Hi, I really need help on radicals and exponents.

Answer: 4/5

Step-by-step explanation:

The area of the stained glass window is 156.56 in².

What is a rectangle?

Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A closed, four-sided rectangle is a two-dimensional shape. A rectangle's opposite sides are equal and parallel to one another, and all of its angles are exactly 90 degrees.

To determine the area of the stained glass window, we can first calculate the area of the rectangle by multiplying its length and width, which is 16 in × 9 in = 144 in².

Next, we need to find the area of each semicircle. The diameter of each semicircle is 4 in, so the radius is 2 in. The area of a circle is given by the formula πr², so the area of each semicircle is (π × (2 in)²) ÷ 2 = 6.28 in².

Since there are two semicircles, their total area is 6.28 in² × 2 = 12.56 in².

To get the total area of the stained glass window, we add the area of the rectangle and the area of the semicircles, giving us a total of 144 in² + 12.56 in² = 156.56 in².

Therefore, the area of the stained glass window is 156.56 in².

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Answer:

Step-by-step explanation:

5(v+10) =

when sorting its  v+10

the common factors would be 5,1

4(x+6)=

when sorting it should be 4

the common factors are 4,2,1.

Regarding resolving the given issue, we have The sum of these probabilities is the likelihood of selecting a fidget and a piece of chocolate, which is (6/10) x (3/7) = 18/70 = 9/35.

A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.

Esther has a total of 48 options available to her, which is equal to the product of her toy and candy options (6+2+2) x (4+3).

selecting a fidget from the reward box has a 6/10 chance of happening, while selecting a chocolate bar from the sweets bag has a 3/7 chance.

The sum of these probabilities is the likelihood of selecting a fidget and a piece of chocolate, which is (6/10) x (3/7) = 18/70 = 9/35.

Consequently, the response is (B) 9/35.

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Step-by-step explanation:

so, the question is, what is bigger : 4/5 or 9/11.

to do this we need to bring both fractions to the same denominator (bottom part).

the least common multiple of 5 and 11 is simply 55.

4/5 = (4/5) × (11/11) = 44/55

9/11 = (9/11) × (5/5) = 45/55

as 45/55 > 44/55, we know now that 9/11 > 4/5, and that the father had therefore traveled the farthest.

The number of hours for the digital pen work with 3 cells would be 5.

Given that,

For his tablet, Keith bought a rechargeable digital pen.

The digital pen uses [tex]\dfrac{3}{5}[/tex] of a cell’s power each hour.

Here, The digital pen uses [tex]\dfrac{3}{5}[/tex] of a cell’s power each hour.

Hence, the number of hours for 1 cell,

[tex]1 cell = \dfrac{1}{3/5}[/tex]

[tex]1 cell = \dfrac{5}{3} \ \text{hours}[/tex]

Therefore, the number of hours the digital pen will work with 3 cells is,

[tex]3 \ \text{cell} = 5\ \text{hours}[/tex]

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Answer:

Step-by-step explanation:

The formula for the volume of a right circular cylinder is:

V = πr²h

where "r" is the radius of the base, "h" is the height, and π is the mathematical constant pi (approximately 3.14).

Substituting the given values, we get:

V = π(5)²(6)

V = 150π cubic inches

Since we are asked to give the volume in cubic inches and not in terms of pi, we can approximate π as 3.14 to get:

V ≈ 150(3.14) ≈ 471

Therefore, the volume of the cylinder is approximately 471 cubic inches, which is closest to option (d) 150.

The approximate value of x starting from x₁ = 3 in xₙ₊₁ = ∛(60 - 2xₙ²) is 3.35

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

xₙ₊₁ = ∛(60 - 2xₙ²)

Starting with x₁ = 3, we have

x₁₊₁ = ∛(60 - 2x₁²)

This gives

x₂ = ∛(60 - 2(3)²)

Evaluate

x₂ = 3.48

Calculating x₃, we have

x₃ = ∛(60 - 2(3.48)²)

Evaluate

x₃ = 3.30

Calculating x₄, we have

x₄ = ∛(60 - 2(3.30)²)

Evaluate

x₃ = 3.37

Calculating x₅, we have

x₅ = ∛(60 - 2(3.37)²)

Evaluate

x₅ = 3.34

Calculating x₆, we have

x₆ = ∛(60 - 2(3.34)²)

Evaluate

x₆ = 3.35

Calculating x₇ we have

x₇ = ∛(60 - 2(3.35)²)

Evaluate

x₇ = 3.34

Calculating x₈, we have

x₈ = ∛(60 - 2(3.34)²)

Evaluate

x₈ = 3.35

See that the values of x is stucked at 3.34 and 3.35

This means that the value of x is x = 3.35

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The double integral  ∬D f(x, y) dxdy = -35²⁸/₃₀

Given the double integral ∬D f(x, y) dxdy where D: y = x, y = x², x = 3. and f(x, y) is (x - y)

First, we find the points of intersection.

So, y = x, y = x²

x = x²

x - x² = 0

x(1 - x) = 0

x = 0 or 1 - x = 0

x = 0 or x = 1

So, we integrate x on the interval [0,1] ∪ [1,3]

So, we have that

∬Df(x, y) dxdy = ∬(x - y) dxdy

= ∬x dxdy - ∬y dxdy

= ∫x dx∫dy - ∫ydy∫dx

= ∫xydx - ∫dxy²/2

= ∫x(x - x²)dx - ∫dx(x - x²)²/2

= ∫x(x - x²)dx - ∫dx(x - x²)²/2

= ∫₀¹x²dx - ∫₀¹x³dx - ∫₁³x²dx/2 - ∫₁³2x³dx/2 + ∫₁³x⁴dx/2

= [x³/3]₀¹ - [x⁴]₀¹ - [x³]₁³/6 - [x⁴]₁³ + [x⁵]₁³/10

= [1³ - 0³] - [1⁴ - 0⁴] - [3³ - 1³]/6 - [3⁴ - 1⁴] + [3⁵ - 1⁵]/10

= 1 - 1 - [27 - 1]/6 - [81 - 1] + [243 - 1]/10

= 0 - 26/6 - 80 + 242/10

= - 26/6 - 80 + 242/10

= (-130 - 2400 + 726)/30

= -1078/30

= -35²⁸/₃₀

So, the double integral is -35²⁸/₃₀

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The piecewise function in the graph is:

f(x) = -1  if x ≤ -5

f(x) = x - 1   if x > 3

First, on the left side we can see a constant function that ends at x = -5, so we can write that first part as:

f(x) = -1  if x ≤ -5

The second part is a line that starts at x = 3 (but does not contain it). It is a linear equation, and we can see the points (3, 2) and (4, 3), so the slope is 1.

y = x + b

To find the value of b, we can replace any of the points there:

2 = 3 + b

2 - 3  =b

-1 = b

Then the piecewise function is:

f(x) = -1  if x ≤ -5

f(x) = x - 1   if x > 3

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Answer:

A 4-quart carton of yogurt costs $7.04. The price per cup is $0.44 per cup.

Step-by-step explanation:

What is the price?

A price is the sum of money that one party pays or receives in exchange for another's goods or services. The cost of production may go by another name in some circumstances.

If a product is classified as a "good" in a commercial exchange, its price is most likely to be referred to as such.

4 quarts equal one gallon.

That makes 8 quarts ½ a gallon and 4 cups make one quart, as seen by the gallon man in the attachments.

4 quarts equal 16 cups, because 4 x 4 is 16.

$7.04 is the price for a four-quart carton of it.

Now, divide 7.04 by that number to find the price per cup.

7.04 / 16 = 0.44.

Therefore, the price per cup is $0.44 per cup.

Answer:

We assume that A and B are independent events.

P(A) = .6, P(B) = .25

P(A and B) = P(A)P(B) = .6(.25) = .15

P(A or B) = P(A) + P(B) - P(A and B)

= .6 + .25 - .15 = .7

D is correct.

B. The probability of buying bread and cheese is 0.15

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one

Given Data;

The probability that a shopper buys bread, P(A) = 0.6

And, The probability that a shopper buys cheese, P(B) = 0.25

Now, If two events A and B are independent, then the probability that A and B occur is:

P(A∩B) = P(A) x P(B)

Now, Replacing with data:

P(A∩B) = 0.6 x 0.25

P(A∩B)  = 0.15

Thus, The probability of buying bread and cheese is 0.15

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Answer:

His speed is below the maximum speed llimit by 4960km/h

Step-by-step explanation:

elis drives at 40 mph the maximum is 50km/h

so, convert it into the same measurement and subtract

50 km is equal to 5000 miles

50-40 is 10

but if you subtract in is same measurement which is MOST LIKLEY TO BE CORRECT, THE AJSWER IS 4960 kmph

PLS MARK AS BRAINLIEST

Answer:

5x-4

Step-by-step explanation:

-(x+4)+6x           Hope this helps

-x-4+6x

       -1x

  5x-4

Answer:

Let's start with calculating how much money is raised in total:

- Let's assume there are x SUVs and y cars.

- The cost for one SUV is $10 and the cost for one car is $5.

- Therefore, the total cost for all SUVs is 10x and the total cost for all cars is 5y.

- The total cost is the sum of these: 10x + 5y.

Now we need to calculate how much money each team will get. We know that:

- 25% of the money goes to the football team. This can be written as 0.25(10x + 5y) or 2.5x + 1.25y.

- 30% of the money goes to the soccer team. This can be written as 0.3(10x + 5y) or 3x + 1.5y.

- The remaining percent goes to the basketball team. This is 100% - 25% - 30%, which is 45%. This can be written as 0.45(10x + 5y) or 4.5x + 2.25y.

Therefore, the expression to represent how much the soccer team and football team will receive is:

2.5x + 1.25y + 3x + 1.5y = 5.5x + 2.75y

The decimal form of 110% is 1.1

Answer:

[tex]\text{Option F $\rightarrow | -8 - 7|$}[/tex]

Step-by-step explanation:

The difference between -8 and 7 on the number line is

- 8 - 7 = -15

However, as distance is always positive so we take the absolute value of |-8 - 7| = 15

Answer: Option F ==> |-8 -7|

Answer:

1014

Step-by-step explanation:

To get the area of ​​a rectangle we must multiply the length by the width.

So:

[tex]26*39=1014[/tex]

Hope This Helps :)

Pls Brainliest...

Answer:

Step-by-step explanation:

If each of the 100 people is asked to give one preference ballot for one of the five beverage choices, then the winner of the election will be the beverage with the most votes.

We have,

To determine the winner, we need to count the number of ballots for each choice and compare them.

For example, if we count 30 ballots for Coke, 20 for Diet Coke, 15 for Truly, 10 for Wine, and 25 for Beer, then the winner would be Beer, with 25 votes.

If there is a tie between two or more choices, we would need to have a run-off election or some other method to determine the winner.

Thus,

If each of the 100 people is asked to give one preference ballot for one of the five beverage choices, then the winner of the election will be the beverage with the most votes.

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The system of linear equations that can be formed to find x and y is 3x + 2y = 15.12 and 2x + 4y = 19.36. Then one can of chili costs $2.37 and one jar of salsa costs $4.005.

Let us consider  x being  the cost of one can of chili and y be the cost of one jar of salsa.
Then we can write two equations
3x + 2y = 15.12
2x + 4y = 19.36

We can multiply the first linear equation by 2 and subtract it from the second  linear equation in order to  eliminate x
(2x + 4y = 19.36) - 2(3x + 2y = 15.12)
= -4x + 0y
= -9.48

Applying Simplification to this equation
-4x = -9.48
Dividing both sides by -4 gives us:
x = 2.37

Now we can place this value of x into either of the original equations to find y
3(2.37) + 2y = 15.12
7.11 + 2y = 15.12
Subtracting 7.11 from both sides
2y = 8.01
Dividing both sides by 2
y = 4.005
Then, one can of chili costs $2.37 and one jar of salsa costs $4.005.

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According to the radius, the length of the sidewalk needs to be 62.8 feet to go around the pool.

In your case, the pool is circular, which means it has a center and a radius of 10 feet. Now, to find the length of the sidewalk, we need to know the circumference of the circle. The circumference is the distance around the circle and can be calculated using the formula:

circumference = 2 x π x radius

where pi is a mathematical constant that represents the ratio of the circumference of a circle to its diameter, approximately equal to 3.14.

Using the given radius of 10 feet, we can plug it into the formula:

circumference = 2 x 3.14 x 10 feet

which simplifies to:

circumference = 62.8 feet

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Cost of one egg is $1.85.

Assume,

X denotes the cost of 1 egg

Y denotes the cost of 1 sausage

According to question,

Cost equation for Hannah,

3X + 2Y = 7.13   ....(i)

Cost equation for Hannah,

5X + 3Y = 11.62  ....(ii)

Subtract 3x(i) from 2x(ii) we get

X = $1.85 is the cost of one egg.

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The probability that there will be no accidents during the first 2 weeks of January is calculated to be approximately 0.778 or 77.8%.

The first two weeks of January consist of 14 days, so we want to find the probability that no accidents occur in 14 days given that the probability of an accident occurring on any given day is 30/365. We can use the binomial distribution to solve this problem.

Let X be the number of accidents in 14 days. Then X follows a binomial distribution with n = 14 and p = 30/365. The probability of no accidents in 14 days is P(X = 0), which is given by the formula:

P(X = 0) = (n choose 0) x p⁰ x (1-p)⁽ⁿ⁻⁰⁾

where "n choose 0" is the number of ways to choose 0 accidents out of n days, which is simply 1.

Substituting n = 14 and p = 30/365, we get:

P(X = 0) = (1) x (30/365)⁰ x (1 - 30/365)⁽¹⁴⁻⁰⁾ ≈ 0.778

Therefore, the probability that there will be no accidents during the first 2 weeks of January is approximately 0.778 or 77.8%.

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Answer:

= f / g^3.

Step-by-step explanation:

fg^-1 / g^2

= fg^(-1-2)

= fg^-3

= f / g^3.

The Amount of pepperoni used = 9 packages, Amount of sausage used= was 0.9375 packages of pepperoni, so the chef used 8.0625 more packages of pepperoni than sausage.

Multiplication is a basic arithmetic operation that involves combining or adding equal groups of numbers. It is represented by the symbol "x" or "*", and the result of multiplying two or more numbers is called the product. For example, 2 x 3 = 6, which means two groups of three (2 multiplied by 3) equals six.

The chef used 9 packages of pepperoni and 3/8 of a package of sausage. To compare the amount of pepperoni and sausage used, we need to express them in a common unit of measurement. We can do this by converting the 3/8 package of sausage to the equivalent amount in packages of pepperoni.

To do this, we can notice that 1 package of sausage is equivalent to 2.5 packages of pepperoni. Therefore, we can find the amount of sausage in packages of pepperoni as:

(3/8) package of sausage * 2.5 packages of pepperoni per 1 package of sausage = (3/8) * 2.5 packages of pepperoni = 0.9375 packages of pepperoni

Now, we can compare the amount of pepperoni and sausage used:

Amount of pepperoni used = 9 packages

Amount of sausage used = 0.9375 packages of pepperoni

To find the difference, we can subtract the amount of sausage used from the amount of pepperoni used:

9 packages of pepperoni - 0.9375 packages of pepperoni = 8.0625 packages of pepperoni

Therefore, the chef used 8.0625 more packages of pepperoni than sausage.

Therefore, the Amount of pepperoni used = 9 packages, Amount of sausage used= was 0.9375 packages of pepperoni, so the chef used 8.0625 more packages of pepperoni than sausage.

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Using the Alternate exterior angles theorem, the measure of angle QPN, m ∠QPN, is 113.8°

From the question, we are to determine the measure of angle QPN in the given diagram.

To determine m ∠QPN, we will use The Alternate exterior angles theorem

The Alternate Exterior Angles Theorem states that, when two parallel lines are cut by a transversal, the resulting alternate exterior angles are congruent.

In the given diagram,

Angle RSU and Angle QPN are alternate exterior angles.

Thus,

We can write that

m ∠RSU = m ∠QPN

From the given information,

m ∠RSU = 113.8°

Hence,

m ∠QPN = 113.8°

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Answer: Angelia rides 23.33 miles in 5 days.

Step-by-step explanation:

Angelia lives 2 1/3 miles from school, which is equivalent to 2 + 1/3 = 2.333 miles. She rides her bicycle to school and back each day, so she travels twice the distance daily.

Daily distance = 2 × 2.333 miles = 4.666 miles

She does this for 5 days, so the total distance she rides in 5 days is:

Total distance = 4.666 miles/day × 5 days = 23.33 miles

So, Angelia rides 23.33 miles in 5 days.

Answer:23.5 miles (i think)

Step-by-step explanation:

If Angelia bikes 2 1/3 miles 2 times everyday that means she would ride about 4.7 miles per day. In 5 days she would ride 23.5 miles because 4.7 times 5 is 23.5