the 17th term of an A.P is 13 times the second term.prove that the twelve term is five term the third term.​

Answer:

The side length of the square will be 11 cm.

Step-by-step explanation:

Tessa wants to make a bandana for her dog by folding a square cloth into a 45-45-90 triangle.

Her dog's neck has a circumference of about 32 cm. the folded bandana needs to be an extra 16 cm long so Tessa can tie it around her dog's neck.

So, the hypotenuse of the 45-45-90 triangle has a length of (32 - 16) = 16 cm.

As a 45-45-90 triangle is an isosceles right triangle with side length a cm (say), then

[tex]\sqrt{a^{2} + a^{2}} = 16[/tex]

⇒ 2a² = 16² = 256

⇒ a² = 128

⇒ a = 8√2 cm.

Therefore, the side length of the square will be 8√2 cm ≈ 11 cm. (Answer)

The side length of the square should be [tex]34cm[/tex] (to the nearest cm)

After folding the square cloth into a bandana, the diagonal has to be [tex]32cm+16cm=48cm[/tex] so that it can tie around the dog's neck.

Using Pythagoras' theorem, the relationship between the sides of the square cloth and the diagonal will be

[tex]diagonal=\sqrt{side^2+side^2}\\diagonal=side\sqrt{2}[/tex]

substituting and solving for the required side length, we get

[tex]48=side\sqrt{2}\\side=24\sqrt{2}\approx 34cm[/tex]

So, the required side length of the square is [tex]34cm[/tex] (to the nearest cm)

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Answer:

[tex]y=\frac{1}{2}x-3[/tex]

Step-by-step explanation:

step 1

Find the slope of AB

we know that

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

we have

A(5,-1), B(9, -9)

substitute the values

[tex]m=\frac{-9+1}{9-5}[/tex]

[tex]m=\frac{-8}{4}[/tex]

[tex]m=-2[/tex]

step 2

Find the slope of the line that is perpendicular to AB

we know that

If two lines are perpendicular, their their slopes are opposite reciprocal (the product of their slopes is equal to -1)

we have

[tex]m_A_B=-2[/tex]

therefore

The slope of the perpendicular line is

[tex]m=\frac{1}{2}[/tex]

step 3

Find the equation of the line in point slope form

[tex]y-y1=m(x-x1)[/tex]

we have

[tex]m=\frac{1}{2}[/tex]

[tex]C(4,-1)[/tex]

substitute

[tex]y+1=\frac{1}{2}(x-4)[/tex]

step 4

Convert to slope intercept form

Isolate the variable y

[tex]y+1=\frac{1}{2}x-2\\\\y=\frac{1}{2}x-2-1\\\\y=\frac{1}{2}x-3[/tex]

Kramer collected = 225000

Elaine collected   = 5000

Newman collected = 45000

Solution:

Given Jerry collected 45000.

Kramer collected = 5 times more than Jerry collected

                             = 45000 × 5

                             = 225000

Kramer collected = 225000

Elaine collected   = 9 times less than Jerry collected

                             = 45000 ÷ 9

                             = 5000

Elaine collected   = 5000

Newman collected = same as Jerry collected

                                = 45000

Newman collected = 45000

Hence, Kramer collected = 225000

Elaine collected   = 5000

Newman collected = 45000

Answer:

2025000 kramers collected

Step-by-step explanation:

Step-by-step explanation:

There are 3 people in total, Danielle and w of her friends. Since they paid $5 each they paid $15 in total for the 50 tickets. To find the price per ticket simply divide the total paid by the amount of tickets.

Price per ticket = 15.0÷50 = $0.30

Answer: Each ticket cost 0,3$

Step-by-step:

You have to divide 15 by 50 (15/50)

In this way you get the answer really quickly.

Hope I helped you!

Answer:

The answer is that 5x to the third times 6 is 30x³

Step-by-step explanation:

Let's answer the question, this way:

5x to the third = 5x³

5x³ times 6 = 5x³ * 6 = 30x³

The answer is that 5x to the third times 6 is 30x³

Answer:

The slope is 0

Step-by-step explanation:

This is a horizontal line, and all horizontal lines have a slope of 0.

(to see why, just pick any two points, and work out the change in x over the change in y. i.e. rise/run.  Since the y coordinates are all equal to 2, the numerator will be 2 -2, meaning the fraction is 0).

The slope is 0. This is because the line is horizontal. Any horizontal line has a slope of 0. Please tell me if you understand! I hope this helps!

You are correct. The scale factor is 1/5 = 0.2

Nice work.

9514 1404 393

Answer:

  5

Step-by-step explanation:

The evaluation can be easier if terms are collected first.

  3xy+7x^2−3x^2y+3y^2x−2x^2−2xy+4x^2y−2y^2x

  = x^2y(-3+4) +xy^2(3-2) +x^2(7-2) +xy(3-2)

  = x^2y +xy^2 +5x^2 +xy

  = x(xy +y^2 +5x +y)

Filling in the numbers, we have ...

  = (1)(1(-2) +(-2)^2 +5(1) +(-2))

  = -2 +4 +5 -2

  = 5

The value of the polynomial is 5.

Answer: subtract

Step-by-step explanation: you’ll see

The smallest number of bills and coins to make up $88.98 is: 4 $20, 1 $5, 3 $1, 3 quarters, 2 dimes, 3 pennies.

The change due back to the customer is $88.98. The smallest number of bills and coins that equals this amount can be broken down as follows:

So, the smallest amount of bills and coins possible to make up $88.98 is: 4 $20, 1 $5, 3 $1, 3 quarters, 2 dimes, 3 pennies.

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Answer:

for -3/4 it is -0.65 and for -1/2 it is -3/5

Step-by-step explanation:

Final answer:

The numbers closest to -3/4 (-0.75) and -1/2 (-0.5) on the number line are -0.65 and -0.6 (or -3/5), respectively.

Explanation:

The question involves identifying which numbers on a list are closest to -3/4 and -1/2 on the number line. To do this, we should consider converting all the fractions and decimals to a common format (decimals) to easily compare their distances to -3/4 (which is -0.75 as a decimal) and -1/2 (which is -0.5 as a decimal).

The numbers provided are:

-0.65

-1/3 (which is approximately -0.333 as a decimal)

-7/8 (which is -0.875 as a decimal)

-3/5 (which is -0.6 as a decimal)

Now, to determine which numbers are closest to -3/4 and -1/2:

For -3/4 (-0.75), the closest number is -0.65.

For -1/2 (-0.5), the closest number is -0.6 (or -3/5).

I believe it would be (5 x 600)+(5x80) = 3400

Find the number y, if 3 1/3 of y is 60. y is 18

Find the number x, if 11/5 of x is 55. x is 25

Answer:

10;40

Step-by-step explanation:

I hope this help you with what you need

Answer:

See attachment

Step-by-step explanation:

We want to graph

[tex]y = 2 \cos(x) - 1[/tex]

on the interval (-2π, 2π)

First we graph

[tex]y = \cos(x)[/tex]

Then we stretch vertically by a factor of 2 and shift down 1 unit.

Since the amplitude is 2 and the graph is shifted down 1 unit, the range of the transformed graph is

[tex] - 3 \leqslant y \leqslant 1[/tex]

The graph is shown in the attachment

The number of dump truck needed to clear the 40,000 cubic yards is determined as 2,667 trucks.

The rate of dump clearing is determined as follows;

R = 3000 dumps/200 truck

R = 15 dumps/truck

The number of dump truck needed to clear the 40,000 cubic yards is calculated as follows;

N = 40,000/15

N = 2,666.67 trucks

N ≅2,667 trucks

Thus, the number of dump truck needed to clear the 40,000 cubic yards is determined as 2,667 trucks.

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To clear the slide that left 40,000 cubic yards of material on the road, approximately 2,666.67 dump truck loads would be needed.

In the first scenario, a landslide resulted in 3,000 cubic yards of material obstructing the highway. This volume of material requires 200 dump truck loads for removal.

By dividing the total volume (3,000 cubic yards) by the number of loads (200), we can calculate that each dump truck load can carry 15 cubic yards of material.

3,000 / 200 = 15 cubic yards of material.

Now, applying this knowledge to the second scenario, where a landslide left 40,000 cubic yards of material on the road, we can determine the number of dump truck loads needed to clear it.

By dividing the total volume of material (40,000 cubic yards) by the volume each truck load can carry (15 cubic yards), we get the number of dump truck loads required for cleanup.

=> 40,000 / 15 = 2,666.67

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Answer:

the equation that contains the following 2 points is y=5x-16 which is C.

Without the markup percentage or discount percentage, it is impossible to calculate the actual cost price the store paid for the trumpet. One needs this additional information to provide a precise answer.

The question "if the price tag on a trumpet says $104, how much did the store pay for it" cannot be answered with the information provided. To calculate how much the store paid for the trumpet, we need additional details such as the markup percentage or the discount percentage. Retail stores typically apply a markup to the cost of the goods they purchase from suppliers to cover their operating expenses and make a profit.

Let's assume the markup percentage is known. For example, if a store generally marks up items by 50%, and the selling price of the trumpet is $104, we can calculate the store's cost using the formula: Cost Price = Selling Price / (1 + Markup Percentage). So the cost would be $104 / (1 + 0.50), which is $69.33.

Without the markup or discount information, it is impossible to determine the exact cost price that the store paid for the trumpet.

Answer:

It’s B

Step-by-step explanation:

Final answer:

The correct statement is that if there is a definite pattern in the residual plot, the least squares regression line is not a good fit. It indicates that potentially another model might better capture the variability in the data. So the correct option is B.

Explanation:

The correct statement about the residual plot for a set of data with a linear regression equation is that if there is a definite pattern in the residual plot, it suggests that the least squares regression line is not a good fit for the data. A good fit would be indicated by residuals that are randomly scattered around the horizontal axis, with no apparent pattern. This is because the residuals, which represent the differences between the observed values and the values predicted by the regression line, should not correlate if the model is appropriate for the data set.

The correct option is B) The least squares regression line is not a good fit as there is a definite pattern in the residual plot. This indicates that the linear model may not be capturing all the variability in the data, and some other models might be more appropriate. Option A is incorrect because a definite pattern in the residuals is a sign of a poor fit. Options C and D are not correct because having the same number of points above and below the line does not necessarily mean the model is a good fit; it's the pattern in the points that matters.

Since 9 is 3², each digit in base nine takes two digits in base 3.

2₉ = 02₃

6₉ = 20₃

7₉ = 21₃

1₉ = 01₃

Putting it together

2671₉ = 2202101₃

Answer:

6.875

Step-by-step explanation:

Used a calculator to solve this one, it might be incorrect, i suggest doing some extra research on how to solve to see if you get this answer ;)

Answer:

A dilation with a scale factor greater than 1 and then a translation.

Answer:

A

Step-by-step explanation:

Answer:

Approximately 43 feet of minimum cable is needed.

Step-by-step explanation:

This problem can be solved using Trigonometry and Pythagorean theorem. Pythagorean theorem applies on right-triangles (which are known to have one 90° angle). The theorem states that the square of the Hypotenuse is obtained by the squared sum of the other two sides of the triangle (i.e the two sides forming the 90° angle - with the hypotenuse side being across it as:

[tex]h^2=a^2+b^2[/tex]           Eqn. (1)

where

[tex]h[/tex] is the hypotenuse

[tex]a[/tex] is a side

[tex]b[/tex] is a side

Now in this case, the utility pole must be perpendicular to the ground and the anchor being parallel to the ground, and a 90° angle formed between them. Conclusively the cable length will be represented by the hypotenuse in a right triangle. So here we have [tex]a=40ft[/tex] and [tex]b=15ft[/tex]. Plugging in Eqn.(1) and solving for [tex]h[/tex] we have:

[tex]h^2=40^2+15^2\\h=\sqrt{40^2+15^2} \\h=\sqrt{1600+225}\\ h=\sqrt{1825}\\ h=5\sqrt{73}\\ h=42.72ft[/tex]

So we conclude that the minimum length of cable needed by Lamont is

≈43 feet (rounded up).

Answer:

slope = undefined

Step-by-step explanation:

for two points (x1,y1) (x2, y2)

slope, m = (y2 - y1)/(x2 - x1)

so, for (-1,-10) (-1,-2)

slope = (-2 - (-10))/(-1 -(-1)) = 8/0

slope = undefined

Each ounce of milk contains 20 calories, because 200/10 = 20.

Answer:

x = 54 and none of the alternatives given is correct

Step-by-step explanation:

Let's solve for x in the equation given, this way:

2/3 ÷ 3x = 12

2/3 * x/3 = 12

2x/9 = 12

2x = 108

x = 108/2 = 54

Proof of x = 54

2/3 * 54/3 = 108/9 = 12

x = 54 and none of the alternatives given is correct

Answer:

x = 7/4   or  x = 1.75  or  x = 1 and 3/4

they all mean the same thing but there just in different forms (decimal form, fraction form, and mixed number form)

Answer:

The scale 150 metres : 1 centimeters is the map using.

Step-by-step explanation:

Given:

2 fields are 1,200 meters from each other.

On a map the 2 fields are 8 centimeters apart.

Now, to find the scale map is using.

Actual distance between the 2 fields = 1200 meters.

Distance in the map between the 2 fields = 8 centimeters.

So, to get the scale map is using we find the ratio:

[tex]Actual\ distance\ between\ the\ 2 fields/ Distance\ in\ the\ map\ between\ the\ 2 fields[/tex].

[tex]=\frac{1200}{8}[/tex]

[tex]=\frac{150}{1}[/tex]

[tex]=150\ meters:1\ centimeters[/tex]

Therefore, the scale 150 metres : 1 centimeters is the map using.

Answer:

Hello! I'm currently doing the test right now on e d g e n u i t y 2/28/2022 and I believe that the right answer is: m<X = 140  and m<Y = 94

Step-by-step explanation: Sorry if I'm wrong.

:)

The pair of measurements that are possible in congruent quadrilaterals are Measure of angle X = 94 degrees and Measure of angle Z = 79 degrees.

Quadrilateral WXYZ is congruent to quadrilateral RSTQ if their corresponding angles are congruent. Let's compare the measurements of the angles in both quadrilaterals:

Therefore, the pair of measurements that are possible in congruent figures are:

Answer:

The two congruent segments are EF and GF, and EH and GH.

Step-by-step explanation:

That being said, your answer is A because EF and GF are in fact congruent segments.

I hope this helps!

- sincerelynini