4.8g + 9 = 33
solve for g​

Given:

Original value = 120 lb

New value = 180 lb

Let's find the percentage change.

To find the percentage change apply the formula below:

Substitute values into the formula and evaluate.

We have:

Therefore, the percentage change is 50%

ANSWER:

50%

Answer:  first choice is correct

Step-by-step explanation:

\(\sqrt{10} = 3.16\\\\ \sqrt{13} = 3.6\)

22/9 = 2.44

Therefore Point A is 22/9, Point B is \(\sqrt{10}\),  Point C is \(\sqrt{13}\)

Answer:

x = 1

y = 5

Step-by-step explanation:

You can use either substitution or elimination for this problem. I will use substitution.

Step 1: Replace x in the 1st equation

-10(y-4) + 3y = 5

-10y + 40 + 3y = 5

-7y = -35

y = 5

Step 2: Plug y into an original equation to find x

x = 5 - 4

x = 1

And you have your final answers!

Answer:

x = 1

Step-by-step explanation:

y = 5

The value of x in the parallel lines is 18.

When parallel lines are cross by a transversal line, angle relationships are formed such as alternate interior angles, alternate exterior angles, corresponding angles, same interior angles, vertically opposite angles, linear angles etc.

Using the vertically opposite angle theorem and same side interior angles theorem,

3x + 7x = 180

10x = 180

divide both sides by 10

x = 180 / 10

x = 18

Therefore,

x = 18

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Answer:

(3, \(\frac{1}{2}\) )

Step-by-step explanation:

to find the point of intersection, solve the equations simultaneously.

3x + 2y = 10 → (1)

2x - 6y = 3 → (2)

multiplying (1) by 3 and adding to (2) will eliminate y

9x + 6y = 30 → (3)

add (2) and (3) term by term to eliminate y

11x + 0 = 33

11x = 33 ( divide both sides by 11 )

x = 3

substitute x = 3 into either of the 2 equations and solve for y

substituting into (1)

3(3) + 2y = 10

9 + 2y = 10 ( subtract 9 from both sides )

2y = 1 ( divide both sides by 2 )

y = \(\frac{1}{2}\)

solution is (3, \(\frac{1}{2}\) )

Answer:

PLACEHOLDER SRRY BRB

Step-by-step explanation:

Answer:

option a. x=5 or -5 is the answer

Answer:

I believe... x=12

Step-by-step explanation:

5x = 4x + 12

5x - 4x = x

therefore, x = 12

hope this helps :)

Answer:

How should we proceed with this question

Answer:

l think so because -3 if you add a 0 (-30) its smaller than -33

The amount of money earned by Elisa in 22 years is obtained by summing the geometric series as $1366857.15.

In a geometric sequence, the ratio of two consecutive terms are always equal.

The general expression for the nth term is given as aₙ = a₁ × rⁿ⁻¹ .

The sum of n terms for this sequence is given as Sₙ = (rⁿ - 1)/(r - 1)

The earning for first year is $31500.

For, the next year it is 31500(1 + 6/100) = 1.06 × 31500

For another year, 1.06² × 31500

It implies that it is a geometric sequence with a₁ = 31500 and r = 1.06.

Now, the sum of first 22 terms is given by the following expression,

S₂₂ = a₁(r²²- 1)/(r - 1)

Plug a₁ = 31500 and r = 1.06 as,

⇒ 31500(1.06²²- 1)/(1.06 - 1)

⇒ 1366857.15

Hence, the money earned by Eliza in 22 years is obtained as $1366857.15.

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The successor of -34 is -33 using the formula "n+1".

A phrase that follows or is right after a specific number, term, or value is known as a successor.

The successor of n is "n+1" if n is a number (and n belongs to any whole number).

The terms just after, immediately after, and next number/next value are also used to describe a successor.

As is common knowledge, integers are collections of numbers that range from negative infinity to positive infinity.

The integers are.........., -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5,.................. The preceding and following numbers will also be negative integers if the provided number is a negative integer.

So, the successor of -34:

= -34 + n

= -34 + 1

= - 33

Therefore, the successor of -34 is -33 using the formula "n+1".

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Answer:

C

Step-by-step explanation:

First, note that the parent quadratic function has the equation \(f(x)=x^2\).

All quadratic functions are parabolas. Eliminate A.

The vertex of \(f(x)=x^2\) is on the origin point (0,0), not in Quadrant III. Eliminate B.

\(f(x)=x^2\) is definitely a function. Eliminate D.

The correct answer is C. The function covers Quadrant I and II.

Answer:

a

  \(P(E \ n\  Z) =  0.0196\)

b

\(P(E \ n\  Z \ n \ Y) =  0.0027\)

Step-by-step explanation:

From the question we are told that

The probability of that a person is being called for jury duty in any given year is \(P(J) = 0.14\)

Let P(E) be the probability a person being selected in the first year, Let P(Z) be the probability a person being selected in the second year

and Let P(Y) be the probability a person being selected in the third year

Generally the probability that a particular eligible person in this city is selected in both of the next 2 years is mathematically represented as

\(P(E \ n\ Z) = P(E) * P(Z) = P(J)^2\)

=>      \(P(E \ n\  Z) =  0.14^2\)

=>      \(P(E \ n\  Z) =  0.0196\)

Generally the  probability that a particular eligible person in this city is selected in both of the next 3 years is mathematically represented as

     \(P(E \ n\  Z \ n \ Y) =  P(E) * P(Z)  * P(Y) =  P(J)^3\)

=> \(P(E \ n\  Z \ n \ Y) =  0.14^3\)

=>  \(P(E \ n\  Z \ n \ Y) =  0.0027\)

This multiplication of each probabilities is valid because each probability is independent of one another

Answer:

8.702 scientific notation​ is 8.702 × 10^0

Step-by-step explanation:

Answer:

P(A) = 0.57 (rounded to two decimal places).

Step-by-step explanation:

The probability of selecting a red marble from the hat can be found by dividing the number of red marbles by the total number of marbles:

P(red) = number of red marbles / total number of marbles

P(red) = 20/35

We can simplify this fraction by dividing both the numerator and denominator by 5:

P(red) = 4/7

So the probability of selecting a red marble from the hat is 4/7, or approximately 0.57 when rounded to two decimal places.

Therefore, P(A) = 0.57 (rounded to two decimal places).

Answer:

Step-by-step explanation:

1st 10 days - 8 GB

2nd 10 days - 8 GB

3rd 10 days - 8 GB

________________

30 days    -  24 GB

The area of a rectangle with a width of 5.1 cm and a height of 11.2 cm is 57.12 cm².

To find the area of a rectangle, we multiply its length by its width. In this case, the width is given as 5.1 cm and the height (or length) is given as 11.2 cm.

Area = length × width

Area = 11.2 cm × 5.1 cm

Calculating the product, we get:

Area = 57.12 cm²

Therefore, the area of the rectangle is 57.12 cm².

The correct answer is: 57.12 cm².

It is important to note that when calculating the area of a rectangle, we should always include the appropriate unit of measurement (in this case, cm²) to indicate that we are dealing with a two-dimensional measurement. The area represents the amount of space covered by the rectangle's surface.

So, the area of a rectangle with a width of 5.1 cm and a height of 11.2 cm is 57.12 cm².

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Answer:

a) The initial amount a is —> 16,000

b) The percent rate of change is 6%, so the growth factor b is 1+ —> 0.06 = 1.06

c) To find the number of students enrolled after one year, you calculate 16,000 —> • 1.06

d) answer is y= 16,000 • 1.06*x

e) answer is 57,657

Step-by-step explanation:

After 22 years, there are 57,600 students will be enrolled.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The number of students enrolled at a college is 16,000 and grows 6​% each year.

We know that;

A = P (1 + r)ⁿ

Here, P = 16,000

r = 6%

n = 22 years

Hence, After 22 years, number of students will be enrolled is,

A = 16,000 (1 + 0.06)²²

A = 16,000 (1.06)²²

A = 16,000 x 3.60

A = 57,600

Thus, After 22 years, there are 57,600 students will be enrolled.

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Answer:

2048/3 pi ft^3

Step-by-step explanation:

Volume of a sphere

V = 4/3 x pi x r^3

Therefore the volume of the sphere is

V = 4/3 x pi x 8^3 = 2144.660585 or 2048/3 pi

Answer:

Volume of sphere is 682.66π cu.ft

Answer:

angle 1 = 108°

Step-by-step explanation:

because angle 1 and angle 2 are vertical angles and vertical angles are equal.

The benefit of obtaining a personal loan is getting large amounts of money to use immediately.

Option D is the correct answer.

A personal loan is a type of loan that individuals can take out from a bank, credit union, or online lender to cover personal expenses such as home improvements, medical bills, or other unexpected expenses.

We have,

The benefit of obtaining a personal loan can vary depending on the specific terms and conditions of the loan, but typically it allows individuals to borrow a larger amount of money upfront with a fixed interest rate and set repayment schedule, which can be beneficial for large expenses such as home renovations, debt consolidation, or major purchases.

However, the interest rates and repayment terms can vary depending on the borrower's credit score, income, and other factors, so it's important to compare options and choose a loan that meets one's specific needs and budget.

Thus,

The benefit of obtaining a personal loan is getting large amounts of money to use immediately.

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Answer:

Slope= -7/9

Step-by-step explanation:

Answer:

-7/9

Step-by-step explanation:

(-2, 3) ; (7 , -4)

Slope = \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\)

         \(= \frac{-4-3}{7-[-2]}\\\\= \frac{-4-3}{7+2}\\\\= \frac{-7}{9}\)

Answer:

Volume = 13,364 cm³

Step-by-step explanation:

Volume of the figure = volume of trapezoid prism

Volume of trapezoid prism = area of trapezoid base × length of the prism

= ½(a +b)h × l

Where,

a = 15 cm

b = 37 cm

h = 25.7 cm

l = 20 cm

Substitute

Volume = ½(15 + 37)25.7 × 20

Volume = 13,364 cm³

Answer:

the answer will be choice D

as we can see that the triangle have angles measuring 30 60 and 90 so we will use the 30-60-90 rule

you can look up the explantion about the rule online

The value of k is given as follows:

k = 10.

The quadratic function in the context of this problem is defined as follows:

y = 3x² - 8x + 2k + 1.

The coefficients are given as follows:

a = 3, b = -8 and c = 2k + 1.

The product of the roots of  quadratic function is given as follows:

c/a.

For this problem, the product is of 7, hence the value of k is obtained as follows:

(2k + 1)/3 = 7

2k + 1 = 21

2k = 20

k = 10.

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Answer:

Step-by-step explanation:

.................8908989

The distance between points C and D is given as follows:

5 units.

Suppose that we have two points of the coordinate plane, and the ordered pairs have coordinates \((x_1,y_1)\) and \((x_2,y_2)\).

The shortest distance between them is given by the equation presented as follows, derived from the Pythagorean Theorem:

\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

The coordinates for this problem are given as follows:

(-4, -6) and (1, -6).

Hence the distance is given as follows:

\(D = \sqrt{(-4 - 1)^2 + (-6 - (-6))^2}\)

D = 5 units.

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Answer:

33 x 15.80

521.40 x 50= 26,070

B 26,070

Hope this helps! （づ￣3￣）づ╭❤～

The ratio of snakes to frogs is 1 : 2.

The ratio of frogs to animals is 2 : 3.

If 3 more snakes are added, the number of frogs that should be added to keep the ratio constant is 6.

Here are the completed tables:

TVs                   2        4       6

Computers       7       14        21

Trumpets   10       5          20           25

Drums         8         4         16             20

Books      0       40       100

Boxes      0        2        5

Ratio expresses the relationship between two or more numbers. It is the number of times that one value is contained within other value(s).

The ratio of snakes to frogs can be determined by counting the number of snakes and frogs.

Number of snakes = 4

Number of frogs = 8

The ratio of snakes to frogs - 4 : 8 = 1 : 2

The ratio of frogs to animals = number of frogs : number of animals = 8 : 12 = 2 : 3.

Number of snakes if 3 more are added = 4 + 3 = 7

Ratio of snakes to frogs - 1 : 2  

Number of frogs that would keep the ratio constant = 7 x 2 = 14

Number of frogs that should be added = 14 - 8 = 6

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