Work out the size of angle x.Give reasons for your answer .

Answer:14

Step-by-step explanation: so if you add 21 and 264 and 20 u would get 14 hehehehhehehe im da best your not :)

Answer:  3/5 inches

Step-by-step explanation:

l= 5w+7

A = wl

w(5w+7) = 6

5w²+7w = 6

5w²+7w -6 = 0

5w²+10w-3w-6=0

5w(w+2)-3(w+2)=0

(5w-3)(w+2)=0

5w-3=0            w+2=0

   5w=3                w=-2in

     w=3/5in

width cannot be negative, so the width is 3/5 inches.

Answer:

Brooklyn would get paid 16.30 hourly. So she will have to work 15 hours the next week to earn 244.50.

Step-by-step explanation:

Divide 179.30 by 11 and you would get 16.30 which is her hourly wage. Then you divide 244.50 by 16.30 to see how many hours she would have to work to earn 244.50.

Answer:

15 Hours

Step-by-step explanation:

179.30 / 11 = $16.3 an hour

244.5 / 16.3 = 15 hours

Dilation of g(x) = 5(x) is  -(x), 5x,  (x-5), x-5

Given,

g(x) = 5(x)

We have to find the dilation ;

Dilation;

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size.

Here,

example -(x)

-multiplication of any number other than 1=dilation

example 5x

-addition/subtraction inside the function=horizontal translation

Example (x-5)

-addition/subtraction outside the function=vertical translation

Example x-5

Learn more about dilation here;

https://brainly.com/question/18289829

#SPJ1

Answer:

21°

Step-by-step explanation:

A line is 180 degrees.

Subtract 159 from 180 and you get the answer.

Answer:

yes

Step-by-step explanation:

Option (D), the last option is the correct statement, If heights in inches of 200 graduating seniors were summarized in the frequency table;

The median height is greater than or equal to 60 inches but less than 66 inches.

The median is the number value that separates the lower and upper values to halves. The median height is determined by arranging all the given heights in order either from the smallest to highest or from highest to smallest without skipping any measurement of the heights.

After arranging all the heights in order, the median height is usually at the middle.

The reason as to why the median height is greater than or equal to 60 inches but less than 66 inches is because the middle height should not be same as the largest height of 66 inches. It is possible to have multiple 60 inch heights from the 200 seniors. It is also possible to have multiple 66 inch of heights from the 200 seniors.

To learn more about median, use the link below:

brainly.com/question/28060453

#SPJ4

Answer:

The correct option is;

69 cm

Step-by-step explanation:

The z-score, or standard score is a measure of how far a data is from the mean

The z-score, is given by the relation;

\(z = \dfrac{x- \mu}{\sigma}\)

Z = Standard score

x = Value observed

μ = The mean height of the plants = 52.5 cm

σ = Standard deviation = 7.2 cm

Given that the z-score = 2.25, we have;

\(2.25 = \dfrac{x- 52.5}{7.2}\)

Therefore, x = 7.2 × 2.25 + 52.5 = 68.7 cm ≈ 69 cm

Therefore, the minimum required height for this type of plant to be displayed in the main lobby is 69 cm.

The system of inequality of the situation is y = 2x and x + y ≥ 45 and the possible number of candy bars Sierra sold are 15, 16 and 17

From the question, we have the following parameters that can be used in our computation:

Represent Sierra with x and Breanna with x

Based on the readings from the question, we have the following inequalities

y = 2x

x + y ≥ 45

Substitute y = 2x in x + y ≥ 45

So, we have

x + 2x ≥ 45

Evaluate

3x ≥ 45

Divide by 3

x ≥ 15

This means that the number of candy bars Sierra sold are at least 15

The possible numbers are 15, 16 and 17

Read more about inequality at

https://brainly.com/question/25275758

#SPJ1

Answer:

Step-by-step explanation:

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

The quotient for the given polynomial is x + 1.

The remainder for the given polynomial is 2x + 3.

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

Divide using polynomial long division.

(x³ + x² + x + 2) / (x² - 1)

This can be written as,

x² - 1 ) x³ + x² + x + 2 ( x + 1

          x³ - x      

      (-)     (+)                

              x² + 2x

              x² -  1        

          (-)    (+)                                      

                 2x + 3

Thus,

The quotient for the given polynomial is x + 1.

The remainder for the given polynomial is 2x + 3.

Learn more about polynomials here:

https://brainly.com/question/2284746

#SPJ2

Answer:

x=10/3

Step-by-step explanation:

We would need a minimum of 8 customer service representatives to achieve an average waiting time of 2 minutes.

To determine the minimum number of customer service representatives needed to achieve an average waiting time of 2 minutes, we can use the M/M/1 queuing model formula:

where L is the average number of customers waiting in the queue, λ is the arrival rate (calls per minute), and W is the average time a customer spends waiting in the queue.

First, we need to convert the arrival rate from every 7 minutes to arrivals per minute:

Next, we need to find the service rate, which is the reciprocal of the service time:

The utilization factor (ρ) is calculated as the ratio of arrival rate to service rate:

Using Little's Law, we can calculate the average number of customers in the system:

This negative value implies that the system is unstable and would result in an infinite queue. Therefore, we need to increase the number of customer service representatives to reduce the average waiting time.

Assuming we want to achieve an average waiting time of 2 minutes, we can rearrange the formula to solve for the minimum number of customer service representatives (n):

n = (ρ² + ρ) / (2 * (1 - ρ) * (1 - 2 * ρ * \(e^{(-p/2)}\)))

n ≈ 7.89

Therefore, we would need a minimum of 8 customer service representatives to achieve an average waiting time of 2 minutes.

Learn more about Average Waiting Time

https://brainly.com/question/28036927

#SPJ4

Answer:

Domain is all real numbers if they want specifics ig you could say

{-4,-3, 0, 2, 3}

Step-by-step explanation:

Answer:

{-4,-3,-2,-1, 0, 1, 2, 3} <--assuming we are only using whole numbers

{-4,-3,0,2,3}  <-- If your only using the points given

Step-by-step explanation:

Domain is the x values

Range is the y values

3 is the farthest/biggest x value

-4 is the least/smallest x value

Therefore the domain is {-4,3}

But since the instructions say "write the numbers in the domain," assuming we are using only whole numbers, the answer is {-4,-3,-2,-1, 0, 1, 2, 3}.

BUT

{-4,-3,0,2,3} is the answer if you only are allowed to use the x values of the given points.

Answer:

y = 4 x + 24 i think thats the answer if not im sorry

Step-by-step explanation:

A triangle with two congruent sides is always a 45-45-90 triangle. The two congruent sides tell us that the two non-right angles are also congruent, and a little quick math tells us that they each equal 45 degrees.

This shows that the right triangle is a 45-45-90 triangle rather than just any right triangle. This is essential because any triangle with sides of 45, 45, and 90 follows the same ratio.

A particular kind of right triangle with angles of 45, 45, and 90 degrees is known as a 45-45-90 triangle. Given that it has two congruent sides, it is additionally referred to as an isosceles triangle.

When the two legs of an isosceles right triangle are congruent to one another and the non-right angles are both 45 degrees, the triangle is known as a 45-45-90 triangle. The Pythagorean theorem can frequently be used to locate the missing legs or hypotenuse of the 45-45-90 triangle.

To learn more about the 45-45-90 triangle,

https://brainly.com/question/26796196

https://brainly.com/question/30595579

Answer:

y=3x +5

Step-by-step explanation:

The dog's running speed of 5 km/hr can be converted to approximately 3.125 mi/hr by multiplying it by the conversion factor of 1 mi/1.6 km. Rounding to the nearest thousandth, the dog can run at about 3.125 mi/hr.

To convert the dog's running speed from kilometers per hour (km/hr) to miles per hour (mi/hr), we need to use the conversion factor of 1.6 km = 1 mi.First, we can convert the dog's speed from km/hr to mi/hr by multiplying it by the conversion factor: 5 km/hr * (1 mi/1.6 km) = 3.125 mi/hr.

However, we need to round the answer to the nearest thousandth (three decimal places). Since the digit after the thousandth place is 5, we round up the thousandth place to obtain the final answer.

Therefore, the dog can run at approximately 3.125 mi/hr.

To learn more about factor click here

brainly.com/question/26923098

#SPJ11

a. To compute the margin of error at a 95% confidence level, we need to calculate the standard error first. The formula for the standard error is: SE = (standard deviation) / sqrt(sample size)

First, we calculate the sample mean:

Sample mean = (120g + 122g + 119g + 112g + 123g + 121g + 118g + 115g + 125g + 109g + 108g + 127g + 110g + 120g + 128g + 117g) / 16

Sample mean ≈ 117.81g

Next, we calculate the sample standard deviation:

Step 1: Find the differences between each observation and the sample mean:

120g - 117.81g = 2.19g

122g - 117.81g = 4.19g

119g - 117.81g = 1.19g

112g - 117.81g = -5.81g

123g - 117.81g = 5.19g

121g - 117.81g = 3.19g

118g - 117.81g = 0.19g

115g - 117.81g = -2.81g

125g - 117.81g = 7.19g

109g - 117.81g = -8.81g

108g - 117.81g = -9.81g

127g - 117.81g = 9.19g

110g - 117.81g = -7.81g

120g - 117.81g = 2.19g

128g - 117.81g = 10.19g

117g - 117.81g = -0.81g

Step 2: Square each difference:

\(2.19g^2\) ≈ \(4.7961g^2\)

\(4.19g^2\)≈ \(17.4761g^2\)

\(1.19g^2\) ≈ \(1.4161g^2\)

\((-5.81g)^2\) ≈ \(33.7161g^2\)

\(5.19g^2\) ≈ \(26.9561g^2\)

\(3.19g^2\) ≈ 1\(0.1761g^2\)

\(0.19g^2\) ≈ \(0.0361g^2\)

\((-2.81g)^2\) ≈ \(7.8961g^2\)

\(7.19g^2\) ≈ \(51.8561g^2\)

\((-8.81g)^2\)≈ \(77.6161g^2\)

\((-9.81g)^2\) ≈ \(96.2361g^2\)

\(9.19g^2\) ≈ \(84.4561g^2\)

\((-7.81g)^2\) ≈ \(60.8761g^2\)

\(2.19g^2\) ≈ \(4.7961g^2\)

\(10.19g^2\) ≈ \(104.0361g^2\)

\((-0.81g)^2\) ≈ \(0.6561g^2\)

Step 3: Sum up all the squared differences:

Sum of squared differences ≈ \(553.39g^2\)

Step 4: Divide the sum by (n-1) to get the variance:

Variance = (Sum of squared differences) / (sample size - 1)

Variance ≈ \(553.39g^2\)/ (16 - 1)

≈ 36.892

6g^2

Finally, calculate the standard deviation:

Standard deviation = sqrt(variance)

Standard deviation ≈ \(sqrt(36.8926g^2)\) is 6.08g

Now, we can calculate the margin of error using the formula:

Margin of error = Critical value * (Standard deviation / sqrt(sample size))

At a 95% confidence level, the critical value for a two-tailed test is approximately 1.96.

Margin of error ≈ 1.96 * (6.08g / sqrt(16))

≈ 2.6869g so 2.69g

Therefore, the margin of error at a 95% confidence level is approximately 2.69g.

b. The point estimate is the sample mean, which we calculated earlier:

Point estimate ≈ 117.81g

Therefore, the value of the point estimate is approximately 117.81g.

c. To find the 90% confidence interval for the mean, we can use the formula:

Confidence interval = Point estimate ± (Critical value * Standard error)

At a 90% confidence level, the critical value for a two-tailed test is approximately 1.645.

Confidence interval ≈ 117.81g ± (1.645 * (6.08g / sqrt(16)))

Confidence interval ≈ 117.81g ± 1.645 * 1.52g

Confidence interval ≈ 117.81g ± 2.5034g

Confidence interval ≈ (115.31g, 120.31g)

Therefore, the 90% confidence interval for the mean is approximately (115.31g, 120.31g).

To know more about Margin of Error visit-

brainly.com/question/29419047

#SPJ11

Answer:

Step-by-step explanation:

The answer is C

The polygons from the figure given below that are similar are Polygon B and Polygon C .

In the question ,

it is given that there are three polygons ,

we have to check which polygons are similar ,

to find the similarity we compare the length of all the polygons .

Let us first check for  Polygon A and Polygon B ,

105/120 = 7/8

80/90 = 8/9.

and  105/120 ≠ 80/90 ,

So , Sides are not in proportion for Polygons A and B.

Hence , the Polygons A and B are not Similar.

Let us check for Polygon A and C .

105/100 = 21/20

80/75 = 16/15.

and 105/100 ≠ 80/75

So , sides are not in proportion for Polygons A and C.

Hence , the Polygons A and C are Non Similar.

Now  for Polygon B and C .

120/100 = 6/5.

90/75 = 6/5.

and  120/100 = 90/75 = 6/5

So , Sides are in proportion for Polygons B and C .

Hence , the Polygons B and Polygon C are Similar.

Therefore , the Polygon B and Polygon C are similar .

The given question is incomplete , the complete question is

Which pairs of rectangles are similar polygons ? select similar or not similar for each pair of rectangles from the figure given below .

Learn more about Similarity here

https://brainly.com/question/10075733

#SPJ4

Answer:

The maximum height of the golf ball h(t) = 156.25m

The maximum height of the golf ball at  t = 3.125 seconds

Step-by-step explanation:

Step(i):-

Given

                 h(t)=-16t²+100t   ...(i)

Differentiating equation (i) with respective to 't'

              \(\frac{dh}{dt} = -16(2t) + 100 (1)\)

              -32t + 100 =0

            ⇒ -32 t = -100

           \(t = \frac{100}{32} = \frac{25}{8} = 3.125\)  

         t = 3.125 > 0

Step(ii):-

 Given h(t) = -16t²+100t  = 0

t ( -16 t + 100 ) =0

t =0 and  -16t = -100

t =0 and  t = 6.25

Step(iii):-

             h(t) = -16t²+100t ...(i)

put t=0  in equation (i)

           h(0) = 0

put t = 3.125 in equation (i)

h(t) = -16(3.125)²+100(3.125)

         h (t) =  156.25

Put t = 6.25

h(t) = -16(6.25)²+100(6.25)

    = 0

The maximum value h(t) = 156.25 at 3.125

final answer:-

The maximum height of the golf ball h(t) = 156.25m

The maximum height of the golf ball at  t = 3.125 seconds

Answer:

2

Step-by-step explanation:

because line a d divided the triangle ABC is into equal parts therefore line BD is equal to line DC which is equal to 2

Answer:

D. \(\frac{(x-7)^2}{8^2} -\frac{(y-2)^2}{7^2}\)

Step-by-step explanation:

hope this helps

Answer:  D has the largest perimeter

Step-by-step explanation:

The top numbers of fractions describe the vertex and  the bottom number square rooted tells you how long each or wide each part of the asymptote rectangle is.

A.

P = 2(11) + 2(3)

P = 22+6

P=28

B.

P = 2(4) + 2(9)

p = 8 +18

P = 26

C.

P = 2(5) + 2(9)

P = 10 +18

P = 28

D.

P =  2(8) + 2(7)

P = 16 +14

P = 30

Answer:

2 × a = 11 + 11 ---> 2a = 22 ---> a = 22/2 = 11

The powers of 10 are perfect squares when the exponent is an even number, and they are not perfect squares when the exponent is an odd number.

This distinction arises because multiplying an integer by itself an even number of times produces a perfect square, while multiplying it an odd number of times does not.

Powers of 10 can be categorized into two groups: those that are perfect squares and those that are not. To understand why this distinction exists, let's first review what it means for a number to be a perfect square.

A perfect square is a number that can be expressed as the square of an integer. For example, 4 is a perfect square because it can be written as 2²2, and 9 is a perfect square because it can be written as 3²2.

Now, let's consider powers of 10. A power of 10 is obtained by multiplying 10 by itself a certain number of times. For instance, 10²2 means multiplying 10 by itself twice (10 * 10 = 100), resulting in 100. Similarly, 10³3 is obtained by multiplying 10 by itself three times (10 * 10 * 10 = 1,000), yielding 1,000.

The key observation is that when we take a power of 10, we are essentially multiplying 10 by itself multiple times. In the case of perfect squares, the exponent of 10 will always be an even number. This is because multiplying an integer by itself an even number of times results in a perfect square. For example:

10²2 = 100 (10 * 10)

10²4 = 10,000 (10 * 10 * 10 * 10)

10²6 = 1,000,000 (10 * 10 * 10 * 10 * 10 * 10)

In each of these cases, the exponent (2, 4, and 6) is an even number, and the resulting power of 10 is a perfect square.

On the other hand, when the exponent of 10 is an odd number, the resulting power of 10 is not a perfect square. For example:

10²1 = 10 (10)

10²3 = 1,000 (10 * 10 * 10)

10²5 = 100,000 (10 * 10 * 10 * 10 * 10)

In each of these cases, the exponent (1, 3, and 5) is an odd number, and the resulting power of 10 is not a perfect square.

To know more about squares here

https://brainly.com/question/28156082

#SPJ4

1000 cubic centimeters would need to be placed in a tub of water to displace 1 Lter of water

Conversion of units simply refers to the method used in determining the equivalent of one unit in relation to another.

From the information given, we have that;

Number of cubic centimeters that would be placed in a tub of water to displace 1 L of water

So, we have that there is 1 liter of water in the tub

In order to displace, you need to put something in that is the same amount

Now, let's convert the units

1 liter = 1000 cubic cm

Hence, you need 1000 cubic cm to displace 1 liter

Learn more about conversion of units at: https://brainly.com/question/141163

#SPJ1