Alicia had 418 tons of gravel spread evenly across 216 acres of land. How many tons of gravel are on each acre?

The distance between third base and the pitcher's mound is roughly 80.0 feet.

The Pythagorean theorem can be used to resolve this issue.

The pitcher's mound and third base can be thought of as the two ends of a right triangle in this situation, with home plate and third base serving as the hypotenuse. One of the triangle's legs is the distance between home plate and the pitcher's mound.

Let's call the distance between the pitcher's mound and third base "x". Then we can set up the following equation:

\(60.5^2 + x^2 = 90^2\)

Simplifying and solving for x, we get:

\(x^2 = 90^2 - 60.5^2\)

\(x^2 = 6406.25\)

x ≈ 80.0

Therefore, the distance between third base and the pitcher's mound is roughly 80.0 feet.

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The author of the review is disappointed with the meatball sub casserole recipe posted on Recipe Masters, which did not turn out well despite following the recipe.

The author recommends that others should not attempt to make the recipe and believes that Recipe Masters should ensure that their posted recipes are reliable and thoroughly tested. The author also implies that the quality of the recipes on Recipe Masters is not as advertised, which could potentially lead subscribers to lose faith in the service and seek out free recipe sites instead.

Therefore, a suitable summary of the author's point of view would be: The author is dissatisfied with the meatball sub casserole recipe on Recipe Masters, which did not work out well and believes that Recipe Masters should provide reliable, thoroughly tested recipes as advertised.

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The expected count of arrivals to the second compartment is 200.

To calculate the expected count of arrivals to the second compartment, we first need to assume that the rats have an equal chance of going to each compartment.

Since there are 5 compartments, the probability of a rat going to any compartment is 1/5.
Next, we multiply the total number of trials (1000) by the probability of going to the second compartment (1/5).
Expected count for compartment #2 = (Total trials) × (Probability of going to compartment #2)
Expected count for compartment #2 = 1000 × (1/5)
Now, we calculate the result:
Expected count for compartment #2 = 1000 × 0.2
Expected count for compartment #2 = 200.

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Factorize completely,

35 x y - 5 x - 56 y + 8

= 5 x ( 7 y - 1 ) -8 ( 7 y - 1 )

= ( 7y - 1 ) ( 5 x - 8 )

Answer:

x= 36 and y= 9

Step-by-step explanation:

because I said so. jk math

Answer:

x-intercept: 36

y-intercept: 9

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the x-intercept

\(x + 4y = 36\)

Plug in 0 for y

\(x + 4(0) = 36\\x=36\)

Therefore, the x-intercept is 36.

2) Determine the y-intercept

\(x + 4y = 36\)

Plug in 0 for x

\(0 + 4y = 36\\4y = 36\)

Divide both sides by 4

\(y=9\)

Therefore, the y-intercept is 9.

I hope this helps!

Answer:

y=-1/4x+5/4

Step-by-step explanation:

M is equal to the X in the middle of the equation. B is equal to the Y Intercept. Hope this helps! If you're still having trouble understanding this, I would look up "Slope Intercept Equations" on (Y o u t u b e) and watch a video about it.

Step-by-step explanation:

For some side x, we are given two angles so let use law of sines

We don't know the angle opposite of the x side so we using the triangle interior property

\(120 + 51 + x = 180\)

\(x = 9\)

So the missing angle is 9.

The law of sines formula is that

\( \frac{a}{ \sin( \alpha ) } = \frac{b}{ \sin( \beta ) } \)

where a and b are side lengths.

And alpha, and Beta are angles that are OPPOSITE of the side lengths, a and b, respectively

Let a be 25,

therefore alpha is 120

Let b be x,

therefore beta is 9.

\( \frac{25}{ \sin(120) } = \frac{x}{ \sin(9) } \)

Solving for x.

\(25 \times \frac{ \sin(9) }{ \sin(120) } = x\)

\(x = 4.51587\)

Round if needed so our answer is

\(x = 4.5\)

Answer:

10.8°degrees

Step-by-step explanation:

please click the heart and rate excellent and brainleist to ❤☺️☻♨️♨️☻☺️❤

Answer:

3

Step-by-step explanation:

She has no more to spend than $55, which means the starting equation is:
x<=55.

She wants to buy ONE pair of pants, which means that you have to subtract 55 by 19.95.

55-19.95=35.05;

x<=35.05;

Each t-shirt costs 9.5 each, which means the equation is now

9.5x<=35.05

Which, if you divide by 9.5 on both sides, is

x<=3.68947368.

So, at most, she can buy 3 shirts.

Answer:

28. B

29. D

30. A

Step-by-step explanation:

28.

2 5/8 yd × 5/6 yd =

= 21/8 × 5/6 yd²

= 105/48 yd²

= 35/16 yd²

= 2 3/16 yd²

Answer: B

29.

2641 becomes 6241.

In 6241, the 6 is in the thousands place.

6 × 1000 = 6000

Answer: D

30.

90 + 7 × (7 - 1) =

Use the correct order of operations.

= 90 + 7 × 6

= 90 + 42

= 132

Answer: A

Answer:

5

Step-by-step explanation:

3(2x+1)=7x-2

6x + 3 = 7x - 2

6x - 7x = -2 - 3

-x = -5 /(-1)

x = 5

Answer:

5

Step-by-step explanation:

3 ( 2x + 1 ) = 7x - 2

Step 1 : Remove the parentheses

6x + 3 = 7x - 2

Step 2 : Move the variable to the left-hand side and move extra number the right-hand side

6x + 3 = 7x - 2

-7x  -3   -7x  -3

6x - 7x = -2 - 3

Step 3 : Combine like terms

-x = -5

Step 4 : Change the sign to make x positive

x = 5

SOLUTION : x = 5

Hope this helps :)

Answer:

a. 0.158

b. 0.01942

Step-by-step explanation:

For part a we define probability that the randomly selected person is if 65 years or more than that

a.

Probability of under age = 22.8% = 0.228

Probability of those from age 18 to 64 = 61.4% = 0.614

1-0.228-0.614

= 0.158

b.

P(uninsured) = p(those not up to 18) * p(those uninsured or under 18) + p(those age 18-64) * p(uninsured or under 18) + p(being 64plus) x P(uninsured or 64 plus)

= 0.228 x 0.051 + 0.614 x 0.124 + 0.158 x 0.011

= 0.011628 + 0.076136 + 0.001738

=0.089502

P(65 of older|uninsured) = p(64+) x P(uninsured or 64 plus)

= 0.157 x 0.011/0.089502

= 0.001738/0.089502

= 0.01942

a. The probability that a randomly selected person in the United States is 65 or older is 0.158

b. In the case when the person is  an uninsured American so the probability is 0.01942

a.

Since

Probability of under age = 22.8% = 0.228

And,

Probability of those from age 18 to 64 = 61.4% = 0.614

So, the probabilities of 65 or older is

= 1 - 0.228-0.614

= 0.158

b.

Now

P(uninsured) = p(those not up to 18) × p(those uninsured or under 18) + p(those age 18-64) × p(uninsured or under 18) + p(being 64plus) × P(uninsured or 64 plus)

= 0.228 × 0.051 + 0.614 × 0.124 + 0.158 × 0.011

= 0.011628 + 0.076136 + 0.001738

=0.089502

So,

P(65 of older|uninsured) = p(64+) × P(uninsured or 64 plus)

= 0.157 × 0.011 ÷ 0.089502

= 0.001738 ÷ 0.089502

= 0.01942

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9514 1404 393

Answer:

  about 24.58 m/s

Step-by-step explanation:

Multiply by conversion factors that change the units, but not the value.

  (55 mi/h) × (1609 m/mi) × (1 h)/(3600 s) = (55×1609/3600) m/s

  = 88495/3600 m/s ≈ 24.58 m/s

_____

Additional comment

The exact conversion uses 1609.344 meters per mile, so gives exactly 24.5872 m/s.

The area of a circle is given by the following formula

Where r represents the radius of the circle.

Since the given circle has a radius equal to 7cm, the area is

The area of this circle is 49π cm².

Joel be not able to make a right triangle with his fence because the given dimensions are not satisfying for Pythagoras theorem.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Dimensions of triangle he has to use for fencing are

15 feet, 8 feet, and 20 feet.

For making it a right triangle it must satisfy the "Pythagoras theorem" which states that

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

H²=B²+P²

20²=15²+18²

400=225+64

400≠289

No, it will not be able to make a right triangle.

Hence, Joel will be not able to make a right triangle with his fence because the given dimensions are not satisfying for pythagoras theorem.

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The complete question is given below:

Joel wants to fence off a triangular portion of his yard for his chickens. The three pieces of fencing he has to use are 15 feet, 8 feet, and 20 feet long.

1. Will he be able to make a right triangle out of his fence? Why or why not?

Answer:

152.3

Step-by-step explanation:

area of a parralellogram is L×B

since a degree is given

it will make it

sin 65×14×12

sin 65=0.9063

so 0.9063×14×12

=152.3

Answer:

so u need to put ur laptop in the microwave

Step-by-step explanation:

then u wont NEED to do school bc u cant

we have the function

Interval -----> (0, pi/2)

Using a graphing tool

see the attached figure below

Part 1

Intercepts ---------> DNE

Part 2

Relative minimum --------> (pi/4,5.657)

Part 3

Relative maximum -------> DNE

Part 4

point of inflection ------> DNE

Part 5

equation of asymptotes

Vertical asymptotes at

x=0 and x=pi/2

The given trigonometric expression sin⁻¹(-3√(2)/2) in radians is approximately -2.2143 radians.

As we know that sin⁻¹(x) = -cos⁻¹(x) + π/2, which is the angle in the fourth quadrant whose cosine is 3sqrt(2)/2.

We have:

cos²θ + sin²θ = 1

Since sine is negative and cosine is positive, we know that:

sinθ = -sqrt(1 - cos²θ)

Substituting cosθ = 3√(2)/2, we get:

sinθ = -√(1 - (3√(2)/2)²) = -√(1 - 9/8) = -√(1/8) = -√(2)/2

Therefore, sin^(-1)(-3sqrt(2)/2) = -cos^(-1)(3sqrt(2)/2) + π/2.

Since cosine is positive in the fourth quadrant, we have:

cos⁻¹(3√(2)/2) = π/4

Substituting this value, we get:

sin⁻¹(-3√(2)/2) = -π/4 + π/2 = π/4

Therefore, sin⁻¹(-3√(2)/2) in radians is approximately -2.2143 radians.

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Answer:

Bottom left

Step-by-step explanation:

Mark brainliest please

Yes, Lara is correct.

The steps are as follow:

So Lara is correct

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Answer:

Y = 5

Step-by-step explanation:

Correct answer: y = 5

By cross multiplication, you multiply 21 × 10, which is 210. Then, you divide 210 by 42, which is 5.

Answer:

4h55m57.69ssss

Step-by-step explanation:

2,25×114÷52

Answer:

Step-by-step explanation:

90/n

From calculations, the numbers of each type we should make are;

4 plain burgers

2 double burgers

5 regular burgers

Let us denote each of the types of the hamburgers as;

Plain burgers is p

double cheeseburgers is d

regular cheeseburgers is r

Thus;

For Beef patty, the equation is;

p + 2d + r = 13  -----(1)

For buns, the equation is;

p + d + r = 11   ------(2)

For cheese, the equation is;

0 + 2d + r = 9   -----(3)

Solving these three equations simultaneously using an online calculator gives;

p = 4; d = 2; r = 5

From calculations, the numbers of each type we should make are;

4 plain burgers

2 double burgers

5 regular burgers

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Answer:

x=18.2

y=21.7

(18,21)

Step-by-step explanation:

−20x + 15y = −40

20x − 8y = 192

       7y=152

       y=21.7

y=21.7 , -20x+325.5=-40

            -20x=-365.5

                 x=18.2

The period of the sound wave created by the tuba is approximately 0.0134 seconds.

The speed of sound in air is given as 343 meters per second. The formula relating the speed of sound, wavelength, and period of a wave is:

v = λ × f

Where:

v = speed of sound (343 m/s)

λ = wavelength (4.61 m)

f = frequency (unknown)

To find the period, we need to determine the frequency of the sound wave. The period (T) is the reciprocal of the frequency (f), so we can rewrite the formula as:

v = λ / T

Rearranging the equation to solve for the period (T), we get:

T = λ / v

Substituting the given values, we have:

T = 4.61 m / 343 m/s

Calculating the value, we find:

T ≈ 0.0134 seconds

Therefore, the period of the sound wave created by the tuba is approximately 0.0134 seconds.

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The solution to the inequality f(x²-2) < f(7x-8) over D₁ = (-∞, 2) is:

-∞ < x < 1 or 1 < x < 6 or 6 < x < 2

Given the inequality,

    f(x²-2) < f(7x-8) over D₁ = (-∞, 2)

We need to find the values of x that satisfy this inequality.

Since we know that f is increasing over its domain, we can compare the values inside the function to determine the values of x that satisfy the inequality.

First, we can find the values of x that make the expressions inside the function equal:

x² - 2 = 7x - 8

Simplifying, we get:

x² - 7x + 6 = 0

Factoring, we get:

(x - 6)(x - 1) = 0

So the values of x that make the expressions inside the function equal are x = 6 and x = 1.

We can use these values to divide the domain (-∞, 2) into three intervals:

-∞ < x < 1, 1 < x < 6, and 6 < x < 2.

We can choose a test point in each interval and evaluate

f(x² - 2) and f(7x - 8) at that point. If f(x² - 2) < f(7x - 8) for that test point, then the inequality holds for that interval. Otherwise, it does not.

Let's choose -1, 3, and 7 as our test points.

When x = -1, we have:

f((-1)² - 2) = f(-1) < f(7(-1) - 8) = f(-15)

Since f is increasing, we know that f(-1) < f(-15), so the inequality holds for -∞ < x < 1.

When x = 3, we have:

f((3)² - 2) = f(7) < f(7(3) - 8) = f(13)

Since f is increasing, we know that f(7) < f(13), so the inequality holds for 1 < x < 6.

When x = 7, we have:

f((7)² - 2) = f(47) < f(7(7) - 8) = f(41)

Since f is increasing, we know that f(47) < f(41), so the inequality holds for 6 < x < 2.

Therefore, the solution to the inequality f(x²-2) < f(7x-8) over D₁ = (-∞, 2) is:

-∞ < x < 1 or 1 < x < 6 or 6 < x < 2

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Complete Question

The complete question is shown on the first uploaded image

Answer:

a

   C

b

    C

c

    C

d  

     A

Step-by-step explanation:

From the question we are told that

    The population mean is  \(\mu = 0.5 \ in\)

Generally the Null hypothesis is  \(H_o : \mu = 0. 5 \ in\)

                The Alternative hypothesis is  \(H_a : \mu \ne 0.5 \ in\)

Considering the parameter given for part a  

       The sample size is  n =  15  

        The  test statistics is  t =  1.66

        The level of significance \(\alpha = 0.05\)

The degree of freedom is evaluated as

            \(df = n- 1\)

           \(df = 15- 1\)

           \(df = 14\)

Using the critical value calculator at (social science statistics web site )  

           \(t_{\frac{\alpha}{2} ,df } = t_{\frac{0.05 }{2} ,14} = 2.145\)

We are making use of this  \(t_{\frac{\alpha }{2} }\) because it is a one-tail test

Looking at the value of  t and \(t_{\frac{\alpha }{2} }\) the we see that  \(t < t_{\frac{\alpha }{2} }\) so the null hypothesis would not be rejected

Considering the parameter given for part b  

       The sample size is  n =  15  

        The  test statistics is  t =  -1.66

        The level of significance \(\alpha = 0.05\)

The degree of freedom is evaluated as

            \(df = n- 1\)

           \(df = 15- 1\)

           \(df = 14\)

Using the critical value calculator at (social science statistics web site )  

           \(t_{\frac{\alpha}{2} ,df } = t_{\frac{0.05 }{2} ,14} = -2.145\)

Looking at the value of  t and \(t_{\frac{\alpha}{2} ,df }\) the we see that t does not lie in the area covered by  \(t_{\frac{\alpha}{2} , df }\) (i.e the area from -2.145 downwards on the normal distribution curve ) hence we fail to reject the null hypothesis

Considering the parameter given for part  c

       The sample size is  n =  26  

        The  test statistics is  t =  -2.55

        The level of significance \(\alpha = 0.01\)

The degree of freedom is evaluated as

            \(df = n- 1\)

           \(df = 26- 1\)

           \(df = 25\)

Using the critical value calculator at (social science statistics web site )  

           \(t_{\frac{\alpha}{2} ,df } = t_{\frac{0.01 }{2} ,25} = 2.787\)

Looking at the value of  t and \(t_{\frac{\alpha }{2} }\) the we see that t does not lie in the area covered by  \(t_{\alpha , df }\) (i.e the area from -2.787 downwards on the normal distribution curve ) hence we fail to reject the null hypothesis

Considering the parameter given for part  d

       The sample size is  n =  26  

        The  test statistics is  t =  -3.95

        The level of significance \(\alpha = 0.01\)

The degree of freedom is evaluated as

            \(df = n- 1\)

           \(df = 26- 1\)

           \(df = 25\)

Using the critical value calculator at (social science statistics web site )  

           \(t_{\frac{\alpha}{2} ,df } = t_{\frac{0.01 }{2} ,25} = -2.787\)

Looking at the value of  t and \(t_{\frac{\alpha}{2} }\) the we see that  t  lies in the area covered by  \(t_{\alpha , df }\) (i.e the area from -2.787 downwards on the normal distribution curve ) hence we  reject the null hypothesis