translate the English phrase into an algebraic expression: the quotation of y and 8

Answer:

y = sec(x-2) - 1

Step-by-step explanation:

We can determine the graph is of a secant by the repeating parabolas. From there, graph sec(x) and add the transformations necessary to replicate the graph.

Divide 44 by 50

.88

Step-by-step explanation:

88%

Answer:

88%

Step-by-step explanation:

the number of correct answers (44) divided by the total questions (50) = 88%

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The current price of the item is 97.06

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Original price of an item = 99.15

The price has been reduced by 2.09.

The current price.

= 99.15 - 2.09

= 97.06

Thus,

The current price of the item is 97.06

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Answer:

Step-by-step explanation:

Divide the circle into 10 parts and color 2 parts black and 8 parts red.

Answer:

1 7/18

Step-by-step explanation:

I Had Also Taken The Test And It Was 1 7/18 In Mixed Numbers.

The expression 4(19 + e2) + 3f at e = 13 and f = 16 is 804.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, we have to Evaluate the expression 4(19 + e2) + 3f when e = 13 and

f = 16 is the same as replacing the numerical values of e and f in the expression

4(19 + e2) + 3f which is,

= 4(19 + 13²) + 3×16.

= 4(19 + 169) + 48.

= 4(189) + 48.

= 756 + 48.

= 804.

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the sum of the interior angles of a triangle is equal to 180, therefore:

7x + 30 + y = 180

Where y = Missing angle

Solving for y:

y = 180 - 30 - 7x

y = 150 - 7x

The missing angle y and the angle 10x are supplementary angles, this means:

10x + y = 180

Replacing the value of y:

10x + 150 - 7x = 180

3x + 150 = 180

Solving for x:

3x = 180 - 150

3x = 30

x = 30/3

x = 10

Since the exterior angle is 10x:

the measurement is :

10(10) = 100

Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$. Therefore $x=y=12\sqrt{3}$, which is our answer

In a 30-60-90 triangle, the sides have the ratio of $1: \sqrt{3}: 2$. Let's apply this to solve for the variables in the given problem.

Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form. x=y=Let's first find the ratio of the sides in a 30-60-90 triangle.

Since the hypotenuse is always twice as long as the shorter leg, we can let $x$ be the shorter leg and $2x$ be the hypotenuse.

Thus, we have: Shorter leg: $x$Opposite the $60^{\circ}$ angle: $x\sqrt{3}$ Hypotenuse: $2x$

Now, let's apply this ratio to solve for the variables in the given problem. We know that $x = y$ since they are equal in the problem.

Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$

Therefore, $x=y=12\sqrt{3}$, which is our answer.

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Answer:

12 x 3/5 = 7 1/5

Step-by-step explanation:

12 x 3/5

Add 1 below 12 as a denominator to make it an improper fraction

= 12/1 x 3/5

Multiply numerators from both fractions as long as the denominators:

12 x 3 = 36

1 x 5 = 5

12/1 x 3/5 = 36/5

36/5 SIMPLIFIED IS 7 1/5

Hope this helps!

Answer:

36/5 = 7.2 = 7 1/5

Step-by-step explanation:

12 x 3/5

Change 12 into fraction form to make it easier.

12/1 x 3/5

Now multiply the numerators and the denominators.

12 x 3 = 36

1 x 5 = 5

12/1 x 3/5 = 36/5

If you don't want the answer as an improper fraction, 36/5 = 7.2 which is also equal to 7 1/5

After solving the exponential equation P(t) = P(0)(1.1)^5, it is obtained that on over 5 years, increasing 10% each year, the prices would have increased by 61%.

What is an exponential function?

The formula for an exponential function is f(x) = a^x, where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.

If journal prices had a constant rate of increase, it's prices could be modeled by the following exponential equation -

P(t) = P(0)(1+r)^t

In which P(t) is the price after t years, P(0) is the initial price and r is the rate of increase.

If the rate is increased 10% each year, then r = 0.10.

Substitute the value into the equation -

P(t) = P(0)(1+0.1)^t

P(t) = P(0)(1.1)^t

Now, for time period of 5 years, t = 5.

Substitute the value into the equation -

P(t) = P(0)(1.1)^5

P(t) = 1.61051P(0)

The initial price is 100%, which gives -

P(t) = 1.61051P(0) - P(0)

P(t) = 0.61051

Therefore, the price increase percentage is 61%.

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Answer:

4.5

Step-by-step explanation:

Answer:

it is 9/2

Step-by-step explanation:

soo uhhh first cancel out two

so it becomes 3 (3/2) then it equals to 9/2

Answer:

33

Step-by-step explanation:

f(x) = 4x-3

Let x= 9

f(9) = 4*9 -3

     36-3

     33

Answer:

\(\Huge \boxed{{x=3}}\)

\(\rule[225]{225}{2}\)

Step-by-step explanation:

f(x) = 4x - 3

f(x) = 9

Substituting.

9 = 4x - 3

Adding 3 to both sides.

12 = 4x

Dividing both sides by 4.

3 = x

\(\rule[225]{225}{2}\)

3. The volume of the Pringle Chips container is approximately 2034.72 cubic inches.

4. The cake takes up approximately 7317 cubic inches of space.

5. The volume of foam in the model of the volcano is approximately 7234.08 cubic centimeters.

1. The units for Volume are always cubed.

2. Volume is the amount of space an object takes up. True.

3. To calculate the volume of the Pringle Chips container, we need to find the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where π is a constant (approximately 3.14), r is the radius, and h is the height. Given that the diameter is 9 inches, the radius would be half of that, which is 4.5 inches. Substituting the values into the formula, we have:

V = 3.14 * (4.5)^2 * 32

V = 3.14 * 20.25 * 32

V ≈ 2034.72 cubic inches

4. To find the volume of the 3-tier cake, we need to find the volume of each tier separately and then add them together. Since all the tiers are cylinders, we can use the formula V = πr^2h.

Tier 1:

V1 = 3.14 * (12)^2 * 10 = 4521.6 cubic inches

Tier 2:

V2 = 3.14 * (8)^2 * 10 = 2010.4 cubic inches

Tier 3:

V3 = 3.14 * (5)^2 * 10 = 785 cubic inches

Total volume:

Total V = V1 + V2 + V3

Total V = 4521.6 + 2010.4 + 785

Total V ≈ 7317 cubic inches

5. To find the volume of the Styrofoam model of the volcano, we can use the formula for the volume of a cone, V = (1/3)πr^2h. Given that the diameter is 48 centimeters, the radius would be half of that, which is 24 centimeters. Substituting the values into the formula, we have:

V = (1/3) * 3.14 * (24)^2 * 12

V = (1/3) * 3.14 * 576 * 12

V ≈ 7234.08 cubic centimeters

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Answer:

regroup

Step-by-step explanation:

(1) x² - 2 x - 8 and Option (2) x² + 2 x - 8 are two polynomials which has been factored.

Given are the polynomials,

1) x² - 2 x - 8

Factors = (x+2)(x-4)

2) x² + 2 x - 8

Factors = (x-2)(x+4)

3) x²-2x-4 = There will be no integral root.

4) x²+2x-4 = There will be no integral root.

Hence the (1) x² - 2 x - 8 and Option (2) x² + 2 x - 8 are two polynomials which has been factored.

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Answer:

m=0

Step-by-step explanation:

the slope is calculated using two points on the line and the formula

m = (y2 - y1) ÷ (x2 - x1)

where

x1 and y1 are the coordinates of point 1

x2 and y2 are the coordinates of point 2

for example, you can take

point 1 = (x1;y1) = (-2;3)

point 2 = (x2;y2) = (-1;3)

then your slope is

m = (3 - 3) ÷ (-1 - (-2)) = 0

notice that x1 is always at the left of x2 on the x axis

and it makes sense that your slope is 0 because for each x your y is the same

Answer:

x = 10

y = 5

Step-by-step explanation:

Since, two lines p and q are the parallel lines and FA is a transversal line intersecting these parallel lines.

ΔAOB and ΔDOC are the similar triangles.

Therefore, by the property of similar triangles, corresponding sides of the similar triangles will be proportional.

\(\frac{AO}{OD}= \frac{OB}{OC}\)

\(\frac{x}{15}= \frac{8}{12}\)

x = \(\frac{15\times 8}{12}\)

x = 10

Similarly, triangles AOB and OEF will be similar.

And by the property of similar triangles,

\(\frac{AO}{OF}= \frac{OB}{OE}\)

\(\frac{x}{15+y}= \frac{8}{12+4}\)

\(\frac{10}{15+y}= \frac{8}{16}\)

8(15 + y) = 160

120 + 8y = 160

8y = 160 - 120

8y = 40

y = 5

There are 4 cups of brown sugar are required for every 12 cups of white sugar.

A recipe calls for 2 cups of brown sugar for every 6 cups of white sugar. We can set up a proportion to find the relationship between the two quantities:

2 cups brown sugar / 6 cups white sugar = x cups brown sugar / 12 cups white sugar

To find the number of cups of brown sugar required for 12 cups of white sugar, we can cross-multiply and then solve for x:

2 cups brown sugar × 12 cups white sugar = 6 cups white sugar × x cups brown sugar

24 cups brown sugar = 6x cups brown sugar

x = 24/6

x = 4

So, 4 cups of brown sugar are required for every 12 cups of white sugar.

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Answer:

-539.25

Step-by-step explanation:

(w^2x−3)÷10⋅z

w=−9, x = 2.7, and z=−25

((-9)^2*2.7−3)÷10⋅(-25)

Parentheses first

The exponent in the parentheses

(81*2.7−3)÷10⋅(-25)

Then multiply

(218.7−3)÷10⋅(-25)

Then subtract

(215.7)÷10⋅(-25)

Now multiply and divide from left to right

21.57*(-25)

-539.25

Answer: It's -1 2/25.

Answer:

no because natural numbers are positive integers (whole numbers) 1, 2, 3, etc., and sometimes zero as well. not variables

Answer:

436.96

Step-by-step explanation:

Using the compoybd interest formula A=P(1+R÷N)^nt

A= Final amount 436.96

P= Initial Balance 420

r= interest rate 4%

n= number of times interest applied per time period 2

t = number of times periods elapsed 2

Bruce gets total $454.272 amount after 2 years.

Interest accrued on both the principal sum of money and the interest already earned.

The formula for compound interest is p(1+r/100)ⁿ - p

Where p is principal, r is rate and n is time.

Given that,

The amount invested by Bruce p = $420.

The rate of interest that compounded yearly r = 4%.

Time duration n = 2 years

To find the amount at the end of two year,

Amount = p(1+r/100)ⁿ

Substitute the values here,

Amount = 420 (1 + 4 / 100)²

= 420 (104/100)²

= 420 x (1.04)²

= 420

= 454.272

The amount after 2 years is $454.272.

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Answer:

x ≤ -6

Step-by-step explanation:

\(3x+5\leq -13\)

Step 1 (Subtract 5 from both sides):

\(3x+5-5\leq -13-5\\3x\leq -18\)

Step 2 (Divide both sides by 3):

\(\frac{3x}{3} \leq \frac{-18}{3}\\ x\leq -6\)

Solution set expressed in set-builder notation:

{x | x ≤ -6}

Solution set expressed in interval notation:

(-∞, -6]

As h decreases, the value of (the change in x^2)/h increases, since 16h gets divided by a smaller value of h. For example, when h=0.1, (the change in x^2)/h = 16/0.1 = 160.

a. If h=1, then (the change in x^2)/h = 16/1 = 16

b. If h=0.1, then (the change in x^2)/h= 16/0.1 = 160

c. If h=0.01, then (the change in x^2)/h= 16/0.01 = 1600

d. If h=0.001, then (the change in x^2)/h= 16/0.001 = 16000

The change in x^2 refers to the difference in the value of x^2 when x is increased from 4 to 4+h. In other words, it is the difference between (4+h)^2 and 4^2. The change in x^2 is 16h, since (4+h)^2 = 16h + 4^2. To find (the change in x^2)/h, we simply divide 16h by h, which gives us 16. So, for each of the values of h given, when x is increased from 4 to 4+h, (the change in x^2)/h is 16. As h decreases, the value of (the change in x^2)/h increases, since 16h gets divided by a smaller value of h. For example, when h=0.1, (the change in x^2)/h = 16/0.1 = 160.

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The amount natalya will spend constructing the patio with concrete and brick is $4320, the correct option is D.

We are given that;

The concrete portion of the patio cost=$3 per square

To construct and the brick portion of the patio cost= $6 per square

Now,

The area of a rectangle is given by length times width. The concrete portion of the patio is a rectangle with length 6 cm and width 3 cm. Using the scale, we can convert these to feet:

6 cm = 6 x 4 ft = 24 ft 3 cm = 3 x 4 ft = 12 ft

Therefore, the area of the concrete portion is:

24 ft x 12 ft = 288 ft^2

The brick portion of the patio consists of two identical rectangles with lenth 3 cm and width 6 cm. Using the scale, we can convert these to feet:

3 cm = 3 x 4 ft = 12 ft 6 cm = 6 x 4 ft = 24 ft

Therefore, the area of one brick rectangle is:

12 ft x 24 ft = 288 ft^2

Since there are two brick rectangles, the total area of the brick portion is:

2 x 288 ft^2 = 576 ft^2

Now we can multiply the areas by their costs per square foot to get the costs of each portion:

Concrete cost = $3 x 288 ft^2 = $864 Brick cost = $6 x 576 ft^2 = $3456

The total cost of constructing the patio is the sum of the costs of each portion:

Total cost = $864 + $3456 = $4320

Therefore, by area the answer will be $4320.

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The correct answer is Graph 1: y = cos(x/4)Graph 2: y = cos(x/2)

Based on the given descriptions of the graphs and the patterns they follow, the correct pairs are:

Graph 1: y = cos(x/4) ⟶ This graph has a period of 8 units and matches the pattern described.Graph 2: y = cos(x/2) ⟶ This graph has a period of 4 units and matches the pattern described.

Graph 3: y = cos(x) ⟶ This graph has a period of 2π (or approximately 6.28 units) and matches the pattern described.

Graph 4: (Not used)

Graph 5: (Not used)

Please note that without visual representation, it's difficult to provide a definitive answer. The pairs are based on the descriptions provided and may vary depending on the actual shapes of the graphs.

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Answer:

\( \frac{1}{6} \)

Step-by-step explanation:

1/8 ÷ 3/4 is 1/6 because that's as many times it can go into to it and u would have to do keep chang flip

1

\( \frac{1}{8} \div \frac{3}{4} \\ \frac{1}{8} \times \frac{4}{3} = \frac{4}{24} \\ \frac{4}{24} \div \frac{4}{4} = \frac{1}{6} \)

Answer:

28

Step-by-step explanation:

subtract 248 from 360 to get 112, add up all x's to get 4, then divide 112 by 4 to get 28

Answer:

ah P00

Step-by-step explanation:

Answer:

The graph shifts 3 units down.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

C) 2/100

Step-by-step explanation:

0.02 = 2/100

Answer:

It Is C

Step-by-step explanation:

Answer:

224

Step-by-step explanation:

360.-136.