does the point (4,1) satisfy y = 4x

Answer:

Assuming the ball is a perfect sphere, we can use the formula for the volume of a sphere to calculate the amount of air it can hold.

The formula for the volume of a sphere is:

V = (4/3)πr^3

where V is the volume, π is a mathematical constant approximately equal to 3.14, and r is the radius of the sphere.

To calculate the radius of the ball from its diameter of 15 inches, we divide by 2:

r = d/2 = 15/2 = 7.5 inches

Substituting this value into the formula, we get:

V = (4/3)π(7.5)^3 ≈ 1767.15 cubic inches

Therefore, the ball can hold approximately 1767.15 cubic inches of air to the nearest tenth.

Step-by-step explanation:

Answer:

Answer:  6/25

======================================================

Explanation:

The table shows the spinner lands on "4" exactly 12 times out of the 50 total.

12/50 = (2*6)/(2*25) = 6/25

In decimal form that is 6/25 = 0.24 which converts to 24%

The area of the poster in inches is,

⇒ A = 4 inches²

We have to given that;

A rectangular poster is 50 centimeters long and 25 centimeters wide.

Here, 1 centimeter is approximately 0.4 inches

Hence, Lenght = 50 cm

Lenght = 50 x 0.4

            = 2 inches

Width = 25 cm

          = 25 x 0.4

           = 1 inches

Thus, The area of the poster in inches is,

⇒ A = 1 x 4

⇒ A = 4 inches²

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Answer:

A,E

Step-by-step explanation:

Operation: Minus

To find how far Sam ran, we need to subtract 2.3 from Dean's distance of 6.8 km.

6.8 km - 2.3 km = 4.5 km

Therefore, Sam ran 4.5 km, since Dean ran 2.3 km fewer than Sam.

Answer:

a and e

Step-by-step explanation:

got it right on homework

The correct expression is  \($(150 \cdot 1.15)^7$\) (Choice A).

The problem states that the painting's value increases by a factor of 1.15 each year. This means that the value at the end of each year is 1.15 times the value at the beginning of the year. Therefore, after one year, the value of the painting is\($150 \cdot 1.15 = 172.50$\).

To find the value after 7 years, we need to multiply the value of the painting each year by 1.15 a total of 7 times. This can be represented mathematically as \($(150 \cdot 1.15)^7$\). This expression is equal to the starting value of the painting, 150, multiplied by 1.15$ raised to the 7th power, which represents the 7 years of appreciation.

If we were to choose expression B, it would give an incorrect result because it uses a value of 1.1 instead of 1.15 to represent the yearly increase in value.

Expressions C and D are also incorrect because they are not taking into account the compounding effect of the yearly increase. Expression C adds the initial value and the total years together, and expression D adds the initial value to the yearly increase multiplied by 7, neither of which correctly reflects the exponential growth of the painting's value.

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Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)

To rotate a point 90 degrees  clockwise about a given point,we can follow these steps -

Translate the coordinates   of the given point so that the center of rotation is at the origin.   In this case,we subtract the coordinates   of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).

Perform the rotation by swapping the x and y coordinates and changing the sign of the   new x coordinate. In this case,we  swap the x and y coordinates of (-5, 3)   to  get (3, -5).

Translate the coordinates back to their original position   by adding the coordinates of the center (0,1)  to the result from step 2. In   this case, we add (0,1) to (3, -5) to get (3, -4).

Therefore, the coordinates   of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

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Answer: honestly the only thing i know is that mean is another way of saying expected value

Step-by-step explanation:

Answer:

B.) 68 mph.

Step-by-step explanation:

First, write this as a ratio>>> 225 feet : 2.26 seconds

Then, figure out how many feet are in one mile>>>  5280 feet

Then, figure out how many seconds are in one hour>>> 3600 seconds

Now, convert your feet to miles>>> 225ft/ 5280mi = 0.04261mi

So, now we know that the cheetah runs 0.043 miles in 2.26 seconds

And we know that there are 3600 second in one hour, so 3600sec/ 2.26sec = 1592.92 seconds.

Now you multiply this by the miles in 2.26 seconds>>> 1592.92* 0.043 = 68.495

So, the cheetah runs approximately 68 mph.

Can I get a thanks, five stars, and brainliest please?

Answer:

.

Step-by-step explanation:

we know that

the dimensions of the first garden are------> 5 ft x 3 ft

perimeter first garden=2*[5+3]-----> 16 ft

the dimensions of the second garden are---> (5*2) ft x (3*2) ft

10 ft x 6 ft

perimeter second garden=2*[10+6]-----> 32 ft

so

The answer is

32

By proving that ΔEAB and ΔFDC have congruent corresponding angles and proportional corresponding sides, we can conclude that ΔEAB ≅ ΔFDC.

Given:

- Triangle ΔAEB and ΔDFC

- Line ABCD is straight (implies AC and BD are collinear)

- AE is parallel to DF

- EB is parallel to FC

- AC = DB

To prove: ΔEAB ≅ ΔFDC

Recall that:

AE || DF

EB || FC

AC = DB

AE || DF, EB || FC (Parallel lines with transversal line AB)

Corresponding angles are congruent:

  ∠AEB = ∠DFC (Corresponding angles)

  ∠EAB = ∠FDC (Corresponding angles)

Corresponding sides are proportional:

  AE/DF = EB/FC (Corresponding sides)

  AC/DB = BC/DC (Corresponding sides)

  AC = DB

  BC = DC (Equal ratios)

ΔEAB ≅ ΔFDC (By angle-side-angle (ASA) congruence)

∠EAB = ∠FDC

∠AEB = ∠DFC

AC = DB, BC = DC

Therefore, by proving that ΔEAB and ΔFDC have congruent corresponding angles and proportional corresponding sides, we can conclude that ΔEAB ≅ ΔFDC.

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Step-by-step explanation:

In the given figure, its a cube with edge 7.7 inches.

Surface area = 6a²

Where ‘a’ denotes the edge

→ 6(7.7)²

→ 6 × 59.29

→ 355.74

Rounding nearest tenth :

→ 355.8

Answer:

8%

Step-by-step explanation:

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Answer:

y=4x^3−10x+128.805299

Step-by-step explanation:

Xmin:

-10

Xmax:

10

Ymin:

-10

Ymax:

10

Answer:

$1,738.91

Step-by-step explanation:

Future value = A(1+i)^n

A= $1,500

i = 3%

n - 5

Future value = $1,500*(1+0.03)^5

Future value = $1,500*(1.03)^5

Future value = $1,500*(1.03)^5

Future value = $1,500*1.1592740743

Future value = $1738.91111145

Future value = $1,738.91

$1,738.91 is the amount of money you will meet in the account when you need it for college in 5 years.

Answer:

the awnser is C

Step-by-step explanation:

1. This means that B) There is an 80% probability that the study will be able to detect a difference in test anxiety between those who practice the mindfulness/meditation program and those in the control group, if a difference truly exists. 2. The causal relationship between the exposure of genetic inheritance and disease outcome in this example can be characterized as B)Necessary but not sufficient

1. A power level of 80% in a randomized controlled trial indicates the ability of the study to detect a true effect or difference between two groups, in this case, the mindfulness/meditation group and the control group. In other words, if there is a genuine difference in test anxiety levels between college students who practice mindfulness/meditation and those who do not, the study has an 80% chance of successfully identifying that difference.

This power level is important because it helps to minimize the risk of a Type II error, which occurs when a study fails to detect a true difference between groups. A higher power level means the study is more likely to identify a true effect, thereby reducing the risk of a Type II error. Conversely, a lower power level would indicate a higher chance of not detecting a real difference, even if it exists. It is important to note that the power level does not indicate the probability of the treatment being effective or improving test scores but rather the ability of the study to detect differences between groups. Therefore, option B is correct.

2. Osler-Weber-Rendu disease, also known as hereditary hemorrhagic telangiectasia (HHT), is a rare autosomal dominant disorder that affects blood vessels throughout the body, leading to a tendency for bleeding. Inheritance of one affected gene means that a person will always develop the disorder, although there can be variations in severity. The disorder occurs due to genetic inheritance, and there is no other way to contract it.

In this scenario, the causal relationship between the exposure of genetic inheritance and the disease outcome can be characterized as necessary but not sufficient. This is because inheriting the affected gene is necessary for the development of the disorder - without the presence of the affected gene, the person would not have the disease. However, the inheritance of the affected gene alone is not sufficient to predict the severity of the disorder, as the manifestation of the disease may vary among individuals who have inherited the gene. Therefore, option B is correct.

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Answer:

1). SUBTRACTION property of equality

2). MULTIPLICATION property of equality

Step-by-step explanation:

Step 2:

When we subtract the same number from both the sides of an equation it represents the subtraction property of equality.

\(\frac{x}{4}+5-(5)=23-(5)\)

Here 5 has been subtracted from both the sides.

Therefore, SUBTRACTION property of equality was applied.

Step 4:

If the same number is multiplied to both the sides of an equation, multiplication property of equality is applied.

\(4\times \frac{x}{4}=4\times (18)\)

Here 4 has been multiplied to both the sides.

Therefore, MULTIPLICATION property of equality was applied.

Answer:

.5504

Step-by-step explanation:

Answer:

1 7/20

Step-by-step explanation:

I think that's the answer.

Answer:

Step-by-step explanation:

One sentence on globalization from the text: The process of globalization has brought significant changes to the world economy, including the emergence of new trade patterns and the increasing interconnectedness of markets.

One sentence on how the absence of plantation owners perpetuated cruel treatment of slaves by overseers: In the absence of plantation owners, overseers were left with unchecked power over the enslaved population, often resulting in brutal treatment and violence

Answer:

x = 6/5

Step-by-step explanation:

Since y = each of the expressions, make them equal to each other.

x - 4 = 6x - 10

Subtract x from each side

-4 = 5x - 10

Add 10 to each side

6 = 5x

Divide by 5

6/5 = x

Work Shown:

LCM = (product of two numbers)/(HCF of the two numbers)

LCM = 1536/16

LCM = 96

Answer:

1.8

Step-by-step explanation:

you have to divide 9 from 5 to get 1.8

Answer:

Decimal 1.8

Percentage 180%

Step-by-step explanation:

You posted a lot of questions. I'll do the first three to get you started.

==================================================

Problem 1

Explanation:

Draw a vertical line to enclose the un-shaded region. Think of it like adding fencing to enclose a paddock or backyard.

What results are two rectangles. The larger rectangle has area = length*width = 8*10 = 80 square inches.

The smaller unshaded rectangle inside has area of 5*5 = 25 square inches.

The difference of those areas is:  80-25 = 55

You have the correct answer. Nice work.

==================================================

Problem 2

Explanation:

Follow the same set of steps as done in the previous problem. Draw a vertical line to form a larger rectangle.

The larger rectangle has area of 18*31.5 = 567 square feet.

The smaller unshaded rectangle has area of 9*9 = 81 square feet.

Subtract those results to get the shaded region only: 567-81 = 486

==================================================

Problem 3

Explanation:

This time we don't have to add any extra lines to enclose the figure.

A = larger area = 6*2.4 = 14.4

B = smaller unshaded area = 2*4.4 = 8.8

C = A-B = 14.4-8.8 = 5.6 square cm

You have the correct answer. Nice work.

Answer:

1)  55 in²

2)  486 ft²

3)  5.6 cm²

Step-by-step explanation:

To calculate the area of each given figure, subtract the area of the cut-out rectangle (marked in blue on the attached diagram) from the area of the larger rectangle.

\(\boxed{\begin{minipage}{5cm}\underline{Area of a rectangle}\\\\$A=w\cdot l$\\\\where:\\ \phantom{ww} $\bullet$ \quad $w$ is the width.\\ \phantom{ww} $\bullet$ \quad $l$ is the length.\\\end{minipage}}\)

\(\begin{aligned}\textsf{Total Area}&=\textsf{Larger rectangle}-\textsf{Cut-out rectangle}\\&=8 \cdot 10- 5\cdot 5\\&=80-25\\&=55\; \sf in^2\end{aligned}\)

\(\begin{aligned}\textsf{Total Area}&=\textsf{Larger rectangle}-\textsf{Cut-out rectangle}\\&= 31.5\cdot 18- 9\cdot 9\\&=567-81\\&=486\; \sf ft^2\end{aligned}\)

\(\begin{aligned}\textsf{Total Area}&=\textsf{Larger rectangle}-\textsf{Cut-out rectangle}\\&= 6\cdot 2.4- 4.4\cdot2 \\&=14.4-8.8\\&=5.6\; \sf cm^2\end{aligned}\)

The last expression finally simplifies to cot β + tan α using quotient identity in trigonometric identities.

We want to verify the trigonometric  identity;

cos (α - β)/(cos α sin β) = cot β + tan α

Now, according to trigonometric identities in mathematics, we know that;

cos (α - β) = (cos α cos β) + (sin α sin β)

Thus, plugging that back into our left hand side of the main question gives;

[(cos α cos β) + (sin α sin β)]/(cos α sin β)

Rewriting this expression by separating the denominator gives;

[(cos α cos β)/(cos α sin β)] + [(sin α sin β)]/(cos α sin β)

Using quotient identities, this can be simplified to;

cot β + tan α

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Answer:

To get from ax-5a+4x-20 to a(x-5)+2(2x-10). You had to of found a common factor.

Another (better) way to simply this would be finding the greatest common factor.

a(x-5)+4(x-5)

(a+4)(x-5)

Answer:

a) There is only one hole in a whole.

b) There are five fifths in a whole. In four wholes, there would be 5 x 4 = 20 fifths.

c) There are eight fourths in two wholes. In five wholes, there would be 8 x 5 = 40 fourths.

Give me a harder one lol

Step-by-step explanation: