Will give brainliest!!!

Answer:

2√2 units.

Step-by-step explanation:

To find the length of the line joining points A(3, 5) and B(1, 3), we can use the distance formula. The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Substituting the coordinates of points A and B into the formula, we have:

d = sqrt((1 - 3)^2 + (3 - 5)^2)

  = sqrt((-2)^2 + (-2)^2)

  = sqrt(4 + 4)

  = sqrt(8)

  = 2sqrt(2)

Therefore, the length of the line joining points A and B is 2√2 units.

Answer:

C

Step-by-step explanation:

The width of the screen is approximately 15.65 or √(245) inches. The correct answer would be an option (C).

Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.

The height of the screen (AB) is 14 inches, and the diagonal distance (AC) is 21 inches.

AB² + BC² = AC²

We can use these values to solve for the width of the screen (x):

x² = 21² - 14²

x²  = 441 - 196

x²  = 245

To solve for x, we can take the square root of both sides of the equation:

x = √(245)

x ≈ 15.65

Thus, the width of the screen is about 15.65 or √(245) inches.

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This is a simple cross multiplication problem! Any time you're given a ratio and then the actual quantity of something, you can use cross multiplication to figure out the quantity of the other thing!

We know that the ratio of toads to frogmen is 7 : 2. We also know there were 98 actual toads. Therefore we can set up our equations!

\(ratio_{toads}=ratio_{frogmen}\\actual_{toads}=actual_{frogmen}\\\\7=2\\98 = x\\\\7x=196\\x=28\)

The first two equations above everything is how you would have everything set up! The second equations under them are the numbers plugged in, and the rest is just simplification.

So, your final answer should be 28 frogmen!

Answer:

1/2

Step-by-step explanation:

In a deck of cards, there are 13 hearts and 13 diamonds

13+13 = 26 hearts or diamonds

P( hearts or diamonds) = numbers of hearts or diamonds / total

                                       =26/52

                                       = 1/2

Answer:

the range of the histogram is 20 to 100

Answer:

The range is 4.

Step-by-step explanation:

The range is the difference between the lowest and highest values.

The highest value is 5.0 and the lowest is 1.0.

5 - 1 = 4

9. The regression line is given as follows: y = 8.5x + 3.7.

10. The estimate for 2022 is given as follows: 71.7 million dollars.

The regression line is obtained inserting the points of the table into a linear regression calculator.

From the table, the points are given as follows:

(1, 13), (2, 19), (3, 31), (4, 36), (5, 47).

(considering x as the number of years since 2014).

Inserting these points into a calculator, the equation is given as follows:

y = 8.5x + 3.7.

2022 is 8 years after 2014, hence the estimate is given as follows:

y = 8.5(8) + 3.7 = 71.7 million dollars.

(numeric value at x = 8, replace the lone instance of x by 8).

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Answer:

2h/ t^2 - 2v/t =g

Step-by-step explanation:

h = vt+1/2 gt^2

Subtract vt from each side

h - vt = vt+1/2 gt^2 -vt

h - vt = 1/2 gt^2

Multiply each side by 2

2( h-vt) = 2 * 1/2 g t^2

2 ( h-vt) = gt^2

Divide each side by t^2

2 ( h-vt) / t^2= gt^2/t^2

2/t^2 (h -vt) = g

Distribute

2h/ t^2 - 2v/t =g

y = -18(x-7)² + 1 is the vertex form of the given equation.

y = a (x − h) 2 + k, y is the y -coordinate, x is the x -coordinate, and a is the constant that tells you whether the parabola is facing up (+a) or down (-a).

Given that y = -18x² + 252x - 881, where a = -18, b = 252 and c = -881

h = -b/2a

h = -252/2*(-18) = 7

k = ah² + bh + c = -18*49 + 252*7 - 881 = 1

Therefore, putting the values in y = a (x − h) 2 we get,

y = -18(x-7)² + 1

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The total value of the prize is $936,000.

The state will need to invest $591,498.96 now at a 5% interest rate to cover the weekly prize payments for 20 years.

The total value of the prize is calculated by multiplying the annual payment by the number of years and is equal to:

=  $900/week x 52 weeks/year x 20 years

= $936,000.

We need to use the present value formula which is: PV = PMT x [1 - (1 + r)^-n] / r

Plugging in the values:

PV = $900 x [1 - (1 + 0.00096154)^-1,040] / 0.00096154

PV = $900 x 657.221075423

PV = $591,498.968.

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Answer:

57inches

Step-by-step explanation:

In order to determine how far the wheel travels, we will have to find the circumference of the wheel. This is expressed as;

Circumference of the wheel = 2πr

r is the radius of the wheel = 9in

Substitute

Circumference of the wheel = 2(3.14)(9)

Circumference of the wheel = 56.52inches

Hence the wheel travels 57inches to the nearest inch

Answer:

{(-5, -5),(-9,0),(-8,5), (-6,5)}

Step-by-step explanation:

A function cannot have a domain that is assigned to multiple values (range).

The first set has 6 assigned to both 7 and -6.

The second set has -7 assigned to both 7 and -7.

The third set has -9 assigned to both 2 and -8.

To find how many math majors can be chosen, we use combinations:

Then, if we have 11 math majors and we need to choose 3.

We got 11C3

Where the formula is given by:

Where n=11 and r=3

n is the total group and r the ways it can be chosen

Therefore:

Finally, we have 165 ways to choose three math majors.

Answer:

55

Step-by-step explanation:

\(\displaystyle MOE = z\biggr(\frac{\sigma}{\sqrt{n}}\biggr)\\\\4=1.96\biggr(\frac{15}{\sqrt{n}}\biggr)\\\\4=\frac{29.4}{\sqrt{n}}\\\\\sqrt{n}=\frac{29.4}{4}\\\\\sqrt{n}=7.35\\\\n=54.0225\\\\n\approx55\uparrow\)

Make sure to always round up the required sample size to the nearest integer!

Answer:

12y - x - 28 = 0

Step-by-step explanation:

............

Answer:

Undefined slope

Step-by-step explanation:

To calculate the slope between two points, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

The formula for the slope m between points (x₁, y₁) and (x₂, y₂) is: \(m=\frac{y_2-y_1}{x_2-x_1}\) , which is also known as "rise over run".

Here, we have the points (-9, 3) and (-9, 2).

x₁ = -9,  y₁ = 3,  x₂ = -9,  y₂ = -2. We can plug these values in to the "rise over run" equation:

\(m=\frac{-2-3}{-9-(-9)}\)

\(m=\frac{-5}{0}\)

This is a vertical line.

The slope of a line cannot be undefined (a vertical line), because the x-coordinate never changes no matter what the y-coordinate is. Thus, the slope is undefined for the line passing between these two points.

Answer:

20%

Step-by-step explanation:

The uniform cost $8 more than last year.

Last year was $40

Find what percent of 40 is 8.

8/0.4 = 20

the percent change is 20%

Answer:

m<UVT = 114°

Step-by-step explanation:

½(sum of intercepted arcs) = measure of vertex of an angle inside a circle

Thus:

½(FS + UT) = m<UVT

Substitute

½(53 + 175) = m<UVT

½(228) = m<UVT

114 = m<UVT

m<UVT = 114°

Answer:

The jumping dolphin is approx. 6 meters under sea level

The flying seagull is approx. 8 meters under sea level

The mobula ray is approx. 2 meters under sea level

The clownfish is approx.t 4 meters under sea level

The octopus is approx.  8 meters under sea level

The jumping dolphin: The mobula ray is 9 meters lower than the jumping dolphin.

The flying seagull: The mobula ray is 11 meters lower than the flying seagull.

The octopus: The mobula ray is 11 meters higher than the octopus.

The jumping dolphin: The albatross is 1 meter lower than the jumping dolphin.

The flying seagull: The albatross is 3 meters lower than the flying seagull.

The octopus: The albatross is 13 meters higher than the octopus.

The jumping dolphin: The clownfish is 8 meters lower than the jumping dolphin.

The flying seagull: The clownfish is 10 meters lower than the flying seagull.

The octopus: The clownfish is 6 meters higher than the octopus.

If the new dolphin is above the dolphin in the picture, then its distance from the surface of the ocean is 6 - 3 = 3 meters.

If the new dolphin is below the dolphin in the picture, then its distance from the surface of the ocean is 6 + 3 = 9 meters.

✧☆*: .｡. Hope this helps, happy learning! (✧×✧) .｡.:*☆✧

Answer:

78.57% (79% If you round)

Step-by-step explanation:

ANSWER

EXPLANATION

To `find x, we have to apply the trigonometric ratios SOHCAHTOA for tangent:

Therefore, we have that:

That is the answer.

the length of side a is 91 ft (rounded to the nearest whole foot) and the length of side b is 132 ft (rounded to the nearest whole foot). The area of the triangle is approximately 6007 sq ft.

Given: The hypotenuse of the right triangle,

c = 159 ft; angle A = 34°

We know that, in a right-angled triangle:

\($$\sin\theta=\frac{\text{opposite}}\)

\({\text{hypotenuse}}$$$$\cos\theta=\frac{\text{adjacent}}\)

\({\text{hypotenuse}}$$\)

We know the value of the hypotenuse and angle A. Using trigonometric ratios, we can find the length of sides in the right triangle.We will use the following formulas:

\($$\sin\theta=\frac{\text{opposite}}\)

\({\text{hypotenuse}}$$$$\cos\theta=\frac{\text{adjacent}}\)

\({\text{hypotenuse}}$$$$\tan\theta=\frac{\text{opposite}}\)

\({\text{adjacent}}$$\) Length of side a is:

\($$\begin{aligned} \sin A &=\frac{a}{c}\\ a &=c \sin A\\ &= 159\sin 34°\\ &= 91.4 \text{ ft} \end{aligned}$$Length of side b is:$$\begin{aligned} \cos A &=\frac{b}{c}\\ b &=c \cos A\\ &= 159\cos 34°\\ &= 131.5 \text{ ft} \end{aligned}$$\)

Now, we have the values of all sides of the right triangle. We can calculate the area of the triangle by using the formula for the area of a right triangle:

\($$\text{Area} = \frac{1}{2}ab$$\)

Putting the values of a and b:

\($$\begin{aligned} \text{Area} &=\frac{1}{2}ab\\ &=\frac{1}{2}(91.4)(131.5)\\ &= 6006.55 \approx 6007 \text{ sq ft}\end{aligned}$$\)

Therefore, the length of side a is 91 ft (rounded to the nearest whole foot) and the length of side b is 132 ft (rounded to the nearest whole foot). The area of the triangle is approximately 6007 sq ft.

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Answer:

Domain = (-∞, ∞) Range = (-∞, ∞)

End Behavior: As X -> -∞, Y -> -∞ | As X -> ∞, Y -> ∞

Inflection Point: (2,0)

Step-by-step explanation:

Answer:

$159.24 is the balance after 9 months is the answer that you seek

Step-by-step explanation:

Answer:

the savings plan balance after 9 months with an APR of 8% and monthly payments of $250 is approximately $2,366.98.

Step-by-step explanation:

To find the savings plan balance after 9 months with an APR of 8% and monthly payments of $250, we can use the formula for the future value of an annuity:

FV = Pmt x ((1 + r/n)^(n x t) - 1) / (r/n)

where:

FV = future value

Pmt = monthly payment

r = annual interest rate

n = number of compounding periods per year

t = time in years

In this case, we have:

Pmt = $250

r = 8%

n = 12 (since payments are made monthly)

t = 9/12 = 0.75 (since 9 months is three-quarters of a year)

Substituting these values into the formula, we get:

FV = $250 x ((1 + 0.08/12)^(12 x 0.75) - 1) / (0.08/12)

FV ≈ $2,366.98

Therefore, the savings plan balance after 9 months with an APR of 8% and monthly payments of $250 is approximately $2,366.98.

Answer:

9

Step-by-step explanation:

Answer:

In each bag there will be 1.82 ounces of mixture.

Step-by-step explanation:

Since Irene is making bags of trail mix for hiking club, and she will use 22 ounces of walnuts, 11.2 ounces of almonds, and 12.3 ounces of cashews to make 25 bags of trail mix, to determine how many ounces are in each bag you must perform the following calculation:

(22 + 11.2 + 12.3) / 25 = X

45.5 / 25 = X

1.82 = X

Thus, in each bag there will be 1.82 ounces of mixture.

Answer:

quad form is (plus or minus)

Step-by-step explanation:

\(-b +-\sqrt{b^2-4ac}/2a\)

Answer:

x=5

Step-by-step explanation:

well first 2(2x-5) turns to 4x-10  because of distributive prperty

then simplify the other side 3x+x-2x to 4x-2x to 2x

then subtract 4x from both sides and you get -10= -2x

after divied -2x/-2 and -10/-5

and get x=5

then plug in 5 into x to make sure both sides are equal

and they equal 10=10

The equation that can be used to determine the measure of ∠A is tanA = 9.4/6.7. The correct option is A. tanA=9.4/6.7

From the question, we are to determine which of the given equations can be used to determine the measure of ∠A

In the diagram,

If ∠A is the included angle

Then,

Using SOH CAH TOA

Opposite = 9.4

Adjacent = 6.7

Thus,

tanA = 9.4/6.7

Hence, the equation that can be used to determine the measure of ∠A is tanA = 9.4/6.7. The correct option is A. tanA=9.4/6.7

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Answer:

6/4 = 1 1/2  

1 2/4

12/8

Step-by-step explanation:

Three different expressions that are equivalent to the given expression are 6/4, 2/3 and 1 1/2.

The given expression is 1/4 + 5/4​.

We need to find three different expressions that are equivalent to the given expression.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

First, simplify the given expression.

That is, 1/4 + 5/4=6/4

=2/3=1 1/2

Therefore, three different expressions that are equivalent to the given expression are 6/4, 2/3 and 1 1/2.

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Answer: 4

Step-by-step explanation: