Prudence is creating a garden in her backyard. She wants it to be the shape of an equilateral triangle with sides of length 20 feet. What will be the area of this triangular garden? Round your answer to the nearest whole foot.

Answer:

True

Step-by-step explanation:

we know that

The volume of a cone is equal to

[tex]V=\frac{1}{3}BH[/tex]

where

B is the area of the base

H is the height of the cone

we have

[tex]B=7\ in^{2}[/tex]

[tex]H=9\ in^{2}[/tex]

substitute

[tex]V=\frac{1}{3}(7)(9)[/tex]

[tex]V=21\ in^{3}[/tex]

therefore

The answer is True

Answer:

y = -x + 2

Step-by-step explanation:

We first need to find the derivative of the equation x² + xy + y² = 3. this is done with implicit differentiation

2x + y + xy' + 2yy' = 0

Get terms with y' to one side, and the other terms to the other side of the equals sign...

xy' + 2yy' = -2x - y

Factor out y'...

y'(x + 2y) = -2x - y

Divide both sides by x + 2y

y' = (-2x - y)/(x + 2y)

This is the formula for the slope of the lines tangent to the curve of the original function.

Plug in the given point (1, 1) to find the slope of this

y' = (-2[1] - 1)/(1 + 2([1])

y' = -3/3

y' = -1

To find the equation of the line:

The general form for a linear equation in slope-intercept form is  

y = mx + b where m is the slope and b is the y-intercept

Use what we know about our line to solve the rest. By using one of the given points, we have 3 of the 4 variables in the above equation. Pick either point, it doesn't matter which one. We'll use (1, 1), which is (x, y), and we know that  

m = -1

The equation becomes...

1 = -1(1) + b (now solve for b)

1 = -1 + b

2 = b  

Plug that value into the general form...

y = -x + 2

See attached photo for the graphs of the original equation, and the graph of the tangent line at (1, 1)

Answer:

No se, lo siento

Step-by-step explanation:

Answer:

noswe:C  perdon  

Step-by-step explanation:

Answer:

Charles spend [tex]20\%[/tex] of his money on the hot dog

Step-by-step explanation:

In this problem we have that

$15 represent the 100% o the money

so

using proportion

Find out what percentage 3 dollars represents

[tex]\frac{15}{100}=\frac{3}{x}\\ \\x=100*3/15\\ \\x=20\%[/tex]

Answer:

Step-by-step explanation:

The formula for the volume of a cone is V = (1/3)(area of base)(height).  If the radius is always equal to the height of the cone, then V = (1/3)(πh²)(h), where we have eliminated r.  Shortened, this comes out to V = (1/3)(π)(h³).  

We want to know how fast h is increasing when h = 3 ft.

Taking the derivative dV/dt, we get dV/dt = (1/3)π(3h²)(dh/dt), or, in simpler terms, dV/dt = πh²(dh/dt).  Set this derivative = to 27 ft³/min and set h = 3 ft.

Then 27 ft³/min = π(3 ft)²(dh/dt) and solve for dh/dt:  (3/π) ft/min = dh/dt when h = 3 ft.

Answer:  1) 0.10

               2) 0.60

               3) 0.20

               4) 0.10

Step-by-step explanation:

The total frequency is 20+120+40+20 = 200.  This means they ran the experiment 200 times.  The probability distribution is calculated by the satisfactory number of outcomes (frequency) divided by the total number of experiments/outcomes (total frequency):

[tex]\begin{array}{c|c||lc}\underline{x}&\underline{f}&\underline{f\div 200}&\underline{\text{Probability Distribution}}\\1&20&20\div200=&0.10\\2&120&120\div 200=&0.60\\3&40&40\div 200=&0.20\\4&20&20\div 200=&0.10\end{array}\right][/tex]

Answer:

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Step-by-step explanation:

dsafdasfdasdfasghdfsghdfshdfashndsfgndfgadgbadfgbafddryhbbgdrfbdf

The value of Kayleigh's investment in 7 years is approximately $930.05.

To find the value of Kayleigh's investment in 7 years, we can use the given equation A = d(1.005)^12t. Let's substitute the values: d = $850, t = 7.

Plugging in these values, we have A = 850(1.005)^(12*7).

Evaluating the expression, the value is approximately $930.05 when rounded to the nearest cent.

This implies that Kayleigh's initial investment of $850, compounded monthly at a rate of 0.5%, will grow to around $930.05 after 7 years.

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ANSWER

B. 700 units^2

EXPLANATION

The surface area of the pyramid is the area of the four triangular faces plus the area of the square base.

The area of the four triangular faces is

[tex] = 4 \times \frac{1}{2} \times bh[/tex]

We substitute b=14 and h=18.

[tex] = \frac{1}{2} \times 14 \times 18 \times 4[/tex]

[tex] =504 {units}^{2} [/tex]

The area of the square base

[tex] = {14}^{2} = 196 {units}^{2} [/tex]

The surface area of the pyramid is

[tex] = 196 + 504 = 700 {units}^{2} [/tex]

Answer:

Answer is B me compadres!

Step-by-step explanation:

Yes indeed

Based on the supply-demand graph,  valid possible price for the coffee makers is $25.

The supply-demand graph is a graph that is made up of a demand curve and a supply curve. A demand curve relates the price of a good to the quantity demanded. It is downward sloping. A supply curve relates the price of a good to the quantity supplieed. It is upward sloping.

In order to detemine the price, examine the graph and find the region where total worth is about $375. Looking at the graph, price is $15 becuase total worth is $375(25 x 15)

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Answer:

196

Step-by-step explanation:

edg 21

The formula for the surface area of a sphere is explained step by step using the given diameter to calculate the surface area in terms of pi. The result is that the surface area of the sphere with a 14 ft diameter is 196π ft².

To calculate the surface area of a sphere:

Therefore, the surface area of the sphere with a diameter of 14 ft is 196π ft².

Answer:

14 square units

Step-by-step explanation:

There are several ways we can find the area.  Probably the easiest is to cut the kite in half vertically and find the area of each triangle.  The area of the kite will be double that.

The height of the kite is 7 units, and the width is 4 units.  So each triangle will have a base of 7 and height of 2.

A = 1/2 bh

A = 1/2 (7) (2)

A = 7

The area of the kite is double that, so:

2A = 14

The area of kite WXYZ in the coordinate plane given is: C. 14 square units.

Area of a kite = pq/2, where p and q are the diagonal lengths of the kite.

The dimensions of the kite are:

Area of the kite = (7×4)/2

Area of the kite = 14 square units

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Alright first get the sector formula which is

(3.14)(r)^2(measure of the degrees / 360) now plug it in the formula

(3.14)(8.91)^2(81/360)

3.14 x 79.4 x 81 = 20,194.596/360 = 56.1 cm squared and that I believe should be the answer to that :)

Final answer:

In this Biology question, a veterinarian is investigating the possible causes of enteroliths in horses and suspects that feeding alfalfa may be responsible. She conducted a study to estimate the proportion of horses with enteroliths who are fed two or more flakes of alfalfa per day.

Explanation:

The subject of this question is Biology. The veterinarian is investigating the possible causes of enteroliths in horses and suspects that feeding alfalfa may be to blame. She wants to estimate the proportion of horses with enteroliths who are fed at least two flakes of alfalfa per day.

She conducted a study where she sampled 62 horses with enteroliths and found that 42 of them are fed two or more flakes of alfalfa. She estimates the standard error to be 0.0594.

For this case we have to:

Lewis carries 2 liters of water

Garret carries 1 liter of water

So, Lewis has 1 liter of water more than Garret.

By definition we have that 1 liter equals 1000 milliliters.

Thus, Lewis carries 1000 milliliters more water than Garret.

Answer:

1000 milliliters

ANSWER

D. 6

EXPLANATION

We want to find the y-coordinate of the point of intersection of

-3x+2y=6

and

4x-y=2

Solve for y in equation (2) to get:

y=4x-2

Put y=4x-2 into the first equation:

-3x+2(4x-2)=6

-3x+8x-4=6

-3x+8x-4=6

[tex]5x=10[/tex]

Divide both sides by 5 to get

x=2

This implies that:

y=4(2)-2

y=8-2=6

Answer:

144 sweets

Step-by-step explanation:

Let

x----> number of sweets that Dan has

y----> number of sweets that Gordon has

z----> number of sweets that Malachy has

we know that

x=48

x/y=4/3----> y/x=3/4 ----> y=(3/4)x

Substitute the value of x

y=(3/4)48=36

x/z=4/5 ----> z/x=5/4 ----> z=(5/4)x

Substitute the value of x

z=(5/4)48=60

therefore

altogether there are  x+y+z=48+36+60=144 sweets

Answer:

Step-by-step explanation:

-8 + 6(b - 1) =  -8 +6b-6 = 6b -14

The simplified expression is now 6b - 14.

To simplify the expression -8 + 6(b - 1), you need to distribute the 6 to both terms inside the parentheses and then combine like terms. Here's the step-by-step process:

Multiply 6 by both b and -1 inside the parentheses: 6 * b gives 6b, and 6 * -1 gives -6.

Write out the new expression without the parentheses: -8 + 6b - 6.

Combine the like terms, which are the constants -8 and -6: -8 - 6 equals -14.

The simplified expression is now 6b - 14.

Answer:

The length of the hypotenuse is 4.1 in

Step-by-step explanation:

By definition, the sine of an angle is:

[tex]sin(x) = \frac{opposite\ side}{hypotenuse}[/tex]

In this case they tell us that the opposite side measures 4 inches and the angle x measures 80 °.

With this information we can find the length of the hypotenuse h

[tex]sin(80\°) =\frac{4}{h}\\\\h = \frac{4}{sin(80\°)}\\\\h = 4.062\ in[/tex]

Finally the length of the hypotenuse is 4.1 in

Answer:

B: 4.1 in.

Step-by-step explanation:

on edge! hope this helps!!~ ⊂((・▽・))⊃

Answer:

5,5

Step-by-step explanation:the slope is going up 1 and to the right 3 3/1

Answer:

Step-by-step explanation:

5,5 that is the answer my frienddd

Answer:

Shifts the graph left 2, would look like  

(x+2)^2

Step-by-step explanation:

Answer: D.

Step-by-step explanation: Your Answer Is D. This Does Not Represent A Function.

A table that does not represent a function include the following; D. table D.

In Euclidean Geometry, a function refers to a mathematical expression which is used for defining and representing the relationship that exists between two or more variables such as an ordered pair.

This ultimately implies that, a function is typically used in mathematics for uniquely mapping an input variable (Set P) to an output variable (Set Q).

In this context, we can logically deduce that table D does not represent a function because the same input value is mapped to different output values;

0 ↔ -1

0 ↔ 4

0 ↔ 6

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ANSWER

[tex]p = - 2[/tex]

EXPLANATION

The given equation is

[tex]x = - \frac{1}{8}{y}^{2} [/tex]

Multiply both sides by -8

[tex] \implies \: {y}^{2} = - 8x[/tex]

We now compare this to the general equation of the parabola:

[tex] {y}^{2} = 4px[/tex]

This implies that,

[tex]4p = - 8[/tex]

Divide both sides by 4.

[tex]p = \frac{ - 8}{4} [/tex]

[tex]p = - 2[/tex]

Answer:

Y=-3x+4

Step-by-step explanation:

The Slope is -3 and the Y intercept is +4

Answer:

-3

Step-by-step explanation:

We can find the slope of a line by finding 2 points

(0,4) and (2,-2) are two points on the line

m = (y2-y1)/(x2-x1)

   = (-2-4)/(2-0)

   = -6/2

   =-3

Answer:

Step-by-step explanation:

Let x represent the amount (in ounces) of 24% alloy in the mix. Then the amount of 12% alloy is (50 -x). The amount of silver in the mix is ...

  24%·x + 12%·(50 -x) = 21%·50

  12x = 450 . . . . . . simplify, multiply by 100 (to eliminate %), and subtract 600

  x = 37.5 . . . . . . . divide by 12

The jeweler needs to mix 37.5 ounces of 24% silver alloy with 12.5 ounces of 12% silver alloy to make 50 ounces of 21% silver alloy.

Answer:

[tex]g(x)=8(2^x)[/tex]

Step-by-step explanation:

Here we are given with parent function [tex]f(x)=2^x[/tex] and the graph which shows that the function g(x).

We are asked to guess the function g(x).

We are given the two coordinates on g(x)

(0,8) and (2,32)

Hence for x = 0 , g(x)= 8

And for x=2, g(x)= 32

Let us say that the translated function is represented by

[tex]g(x)=a2^x+b[/tex]

[tex]g(0)=a\times 2^0+b[/tex]

Hence

[tex]a \times 2^0+b=8[/tex]

[tex]a +b=8[/tex] --------------- (i)

also

[tex]g(2)=32[/tex]

Hence

[tex]a\times 2^2+b=32[/tex]

[tex]4a+b=32[/tex] -------------------(ii)

Subtracting (i) from (ii) we get

[tex]3a=34[/tex]

Hence a = 8

Now putting this value of a in (i)

[tex]8+b=8[/tex]

B=0

Hence [tex]g(x)=8 \times 2^x +0[/tex]

[tex]g(x)=8(2^x)[/tex]

The area of w is 289 pi m². Find the circumference of w A. c=17 pi m B. c= 34 pi m C. c=68 pi m D. c=289 pi m

Answer: 34 pi

Step-by-step explanation:

Answer:

  7:30 pm

Step-by-step explanation:

The difference in speed is 20 mph, half as fast as the truck's speed. This is the speed at which the gap is closed. So, the head start that the truck has will be closed in a time after the car started that is twice as long as the time before the car started. That is, they will meet at ...

  10:00 + 3:10 + 2×3:10

  = 13:10 + 6:20 = 19:30 . . . . . 7:30 pm

Answer:

7:30 pm that is the answer i solved it

Answer: hey, the answer will be choice number 2 or b

Step-by-step explanation:

For this case we have that, by definition, the volume of a cylinder is given by the following formula:

[tex]V = \pi * r ^ 2 * h[/tex]

Where do we have to:

A: It's the radio

h: It's the height

We have to:

[tex]h = 3\\r = 8[/tex]

Substituting the values we have:

[tex]V = \pi * (8) ^ 2 * 3\\V = \pi * 64 * 3\\V = 192 \pi \ units ^ 3[/tex]

Answer:

Option C

Use Pythagorean theorem

[tex]y=\sqrt{6+10}=\boxed{4}[/tex]

You can solve this using Pythagorean theorem

[tex]\sqrt{10^{2} -6^{2} }[/tex] = 8

Answer:

  B.  1/392 cubic yard

Step-by-step explanation:

The volume is the product of base area and height:

  V = Bh = (1/28 yd²)·(1/14 yd) = 1/(28·14) yd³ = 1/392 yd³

Answer:

B. 1/392 cubic yard

Step-by-step explanation:

Given,

The base area of the pillar, B = [tex]\frac{1}{28}[/tex] square yard ,

Its height, h = [tex]\frac{1}{14}[/tex] yd

Thus, the volume of the pillar would be,

[tex]V=B\times h[/tex]

[tex]=\frac{1}{28}\times \frac{1}{14}[/tex]

[tex]=\frac{1}{28\times 14}[/tex]

[tex]=\frac{1}{392}\text{ square yard}[/tex]

Since, the concrete he needs to cast the pillar = Volume of the pillar

= [tex]\frac{1}{392}\text{ square yard}[/tex]

Option 'B' is correct.