What is the sum of the first eight terms in this series?

2 + 10 + 50 + 250 + …

The percent of the people surveyed were satisfied with the​ car will

be 45%.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

Total number of people in a survey of car = 1,500

And, 675 people said they would buy that type of car again.

Now,

Total number of people in a survey of car = 1,500

And, The people surveyed were satisfied with the​ car = 675

Hence, The percent of the people surveyed were satisfied with the​ car is;

= 675 / 1500  x 100

= 0.45 x 100

= 45%

Thus, The percent of the people surveyed were satisfied with the​ car will

be 45%.

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The value of x according to the given equation as in the task content is; 3¹⁹.

It follows from the task content that the value of x is to be determined from the equation given in the task content.

Therefore, since the equation given in the task content is;

(81)⁵ = 3x

(3⁴)⁵ = 3x

3²⁰ = 3x

Therefore, the value of x can be evaluated as;

x = 3²⁰/3

x = 3¹⁹.

Ultimately, the value of x from the given equation is; 3¹⁹.

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Answer:

Step-by-step explanation:

AC is the diagonal of the parallelogram ADCB.

q is half of AC, therefore:

Substitute values and solve for x:

Find the length of AC:

The slope of the line that is perpendicular to y is m=6/7.

What do you mean by slope?

A number used to define a line's direction and steepness in mathematics is called the slope or gradient of the line.

The slope is denoted by m,

m = slope

According to the data in the given question:

We have to determine the slope of line that is perpendicular to y,

y=6/7x+2

For the slope, we need follow this equation, where m is slope,

y=mx+b............(1)

In the given question,

m=6/7

Therefore, the slope of the line is m=6/7.

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Using the trigonometry ratio, he angle of elevation of the ramp to the nearest degree is 11°.

In the given question,

A ramp goes from a doorway of a building to the ground.

The end of the ramp connected to the doorway is 1 foot above the ground.

The distance along the ramp to the building is 5 feet.

We have to find the angle of elevation of the ramp to the nearest degree.

The distance is 5 feet.

The height is 1 foot.

To find the angle of elevation we used the trigonometry ratio.

According the trigonometry ratio, we know that tangent is the ratio between height and distance.

We can write it as

tan A=height/distance

Now putting the value

tan A=1/5

tan A=0.2

So A = arctan(0.2)

A = 11.30°

A ≈ 11°

Hence, the angle of elevation of the ramp to the nearest degree is 11°.

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Answer:

r = 9

Step-by-step explanation:

Hello!

Solve for r by isolating the variable.

The value of r is 9.

Step-by-step explanation:

The base of the separated triangle is (x+5) - (2x - 4) = x + 5 - 2x + 4 = 9 - x

So, area of the separated triangle would be:-

1/2 * b* h

or, 1/2 * (9-x)* (x+3)

or, (6x + 27 - x² )/2

Total area of trapezium = (6x + 27 - x²)/2 + (2x-4)(x + 3)

or, 60 = (6x + 27 - x²)/2 + 2x² + 2x - 12

or, 60 = (6x + 27 - x² + 4x² + 4x - 24)/2

or, 120 = 10x + 3x² + 3

or, 0 = 3x² + 10x + 3 - 120

hence, 3x² + 10x - 117 = 0 (proved)

Again,

Use quadratic formula to figure out value of x.

(It woun't be a natural number)

Write the value of x with only one digit after it's decimal.

600 is the 80% of the the expected number

Number of people that expected to attend the concert = 750 people

Number of people that attended the concert = 600 people

600 is what percent of the expected number = ( Number of people that attended the concert ÷ Number of people that expected to attend the concert ) × 100

Substitute the values in the equation

600 is what percent of the expected number = (600 / 750) × 100

Divide the terms in bracket first

= 0.8 × 100

Multiply the given terms

= 80%

Hence, 600 is the 80% of the the expected number

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Answer: True

PLEASE GIVE ME BRAINLIEST THANK YOU VERY MUCH

True, the Subtraction Property of Equality can be used to solve it.

The equality subtraction property refers to balancing an equation by performing the same mathematical operation on both sides.

Let's work through your equation step by step.

4+x=13

Step 1: Take 4 off both sides.

4+x−4=13-4

x=9

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Answer:

765

Step-by-step explanation:

By using the formula for amount of money in a compound interest, it can be calculated that

Amount received after 7 years is $13675.08

What is a compound interest?

If the interest on a certain principal at a certain rate over a certain period of time increases exponentially rather than linearly, then the interest earned is called compound interest.

If p is the principal, r is the rate and n is the time in years, then

amount = [tex]p(1+\frac{r}{100})^n[/tex]

Difference between amount and principal gives the compound interest.

Principal = $8800

Rate = 6.5 %

Time = 7 years

Amount received = [tex]8800(1 + \frac{6.5}{100})^7[/tex]

                                 $13675.08

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The piece of information does he need is  ∠F ≅ ∠J.

What is triangle?

A triangle is a polygon with three sides having three vertices. The angle formed inside the triangle is equal to 180 degrees. It means that the sum of the interior angles of a triangle is equal to 180°. It is a polygon having the least number of sides.

Properties of triangle?

Given,

ΔFGH = ΔJKL

By SAS property of triangle;

[tex]\bar{FH}[/tex] ≅ [tex]\bar{JL}[/tex],     FG ≅ JK

third property ,

                         ∠F = ∠J

By SAS property at least two side their ratio must be equal and one angle.

[tex]\frac{FG}{JK} = \frac{FH}{JL}[/tex]

∠F = ∠J

So, option A is correct.

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Using mathematical operations of addition and subtraction, Rodrigo needs to buy additional 2⁷/₂₄ pounds of vegetables.

The basic mathematical operations are addition, subtraction, division, and multiplication.

These mathematical operations can be used to determine the results of mathematical expressions.

The total pounds of vegetables required for a stew = 3 pounds

Available pounds of vegetables:

Onions = 3/8 pounds

Tomatoes = 1/3 pounds

The total available pounds = 17/24 pounds

Additional pounds required = 3 - 17/24 pounds

= 2⁷/₂₄ pounds

Thus, based on addition and subtraction, Rodrigo needs additional 2⁷/₂₄ pounds of vegetables.

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Answer: [tex]\frac{3}{5}[/tex]of the class like blue

Step-by-step explanation:

There are : 40 - 12 - 4 = 24 ( students like blue )

[tex]\frac{24}{40}[/tex]= [tex]\frac{3}{5}[/tex]

The value of x will be= 90 degress.

acc to our question-

hence,The value of x will be= 90 degress.

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The best interpretation of the function v(2) = 8 is that the volume of a cube with side length of 2 units is 8 cubic units

Function notations are the representation of a function using expressions such as g(x), f(x), etc

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

v(2) = 8

From the question, we have the following representation

v(s)

This means that the volume of a cube of side length s is v(s)

When the above function is compared to v(2) = 8, we have the following comparison

s = 2 and v(s) = 8

This means that a cube of side length 2 has a volume of 8

The above represents the best interpretation of v(2) = 8

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Answer:

-----------------------------------

Answer:

Perimeter = -3h + 24

Step-by-step explanation:

Forming the expression,

→ 7 + (14 - 6h) + (3h + 3)

Let's simplify the expression,

→ 7 + (14 - 6h) + (3h + 3)

→ 7 + 14 - 6h + 3h + 3

→ (-6h + 3h) + (7 + 14 + 3)

→ -3h + 24

Hence, answer is -3h + 24.

Answer:

y = 0.4x

Step-by-step explanation:

given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

to find k use the condition y = 4 when x = 10 , then

4 = 10k ( divide both sides by 10 )

[tex]\frac{4}{10}[/tex] = k , that is

k = 0.4

y = 0.4x ← equation of variation

Answer:

L = 6 feet ; W = 4 feet

Step-by-step explanation:

l = 2 + w

perimeter/2 = 8

l + w > 8

2 + w + w > 8

2 + 2w > 8

2w > 8-2

2w > 6

2/2 w > 6/2

w > 3

smallest integer > 3 = 4

W= 4

L = 4 + 2 = 6

Answer:

  D.  2x -y = 2

Step-by-step explanation:

You want to know the standard-form equation of the line through points (-1, 4) and (2, 2) as shown on the graph.

The graph shows the x-intercept of the line is a=1, and the y-intercept of the line is b=-2. This means the intercept form of the equation is ...

  x/a +y/b = 1

  x/1 +y/(-2) = 1

Multiplying this equation by 2 gives ...

  2x -y = 2 . . . . the standard form equation for the line

__

Additional comment

The standard form equation can also be developed from the coordinates of points on the line:

  (y2 -y1)x -(x2 -x1)y = (y2 -y1)x1 -(x2 -x1)y1

  (2 -(-4))x -(2 -(-1))y = (2 -(-4))(-1) -(2 -(-1))(-4)

  6x -3y = -6 +12

Dividing by 3 gives the standard form equation ...

  2x -y = 2

Answer:

D) 16

Step-by-step explanation:

A=4

[tex]a^3[/tex]/a=?

[tex](4^3)[/tex]/(4)=?

64/4=16

-1.5 is the difference in the sequence

An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms are the same.

The difference is usually called the common difference. For example, the sequence 3, 6, 9, 12 have a common difference of 3 i.e. 6-3 = 3 or 9-6 = 3

Given: the sequence 4.5,3,1.5,0

The difference = 3 - 4.5 = -1.5 or 1.5-3 = -1.5

Note: You can pick any two consecutive terms to get the difference

Therefore, the difference in the sequence is -1.5

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The x intercept of y = -2x - 21 is  [tex]\frac{-21}{2}[/tex]

The y intercept of y = -2x - 21 is -21

What is x - intercept and y - intercept of a line?

The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.

The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.

The given equation of line is

y = -2x - 21

For x intercept, we have to put y = 0

[tex]-2x - 21 = 0\\2x = -21\\x = \frac{-21}{2}[/tex]

So the x intercept is [tex]\frac{-21}{2}[/tex]

For y intercept, we put x = 0

[tex]y = -2\times 0 -21\\y = -21[/tex]

The y intercept is -21

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Answer: 81.25

Step-by-step explanation:

Answer:

Armando lost 65 coins each level.

Step-by-step explanation:

Given information,

→ Armando lost 975 coins playing his favorite video game.

→ He lost the same number of coins in each of the 15 levels he played.

Forming the equation,

→ 15x = 975

Now required value of x will be,

→ 15x = 975

→ x = 975/15

→ [ x = 65 ]

Hence, he lost 65 coins each level.

The difference in lengths is 9 cm and the length of the carrot is 9 cm longer than the pea pod.

Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

We have to determine the difference in lengths

The length of the carrot = 14 cm

The length of the pea pod = 5 cm

The difference in lengths = maximum length - minimum length

The difference in lengths = 14 cm - 5 cm

Apply the subtraction operation, and we get

The difference in lengths = 9 cm

We conclude that the length of the carrot is 9 cm longer than the pea pod.

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Answer:

y = - 17

Step-by-step explanation:

6y + x = - 59 → (1)

x = - 2y + 9 → (2)

substitute x = - 2y + 9 into (1)

6y - 2y + 9 = - 59

4y + 9 = - 59 ( subtract 9 from both sides )

4y = - 68 ( divide both sides by 4 )

y = - 17

Answer:

Step-by-step explanation:

a

60 minutes will be taken by the older computer to send out the email on its own.

Two or more expressions with an Equal sign is called as Equation.

one computer takes x minutes and the other takes 3x minutes

in 1 minute, they send (1/x) and (1/3x) of the total message

together, (15/x)+(15/3x)=1, the full message

multiply by 3x to clear fractions

45+15=3x

60=3x

Divide both sides by 3

20=x

So for older computer  60 minutes  it take to send out the email on its own.

Hence, 60 minutes will be taken by the older computer to send out the email on its own.

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The ratio of the areas of these two photos is equal to 9:16.

In Mathematics, a ratio simply refers to a mathematical expression that is typically used for denoting the proportion of two (2) or more quantities with respect to one another and the total quantities.

This ultimately implies that, a ratio is generally expressed as a quotient of two numerical quantities or variables.

Generally speaking, the corresponding ratio of the areas of two geometric figures (shapes) is equal to the square of the ratio of their corresponding side length:

Area of photos = (a:b)²

Substituting the given parameters into the formula, we have;

Area of photos = (3:4)²

Area of photos = 9:16

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