What is the answer pls?

Answer:

Here's an example:

convert 2.5 into a mixed number.

Make the denominator less than the original.

The easy way for this is to do 25/10

when you put it through a calculator it ends up being 2.5

(essentially the mixed number and the decimal are the SAME numbers.)

Hope this clarified. :)

To convert a decimal to a mixed number, follow these steps:

Step 1: Identify the whole number part of the decimal. This is the part of the decimal before the decimal point.

Step 2: Identify the decimal part. This is the part of the decimal after the decimal point.

Step 3: Express the decimal part as a fraction by using the place value of the last digit.

Step 4: Simplify the fraction, if possible, by finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by it.

Step 5: Combine the whole number part, the fraction, and simplify if necessary.

Here's an example:

Let's say we have the decimal 2.75.

Step 1: The whole number part is 2.

Step 2: The decimal part is 0.75.

Step 3: To express 0.75 as a fraction, we write it as 75/100. Since 75 and 100 have a common factor of 25, we can simplify it to 3/4.

Step 4: The fraction 3/4 is already in its simplest form.

Step 5: Combining the whole number part and the fraction, we have 2 3/4.

So, the decimal 2.75 can be written as the mixed number 2 3/4.

Remember to always simplify the fraction part if possible.

Answer:

The facts about the placements of the ramps is that they have to be very percise on where they place it because if you get launched of the launching ramp and the landing ramps not in the right spot, you might end up getting injured very badly.

Answer:

6.6

Step-by-step explanation:

40/6=6.6

Given

To find

we know that

Inserting the value of radius

Answer:

14 full weeks.

Step-by-step explanation:

The phone costs $324 and she saved $56, so we subtract $56 from $324.

$324 - $56 = $268

She saves $20 each week so we divide $268 by $20 to get the number of weeks.

$268/20 = 13.4

It will take 13.4 weeks, but we have to round up because at 13 weeks she won't have enough saved. So 14 full weeks.

Young adults might value credit in case of an emergency for several reasons. Firstly, credit provides financial flexibility, allowing them to access funds quickly when unexpected expenses arise.

This can be essential for covering costs related to medical emergencies, car repairs, or other unforeseen events that may strain their limited savings. Secondly, young adults often have less established financial safety nets than older individuals. They may not have significant savings, insurance policies, or support from family members to fall back on during emergencies. Credit, in this case, acts as a temporary financial cushion, enabling them to manage immediate needs without resorting to high-interest loans or further jeopardizing their financial stability.

Thirdly, responsible use of credit can help young adults build a positive credit history. Demonstrating responsible borrowing and repayment habits will make it easier for them to access more favorable credit terms in the future, such as lower interest rates or higher credit limits. This can prove valuable when making significant purchases, like buying a home or financing higher education.

Lastly, having access to credit can also provide young adults with a sense of financial independence and empowerment. Knowing they have the means to handle emergencies without relying on others can boost their confidence in managing personal finances and help them make more informed financial decisions as they navigate adulthood.

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Answer:

B

Step-by-step explanation:

i think

The equation that solves for c is cos(35) = 5/c

From the question, we have the following parameters that can be used in our computation:

The triangle

Using the laws of cosines, we have the following equation

cos(angle) = adjacent/hypotenuse

Substitute the known values in the above equation, so, we have the following representation

cos(35) = 5/c

Hence, the equation is cos(35) = 5/c

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The radius of the circle is determined as r = 5.

option B.

The radius of the circle is determined by applying the general formula for circle equation.

(x - h)² + (y - k)² = r²

where;

The given circle equation;

4x² + 4y² = 100

Simplify the equation by dividing through by 4;

x² + y² = 25

x² + y² = 5²

So from the equation above, the radius of the circle corresponds to 5.

r = 5

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Answer:

If we have a function f(x) = y.

the set of possible values of x is called the domain

the set of possible values of y is called the range.

In this case, we have:

Blood alcohol content vs Reflex time,

The possible values of alcohol in blood content depend on the particular person, but we can have a minimum of 0.0 (no alcohol in blood) and a maximum of .51 (for a 90 lb person) because at this range the person enters the risk of death.

So the domain is: D = [0.0, 0.51]

But, we actually can have higher values of alcohol in blood, so we actually can use a domain:

D = [0.0, 1.0]

For the range, we need to see at the possible values of the reflex time.

And we know that the human reflex time is in between 100ms and 500ms

So our range can be:

R = [100ms, 500ms]

The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),

To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:

h = h0 + v0t + 1/2at^2

where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).

In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.

At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:

v = v0 + at

we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:

0 = 108 - 32.2t

t = 108/32.2 ≈ 3.35 s

Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.

Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:

h_hill = h0 + v0t + 1/2at^2 - h_top

where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:

h_top = h0 + v0^2/2a

Plugging in the given values, we get:

h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft

Plugging this into the first equation, we get:

h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78

h_hill ≈ 25.73 ft

If the arrow is launched at t0, the equation describing velocity as a function of time would be:

v(t) = v0 - gt

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The prove of the given trigonometric function is given below.

The given trigonometric function is,

(sin⁴(x) - cos⁴(x))/(sin²(x) - cos²(x))

Now proceed left hand side of the given expression:

We can write the expression  as,

⇒[(sin²(x))² - (cos²(x))²]/(sin²(x) - cos²(x))

Since we know that ,

Algebraic identity:

a² - b²  = (a-b)(a+b)

Therefore the above expression be

⇒(sin²(x) - cos²(x))(sin²(x) + cos²(x))/(sin²(x) - cos²(x))

⇒(sin²(x) + cos²(x))

Since we know that,

Trigonometric Identities come in handy when trigonometric functions are used in an expression or equation. Trigonometric identities hold for all values of variables on both sides of an equation. Geometrically, these identities include one or more trigonometric functions (such as sine, cosine, and tangent).

Then,

sin²(x) + cos²(x)² = 1 is an trigonometric identity

Hence,

(sin⁴(x) - cos⁴(x))/(sin²(x) - cos²(x)) = 1

Hence proved.

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Answer:

12-4r

Step-by-step explanation:

4r<12 because r<3 so you flip it.

Cramer's rule states that the solution to a system of equations can be determined by taking the determinant of the coefficient matrix, which in this case is 4, and then dividing each equation's determinant of the corresponding matrix by the determinant of the coefficient matrix. This allows us to solve for the variable y.

Cramer's Rule is a method used to solve systems of linear equations. It states that the solution to a system of equations can be determined by taking the determinant of the coefficient matrix and then dividing each equation's determinant of the corresponding matrix by the determinant of the coefficient matrix. This gives us the solution for the variable y. To calculate the determinant of the coefficient matrix, we take the product of the diagonal elements and subtract the product of the elements that are not on the diagonal The determinant is calculated by taking the product of a and d, and then subtracting the product of b and c. Once we have the determinant of the coefficient matrix, we can calculate the determinants of each equation's corresponding matrix by replacing the y in the equation with 1 and the other coefficients with the original coefficients of the equation. We then divide each equation's determinant by the determinant of the coefficient matrix to solve for y. This method is useful as it allows us to solve a system of equations with multiple variables in a quick and efficient manner.

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Answer:

8 inches

Step-by-step explanation:

90 miles -------------> represented by 3 inches

1 mile -------------> represented by 3/90 inches

240 miles ----------> represented by 3/90 x 240 = 8 inches

Answer:

y = 4 1/2

x = 8 1/2

Step-by-step explanation:

x + y = 13

x - y = 4

substitution method:  let x = 4+y

4+y + y = 13

2y = 9

y = 4 1/2

x = 8 1/2

The absolute increase from the younger group to the older group is 59.9% - 14.3% = 45.6%. Rounding to the nearest point, the answer is 46 points.

The absolute increase is the difference between two values, regardless of the direction of change. In this case, we want to find the absolute increase in the percentage of people who vote from the younger group (20-25 years old) to the older group (60-65 years old).

To find the absolute increase, we subtract the percentage of people who vote in the younger group from the percentage of people who vote in the older group, taking the absolute value of the result.

So, the absolute increase in the percentage of people who vote from the younger group to the older group is:

|59.9% - 14.3%| = 45.6%

This means that the percentage of people who vote in the older group is 46 percentage points higher than the percentage of people who vote in the younger group.

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Answer:

A and C

Step-by-step explanation:

Since it is isosceles two sides should be equal and we already know the perimeter is 21in.

5+5+11=21in

5+8+8=21in

Answer:

A and C

Step-by-step explanation:

Since it is isosceles two sides should be equal and we already know the perimeter is 21in.

5+5+11=21in

5+8+8=21in

The coupon rate of the bond in fraction is 6 5/8 and in percentage is 6.625% and maturity date is 2034.

What is a fraction?

A fraction is written as a ratio of two integers, where the number on top is called the numerator and the number on the bottom is called the denominator. The denominator represents the total number of equal parts that make up a whole, while the numerator represents the number of parts that are being considered. For example, the fraction 2/5 represents 2 parts out of 5 equal parts that make up the whole. Fractions can be used to represent numbers between whole numbers, such as 1/2, 3/4, and 7/8.

Now,

The coupon rate of the bond is 6 5/8 or 6.625%.

The maturity date is not explicitly given in the bond listing. However, based on the convention used in bond listings, the year of maturity can be inferred from the number in the bond name. In this case, the bond name is "PacBell 6 5/8 34", which suggests that the bond matures in 2034.

Therefore, the answer is:

a. The coupon rate is 6 5/8 and the maturity date is 2034.

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SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given set of values

STEP 2: Write the formula for calculating the Standard deviation of a set of numbers

STEP 3: Calculate the mean

STEP 4: Calculate the Standard deviation

Hence, the standard deviation of the given set of numbers is approximately 76.68 to 2 decimal places.

STEP 5: Calculate the First and third quartile

STEP 6: Find the Interquartile Range

Hence, the interquartile range of the data is 116

Robert's dimes are anywhere between 17 and 19.

Nickels

are worth 5 cents, and

dimes

are worth 10 cents. Since Robert has 10 nickels, he already has 50 cents. To reach a minimum of $2.20, or 220 cents, Robert needs at least 170 more cents. Because each dime is worth 10 cents, he needs a minimum of 17 dimes. If he has a maximum of 29 coins in total, subtracting the 10 nickels means that he can have up to 19 dimes. So, Robert could have anywhere between 17 and 19 dimes.

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Allison purchased lemons for $0.75 each.

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The graph is showing.

Now, Two point on the line are (4, 3) and (8. 6)

Hence, Equation of line is,

⇒ y - 3 = (6 - 3) / (8 - 4) (x - 4)

⇒ y - 3 = 3/4 (x - 4)

⇒ 4 (y - 3) = 3 (x - 4)

⇒ 4y - 12 = 3x - 12

⇒ 4y = 3x

⇒ y = 3/4x

⇒ y = 0.75x

Where, y is cost and x is number of lemons.

Hence, Allison purchased lemons for $0.75 each.

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Answer:

The answer is A

Step-by-step explanation:

Triangle DEF was rotated and dilated so that's why is looks different than triangle ABC, but it maintained the same shape that is presented in ABC and that is why A is the answer.

Step-by-step explanation:

a² + b²

difference of two square

= (a + b)(a - b)

Answer:

see explanation

Step-by-step explanation:

(a + b)(a - b)

each term in the second factor is multiplied by each term in the first factor, that is

a(a - b) + b(a - b) ← distribute parenthesis

= a² - ab + ab - b² ← collect like terms

= a² - b²

Answer:

\(a^{2}(24a^{2}+36a+12)\)

Step-by-step explanation:

Area of rectangle= Length*Width

so \((6a^{2}+9a+3)*4a^{2}\)   multiply each coefficient of a times 4a^2

\(24a^{4}+36a^{3}+12a^{2}\)  then take a^2 common factor so it will be

\(a^{2}(24a^{2}+36a+12)\)=area

Answer:

Step-by-step explanation: I am trying to interpret the question: I'll assume:

Line AB has a midpoint, M.

A is (8,4)

B is unknown, but desired

M is (3,-2)

We'll assume a straight line of the form y=mx+b, where m is the slope. m can be calculated by the "Rise" over the "Run" between the points A and M:

Rise = (4-(-2))=6

Run = (8-3)=5

Slope = (Rise/Run) = (6/5)

The line becomes y=(6/5)x+b

Calculate b, the y-intercept (the value of y when x is 0), by entering one of the two known points. I'll choose (8,4).

y=(6/5)x+b

4 = (6/5)(8)+b

b = 4 - (6/5)(8)

b = 4 - (48/5)

b = 4 - (9 3/5) or -5 3/5

The equation becomes:

y=(6/5)x - 5 3/5

Point B will have an x value of -2 [The change in x from A to M was (3-8) = -5. From M to 5 would be another -5 increment, so x goes from 3 to (3-5) or -2.

Find the value of y for x=-2:

y=(6/5)x - 5 3/5

y=(6/5)*(-2) - 5 3/5

y=(-12/5) - (28/5)

y = -(40/5) or - 8

B has coordinates of (-2, -8)

If coordinates of point A is (8, 4), then the coordinate of point B will be (-2, -8).

The "Midpoint-Formula" is used to find the coordinates of a point that lies exactly halfway between two given points. It's given as :Midpoint (M) = ((x₁ + x₂)/2, (y₁ + y₂)/2),

In this case, we have the midpoint as M(3, -2) and one of the endpoints as A(8, 4). We need to find coordinates of other endpoint which is B,

Using the midpoint formula, we rearrange it to solve for the missing coordinates (x₂, y₂),

x₂ = 2 × Mₓ - x₁,

y₂ = 2 × \(M_{y}\) - y₁,

Substitute the given values:

We have : Mₓ = 3; \(M_{y}\) = -2,

x₁ = 8; y₁ = 4

x₂ = 2 × 3 - 8 = -2;   y₂ = 2 × -2 - 4 = -8,

Therefore, the coordinates of point-B is(-2, -8).

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The given question is incomplete, the complete question is

The midpoint line AB is M(3, -2). If the coordinates of A is (8,4), What are the coordinates of B?