Jalen is trying to set a pole that is 10 feet long into the ground so that it is perpendicular with
the horizontal surface. Jalen locates a point 6 feet from the base of the pole, a C, and labels
it A He then measures the distance from point A to point What distance, to the nearest
tenth of a foot does Jalen need for the pole to be perpendicular? Justify,
10 font long board and an 18 foot long board. To make the ramp
isht triangle. How long should

Answer:

  ƒ(a + h) = 2(a^3 + 3a^2h + 3ah^2 + h^3)

Step-by-step explanation:

Put (a+h) in place of x and "simplify" the expression.

  f(x) = 2x^3

  f(a +h) = 2(a +h)^3 = 2(a^3 +3a^2h +3ah^2 +h^3) . . . . matches 1st choice

_____

It helps to know the expansion of a binomial:

  (a +b)^3 = a^3 +3a^2b +3ab^2 +b^3

Even if you don't, you can multiply it out.

 (a +b)^3 = (a +b)(a^2 +2ab +b^2) = a^3 +2a^2b +ab^2 +a^2b +2ab^2 +b^3

  = a^3 +3a^2b +3ab^2 +b^3

Answer:

Sorry if this is late, but it's 24mm2

Step-by-step explanation:

i got a 100 on the quiz

The area of the shaded region, if a smaller triangle is cut out a larger triangle is 24 mm²

An equation is an expression that shows the relationship between two or more number and variables.

Area of the larger triangle = (1/2) * 5 mm * 12 mm = 30 mm²

Area of the smaller triangle = (1/2) * 4 mm * 3 mm = 6 mm²

Area of shaded region = 30 mm² - 6 mm² = 24 mm²

The area of the shaded region, if a smaller triangle is cut out a larger triangle is 24 mm²

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Answer:

uh im not in that grade yet so ye

Step-by-step explanation:

It will take about 11.55 years to double his money.

Important information:

The formula for the amount in continuous compound interest is:

[tex]A=Pe^{rt}[/tex]

Where A is the amount, P is the principal, r is the rate of interest and t is time in years.

Substitute [tex]A=10000, P=5000,r=0.06[/tex].

[tex]10000=5000e^{0.06t}[/tex]

[tex]\dfrac{10000}{5000}=e^{0.06t}[/tex]

[tex]2=e^{0.06t}[/tex]

Taking ln on both sides, we get

[tex]\ln 2=\ln e^{0.06t}[/tex]

[tex]\ln 2=0.06t[/tex]

[tex]\dfrac{\ln 2}{0.06}=t[/tex]

[tex]t=11.55245[/tex]

[tex]t\approx 11.55[/tex]

Therefore, it will take about 11.55 years to double his money.

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Answer:

tbh im not sure but i think the answer is 30 ft

Step-by-step explanation:

you gave us nothing to go off of..no details or anything i was gonna say 7 until i realized b has no values

Answer:

422.389 cm

Step-by-step explanation:

First you have to find the area of the circle then subtract it by the area of the rectangle. To find the area of the circle you have to square the radius then multiply it by 3.14.(12×12=144, 144× 3.14=452.389) Therefore 452.389 cm is the area of the circle. Area of the rectangle 30cm.

452.389 -30=422.389

Answer:

tb i think its A

Step-by-step explanation:

Answer:

It is A

Step-by-step explanation:

Answer:

The replacing the grass will cost  Mr. Ishimoto $14.00.

Step-by-step explanation:

The area of a rectangular field is:

[tex]\text{Area}=\text{height}\times \text{base}[/tex]

It is provided that Mr. Ishimoto needs to replace the grass in the section of his lawn.

The grass section can be broken into 2 rectangles.

First rectangle: Base = 7 feet and Height = 3 feet.

Second rectangle: Base = 2 feet and Height = 7 feet.

Compute the area of both the rectangles as follows:

[tex]\text{Area}_{1}=\text{height}_{1}\times \text{base}_{1}\\=3\times 7\\=21[/tex]               [tex]\text{Area}_{2}=\text{height}_{2}\times \text{base}_{2}\\=7\times 2\\=14[/tex]

Now the cost of the new grass is $0.40 per square foot.

Compute the cost of replacing the grass in the first rectangular section as follows:

[tex]\text{Cost of new grass for section 1}=\text{Area}_{1} \times\$0.40\\[/tex]

                                                [tex]=21\times \$0.40\\=\$8.40[/tex]

Compute the cost of replacing the grass in the second rectangular section as follows:

[tex]\text{Cost of new grass for section 2}=\text{Area}_{2} \times\$0.40\\[/tex]

                                                [tex]=14\times \$0.40\\=\$5.60[/tex]

The total cost of replacing the grass is:

[tex]\text{Total cost}=\text{Cost of new grass for section 1}+\text{Cost of new grass for section 2}[/tex]

                [tex]=\$8.40+\$5.60\\=\$14.00[/tex]

Thus, the replacing the grass will cost  Mr. Ishimoto $14.00.

Answer

14.00

Step-by-step explanation:

Answer:

The probability that he selects a raisin bagel and then a plain bagel is [tex]\frac1{11}[/tex].

Step-by-step explanation:

Probability:

The ratio of the number of outcomes of favorable event to total number of all possible outcomes is called probability of the favorable event.

[tex]Probability=\frac{\textrm{The number of favorable outcomes}}{\textrm{Total number of all possible}}[/tex]

Given that, there are 4 blueberry, 6 raisins and 2 plain bangles in a bag.

Total number of bangles= (4+6+2)

                                        = 12

The probability that he selects a raisin

[tex]=\frac{\textrm{Number of raisin bangles}}{\textrm{Total number of bangles}}[/tex]

[tex]=\frac{6}{12}[/tex]

[tex]=\frac12[/tex]

Total number of remaining bagels is =(12-1)=11

After selecting a raisin  bagel,the probability that he selects a plain bangle is

[tex]=\frac{\textrm{Number of plain bangles}}{\textrm{Total number of bangles}}[/tex]

[tex]=\frac{2}{11}[/tex]

Selecting of a raisin bangle and a plain bangle are both independent event.

The probability that he selects a raisin bagel and then a plain bagel is

[tex]=\frac{1}2\times\frac{2}{11}[/tex]

[tex]=\frac1{11}[/tex]

Answer: Cross-Section of the prism perpendicular to base is equal to base area so the  base area is equal to 2*2=4 ft^2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

The given quadratic equation is expressed as

4x² + 2x = 7

The first step is to divide both sides of the equation by 4. It becomes

4x²/4 + 2x/4 = 7/4

x² + x/2 = 7/4

The next step is to add the square of half of the coefficient of x to both sides of the equation. It becomes

x² + x/2 + (1/4)² = 7/4 + (1/4)²

(x + 1/4)² = 7/4 + 1/16

(x + 1/4)² = 29/16

Taking square root of both sides of the equation, it becomes

x + 1/4 = ±√29/4

x = - 1/4 ± √29/4

x = (- 1 + √29)/4 or x = (- 1 - √29)/4

x = (- 1 + 5.385)/4 or x = (- 1 - 5.385)/4

x = 1.09625 or x = - 1.59625

Answer:

x = 12[tex]\sqrt{2}[/tex]

y = 12

z = 12[tex]\sqrt{3}[/tex]

Step-by-step explanation:

The triangle with z as one of it's sides is a 30, 60, 90 triangle where the longest side of the triangle is 2x, the shortest side as x, and the middle side as x*sqrt of 3.

The shared line between the two triangle is 12 and z is 12*sqrt of 3

The left triangle is a 45, 45, 90 triangle where the 2 sides that look the same are the same and the hypotenuse is x sqrt of 2 so y is 12 and x is 12 sqrt of 2

Answer:

x = [tex]12\sqrt{2}[/tex] units

y = 12 units

z = [tex]12\sqrt{3}[/tex] units

Step-by-step explanation:

Notice that the biggest triangle is broken up into a 45-45-90 isosceles triangle with hypotenuse x and leg y, as well as a 30-60-90 triangle with hypotenuse 24 and long leg z.

Let's focus on finding z first. Remember that in a 30-60-90 triangle, the ratio of the short leg to the long leg to the hypotenuse is: [tex]1:\sqrt{3} :2[/tex]. Here, the hypotenuse is 24 and z is the longest leg, so we have the proportion:

[tex]\frac{\sqrt{3} }{2} =\frac{z}{24}[/tex]

Cross-multiply:

[tex]24\sqrt{3} =2z[/tex]

z = [tex]12\sqrt{3}[/tex] units

Now, let's find the smallest leg of the 30-60-90 triangle; it is simply 24/2 = 12 units. Let's move onto x and y.

Remember that in a 45-45-90 triangle, the ratio of one leg to the second leg to the hypotenuse is: [tex]1:1:\sqrt{2}[/tex]. So, since y is a leg of this triangle and the smallest leg of the 30-60-90 triangle coincides with the second leg of the 45-45-90 triangle, y = 12 units.

Finally, x is found by multiplying 12 by [tex]\sqrt{2}[/tex]: 12 * [tex]\sqrt{2}[/tex] = [tex]12\sqrt{2}[/tex] units

Hope this helps!

Answer:

It is not reasonable

Step-by-step explanation:

We have a population of 150 and the person takes 10 data from the raccoons, if we take the average of these values, we are left with:

(17 +19 +20 +21 +23 +27 +28 +28+ 28 + 32) / 10 = 24.3

Therefore the inference of the average weight is to approximate up to 25.

This is NOT correct, since it cannot be approximated in this way first and also that the sample is not representative. 10 sample data of 150, which is the population, will give results with a very large margin of error and with a minimum level of confidence.

Therefore it is not reasonable.

Answer:

No

Step-by-step explanation:

Here we have the weights as follows

17, 19, 20, 21, 23, 27, 28, 28, 28, 32

Sum = 243 pounds

Sample size = 10

Which gives the average as 243/10 = 24.3

Therefore, since the average is a point estimate, and measure of central tendency, to give the average rounded up in error will impact on the description of the data as the average is closer to 24 than to 25.

Answer:

7 cans

Step-by-step explanation:

-The number of cans that can be fitted is obtained by dividing the volume of the shelf by the volume of an individual can.

-Volume of the shelf is calculated as below:

[tex]V_{shelf}=lwh\\\\=10\times10\times4\\\\=400\ in^3[/tex]

#We then divide by the volume of a can:

[tex]No \ of \ cans=\frac{V_{shelf}}{V_{can}}\\\\=\frac{400}{50.24}\\\\=7.96\approx 7\ cans[/tex]

We round down since the 8th can cannot properly fit.

Hence, only 7 cans will fit in the shelf

A shelf that is 10 inches tall and 10 inches wide can fit up to 4 cans of vegetables.

To determine how many cans of vegetables fit on Sam's shelf, we need to compare the dimensions of the shelf with the dimensions of the cans. Given:

We assume we stack the cans upright, which is the most common arrangement in a shelf. Each can occupies a 4-inch height. Therefore, we can stack:

10 inches / 4 inches = 2.5 cans

Since we cannot have half a can, we round down to 2 cans high. The shelf width allows for:

10 inches / 4 inches = 2.5 cans wide

Again, rounding down, 2 cans wide. Since we only have shelf dimensions in height and width (depth isn't mentioned, we'll assume a single layer in depth), the total number of cans that fit is:

2 (height) x 2 (width) = 4 cans

Answer: B. Y=7 straight horizontal line

Step-by-step explanation:

Answer:

B : y = 7 straight horizontal line

Step-by-step explanation:

On edge

Answer: 19 + 11 = 30 + 77 = 107 - 2/10 = 106.8

If you're confused by the fraction just do 2 divided by 10 and you should get 0.2.

So, instead of doing 2/10 you can do:

19 + 11 = 30 + 77 = 107 - 0.2 = 106.8

Have a good day!

The equation of the parabola opening up or down with a vertex at the origin and passing through the point (4,2) is y = 0.125x².

The equation of a parabola in vertex form is represented by y = a(x-h)² + k, where (h, k) is the vertex of the parabola, and 'a' is a coefficient that determines the direction and steepness of the parabola.

Since the vertex of the parabola in this case is at the origin (0, 0), the equation simplifies to y = ax²

We know the curve passes through the point (4,2), so we can substitute these values into the equation 2 = a(4)², which simplifies to 2 = 16a. Solving for 'a' gives us a = 2/16 or a = 0.125.

Thus, the equation of the parabola is y = 0.125x²

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The equation of a parabola with vertex at (0,0) passing through (4,2) is y = (1/8)x². This is derived by using the vertex form and solving for 'a'.

Equation of a Parabola in Vertex Form

The equation of a parabola in vertex form is given by:

y = a(x - h)² + k, where (h, k) is the vertex.

In this case, the vertex of the parabola is at (0, 0), so the equation simplifies to:

y = ax²

Since the parabola passes through the point (4, 2), we can substitute this point into the equation to find the value of 'a':

Substitute x = 4 and y = 2:

2 = a(4)²

2 = 16a

Solve for 'a': a = 2/16 = 1/8

Therefore, the equation of the parabola in vertex form is: y = (1/8)x²

Answer:

-13.5

Step-by-step explanation:

-4/3w=18

You would need to get the w by itself on one side so the easiest way to do so would be to divide both sides my -4/3.

This would give you an answer of w= -27/2 or w= -13.5

Answer:

1, 8.4

Unit rate: 8.4 feet per second

Step-by-step explanation:

To find the unit rate you divide the time by the distance, therefore with 8.4 it's easy to find the unit rate! :) Hope this helps! If it did, rate brainliest

Answer:

300 readers

Step-by-step explanation:

60/2=30

30X100=300

The total number of readers of a newspaper based on the percentage of people who wrote letters to the editor are 3000.

The number of readers the newspaper has is:

Number of readers = (60 / 0.02) = 3000 readers

Therefore, the newspaper has 3000 readers.

Answer:

33 Points

Step-by-step explanation:

We can figure out that the total number of points scored by the team is 38+45+49=132. Since we know that Caitlin scored 1/4 of these total points, and 1/4 of 132=33, then she scored 33 points during the first three games.

Answer:

60

Step-by-step explanation:

Take the function's first derivative

C'(b) = 0.12b -7.2

7.2 = 0.12b

b = 7.2 / 0.12

b = 60

Second derivative test

C''(b) = 0.12 (+).

for all values of b, the graph will be concave downwards, therefore is value is confirmed to be a minimum

Answer:

The answer is 9.42, Yash :) ~Anusri

Step-by-step explanation:

Basically, you can set up two proportions (one for each concentric circle).

x/25pi=45/360 will get you an area of 9.81 for the smaller circle and x/49pi=45/360 will get you an area of 19.4225 for the larger circle. Subtract those and get 9.42.

Have fun Yash

To find the area of the shaded region, subtract the area of the smaller circle from the area of the larger circle.

To find the area of the shaded region, we need to subtract the area of the smaller circle from the area of the larger circle.

The formula to find the area of a circle is pi * r^2, where pi is approximately 3.14 and r is the radius of the circle.

Let's assume the radius of the larger circle is 4 units and the radius of the smaller circle is 3 units. The area of the larger circle is 3.14 * 4^2 = 50.24 square units, and the area of the smaller circle is 3.14 * 3^2 = 28.26 square units.

Therefore, the area of the shaded region is 50.24 - 28.26 = 21.98 square units.

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Answer:

Circle

Step-by-step explanation:

We have been given a definition and we have to identify this definition belongs to which shape.

Think of a shape which has a well defined center and all the points on its boundary are at an equal distance from the center. Only one such shape exists i.e. Circle.

The boundary of a circle is its Circumference. Each point on the circumference of a circle is at an equal distance from the center of the circle and this distance is known as the Radius of the Circle.

Therefore, the answer to this question is Circle.

Answer:

0.9264999239

Step-by-step explanation:

chance that first battery that is being checked works is 195/200

chance that second battery that is being checked works is 194/199

chance that third battery that is being checked works is 193/198

propabilty that the clerk ships the order is (195/200)×(194/199)×(193/198)

=0.9264999239

The inequality is : 0.6x > 6000. The graph of the solution is : open circle at 10,000; arrow right

Thats the right answer it told me

Answer:

The inequality is

✔ 0.6x > 6000

.

The graph of the solution is

✔ open circle at 10,000; arrow right

Step-by-step explanation:

Only 3 years late ;)