Write the equation for a parabola that opens down, translated to the right 3, and translated down 2

Answer:

F

Step-by-step explanation:

is the answer because when u solve u get that answer u get your ratio and then multiply and divide that's how u get your answer

The ratio of boys to  girls on the bus is 1/2

Given that the ratio of boys to girls on a bus is 4 to 5, this can be written as  4:5

If 1 girl and  2 boys get off the bus, the number of boys to girls will be (4-2):(5-1)

Hence the ratio of boys to  girls on the bus is 1/2

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Answer:

8

Step-by-step explanation:

5 + 3 = 8

Answer:

D. -3 + 2i and E. 3+2i are the zeroes for the equation.

Step-by-step explanation:

Answer: 1.5 times 20 equals to 300

With the added parentheses, the expression simplified to 212.5.

PEMDAS is an acronym used to mention the order of operations to be followed while solving expressions having multiple operations. PEMDAS stands for P- Parentheses, E- Exponents, M- Multiplication, D- Division, A- Addition, and S- Subtraction.

To simplify the expression 30·5·7-3+2 and ensure that the order of operations is clear, we can place parentheses around the first two terms:

That is, (30.5·7)-3+2

= 213.5-3+2

Then, we can simplify by performing the addition and subtraction:

212.5

Therefore, with the added parentheses, the expression simplified to 212.5.

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Answer:

$90

Step-by-step explanation:

The shoes now cost 130% of the original cost

The original cost is 100%

Take the new amount and divide it by 130:

117/130 = .90

Then multiply that number by 100 to get the original percent

.90 x 100 = $90

To check, multiply $90 by 130% or 1.30 to make sure that a 30% increase makes the product $117

$90 x 1.30 = $117

The 36cm of specimen will contain an amount of 4.32 grams of blood.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that 10 cm of a normal specimen of human blood contains 1.2 g of hemoglobin. The amount of hemoglobin in 36 cm will be calculated as below:-

10 cm = 1.2g

1 cm = 1.2 / 10 = 0.12 g

36 cm = 36 x 0.12

36 cm = 4.32 grams

Therefore, the 36cm of specimen will contain an amount of 4.32 grams of blood.

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Answer:

x = 15

Step-by-step explanation:

3x+1+4x-3 = 103

7x = 105

x = 15

Answer:

7

Step-by-step explanation:

→ Find the scale factor

30 ÷ 25 = 1.2

→ Multiply answer by 20

20 × 1.2 = 24

→ Equate equation to 24

4x - 4 = 24

→ Add 4 to both sides

4x = 28

→ Divide both sides by 4

x = 7

Answer:

4.62 × \(10^{-2}\)

Step-by-step explanation:

Not anything really, just changing it into scientific notation.

Step-by-step explanation:

\(4.62 \times 10 { - }^{2} \)

Answer:

By splitting two entries, a logical number can be generated.

Step-by-step explanation:

By splitting two entries, a logical number can be generated.

Answer above.

Example: 0, 1, 1/2, 22/7, 12345/67

Hope this helps.

Answer:

Rational numbers are numbers that can turn into fractions.

\(\text {A number is Rational if it can be written as }\frac{p}{q}.\\\text {'p' and 'q' must be integers.}\\\\q\neq 0\)

All whole numbers and integers are rational.

For decimals, they have to be repeating or non-terminating.  

Numbers that cannot be turned into fractions under the 'p/q' guidelines are irrational numbers.

Answer:

i think 1/4

Step-by-step explanation:

Answer:

\(\frac{1}{4}\)

Step-by-step explanation:

We name the coins coin 1 and coin 2 for the sake of simplicity.

There are four possible situations:

coin 1 head, coin 2 head

coin 1 head, coin 2 tails

coin 1 tails, coin 2 head

coin 1 tails, coin 2 tails

Only case 1 results in both 'heads'. So the probability is 1/4.

\( \frac{2 }{5} \times 100 = \\ \)

\(40\)

Thus 40 percent of the starring players are taller than 6 feet.

Answer:

13000

Step-by-step explanation:

25000 * .06 = 1500 this is the decreasing profit each year

1500 * 8 = 12000 is the profits loss in 8 years

25000 - 12000 = 13000 this is how much the profit will be if it decreased  by 6% in 8 years

The solution is $ 15,239.22

The profit of the company in 8 years decreasing at a rate of 6% is given by A = $ 15,239.22

What is exponential growth factor?

The exponential growth or decay formula is given by

x ( t ) = x₀ × ( 1 + r )ⁿ

x ( t ) is the value at time t

x₀ is the initial value at time t = 0.

r is the growth rate when r>0 or decay rate when r<0, in percent

t is the time in discrete intervals and selected time units

Given data ,

Let the equation be represented as A

Now , the value of A is given by

The yearly profit of the company x₀ = $ 25,000

The percentage decrease in the value r = 6 %

The number of years n = 8 years

So , the exponential decay rate is given by the equation ,

x ( t ) = x₀ × ( 1 - r )ⁿ

Substituting the values in the equation , we get

x ( 8 ) = 25000 ( 1 - 6/100 )⁸

On simplifying the equation , we get

x ( 8 ) = 25000 ( 1 - 0.06 )⁸

x ( 8 ) = 25000 ( 0.94 )⁸

x ( 8 ) = 25000 x 0.6095689

So ,

The value of x ( 8 ) = $ 15,239.22

Hence , The profit of the company in 8 years decreasing at a rate of 6% is given by A = $ 15,239.22

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The Length of the rod is 3/5 meters.

The civil engineer wants to find the length of a rod that stretches for 1 meter and can be given by the function x=2y^(3/2).

To find the length of the rod, we need to integrate the function x=2y^(3/2) with respect to y. Integrating both sides of the equation,

we have:'int dx = int 2y^(3/2) evaluating the left-hand side gives x = 2/5 y^(5/2) + C, where C is the constant of integration. To find the value of C,

we use the given information that the rod stretches for 1 meter. At y = 0, x = 0 since the rod has no length when it is not stretched. At y = 1, x = 1 since the rod stretches for 1 meter.

Therefore, we have:1 = 2/5 (1)^(5/2) + C1 = 2/5 + CC = 3/5 Substituting C = 3/5 back into the equation for x,

we have:x = 2/5 y^(5/2) + 3/5

The length of the rod is given by the value of x when y = 1. Substituting y = 1,

we have:x = 2/5 (1)^(5/2) + 3/5 = 3/5

The length of the rod is 3/5 meters.

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Answer:1.325

Step-by-step explanation:

The y-intercept of the function is  -9,25

The function is given as:

\(y = -5(.8)^{x - 1} - 3\)

See attachment for the graph of the function

From the graph, we have the following highlights:

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the answer is instruments that detect earthquakes

The approximate value of the expression log(3 × 47) is 4.235   .

In the question ,

it is given that ,

the approximate value of log(3) ≈ 1.1

and the approximate value of log(47) ≈ 3.85

we have to find the approximate value of log(3×47),

So , By the property of Logarithm , which states that

log(a × b) = log(a) × log(b)

we get ,

log(3 × 47) = log(3) × log(47)

substituting , the values of log(3) and log(47) ,

we get ,

log(3 × 47) = 1.1 × 3.85

≈ 4.235

Therefore , The approximate value of log(3 × 47) is 4.235   .

The given question is incomplete , the complete question is

Use the values ln(3)≈1.1 and ln(47)≈3.85 to find the approximate value of log(3×47).

(a) log(3×47)≈3.5

(b) log(3×47)≈4.95

(c) log(3×47)≈4.235

(d) log(3×47)≈0.286

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a.) The area of the floor = 246.5ft²

b.) The amount that it will cost to put down the new floor would be = $2,711.5

C.) The new dimensions of the area rug would be= Length= 21ft, width = 18.5 ft.

d.) The area of the area rug would be = 388.5ft²

For question a.)

The floor has a rectangular shape. The area of a rectangle = length×width

area of the floor= 17×14.5

= 246.5ft²

For question b.)

For a square foot(1ft²) = $11

246.5ft² = 246.5×11 = $2,711.5

For question c.)

Since the rug will be extended by 2ft at each side, the new dimensions would be:

length = 2+2+17 = 21ft

width = 2+2+14.5 = 18.5ft

For question d.)

The area of the floor with the new dimensions = 21×18.5 = 388.5ft²

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The equation of the line is y = x + 6

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

The graph

On the graph, we have the following highlights

The graph intersect the y-axis at y = 6

This means that the intercept c is 6

Also, as x changes by 1, the y values changes by 1

This mean sthat the slope is 1

So, we have

y = mx + c

This gives

y = x + 6

Hence, the equation is y = x + 6

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The linear equation on the graph can be written as:

y = (3/2)*x + 6

A general linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If the line passes through two points (x₁, y₁), then the slope will be:

a = (y₂ - y₁)/(x₂ - x₁)

In this case we can see the points (0, 6)  (so the y-intercept is b = 6)  and (4, 10)

Then the slope will be:

a = (10 - 6)/(4 - 0) = 6/4 = 3/2

Then the linaer equation is:

y = (3/2)*x + 6

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Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20

The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.

Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.

If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).

If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].

Pencils for sale

30p each

Pack of 10 pencils for £2

Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.

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Answer:

1.86

Step-by-step explanation:

Answer:

Step-by-step explanation:

We are given that line a and b and perpendicular to line x. By definition of perpendicular lines, lines a and b form right angles at the intersection of a and x and b and x. By definition, a right angle is equal to 90 degrees, and the sum of angle 2 and 3 is equal 180 degrees, so by the Converse of Same-Side Interior Angle Theorem, line a is parallel to line b.

Note: I don't have a drawing, but we can assume that angles 2 and 3 are same-side interior.

Line m and line n have corresponding angles that are congruent, which implies that line m is parallel to line n.

Theorem: In a plane, if two lines are perpendicular to the same line, then they are parallel to each other.

Proof:

Let's assume we have a plane with three lines: line l, line m, and line n. We are given that both line m and line n are perpendicular to line l. We want to prove that line m is parallel to line n.

Since line m is perpendicular to line l, the angle formed between line m and line l is 90 degrees. Let's call this angle A.

Similarly, since line n is perpendicular to line l, the angle formed between line n and line l is also 90 degrees. Let's call this angle B.

By the definition of parallel lines, if corresponding angles formed by a transversal and two other lines are congruent, then the two lines are parallel.

In our case, angle A is congruent to angle B (both are 90 degrees). Therefore, line m and line n have corresponding angles that are congruent, which implies that line m is parallel to line n.

Hence, we have proven that in a plane, if two lines are perpendicular to the same line, then they are parallel to each other.

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The Stafford loan will have a higher balance of $36.53 at the time of repayment.

The correct option is C.

The formula:

PV = PMT/i[1 - {1/(1+i)ⁿ]

PV denotes the loan sum.

PMT stands for "monthly payment," I for "interest rate" (interest rate % divided by 12), and "n" for the number of months (term of the loan in months)

To compare the balances of the two loans at the time of repayment, we need to calculate the total amount owed for each loan.

For the Unsubsidized Stafford Loan:

The total loan amount is $6,720, and the annual interest rate is 3.99%, compounded monthly.

Therefore, the monthly interest rate is 3.99% / 12 = 0.3325%. The loan has a grace period of 6 months, so interest will not start accruing until 6 months after graduation.

The loan will be repaid over a period of 10 years, or 120 months.

Using the formula for the future value of an annuity, the total amount owed for the Unsubsidized Stafford Loan is:

FV = PMT x [(1 + r)ⁿ - 1] / r

where PMT is the monthly payment, r is the monthly interest rate, and n is the number of months.

We can solve PMT using a loan repayment calculator, such as the one found on bankrate.com, and we get a monthly payment of $73.80. Plugging this into the formula, we get:

FV = $73.80 x [(1 + 0.003325)¹¹⁴ - 1] / 0.003325

FV = $9,222.41

Therefore, the total amount owed for the Unsubsidized Stafford Loan at the time of repayment is $9,222.41.

For the PLUS Loan:

The loan amount is $7,241.17, and the annual interest rate is 4.99%, compounded monthly. Therefore, the monthly interest rate is 4.99% / 12 = 0.4158%. Interest starts accruing immediately, and the loan will be repaid over a period of 10 years, or 120 months.

Using the same formula, the total amount owed for the PLUS Loan is:

FV = PMT x [(1 + r)ⁿ- 1] / r

Again, using a loan repayment calculator, we get a monthly payment of $78.93. Plugging this into the formula, we get:

FV = $78.93 x [(1 + 0.004158)^120 - 1] / 0.004158

FV = $9,258.94

Therefore, the total amount owed for the PLUS Loan at the time of repayment is $9,258.94.

Comparing the two loan amounts, we see that the Unsubsidized Stafford Loan will have a higher balance of $36.53 ($9,222.41 - $9,258.94) at the time of repayment.

Therefore, the answer is:

The Stafford loan will have a higher balance of $36.53 at the time of repayment.

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The algorithm to calculate the sum of 9 and 4. is:

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

algorithm to calculate the sum of 9 and 4

This implies that we write the steps to calculate the sum of 9 and 4

So, the steps are

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Answer:

1.x=3

2. x= -7    

3. x=7

Step-by-step explanation:

Answer:

0.49

Step-by-step explanation:

for it to be rational there should not be no decimal nor pi .

The exact value of the expression is given as follows:

sin(585º) = \(-\frac{\sqrt{2}}{2}\)

The expression in the context of the problem is given as follows:

sin(585º).

The remainder of the division of 585º by 360º is given as follows:

225º.

Hence the expression is given as follows:

sin(585º) = sin(225º).

The angle of 225º is on the third quadrant, where the sine is negative, and the equivalent angle is of 225 - 180 = 45º, hence:

sin(585º) = sin(225º) = -sin(45º) = \(-\frac{\sqrt{2}}{2}\)

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The absolute change is defined as:

where V1 and V2 are the initial and final values, respectively.

Plugging the values given we have that:

Therefore the absolute change is -102. (The minues sign indicate a decrease)

The percentage change is given by:

plugging the values given we have:

Therefore the percentage change is -85% (Once again the minus sign indicate a decrease)