PLZ HELP!!!!!!35. ABCD is an isosceles trapezoid with A(0,-1), B(-2,3) and C(6,-1). Find the coordinates of C.
a. (3.8)
b. (9,4)
c. (2,3)
d. (8,3)

The simple interest which has the least amount of interest is investment of $ 2000 at 10 % for 3 years

Given data ,

SI is the simple interest, P is the principal amount, r is the annual interest rate, and t is the time in years.

Given that P = 2000, r = 10% = 0.1, and t = 3 years, we can calculate the simple interest as:

SI = 2000 x 0.1 x 3 = 600

Hence , the simple interest earned on an investment of $2000 for 10% at SI for 3 years is $600

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Answer:

Step-by-step explanation:

If f(x)=x²+4 then (fof⁻¹)(x)=(f⁻¹of)(x)=x is proved

A relation is a function if it has only One y-value for each x-value.

Composite functions are when the output of one function is used as the input of another.

If f(x)=x²+4

Then we have to prove f⁻¹of(x)=f⁻¹(f(x)

Let us consider fof⁻¹(x)

f(f⁻¹(x))

x

So (fof⁻¹(x))=x

Now f⁻¹of(x)=f⁻¹(f(x)

=x

Hence, If f(x)=x²+4 then (fof⁻¹)(x)=(f⁻¹of)(x)=x is proved

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Answer:

The growth model that represents the population of this city is not linear--it is exponential:

\(f(t) = 10000( {1.025}^{t} )\)

\(t = 0 \: represents \: 2010\)

The school has a total of 360 students. The number of students that would attend this year is 357.

A percentage is a minimum number or ratio that is measured by a fraction of 100.

The percentage of students in the school that attended the talent show for the years 2008 to 2013 is shown

2008: 86%

2009: 89%

2010: 93%

2011: 85%

2012: 92%

2013: 95%

Number of students that would attend this year

= percentage of students that attended in 2013 x total number of students

\(= \frac{94}{100} \times 380\\= 357.2\)

Thus, 357 to the nearest whole number.

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Choices C and D are terms of the expression.

The term of just p is not seen in the expression.

The term of just -9x is not seen in the expression.

Choices A and B are missing something.

A is missing the coefficient of 12, and B is missing the exponent of 3.

Answer:

AA similarity, triangle CBA is congruent to triangle CST

Step-by-step explanation:

angle ACB and angle TCS are congruent by the vertical angles theorem

The picture marks that angle B and angle S is congruent

since 2 angles are congruent, the triangles are similar by the AA similarity

Answer:*

Step-by-step explanation:

The product of 83 and 4.5 \times 10^64.5×106 is expressed in scientific notation is 830*10^-12.

Scientific notation can be described as the representation of the large numbers or very small numbers in the standard form which can be seen in the final answer of this question , it do make the handling of numbers to be easier when making a calculation.

From the question, we are asked for the product of 83 and 4.5 \times 10^64.5×10^6,

Then we can multiply 10^6 * 4.5×10^6 which is (4.5*10^11)

Then 4.5/(4.5*10^11) = 10 *10^-12

Then we can found the product  expression as (83* 10 *10^-12) = 830*10^-12.

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Answer:

14 bags

Step-by-step explanation:

Dimension of lawn : 230 feet by 180 feet

area of rectangle is given by length * width

Since lawn is rectangular area of lawn = 230 feet * 180 feet = 41,400 sq. feet

Given that one bag of fertilizer covers 3000 square feet of lawn.

Thus , to find no. of bags required to cover whole lawn will be

total area of lawn/area which one bag of  fertilizer covers

no. of bags required to cover whole lawn = 41,400 sq. feet/3000 sq. feet

    = 13.8 bags.

As no. of bags cannot be fractional , hence rounding bag to nearest unit place is 14 bags.

Answer:

B. 7

Step-by-step explanation:

Recall: according to thee Mid-segment Theorem of a triangle, the Mid-segment of a triangle is half the length of the base of the triangle

Base length of the traingle, RQ = 14 (given)

Mid-segment = TS

Therefore,

TS = ½(RQ)

Plug in the value

TS = ½(14)

TS = 7

Answer:

Given:

Area of the sector (A) = 104π/9 square inches

Central angle (θ) = 65 degrees

The formula for the area of a sector of a circle is:

A = (θ/360) * π * r^2

We can rearrange this formula to solve for the radius (r):

r^2 = (A * 360) / (θ * π)

Plugging in the given values:

r^2 = (104π/9 * 360) / (65 * π)

r^2 = (104 * 40) / 9

r^2 = 4160 / 9

r^2 ≈ 462.22

Taking the square root of both sides:

r ≈ √462.22

r ≈ 21.49

Therefore, the radius of the circle is approximately 21.49 inches.

Answer: 8 inches

Step-by-step explanation:

Answer: D. x = 2.16

Step-by-step explanation:

The given equation is \(4^x= 20\)

Taking log on both sides, we get

\(\log 4^x =\log 20\)

Using properties of logarithm

\(\log a^b=b\loga\)

We have,

\(x\log 4= \log 20\\\\\Rightarrow\ x=\dfrac{\log 20}{\log 4}\\\\\Rightarrow\ x=\log \dfrac{1.3010}{0.6021} \\\\\Rightarrow\ x= 2.1608\approx 2.16\)

Hence, the solution to the given equation is x = 2.16.

So the correct option is D.

Answer:

10.63015

10.63015

Step-by-step explanation:

c=a2+b2=82+72

Answer:

16/24+21/24

Step-by-step explanation:

Hope it helped!!

Answer: turtles

Step-by-step explanation:

Answer:

\(\sqrt[3]{215}\)

Decimal Form: 5.99072641

Look down for explanation

Step-by-step explanation:

\(\sqrt[3]{215}\)

You have to simplify.

\(= \sqrt[3]{215}\).

Decimal Form: 5.99072641

Now you have the answer to your question!

Hope this helps!

The correct step to prove that \(BC^2 = AB^2 + AC^2\) is:

By the cross product property, \(AC^2 = BC \cdot AD\).

To prove that \(BC^2 = AB^2 + AC^2\), we can use the triangle similarity and the Pythagorean theorem. Here's a step-by-step explanation:

Given triangle ABC with right angle at A and segment AD perpendicular to segment BC.

By triangle similarity, triangle ABD is similar to triangle ABC. This is because angle A is common, and angle BDA is a right angle (as AD is perpendicular to BC).

Using the proportionality of similar triangles, we can write the following ratio:

\($\frac{AB}{BC} = \frac{AD}{AB}$\)

Cross-multiplying, we get:

\($AB^2 = BC \cdot AD$\)

Similarly, using triangle similarity, triangle ACD is also similar to triangle ABC. This gives us:

\($\frac{AC}{BC} = \frac{AD}{AC}$\)

Cross-multiplying, we have:

\($AC^2 = BC \cdot AD$\)

Now, we can substitute the derived expressions into the original equation:

\($BC^2 = AB^2 + AC^2$\\$BC^2 = (BC \cdot AD) + (BC \cdot AD)$\\$BC^2 = 2 \cdot BC \cdot AD$\)

It was made possible by cross-product property.

Therefore, the correct step to prove that \(BC^2 = AB^2 + AC^2\) is:

By the cross product property, \(AC^2 = BC \cdot AD\).

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Answer:

exact form:

9/2

decimal form:

4.5

mixed number form:

4 1/2

Step-by-step explanation: sorry if this wasnt what you were looking for.

Answer: its actually 900

Step-by-step explanation:

Answer:

14.2

Step-by-step explanation:

Step-by-step explanation:

The domain of A(r) is \(r \geq 0.\) The expression for A(r) is

\(A(r) = 2\pi r^2 + 16\pi r\)

Let's write A(r) as simply A and divide the equation by \(2\pi\) to get

\(r^2 + 8r = \dfrac{A}{2\pi}\)

We can complete the square on the left hand side by adding 16 to both sides:

\(r^2 + 8x + 16 = \dfrac{A}{2\pi} + 16\)

\(\Rightarrow (r + 4)^2 = \dfrac{A}{2\pi} + 16\)

Taking the square root of the equation above and then solving for r, we get

\(r = -4 \pm \sqrt{\dfrac{A}{2\pi} + 16}\)

In this exercise we have to use our knowledge about cylinders to calculate the function that best represents its value:

\(r=-4+\sqrt{\frac{A}{2\pi} +16}\)

The area domain of A can be written as:

\(A(r)=2\pi r^2+16\pi r\)

Let's write A(r) as simply A and divide the equation by \(2 \pi\)to get:

\(r^2+8r=\frac{A}{2\pi}\)

Now we can sum on both sides like:

\(r^2+8X+16=\frac{A}{2\pi}+16\\(r+4)^2=\frac{A}{2\pi}+16\)

Taking the square root of the equation above and then solving for r, we get:

\(r=-4+\sqrt{\frac{A}{2\pi} +16}\)

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The magnitude of the complex number -3 + 4i is 5.

To find the magnitude of a complex number, we use the formula:

Magnitude = √(real^2 + imaginary^2)

In this case, the complex number is -3 + 4i.

The real part is -3, and the imaginary part is 4.

Using the formula, we can calculate the magnitude:

Magnitude = √((-3)^2 + 4^2)

= √(9 + 16)

= √25

= 5

Therefore, the magnitude of the complex number -3 + 4i is 5.

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The woman will withdraw $300 given 6%   interest rate annually.

We can use the formula for simple interest to solve this problem:

I = Prt

where I is the interest earned, P is the principal (initial deposit), r is the annual interest rate as a decimal, and t is the time in years. Since the interest rate is given as an annual rate, we need to convert it to a daily rate by dividing by 365:

r = 0.06/365 = 0.00016438356

The time in years is 120/365 = 0.3287671233 years. Now we can plug in the values and solve for I:

I = 300 * 0.00016438356 * 0.3287671233 = 0.01699999999

The interest earned is $0.017, which is negligible. Therefore, the woman will withdraw the entire principal plus any interest earned, which is:

300 + 0.017 = $300.02

Rounding to the nearest dollar, the woman will withdraw $300.

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Answer:

Formula: V = (2/3) π r 3.

Radius is 3cm.

So, now we can plug it in to solve for the volume.

V = (2/3) π 3^3

First, let's multiply 3^3.

3^3 = 27

Then, 27 x π = 84.82

After, multiply by 2/3.

84.82 x 2/3 = 56.55

Lastly, round 56.55 to the nearest tenth of a cubic centimeter.

56.55 = 56.6

Therefore the volume of a hemisphere with a radius of 3cm is 56.6cm^3.

Step-by-step explanation:

hoped this helped

9514 1404 393

Answer:

  2/7

Step-by-step explanation:

Any unit fraction with a denominator between 3 and 4 will be between 1/3 and 1/4. For example, ...

  1/3.5 = 2/7 . . . . is between 1/3 and 1/4

__

You can also go at this considering decimal equivalents.

  1/4 = 0.25

  1/3 = 0.333... (repeating)

So, decimal numbers like 0.26, 0.295, 0.3330 are all values that are between 1/4 and 1/3.

Answer:

H)  y = 2x

Step-by-step explanation:

Using the information in the given diagram, the value of the missing angle is: m∠1 = 75°

The transverse line theorem states that If two parallel lines are cut by a transversal, then corresponding angles are congruent. Two lines cut by a transversal are parallel IF AND ONLY IF corresponding angles are congruent.

Now, when we draw a horizontal line parallel to lines a and b and directly cutting across the vertex of angle 1, we can see that angle 1 will be composed of two angles.

Now, for the transverse line theorem we can say that:

Angle 1 will be composed of two angles namely:

48 degrees and (180 - 153) degrees.

Thus:

m∠1 = 48° + 27°

m∠1 = 75°

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Answer:

x=2

Step-by-step explanation:

so u have 7 as the whole length.

and 5 of the 7 is filled

so u do this 7-5=2