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Answer:

$8

Step-by-step explanation:

20% is 1/5, so you can basically divide $40 by 5, which is $8.

Answer:

they are wrong the first one is the B one and the next one is D have a good day.

Step-by-step explanation:

Answer:

y+4=-5/6(x-8)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=-5/6(x-8)

y+4=-5/6(x-8)

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Answer:

0

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

take for example

in the expression: 3x²+5x+2=0,

the coefficients here are +3 and +5 while +2 is a constant. +3 and +5 are coefficients of the variables x² and x respectively

Answer:

Peter's company uses on:

Monday = 4 gallons

Tuesday = 4 gallons

Wednesday = 4 gallons

Thursday = 8 gallons

Step-by-step explanation:

If they made a total of 20 gallons over the course of these four days, how many gallons did they make each day? Monday

Let the gallons of paint used be Peter's company on Monday, Tuesday, and Wednesday since it is the same amount be represented by x

On Thursday, they made twice as many as any of the previous days.

= 2x

Hence:

x + x + x + 2x = 20 gallons

5x = 20 gallons

x = 20 gallons/5

x = 4 gallons

Note that:

Thursday = 2x

Hence, = 2 × 4 gallons = 8 gallons

Hence, Peter's company uses on:

Monday = 4 gallons

Tuesday = 4 gallons

Wednesday = 4 gallons

Thursday = 8 gallons

Answer:

I think the answer is A

1,2

The unknown measure could be either the radius or the diameter of the circle. Without additional information, it is not possible to determine the exact value.

To determine unknown measure of a circle through given circumference of a circle that is approximately 78.5 centimeters, we can use this information to find the unknown measure, which could be either the radius or the diameter of the circle.

To determine the unknown measure, we need to use the formulas relating the circumference of a circle to its radius and diameter.

Radius (r):

The formula for the circumference of a circle in terms of the radius is:

C = 2πr

To find the radius (r), we rearrange the formula:

r = C / (2π)

Using the given circumference value of approximately 78.5 centimeters, we can substitute it into the formula to find the radius.

r = 78.5 / (2π) ≈ 12.5 cm (rounded to one decimal place)

Therefore, the radius of the circle is approximately 12.5 centimeters.

Diameter (d):

The formula for the circumference of a circle in terms of the diameter is:

C = πd

To find the diameter (d), we rearrange the formula:

d = C / π

Using the given circumference value, we can substitute it into the formula to find the diameter.

d = 78.5 / π ≈ 25 cm (rounded to one decimal place)

Therefore, the diameter of the circle is approximately 25 centimeters.

Based on the given information of the circumference, you can now determine either the radius (approximately 12.5 cm) or the diameter (approximately 25 cm) of the circle.

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To determine the value of v that makes the equation true, we have to solve the equation and obtain the value of v

The value of v that makes the equation true is v=8

Answer:

40 cm²

Step-by-step explanation:

Surface Area = 4 x Area of Triangle + Area of Square

= 4 x 1/2 x 4 x 3 + 4 x 4

= 24 + 16

= 40 cm²

I cannot tell what you did wrong unless provided with your calculations as well.

144. Use the formula for the volume of a cone, since the answer is in terms of pi disregard the pi in the formula and solve using (r^2)(h/3) which will give you the answer in terms of pi.

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Explanation:

Check out the diagram below. Locate -2 on the horizontal x axis. Draw a vertical line through this value. Mark where the vertical line crosses the curve. Call this point P. Then draw a horizontal line through point P to have it cross the y axis. This horizontal line crosses at y = 1

In short, x = -2 leads to y = 1

So that is why f(-2) = 1

This is another way of saying f(x) = 1 when x = -2.

Note: y = f(x) since both are outputs of a function

Answer:

1) 3/2

2) 13/10

3) 1/3

4) 9/7

5) 13/20

Step-by-step explanation:

This can be shortened to "x intercepts are -1 and -11" since in every case, the y value is always 0 for any x intercept. There's no need to state the y coordinate since it's always 0.

We find this by solving (x+1)(x+11) = 0 for x using the zero product property

(x+1)(x+11) = 0

x+1 = 0 or x+11 = 0

x = -1 or x = -11

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This is the result of computing y = (0)^2+12(0)+11. Due to how easy it is to work with 0, we basically just erase the  (0)^2+12(0) portion and we're left with 11 as our y intercept. This means you can erase the x^2+12x portion of the original equation to get the same result.

1.738 kg of coffee are required to produce 200 cups of coffee.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal.

Now it is given that,

1 pound of coffee yield 50 cups.

Since 1 pound = 0.4535 kg

Therefore, 0.4535 kg of coffee yield 50 cups.

Let x be the kgs of coffee that yields 200 cups of coffee.

Thus by proportion we can write,

0.4345 / 50 = x / 200

By cross multiplication we get,

50 x = 0.4345 * 200

⇒ 50x = 86.9

⇒ x = 86.9 / 50

⇒ x = 1.738 kgs

which is the required amount of coffee need to yield 200 cups.

Thus, 1.738 kg of coffee are required to produce 200 cups of coffee.

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Answer:

r = 3.95

Explanation:

A = \(\pi {r}^{2} \)

3.14r² = 15.6 (3.14)

Divide by 3.14

r² = 15.6

r = \( \sqrt{15.6} \)

r ≈ 3.95

The approximate percentage of students who hope to own a house someday is between 78.4% and 81.6% calculated at a 68% confidence.

What is confidence level in statistics?

A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. At a chosen confidence level, a confidence interval is calculated.

From the given question, we can write

The proportion of students who hope to own a house p' = \(\frac{480}{600}\) = \(\frac{4}{5}\) = 0.8

The proportion of students who does not hope to own a house q' = 1-p'

                                                                                                = 1-0.8=0.2

Since the requested confidence level is CL = 0.68, then

\(\frac{\alpha }{2}\) = 0.68/2 = 0.32

\(z_{\frac{\alpha }{2} }\) = 0.92 ( From standard normal distribution table)

So, approximate percentage is

p' - \(z_{\frac{\alpha }{2} }\)\(\sqrt{\frac{p'q'}{n} }\) ∠ p ∠ p' +  \(z_{\frac{\alpha }{2} }\)\(\sqrt{\frac{p'q'}{n} }\) ( n is the total population)

= 0.8 - 0.92\(\sqrt{\frac{0.8 * 0.2}{600} }\) ∠ p ∠ 0.8 + 0.92\(\sqrt{\frac{0.8 * 0.2}{600} }\)

= 0.784 ∠ p ∠ 0.816

Therefore the approximate percentage of students who hope to own a house someday calculated at a 68% confidence is between 78.4% and 81.6%.

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The purpose of this test is to evaluate the effects of rotational acceleration on the semicircular ducts and dynamic equilibrium. This test is called Rotational Acceleration Test.

The purpose of the rotational acceleration test is to assess how the semicircular ducts and the body's dynamic equilibrium respond to rotational movements. The semicircular ducts are part of the vestibular system, which is responsible for detecting changes in head position and rotational movements.

During the test, the individual is subjected to controlled rotational acceleration, usually in a specially designed chair or device. The rotational acceleration induces a sense of spinning or movement, stimulating the semicircular ducts.

By observing the individual's responses, such as eye movements or changes in body posture, healthcare professionals can gather information about the functioning of the vestibular system and the body's ability to maintain balance.

This test is particularly useful in diagnosing disorders of the vestibular system, such as vestibular dysfunction, vertigo, or balance disorders. It helps healthcare providers determine the extent of the impairment and develop appropriate treatment plans or interventions to improve balance and reduce symptoms.

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Answer: The square roots, cube roots, etc., of natural numbers are irrational numbers

Step-by-step explanation: if their exact values cannot be obtained. of doesn't exist. A non-terminating and non-recurring decimal is an irrational number.

Answer:The perimeter of a rectangular atrium is 27 yards in width and 123 yards in length.

Step-by-step explanation:

Step 1

The perimeter of a rectangular atrium is given as 2( l+b)

The perimeter of a rectangular atrium is 300 yards.

Let the width be represented as x

such that the

The length of the garden which is ninety-six yards more than the width is expressed as x+ 96

and the expression to solve for length and width will now be

Step 2

Perimeter = 2(l+b) = 2l + 2b

300=2( x+96) + 2 x

300= 2x+ 192 + 2x

300= 192+ 4x

300-192=4x

108=4x

x=108/4

x=27

width = 27 yards

length = x+ 96= 27 +96=123 yards

Answer:

time = 70 minutes

Answer:

R(3) means that it has rained 3 millimeter and R(0.5)=14 means in 14 hours it has rained half a millimeter.

Step-by-step explanation:

The function R defines the amount of rain for a certain number of hours.

This function R can be represented as:

\(\mathbf{y = R(x)}\)

Where:

y represents the amount of rain, and x represents the time

So, the meaning of R(3) is:

The amount of rain in 3 hours

While the meaning of R(0.5) = 14 is:

The amount of rain in 0.5 hours is 14 millimeters

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Answer:

 185553.7 feet^3

Step-by-step explanation:

\( \LARGE{ \underline{ \tt{Required \: answer:}}}\)

We have to find the simplest ratio between length, breadth and the height.

Here,

Note:

So,

HCF of 10, 15 and 25 is 5. Cancelling with respect to 5.

Then, the ratio will be 2:3:5 (Option A)

⛱️ \( \large{ \blue{ \bf{FadedElla}}}\)

Step-by-step explanation:

if you divide everything by five you will get ur answer

Answer:

c = 12n

Step-by-step explanation:

Answer:

y = -3x + 1

Step-by-step explanation:

Since we already know the slope, we just need to find the y-intercept.

y = mx+b   (the slope is m)

y = -3x + b

-5 = -3(2) + b

-5 = -6 + b

1 = b

The equation is y = -3x + 1

Answer:

y = -3x + 1

Explanation:

Answer:

10

Step-by-step explanation:

2x2 - 3x

2x2 - 3(-2)

-3x-2 = 6

4+6=10

Answer:

Applying the formulae, (a+b)2+(a−b)2=2(a2+b2)

and (a+b)2−(a−b)2=4ab where a=5x;b=2

4×(5x)×22((5x)2+22)=1213

20x25x2+4=1213

On cross multiplying and simplifying,

75x2−65x+12=0

75x2−20x−45x+12=0

5x(15x−4)−3(15x−4)=0

(5x−3)(15x−4)=

x={53,154}={0.6,0.27}

Hence, m=0.6

you please do like this method

\(~~~~~~(5x+2)(5x-2)+(5x-2)(x-1)-(5x-2)^2 = 0\\\\\implies (5x-2)(5x+2+x-1-5x+2)=0\\\\\implies (5x-2)(x+3)=0\\\\\implies x+3 = 0~~ \text{or}~~ 5x -2 = 0\\\\\implies x = -3,~ x =\dfrac 25\)

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Explanation:

The 3y in the first equation must add to -3y so the y terms go away. We have -y in the second equation, which is why we triple everything in that equation

2x-y = 1 becomes 6x - 3y = 3 after tripling everything. This is the same as multiplying both sides by 3.

This is the updated equivalent system

\(\begin{cases}x+3y = 42\\6x-3y = 3\end{cases}\)

Add the terms straight down

We have the equation 7x = 45 which solves to x = 45/7.

Unfortunately it doesn't turn into a nice single whole number because 45 isn't a multiple of 7. So I would leave it as a fraction.

Optionally you could note that 45/7 = 6.42857 approximately. But I prefer the fraction form since it's most exact.  

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Use this x value to find y. Pick any equation involving x and y. Plug in that x value and solve for y.

x + 3y = 42

45/7 + 3y = 42

3y = 42 - 45/7

3y = 42*(7/7) - 45/7

3y = 294/7 - 45/7

3y = (294 - 45)/7

3y = 249/7

y = (249/7)*(1/3)

y = 83/7

Like with x, we also don't get a nice whole number.

I used WolframAlpha to confirm the solutions. GeoGebra is another tool you could use.