find the area of the surface generated when the indicated arc is
revolved about y axis: y = 2 from x = 0 to x = 4.

Answer:

so cant help

Step-by-step explanation:

Answer:

43˚

Step-by-step explanation:

As you may know, a triangle angle should always add up to 180˚ so 68˚ and 69˚ added together is 137˚ subtract that by 180 and you will get 43 which is the answer

Hope this helps!

Answer:

x+2

hope this helps ;)

and cute pfp

Answer:

Step-by-step explanation:

x-1, because 3 fits the criteria, x>=1

Answer:

55

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x + 7 > 20

2x > 13

x > 6.5

X=6.5

Answer:

2X+7>20

2X>13

X=13÷2

Answer:

12.49 = r

13 = r to the nearest cm.

Step-by-step explanation:

The formula to calculate the volume is:

V = π*r^2*h

We know that V = 10291 cm^3 and Height (h) = 21cm

V = π*r^2*h

10291 = π*r^2*21

Divide both side by 21

10291/21 = (π*r^2*21)/21

490.05 = π*r^2

Now divide both side by π

490.05/π = (π*r^2)/π

155.99 = r^2

Now square root both side

√155.99 = √(r^2) Note: square and square root cancel eachother out.

12.49 = r or,

13 = r

Answer:

1) Slope, m = 2, y-intercept, b = 5 ↔ y = 2·x + 5

2) Slope, m = 3, y-intercept, b = 5 ↔ y = 3·x + 5

3) Slope, m = 5, y-intercept, b = 4 ↔ y = 5·x + 4

Step-by-step explanation:

The equation of a straight line in slope and intercept form is given as follows;

y = m·x + b

Where;

m = The slope

b = The y-intercept

1) When m = 2 and b = 5, we have;

The equation of the straight line is y = 2·x + 5

2) When m = 3 and b = 5, we have;

The equation of the straight line is y = 3·x + 5

3) When m = 5 and b = 4, we have;

The equation of the straight line is y = 5·x + 4

The equation of the line passing through the points is y = 2/ 5x + 34/ 5

The formula for determining the equation of a line is expressed as;

y = mx + c

Where;

Given the points:

(3, -1) and (8, -1)

Let's determine the slope

The formula for slope is given as;

m = y2 - y1/x2 - x1

substitute the values

m = 1 - (-1)/ 8 - 3

m = 2/5

The intercept, c is given as;

8 = 2/5(3) + c

8 = 6/ 5 + c

c = 8 - 6/ 5

c = 40 - 6 /5

c = 34/ 5

Now, substitute the values

y = 2/ 5x + 34/ 5

Thus, the equation of the line passing through the points is y = 2/ 5x + 34/ 5

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Answer:

3\(\sqrt{7}\)

Step-by-step explanation:

Using the rule of radicals

\(\sqrt{a}\) × \(\sqrt{b}\) = \(\sqrt{ab}\) , then

\(\sqrt{63}\)

= \(\sqrt{9(7)}\)

= \(\sqrt{9}\) × \(\sqrt{7}\)

= 3\(\sqrt{7}\)

For the entire independent-measures experiment 24 individuals are participated.

Different participants are utilized in each condition of the independent variable in an experimental design known as an independent measures design, or between-groups. This indicates that a different group of participants is present for each condition of the experiment. A research strategy known as an independent measures design uses numerous experimental groups with subjects only being assigned to one group. Throughout the experiment, each participant is solely exposed to one independent variable condition. A drug trial for a novel medicine would serve as an example. This has the benefit of preventing order effects, which occur when participants behave differently as a result of the order in which conditions are done, often as a result of factors like boredom or exhaustion.

We are given the value  t(22) = 5.30, p < .01

So here degree of freedom (df) is 22 and it is independent so there is two samples,

so df= n₁+n₂-2

⇒ 22 =  n₁+n₂-2

⇒ n₁+n₂ = 24.

Thus for the entire experiment 24 individuals are participated.

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Answer:

Part A is 8/13 of the whole

Part B is 5/13 of the whole

Step-by-step explanation:

Assuming there are no other parts,

the Whole = A + B is the denominator:

Whole = 40 + 25 = 65

Part A = 40 and Part B = 25 are numerators for each fraction.

The fractions are then:

40/65 and 25/65

Meaning:

Part A is 40/65 of the whole

Part B is 25/65 of the whole

Reducing the fractions, it is also true that:

Part A = 8/13 of the whole

Part B = 5/13 of the whole

Answer:

2

Step-by-step explanation:

5/1 *2/5 =10/5=2

Answer:

The correct answer is 2.

Step-by-step explanation:

To multiply this, we need to turn the integer 5 into a fraction. 5 can also be represented as 5/1.

5/1 x 2/5 =

10/5 =

2

Therefore, the correct answer is 2.

Hope this helps! :D

The determinant of the given matrix is 15.

By observing the matrix [4 6 -1 2 3 2 1 -1 1], we get the value of the determinant to be 15.

To verify this result, we can compute the determinant as follows:`Δ = [4(3(-1) - (-1)(2)) - 6(2(-1) - 1(2)) + (-1)(2(2) - 3(1))]

`Expanding the equation, we get: `Δ = [4(-5) - 6(-6) + (-1)(-1)]`

Δ = [-20 + 36 - 1]

`Δ = 15`

Therefore, the determinant of the given matrix is 15.

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If a random sample of 35 cars are loaded onto the ferry, the probability that the maximum safe weight will be exceeded is 0.014 or 1.4%.

Let X be the weight of a single passenger car. The mean weight of a car is μ = 1.7 tons and the standard deviation is σ = 0.8 tons.

The total weight of 35 cars is:

W = 35X

By the central limit theorem, the distribution of W is approximately normal with mean μ_W = 35μ = 59.5 tons and standard deviation σ_W = sqrt(35)σ = 3.44 tons.

The probability that the maximum safe weight of 67 tons will be exceeded is the same as the probability that W is greater than 67 tons:

P(W > 67) = P((W - μ_W) / σ_W > (67 - μ_W) / σ_W)

= P(Z > (67 - 59.5) / 3.44)

= P(Z > 2.18)

where Z is a standard normal random variable.

Using a standard normal distribution table or calculator, we can find that P(Z > 2.18) = 0.014.

Therefore, the probability that the maximum safe weight of 67 tons will be exceeded when 35 cars are loaded onto the ferry is approximately 0.014 or 1.4%.

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The value of a is zero.

Now, According to the question:

The given equation is:

a + 5 = -5a + 5

To solve the above equation:

Subtract 5 on both sides

a + 5 - 5 = -5a + 5 - 5

a = -5a

Add 5a on both sides:

6a = 0

Divide both sides by 6

a = 0

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The complete question is this:

How do you solve a + 5 = -5a + 5

If a curve passes through the point (0,5) and has the property that the slope of the curve at every point P is twice the y-coordinate of P.  The equation of the curve is  y = 5e^(²x).

Let's assume that the equation of the curve is y = f(x), where f(x) is some unknown function.

We are given that the slope of the curve at every point P is twice the y-coordinate of P. This means that:

f'(x) = 2f(x)

where:

f'(x) is the derivative of f(x) with respect to x.

We can solve this differential equation by separating the variables and integrating:

1/f(x) df/dx = 2

Integrating both sides with respect to x, we get:

ln|f(x)| = 2x + C

where C is a constant of integration.

To find the value of C, we can use the fact that the curve passes through the point (0,5). Substituting x=0 and y=5 into the equation, we get:

ln|f(0)| = C

Since ln|f(0)| is just a constant, we can write it as another constant, say A. Therefore:

ln|f(x)| = 2x + A

Taking the exponential of both sides, we get:

|f(x)| = e^(²x+A)

Since f(x) cannot be negative (otherwise, the slope of the curve would be negative at some points), we can drop the absolute value signs:

f(x) = e^(²x+A)

To find the value of A, we can use the fact that the curve passes through the point (0,5). Substituting x=0 and y=5 into the equation, we get:

f(0) = e^A = 5

Therefore, A = ln(5). Substituting this value into the equation, we get:

f(x) = e^(²x+ln(5)) = 5e^(²x)

So the equation of the curve is y = 5e^(²x).

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The transformation formula P'(x, y) = (x, - 2 · y - 1) transforms triangle ABC into triangle A'B'C'. (Correct choice: B)

In this problem we need to determine the transformation formula to transform of a triangle ABC onto triangle A'B'C'. First, write the coordinates of points A, B and C:

A(x, y) = (2, 0), B(x, y) = (3, 2), C(x, y) = (4, 0)

Second, write the coordinates of the images:

A'(x, y) = (2, - 1), B'(x, y) = (3, - 5), C'(x, y) = (4, - 1)

Third, check any of the transformations formulas given:

P'(x, y) = (x, - 2 · y - 1)

A'(x, y) = (2, - 2 · 0 - 1)

A'(x, y) = (2, 0)

B'(x, y) = (3, - 2 · 2 - 1)

B'(x, y) = (3, - 5)

C'(x, y) = (4, - 2 · 0 - 1)

C'(x, y) = (4, - 1)

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Answer:

-4

Step-by-step explanation:

y=3x13

2x=y-9

2x=3x+13-9

2x=3x+13-9

2x=3x+4

-3  -3

-x=4

-x/ -x/

x=-4

(You said "3x13" so i'm going to guess you meant to say "3x+13").

(If you meant "3x-13" I can also help you with that too)!

Answer:

\(\frac{100}{w}\)

Step-by-step explanation:

When it asks for the quotient you are dividing/ putting it in a fraction.

Complete question :

Water is pumped out of a 500-gallon tank at a rate of 2.5 gallons per second. The inequality 500−2.5t<100 can be used to determine the time t in seconds, after which there will be less than 100 gallons of water remaining in the tank.

Answer:

t < 160

Step-by-step explanation:

Given the inequality :

500−2.5t<100

-2.5t < 100 - 500

-2.5t < - 400

Divide both sides by 2.5

2.5t /2.5 < 400 / 2.5

t < 160

The time in seconds it takes to for there to be less than 100 gallons of water is 160s

The values of the t statistic that are statistically significant at the α=0.005 level are t < -2.977 or t > 2.977.

To determine the values of the t statistic that are statistically significant at the α=0.005 level, we need to find the critical values of the t-distribution with 14 degrees of freedom (df = n - 1 = 15 - 1 = 14).

Using a t-table or a calculator, we can find that the critical values for a two-tailed test with α=0.005 are -2.977 and 2.977. This means that any t statistic less than -2.977 or greater than 2.977 would be considered statistically significant at the α=0.005 level.

In other words, if the calculated t statistic falls within the range of -2.977 to 2.977, we would fail to reject the null hypothesis (H0: μ=10) and conclude that there is not enough evidence to suggest that the population mean is different from 10. However, if the calculated t statistic falls outside of this range, we would reject the null hypothesis and conclude that there is evidence to suggest that the population mean is different from 10.

So, the values of the t statistic that are statistically significant at the α=0.005 level are t < -2.977 or t > 2.977.

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Answer:

Radius: 18

Area of Circle: 1017 or 1018(depends on whether you used the pi function or 3.14)

Step-by-step explanation:

Formula for the circumference and area:

C= 2πr

A= πr^2

Answer:

radius is 17.99 area is 1016.75

Step-by-step explanation:

for the radius i used the formula C=2 x 3.14 x Radius

i used the formula of A= 3.14 x radius squared

It illustrates a line equation in the XY plane whose equation is represented by x=y when x and y really aren't negative.

Using the equal symbol (=) to indicate equivalence, a mathematical equation is a formula that joins two statements. An equation in algebra is a statement of mathematics proving the equality of two mathematical equations. In the formula 3x + 5 = 14, for example, the equal sign places the variables 3x + 5 & 14 apart. The relationship between two words on either side of such a letter is described by a mathematical formula. A single variable, which also serves as the symbol, is frequently present. like in 2x - 4 Equals 2, for instance.

The line passing thru the origins and having an equal tangent is known as an equation of the form =. A line's equation is, in general, an equation with the formula = °.

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Step-by-step explanation:

Term: Each expression is made up of terms. A term can be a signed number, a variable, or a constant multiplied by a variable or variables.

Factor: Something which is multiplied by something else. A factor can be a number, variable, term, or a longer expression. For example, the expression 7x(y+3)7x(y+3) has three factors: 77 , xx , and (y+3)(y+3) .

Coefficient: The numerical factor of a multiplication expression that contains a variable. Consider the expression in the figure above, 2x+4y−92x+4y−9 . In the first term, 2x2x , the coefficient is 22 : in the second term, 4y4y , the coefficient is 44 .

Constant: A number that cannot change its value. In the expression 2x+4y−92x+4y−9 , the term 99 is a constant.

Like Terms: Terms that contain the same variables such as 2m2m , 6m6m or 3xy3xy and 7xy7xy . If an expression has more than one constant terms, those are also like terms.

The simplification of the the given expression  2/1 - 5/2 : 15/4 is  1/2 : 15/4

Usually, simplification involves proceeding with the pending operations in the expression. Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form. Simplification usually involves making the expression simple and easy to use later.

We have been given the number expression that is; \(\dfrac{2}{1} - \dfrac{5}{2} :\dfrac{15}{4}\)

Taking LCM on Left sides by 2:

\(\dfrac{2}{1} - \dfrac{5}{2} :\dfrac{15}{4}\\\\\dfrac{2\times 2}{2} - \dfrac{5}{2} :\dfrac{15}{4}\\\\\\\dfrac{4}{2} - \dfrac{5}{2} :\dfrac{15}{4}\)

Now solve the LCM part;

\(\dfrac{4 - 5}{2} :\dfrac{15}{4}\\\\\\\dfrac{-1}{2} :\dfrac{15}{4}\)

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The complete question is

Simplify the given expression  \(\dfrac{2}{1} - \dfrac{5}{2} :\dfrac{15}{4}\).

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

The patio is a rectangle

Step-by-step explanation:

Since it is given that we have 2 pairs of two parallel sides, which implies 4 sides, this thus shows that the shape is a quadrilateral since, only quadrilaterals have 4 sides. Also, 2 pairs of sides are the same length, and are parallel, it shows that the shape is likely a rectangle.

Finally, there are 4 square corners on the shape which implies 4 right angles. This confirms that our shape is a rectangle since only a rectangle has 2 pairs of two parallel sides and 2 pairs of sides that are the same length there are 4 square corners.

So, the patio is a rectangle.

Answer: 24

Step-by-step explanation:

area of a triangle formula is 1/2bh.

6 is the base & 8 is the height.

1/2(6)(8) = 24

Answer:

24

Step-by-step explanation:

The total possible number of points the team could score to earn pizzas is 700, using the inequality |x - 750| ≤ 50

What is inequality?

Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare two values. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign in between. Sometimes it can be about a "not equal to" relationship, where one thing is more than the other or less than. In mathematics, an inequality is a relationship that results in a non-equal comparison between two numbers or other mathematical expressions.

Based on the given conditions, formulate: 750 -50

Calculate the sum or difference will be 700

Hence, the inequality possible number of points the team could score to earn pizzas is 700

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