Urgent Help please: My neighbor just got two new cats and now she has more than 5 cats. How many cats did she have before?

Answer:

III

Step-by-step explanation:

This is a fact - A point having a negative abscissa and negative ordinate is in quadrant III.

Answer:

Which characteristic is necessary to create a table that compares two functions :

Choose the same values for each function [tex]\huge \checkmark[/tex]

In the given right triangle, the trigonometric ratio, sin J has a fractional value of 5/13 and a decimal value of 0.39.

In trigonometry, for a right triangle, the sine (sin) of any angle θ is given as the ratio of its opposite side to the hypotenuse of the triangle, that is, sin θ = (opposite side)/(hypotenuse).

In the question, we are asked to find the trigonometric ratio, sin J, for the given right triangle JKL.

The side opposite to angle J is KL, which has a value of 3 units.

The hypotenuse of the given right triangle is JK, which has a value of 7.8 units.

Thus, sin J can be calculated as:

sin J = KL/JK = 3/7.8 = 5/13 = 0.39.

Thus, in the given right triangle, the trigonometric ratio, sin J has a fractional value of 5/13 and a decimal value of 0.39.

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s > 1225 km/hr is the inequality that describes s, the speeds at which a moving object creates a sonic boom given that when an object travels faster than the speed of sound, it creates a sonic boom. This can be obtained the same way of finding algebraic equation using variables ad constants.

From the question it is given that:

From the given statements we can say that sonic booms are created ONLY WHEN the speed of object (s) is greater than the speed of the sound.

This clearly means that sonic booms are produced when s is greater that s

There are three possible situations in the given scenario:

Since we are looking for the true equation of creation of sonic waves,

it would be only the last one (s > 1225 km/hr).

Hence s > 1225 km/hr is the inequality that describes s, the speeds at which a moving object creates a sonic boom given that when an object travels faster than the speed of sound, it creates a sonic boom.

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s > 1225 km/hr is the inequality that describes s, the speeds at which a moving object creates a sonic boom given that when an object travels faster than the speed of sound, it creates a sonic boom. This can be obtained the same way of finding algebraic equation using variables ad constants.

Find the required inequality:

From the question it is given that:

speed of sound is approximately 1225 km/hr

a moving object creates a sonic boom given that when an object travels faster than the speed of sound, it creates a sonic boom

From the given statements we can say that sonic booms are created ONLY WHEN the speed of object (s) is greater than the speed of the sound.

This clearly means that sonic booms are produced when s is greater that s

There are three possible situations in the given scenario:

Speed of light can be less than 1225 km/hr ⇒  s < 1225 km/hr ⇒ no sonic boom is created (assumption is wrong)

s = 1225 km/hr  ⇒ no sonic boom is created (assumption is wrong)

s > 1225 km/hr  ⇒ sonic boom is created (assumption is correct)

Since we are looking for the true equation of creation of sonic waves,

it would be only the last one (s > 1225 km/hr).

Hence s > 1225 km/hr is the inequality that describes s, the speeds at which a moving object creates a sonic boom given that when an object travels faster than the speed of sound, it creates a sonic boom.

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The equation of the graph, in slope-intercept form, is: C. y = 2/3x + 6.

The linear equation of a graph in slope-intercept form is expressed as y = mx + b. Where the variable in the equation are as follows:

Considering the graph given, to write the linear equation it represents, find the slope (m) and the y-intercept (b) of the line.

Slope (m) = rise/run = 2 units/3 units

Slope (m) = 2/3.

The line intercepts the y-axis at y = 6, thus, the y-intercept (b) would be 6. b = 6.

Substitute m = 2/3 and b = 6 into the slope-intercept form equation, y = mx + b:

y = 2/3x + 6

Thus, the equation, in slope-intercept form, that represents the linear graph as shown in the image given is: C. y = 2/3x + 6.

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Answer:

The second answer is correct.

Step-by-step explanation:

Answer:

  C.  5

Step-by-step explanation:

The product of chord segment lengths is the same for the two crossing chords.

One chord has segment lengths 4 and 10; the other has segment lengths x and 8.

  (4)(10) = (x)(8)

  40/8 = x = 5 . . . . . . . divide by the coefficient of x

The value of x is 5, making option C the right choice, using the chord theorem.

The chord theorem, also known as the intersecting chords theorem, is a statement in basic geometry that explains the relationship between the four line segments formed by two intersecting chords inside of a circle. According to this statement, the products of the line segment lengths on each chord are equal.

In the question, we are asked to find the value of x.

Using the chord property, we know that:

8*x = 4*10,

or, 8x = 40,

or, x = 40/8,

or, x = 5.

Thus, the value of x is 5, making option C the right choice, using the chord theorem.

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Using the given information, the average of r and s is 35.5

From the question, we are to determine the average of r and s

From the give information,

The average of p, q and 27 is 28.

That is,  

(p + q + 27)/3 = 28

p + q + 27 = 3×28

p + q + 27 = 84

p + q = 84 - 27

p + q = 57

Also,

The average of p, q, r, s and 27 is 31

That is,

(p + q + r + s + 27)/5 = 31
p + q + r + s + 27 = 5 × 31

p + q + r + s + 27 = 155

Thus,

57 + r + s + 27 = 155

r + s = 155 - 57 - 27

r + s = 71

The average of r and s is (r + s)/2

(r + s)/2 = 71/2

(r + s)/2 = 35.5

Hence, the average of r and s is 35.5

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The required probability of the coin landing tails up at least two times is 15/16.

Given that,
A fair coin is flipped seven times. what is the probability of the coin landing tails up at least two times is to be determined.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
In the given question,
let's approach inverse operation,
The probability of all tails  = 1 / 2^7 because there is only one way to flip these coins and get no heads.
The probability of getting 1 head = 7 /2^7
Adding both the probability = 8 / 2^7
Probability of the coin landing tails up at least two times = 1 - 8/2^7
                                                                                     = 1 - 8 / 128
                                                                                     = 120 / 128
                                                                                     = 15 / 16

Thus, the required probability of the coin landing tails up at least two times is 15/16.

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Answer:

x = 4

Step-by-step explanation:

These triangles are similar by the AA Similarity Postulate.

12 + 4 = 16

(5x - 2)/12 = 6x/16 (3x/8)

Cross multiply: 8(5x - 2) = 12(3x)

40x - 16 = 36x

4x - 16 = 0

4x = 16

x = 4

The volume of a solid is  [tex]\frac{26}{3} \pi[/tex].

Given

The given curves about the specified line. y = x + 1, y = 0, x = 0, x = 2; about the x-axis

Curve is y = x + 1

Line is y = 0

We have to find out the volume v of the solid obtained by rotating the region bounded by these curves.

If the region bounded above by the graph of f, below by the x-axis, and on the sides by x=a and x=b is revolved about the x-axis, the volume V of the generated solid is given by [tex]V = \pi \int\limits^b_a {(f(x))^{2} } \, dx[/tex]. We can also obtain solids by revolving curves about the y-axis.

Volume of a solid:

According to washer method:

[tex]V = \pi \int\limits^b_a {(f(x))^{2} } \, dx[/tex]

Using washer method, where a=0 and b=2, we get

V = [tex]\pi \int\limits^2_0 {(x+1)^{2} } \, dx[/tex]

= [tex]\pi[ \frac{(x+1)^{3} }{3} ]0 \ to \ 2[/tex]

= [tex]\pi [\frac{(3+1)^{3} }{3} -\frac{(0+1)^{3} }{3}][/tex]

= [tex]\pi [\frac{27}{3} -\frac{1}{3} ][/tex]

= [tex]\pi [\frac{26}{3}][/tex]

= [tex]\frac{26}{3} \pi[/tex]

Therefore the volume of a solid is  [tex]\frac{26}{3} \pi[/tex].

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Using limits, the correct option regarding the end behavior of the function is given by:

A. as x→∞, y→−∞ as x→−∞, y→−∞.

The end behavior is found calculating the limit of f(x) as x goes to infinity.

For this problem, the equation is given by:

[tex]f(x) = -x^6 - 6x^5 + 50x^3 + 45x^2 - 108x - 108[/tex]

Since x goes to infinity, we consider only the term with the highest exponent, hence the limits are given as follows:

[tex]\lim_{x \rightarrow -\infty} f(x) = \lim_{x \rightarrow -\infty} -x^6 - 6x^5 + 50x^3 + 45x^2 - 108x - 108 = \lim_{x \rightarrow -\infty} -x^6 = -(-\infty)^6 = -\infty[/tex]

[tex]\lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} -x^6 - 6x^5 + 50x^3 + 45x^2 - 108x - 108 = \lim_{x \rightarrow \infty} -x^6 = -(\infty)^6 = -\infty[/tex]

Hence the correct option is:

A. as x→∞, y→−∞ as x→−∞, y→−∞.

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Answer: 88°

Step-by-step explanation:

We know that the ratio of ∠DCB : ∠ACD is 3:1. In other words, ∠DCB is [tex]\frac{3}{3+1}[/tex], or [tex]\frac{3}{4}[/tex] of the whole angle (i.e., ∠ACB), while ∠ACD is [tex]\frac{1}{4}[/tex] of the whole angle.

To easily find ∠ACB, which is the sum of both angles, we can add up all the angles of [tex]\triangle ABC[/tex] and set it equal to 180°.

[tex]m\angle A + m\angle B + m\angle ACB = 180\\75+53+m\angle ACB=180\\128+m\angle ACB=180\\m\angle ACB=52[/tex]

From here, we can calculate ∠BCD by multiplying the value of ∠ACB by three-fourths.

[tex]m\angle BCD = \frac{3}{4}(m\angle ACB)\\m\angle BCD = \frac{3}{4}(52)\\m\angle BCD = 39[/tex]

Similar to what we did to get the measure of ∠ACB, we can add up all the angles measures of [tex]\triangle DBC[/tex] to get the measure of ∠BDC.

[tex]m\angle B + m\angle BDC + m\angle BCD = 180\\53+m\angle BDC + 39= 180\\92+ m\angle BDC=180\\m\angle BDC = 88[/tex]

The measure of ∠BDC is 88°.

The inequality that describes the number of stars S that Kwame must earn per day to get a prize from the classroom treasure box is: S > 16.

The number of stars that he earns is represented by the variable S. He must earn more than 16 stars to earn a prize from the classroom treasure box, hence the inequality that represents the desired amount is given as follows:

S > 16.

Which is read as:

S is greater than 16, which is derived from the Fact that Kwame must earn more than 16 stars per day to get a prize, as stated in the problem.

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[tex]y = mx + n[/tex]

[tex]m = \frac{y - y}{x - x} = \frac{5 - ( - 1)}{ - 5 - ( - 3)} = \frac{6}{ - 2} = - 3[/tex]

[tex]y = - 3x + n \\ [/tex]

[tex]5 = - 3( - 5) + n \\ n = 5 - 15 = - 10[/tex]

[tex]y = - 3x - 10[/tex]

Answer:

  68 miles

Step-by-step explanation:

The total distance can be determined from the fractions.

Let d represent the total distance of the race.

The distance running is 1/2d. The distance swimming is 1/4d. The remaining distance is 17 miles.

  Remaining = total distance - distance running - distance swimming

  17 mi = d -1/2d -1/4d = 1/4d . . . . . . . . use known fractions

  68 mi = d . . . . . . . multiply by 4

The total distance of the race is 68 miles.

__

Additional comment

This would be a very difficult race. A typical "iron man" race has a swimming distance under 2.5 miles, less than 1/10 of the distance running. The biking distance is typically about 4 times the running distance of "only" 26 miles. An iron man race can take about 17 hours to complete.

This race has a 17-mile swimming segment, which would take a fast swimmer on the order of 8 hours, by itself. (This is 2.7 times the length of a "marathon" swim.) Here, the running distance is 34 miles, about 30% longer than a marathon.

The term that is not possible in the domain of a sequence is:

-5

The domain of a function is the set that contains all possible input values for the function. For a sequence, the domain is the set that contains all the indexed of the terms, starting at 0 and going until the nth term.

For example, suppose we have the following sequence: 3, 5, 7, ...

From what was explained above, which also can be visualized with the example, an index term of a sequence cannot be negative, hence the term that is not possible in the domain of a sequence is:

-5.

Which is the only negative number of the options.

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The difference between the mean times is about 2 times the absolute deviation of the data sets.

Given that the difference of the means is found.

The difference in the means is basically the absolute difference between the mean of two groups. It explains the mean of two groups. It explains how much difference that exists between the average between two groups.Calculating mean difference is significant during clinical trials where we have the experimental group and the control group. The mean absolute deviations is basically the variation of each data value from the mean. It tells us how much the values in a set of data differ from the mean value. It explains the reach of values in a data set. There is a relationship that exists between the difference of the mean absolute deviations.

Hence the difference between the mean times is about 2 times the absolute deviation of the data sets.

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Answer:

Jamie is currently 15.

Step-by-step explanation:

The perimeter of a given shape implies the sum of all its sides. While the area of a given shape is the total value of space it would cover on a 2-dimensional plane.

The perimeter of the shape is 104 cm.

The area of the shape is 640 [tex]cm^{2}[/tex].

The perimeter of a given shape implies the sum of all its length of sides., such that the value of each individual side is summed to a total value.

The area of a given shape is the total value of space it would cover on a 2-dimensional plane. The area of shapes depends on the type of shape.

In the given question, the given shape has 12 sides. Some of these sides can sum up to a given length as shown in the diagram.

So that;

perimeter = 2 + 32 + 10 + 10 + 2 + 32 + 8 + 8

                 = 104 cm

Thus, the perimeter of the shape is 104 cm

ii. The area of the shape = length x width

                                         = 32 x 20

                                         = 640 [tex]cm^{2}[/tex]

Therefore, the area of the given shape is 640 [tex]cm^{2}[/tex].

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The critical value is the z-score right at the edge of the rejection region option (A) is correct.

It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.

It is given that:

The z-score is right at the edge of the rejection region.

As we know, the rejection zone is the area in which we have sufficient data to reject the null hypothesis if our test statistic falls within it.

Thus, the critical value is the z-score right at the edge of the rejection region option (A) is correct.

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The rate of change in the plant's height in terms of inches per week will be 1 2/3 inches.

Rate of change is used to mathematically describe the percentage change in value over a defined period of time, and it represents the momentum of a variable.

The calculation for the rate of change is simple in that it takes the current value of a stock or index and divides it by the value from an earlier period.

The change in y (y being the height of the plant) over 4 weeks was 6 2/3 inches and there are four weeks. Therefore, the average height will be:

= 6 2/3 ÷ 4

= 1 2/3 inches

The average rate of change of the plant growth per week was 1 2/3 inches.  

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Complete question:

Alan's bamboo plant adds some flair to his apartment. In four weeks, Alan has trimmed a total of 6 2/3 inches off the top of the plant. What is the rate of change in the plant's height in terms of inches per week? Ignore the growth rate of the plant.

a.+1 2/3B)-1 2/3C)+3/5D)-5/2

The linear function which represents the line given by the point-slope equation is (B) [tex]f(x)=\frac{1}{2} x+6[/tex].

To find the linear function which represents the line given by the point-slope equation:

Given: [tex]y-8=\frac{1}{2} (x-4)[/tex]

Distribute the right side:

[tex]y-8=\frac{1}{2} (x)-\frac{1}{2} 4\\y-8=\frac{1}{2} x-2[/tex]

Adds 8 on both sides:

[tex]y=\frac{1}{2}x-2+8\\y=\frac{1}{2}x+6[/tex]

Convert to function notation:

[tex]f(x)=y\\f(x)=\frac{1}{2} x+6[/tex]

Therefore, the linear function which represents the line given by the point-slope equation is (B) [tex]f(x)=\frac{1}{2} x+6[/tex].

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The complete question is given below:

Which linear function represents the line given by the point-slope equation y – 8 = y minus 8 equals start fraction one-half end fraction left-parenthesis x minus 4 right-parenthesis. (x – 4)?

A) F(x) = f(x) equals StartFraction one-half EndFraction x plus 4.X + 4

B) f(x) = f(x) equals StartFraction one-half EndFraction x plus 6.

C) X + 6 f(x) = f(x) equals StartFraction one-half EndFraction x minus 10.X –10

D) f(x) = f(x) equals StartFraction one-half EndFraction x minus 12.X – 12

a. altitude = CE

b. bisector = BD

c. exterior angle = ∠ABE

d. median = CF

e. remote interior angles = ∠BCE and ∠CEB

From the question, we are to fill in the blanks

In ΔBCE, we have that ∠BCE is a right angle

Thus,

a. altitude = CE

Also, we have that

∠EBD ≅ ∠CBD

Thus, BD is a bisector

b. bisector = BD

The exterior angle of the triangle is ∠ABE

c. exterior angle = ∠ABE

From the given information,

BF ≅ EF

∴ F is the midpoint of BE

NOTE: Median is a line segment joining the vertex of one side of the triangle to the midpoint of its opposite side.

The median of the triangle is CF

d. median = CF

The remote interior angles of the triangle are ∠BCE  and ∠CEB

e. remote interior angles = ∠BCE and ∠CEB

Hence,

a. altitude = CE

b. bisector = BD

c. exterior angle = ∠ABE

d. median = CF

e. remote interior angles = ∠BCE and ∠CEB

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Based on the logarithms given, the requirement to use one digit, and the figures to be produced, the right numbers are:

The log of a number gives 1 which is an integer so we can find numbers that when multiplied, produce a number that can be taken a log of. Those numbers are 2 and 4:

= 2 x 4

= 8

Log₈ = 1

Taking the log of a number to a decimal form leads to an irrational number. So, find numbers that when divided, will give a decimal:

= 6/5

= 1.2

Take a log of 7:
log₇ (1.2) will give an irrational number.

The remaining numbers ae 9, 3, and 1.

With the numbers 9,3 and 1, the log to produce a rational number is:
log₉3¹ = log₉9¹/² = 1/2

1/2 is a rational number.

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Answer:

the answer is B

a 3d rectangle slided vertically can produce a 2d rectangle

The inequality sign < means "less than." If there is a line underneath the inequality sign that means "less than or equal to."

To graph x < 5, we first need to understand what the inequality is saying. In this case, x must be less than 5. So, a number that will make this inequality true will be less than, but not equal to, 5.

Start by putting an open circle on the number 5. An open circle indicates that 5 is not a value that works in this inequality. Then, we know that our values that make this inequality true are less than 5, so we'll draw an arrow from the circle to the left as numbers to the left of 5 are less than it.

Hope this helps!

we are given x here, so we already know that our first coordinate is equal to -2.

in order to find the next coordinate, we have to substitute x for -2 in the y=mx+b equation.

the equation is

[tex]y = \frac{2}{3} x + 23[/tex]

so in substituting x for -2 we get

[tex]y = \frac{2}{3} ( - 2) + 23[/tex]

all we need to do is multiply ⅔ by -2, which gives us -1,3333.

we now have

[tex]y = - 1.3333 + 3[/tex]

so we add them together and get :

[tex]y = 1.666666[/tex]

hope this helps!!<3

The correct option is the thrid one, the first step is

-x+5= 6x-2

Here we have the system of equations:

y = -x + 5

y = 6x - 2

Now, the variable "y" should represent the same thing in both equations, then we can write:

-x + 5 = y = 6x - 2

If we remove the middle part, we get the equation that only depends on x:

-x + 5 = 6x - 2

This is the first step that we should use to solve the system of equations, which is the one in option 3.

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