Answers
[tex] \sqrt[4]{ - 8} [/tex]
Explanation:The input of a radical should be strictly positive or equal to zero when the nth root is even.Related Questions
Find the value of t for a t-distribution with 50 degrees of freedom such that the area to the right of t equals 0.010. Round your answer to three decimal places, if necessary.
I WILL MARK BRAINLIEST FOR FASTEST AND CORRECT ANSWER!!!
Answers
Using a calculator, the critical value for the t-distribution with a confidence level of 99% and 49 df is of Tc = 2.4049.
How to find the critical value of the t-distribution?It is found using a calculator, with two inputs, which are given by:
The confidence level.The number of degrees of freedom, which is one less than the sample size.In this problem, the inputs are given as follows:
Confidence level of 99%, as 1 - 0.01 = 0.99.49 degrees of freedom, as 50 - 1 = 49.Hence, using a calculator, the critical value for the t-distribution with a confidence level of 99% and 49 df is of Tc = 2.4049.
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Micheal was asked to give examples of the identity property of addition and the identity property of multiplication. Below are his answers. Identity property of addition: 8 + 1 = 8 identity property of multiplication: 8(0) = 0 What was his mistake
Answers
Answer:
Identity property of addition 8 + 0 = 8
Identity property of multiplication 8 x 1 = 8
Step-by-step explanation:
He mixed up his properties. 8 + 1 does not equal 8. I want to know what I can add to 8 and that I would still get 8, the answer is zero.
The identity property of multiplication is showing that any number multiplied by 1 is itself.
There are 6 dogs and 5 cats. In how many different orders can these animals be placed in line if any animal can be next to any other animal?
Answers
120=!3÷!6
!2-!5=!3
to 120 modes
Which of the following correctly uses absolute value to show the distance between -80 and 15?
O-80-1511-95| = -95 units
1-80+ 15| = |-65| = 65 units
O-80-15| = |-95| = 95 units
O-80 + 15| = |-65| = -65 units
Answers
Answer:
C
Step-by-step explanation:
|-80 - 15| = 95
The distance between -80 and 15 is 95
80 to 0 plus 15.
Identify an equation in standard form for a hyperbola with center (0, 0), vertex (−5, 0), and focus (−6, 0).
Answers
An equation in standard form for a hyperbola with center (0, 0), vertex (-5, 0), and focus (-6, 0) is given by y²/25 - x²/9 = 1.
What is an equation?An equation can be defined as a mathematical expression which is used to show and indicate that two (2) or more numerical quantities are equal.
How to determine the equation of a hyperbola?Mathematically, the equation of a hyperbola in standard form is given by:
[tex]\frac{(y\;-\;k)^2}{a^2} - \frac{(x\;-\;h)^2}{b^2} = 1[/tex]
Given the following data:
Center (h, k) = (0, 0)
Vertex (h+a, k) = (-5, 0)
Foci, F = (h+c, k) = (-6, 0) and F' = (6, 0)
Also, we can logically deduce that the value of a and c are -5 and -6 respectively.
For the value of b, we would apply Pythagorean's theorem:
c² = a² + b²
b² = c² - a²
b² = (-6)² - (-5)²
b² = 36 - 25
b² = 9.
b = √9
b = 3.
Substituting the given parameters into the equation of a hyperbola in standard form, we have;
[tex]\frac{(y\;-\;k)^2}{a^2} - \frac{(x\;-\;h)^2}{b^2} = 1\\\\\frac{(y\;-\;0)^2}{-5^2} - \frac{(x\;-\;0)^2}{3^2} = 1\\\\\frac{y^2}{-5^2} - \frac{x^2}{3^2} = 1\\\\\frac{y^2}{25} - \frac{x^2}{9} = 1[/tex]
y²/25 - x²/9 = 1.
In conclusion, we can logically deduce that an equation in standard form for a hyperbola with center (0, 0), vertex (-5, 0), and focus (-6, 0) is given by y²/25 - x²/9 = 1.
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Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle. x = 4 − y2, x = y2 − 4
Answers
The region enclosed by the given curve is integrated with respect to y and the area is 21.33 square units.
In this question,
The curves are x = 4 - y^2 -------- (1) and
x = y^2 - 4 ------- (2)
The limits of the integral can be found by solving these two curves simultaneously.
On equating (1) and (2),
[tex]4 - y^2 = y^2 - 4[/tex]
⇒ [tex]4 +4 = y^2 +y^2[/tex]
⇒ [tex]8= 2y^2[/tex]
⇒ [tex]y^2=\frac{8}{2}[/tex]
⇒ [tex]y^2=4[/tex]
⇒ y = +2 or -2
The limits of y is {-2 < y +2} or 2{0 < y < 2}
The diagram below shows the region enclosed by the two curves.
The region enclosed by the given curves can be integrated with respect to y as
[tex]A=2\int\limits^2_0 {[(4-y^{2})-(y^{2}-4 )] } \, dy[/tex]
⇒ [tex]A=2\int\limits^2_0 {[4-y^{2}-y^{2}+4 ] } \, dy[/tex]
⇒ [tex]A=2\int\limits^2_0 {[8-2y^{2} ] } \, dy[/tex]
⇒ [tex]A=2[8y-\frac{2y^{3} }{3} ]\limits^2_0[/tex]
⇒ [tex]A=2[8(2)-\frac{2(2)^{3} }{3} ][/tex]
⇒ [tex]A=2[16-\frac{16}{3} ][/tex]
⇒ [tex]A=2[\frac{48-16}{3} ][/tex]
⇒ [tex]A=2[\frac{32}{3} ][/tex]
⇒ [tex]A=\frac{64}{3}[/tex]
⇒ [tex]A=21.33[/tex]
Hence we can conclude that the region enclosed by the given curve is integrated with respect to y and the area is 21.33 square units.
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identify all values of that make the equation true.
Please explain them as step by step !!
Thank you!!
Answers
Part a
[tex]\frac{2x+1}{x}=\frac{1}{x-2}\\\\(2x+1)(x-2)=x\\\\2x^2 -3x-2=x\\\\2x^2 - 4x-2=0\\\\x^2 - 2x-1=0\\\\x=\frac{2 \pm \sqrt{8}}{2}\\\\x=1 \pm \sqrt{2}[/tex]
Part C
[tex]\frac{x+3}{1-x}=\frac{x+1}{x+2}\\\\(x+3)(x+2)=(1-x)(x+1)\\\\x^2 +5x+6=-x^2 +1\\\\2x^2 + 5x+5=0\\\\x=\frac{-5 \pm \sqrt{-15}}{4}\\\\x=\frac{-5 \pm i\sqrt{15}}{4}[/tex]
What fraction of a clockwise revolution does the hour hand of a clock turn through, when it goes from a) 5 to 11? b)2 to 8? c)10 to 1?
Answers
Answer: 1/2, 1/2, 1/4
Step-by-step explanation:
To find the fraction that the hour hand turns of a clockwise revolution, we have to find how long it is going then divide by 12
Ex. a) 11 - 5 = 6, 6/12 = 1/2 so the hour hand turns by 1/2 of a clockwise revolution
b) 8 - 2 = 6, 6/12 = 1/2 so the hour hand turns by 1/2 of a clockwise revolution
c) For this, we have to convert 1 into 13 as 1 - 10 is a negative number
13 - 10 = 3, 3/12 = 1/4 so the hour hand turns by 1/4 of a clockwise revolution
The answers are :
a) 1/2
b) 1/2
c) 1/4
To find the fraction of a clockwise revolution, take the ratio between hours covered and hours covered in one revolution.
a)
Hours covered between 5 and 11 ⇒ 11 - 5 = 6Hours covered in 1 revolution ⇒ 126/12 = 1/2b)
Hours covered between 2 and 8 ⇒ 8 - 2 = 6Hours covered in 1 revolution ⇒ 126/12 = 1/2c)
Hours covered between 10 and 1 ⇒ 13 - 10 = 3 (∴ 12 + 1 = 13)Hours covered in 1 revolution ⇒ 123/12 = 1/4Simplify
sin0 over
1-sin²0
Answers
Step-by-step explanation:
sin(0) = 0.
sin^2(0) = sin(0) × sin(0) = 0 × 0 = 0.
∴ sin(0) / 1 - sin^2(0) = 0 / 1 - 0
= 0 / 1
= 0.
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:
12.50h = 2500.75
Step-by-step explanation:
He earned $12.50 for 1 hour of work.
For 2 hours, he earned $12.50 × 2.
For 3 hours, he earned $12.50 × 3.
For h hours, he earned $12.50 × h which can be simply written as 12.50h
He earned altogether $2500.75, so 12.50h must equal 2500.75.
Answer: B 12.50h = 2500.75
Answer:
[tex]12.50 h = 2500.75[/tex]
Step-by-step explanation:
We know from the question that the student earned $12.50 per hour.
Using this information, we can say that if the student worked for h hours, they would make a total of 12.50 × h dollars.
We also know that the total money they earned is $2500.75.
∴ Therefore, we can set up the following equation:
12.50 x h = 2500.75
From here, if we want to, we can find the number of hours worked by simply making h the subject of the equation and evaluating:
[tex]h=\frac{2500.75}{12.50}[/tex]
= 200.6 Hours
35 POINTS HELP PLS!!!!!!
Answers
The factors illustrate they the sides of the rectangles are:
(x - 1)(x - 2) (2x - 3)(x + 2)How to get the factors?The first equation given is x² - 3x + 2.
= x² - 3x + 2.
= x² - x - 2x + 2
= x(x - 1) - 2(x - 1)
= (x - 1)(x - 2)
Therefore, the side lengths are (x - 1) and (x - 2).
In the rectangular figure, the length and width should be the expressions above.
The second equation given is 2x² + x - 6.
= 2x² + x - 6.
= 2x² + 4x - 3x - 6
= 2x(x + 2) - 3(x + 2)
= (2x - 3)(x + 2)
Therefore, the side lengths are (2x - 3) and (x + 2).
In the rectangular figure, the length and width should be the expressions above.
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A study of 860 u.s. atms (automated teller machines) found that the average surcharge for withdrawals from a competing bank was $1.15. (source: public interest research groups) what is known about the atms from a competing bank?
Answers
The statement is false as the sample is a few ATMs of the total ATMs in US.
What do you mean by ATM?An automated teller machine, or ATM, is a customized computer that makes it simple for bank account holders to manage their money. One can use it to print a statement of account activity or transactions, check account balances, withdraw or deposit money, and even buy stamps.Customers can carry out simple financial transactions using an automated teller machine (ATM), an electronic banking facility, without the assistance of a branch person or teller.With no assistance from the bank, withdraw money whenever you need to. The consumers' privacy is guaranteed. Rupee withdrawals are quicker than bank withdrawals and do not require standing in long lines. Since no bank employees are involved in the transaction, maintenance costs are lower.Two primary types of automated teller machines (ATMs) exist. One is a basic, straightforward device that lets you check your balance, change your PIN, obtain small statements, and get account notifications. The more sophisticated units offer possibilities for a line of credit and bill payment and cash or check deposits.The sample is only 860 ATMs and not total ATMs in US thus, a sample of 860 ATMs have taken and conducted the survey.
Thus, the statement is false as the sample is a few ATMs of the total ATMs in US.
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The expression above can also be written in the form . For this expression, a = , b = , and c = . b 3 and 5/5
Answers
For this expression, the variables are equal to:
a = 15b = 7c = 4What is an expression?An expression is a mathematical equation which shows the relationship existing between two or more numerical quantities or variables.
Given the following expression:
[tex]\sqrt[4]{15^{7} }[/tex]
From the law of indices, we have:
[tex]\sqrt[c]{a^{b} } =a^{\frac{b}{c} } \\\\\sqrt[4]{15^{7} } =15^{\frac{7}{4} }[/tex]
For this expression, the variables are:
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Answer: A = 15, B = 7, C = 4, I got it right
:)
If the lengths of the legs of a right triangle are 3 and 10−−√, what is the length of the hypotenuse?
Answers
The required length of the hypotenuse of the triangle is √19.
What is a right triangle?A right triangle, sometimes known as a right-angled triangle, or more formally an orthogonal triangle, formerly known as a rectangle triangle, is a triangle with one right angle or two perpendicular sides.To find the required length of the hypotenuse of the triangle:
Legs in the right triangle refer to the perpendicular and base.
Hypotenuse:
[tex]= \sqrt{perpendicular^{2}+base^{2} } \\= \sqrt{3^{2}+\sqrt{10^{2} } } \\=\sqrt{19}[/tex]
Therefore, the required length of the hypotenuse of the triangle is √19.
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pls help questions 5-7
Answers
Answer: 0.032, 18, 4224, 7.58
Step-by-step explanation:
5. 5 L = 5000 mL = 5000 [tex]cm^{3}[/tex]
5000/(6*6*6) = 23 r 32 so 5 L of water can fill up 23 cubic tanks length 6 cm and is left with 0.032 L
6. There is (13 - 11) x 20 x 10 = 400 [tex]cm^{3}[/tex] left unoccupied in the box
400/23 = 17.4 so it takes 18 balls to overflow the water
7. 1 mL = 1 [tex]cm^{3}[/tex]
(a) 22 x 12 x 16 = 4224 [tex]cm^{3}[/tex] = 4224 mL
(b) 2 L = 2000 mL = 2000 [tex]cm^{3}[/tex]
22 x 12 = 264
2000/264 = 7.58 cm
The functionf (x)is shown in the graph.
What is the equation for f (x)?
Enter your answer in the box.
f(x) =
Answers
[tex]f(x)=-\frac{3}{4}x-3[/tex]
What is a graph?A graph is a diagram that depicts the connections between two or more objects. A pie chart is a type of graph. 5. A mathematical function or equation is shown by a curve or line, usually represented using a Cartesian coordinate system.
The equation for f (x):
[tex]y=f(x)=mx+b[/tex]
The slope of the line is m.
The point of intersection of the line with the y-axis is b.
To find the slope first by the following formula:
[tex]=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
Two points of the line: [tex](x_{1} ,y_{1})=(x_{2},y_{2} )[/tex]
[tex](x_{1} ,y_{1})=(-4,0)[/tex]
[tex](x_{2} ,y_{2})=(0,-3)[/tex]
Substituting:
[tex]m=\frac{-3-0}{0-(-4)}[/tex]
[tex]m=-\frac{3}{4}[/tex]
Find the y-intercept Looking at the graph, we find the line intercepts the y-axis at y=-3.
Therefore, b=-3.
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After finding the intercept form of the graph of the given straight line, it can be obtained that [tex]f(x)=-\frac{4}{5}x-3[/tex].
How to find the equation of a straight line in intercept form from its graph?If the graph of a straight line cuts the x-axis at the point [tex](a,0)[/tex] and the y-axis at the point [tex](0,b)[/tex], then the equation of the straight line in intercept form will be [tex]\frac{x}{a}+\frac{y}{b}=1[/tex].
Here, in the given figure, we can see that the graph of [tex]y=f(x)[/tex] is a straight line.
From the graph, we can see that the straight line cuts the x-axis at the point [tex](-3\frac{3}{4},0)=(-\frac{15}{4},0)[/tex] and cuts the y-axis at the point [tex](0,-3)[/tex].
So, here, [tex]a=-\frac{15}{4}[/tex] and [tex]b=-3[/tex].
Hence, the equation of the straight line in intercept form is
[tex]\frac{x}{a}+\frac{y}{b}=1\\\frac{x}{-\frac{15}{4}}+\frac{y}{-3}=1\\\frac{y}{-3}=1+\frac{4x}{15}\\y=-\frac{4}{5}x-3[/tex]
Therefore, finding the intercept form of the given straight line, we obtain that [tex]f(x)=-\frac{4}{5}x-3[/tex].
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The area of a circle is 25л ft². What is the circumference, in feet? Express your answer in terms of π.
Answers
Answer:
C = 10π ft
Step-by-step explanation:
the circumference (C) of a circle is calculated as
C = 2πr ( r is the radius )
to find r use the area formula, that is
A = πr² = 25π ( divide both sides by π )
r² = 25 ( take square root of both sides )
r = [tex]\sqrt{25}[/tex] = 5
then
C = 2π × 5 = 10π ft
Identify each expression and value that represents the area under the curve y = x2 4 on the interval [-3, 2].
Answers
The area under the curve y = x² + 4 on the interval [-3, 2] exists [tex]$\frac{95}{3}[/tex].
What is the area under the curve y = x² + 4 on the interval [-3, 2]?The area under a curve between two points exists seen by accomplishing a definite integral between the two points. To estimate the area under the curve y = f(x) between x = a and x = b, integrate y = f(x) between the limits of a and b. This area can be estimated by utilizing integration with given limits.
The equation that represents the curve exists
y = x² + 4
To estimate the area under the curve in the interval of [-3, 2] will be
[tex]$&\text { area }=\int_{-3}^{2} x^{2}+4 d x \\[/tex]
[tex]$&=\left[\frac{x^{3}}{3}+4 x\right]_{-3}^{2} \\[/tex]
[tex]$&=\frac{1}{3}\left[x^{3}\right]_{-3}^{2}+4[x]_{-}^{2} _{3} \\[/tex]
simplifying the above equation, we get
[tex]$&=\frac{1}{3}\left[(2)^{3}(-3)^{3}\right]+4[(2)-(-3)] \\[/tex]
[tex]$&=\frac{1}{3}[8+27]+4[2+3] \\[/tex]
[tex]$&=\frac{1}{3}(35)+20 \\[/tex]
[tex]$&=\left(\frac{95}{3}\right)[/tex]
Therefore, the area under the curve y = x² + 4 on the interval [-3, 2] exists [tex]$\frac{95}{3}[/tex].
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1. Sandy has 1.45 L of soft drink in a bottle. She pours the soft drink into glasses with capacity of 0.32 L each. At least how many glasses must she use in order to pour all soft drink out of the bottle?
2. A baker has 5.6 kg of flour. Later he buys 2.5 kg of flour. If he needs 0.48 kg of flour to make a dough, then how many doughs can he make with the flour? How much flour remains (in kg)?
Answers
Step-by-step explanation:
1.
how many glasses of 0.32 liter can she fill ?
that means, how often does 0.32 fit into 1.45 ?
that is solved by division :
1.45 / 0.32 = 4.53125
so, she will need at least 5 glasses to completely empty the bottle. the 5th glass will be filled only partly, but that does not matter in that regard.
2.
he has 5.6 kg and adds 2.5 kg. that is 5.6 + 2.5 = 8.1 kg.
1 dough (that means 1 portion of dough as described by his recipe) uses 0.48 kg flour.
how many doughs can he make
so, again, how often does 0.48 fit into 8.1 ?
8.1 / 0.48 = 16.875
he can therefore make 16 full portions of dough. he does not have enough flour for a full 17th.
so, he uses
16×0.48 = 7.68 kg of flour for the 16 doughs.
and he has
8.1 - 7.68 = 0.42 kg of flour left.
In order for you to use the goodnees-of-fit test, the test of independence, or the test of homogeneity, the expected frequencies for each cell needs to be at least:____.
Answers
The condition for the expected value in the goodness of fit test is that the expected frequency is at least 5.
According to the statement
we have to find the condition of the expected values in the case of testing of goodness-of-fit test.
So, For this purpose we know that the
The goodness of fit test is of a statistical model describes how well it fits a set of observations. Measures of goodness of fit typically summarize the discrepancy between observed values and the values expected.
So, The main condition of the expected value for the goodness of fit test is
For each category, the expected frequency is at least 5.
Without this condition the test is not possible, so overall this the main condition related the goodness of fit test.
So, The condition for the expected value in the goodness of fit test is that the expected frequency is at least 5.
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How do I do this!!!!!
Answers
The expected values of the binomial distribution are given as follows:
1. 214.
2. 21.
3. 31.
What is the binomial probability distribution?It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
For item 1, the parameters are:
p = 3/7, n = 500.
Hence the expected value is:
E(X) = np = 500 x 3/7 = 1500/7 = 214.
For item 2, the parameters are:
p = 0.083, n = 250.
Hence the expected value is:
E(X) = np = 250 x 0.083 = 21.
For item 3, the parameters are:
p = 1/13, n = 400.
Hence the expected value is:
E(X) = np = 400 x 1/13 = 31.
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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
NEED HELP PLEASE ASAP!!!
Find the quotient of 213.21 and 15.8. Round your answer to the nearest tenth.
13.4
1.4
1.3
13.5
Answers
Answer:
13.5
Step-by-step explanation:
213.21/15.8 ---> ((213.21)100)/((15.8)100)
21321/1580 = 13 R 781.
781/1580 = 0.49~~~
We only need to be concerned about the tenth and hundredth place digits.
The decimal tells us that it rounds up from 4, so it's 5.
Thus, the answers 13+0.5, which is 13.5
Please help me with alg 2 questions
Answers
6) The solution of the system of linear equations is (x, y, z) = (2, 5, 3).
11) The average depth of the water is 0.35 kilometers.
12) The dollar value of the deposit after 10 years is $ 1205.85.
13) Three horses need a consumption of 930 pounds of hay for the month of July.
14) The circle with equation x² + y² + 8 · y + 8 · y + 28 = 0 has a radius of 2.
15) Anna has a mean time of 7.39 minutes.
How to analyze algebraic equations
In this question we must analyze and resolve on algebraic equations such as linear equations or conic sections. 6) We must use algebra properties to solve on the system of linear equations. First, we clear x in the first equation:
x = y - z
Then, we apply it in the two remaining equations:
- 5 · (y - z) + 3 · y - 2 · z = - 1
2 · (y - z) - y + 4 · z = 11
- 2 · y + 3 · z = - 1
y + 2 · z = 11
Second, we clear y in the second expression and we substitute into the first expression:
y = 11 - 2 · z
- 2 · (11 - 2 · z) + 3 · z = -1
- 22 + 7 · z = - 1
z = 3
y = 5
x = 2
The solution of the system of linear equations is (x, y, z) = (2, 5, 3).
11) There is a function of the speed of a tsunami in terms of the average depth of the water. The former variable is known and we need to clear d in the formula to find the missing value:
145 = 356 · √d
d = (145 / 356)²
d = 0.345 km
The average depth of the water is 0.35 kilometers.
12) The compound interest model is shown below:
C' = C · (1 + r / 100)ˣ (1)
Where:
C' - Initial capitalC - Current capitalr - Interest ratex - Number of periodsIf we know that C = 500, r = 4.5 and x = 20, then the resulting capital after 10 years is:
C' = 500 · (1 + 4.5 / 100)²⁰
C' = 1205.85
The dollar value of the deposit after 10 years is $ 1205.85.
13) The situations indicates a direct variation as the amount of hay is directly proportional to the number of days. Hence, we have the following linear model for the hay consumption of one horse:
y = m · x (2)
y = 10 · x
Where:
m - Hay consumption rate, in pounds per day.x - Time, in days.y - Consumed hay, in pounds.The total consumption of three horses during July is equal to the product of the number of horses and consumed hay by one horse during one month:
y' = 3 · [10 · (31)]
y' = 930
Three horses need a consumption of 930 pounds of hay for the month of July.
14) There is the general equation of the circumference and we must transform it into its vertex form to find information about the radius. This can done by algebraic procedures:
x² + y² + 8 · y + 8 · y + 28 = 0
(x² + 8 · y) + (y² + 8 · y) = - 28
(x² + 8 · y + 16) + (y² + 8 · y + 16) = 4
(x + 4)² + (y + 4)² = 2²
The circle with equation x² + y² + 8 · y + 8 · y + 28 = 0 has a radius of 2.
15) We need to sum all the times described in the table and divide it by the number of data to find the mean time for a 1-kilometer race:
x = (7.25 + 7.40 + 7.20 + 7.10 + 8.00 + 8.10 + 6.75 + 7.35 + 7.25 + 7.45) / 10
x = 7.39
Anna has a mean time of 7.39 minutes.
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10 points!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
23
Step-by-step explanation:
30 POINTS HELP PLS!!!!!!
Answers
The lengths of the sides of the rectangles are;
a. (2•x + 3) and (x + 2)
b. (6•x + 2) and (x + 1)
c. (x + (2 + √3)) and (x + (2-√3))
Which method can be used to find the side lengths of the rectangles?The given functions are presented as follows;
a. 2•x² + 7•x + 6
By factoring of the above function we have;
2•x² + 7•x + 6 = (2•x + 3) × (x + 2)
The lengths of the sides of the rectangle are therefore;
(2•x + 3) and (x + 2)b. 6•x² + 7•x + 2
The above function can be factored as follows;
6•x² + 7•x + 2 = (6•x + 2) × (x + 1)
The rectangle side lengths are;
(6•x + 2) and (x + 1)c. x² + 4•x + 1
Using the quadratic formula, the above function can be factored to give;
x² + 4•x + 1 = (x + (2 + √3)) × (x + (2-√3))
The sides of the rectangle are therefore;
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Fractions equivalent to 2/100
Answers
Equivalent means the same as
So
1/50 is equivalent
Answer:
1/50
Steps:
Recall 2 can divide 100
therefore
2/100 = 1/50
When navigating the maze, the robot will only need to go north, south, east, and west. it can be useful to use the complex plane to represent these directions. when using the complex plane this way, we use numbers such that their magnitude is equal to 1. if we let the value i represent the robot facing due north, what values represent the robot facing east, south, and west?
Answers
The values represent the robot facing east, south, and west are 1, -i, -1.
What was the meaning of puzzle?To offer or represent to (someone) a problem difficult to solve or a situation difficult to resolve : challenge mentally also : to exert (oneself, one's mind, etc.) over such a problem or situation they puzzled their wits to find a solution.
given that,
The robot can only go north, south, east and west.
Assuming that the north-south axis corresponds to the y-axis and west-east axis corresponds to x-axis.
Now,
It is provided that the ' i ' represent that robot is facing north.
So, if the robot turns and faces south, it can be seen that he will be facing in the opposite direction of ' i '.
Since, the values on y-axis are negative in that direction.
Hence, South will be represented by ' - i ' .
Moreover, it is given that we use only the numbers whose magnitude is 1. As, west-east axis represents x-axis.
So, the value that represents East will be 1.
(as it is on the positive x-axis ).
Since, west is in the opposite direction of east.
So, West will be represented by -1.
Hence,The values represent the robot facing east, south, and west are 1, -i, -1.
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Algebra 2 how do you find the frequency?
Answers
The frequency of the periodic function is given by: 0.0796.
What are the period and the frequency of a function?The period of a function is given by the distance between it's repetitions.The frequency of a function is found dividing one by the period.From the graph, we have that the period is of 4pi hours, hence the frequency is:
f = 1/4pi = 0.0796.
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HELP PLEASE. Hector built a tent shaped like a rectangular pyramid. The volume of the tent is 56 cubic ft. The area of the base of the tent is 24 square ft. What is the hieght of Hectors tent in feet?
Answers
The height of the rectangular pyramid is 7 ft.
How to get the height of the rectangular pyramid?
First, we know that the volume of a rectangular pyramid is given by:
[tex]V = B*H/3[/tex]
Where B is the base, H is the height.
First, we know that the volume is 56 ft³, and the base is 24ft², then we can replace these two in the volume equation to get:
[tex]56 ft^3 = 24ft^2*H/3[/tex]
Solving that for H, we get:
[tex]H = 3*(56ft^3/24ft^2) = 7ft[/tex]
The height of the rectangular pyramid is 7 ft.
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