A jar contains 25 coins worth $3.05. If the jar contains only nickels and quarters, how
many coins are there of each type?

Answer:

Rewrite the numbers. this isn't an equation

Multiplication of two real functions,  (f . g) (x) is  4/x - 8/x² and the correct domain for (f . g) (x) is (-∞,0) U (0,∞)

Let f(x) and g(x) are two real functions.

​f(x)= 4x -8

g(x)= 1/x²

then

(f . g)(x) = (4x -8 ) x (1/x²)

(f . g)(x) = 4/x - 8/x²

The set of all the initial elements in all the ordered pairs in a relation R is known as the domain of R.

we know that f(x) is undefined at x=0

so, domain will be

(-∞,0) U (0,∞)

Multiplication of two real functions,  (f . g) (x) is  4/x - 8/x² and the correct domain for (f . g) (x) is (-∞,0) U (0,∞)

To know more about function and domain

https://brainly.com/question/15666689

#SPJ1

Answer:

w=9

Step-by-step explanation:

7w -17=46

Add 17 to each side

7w -17+17=46 +17

7w = 63

Divide each side by 7

7w/7 = 63/7

w=9

Answer:

W=9

Step-by-step explanation:

46+17=63

63=7w

63/7=9

Step-by-step explanation:

\( \frac{1 + \cot(x) }{ \cos(x) } - \csc(x) = \sec(x) \)

\( \frac{1}{ \cos(x) } + \frac{ \cot(x) }{ \cos(x) } - \csc(x) = \sec(x) \)

\( \sec(x) + \frac{1}{ \sin(x) } - \csc(x) = \sec(x) \)

\( \sec(x) + \csc(x) - \csc(x) = \sec(x) \)

\( \sec(x) = \sec(x) \)

Answer:

A, C, and E

Step-by-step explanation:

-2, 0, and 5

Answer:

-2, 0, 5

Step-by-step explanation:

Answer:

3). (3,-3)

Step-by-step explanation:

reflection in the x-axis : (-2,-4) → (-2,+4)

five units to right : (-2+5,+4) = (3,4)

seven units to downward : (3,4-7) = (3,-3)

Answer:

3)   (3, -3)

Step-by-step explanation:

If a point is reflected in the x-axis, the x-coordinate remains the same and the sign of the y-coordinate is changed.

Therefore, (-2, -4) reflected in the x-axis ⇒ (-2, 4)

If the point is translated 5 units right and 7 units down, add 5 units to the x-coordinate and subtract 7 units from the y-coordinate:

Therefore, (-2, 4) ⇒ (-2 + 5, 4 - 7) = (3, -3)

The cost of the wallpaper per square foot is $4.

To find the cost per square foot of the wallpaper, we first need to calculate the total surface area of the box. A rectangular prism has six faces, and each face is a rectangle.

The front and back faces have dimensions 6 feet by 3 feet, so their combined area is 6 ft * 3 ft * 2 = 36 square feet.

The top and bottom faces have dimensions 5 feet by 3 feet, so their combined area is 5 ft * 3 ft * 2 = 30 square feet.

The left and right faces have dimensions 6 feet by 5 feet, so their combined area is 6 ft * 5 ft * 2 = 60 square feet.

The total surface area of the box is 36 + 30 + 60 = 126 square feet.

Since the cost of the wallpaper is $504, we divide the total cost by the total surface area to find the cost per square foot: $504 / 126 sq ft = $4 per square foot.

For more questions on square foot

https://brainly.com/question/29020717

#SPJ8

Answer: y=0.2

Step-by-step explanation:

y∝(1/x)

this implies that

y=k/x    eq(*)

when y =0.25 when x =4

0.25=k/4

k=1

for y when x=5

y=k/x

y=1/5

y=0.2

Answer:

p = x(y)(z)

Step-by-step explanation:

product is multiplication.

multiplication has no specific order.

The required sign that makes the statement true is "||".

The given options are 7, 22, 64, and V.

To express a percentage in mathematical notation, we divide the number by 100. In this case, 67.18% can be written as 0.6718.

Using the "||" symbol, we can write the equation as: 0.6718 || 7 = 22.

This equation represents the statement "0.6718 is to 7 as 22 is to 100." The vertical bar "||" signifies the ratio or proportion between the numbers. The double vertical bars "||" typically represent the symbol for "is equivalent to" or "is parallel to" in various contexts.

Therefore, the sign "||" makes the statement true.

Learn more about ratios and proportions here:

https://brainly.com/question/26974513

#SPJ1

Answer:

About 384 miles (correct me if I'm wrong but I think that's the answer)

Answer:$31,500

Step-by-step explanation:

To calculate the total amount Mario will pay, including the loan amount and interest, for the loan from First Bank of Trust, we need to calculate the interest and add it to the loan amount.

The formula to calculate simple interest is:

Interest = (Loan Amount) x (Interest Rate) x (Loan Length)

Let's plug in the values given:

Loan Amount = $25,000

Interest Rate = 6.5% (or 0.065 as a decimal)

Loan Length = 4 years

Interest = $25,000 x 0.065 x 4 = $6,500

Now, let's calculate the total amount Mario will pay:

Total Amount = Loan Amount + Interest = $25,000 + $6,500 = $31,500

Therefore, the total amount Mario will pay, including the loan amount and interest, for the First Bank of Trust loan is $31,500.

Answer:

Let's assume that the total number of students in the school is "x". We can create a proportion to estimate how many students would choose the aquarium based on the given information:

Number of students who chose aquarium / Total number of students in the school = Percentage of students who chose aquarium / 100

We can plug in the values we know:

80 / x = p / 100

where "p" is the percentage of students who would choose the aquarium if the entire school were surveyed.

We can solve for "x" by cross-multiplying and simplifying:

8000 = px

x = 8000 / p

Now, we need to estimate the value of "p". We can do this by finding the average percentage of students who chose the aquarium, science center, planetarium, and farm:

(80 + 60 + 30 + 40) / x = (210 / x) = Average percentage of students who chose an attraction

This tells us that, on average, 210 out of every "x" students would choose one of the attractions. We can estimate that a similar percentage of the entire school would choose the aquarium:

p / 100 = 80 / 210

p = 38.1

So, we can estimate that approximately 38.1% of the students in the whole school would choose the aquarium. To find the estimated number of students who would choose the aquarium, we can plug in this value for "p" in our original proportion:

80 / x = 38.1 / 100

Cross-multiplying and solving for "x", we get:

x = 209.71

Rounding to the nearest whole number, we can estimate that approximately 210 students in the whole school would choose the aquarium.

Step-by-step explanation:

Answer:

The teacher surveyed a total of:

80 + 60 + 30 + 40 = 210 students.

If we assume that the sample of 210 students surveyed is representative of the entire population of 1000 students at Lake Middle School, we can use the relative frequency of students choosing the aquarium in the sample to estimate the number of students in the whole school who would choose the aquarium.

The relative frequency of students choosing the aquarium in the sample is:

80/210 = 0.38

This means that approximately 38% of the students in the sample chose the aquarium.

To estimate the number of students in the whole school who would choose the aquarium, we can multiply the relative frequency by the total number of students at the school:

0.38 x 1000 = 380

Therefore, the teacher can estimate that approximately 380 students out of 1000 at Lake Middle School would choose the aquarium for a field trip.

Answer:

10 feet

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Area of parallelogram is

A = base of parallelogram x height of parallelogram

= 14 x 12 = 168 sq feet

Break parallelogram down into figures

There would be 2 triangles and 1 square

Area of 1 triangle = 0.5 (3 x 12) = 18

Area for 2 triangles = 2 x 18 = 36

Area of square = base x height

= 11 x 12 = 132

132 + 36 = 168

Area of parallelogram is 168 sq feet

Answer:

-3

Step-by-step explanation:

Answer:

I don't no ok ok ok ok ok ok ok ok ok

Answer:

Mega Gym charges a $384 registration fee and $2 each time the gym is used. Super Gym charges a fee of $6 every time the gym is used. What number of times, x, will Super Gym need to be used to exceed the cost of Mega Gym?

Step-by-step explanation:

Given: the inequality is \(384+2x<6x\)

To find: the correct option

Solution:

Let x denotes number of times gym is used.

As Mega Gym charges a $384 registration fee and $2 each time the gym is used,

Total amount charged by Mega Gym = \(\$(384+2x)\)

As Super Gym charges a fee of $6 every time the gym is used,

Total amount charged by Super Gym = \(\$\,6x\)

In order to find number of times, x Super Gym is used such that cost of Super Gym exceeds the cost of Mega Gym,

Solve the inequality:

cost of Super Gym > cost of Mega Gym

\(6x>384+2x\\384+2x<6x\)

So, the correct option is '' Mega Gym charges a $384 registration fee and $2 each time the gym is used. Super Gym charges a fee of $6 every time the gym is used. What number of times, x, will Super Gym need to be used to exceed the cost of Mega Gym? ''

The limit of the difference quotients for f(x) = x^2 + 2x + 1 as x approaches -1 is indeterminate.

To find the limit of the difference quotients for the function f(x) = x^2 + 2x + 1 as x approaches -1, we need to evaluate the following expression:

lim(x→-1) [f(x) - f(-1)] / (x - (-1))

First, let's substitute the values into the expression:

lim(x→-1) \([(x^2 + 2x + 1) - (-1^2 + 2(-1) + 1)] / (x + 1)\)

Simplifying further:

lim(x→-1) \([(x^2 + 2x + 1) - (1 - 2 + 1)] / (x + 1)\)

lim(x→-1)\([x^2 + 2x + 1 - 0] / (x + 1)\)

lim(x→-1) \((x^2 + 2x + 1) / (x + 1)\)

Now, we can directly substitute x = -1 into the expression:

\((-1^2 + 2(-1) + 1) / (-1 + 1)\)

(1 - 2 + 1) / (0)

0 / 0

We have obtained an indeterminate form of 0/0. This indicates that we need to further simplify the expression or use other techniques, such as L'Hôpital's rule, to evaluate the limit. However, without additional information or simplification, we cannot determine the precise value of the limit at x = -1.

For more such information on: quotients

https://brainly.com/question/11418015

#SPJ8

You graph >7 with an open dot to the right.

The inequalities ≤ and ≥ would have a closed dot on the number line.

a > 3 is matched to the statement; "you must be older than 13 to play in the basketball league".

s < 3.5 is matched to the statement; "To use one stamp, your domestic letter must be under 3.5 ounces".

t ≥ 48 is matched to the statement; "You must be at least 48 inches tall to ride on the rollercoaster".

Inequality signs are mathematical symbols used to indicate that one quantity is greater than, less than, or equal to another quantity. These inequality signs includes:

These symbols are used in mathematical expressions and equations to compare values and express relationships between them.

Therefore, with a good understanding of inequality signs we conclude that:

On a graph, > 7 is with an open dot to the right.

Only the inequalities ≤ and ≥ would have a closed dot on the number line.

a > 3 is matched to the statement; "you must be older than 13 to play in the basketball league".

s < 3.5 is matched to the statement; "To use one stamp, your domestic letter must be under 3.5 ounces".

t ≥ 48 is matched to the statement; "You must be at least 48 inches tall to ride on the rollercoaster".

Know more about inequalities here:https://brainly.com/question/28494332

#SPJ1

Three ordered pairs that could represent the location of another vertex of the square are (7, 2), (-5, 2), (1, 8).

To find the possible locations of the other vertices of the square, we need to determine the distance from point K to any other vertex of the square. Since the perimeter of the square is 20 units, each side of the square has a length of 20/4 = 5 units.

One way to find the other vertices is to draw a circle with center at K and radius 5 units, and then look for points on the circle that have integer coordinates. Alternatively, we can use the distance formula to calculate the distance from K to another point (x, y), which must be 5 units, and then solve for y in terms of x.

Using the distance formula, we get:

\(\sqrt{(x-1)^{2} +(y-1)^{2} }\) = 5

Simplifying and squaring both sides, we get:

(x-1)^2 + (y-2)^2 = 25

Expanding the left side and simplifying, we get:

\(x^{2}\) - 2x + \(y^{2}\) - 4y + 20 = 0

Completing the square for x and y, we get:

\((x-1)^{2}\)  + \((y-1)^{2}\)  = \(6^{2}\)

This is the equation of a circle with center at (1, 2) and radius 6 units. Any point on this circle that has integer coordinates could be a vertex of the square, since it will be exactly 5 units away from K.

Using this method, we can find several possible locations of the other vertices of the square. Three of them are:

(7, 2), (-5, 2), (1, 8)

To learn more about vertex here:

https://brainly.com/question/30940247

#SPJ1

The measure of angle a is 35°

The chord of a circle is the line segment joining any two points on the circumference of the circle.

The diameter is the longest chord of a circle which passes through the center of the circle.

For chords that meet inside of a circle, the measure of the angle formed is one-half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

Using the above concept (That is the given hint in the question), we can say:

∠a = (29 + 41)/2

∠a = 70/2

∠a = 35°

Therefore, the measure of angle a is 35°

Learn more about arcs on:

brainly.com/question/31105144

#SPJ1

Complete Question

Check attached image

Answer:

\(3x^5+6x^4+12x^3\)

Step-by-step explanation:

Given that,

\(f(x) = 3x^3+ 6x^2+ 12x\)

and

\(g(x)=x^2\)

We need to find the product of f(x) and g(x). SO,

\(f(x)\times g(x)=(3x^3+ 6x^2+ 12x)\times (x^2)\\\\=3x^3\times x^2+6x^2\times x^2+12x\times x^2\\\\=3x^5+6x^4+12x^3\)

Hence, the correct option is (d).

Answer:

\(\frac{2}{25}\)

Step-by-step explanation:

All percents can be written as a fraction with their denominator as 100.

So, first we can write the fraction as 8/100 and start making it smaller and simplifying it.

\(\frac{8}{100}\) can be divided by 4 since that is the GCF ( Greatest common factor)

Now, the numerator would be 2 and the denominator would be 25 as shown below ...

\(\frac{2}{25}\)

This is the simplest form of 8% as a fraction

Hope this Helps!!! :)

Let me know in the comments if the answer was perfect or if I should change anything!!!

The simplest form of the 8% as a fraction is 2 / 25.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %.

All percentages can be written as a fraction with their denominator as 100. First, write the fraction as 8/100 and start making it smaller and simplifying it.

Fraction = 8 /100

Fraction = ( 4 x 2) / ( 4 x 25)

Fraction  = 2 / 25

Thus, the 8% in the fraction is 2 / 25.

To know more about percentages follow

https://brainly.com/question/24304697

#SPJ2

The formula to find the midpoint of the line segment from A(x₁,y₁) to B(x₂,y₂) is:

In this case, we have:

Therefore, the midpoint of the line segment connecting A and B is (4,-1).

Answer:

45 degree , bc the ends are all 90 degree so divide 90 by two since the line crosses right in between

Answer:

45°

That looks like an Isosceles triangle so two sides are equal

The angle near O would be 90° cause that looks like an right angle

180-90=90

To find each angle divide by 2

90÷2=45

To find the subtracted value, we need to calculate the multiplicative inverse of (4/3 - 4/9) and then subtract it from the sum of 7/12 and 7/8.

First, let's find the multiplicative inverse of (4/3 - 4/9):

Multiplicative inverse = 1 / (4/3 - 4/9)

To simplify the expression, we need a common denominator:

Multiplicative inverse = 1 / ((12/9) - (4/9))

= 1 / (8/9)

= 9/8

Now, we need to subtract the multiplicative inverse from the sum of 7/12 and 7/8:

Subtracted value = (7/12 + 7/8) - (9/8)

To perform this calculation, we need a common denominator:

Subtracted value = (7/12 * 2/2 + 7/8 * 3/3) - (9/8)

= (14/24 + 21/24) - (9/8)

= 35/24 - 9/8

To simplify further, we need a common denominator:

Subtracted value = (35/24 * 1/1) - (9/8 * 3/3)

= 35/24 - 27/24

= 8/24

= 1/3

Therefore, subtracting 1/3 from the sum of 7/12 and 7/8 will give you the multiplicative inverse of (4/3 - 4/9).

Answer:

A - The exponent of 3 is 7/9.

Step-by-step explanation:

The expression 3^(7/9) can be read as "3 to the power of 7/9".
This means that the number 3 is being multiplied by itself 7/9 times.

For example
3^(2/3) can be written as cube root of 3, cube root of 3 is equal to 3^(1/3) .

When the exponent of an expression is a fraction, it can be written in radical form, with the denominator of the fraction as the index of the radical. However, it's not true in this case as the index is not 9 but 7.

So, the correct answer is A - The exponent of 3 is 7/9.

Answer:

96

Step-by-step explanation:

trust me I'm good at math

Answers to both subparts are given below:

So, (A) x = 6 is the solution of equation 8x+8 = 56:

Substitute x = 6 in equation 8x+8 = 56 as follows:

Yes, x = 6 is the solution of the equation 8x+8 = 56.

(B) The change on the right side if x = 9:

Substitute x = 9 in equation 8x+8 = 56 as follows:

Now,

So, we need to add 24 on the right side of the equation when x = 9.

The answers to both subparts are given below:

Know more about equations here:

https://brainly.com/question/25976025

#SPJ9