The length of a rectangle is four times its width. If the perimeter of the rectangle is 50 yd, find its area

Answer:

To find the x-intercept, simply plug in the value y = 0 into your equation and then solve for x. To find the y-intercept, plug in x = 0 and solve for y.

Answer:

3 seconds

Step-by-step explanation:

0 = -16x² + 144

-144 = -16x²

9 = x²

3 = x

Answer:

Explained below.

Step-by-step explanation:

Let the random variable X represent the weights​ (lb) of plastic discarded by households.

It is provided that the mean weight is, [tex]\bar x=2.135\ \text{lb}[/tex] and the standard deviation of the weights is, [tex]s=2.316\ \text{lb}[/tex].

(a)

Compute the difference between the weight of 5.65 lb and the mean of the​ weights as follows:

[tex]d=5.65 - \bar x\\\\d=5.65-2.135\\\\d=3.515[/tex]

Thus, the difference is 3.515 lb.

(b)

Compute the number of standard deviations as follows:

[tex]\text{Number of Standard Deviation}=\frac{d}{s}=\frac{3.515}{2.316}=1.518[/tex]

Thus, the number of standard deviation is 1.518.

(c)

Compute the z-score for the weight 5.65 lb as follows:

[tex]z=\frac{a-\bar x}{s}=\frac{5.65-2.135}{2.316}=1.517703\approx 1.52[/tex]

Thus, the z-score is 1.52.

(d)

The z-score for the weight 5.65 lb is 1.52.

This  z-score lies in the range -2 and 2.

Thus, the weight of 5.65 lb​ is neither significantly low nor significantly​ high.

Answer:

(A) As x -> -inf, y->-inf, and as x->inf, y->inf.

Step-by-step explanation:

All polynomial, of odd degree have extremities must point in opposite directions (one each of + and - infinity)

All even degree polynomials have extremities in the same direction, i.e. both towards +inf, or both towards -inf.

Since this is a cubic, so the extremities must point in opposite directions, so options B and D cannot apply.

Next, when the leading coefficient, the coefficient of ther term of the highest degree, namely 5x^3, positive, the graph will approach +infinity in the positive direction (and approach -infinity in the negative direction).

This eliminates option (C), and we see that option (A) satisfies all conditions.

When the leading coefficient is negative, it works the other way round.

Answer:

As x goes to -∞ y goes to -∞

As x goes to ∞ y goes to ∞

Step-by-step explanation:

We need to look at the dominate term

5x^3

As x goes to -∞

y  goes to 5 ( -∞)^3 = -∞

As x goes to -∞ y goes to -∞

As x goes to ∞

y  goes to 5 ( ∞)^3 = ∞

As x goes to ∞ y goes to ∞

Answer:

x = -8 and x = 4

Step-by-step explanation:

given

f(x) = (x+8) (x - 4)

recall that at any point on the x-axis, y = 0 [i.e f(x) = 0]

hence to find where the graph crosses the x-axis, we simply substitue f(x) = 0 into the equation and solve for x

f(x) = (x+8) (x - 4)

0 = (x+8) (x - 4)

Hence

either,

(x+8) = 0 ----> x = -8  (first crossing point)

or

(x-4) = 0 ------> x = 4 (second crossing point)

Hence the graph crosses the x-axis at x = -8 and x = 4

Answer:

A (-8, 0) and (4, 0)

Answer:

The numbers are 27 and 30

Step-by-step explanation:

The two numbers are x and y

x+y = 57

x-y = 3

Add the two equations together to eliminate y

x+y = 57

x-y = 3

---------------

2x = 60

Divide by 2

2x/2 = 60/2

x = 30

x+y = 57

30 + y = 57

y = 57-30

y = 27

The numbers are 27 and 30

The sum of two numbers is 57, and the difference is 3.

Give each number a variable (as you do not know what they are): x , y

Set the equations:

"The sum of two numbers is 57": x + y = 57

"The(re) difference is 3": x - y = 3

Isolate one of the variables in the second equation. Add y to both sides:

x - y (+y) = 3 + y

x = 3 + y

Plug in "3 + y" for x in the first equation:

3 + y + y = 57

Simplify. First, combine like terms:

3 + (y + y) = 57

3 + 2y = 57

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS*.

*PEMDAS is the order of operation.

PEMDAS =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, subtract 3 from both sides:

2y + 3 = 57

2y + 3 (-3) = 57 (-3)

2y = 57 - 3

2y = 54

Next, divide 2 from both sides:

(2y)/2 = (54)/2

y = 54/2

y = 27

Plug in 27 for y in one of the equations:

x = 3 + y

x = 3 + (27)

x = 3 + 27

x = 30

x = 30 , y = 27 is your answer.

~

Check:

"The sum of two numbers is 57": x + y = 57

30 + 27 = 57

57 = 57 (True)

"The(re) difference is 3": x - y = 3

30 - 27 = 3

3 = 3 (True)

Answer:

dy/dx = 3/√1-(3x+1)²

Step-by-step exxplanation:

Given the inverse function y = sin^-1(3x+1), to find the derivative of the expression, we will use the chain rule as shown;

Let u = 3x+1 ...1

y = sin⁻¹u ...2

From equation 1, du/dx = 3

from equation 2;

Taking the sin of both sides;

siny = sin(sin⁻¹u)

siny = u

u = siny

du/dy = cosy

dy/du = 1/cosy

from trig identity, cos y = √1-sin²y

dy/du = 1/√1-sin²y

Ssince u = siny

dy/du = 1/√1-u²

According to chain rule, dy/dx = dy/dy*du/dx

dy/dx = 1/√1-u² * 3

dy/dx = 3/√1-u²

Substituting u = 3x+1 into the final equation, we will have;

dy/dx = 3/√1-(3x+1)²

Answer:

x = 50

Step-by-step explanation:

Since the triangle has 2 congruent sides then it is isosceles, thus the base angles are congruent, that is x and x

The sum of the angles in a triangle = 180°, thus

x + x + 80 = 180

2x + 80 = 180 ( subtract 80 from both sides )

2x = 100 ( divide both sides by 2 )

x = 50

Answer:

sec y=6/b         yw  

Step-by-step explanation:

Answer:

16Ft

Step-by-step explanation:

Well the following ration compares the sI’ve of a model car to a normal car,

1:30

We can make the following fractions,

[tex]\frac{1}{30} = \frac{6.3}{x}[/tex]

We cross multiply.

[tex]x = 189[/tex]

To make this into inches we do,

189 / 12 = 15.75,

or 16 to the nearest foot.

Answer:

x=1

Step-by-step explanation:

1+1+2x+2x= 6

1+1=2

2x+2x=4x

2+4x=6

x=1

Answer:

61% i think

Step-by-step explanation:

if you have 39% and it 10 out of a 100 well you have a 39/100 and then n would be 61/100 so 61%

0.39  is the value of n for the video games on their smartphones. Thus option A is correct.

The mathematical discipline known as probability specializes in determining the possibility of an event occurring. Probability, which expresses the probability of a risk, is calculated by dividing the total possible combinations by the frequency of favorable events. Composite reliabilities vary from 0 to 1, with 1 representing certainty and 0 representing hesitation.

In a binomial distribution, p stands for the success probability. It refers to the likelihood that a certain number of experiments will result in favorable results. For all binomial attempts, the probability of winning stays constant.

This suggests that there will be a distribution of 39/100. The result after the calculation will be 0.39. Therefore, option A is the correct option.

Learn more about probability, Here:

https://brainly.com/question/11234923

#SPJ2

The question is incomplete, the complete question will be :

A survey found that  39 % of all gamers play video games on their smartphones. Ten frequent gamers are randomly selected. The random variable represents the number of frequent games who play video games on their smartphones. What is the value of n ?

A) 0.39

B) 0.10

C) 10

D) x

Answer:

Option B.

Step-by-step explanation:

We need to find the circle that has a central angle that measures 40°.

In all options, the center of circle is U. It means central angle must be on center, i.e., U.

In option A,the angle VXZ is at point X which is not the center. So, angle VXZ is not a central angle.

In option B,the angle VUZ is at point U which is the center. So, angle VUZ is a central angle with measure 40°.

In option C,the angle XZV is at point Z which is not the center. So, angle XZV is not a central angle.

In option D,the angle VXZ is at point X which is not the center. So, angle VXZ is not a central angle.

Therefore, the correct option is B.

Answer:

it is B

Step-by-step explanation:

We need to find the circle that has a central angle that measures 40°.

In all options, the center of circle is U. It means central angle must be on center, i.e., U.

In option A,the angle VXZ is at point X which is not the center. So, angle VXZ is not a central angle.

In option B,the angle VUZ is at point U which is the center. So, angle VUZ is a central angle with measure 40°.

In option C,the angle XZV is at point Z which is not the center. So, angle XZV is not a central angle.

In option D,the angle VXZ is at point X which is not the center. So, angle VXZ is not a central angle.

Therefore, the correct option is B.

Answer:

Option c: 0.0022; reject the null hypothesis

Step-by-step explanation:

Using a p value calculator, with a z score of 3.06 at 0.05 level of significance for a two tailed test, the p-value is 0.002213. This value is lower than 0.05 thus the result is significant we will reject the null hypothesis.

To calculate the p value by hand, we do this

The test statistic is 3.06. Since the test possesses a not equal to alternative, we look up the test statistic on the z table find the corresponding probability. Thus we have 3.06 - on the z table - 0.99889

Then we subtract from 1 and double it

1-0.99889 = 0.00111 x 2 = 0.0022.

Answer:

Null - p= 71%

Alternative - p =/ 71%

Step-by-step explanation:

The null hypothesis is always the default statement in an experiment. While the alternative hypothesis is always tested against the null hypothesis.

Null hypothesis: 71% of their readers own a personal computer- p = 71%

Alternative hypothesis: Not 71% of their readers own a personal computer - p =/ 71%

Answer:

9.9225π feet.

Step-by-step explanation:

The area of a circle is pi * r^2.

The diameter is 2r. 2r = 6.3; r = 6.3 / 2 = 3.15.

pi * 3.15^2 = pi * 9.9225

9.9225π feet is your answer.

Hope this helps!

Answer:

Given that

diameter of circle=6.3ft=192.02cm

radius of circle=d/2=192.02/2=96.01cm

So, area of circle=πr2

= π×(96.01)^2

= 9217.92π cm^2

hope it helps u....

plz mark as brainliest...

Answer:

Answer E

Step-by-step explanation:

If you think about it, the origin is just (0,0). Now, think which one is the closest to that. (0,1/2), or answer E, should be your assumption.

Answer:

a) Central area = 0.95, df = 10 t = (-2.228, 2.228)

(b) Central area = 0.95, df = 20 t= (-2.086, 2.086)

(c) Central area = 0.99, df = 20 t= ( -2.845, 2.845)

(d) Central area = 0.99, df = 60 t= (-2.660, 2.660)

(e) Upper-tail area = 0.01, df = 30 t= 2.457

(f) Lower-tail area = 0.025, df = 5 t= -2.571

Step-by-step explanation:

In this question, we are to determine the t critical value that will capture the t-curve area in the cases below;

We can use the t-table for this by using the appropriate confidence interval with the corresponding degree of freedom.

The following are the answers obtained from the table;

a) Central area = 0.95, df = 10 t = (-2.228, 2.228)

(b) Central area = 0.95, df = 20 t= (-2.086, 2.086)

(c) Central area = 0.99, df = 20 t= ( -2.845, 2.845)

(d) Central area = 0.99, df = 60 t= (-2.660, 2.660)

(e) Upper-tail area = 0.01, df = 30 t= 2.457

(f) Lower-tail area = 0.025, df = 5 t= -2.571

He has 69 lb of carrots left when he closes

Answer:

Ok, we have two words:

"Signature"

The letters are: "S I G N A T U R E"

9 different letters.

Now, we can make only words with 9 letters, so we can think on 9 slots, and in each of those slots, we can input a letter of those 9.

For the first slot, we have 9 options.

For the second slot, we have 8 options (because on is already taken)

For the second slot, we have 7 options and so on.

Now, the total number of combinations is equal to the product of the number of options in each selection:

C = 9*8*7*6*5*4*3*2*1 = 362,880.

Now, our second word is Restaurant.

The letters here are " R E S T A U N" such that R, T and A appear two times each, so we have a total of 10 letters and 7 unique letters.

So first we do the same as beffore, 10 slots and we start with 10 options.

The total number of combinations will be:

C = 10*9*8*7*6*5*4*3*2*1 = 3,628,800

A lot of combinations, but we are counting only unique words.

For example, as we have two R, we are counting two times the word:

Restaurant (because we could permutate only the two letters R and get the same word)

So we must divide by two for each letter repeated.

we have 3 letters repeated, we divide 3 times by 2.

C = ( 3,628,800)/(2*2*2) = 453,600

Answer:

Ground distance = 10396 feet  (nearest foot)

Step-by-step explanation:

The horizontal distance given the vertical is governed by the tangent of the angle of depression.

V/H = tan(angle of depression)

Hence

H = V / tan(angle of depression)

= 2400 / tan(13)

= 10395.5 feet

Answer:

Step-by-step explanation:

(4x³ - 5x² + 3x ) - 4(5x² - 7x³ - 8x)

Remove the brackets and simplify.

We have

4x³ - 5x² + 3x - 20x² + 28x³ + 32x

Group like terms and simplify

That's

4x³ + 28x³ - 5x² - 20x² + 3x + 32x

We have the final answer as

- 3 - ( 4x + 3y - 2z ) - 4 + 2( 5x - 4y + 6z)

Remove the brackets and simplify

That's

- 3 - 4x - 3y + 2z - 4 + 10x - 8y + 12z

Group like terms and simplify

- 4x + 10x - 3y - 8y + 2z + 12z - 3 - 4

We have the final answer as

Hope this helps you

Answer:

6.4 miles

Step-by-step explanation:

Use pythogoras theorem here:

? ²= 5² + 4² =

?² = 25 + 16=

?²= 41

?= √41

? = 6.4

You don't need to thank me, I hope this helped

Answer:

Let d represent the distance from home to school

To find d we use the formula for Pythagoras theorem

That's

a² = b² + c²

Where a is the hypotenuse or the longest side

From the question

d is the hypotenuse

So we have

d² = 4² + 5²

d² = 16 + 25

d² = 41

Hope this helps you

Answer:

No

Step-by-step explanation:

In exponential behavior each number increases by some some power in respect of previous number.

example

2,4,8,16

which is similar as 2 , 2^2,2^3,2^4

here it can be represented as y = 2^x

here we see that each number increases by power of 2, hence it shows exponential behavior.

____________________________________________

In the problem

(1,1), (2,2) ,(3,3), (4,4)

23 see that each number increases by one unit in respect of previous number

and also x is same as y

thus, it can be represented as

y = x which is linear behavior

hence , the given data set shows linear behavior rather than exponential behavior.

Answer:

Categorical independent variables are ___FACTORS__

The independent variables that are categorial should be factors.

In terms of mathematics, factor represents the no of algebraic expression where it split the other number that contains the zero remainder. As the factor of 12 should be 3 and 4. So based on this, the independent variables that are categorical should be considered as the factors.

Therefore, we can conclude that The independent variables that are categorial should be factors.

Learn more about variable here: https://brainly.com/question/18953210

Answer:

  216

Step-by-step explanation:

  y = ±√36 = ±6

  y³ = (±6)³ = ±216

The largest of these values is 216, the greatest possible value of y.

Answer:

y = -0.85 + 0.09x; $49.82

Step-by-step explanation:

1. Calculate Σx, Σy, Σxy, and Σx²  

The calculation is tedious but not difficult.

[tex]\begin{array}{rrrr}\mathbf{x} & \mathbf{y} & \mathbf{xy} & \mathbf{x^{2}}\\526 & 52.08 & 27394.08 & 276676\\625& 59.00 & 36875.00 &390625\\589 & 56.12 & 33054.68 & 346921\\409 & 25.72 & 10519.48 & 167281\\489 & 34.12& 16684.68 & 293121\\500 & 53.00 & 26500.00 &250000\\906 & 76.48 & 71102.88 & 820836\\251 &26.08 & 6546.08 & 63001\\595 & 50.60 & 30107.00 & 354025\\719 & 68.52 & 49265.88 & 516961\\\mathbf{5609} & \mathbf{503.72} &\mathbf{308049.76} & \mathbf{3425447}\\\end{array}[/tex]

2. Calculate the coefficients in the regression equation

[tex]a = \dfrac{\sum y \sum x^{2} - \sum x \sum xy}{n\sum x^{2}- \left (\sum x\right )^{2}} = \dfrac{503.7 \times 3425447 - 5609 \times 308049.76}{10 \times 3425447- 5609^{2}}\\\\= \dfrac{1725466163 - 1727851103.84}{34254470 - 31460881} = -\dfrac{2384941}{2793589}= \mathbf{-0.8537}[/tex]

[tex]b = \dfrac{n\sumx y - \sum x \sumxy}{n\sum x^{2}- \left (\sum x\right )^{2}} = \dfrac{3080498 - 2825365.48}{2793589} = \dfrac{255132}{2793589} = \mathbf{0.09133}[/tex]

To two decimal places, the regression equation is

y = -0.85 + 0.09x

3. Prediction

If x = 563,

y = -0.85 + 0.09x = -0.85 + 0.09 × 563 = -0.85  + 50.67 = $49.82

(If we don't  round the regression equation to two decimal places, the predicted value is $50.56.)

Answer:

Hope this is correct

HAVE A GOOD DAY!

Answer:

It is a negative correlation

Step-by-step explanation:

As the x value increases the y value decreases. This causes it to be a negative.