What is the slope of the line shown in the graph?
A 3/2
B 2/3
C -3/4
D - 2/3

Answer:

3.600

Step-by-step explanation:

0.25(x+1.6)+5x=18

Open the bracket first

0.25x+0.72+5x=18

Collect like terms

0.25x+5x=18-0.72

5.25x=18.72

Divide both sides by 5.25

x=3.566~3.600(nearest hundredth)

Answer:

x ≈ 3.2

Step-by-step explanation:

0.45(x + 1.6) + 5x = 18

45/100(x + 16/10) + 5x = 18

¹⁰⁾45x/100 + 720/1000 + ¹⁰⁰⁰⁾5x = ¹⁰⁰⁰⁾18

450x + 720 + 5000x = 18000

5450x = 18000 - 720

5450x = 17280

x = 17280/5450

x = 3.17

x ≈ 3.2

Answer:

127.4

Step-by-step explanation:

a^2+b^2-2(ab)CosC

The side f will be 127.41 cm long.

The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them.

Given is triangle DEF, we need to find the length of the side f, if d = 92 cm, e = 42 cm and ∠F = 141°.

So, using the cosine law,

[tex]c^2=a^2+b^2-2ab\cdot \cos \left(\gamma \right)[/tex]

Therefore,

[tex]f=\sqrt{d^2+e^2-2de\cos 141_{\degrees}[/tex]

[tex]f=\sqrt{42^2+92^2-2\cdot \:42\cdot \:92\cos \left(141^{\circ \:}\right)}[/tex]

f = 127.41

Hence the side f will be 127.41 cm long.

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Answer:

q=1

Step-by-step explanation:

5+4q=6+3q

subtract 3q on both sides

5+q=6

subtract 5 on both sides

q=1

BRANLIEST PLZ!!!!

Answer:

q=1

Step-by-step explanation:

5+4q=6+3q

  -3q      -3q

5+q=6

-5      -5

     q=1

Answer:

"Create a circle whose center is one of the endpoints of the segment. The length of the radius of the circle is one of the other given lengths." is not necessary to create a triangle

Step-by-step explanation:

Answer:36 units2

Step-by-step explanation:

Took the testc

The sum of the areas of the two shaded sectors is 36 π units²

A sector is said to be a part of a circle made of the arc of the circle along with its two radii.

Given that a circle, with central angle 80° and the radius is 9 units

So, area of a sector = θ/360° x π x radius², where θ = central angle

Since, both the sectors are vertically opposite to each other so will same areas,

Therefore, the area of the two shaded sectors,

= 2θ/360° x π x radius²

= 2·80/360 × π × 9²

= 4/9 × π × 81

= 36π

Hence, the sum of the areas of the two shaded sectors is 36 π units²

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The complete question is attached

Answer:

20

Step-by-step explanation:

Answer:

answer is 1230

Step-by-step explanation:

0.000000123 since 10 is positive you go right 10 times i hope this is right

Answer:

cells bacteria enzymes

Step-by-step explanation:

The amount of the IRS fee you will have to pay is A. $750.00.

Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

Percentage is usually denoted by the symbol '%'.

Given that,

Amount you invested at the age of 40 = $20,000

You will receive payments at the age of 50.

Amount withdrawn at the age of 47 = $7500

IRS charges 10% if you withdraw before you are 59.5.

Since your age is 47, you have to pay 10% IRS fees.

IRS fees = 10% of 7500

              = 10/100 × 7500

              = $750

Hence the IRS fee you will have to pay is A. $750.00.

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Huh, alright?

The equation would be (n - 14) / 3 = -8

Hope that helps! :)

Answer:

it should equal 68 degrees.

Step-by-step explanation:

if you are looking for the value of m<1, you would first need to find the value of the missing angle on the left triangle. the angles in triangles are equal to 180 degrees, so the equation would be 180 = 50 + 80 + x, and x = 50.

Then move to the middle triangle. The angle you solved for has an angle "connected" to it, its vertical pair, which also equals 50. Then you solve for the last angle, the angle on the right. 180 = 50 + 62 + x, and x = 68.

m<1 is equal to its vertical angle, which is the angle you just solved for. its value should be 68 degrees.

if that wasn't what you were looking for, sorry. hope this helped :)

Using the Pythagorean theorem, it is determined that the paths between the three cities, given their distances of 200 km, 300 km, and 400 km, do not form a right triangle because the sum of the squares of the shorter distances does not equal the square of the longest distance.

To determine if the paths between the three cities form a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b).

The equation is a² + b² = c².

According to the provided distances, one city is 200 kilometers (a) from a third city, and the other city is 300 kilometers (b) from the third city.

The two original cities are 400 kilometers (c) apart.

Plugging these numbers into the Pythagorean theorem:

Since a² + b² does not equal c² (130000 ≠ 160000), the paths do not form a right triangle.

Answer: Y=8

Step-by-step explanation:

Final answer:

To find the new value of y when x = 2 and knowing that y varies inversely with x, we first calculate the constant of variation k with the given values and then apply it to find the new y value, resulting in y = 8.

Explanation:

To solve the problem where y varies inversely with x, we use the inverse variation formula, which is y = k/x, where k is the constant of variation. First, we will find the value of k using the given values of y and x when y = 4 and x = 4.

Using the formula and substituting the known values:

k = xy = 4 × 4 = 16

Now, using k and solving for y when x = 2:

y = k/x = 16/2 = 8

Therefore, when x = 2, y = 8.

Answer:

2 hours

Step-by-step explanation:

30 miles/x hours = 15 miles/1 hour

30 = 15x

x = 2 hours

To find the time it took to get to the store, divide the distance traveled (30 miles) by the average speed (15 mph), which results in 2 hours. Thus, the trip took 2 hours.

To calculate the time it took to get to the store, we can use the formula time = distance ÷ speed. In this case, the vehicle traveled 30 miles at an average speed of 15 miles per hour. Therefore, the time can be calculated as follows:

Time = 30 miles ÷ 15 miles per hour = 2 hours.

So, it took 2 hours to get to the store.

Answer:

decrease, increase.

Step-by-step explanation:

Answer:

The GCF of 3x^4, 15x^3 and 21x is 3x^2

Step-by-step explanation:

3x^2(x^2), 3x^2(5x) , 3x^2(7)

Answer:

3

Step-by-step explanation:

3*4=12

15*3=45

21x= 7*3*x

Answer:She would need 144 liters of soda

Step-by-step explanation:

Answer:

12 liters

Step-by-step explanation:

Since she needs three liters for every 12 guests, and there are 48 guests, we should see how many times 12 goes into 48:

48/12 = 4

Therefore, you need to multiply the amount needed for 12 guests by four:

3 x 4 = 12

You need 12 liters.

Based on the table of values, the slope of the points is equal to: B. 2.

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

[tex]Slope(m)=\frac{y_2-y_1}{x_2-x_1}[/tex]

Based on the information provided, we can logically deduce that some of the points are as follows;

Points = (3, 3) and (4, 5)

By substituting the given data points (3, 3) and (4, 5) into the formula for the slope of a line, we have the following:

Slope (m) = (5 - 3)/(4 - 3)

Slope (m) = 2

In conclusion, we can logically deduce that the slope of the points is equal to 2 based on the table of values.

Complete Question:

Use the table to find the slope.

-2

2

1/2

-1/2

The answer for this question is C

Answer:

I believe the answer is 12 hours long all year seen a diagram of the earths axis over all the  year

Step-by-step explanation:

She will gain $ 6885.4896 after 10 years if she chooses 3.85% account.

Step-by-step explanation:

Given,

Principle (P) = $ 15000

Time (T) = 10 years

Rate of interest (R) = 3.85%

To find the compound interest.

Formula

CI = [tex]P(1+\frac{R}{100} )^{T}-P[/tex]-P

Putting the values we get,

CI =  [tex]15000(1+\frac{3.85}{100} )^{10}-15000[/tex]

= 21885.4896-15000

= 6885.4896

Hence,

She will gain $ 6885.4896.

Answer: 64.08

Step-by-step explanation:

Since the 8 is in the hundredth place and there's no thousandths place the number doesn't change leaving u with 64.08

Answer:

1st one

Step-by-step explanation: The line is the average of all the dots

Answer:

B

Step-by-step explanation:

Got it right

Answer:

No, not exactly. But they do cross the same point

Step-by-step explanation:

Basically, the axis of symmetry is a line that runs through the vertex,

The vertex is a single point on the line,

They both mark the graphs turning point though!

Answer:

2677

Step-by-step explanation:

Let's make this easier first of all:

a^2-y^3(a-y^2)y^2

a^2-y^5(a-y^2)

a^2-ay^5+y^7

(-2)^2-(-2)(3)^5+3^7

4-(-2*243)+2187

4-(-486)+2187

4+486+2187

490+2187

2677

Answer:

2677

Step-by-step explanation:

a² - y⁵(a - y)²

(-2)² - (3⁵)(-2 - 3²)

4 - (243)(-11)

2677

Answer:

easy so first 190-15=175  175 lbs. is the light heavyweight class weight limit

Step-by-step explanation:

Answer:

Expression: 12/(3*4)

Answer: 1

Step-by-step explanation:

[tex]\frac{12}{3*4} \\[/tex]

[tex]\frac{12}{12}=1[/tex]

Final answer:

The phrase 'the quotient of 12 and the product of 3 and 4' translates to the algebraic expression 12 ÷ (3 × 4), which simplifies to 1.

Explanation:

To translate the given phrase into an algebraic expression, we need to understand the terms used. The phrase is 'the quotient of 12 and the product of 3 and 4'. A 'quotient' is the result of division, and a 'product' is the result of multiplication. First, let's find the product of 3 and 4, which is 3 × 4. This equals 12. Now, we take the quotient of 12 by that product, which means we divide 12 by 12. So, the algebraic expression is 12 ÷ (3 × 4).

When we simplify this expression, since 3 × 4 equals 12, and 12 divided by 12 is 1, the expression simplifies to 1. Therefore, the simplified algebraic expression for the phrase 'the quotient of 12 and the product of 3 and 4' is 1.

Answer:

4+36x

Step-by-step explanation:

Use the distributive property to multiply the equation. 1 times 4 is 4. 9 times 4 is 36 and you must leave the x as a variable.

Answer:

Option C

Step-by-step explanation:

If angle w is 112, angle x has to also be 112

so 112+112=224

all of the angles summed up has to 360, so you subtract 360-224

which equals 136

then divide by 2 and you get 68

Hopefully this makes sense

Answer:

The answer is C: 68

Step-by-step explanation:

The trapezoid has a total amount of 360 degrees.

W = 112 degrees.

W and X are congruent so X also equals 112

SO if you add them together, it is equal to 224.

Subtract from 360 and 136 is left.

Divide by 2 because there is Z and Y(2 angles left) which are also congruent.

This gives the angles measurements of 68 for both Z and Y