A large oak tree is 17 meters tall. At a certain time of day, it casts a long shadow on the
ground below. The tip of the shadow of the oak tree is 51 meters from the base of the tree.
At the same time, a tall statue casts a shadow that is 63 meters long. How tall is the statue?

Answer:

sorry for point

plz

plz

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plz

Answer:

Hello,

Answer: a=-3

Step-by-step explanation:

\(-4a-2a-7=11\\\\\Longleftrightarrow\ -6a-7=11\\\\\Longleftrightarrow\ 6a=-7-11\\\\\Longleftrightarrow\ 6a=-18\\\\\Longleftrightarrow\ a=-3\\\)

the population would be 7,518,400

469,900 • 2^20/5

* 20/5 is part of the exponent

Answer:

7518400

Step-by-step explanation:

Doubling time model:

         \(P= P_o 2^{\frac{t}{D}}\)

Here, P is the initial value, D is the time taken to double the quantity, t is the given period of time.

 \(P_o = 469,900\\\\\\D = 5 \ years\\t = 20 \ years\)

                    \(P = 469,900 * 2^\frac{20}{5}\\\\P = 469,900 * 2^4\)

                         = 469,900 * 2 * 2 * 2 * 2

                         = 7518400

Answer:

Step-by-step explanation:

Surface area of the triangular prism = 2B + ph

B is the base area = 11 * 14

B =  154 sq. cm

p is the perimeter of the base =

The equation of the ellipse with a center at (3, 1), a focus at (7, 1), and a vertex at (-2, 1) is given by \(\(\frac{{(x - 3)^2}}{{36}} + \frac{{(y - 1)^2}}{{25}} = 1\).\). In this equation, A = 6, B = 5, C = 3, and D = 1.

To find the equation of the ellipse, we need to determine the values of A, B, C, and D in the general form equation \(\[\frac{{(x - C)^2}}{{A^2}} + \frac{{(y - D)^2}}{{B^2}} = 1\]\)for an ellipse. The center of the ellipse is (C, D), so C = 3 and D = 1.

The distance between the center and each focus is given by the value of A, so we can calculate A as the distance between (3, 1) and (7, 1), which is 4. Therefore, A = 4.

The distance between the center and each vertex is given by the value of B, so we can calculate B as the distance between (3, 1) and (-2, 1), which is 5. Hence, B = 5. Plugging these values into the general form equation, we get \(\(\frac{{(x - 3)^2}}{{36}} + \frac{{(y - 1)^2}}{{25}} = 1\)\) as the equation of the ellipse.

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In a family with three children, assuming each child is equally likely to be a boy or a girl, we can analyze the sample space and calculate the probabilities of different events. The sample space consists of eight possible outcomes indicating the genders of the three children. The events of interest include exactly one child being a girl, at least two children being girls, and no child being a girl.

(a) The eight elements in the sample space, representing all possible genders of the three children, are as follows:

1. BBB (Three boys)

2. BBG (Two boys and one girl)

3. BGB (One boy and two girls)

4. BGG (One boy and two girls)

5. GBB (One girl and two boys)

6. GBG (One girl and two boys)

7. GGB (Two girls and one boy)

8. GGG (Three girls)

(b) Now let's calculate the probabilities of the given events:

(i) The event of exactly one child being a girl can be represented as {BGG, GBG, GGB}. The probability is 3/8 since there are three favorable outcomes out of the eight possibilities in the sample space.

(ii) The event of at least two children being girls can be represented as {BGG, GBB, GBG, GGB, GGG}. The probability is 5/8 since there are five favorable outcomes out of the eight possibilities.

(iii) The event of no child being a girl can be represented as {BBB}. The probability is 1/8 since there is only one favorable outcome out of the eight possibilities.

By analyzing the sample space and defining the events of interest as sets, we can determine the probabilities associated with each event based on the principles of probability theory.

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Answer:

slope=-2

y intercept= 7

Step-by-step explanation:

Equation of a line:

y=mx+c

where

m=slope of the line, and

c=y intercept

Comparing y=-2x+7 with y=mx+c,

m=-2

y intercept=7

Hope it helps:)

Answer:

Theater: Comedy 61% Drama 39% Home: Comedy 60% Drama 40%

Step-by-step explanation:

Theater: first add 57 and 36 to get the total amount, then do comedy/total, which is 57/93, when you divide this it equals 0.612. Multiply this by 100 and you get 61.2 %, repeat this formula for the rest: x or y/x+y x being one amount and y another amount. x+y is just the total amount. *If you don't care about how to do it look below*

Theater:

Comedy: 57/93 x 100=61%

Drama: 36/93 x 100=39%

Home:

Comedy: 78/131 x 100=60%

Drama: 53/131 x 100=40%

This totally might be late so you don't need it anymore, welp good luck anyway!

[:

Answer:

43, 52, 61

(adding nine each time)

Answer:

4−2x<−3

Step-by-step explanation:

check:

now --- 4°

after 1 hr --- 2°

after 2 hrs--- 0°

after 3 hrs--- -2°

after 4 hrs--- -4°

so between 3 and 4 hrs it will reach -3°

4-2x < -3

-2x < -7

x > 3 1/2

The diameters is 49​ be the circumference of the circle is 154 cm.

When it comes to geometry, a circle's or ellipse's circumference is its perimeter. In other words, the circumference would be the length of the circle's arc if it were opened out and straightened out to a line segment. The radius surrounding any closed figure is known as its perimeter more generally.

The distance in a straight line around a circle is known as its circumference. Or, to put it another way, the circumference of a circle is the length of a straight line formed by opening up the circle.

A circle's perimeter is referred to as its circumference. By calculating the length it would take to walk around the world, we may determine the size of the earth.

Given : Diameter of the circle \($=49 \mathrm{~cm}$\) and value of \($\pi=\frac{22}{7}$\)

The circumference of the circle is given by \($C=2 \pi r$\) or in the form of a diameter the circumference of the circle is \($C=\pi d$\)

Now, we have given \($\mathrm{d}=49 \mathrm{~cm}$\) and value of \($\pi=\frac{22}{7}$\)

Substitute the value in the formula,

\($& C=\pi d \\\)

substitute the values in the above equation, we get

\($& C=\frac{22}{7} \times 49 \\\)

simplifying the equation, we get

C = 22 × 7

C = 154 cm

Therefore, the circumference of the circle is 154 cm.

The complete question is:

Find the circumference of circle whose diameter is 49cm, pi = 22 by 7

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The answer is [ -14 * n ]

56 / -14 = -4

Check.

-14 * -4 = 56

Thus, proves our answer.

Best of Luck!

Answer:

a

Step-by-step explanation:

The range:{-8, 4, 10} and the function as set of ordered pair is {(-2, -8),(2, 4),(4, 10)}

A pair of numbers in a certain order is called an ordered pair. Ordered pairs include, for instance, (1, 2) and (-4, 12). The two numbers' relative placement is crucial: (2) is not equal to (1, 1) (2, 1) — (1, 2)≠(2, 1). (2, 1).

When displaying two variables, ordered pairs are frequently used. By writing (x, y) = (7, - 2), we indicate that x = 7 and y = -2. The terms "x-coordinate" and "y-coordinate" refer to the number that relates to the value of x and the value of y, respectively.

The, function is given as y = 3x - 2

Lets put this in graph

Domain: {-2, 2, 4}

put the x values in function

y = 3(-2) - 2

y = −8

y = 3(2) - 2

y = 4

y = 3(4) - 2

y = 10

Range: {-8, 4, 10}

The function as set of ordered pair is {(-2, -8),(2, 4),(4, 10)}

Thus, the range:{-8, 4, 10} and the function as set of ordered pair is {(-2, -8),(2, 4),(4, 10)}

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The terms that can be combined in the given expression are 15.2(x/6) and -x.

To determine which terms can be combined in the given algebraic expression, let's simplify it step by step:

The expression is: 15.2(x/6) - 5.5y(5/6)x + 4z - x.

We can combine like terms by adding or subtracting coefficients that have the same variables raised to the same powers.

Looking at the terms, we can combine the following:

  - The terms 15.2(x/6) and -x have the variable "x" raised to the power of 1, so we can combine them.

  - However, the terms -5.5y(5/6)x and 4z have different variables or different powers of "x", so they cannot be combined.

Therefore, the terms that can be combined are 15.2(x/6) and -x.


The terms that can be combined in the given expression are 15.2(x/6) and -x.

In the given algebraic expression, we have four terms: 15.2(x/6), -5.5y(5/6)x, 4z, and -x. To determine which terms can be combined, we need to look for like terms. Like terms are terms that have the same variables raised to the same powers.

Looking at the terms in the expression, we can see that 15.2(x/6) and -x both have the variable "x" raised to the power of 1. Therefore, these two terms can be combined.

On the other hand, the term -5.5y(5/6)x has the variables "y" and "x", but the power of "x" is different from the other term. Similarly, the term 4z does not have any variables that can be combined with the other terms.

In conclusion, the terms that can be combined in the given algebraic expression are 15.2(x/6) and -x.

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Answer:

B,D,F

Step-by-step explanation:

edge

Answer:

y = -3x + 7

Step-by-step explanation:

Hello!

Slope-Intercept Form: y = mx + b

The y-intercept of the graph, or the point where the graph intersects the y-axis, is 7.

We can find the slope by finding the Rise/Run.

The graph rises negatively by 3 units as it runs positively by 1 unit, so the slope is -3/1 or -3.

Given the slope and y-intercept, the equation of the line is y = -3x + 7.

Answer:

See below to complete

Step-by-step explanation:

ABC = 37 +21 °

LMN = 85 +23 °

Answer:

-11

Step-by-step explanation:

You need to find the difference in y-coordinates and divide that difference into a 7:3 ratio. Then you add that to the y-coordinate of point J.

Difference in y:

-20 - 10 = -30

7 + 3 = 10

7/10 * (-30) = -21

Add -21 to 10:

10 + (-21) = -11

The y-coordinate is -11.

Answer:

$13.50

Step-by-step explanation:

$31.50-$18= $13.50

The price of the two items - the known price which is the blouse

Answer:

First account (4%):  P₁ = $25,500

Second account (3¹/₈%):  P₂ = $44,000

Third account (2¹/₂%):  P₃ = $11,000

Step-by-step explanation:

Simple Interest Formula

\(\large\boxed{\sf I = Prt}\)

Where:

Given information:

Convert the given percentages into decimal form:

\(\implies \sf 4\%=\dfrac{4}{100}=0.04\)

\(\implies \sf 3 \frac{1}{8}\%=3.125\%=\dfrac{3.125}{100}=0.03125\)

\(\implies \sf 2 \frac{1}{2}\%=2.5\%=\dfrac{2.5}{100}=0.025\)

Let P₁, P₂ and P₃ be the principal amounts invested into each of the three accounts, and I₁, I₂ and I₃ be the corresponding interest accrued.

Use the simple interest formula to find expressions for the interest of each account:

\(\implies \sf I_1=P_1 \cdot 0.04 \cdot 1=0.04P_1\)

\(\implies \sf I_2=P_2 \cdot 0.03125 \cdot 1=0.03125P_2\)

\(\implies \sf I_3=P_3 \cdot 0.025 \cdot 1=0.025P_3\)

Let x be the amount invested in third account.

Therefore, the amount invested in the second account = 4x.

The total interest earned is $2,670:

\(\begin{aligned}\textsf{Total interest}&=\sf 2670\\\implies \sf I_1+I_2+I_3&=\sf 2670\\ \sf 0.04P_1+0.03125P_2+0.025P_3&= \sf2670\\\sf 0.04P_1+0.03125(4x)+0.025(x)&= \sf2670\\\sf 0.04P_1+0.125x+0.025x&= \sf2670\\\sf 0.04P_1+0.15x&= \sf2670\\\end{aligned}\)

The total amount invested it $80,500:

\(\begin{aligned} \textsf{Total principal} & = \sf 80500\\\implies\sf P_1+P_2+P_3 &=\sf80500\\\sf P_1+4x+x&=\sf 80500\\\sf P_1+5x&=\sf 80500\\\sf P_1&=\sf 80500-5x\end{aligned}\)

Substitute the expression for P₁ into the total interest equation and solve for x:

\(\begin{aligned}\sf 0.04P_1+0.15x & = \sf 2670\\\implies \sf 0.04(80500-5x)+0.15x & = \sf 2670\\\sf 3220-0.2x+0.15x & = \sf 2670\\\sf 3220-0.05x & = \sf 2670\\\sf 550&=\sf0.05x\\\sf x&=\sf 11000\end{aligned}\)

Therefore:

\(\implies \sf P_2=4x=4(11000)=\$44,000\)

\(\implies \sf P_3=x=\$11,000\)

\(\implies \sf P_1=80500-P_2-P_3=80500-44000-11000=\$25,500\)

Answer:

Step-by-step explanation:

c.  y = (x^2 + 3)(x + 4)

y = x^3 + 4x^2 + 3x + 12

d. y = (x^2 + x) / √x

y =   (x^2 + x) /  x^1/2

y = x^2/ x^1/2  +  x / x^1/2

y = x^(2 - 1/2) + x(1 - 1/2)

y = x^3/2 + x^1/2

or x =  √(x^3) + √x

e.   y = 5 /x^2

y = 5x^(-2)

If the original quantity is 8 and the new quantity is 2, then the correct answer is 75%.

For this question we need to subtract and multiply the numbers. We know that 2 = 25% of 8 so:

\(\boxed{8-2=6}\\\boxed{6/2=3}\)

We are going to take that 25% and multiply it with 3 to get are final answer.

\(\boxed{25*3=75}\\\boxed{So,2=75}\)

Therefore, If the original quantity is 8 and the new quantity is 2, then the correct answer is 75%.

Answer:

A. y-intercept

B. Both

C. x-intercept

D.Neither

E. x-intercept.

Step-by-step explanation:

A y-intercept is recognized when there is a 0 at the x coordinate. A x-intercept is recognized when there is a 0 at the y-coordinate. The origin  (0,0) is considered the x and y-intercept. In a neither situation, the coordinates will have another number besides zero.

Answer:

a) 24

b) 12

Step-by-step explanation:

a) For the 4 letters of the word ROCK

Selecting any first letter, we have 4 options

for the second, we have 3 options

for the third we have 2 options

for the fourth, we have only one option

So the number of ways will be ;

4 * 3 * 2 * 1 = 24 ways

b) 2 out of 4

For the first letter, we have 4 options, for the second, we have 3 options

so the number of options is 4 * 3 = 12 options

The points that lies on the same line are (-3, 12), and, (-1, 4).

Here, we have,

The given coordinate points are (-2, 8) and (5,-20).

Here, slope (m)= 8+20/-2-5

= 28/-7

=-4

Substitute m= -4 and (x, y)=(-2,8) in y=mx+c, we get

8 = 8+c

or, c = 0

So, the equation of a line is y= -4 x

Now,

(-6, -2) in the given equation is -2=-4 (-6)

-2≠ 24

(-3, 12)  in the given equation is y= -4 x

12 = 12

(4, 16) in the given equation is y= -4 x

16 ≠ -16

(0, 6) in the given equation is y= -4 x

6 ≠ 0

(-1, 4) in the given equation is y= -4 x

4 = 4

(7,5) in the given equation is y= -4 x

5 ≠ -28

Therefore, the points that lies on the same line are (-3, 12), and, (-1, 4).

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The boolean expression that is equivalent to !(A < 5 && B !-C) is as follows::

A≥5 || B =C.

We can write the answer as follows: A≥5 || B =C

Explanation: The given boolean expression is !(A < 5 && B !-C). To solve the boolean expression, we first need to distribute the NOT operator and simplify the expression. So, !(A < 5 && B !-C) can be written as ! (A < 5) || ! (B !-C).Further, we can simplify it as A ≥ 5 || B = C.

Hence, the boolean expression that is equivalent to !(A < 5 && B !-C) is A≥5 || B =C.

Conclusion: Therefore, the boolean expression that is equivalent to !(A < 5 && B !-C) is A≥5 || B =C.

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Answer:

0.85 × 9.412=8.0002 nearest so 0.25 × 9.421= 2.35525

Step-by-step explanation:

Answer:

Step-by-step explanation:

Conclusion:

Hoped this helped.

The length of the third side of an isosceles triangle is 9 cm.

Define isosceles triangle.

A triangle with two sides that are congruent or that are the same length is known as an isosceles triangle.

Define perimeter.

The sum of the lengths of the three sides of an isosceles triangle can be used to determine its perimeter. Two of the sides of an isosceles triangle are equal in length. Therefore, if we know the base length and the other two equal side lengths, we can determine the perimeter.

Given data -

Perimeter of an isosceles triangle  = 47cm

The sum of the equal sides = 38 cm

Let a be the length of equal sides.

Therefore 2a = 38

Perimeter of an isosceles triangle = 2a + b

47 = 38 + b

b = 47 - 38

b = 9 cm

The length of the third side of an isosceles triangle is 9 cm.

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The complete question is

"If the perimeter of an isosceles triangle is 47 cm and the sum of the equal sides is 38 cm. Find the length of the third side."

The actual size of 2×4 is 1.5 inches by 3.5 inches

The measurement is 2 × 4

Assuming you are referring to lumber sizes, a 2x4 piece of lumber has actual dimensions of 1.5 inches by 3.5 inches

If we convert to the centimeter then the actual size will be 3.81 cm by 8.89 cm

The name "2x4" refers to the rough dimensions of the lumber before it is planed and smoothed, which are typically about 2 inches by 4 inches. However, the planing process reduces the size of the lumber by about 0.5 inches in both dimensions.

Therefore, the actual size is 1.5 inches by 3.5 inches

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