Sasha is making custom designs using these small trapezoidal prisms. She wants to cover each of the 8 prisms in her current design in striped cloth on all sides. She has 3500 square centimeters of striped cloth.

Does Sasha have enough cloth to cover all 8 prisms in her current design?

Choose from the drop-down menus to correctly complete the statement.
The combined surface area of the prisms is cm², therefore Sasha have enough cloth for her current design.

Answer: 1. a) (-6)(-2) = 12(-2) = -24(-1) = 24

b) \(\frac{64}{8}\)= \(\frac{8}{1}\)=8

c) (-5) + (-6) = -5 - 6= -11

2. a) +10°C

b) -6m

c) -100m

d) +5000

3. a) 56-2(20+12÷4x3-2x2) + 10

        => 56 - 2[(20) +(12÷4)3 - (2x2)] + 10

        => 56 - 2[(20) + 3(3) - (2x2)] + 10

        => 56 - 2[20 + 9 - 4] + 10

        => 56 - 50 + 10

        => 16

b) 3 + 6(5+4) ÷ 3 - 7

    => 3 + 6(9) ÷ 3 -7

    => 3 + 54 ÷ 3 -7

    => 3 + 18 - 7

    => 14

c) 2[2 + 2[39 - 2(17 + 2)]]

   => 2[4[39 - 2(19)]]

   => 2[4[37(19)]]

   => 2[2812]

   => 5624

4. a) \(\frac{2}{5}\)    b) 45\(\frac{2}{3}\)   c) 13\(\frac{6}{7}\)   e) 2\(\frac{1}{2}\)   f) 2\(\frac{1}{2}\)   g) 31\(\frac{1}{2}\)

5. a) 19 \(\frac{17}{40}\)   b) 45\(\frac{2}{3}\)   c) 13\(\frac{6}{7}\)         [On PNG]

6. 1) .01336   2) 44.363   3) .57366   4) 76.23   5) .001612   6) 3.70538

[2. I wasn't so sure about]

Answer:

Find the slope of the original line and use the point-slope formula y−y1=m(x−x1)to find the line parallel to y=4x.

y=4x+4

Step-by-step explanation:

The equation for the line that runs between the points (8, 4) and (0, 2) has the following slope-intercept form is : y = 1/4 x + 2

The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.

Here,

A line's equation can be written as y = mx + b in slope-intercept form.

slope = m and y-intercept = b.

You can rewrite the equation in point-slope form as y = mx + b.

Given,

y - 4 = 1/4 (x - 8)

Change the formula to y = mx + b.

So,

y - 4 = 1/4 x - 2

We have to add 4 on both sides,

y - 4 + 4 = 1/4 x - 2 + 4

y = 1/4 x + 2

As a result, the equation of the line passing through the points (8, 4) and (0, 2) has the slope-intercept form is y = 1/4 x + 2 .

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Answer:

14

Step-by-step explanation:

When there are 2 -, they both create a +. the brackets are removed and you get 4--10, which is equal to 4+10 which = 14

Answer:

w>24

Step-by-step explanation:

Let's solve your inequality step-by-step.

20<5/6w

Answer: x>24

Step-by-step explanation:

To solve the inequality, we want to isolate w.

\(20<\frac{5}{6}w\)             [multiply both sides by 6/5]

\(w>24\)

Now, we know that w>24 or 24<w.

It should be noted that the concept of chords and central angles are used in the design since the diameter and circumference of the angles are taken into consideration.

A ferris wheel simply means an amusement ride that contains a rotating uprights wheel that has multiple passenger-carrying components attached to a rim.

It should be noted that the consideration in designing a ferris wheel is that the circumference and the measurement of the central angle formed will be known.

Lastly, if a ferries wheel is not circular in design, it'll be a challenge for it to rotate.

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The color gradient will vary depending on the height values, with distinct colors representing different average heights. This visualization makes it easier to compare average heights across gender and age groups.

If you drag the average height measure to the color box and select the mark type to be a square, each cell in the table will be represented by a square. The color of the square will correspond to the average height of patients within that particular gender and age group. So, for example, if the average height of male patients aged 20-30 is 6 feet, the corresponding square in the table will be colored to indicate this height range.
When you drag the average height measure to the color box and select the mark type as a square, the cells in the table will display square-shaped marks. Each square's color will represent the average patient height for each specific gender and age group.

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Answer:

C. 0.26

Step-by-step explanation:

Answer:

a is less than 0

Step-by-step explanation:

The value of a in this function is a is less than 0 .

A radical function contains a radical expression with the independent variable (usually x) in the radicand. Usually radical equations where the radical is a square root is called square root functions. An example of a radical function would be. y=√x.

According to the question

Radical function that can be written in the form

\(f(x)=a(x+k)^{1/n} +c.\) ------------------------(1)

By solving this equation we will get value of a and c

differentiating the equation

\(f'(x)=\frac{1}{n}* (a(x+k)^{1/n-1})\)

therefore

\(((x+k)^{1/n-1}) > 0\)

As graph is decreasing monotonically  

\(\frac{a}{n} < 0\)

as n will be always n>0 ,

so a < 0

Now taking value of f(x)= 0 in equation (1)

\(f(x)=a(x+k)^{1/n} +c\)

\(0 =-a(x_{0} + k)^{1/n} +c\)   as (a < 0)

\(0=-a(k)^{1/n} +c\)

\(-c =-a(k)^{1/n}\)  multiplying (-1) both side

\(c =a(k)^{1/n}\)  

i.e

c > 0

Hence, the value of a in this function is a is less than 0 .

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The maximum mass of the water bug to avoid sinking is approximately 0.079 grams.

To determine the maximum mass of the water bug that avoids sinking, we need to consider the buoyant force acting on it. The buoyant force is equal to the weight of the water displaced by the bug.

Calculate the volume of water displaced:

The bug's weight is balanced by the buoyant force, so the volume of water displaced is equal to the volume of the bug.

Each leg has a length of 5 mm, which means the total height of the bug is 5 mm. Assuming the cross-sectional area of the bug is constant along its height, we can use the formula for the volume of a cylinder to calculate the volume:

Volume = π * radius^2 * height

Since each leg is cylindrical, the radius would be half the leg's diameter, which is 5 mm (or 0.005 m).

Therefore, the volume of water displaced by the bug is:

Volume = π * (0.005 m)^2 * 0.005 m

Calculate the weight of the water displaced:

The weight of the water displaced is equal to the buoyant force acting on the bug.

Weight of water displaced = density of water * volume of water displaced * acceleration due to gravity

The density of water is approximately 1000 kg/m³, and the acceleration due to gravity is approximately 9.8 m/s².

So, the weight of the water displaced is:

Weight of water displaced = 1000 kg/m³ * Volume * 9.8 m/s²

Calculate the maximum mass of the bug:

The maximum mass of the bug is the mass at which its weight equals the weight of the water displaced:

Maximum mass = Weight of water displaced / acceleration due to gravity

Maximum mass = (1000 kg/m³ * Volume * 9.8 m/s²) / 9.8 m/s²

Now, let's plug in the values and calculate the maximum mass of the bug:

python

import math

radius = 0.005  # in meters (5 mm)

height = 0.005  # in meters (5 mm)

density_water = 1000  # in kg/m³

acceleration_due_to_gravity = 9.8  # in m/s²

volume = math.pi * radius**2 * height

weight_of_water_displaced = density_water * volume * acceleration_due_to_gravity

maximum_mass = weight_of_water_displaced / acceleration_due_to_gravity

maximum_mass_grams = maximum_mass * 1000  # converting to grams

print("Maximum mass of the bug to avoid sinking:", maximum_mass_grams, "grams")

Using the above calculations, the maximum mass of the water bug to avoid sinking is approximately 0.079 grams.

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Answer:

0.1997 or 19.97%

Step-by-step explanation:

Have taken course online (H) = 23%

Have NOT taken course online (N) = 77%

Have taken course online and don't believe they provide same value (H&D) = 61%

Have NOT taken course online and don't believe they provide same value (N&D) = 73%

The probability that a student has taken a course online given that she does not believe that online courses provide the same educational value as one taken in person is;

\(P(H|D)=\frac{P(H)*P(H\&D)}{P(H)*P(H\&D)+P(N)*P(N\&D)}\\P(H|D)=\frac{0.23*0.61}{0.23*0.61+0.77*0.73}\\P(H|D)=0.1997\)

There is a 0.1997 or 19.97% chance that she has taken an online course before.

When Sarah and Gavyn win money, they divide it in a 5:3 ratio.If  Sarah gets £14 more than Gavyn, Gavyn gets £21.

Let's call the amount of money that Sarah and Gavyn win "x".

According to the problem, they share the money in the ratio 5:3, which means that Sarah gets 5 parts and Gavyn gets 3 parts.

Let's call the amount of money that Gavyn gets "y". Then, we know that:

Sarah gets £14 more than Gavyn, which means that Sarah's share is y + £14.

We can set up an equation to represent the fact that the ratio of their shares is 5:3:

5/3 = (y + £14)/y

To solve for y, we can cross-multiply:

5y = 3(y + £14)

5y = 3y + £42

2y = £42

y = £21

Therefore, Gavyn gets £21.

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The number of pack of cards sold at the state of Arkansas is 8100.

For the values given in question.

The tax on playing card in state of Arkansas = 6 cents per pack.

Total revenue generated =  $48600.

Divide total revenue by one pack price to get the number of packs.

Number of pack = Total revenue/price of each pack

Number of pack =  $48600/6

$48600.Number of pack = 8100

Thus, the number of pack of cards sold at the state of Arkansas is 8100.

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The answer is $6.93. Hope it helped.

Answer:

No solution

Step-by-step explanation:

Rewrite so  m  is on the left side of the inequality.

8 m − 4 ( 2 m + 5 ) > 46

Simplify  

8 m − 4 ( 2 m + 5 )

Apply the distributive property.

8 m − 4 ( 2 m ) − 4 ⋅ 5 > 46

Multiply  2 by  − 4  .

8 m − 8 m − 4 ⋅ 5 > 46

Multiply  − 4 by  5 .

8 m − 8 m − 20 > 46

Simplify by adding terms.

Subtract  8 m from 8m .

0 − 20 > 46 0 - 20 > 46

Subtract  20 from  0 .

− 20 > 46

Since  − 20 < 46

There are no solutions. No solution

(Hope this helps can I pls have brainlist (crown)☺️)

Answer:5760

Step-by-step explanation:

48 beats per min and its 120 min in 2 hours so multiply 120×48=5760

Given :   dilation with a scale factor of 3

To find :  Which statement is true

Solution:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size

if Dilation factor  N then image Size is multiplied  by  N

if Scale factor  < 1 then image get reduced

if scale factor > 1  then image get enlarged

scale factor = 1 lead to Same size image

Here is given that Scale factor of 3

=> image will be enlarged to 3 times the original image

Hence correct option is :

C)Each side in the pre-image is multiplied by three to find the corresponding side length in the image

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The value of AB in the triangle is 2.5 cm and the value of x in the triangle is 10 units

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

The triangle

On the triangle, we have the following equivalent ratio

AB : 4 = 10 : 16

Express as fraction

So, we have

AB/4 = 10/16

This gives

AB = 4 * 10/16

Evaluate

AB = 2.5

Here, we understand that the line bisects the angle BAC

This means that

x = 20 - x

So, we have

2x = 20

Divide

x = 10

Hence, the value is 10

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Answer:

1.6

Step-by-step explanation:

i used a calculator

The answer would be 1.6

The sample proportion of 70% (or 0.70) would be considered unusual because the statistic falls more than three standard errors from the mean.

To determine whether a sample proportion is considered unusual, we can compare it to the expected population proportion. In this case, the assumed proportion of women in the population is 51% (or 0.51).

To assess the unusualness of the sample proportion of 70% (or 0.70), we can use the concept of standard errors. The standard error measures the variability or uncertainty of a sample proportion. In general, when a sample proportion is within three standard errors of the population proportion, it is considered not unusual.

However, if the sample proportion falls more than three standard errors away from the population proportion, it suggests a significant difference between the sample and population. This could indicate that the observed proportion is unlikely to occur by random chance alone.

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Answer:

P( - \(\frac{1}{2}\), \(\frac{5}{2}\) )

Step-by-step explanation:

The derivative of y is the gradient of the slope.

Given

y = 2x³ + 3x² + 2, then

\(\frac{dy}{dx}\) = 6x² + 6x , equate to - \(\frac{3}{2}\)

6x² + 6x = - \(\frac{3}{2}\) ( add -

6x² + 6x + \(\frac{3}{2}\) = 0 ( multiply through by 2 )

12x² + 12x + 3 = 0  ( divide through by 3 )

4x² + 4x + 1 = 0 ← in standard form

(2x + 1)² = 0 ← in factored form

2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = - \(\frac{1}{2}\)

Substitute this value into y for corresponding y- coordinate

y = 2(- \(\frac{1}{2}\) )³ + 3(-

  = 2(- \(\frac{1}{8}\) ) + 3(\(\frac{1}{4}\) ) + 2

  = - \(\frac{1}{4}\) + \(\frac{3}{4}\) + 2 = \(\frac{5}{2}\)

Thus P = ( - \(\frac{1}{2}\), \(\frac{5}{2}\) )

Answer: 42

Step-by-step explanation: you have to add 9 18 and 15.

Answer:

-11

Step-by-step explanation:

-27-(-16)=-11 or, -27+16=-11

yes aaaaaaaaaaaaaaaxxs

On solving the provided question we can say that  from the provided data in the graph we have, A"B"C" is a reflection then translation of ABC.

Mathematicians use graphs to logically convey facts or values using the a visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle

from the provided data in the graph we have,

A"B"C" is a reflection then translation of ABC.

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Approximately 204.11 years ago, your great, great, great, great grandmother left you $2 in a bank account that has grown to $150,000 today.

To calculate the number of years, we can use the compound interest formula:

\(A = P(1 + r/n)^ {nt}\)

where A is the final amount, P is the principal amount, r is the annual interest rate (as a decimal), n is the number of times the interest is compounded per year, and t is the number of years.

Given that the principal amount is $2, the final amount is $150,000, the annual interest rate is 5.5% (0.055 as a decimal), and the interest is compounded weekly (n = 52), we can solve for t:

\(50,000 = 2(1 + 0.055/52)^{52t}\)

Dividing both sides by $2 and isolating the exponent, we get:

\(75,000 = (1.0010576923076923)^{52t}\)

Taking the logarithm of both sides, we have:

\(log(75,000) = log(1.0010576923076923)^{52t}\)

Using logarithm properties, we can rewrite the equation as:

log(75,000) = 52t * log(1.0010576923076923)

Solving for t by dividing both sides by 52 * log(1.0010576923076923), we find:

t ≈ 204.11 years

Therefore, approximately 204.11 years ago, your great, great, great, great grandmother left you $2 in the bank account.

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Answer:

6

Step-by-step explanation:

A painter mixes 2 1/2 pints (2.5 pints) of yellow paint with 4 pints of red paint to make a certain shade of orange paint. The ratio of yellow paint to red paint is 2.5:4. In order to find the pints of yellow paint needed to be mixed with 10 pints of red paint, we will use conversion fractions.

10 red pints × (2.5 yellow pints/ 4 red pints) ≈ 6 pints (we round off to 1 significant figure)

If two samples are selected from same population, then two samples are  guaranteed to have exactly same t-statistic is (d) If samples are same-size and have same-mean and have same-variance.

If two samples are selected from the same population and have the same size, same mean, and same variance, the t statistic calculated for both samples will be exactly the same.

The t statistic is computed using the sample means, sample variances, and sample sizes. When these values are identical for both samples, the calculations for the t-statistic will yield the same result.

This scenario ensures that the t-statistic, which is used for hypothesis testing or constructing confidence intervals, will be consistent across the two samples.

Therefore, the correct option is (d).

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The given question is incomplete, the complete question is

If two samples are selected from the same population, under what circumstances are the two samples guaranteed to have exactly the same t statistic?

(a) If the samples are the same size and have the same variance.

(b) If the samples are the same size and have the same mean.

(c) If the samples have the same mean and the same variance.

(d) If the samples are the same size and have the same mean and have the same variance.