In 1 and 2, use the table below that shows information about squares.

The method is: Find the increase and find the ratio of the increase and the old price.

The percentage increase is 20%

A percentage is defined as the ratio that can be expressed as a fraction of 100.

The method below shows how you would calculate the % increase.

First step: Find the increase:

increase = 480 - 400 = $80

Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:

80/400 * 100 = 20%

Learn more about percentage on:

brainly.com/question/843074

#SPJ1

Answer:

0

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Answer: 15 min each chore

Step-by-step explanation: 60 divided by 4 = 15

Answer:

15 minutes per chore.

Step-by-step explanation:

An hour is made up of 60 minutes. 60 divided by 4 is 15. 15 minutes can also be referred to as "a quarter of an hour".

Answer:

$\(45\)

Step-by-step explanation:

\(30\)% \(\mathrm{of}\) $\(150\)

\(=\frac{30}{100}\times 150\\\)

\(=\) $\(45\)

Answer:

Step-by-step explanation:

2g=7h-3f

g=\(\frac{7h-3f}{2}\)

Answer:

g= \(g=\frac{7}{2}h- \frac{3}{2}f\), f∈R, h∈R

Step-by-step explanation:

3f+2g=7h

2g=7h-3f

g=\(\frac{7}{2}h - \frac{3}{2} f\)

Answer:

7.8333333

Step-by-step explanation:

Answer:

Slope = 1/5

Step-by-step explanation:

Given equation,

→ -x + 5y = 10

The slope-intercept form,

→ y = mx + b

→ slope = m

Now the slope-intercept form is,

→ -x + 5y = 10

→ 5y = x + 10

→ y = (x + 10)/5

→ [ y = (1/5)x + 2 ]

Then the required slope will be,

→ y = (1/5)x + 2

→ Slope = m = 1/5

Hence, the required slope is 1/5.

Answer:

\(\textsf{Slope}=\dfrac{1}{5}\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}\)

Given equation:

\(-x+5y=10\)

To find the slope of the given equation, use algebraic operations to isolate y.

Add x to both sides of the equation:

\(\implies -x+5y+x=10+x\)

\(\implies 5y=x+10\)

Divide both sides of the equation by 5:

\(\implies \dfrac{5y}{5}=\dfrac{x+10}{5}\)

\(\implies y=\dfrac{1}{5}x+\dfrac{10}{5}\)

\(\implies y=\dfrac{1}{5}x+2\)

The coefficient of x is the slope of the equation.

Therefore, the slope of the given equation is ¹/₅.

Answer:

the answer is D according to my scorrs

The values of b for which f is continuous at x = 3 are -4.5 and 0.394. Hence, the answer is (C).

What is continuous function ?
A continuous function is a function that does not have any abrupt changes or jumps in its values over its domain. More formally, a function f(x) is said to be continuous at a point x = a if the following three conditions are met:

According to question:
To determine the continuity of the function f at x = 3, we need to check if the left-hand limit, right-hand limit, and the value of the function at x = 3 are equal. In other words, we need to check if:

lim(x → 3- ) f(x) = lim(x → 3+ ) f(x) = f(3)

For x < 3, we have f(x) = e^(bx). Therefore, the left-hand limit at x = 3 is:

lim(x → 3- ) f(x) = lim(x → 3- ) e^(bx) = e^(3b)

For x > 3, we have f(x) = x + b. Therefore, the right-hand limit at x = 3 is:

lim(x → 3+ ) f(x) = lim(x → 3+ ) (x + b) = 3 + b

Finally, the value of the function at x = 3 is:

f(3) = e^(3b) = 3 + b

Now we need to solve the system of equations:

e^(3b) = 3 + b

e^(3b) - b - 3 = 0

Therefore, the values of b for which f is continuous at x = 3 are -4.5 and 0.394. Hence, the answer is (C).

To know more about Continuous function visit:

https://brainly.com/question/1111011

#SPJ1

Answer:

63°

Step-by-step explanation:

The division ➗ ÷ sign will make the expression correct if you correct the question!

Solution

The (1 - α)% confidence interval for population parameter implies that there is a (1 - α) probability that the true value of the parameter is included in the interval.

Option A, B and D.

Answer: $203

Step-by-step explanation: We first start out with the exponential decay model which is y=a(1-r)^t, then plug in the numbers of your problem:

-y=26,000(1-0.50)^7

-y=26,000*0.50^7

-y=26,000*0.0078125

-y=203.125

Then, after rounding to the nearest hundred dollars you get your answer....

:) hope this helped a bit

The value of the car 7 years after it was purchased will be $203.

A quantity lowers gradually at first during exponential decay before rapidly declining after that. Half-life may be calculated using the exponential decay formula, which is also used to estimate population decrease.

It is given that, A brand-new car costs $26,000 to buy, and every five years, its value decreases by 50%.

We have to find the value of the car 7 years after it was purchased

The exponential decay model, y=a(1-r)t, is where we begin. The data from your problem are then entered.

y=-26,000(1-0.50)^7

y=-26,000*0.50^7

y=-26,000*0.0078125

y=-203.125         (-ve shows the value is declining)

Thus, the car will be worth $203 seven years after it was bought.

Learn more about the exponential decay here:

brainly.com/question/14355665

#SPJ2

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

Find out more on fractions here: https://brainly.com/question/78672

#SPJ1

The equation of the polynomial equation is P(x) = -12(x + 3))(x + 1)(x - 2)

Polynomial expressions are mathematical statements that are represented by variables, coefficients and operators

The given parameters are

The sum of multiplicities of the polynomial equation must be equal to the degree.

This means that the multiplicity of each zero is 1

The equation of the polynomial is then calculated as

P(x) = Coefficient * (x - zero)^ multiplicity

So, we have

P(x) = -12(x - (-3))(x - (-1))(x - 2)

This gives

P(x) = -12(x + 3))(x + 1)(x - 2)

Hence, the equation of the polynomial equation is P(x) = -12(x + 3))(x + 1)(x - 2)

Read more about polynomial at

https://brainly.com/question/17517586

#SPJ1

The length of side AB in right angled triangle ABC  will be 48 cm.

Every triangle with one 90° angle is said to have a right angle. The triangle with a right angle is known as a right triangle because a right angle is 90 degrees.The longest side of a right angle is known as the hypotenuse, and it is opposite the right angle.

Given,

∠B= 90°, AC = 96 cm, ∠C = 30°

Now, we know, Trignometric ratio sin θ in triangle can be given by-:

sin θ = \(\frac{perpendicular}{hypotenuse}\)

From given figure,

Perpendicular= AB= ?

and Hypotenuse= AC = 96

and θ= 30°

Hence,

sin 30° =\(\frac{perpendicular}{hypotenuse}\)= \(\frac{AB}{96}\)

\(\frac{1}{2} = \frac{AB}{96}\)                                      (∵ sin 30°= 1/2)

\(AB=\frac{96}{2}\)

\(AB= 48 cm\)

Thus, AB= 48 cm

Learn more about right angled triangle here:

https://brainly.com/question/3772264

#SPJ1

Correct Question:ABC is a right angled triangle. if B = 90°, AC = 96 cm, C = 30°. Find AB = ?

The equation that can be used to calculate the concrete weight, w = k·v, and the 740 pounds weight of 5 cubic feet concrete, gives the value of k (which is the density of the concrete) as 148 lb/ft³

The density of a material is the ratio of the mass of the material to its volume.

(b) The weight, w of the concrete is directly proportional to the volume, v of the concrete

The weight of 5 cubic feet = 740 pounds

The equation that can be used to calculate the weight of a given volume of concrete is; w ∝ v

Where;

k = The constant of proportionality

Which gives;

\(k = \dfrac{w}{v}\)

In a proportional relationship between two variables, one variable is a constant multiple of the other such that the ratio of the two variables is a constant, k, which can be found using the value for the data point in the question;

When the weight is 740 pounds, the volume is 5 cubic feet, which gives;

\(k = \dfrac{740\, lb }{5\, ft^3} = 148\, lb/ft^3\)

Learn more about the constant of proportionality here:

https://brainly.com/question/22167107

#SPJ1

Answer:

4 8 12 9

Step-by-step explanation:

it's easy as heck like

Answer:

C

Step-by-step explanation:

a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.

In base seven, we have the following conversions:

1 long = 1 unit

1 flat = 10 units

1 block = 10 flats

To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.

So, the fewest number of multibase blocks required would be 2 flats.

Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.

In base three, we have the following conversions:

1 long = 1 unit

1 flat = 3 units

1 block = 3 flats

To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.

So, the fewest number of multibase blocks required would be 3 flats and 1 unit.

Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

for such more question on fewest number

https://brainly.com/question/859564

#SPJ8

From the question, it says in the c oordinate plane below, we should plot three poiints correspomding to the values x = -2, x = 0, and x = 2 in the equation y = -1 - 2x

recall, a linear function is a rule that assigns to each real number x the number y = mx + n, where m, n are real numbers.

The graph of a linear function is a straight line defined by two points of the function.

So, we have to plot the three points corresponding to the given values of x in the linear equation y = -1 - 2x. Therefore, we have to find the corresponding values of y by substituting the values of x in the given equation

For x = -2, we have y = -1 - 2(-2) = 3

For x = 0, we have y = -1 - 2(0) = -1

For x = 2, we have y = -1 - 2(2) = -5

Then the staight line that represents the linear function passes through the points A(-2, 3), B(0, -1) and C(2, -5)

The probability that the mean fill is more than 84.8 ounces is 0.39358

From the question, the given parameters about the normal distribution are

Mean value of the set of data = 88.2

Standard deviation value of the set of data = 1.3

The actual data value = 88.2

The z-score of the data value is calculated using the following formula

z = (x - mean value)/standard deviation

Substitute the given parameters in the above equation

z = (88.2 - 87.9)/1.3

Evaluate the difference of 88.2 and 87.9

z = 0.3/1.3

Evaluate the quotient of 0.3 and 1.1

z = 0.23

The probability that the mean fill is more than 88.2 ounces is then calculated as:

P(x > 88.2) = P(z > 0.23)

From the z table of probabilities, we have;

P(x > 88.2) = 0.5910

Hence, the probability that the mean fill is more than 84.8 ounces is 0.5910

Learn more about probability at:

brainly.com/question/25870256

#SPJ1

Answer:

the answer is

x=22..........

Answer:

$18.74

Step-by-step explanation:

To find the sale price:

22 * 0.2 = 4.4

22 - 4.4 = 17.6

or, you can just multiply by 0.8, so you wont need to subtract later

22 * 0.8 = 17.6

Then, you need to find the tax amount:

17.6 * 6.5 = 1.144

17.6 + 1.144 = 18.744

Round

18.74

Answer:

Q-22 (a) area of each face (square) = sxs

= 10 x 10

= 100 inches²

Total surface area = 6a²

= 6 x 10 x 10

= 600 inches²

Answer:

Hey there!

You can think of the rate of change as the slope of a quadratic function- here we see that it is 9/-3, or - 3.

Let  me know if this helps :)

Answer:

–3 meters per second

Step-by-step explanation:

Answer:

A. Using the lens equation, 1/p + 1/q = 1/f, and substituting f = 5 cm and q = 7 cm, we can solve for p:

1/p + 1/7 = 1/5

Multiplying both sides by 35p, we get:

35 + 5p = 7p

Simplifying and rearranging, we get:

2p = 35

Therefore, the distance from the lens to the object, p, is:

p = 35/2 cm

B. Solving the lens equation, 1/p + 1/q = 1/f, for q, we get:

1/q = 1/f - 1/p

Substituting f = 5 cm, we get:

1/q = 1/5 - 1/p

Multiplying both sides by 5qp, we get:

5p = qp - 5q

Simplifying and rearranging, we get:

q = 5p / (p - 5)

Therefore, the expression that gives q as a function of p is:

q = 5p / (p - 5)

C. Here is a sketch of the graph of q(p):

The graph is a hyperbola with vertical asymptote at p = 5 and horizontal asymptote at q = 5. The image distance q is positive for object distances p greater than 5, which corresponds to a real image. The image distance q is negative for object distances p less than 5, which corresponds to a virtual image.

D. Taking the limit of q as p approaches infinity, we get:

lim q(p) = 5

This represents the horizontal asymptote of the graph. As the object distance becomes very large, the image distance approaches the focal length of the lens, which is 5 cm.

Taking the limit of q as p approaches 5 from the positive side, we get:

lim q(p) = -infinity

This represents the vertical asymptote of the graph. As the object distance approaches the focal length of the lens, the image distance becomes infinitely large, indicating that the lens is no longer able to form a real image.

In order for the lens to form a real image, the object distance p must be greater than the focal length f. When the object distance is less than the focal length, the lens forms a virtual image.

Answer:

x = 145

Step-by-step explanation:

x and 35° lie on a straight line and are supplementary angles , sum to 180°

x + 35 = 180 ( subtract 35 from both sides )

x = 145