2x+5y=-13
3x-5y=14

Solve for x and y

Step-by-step explanation:

let x be the missing side length.We know that hypotenuse is 2x because x is opposite the 30 angle.

Using pythagorean theorem we have that x^2+9^2=(2x)^2

81=4x^2-x^2

81=3x^2

x^2=81/3=27

x=√27

so the missing side is √27

Answer:

$18.15

Step-by-step explanation:

45% of $33 = $14.85

$33 - $14.85 = $18.15

Answer:

125.6637061

Step-by-step explanation:

Answer:

40π inches, or approximately 125.66 inches

Step-by-step explanation:

The formula to find the circumference of a circle is C = 2πr, where r is the radius of the circle and π is a mathematical constant approximately equal to 3.14.

In this case, the radius of the tire is 20 inches. So, the circumference of the tire is:

C = 2πr

C = 2π(20)

C = 40π

Therefore, the circumference of the tire is 40π inches, or approximately 125.66 inches if you round to two decimal places.

Answer:

the second

Step-by-step explanation:

refers to well-founded standards of right and wrong that prescribe what humans should do, usually in terms of rights, obligations, benefits to society, justice

Marcella won't be able to win the competition because the length of the rope is less than 162 feet.

How to find the sides of a right angle triangle?

The situation forms a right angle triangle.

The kite released rope is the hypotenuse side of the triangle formed.

The opposite side of the triangle is the height of the kite from the ground.

Therefore,

sin 28 = opposite / hypotenuse

sin 28 = 75 / h

h = 75 / sin 28

h = 75 / 0.46947156278

h = 159.754085116

h ≈ 160 feet

Therefore, she won't be able to win the competition because the length of the rope is less than 162 feet.

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Answer:

\(\frac{v}{-9}\) < -18 or v ÷ -9 < -18

Step-by-step explanation:

"The quotient" means that it is a division problem. That means you have to divide.

Less than is a symbol that stands for *The number is less than the other number*

The equation of the line that passes through (-3, -1) and is parallel to the line passing through D (4, -6) and E (-4, 4) is y = (-5/4)x - 19/4.

To find the equation of a line that passes through the point (-3, -1) and is parallel to the line passing through points D (4, -6) and E (-4, 4), we can follow these steps:

Calculate the slope of the line passing through points D and E:

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

Slope = (4 - (-6)) / (-4 - 4)

Slope = 10 / (-8)

Slope = -5/4

Since the line we want to find is parallel to the line passing through D and E, it will have the same slope. So, the slope of the line we want to find is also -5/4.

We can use the point-slope form of a linear equation to determine the equation of the line passing through (-3, -1) with the slope -5/4:

y - y1 = m(x - x1)

where (x1, y1) is the given point (-3, -1) and m is the slope (-5/4).

Plugging in the values, we get:

y - (-1) = (-5/4)(x - (-3))

y + 1 = (-5/4)(x + 3)

Simplify the equation:

y + 1 = (-5/4)x - 15/4

Move the constant term to the other side:

y = (-5/4)x - 15/4 - 1

y = (-5/4)x - 15/4 - 4/4

y = (-5/4)x - 19/4

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Answer:

B. LXYB.

Step-by-step explanation:

Answer:

The value of x will be:

Step-by-step explanation:

Given the equation

\(4-2(x+7)=3(x+5)\)

Multiply (or distribute) each term in parenthesis on L.H.S by -2, and multiply (or distribute) each term in parenthesis on R.H.S by 3.

\(4-2x-14=3x+15\)

simplifying the equation by subtracting 14 from the L.H.S

\(-10-2x=3x+15\)

Subtracting 15 from both sides

\(-10-2x-15=3x+15-15\)

\(-25-2x=3x\)

combining the like terms

\(-25=3x+2x\)

\(-25=5x\)

dividing both sides of the equation by 5

\(\frac{-25}{5}\:=\:\frac{5x}{5}\)

\(-5=x\)

Therefore, the value of x will be:

The correct answer is d. 8, as it represents the greatest possible value for the integral of f(x) over the interval [0, 2].

Given that 2 ≤ f(x) ≤ 4 for all x in the interval [0, 2], we know that the function f(x) is bounded between 2 and 4 throughout the interval. To find the greatest possible value of the integral of f(x) over the interval [0, 2], we want to maximize the area bounded by the function and the x-axis.

Since the function is continuous and bounded, we can use the Fundamental Theorem of Calculus to find the integral. The integral of f(x) over the interval [0, 2] represents the area under the curve of f(x) between x = 0 and x = 2.

The maximum possible value of this integral occurs when the function is at its upper bound of 4 throughout the interval. Therefore, the greatest possible value of the integral is the area of the rectangle with a base of 2 (the width of the interval) and a height of 4, which is 2 * 4 = 8.

Hence, the correct answer is d. 8, as it represents the greatest possible value for the integral of f(x) over the interval [0, 2].

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Answer:

no

Step-by-step explanation:

To find the limit of the function f(n), we need more information about the behavior of the function as n approaches a particular value.

The given options provide possible values for f(n), but they do not provide any indication of how the function behaves as n approaches infinity or a specific value. To determine the limit of f(n), we need additional information such as the function's formula or a pattern in its values as n increases or decreases. Without this information, it is not possible to accurately determine the limit of the function.

Therefore, without more details about the function f(n), it is not possible to provide a definitive answer or determine the limit of the function.

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A polynomial can have as many real zeros as its degree, hence one with three degrees can have as many as three zeros.

The roots of an equation are the solution of that equation since an equation consists of hidden values of the variable to determine them by different processes and then the resultant is called roots.

A polynomial with n degrees can have as many variables as n in total.

For example, a quadratic equation ax² + bx + c = 0 is a two-degree equation so it has a maximum of two roots or zeros.

A polynomial with the given degree structure will have exactly 3 roots because it has 3 degrees.

Hence "The maximum number of real zeros in a polynomial will be same as its degree thus 3 degrees will have 3 zeros".

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Answer:

1.8 , 2.2 , 2.6 thats it

doneeeeeee

Answer:

1.8,1.12,1.16

but don't mark me because I'm not sure for my answer

Answer:

Ecosystem

Step-by-step explanation:

He is investigating both living and non living organisms.

The most quickly revealing form for finding the y-intercept of the function ggg is Choice A. The y-intercept represents the point where the graph of the function intersects the y-axis, which occurs when the value of x is 0.

In Choice A, the function is given as g(x) = -2(x+1)(x+7). By substituting x = 0 into the function, we can find the y-intercept. When x = 0, the expression becomes g(0) = -2(0+1)(0+7) = -2(1)(7) = -14. Therefore, the y-intercept is (0, -14). Choice B and Choice C also provide equivalent forms of the function ggg, but they do not directly reveal the y-intercept as quickly as Choice A.

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To find the y-intercept, substitute x = 0 into the equation and evaluate. The y-intercept is -14 in all three forms of the given function.

The y-intercept of a function is the point where the graph of the function intersects the y-axis, which occurs when x is equal to zero. To find the y-intercept in each form of the function, substitute x = 0 into the equation and evaluate:

Therefore, all three forms of the function reveal that the y-intercept is -14.

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The simple interest rate is $46,800

Simple interest  serves as the interest that is based on the  principal amount of a loan  or in some cases the  deposit in a savings account.

interest rate  = 6.5%= 6.5/100= 0.065

time = 12 years

principal = $60,000

Simple interest formular =(Principal x Interest Rate x Time)/100

Simple interest = (12* 0.065* 60000)/100

=$46,800

Therefore, simple interest rate is $46,800

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π/2 radians is equivalent to 90 degrees. Radians measure angles based on the ratio of arc length to radius in a circle.

Radians and degrees are two different units used to measure angles.

In a circle, there are 2π radians (approximately 6.28) for a full revolution, which is equivalent to 360 degrees.

a. To determine the degree measure of π/2 radians, we can use the fact that 2π radians is equivalent to 360 degrees.

Solving for the unknown angle, we can set up the proportion: (π/2) radians = x degrees / 360 degrees. Cross-multiplying gives us x = (π/2) * (360/1) = 180 degrees.

Therefore, π/2 radians is equivalent to 180 degrees.

Radian measure represents the size of an angle in terms of the ratio of the arc length to the radius.

Each radian corresponds to an angle subtended by an arc that has a length equal to the radius of the circle.

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Answer:

999,960

Step-by-step explanation:

let x be a multiple of 120

120x ≤ 999,999

999,999 / 120 = 8333.325

8333 ≤ x ≤ 8334

8333(120) = 999,960

8334(1200) = 1,000,080  this is a 7-digit number

Therefore, the largest 6-digit number that is exactly divisible by 120 is 999,960

The area of each of the missing faces is 40 m².

The length of each of the missing faces is 10 m.

The missing dimension is 10 m by 4 m.

Area is the region bounded by a plane shape.

To calculate the area of each missing face, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

And the length of each of the missing edge can be calculated using the formula below

Formula:

Where:

From the diagram in the question,

Given:

Substitute into equation 2

Hence, the length is 10 m.

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Answer:

\(x=\frac{33}{7}\)

Step-by-step explanation:

Since ED is parallel to CA, the two triangles in the figure share all 3 angles and therefore must be similar. By definition, the corresponding sides of similar polygons are in a constant proportion.

Therefore, we have:

\(\frac{11}{11+x}=\frac{14}{20},\\14(11+x)=20\cdot 11,\\11+x=\frac{20\cdot 11}{14},\\x=\frac{110}{7}-11=\boxed{\frac{33}{7}}\)

Answer:

Step-by-step explanation:

When you take the n-th root of a number, you can rewrite the expression by taking it to the 1/n-th power. For example:

\(\sqrt[n]{x} =x^\frac{1}{n}\)

For the first expression, we can use this proprtery to get:

\(\sqrt[5]{a^x} =(a^x)^\frac{1}{5}\)

Using exponent rules, you can combine the exponents by simply multiplying them to get:

\(a^\frac{x}{5}\)

Moving on to the second expression. It is now the square root, or equivalently a 1/2 power. If we break up the terms under the radical into powers of 2, we can cancel a lot of the terms:

\(\frac{\sqrt{81a^3b^1^0} }{\sqrt{3}a } =\frac{\sqrt{81a^2*a*b^1^0} }{\sqrt{3}a }\)

The a^2 and b^10 can be taken out of the radical because they have perfect roots:

\(\frac{\sqrt{81a^2*a*b^1^0} }{\sqrt{3}a }=ab^5\frac{\sqrt{81a} }{\sqrt{3}a }\)

The square root of 81 has a perfect root of 9. We have:

\(ab^5\frac{\sqrt{81a} }{\sqrt{3}a }=9ab^5\frac{\sqrt{a} }{\sqrt{3}a }\)

You can divide 9 and the square root of 3 by breaking up 9 into a product:

\(\frac{(3*3)ab^5}{\sqrt{3} } \frac{\sqrt{a} }{a }=3\sqrt{3} ab^5\frac{\sqrt{a} }{a }\)

Simply by cancelling the 'a' terms to get:

\(3\sqrt{3} ab^5\frac{\sqrt{a} }{a }={3\sqrt{3}}\sqrt{a}b^5=3b^5\sqrt{3a}\)

Answer:

200

Step-by-step explanation:

Answer:

I would make all week snow days for no school

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

We know that (15, 11) (which means x = 15, y = 11) is a solution to Line Q so therefore:

11 = 4/3 * 15 + (k + 1)

11 = 21 + k

k = -10

Answer:

-10 = k

Step-by-step explanation:

y = 4/3x + ( k+1)

We know a point on the line is ( 15,11)

Substitute this point into the equation

11 = 4/3(15) + (k+1)

11 = 20 + k+1

Combine terms

11 = 21+k

Subtract 21 from each side

11-21 = k

-10 = k

Answer:

6 cm

Step-by-step explanation:

A = 4πr^2

4πr^2 = 36π cm^2

r^2 = 9 cm^2

r = 3 cm

d = 2r = 6 cm

Interest = A - (50 * 456)

To determine how much you will have in the IRA when you retire at age 65, we can use the formula A = P[(1 + r)^t - 1] / r, where A is the future value, P is the monthly deposit, r is the monthly interest rate, and t is the number of months.

a. In this case, the monthly deposit is 50, the monthly interest rate is 5% or 0.05, and the number of months is (65 - 27) * 12 = 456 (from age 27 to 65).

Using the formula, we can calculate:
A = 50[(1 + 0.05)^456 - 1] / 0.05

b. To find the interest, we can subtract the total deposits from the future value:
Interest = A - (P * t)

In this case:
Interest = A - (50 * 456)

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Answer:

C: Experimental

Step-by-step explanation:

This is an experimental study because you have two separate groups (the control and experimental groups) you are comparing and manipulating the results.