Write this in a Algebraic expression. (Use x as your variable) The sum of x squared and y

To graph a linear function as given you need to find two points on the line.

When x=0

Point (0,-10)

When x=1

Point (1,-9)

You put those points in the plane and draw a line that passes through both points:

Step-by-step explanation:

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Answer:

Number of tiles = 26 tiles

Step-by-step explanation:

To determine the number of 1'x1' tiles needed to go around the pond, we first calculate the perimeter of the pond and then divide it by the area of each tile.

The perimeter of a rectangular pond can be calculated by adding the lengths of all four sides. In this case, the length is 9 feet and the width is 4 feet. So, the perimeter is:

Perimeter = 2 × (Length + Width)

Perimeter = 2 × (9 + 4)

Perimeter = 2 × 13

Perimeter = 26 feet

Now, we divide the perimeter by the length of each tile (1 foot) to determine the number of tiles needed:

Number of tiles = Perimeter / Tile length

Number of tiles = 26 feet / 1 foot

Number of tiles = 26 tiles

Therefore, you would need 26 tiles measuring 1'x1' to go around your pond.

Answer:

∠ h = 75°

Step-by-step explanation:

∠ e = ∠ a = 105° ( corresponding angles )

∠ h and ∠ e are adjacent angles and sum to 180°

∠ h + 105° = 180° ( subtract 105° from both sides )

∠ h = 75°

The value of 'e' is defined by the following expression:

That means if we use large values for n in the expression (1 + 1/n)^n, the result will approximate the value of 'e'.

Therefore the correct option is B.

Solution

Step 1

State an expression for the volume of a cylinder

Where

π= 3.14

Diameter = 14m

Radius(r) = diameter/2 = 14/2 = 7m

Height (h)= 10m

Step 2

Substitute and find the volume

Hence, the volume of the cylinder = 1538.6m³ to the nearest tenth

Answer:

Approximately \(153.94\) \(in^2\)

Step-by-step explanation:

Recall the formula for the area of a circle:

\(\pi r^2\)

Where r is the radius.

We are given that the radius is 7 inches. Let's plug that into our formula and solve it. We have:

\(\pi r^2=\\\pi (7)^2=\\\pi (49)=\\49\pi\)

From here, we multiply our answer by pi using a calculator and round.

Answer:

The y-intercept is (0, 4/3) and the equation of is y = -1/6x + 4/3. if the y-coordinate of point c is 13, its x-coordinate is -70

The equation of a line in slope-intercept form is y = mx + b

where;

m is the slope

b is the y-intercept

Given the coordinate points (14, -1) and (2, 1)

Slope = 1-(-1)/2-14

Slope = 2/-12

Slope = -1/6

Determine the y-intercept

1 = -1/6(2) + b

1 = -1/3 + b

b = 1 + 1/3

b = 4/3

The given equation of the line is y = -1/6x + 4/3

For the y-intercept

y = -1/6(0) + 4/3

y = 4/3

Hence the y-intercept is (0, 4/3)

For the x-intercept

0 = -1/6(x) + 4/3

1/6x = 4/3

24x = 3

x = 1/8

Hence the x-intercept is (1/8, 0)

If the y-coordinate of point C is 13, hence;

y = -1/6x + 4/3

13 = -1/6x + 4/3

-1/6x = 13 - 4/3

-1/6x = 35/3

-1/2 x = 35

x = -70

The y-intercept is (0, 4/3) and the equation of is y = -1/6x + 4/3. if the y-coordinate of point c is 13, its x-coordinate is -70

Answer:

Step-by-step explanation:

Answer: 0.86

Step-by-step explanation:

Answer: g(-2) = 17

Step-by-step explanation:

         When finding g(-2), we will substitute all values of x for -2 in the function. First, we will substitute values in. Then, we will simplify by squaring, multiplying, and adding.

g(x) = 3x² -2x + 1

g(-2) = 3(-2)² -2(-2) + 1

g(-2) = 3(4) + 4 + 1

g(-2) = 12 + 4 + 1

g(-2) = 17

Answer:

OD 60 in by 45 in

Step-by-step explanation:

The intersection of sets M and F contains the elements "c" and "d".

To find the intersection of sets M and F, we need to identify the elements that are common to both sets.

M = {a, b, c, d}

F = {c, d, e, f}

The intersection of M

and F is denoted by M ∩ F, which represents the set containing elements that are present in both M and F.

Looking at the elements in M and F, we can see that the common elements between the two sets are "c" and "d".

Therefore, the intersection of M and F can be expressed as:

M ∩ F = {c, d}

So, the intersection of sets M and F contains the elements "c" and "d".

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Answer:

72

Step-by-step explanation:

have a nice day! :)

Step-by-step explanation:

Square roots are most often written using a radical sign, like this, √4 . But there is another way to represent them. You can use rational exponents instead of a radical. A rational exponent is an exponent that is a fraction.

Answer:

B. 22

Step-by-step explanation:

We know tan60=

\( \sqrt{3} \)

Let common side be x

Tan = opp/adj= sqrt(3)

\( \frac{11 \sqrt{6} }{x} = \sqrt{3} \)

Transposing we get :

\( \frac{11 \sqrt{6} }{ \sqrt{3}} = x = 11 \sqrt{2} \)

Now, we know that since the other triangle is a 45-45-90 triangle, we can state that the side adjacent to the given angle = 11 sqrt(2) as the two sides are equal due to the triangle being an isoceles triangle.

Solve for x by using Pythagorean theorem:

\( \sqrt((11 \sqrt{2}^{2} + (11 \sqrt{2} )^{2} ) = x\)

\( = > \sqrt{2(11 \times 11 \times \sqrt{2} \times \sqrt{2}) } = x\)

\( = > \sqrt{484} = x = 22\)

Hence answer is B. 22

Answer:

Answer is 6^9 ÷ 6^-2

Step-by-step explanation:

6^14 ÷ 6^2 = 6^14-2

= 6^12

And

6^9 ÷ 6^-2 = 6^9-(-2)

= 6^11

Which is less than 6^12

Hope that my answer is helpful to you

Answer:

x = 12.5

Step-by-step explanation:

3(2x + 5) = 90 ( divide both sides by 3 )

2x + 5 = 30 ( subtract 5 from both sides )

2x = 25 ( divide both sides by 2 )

x = 12.5

6xAnswer:

6x + 15 =90

6x = 90 - 15

6x= 75

x=12.5

Answer:

Step-by-step explanation:

log(0.5)^16=log(1/2)^16

                  =log(2^(-1))^16

                  =-16log(2)=-4.81647

The annual interest rate is 7.5%.

What is Simple interest?

Simple interest is a type of interest that is calculated on the principal amount (or the initial amount) of a loan or investment, without taking into account any accumulated interest from previous periods.

The formula for simple interest is:

I = P × r × t

where I is the interest earned, P is the principal (initial amount), r is the annual interest rate as a decimal, and t is the time in years.

In this case, we know I = $562.50, P = $1500, and t = 5 years.

we ca substitute values into the formula,

562.50 = 1500× r ×5

Simplifying, we get:

r = 562.50 / (1500 ×5)

r = 0.075

r = 7.5%

Therefore, the annual interest rate is 7.5%.

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(In c) * 1/c = 0.0604 is the change in the function.

According to the statement

y = (In x)^2 on interval [1,4]

By mean value theorem

we use this formula to find a change f '(c)= [f(b) - f(a)] / (b - a)

Let it f(y) = (In x)^2

Now, f(4) = (In 4)^2

f(4) = (0.602)^2

f(4) = 0.3624

and

f(1) = (In 1)^2

f(1) = (0)^2

f(1) = 0

Now, f'(c) = 2 (In c) * 1/c

Substitute all these values in a formula

2 (In c) * 1/c = 0.3624 - 0 / 4 - 1

2 (In c) * 1/c = 0.3624/3

2 (In c) * 1/c = 0.1208

(In c) * 1/c = 0.0604

So, (In c) * 1/c = 0.0604 is the change in the function.

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Answer:

sheeren would have 5 friends

Step-by-step explanation:

The new balance is a credit of $ 48.78.

Since Ben Shield's credit card uses the unpaid-balance method to compute the finance charge at a monthly periodic rate of 1.875%, and during the monthly billing cycle, Ben charged $ 238.75, made a payment of $ 300.00, and had a finance charge of $ 7.99, to find his new balance, the following calculations must be performed:

Therefore, the new balance is a credit of $ 48.78.

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Answer:

The respiratory system extends from the nose and upper airway to the alveolar surface of the lungs, where gas exchange occurs. Inhaled tobacco smoke moves from the mouth through the upper airway, ultimately reaching the alveoli. As the smoke moves more deeply into the respiratory tract, more soluble gases are adsorbed and particles are deposited in the airways and alveoli. The substantial doses of carcinogens and toxins delivered to these sites place smokers at risk for malignant and nonmalignant diseases involving all components of the respiratory tract including the mouth.

Answer:

square root of 133

Step-by-step explanation

Pick a number between 11 and 12

Square the number (To the 2nd power)

Then add like 1 or something so the number is still between 11 and 12

Then use a calculator and do the square root of the number to check if it is still between 11 and 12

Answer:

0.12 chose strawberry as their favorite

Initial amount is the first value in the equation = 575

The rate is inside the parentheses and is added/ subtracted from 1.

The value inside the parentheses is 0.6 which is 60 % decay

Replace t with 3 and solve:

575 (1-0.6)^3 = 36.8

Answer:

381

Step-by-step explanation:

232 + 88 = 320

320 + 61 = 381

Hope this helped and brainliest please

Answer:

\(\displaystyle \frac{75}{2}\) or \(37.5\)

Step-by-step explanation:

We can answer this problem geometrically:

\(\displaystyle \int^6_{-4}f(x)\,dx=\int^1_{-4}f(x)\,dx+\int^3_1f(x)\,dx+\int^6_3f(x)\,dx\\\\\int^6_{-4}f(x)\,dx=(5*5)+\frac{1}{2}(2*5)+\frac{1}{2}(3*5)\\\\\int^6_{-4}f(x)\,dx=25+5+7.5\\\\\int^6_{-4}f(x)\,dx=37.5=\frac{75}{2}\)

Notice that we found the area of the rectangular region between -4 and 1, and then the two triangular areas from 1 to 3 and 3 to 6. We then found the sum of these areas to get the total area under the curve of f(x) from -4 to 6.

Answer:

\(\dfrac{75}{2}\)

Step-by-step explanation:

The value of a definite integral represents the area between the x-axis and the graph of the function you’re integrating between two limits.

\(\boxed{\begin{minipage}{8.5 cm}\underline{De\:\!finite integration}\\\\$\displaystyle \int^b_a f(x)\:\:\text{d}x$\\\\\\where $a$ is the lower limit and $b$ is the upper limit.\\\end{minipage}}\)

The given definite integral is:

\(\displaystyle \int^6_{-4} f(x)\; \;\text{d}x\)

This means we need to find the area between the x-axis and the function between the limits x = -4 and x = 6.

Notice that the function touches the x-axis at x = 3.

Therefore, we can separate the integral into two areas and add them together:

\(\displaystyle \int^6_{-4} f(x)\; \;\text{d}x=\int^3_{-4} f(x)\; \;\text{d}x+\int^6_{3} f(x)\; \;\text{d}x\)

The area between the x-axis and the function between the limits x = -4 and x = 3 is a trapezoid with bases of 5 and 7 units, and a height of 5 units.

The area between the x-axis and the function between the limits x = 3 and x = 6 is a triangle with base of 3 units and height of 5 units.

Using the formulas for the area of a trapezoid and the area of a triangle, the definite integral can be calculated as follows:

\(\begin{aligned}\displaystyle \int^6_{-4} f(x)\; \;\text{d}x & =\int^3_{-4} f(x)\; \;\text{d}x+\int^6_{3} f(x)\; \;\text{d}x\\\\& =\dfrac{1}{2}(5+7)(5)+\dfrac{1}{2}(3)(5)\\\\& =30+\dfrac{15}{2}\\\\& =\dfrac{75}{2}\end{aligned}\)

The equation that can be used to find b, when E and n are known is: b = (E - 12n) / 8.

This equation can be derived from the original equation of E=8b+12n. To solve for b, we can start by subtracting 12n from both sides of the equation to isolate b. We then divide both sides of the equation by 8 in order to solve for b.

The result is b = (E - 12n) / 8. This equation can be used to find the number of bracelets (b) when the total earnings (E) and the number of necklaces (n) are known.

We can rearrange the equation to solve for b.

E = 8b + 12n

Subtract 12n from both sides:

E - 12n = 8b

Divide both sides by 8:

(E - 12n)/8 = b

Therefore, the equation to find b, when E and n are known, is:

b = (E - 12n)/8

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The missing ordered pairs that satisfy the equation y = 2x + 4 are (3, 10) and (2, 8).

The equation given is y = 2x + 4. To compute the missing x and y values, we need to substitute the given ordered pairs into the equation and solve for the missing variable.

Let's assume we have an ordered pair (x, y) that satisfies the equation y = 2x + 4.

For example, let's say one missing value is x = 3. We can substitute this into the equation:

y = 2(3) + 4

y = 6 + 4

y = 10

So, the missing ordered pair is (3, 10).

Similarly, if another missing value is y = 8, we can substitute this into the equation and solve for x:

8 = 2x + 4

4 = 2x

x = 2

So, the missing ordered pair is (2, 8).

In summary, the missing x and y values that satisfy the equation y = 2x + 4 are (3, 10) and (2, 8).

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