If a card is drawn from a deck, find the probability of getting these results:
a. a 6 and a spade
b. a black king
c. a red card and a 7
d. a diamond or a heart
e. a black card

Answers

Answer 1

Answer:

Below in bold,

Step-by-step explanation:

a. There's is only one card that fits this description so

Probability = 1/52.

b. There are 2 black Kings so

Probability = 2/52 = 1/26.

c. There are 2 of these - 7 of diamonds and 7 of hearts

so

Probability = 2/52 = 1/26.

d.  There 13 diamonds and 13 hearts so

Probability = 26/52 = 1/2.

e.  There  26 black cards

Probability = 26/52 = 1/2.


Related Questions

Find the area of the shaded region

Answers

∆BOC is equilateral, since both OC and OB are radii of the circle with length 4 cm. Then the angle subtended by the minor arc BC has measure 60°. (Note that OA is also a radius.) AB is a diameter of the circle, so the arc AB subtends an angle measuring 180°. This means the minor arc AC measures 120°.

Since ∆BOC is equilateral, its area is √3/4 (4 cm)² = 4√3 cm². The area of the sector containing ∆BOC is 60/360 = 1/6 the total area of the circle, or π/6 (4 cm)² = 8π/3 cm². Then the area of the shaded segment adjacent to ∆BOC is (8π/3 - 4√3) cm².

∆AOC is isosceles, with vertex angle measuring 120°, so the other two angles measure (180° - 120°)/2 = 30°. Using trigonometry, we find

[tex]\sin(30^\circ) = \dfrac{h}{4\,\rm cm} \implies h= 2\,\rm cm[/tex]

where [tex]h[/tex] is the length of the altitude originating from vertex O, and so

[tex]\left(\dfrac b2\right)^2 + h^2 = (4\,\mathrm{cm})^2 \implies b = 4\sqrt3 \,\rm cm[/tex]

where [tex]b[/tex] is the length of the base AC. Hence the area of ∆AOC is 1/2 (2 cm) (4√3 cm) = 4√3 cm². The area of the sector containing ∆AOC is 120/360 = 1/3 of the total area of the circle, or π/3 (4 cm)² = 16π/3 cm². Then the area of the other shaded segment is (16π/3 - 4√3) cm².

So, the total area of the shaded region is

(8π/3 - 4√3) + (16π/3 - 4√3) = (8π - 8√3) cm²

Charlie is watching hot air balloons. balloon a has risen at a 50° angle. balloon b has risen at a 78° angle. if the distance from balloon a to the ground is 1,000 feet, how far is balloon b from balloon a? round your answer to the nearest whole number.

Answers

The distance from Balloon A to Balloon B, d ≈ 1,052 feet

What is distance ?

Distance is defined to be the magnitude or size of displacement between two positions. Note that the distance between two positions is not the same as the distance traveled between them. Distance traveled is the total length of the path traveled between two positions. Distance traveled is not a vector.

The given parameters are;

The angle at which Balloon A rises, x° = 50° above horizontal

The angle at which Balloon B rises, y° = 78° above horizontal

The (vertical) distance of Balloon A to the ground, h = 1,000 ft.

The required parameter;

The distance from Balloon A to Balloon B, d

We find the distances of the balloons from Charlie and the angle between the balloon strings, θ, then apply cosine rule

Let,

The height of the balloon strings are equal

The distance of Balloon A to the ground, h₁ = The distance of Balloon B to the ground, h₂ = 1,000 ft.

The distance of the Balloon A  from Charlie, l₁, is given as follows;

l₁ × sin(x°) = h₁

∴ l₁ = h₁/(sin(x°))

Which gives;

l₁ = 1,000 ft./(sin(50°)) ≈ 1,305.41 ft.

l₁ ≈ 1,305.41 ft.

For Balloon B, we get;

h₁ = h₂ = 1,000 ft.

∴ l₂ = 1,000 ft./(sin(78°)) ≈ 1,022.34 ft.

l₂ ≈ 1,022.34 ft

The angle between the balloon strings, θ = 180° - (x° + y°)

∴ θ = 180° - (50° + 78°) = 52°

The angle between the balloon strings, θ = 52°

By cosine rule, we have;

d = √(l₁² + l₂² - 2 × l₁ × l₂ × cos(θ))

∴ d = √(1,305.41² + 1,022.34² - 2 × 1,305.41×1,022.34 × cos(52°)) ≈ 1,052 feet

Therefore, the distance from Balloon A to Balloon B, d ≈ 1,052 feet

Learn more about distance

brainly.com/question/15172156

#SPJ4

What is a simplified representation or abstraction of reality?
a) metric
b) project
c) consolidation
d) model

Answers

Answer:

That would be a model.

Step-by-step explanation:

Like climate scientists use a model of the Earth's processes to make predictions of climate change.

what is the value of sin30°+cos60°​

Answers

The answer is 1.

Here, we need to know the trigonometric values of sin 30° and cos 60°, which are :

sin 30° = 0.5cos 60° = 0.5

Hence, sin 30° and cos 60° :

0.5 + 0.51

808, 408, 208,108, 68 find out wrong number.​

Answers

Differences are -400, -200, -100 So I think the differences are halving each time so next difference should be -50 to give 58 not 68.

68 is the wrong number in the sequence 808, 408, 208,108, 68

What is Number system?

A number system is defined as a system of writing to express numbers.

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

The given sequence is 808, 408, 208,108, 68

Eight hundred eight, Four hundred and eight, two hundred and eight, one hundred eight and sixty eight.

808, 408, 208,108, 68

Let us find the difference between the consecutive numbers

400, 200, 100, 40

As we observe the first three terms having the common ratio where as 40 and 100 has different ratio.

Hence, 68 is the wrong number in the sequence 808, 408, 208,108, 68

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ2

what is - 4x +7 > x -13

Answers

Answer:

[tex]\huge\boxed{\sf x < 4}[/tex]

Step-by-step explanation:

Given inequality:

-4x + 7 > x - 13

Subtract x to both sides

-4x - x + 7 > -13

-5x + 7 > -13

Subtract 7 to both sides

-5x > -13 - 7

-5x > -20

Divide -5 to both sides

x < -20/-5

x < 4

[tex]\rule[225]{225}{2}[/tex]

Answer:

[tex]x < \bf 4[/tex]

Step-by-step explanation:

[tex]-4x + 7 > x -13[/tex]

We have to make [tex]x[/tex] the subject of the equation:

Subtract [tex]x[/tex] from both sides:

[tex]-4x - x + 7 > -13[/tex]

⇒ [tex]-5x + 7 > -13[/tex]

• Now subtract 7 from both sides:

[tex]-5x > -13 - 7[/tex]

⇒ [tex]-5x > -20[/tex]

• Next divide both sides by -5, and remember that dividing an inequality by a negative number reverses the inequality symbol:

[tex]x < \frac{-20}{-5}[/tex]

⇒ [tex]x < \frac{20}{5}[/tex]

⇒ [tex]x < \bf 4[/tex]

What is the radius of the sector of the circle below, if the area is 30.39 m^2 and the central angle < AOB measures 43 °. (round answer to the nearest whole meter)

Answers

Answer:

a. 9m

Step-by-step explanation:

Pi = 3.14 = 22/7

formula :

Area of a Sector of a Circle = (central angle)/360 * πr² =

(central angle)/360 * πr² = Area of a Sector of a Circle

43/360 * Pi * r^2 = 30.39

r^2 = (30.39 * 360) / (Pi * 43)

r^2 = (30.39 * 360) / (22/7 * 43)

r = √ (30.39 * 360 * 7) / (22 * 43)

r = √76582.8/946

r = √80.9543340381

8.99746264444 which is roughly

9

The radius of the sector will be 9m. The correct option is A.

What is the arc length of the circle?

The distance between two places along a segment of a curve is known as the arc length. Curve rectification is the process of measuring the length of an irregular arc segment by simulating it as a network of connected line segments.

The radius will be calculated as below:-

Area of a Sector of a Circle = (central angle)/360 * πr² =

(Ф)/360 * πr² = Area of a Sector of a Circle

43/360 * Pi * r²= 30.39

r² = (30.39 * 360) / (Pi x 43)

r²= (30.39 x 360) / (22/7 x 43)

r = √ (30.39 x 360 x 7) / (22 x 43)

r = √76582.8/946

r = √80.9543340381

r = 9

Therefore, the radius of the sector will be 9m. The correct option is A.

To know more about the arc length of the circle follow

https://brainly.com/question/26235466

#SPJ5

If a = 1,b=2 and c=-3 find
a^b-c b^c-a c^a-b

Answers

Answer:

The value of

[tex]a {}^{b} - c \: b {}^{c} - a \: c {}^{a} - b \: [/tex]

is

[tex] \frac { 19}{8} [/tex]

Step-by-step explanation:

Greetings !

[tex]a {}^{b} - c \: b {}^{c} - a \: c {}^{a} - b[/tex]

where,

a=1b=2c=-3

Thus, substitute these values to the given equation to find the values.

[tex]a {}^{b} - c \: b {}^{c} - a \: c {}^{a} - b ... \: substitute \: \\ given \: values \\ (1) {}^{2} - ( - 3)(2) {}^{ - 3} - 1( - 3) {}^{1} - 2 \\ 1 + 3 \: ( \frac{1}{8} ) - 1( - 3) - 2 \\ 1 + \frac{3}{8} + 3 - 2 \\ \frac{11}{8} + 3 - 2 \\ \frac{35}{8} - 2 \\ \frac{19}{8} = 2 \frac{3}{8} [/tex]

Hope it helps

What is the area of parallegram ABCD

Answers

Answer:

c

Step-by-step explanation:

if you take the triangle off of the left side and attach it to the left side then you would have a 6 by 4 rectangle that has an area of 24 units squared.

A teacher prepares a test. She gives 5 objective type questions out of which 4 have to be answered. Find the total ways in which they can be answered if the first 2 questions have 3 choices and the last 3 have 4 choices.

Answers

The total number of ways in which 4 questions can be answered if the first 2 questions have 3 choices and the last 3 have 4 choices = 144 + 192 = 336

How to find probability combinations?

We are given;

Total number of objective questions = 5 questions

Number of choices of first 2 questions = 3 choices

Number of choices of last 3 questions = 4 choices

Number of ways of answering the first 2 questions = 3 * 3 = 9 ways

Number of ways of answering the last 3 questions = 4 * 4 * 4 = 64 ways

Total number of ways of answering the five questions = 9 * 64 = 576 ways

Now, she has to answer only 4 which means it can be either 2 of the first and 2 of the last of 1 of the first and 3 of the last.

Thus, total number of ways of answering 4 questions if it is fist 2 and last 2 = 9 * 16 = 144

Total number of ways of answering 4 questions if 1 of the first and 3 of the last = 3 * 64 = 192

The total number of ways in which they can be answered if the first 2 questions have 3 choices and the last 3 have 4 choices = 144 + 192 = 336

Read more about Probability Combinations at; https://brainly.com/question/11732255

#SPJ1

20 points !!!
help me please !!

Answers

Minimum: 59

Lower Quartile: 67

Median: 76

Upper Quartile: 86

Maximum: 92

Interquartile Range: 19

Find a power series representation for the function. (center your power series representation at x = 0. ) f(x) = 1 9 x f(x) = [infinity] n = 0

Answers

The power series representation for the function, so the interval of convergence is (-9,9).

The definition of convergence refers to 2 or more matters coming together, joining collectively, or evolving into one. An example of convergence is when a crowd of people all move collectively into a unified organization.

Convergence is when two or extra matters come collectively to shape a brand new whole, like the convergence of plum and apricot genes within the plucot. Convergence comes from the prefix con-, meaning collectively, and the verb verge, because of this to show closer to.

The simple concept of convergence permits multiple responsibilities to be accomplished on a single device, which efficiently conserves space and power. for example, as opposed to wearing separate devices – like a cell cellphone, digital camera, and virtual organizer – each era converges on a single tool or telephone.

We have given f(x)=1/(9+x)

f(x)=(1/9)*(1/(1-(-x/9))

f(x)=summation of (n=0 to infinity) [1/9*(-x/9)n]

=summation of (n=0 to infinity) [(-1)n*(xn/9n+1)]

f(x)=summation of (n=0 to infinity) [(-1)n*(xn/9n+1)]

Let an=(-1)n*(xn/9n+1)

using the Ratio Test

L=lim n-->infinity|an+1/anL=lim n-->infinity|[(-1)n+1*(xn+1/9n+2)]/[(-1)n*(xn/9n+1)]|

=lim n-->infinity|[(-1)n+1*(xn+1/9n+2)]*[9n+1/(-1)n*(xn)]|

=lim n-->infinity|(-1)*(x)/9)|

=|-x/9|<1

x/9<1 and x>9>-1

x<9  and x>-9

x is -9<x<9

for x=9 the series ,summation of (n=0 to infinity) [(-1)n*(9n/9n+1)] =summation of (n=0 to infinity) [(-1)n*(/9)]

=1/9*summation of (n=0 to infinity) [(-1)n]

By the geometric series this summation of (n=0 to infinity) [(-1)n] diverges

=1/9*diverges

the series diverges for x=9

for x=-9 the series ,summation of (n=0 to infinity) [(-1)n*(-9)n/9n+1)] =summation of (n=0 to infinity) [(-1)2n*(/9)]

=1/9*summation of (n=0 to infinity) [(-1)2n]

which is diverges

so the interval of convergence is (-9,9)

Learn  more about convergence here https://brainly.com/question/21089324

#SPJ4

Mrs. wright made 92 cups of fruit punch for a party. how many gallons of punch did she make?

Answers

Answer:

5.75 - 5 3/4

Step-by-step explanation:

1 Cup = 0.0625 gallons

92 cups = 5.75 gallons

201
5. One flight took a total of 4.6 hours. Write this number as a mixed number
and as an improper fraction. Show your work in the space below. Remember
to check your solution.

Answers

The improper fraction is 25 / 6 hours

The mixed fraction is  [tex]4\frac{1}{6}[/tex] hours.

What is the mixed fraction and the improper fraction?

The time is written as a decimal. A decimal is a number that is made up of integers and non-integers. The integers are separated from the non-integers by a decimal point.

A mixed number is a fraction that is made up of a whole number and a proper fraction. A proper fraction is a fraction whose numerator is less than the denominator. An improper fraction is a fraction whose numerator is greater than the denominator.

In order to convert 4.6 hours to a mixed fraction, the proper fraction has to be determined. To determine this value, multiply 0.6 by the minutes in an hour

0.6 x 60 minutes = 10 minutes

The decimal becomes : [tex]4\frac{10}{60}[/tex] hours

[tex]4\frac{1}{6}[/tex] hours

To convert the mixed fraction to an improper fraction, multiply the denominator by the whole number and add the numerator, then divide by the denominator

The improper fraction is : 25 / 6 hours

To learn more about decimals, please check: https://brainly.com/question/15287678

#SPJ1

Which if the following rational functions is graphed below?

A.F(x)=1/x+4

B.F(x)=1/4x

C.F(x)=1/x-4

D.F(x)=4/x

Answers

[tex]\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}[/tex]

Take note that there is a vertical asymptote at x = -4. This means that our function has the form:

▪ [tex]\longrightarrow \sf{F (x)=\dfrac{A}{x + 4} }[/tex]

[tex]\leadsto[/tex] By comparing it with the given options, the correct option is A.

[tex]\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}[/tex]

◉ [tex] \bm{A. \: \: F(x)= \dfrac{1}{x + 4} }[/tex]

Can you please answer this question

Answers

Answer:

look above

Step-by-step explanation:

hope it helps

How old is David
please help me

Answers

Answer: 25 ?

Step-by-step explanation:

Enduro solved -4x > 120 by adding 4 to each side of the inequality. What mistake did he make?

Answers

The mistake made by Enduro is that he is supposed to divide both sides by -4 instead of adding 4 to each sides

What are inequalities?

Inequalities are expressions that have unequal values, when compared

How to determine Enduro's mistake?

The inequality is given as

-4x > 120

When 4 is added to both sides, the inequality becomes

4 - 4x > 120 + 4

The above is not the solution to the inequality.

The solution is as follows:

We have:

-4x > 120

Divide both sides inequality by -4

x < -30

Hence, the mistake made by Enduro is that he is supposed to divide both sides by -4 instead of adding 4 to each sides

Read more about inequality at:

https://brainly.com/question/24372553

#SPJ1

Look at the diagram below

Answers

Answer:

TRUE

Since , Angle ABD is congruent or equal to Angle CBD

we know that sides opposite to equal angles are also equal.

i.e AD and CD are opposite sides to angles ABD and CBD respectively.

So, AD = CD

Which rule describes the composition of transformations that maps ΔJKL to ΔJ"K"L"?

90 degree rotation about point 0 composition translation of 0 units x, negative 2 units y
Translation of 0 units x, negative 2 units y composition 90 degree rotation about point 0
90 degree rotation about point 0 composition translation of negative 2 units x, 0 units y
Translation of negative 2 units x, 0 units y composition 90 degree rotation about point 0

Answers

A rule which describes the transformations that maps ΔJKL to ΔJ"K"L" is: D. translation of -2 units x, 0 units y composition 90 degree rotation about point 0.

What is a transformation?

A transformation refers to the movement of a point on a cartesian coordinate from its original (initial) position to a new location.

In Geometry, there are different types of transformation and these include the following:

DilationReflectionRotationTranslation

Based on the diagram (see attachment), we can infer and logically deduce that a rule which describes the transformations that maps triangle JKL to triangle J"K"L" is a rotation of 90 degrees about the origin and then translated 2 units left.

Read more on transformations here: https://brainly.com/question/27939466

#SPJ1

Half of the children in a library group like pets, one fourth don't like pets and seven children do not have any
preference. How many students in the library group like pets?

Answers

Answer:

14 children

Step-by-step explanation:

Half the children like pets and a quarter of the children do not, so another quarter does not have preference. Let x = total number of children, and we would have this equation.

0.25x = 7

x = 28


Since we are asked to give the number of children who like pets, 28/2 = 14 is the answer.

Use the standard deviation to identify any outliers in the given data set.
{35, 31, 29, 34, 6, 31, 32, 30}

Answers

Considering the standard deviation, the data-set has no outliers.

What are the mean and the standard deviation of a data-set?

The mean of a data-set is given by the sum of all values in the data-set, divided by the number of values.The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the number of values.

For the given data-set, the mean is:

(35+31+29+34+6+31+32+30)/8 = 28.5.

Hence the standard deviation is:

[tex]S = \sqrt{\frac{(35-28.5)^2+(31-28.5)^2+(29-28.5)^2+(34-28.5)^2+(6-28.5)^2+(31-28.5)^2+(32-28.5)^2+(30-28.5)^2}{8}} = 8.7[/tex]

A measure is said to be an outlier if it is more than 3 standard deviations for the mean. Hence the thresholds are:

Less than 28.5 - 3 x 8.7 = 2.4.More than 28.5 + 3 x 8.7 = 54.6.

Since all values are between 2.4 and 54.6, the data-set has no outliers.

More can be learned about the standard deviation of a data-set at https://brainly.com/question/24754716

#SPJ1

Walter used the iterative process to determine that √13 is between 3.61 and 3.62.Analyze Walter’s estimation. Is he correct? If not, what was his mistake?
A-Yes, Walter is correct.
B-No, 3.612 is less than 13.
C-No, both 3.612 and 3.622 are greater than 13.
D-No, both 3.612 and 3.622 are less than 13.
i need the right answer

Answers

The correct option is C no, both 3.61^2 and 3,62^2 are greater than 13.

Is he correct? If not, what was his mistake?

To check this, we can just square both of the bounds that he found, and see if it makes sense.

Walter says hat:

3.61 < √13 < 3.62

Then we must have:

(3.61)^2 < 13 < (3.62)^2

The lower bound is 3.61, if we square it we get:

3.61*3.61 = (3 + 0.61)*(3 + 0.61) = 9 + 6*0.61 + 0.61*0.61 = 13.0321

Now, this is larger than 13, so the above inequality is false, which means that Walter is incorrect, because both 3.61 and 3.62 are larger than √13 , then the correct option is C.

If you want to learn more about square roots:

https://brainly.com/question/98314

#SPJ1

Answer:

c

Step-by-step explanation:

c

Magda utilizó una cuadrícula de 1 cm de lado para dibujar la figura sombreada, usando triángulos
rectángulos.

Answers

The area of ​​the figure Magda shaded with side lengths of 1 and √2 centimeter is equal to 1.21 cm².

How to calculate the area of a triangle?

Mathematically, the area of a triangle can be calculated by using this formula:

Area = 1/2 × b × h

Where:

b represents the base area.h represents the height.

In order to calculate the area of ​​the figure Magda shaded with side lengths of 1 and √2 centimeter, we would determine the area of ​​each triangle as follows:

For triangle 1, we have:

Area = 1/2 × b × h

Area = 1/2 × 1 × 1

Area = 0.5 cm².

For triangle 2, we have:

Area = 1/2 × b × h

Area = 1/2 × √2 × 1

Area = 0.71 cm².

Total area = Area of triangle 1 + Area of triangle 2

Total area = 0.5 + 0.7

Total area = 1.21 cm².

Read more on area of triangle here: brainly.com/question/2391510

#SPJ1

Complete Question:

Magda used a 1 cm square grid to draw the shaded figure, using right triangles. 1 cm 3 cm √2 cm 1 cm 1 cm what is the area of ​​the figure Magda shaded?​

how do you find the length of a rectangle if the diagonal is 10 inches long and the width is 8 inches

Answers

Answer:

Step-by-step explanation:

Use pythagorean theorem (a^2+b^2=c^2). The diagonal represents c and the width represents b or a. 8^2+b^2=10^2->64+b^2=100->b^2=36->b=6. So your height would be 6.

Quick algebra 1 question for 10 points!

Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!

Answers

They all to seem have a y-intercept of (0,-4) so i will be looking at their x-intercept.

x-intercept = intersection w/ x axis = y:0

[tex]3x + y = - 4 \\ 3x + 0 = - 4 \\ 3x = - 4 \\ x = \frac{ - 4}{3} = - 1.333[/tex]

It has to be the last line in the second picture since it intersects the x axis at approximately x=-1.333

[tex]\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}[/tex]

◉ [tex] \bm{Last \: option \: (D.)}[/tex]

[tex]\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}[/tex]

Write the equation in slope-intercept form. Then solve y.

[tex]\small\longrightarrow \sf{3x-3x + y = −3x -4}[/tex]

[tex]\small\longrightarrow \sf{y= -3x-4}[/tex]

Identify the x-intercept,

[tex]\small \sf \longrightarrow{3x + 0 = - 4}[/tex]

[tex]\small\longrightarrow \sf{3x=-4}[/tex]

[tex]\small\longrightarrow \sf{x = - \dfrac{4}{3} }[/tex]

[tex]\small\longrightarrow \sf{x = -1.33}[/tex]

The graph has the next properties:

[tex]\small\longrightarrow \sf{Slope: \: 3}[/tex]

[tex]\small\longrightarrow \sf{x-intercept: \: (-1.33,0)}[/tex]

[tex]\small\longrightarrow \sf{y-intercept: \: (0,4) }[/tex]

Quick algebra 1 question for 10 points!

Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!

Answers

Answer:

sub -2 into 12x^3 - 15

h(-2) = 12(-2)^3 -15

        = -111

hope this helps!!!! If it's incorrect I'm sorry :(

Answer:

[tex]h(-2) =\boxed{ \bf -111}[/tex]

Step-by-step explanation:

The function [tex]h(x)[/tex] is defined as:

[tex]h(x) = 12x^3 - 15[/tex]

To calculate the value of [tex]h(-2)[/tex], we have to replace the [tex]x[/tex] in the definition of [tex]h(x)[/tex] with -2:

[tex]h(-2)[/tex] = [tex]12(-2)^3 - 15[/tex]

       ⇒ [tex]12(-8) -15[/tex]

       ⇒ -96 - 15

       ⇒ -111

       

find the average rate of change of the function in the interval 6,13

Answers

Using it's concept, the average rate of change of the function on the interval [6,13] is given by:

[tex]r = \frac{f(13) - f(6)}{7}[/tex]

What is the average rate of change of a function?

The average rate of change of a function is given by the change in the output divided by the change in the input. Hence, over an interval [a,b], the rate is given as follows:

[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]

In this problem, we want to find the rate in the interval [6, 13], which is given as follows:

[tex]r = \frac{f(13) - f(6)}{13 - 6} = \frac{f(13) - f(6)}{7}[/tex]

More can be learned about the average rate of change of a function at https://brainly.com/question/24313700

#SPJ1

What is the period of y=−5 cos( 8 π ​ x)+3? Give an exact value. units PLEASE MAKE IT QUICK

Answers

Answer:

Maximum/Minimum Value:  (0,−2)   is a local minima (1/8,8)  is a local maxima

Explanation: Use the derivative to find the maximum and minimum

Answer:

Period = ¹/₄

Step-by-step explanation:

The cosine function is periodic, meaning it repeats forever.

Standard form of a cosine function:

f(x) = A cos(B(x + C)) + D

where:

A = amplitude (height from the mid-line to the peak)2π/B = period (horizontal distance between consecutive peaks)C = phase shift (horizontal shift - positive is to the left)D = vertical shift

Given function:

[tex]y=-5 \cos (8 \pi x)+3[/tex]

Comparing the given function with the standard form:

A = 5B = 8πC = 0D = 3

[tex]\implies \sf Period=\dfrac{2 \pi}{B}=\dfrac{2 \pi}{8 \pi}=\dfrac{1}{4}[/tex]

Therefore, the period of the given function is ¹/₄.

Learn more about cosine functions here:

https://brainly.com/question/27818219

Volume=
Help me please! Thank u so much I appreciate it

Answers

the volume of the oblique pyramid is 16 cubic units

How to determine the volume

The formula for finding the volume of a oblique pyramid is given as;

Volume = [tex]\frac{1}{3}[/tex] × base area/ height

Where

base area = area of a right triangle

From the lengths of the triangle given, we can deduce that the opposite side is 24unit and the adjacent side or the base is 10 unit

let's put in the values to the formula

Base area = 10 × 24

Base area = 240 units

height = 5 units

Since we have both the height and the base area, let's find the volume

Volume = [tex]\frac{1}{3}[/tex] × [tex]\frac{240}{5}[/tex]

Volume = [tex]\frac{1}{3}[/tex] × [tex]48[/tex]

Find the division

Volume = 16 cubic units

Thus, the volume of the oblique pyramid is 16 cubic units

Learn more about an oblique pyramid here:

https://brainly.com/question/24249430

#SPJ1

Other Questions
A plate is generally considered countable if it has between __ and ___colonies. A 4. 0 g sample of ra-226 decays to 1. 0 g. if the half-life of ra-226 is 1620 years, how much time has elapsed? Select all the correct answers. an unmanned spacecraft leaves for venus. which statements about the spacecrafts journey are true? the weight of the spacecraft keeps changing. the mass of the spacecraft keeps changing. the weight of the spacecraft remains the same. the mass of the spacecraft remains the same. the gravitational pull on the spacecraft remains the same. An advantage of the use of computers to maintain and compile accounting information is ______. multiple choice question. speed automatic decision making no training required ease of programming how can we solve environmental degradation ? some of the causes of flood It is typical of presidents to enact ______ executive orders during their first days in office How is this discovery an example of the importance of how the scientific community works? Include in your answer what the phrase ""cross-applications"" means What type of promotion offers an item for free or at an extreme bargain price to reward a specific buyer behavior? If the government saw that consumer confidence was low, what step can it take to shift the ad to the right? A boat sails on a bearing of 63 for 124 miles and then turns and sails 201 miles on a bearing of 192. Find the distance of the boat from its starting point. The volume of a pyramid that fits exactly inside a cube is 18 cubic feet. what is the volume of the cube? 6 cubic feet 18 cubic feet 54 cubic feet 72 cubic feet Calculate the ph at the equivalence point for the titration of 0. 22 m hcn with 0. 22 m naoh. (ka = 4. 9 10^10 for HCN). Bebe receives a letter from the FBI stating that she is wanted for a crime. The letter says she must send her Social Security number. What should she do in order to best protect her personal information? A. Send a note to the address given on the letter and ask the sender to provide evidence of the case against her. B. Call the phone number included with the letter and ask for more details. C. Send her Social Security number immediately. D. Contact her local police department and report a possible fraud attempt. how do i write 4x+5y=20 in slope intercept form If kerstetter home builders were to acquire the window company, the acquisition would be classified as a(n) ________ acquisition. Cidr simplifies how routers and other network devices need to think about the parts of an ip address, but it also allows for more arbitrary network sizes. what does cidr stand for? Daven, age 20, visits his 80-year-old grandma, vivian. daven warns vivian that he worries she could fall victim to "phishing." vivian has no idea what this means. how can daven best explain this to vivian? group of answer choices this is when someone changes the address on your bills and has them sent to a new address so they can steal your information. this is when someone follows you so they can easily take your wallet or purse and use whatever they have stolen to make purchases. this is when someone calls or emails you and asks you for personal information that can help them steal your identity. this is when someone goes through your trash to find old statements and bills that they can use to gather information about you. A trna with the anticodon sequence 5 iua 3 will not normally exist because? Trigonometry Question What is sport journalism