If angle 2 = 6x + 5 and angle 4 = 4x + 14, what is the value of angle 2? Round your answer to the hundredths place.

Answer:

321.50 dollars.

Step-by-step explanation:

Dena is buying wallpaper. It costs $8.79 per meter. She needs 120 feet. How much will the wallpaper cost? Round to the nearest half dollar.

This is a tricky math problem that requires some conversions and calculations. First, we need to convert feet to meters, because Dena lives in a country that uses the metric system. According to the search results   , one foot is equal to 0.3048 meters. So, 120 feet is equal to 120 x 0.3048 = 36.576 meters.

Next, we need to multiply the length of the wallpaper by the price per meter to get the total cost. The total cost is 36.576 x 8.79 = $321.38.

Finally, we need to round the total cost to the nearest half dollar. This means we need to look at the cents part of the cost and see if it is closer to 0, 50 or 100. In this case, 38 cents is closer to 50 than to 0 or 100, so we round up the cost to $321.50.

Therefore, Dena will have to pay $321.50 for the wallpaper. That's a lot of money for some paper that will probably peel off in a few years! Maybe she should consider painting her walls instead.

Answer:

B) 194.7 m

Step-by-step explanation:

You use the radius value in the formula 2(pi)r.

2(pi)31 = 194.7

Answer:

See below

Step-by-step explanation:

The volume of the largest right circular cylinder is \(=\frac{4\pi r^3}{3\sqrt{3} }\) cu. unit

Now, According to the question:

The given sphere is of radius R.

Let h be the height and r be the radius of the cylinder inscribed in the sphere.

We know that:

Volume of cylinder

V = \(\pi R^2h\)    .....(1)

In right Triangle OBA

\(AB^2 + OB^2 = OA^2\)

\(R^2 + \frac{h^2}{4} = r^2\)

So, \(R^2 = r^2 - \frac{h^2}{4}\)

Putting the value of \(R^2\) in equation (1), We get

V = \(\pi (r^2 - \frac{h^2}{4} )h\)

V = \(\pi (r^2h - \frac{h^3}{4} )\)   ....(2)

dV/dh = \(\pi (r^2 - \frac{3h^2}{4} )\) .....(3)

For, Stationary point, dV/dh = 0

\(\pi (r^2 - \frac{3h^2}{4} )\) = 0

\((r^2 - \frac{3h}{4} )\)   => \(h^2 - \frac{4r^2}{3}\) => \(h - \frac{2r}{\sqrt{3} }\)

Now, \(\frac{d^2V}{dh^2} = \pi (-\frac{6}{4}h )\)

\([\frac{d^2V}{dh^2}]_a_t_h_=_\frac{2r}{\sqrt{3} }\)   = x[-3/2 , \(2r/\sqrt{3}\)]< 0

Volume is maximum at h = 2r/\(\sqrt{3}\)

Maximum volume is :

\(= \pi (r^2.\frac{2r}{\sqrt{3} }- \frac{1}{4}.\frac{8r^3}{3\sqrt{3} } )\)

\(=\pi (\frac{2r^3}{\sqrt{3} }-\frac{2r^3}{3\sqrt{3} } )\)

\(=\pi (\frac{6r^3-2r^3}{3\sqrt{3} } )\)

\(=\frac{4\pi r^3}{3\sqrt{3} }\) cu. unit

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Answer:

y = 25

Step-by-step explanation:

Hey There!

The angle labeled x is supplementary to the angle that is equal to 115 meaning that the sum of the two angles will add up to equal 180

so to find x we subtract 115 from 180

180-115=65 so x = 65

Now we can find y

remember the sum of the triangles angles add up to equal 180

so we subtract the given angles(90 and 65) from 180

180-90-65=25

so y = 25

By placing the given value in equation , we get u + v - 4u = (-20, 13)

A physical quantity that has both directions and magnitude is referred to as a vector quantity.

A lowercase letter with a "hat" circumflex, such as "û," is used to denote a vector with a magnitude equal to one. This type of vector is known as a unit vector.

To evaluate u + v - 4u, we first need to find the vector 4u, which is obtained by multiplying the vector u by the scalar 4:

4u = 4(5,-2) = (20,-8)

Now, we can add u and v, and subtract 4u from the result:

u + v - 4u = (5,-2) + (-5,7) - (20,-8)

= (5 - 5 - 20, -2 + 7 + 8)

= (-20, 13)

Therefore, u + v - 4u = (-20, 13).

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because 2^28 = 268,435,456

Answer:

Andrew is incorrect.

Step-by-step explanation:

He is incorrect because instead of multiplying 2 x 28, he should have did 2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2, which is 268,435,456.

I tm pretty sure this is correct, please comment if it is right or wrong

Answer:

9/41

Step-by-step explanation:

Draw a right triangle in quadrant 2 and label your opposite (40) and hypotenuse (41) sides then use the pythagorean theorem to find the missing side (the adjacent side)  which is equal to 9. Then since cosine is adjacent/hypotenuse and you get 9/41.

Answer: m=1/3

Step-by-step explanation:

you have to go one up and three over from the y intercept for the line to be directly matching with the graph

(Brainly pls?)

Answer: 253

Step-by-step explanation:

First, we have two numbers A and B.

We know that all numbers can be written as a product of prime numbers.

And the HCF of A and B is 23

Then we can write:

A = 23*a

B = 23*b

(remember that 23 is a prime number)

Where a and b are larger than 1.

Now we know that the least common multiple between them is 644.

Notice that the primes that conform a can not be the same as the ones for b, because in that case, the HCF would not be 23.

Now to find a and b we can compute:

644/23 = 28.

28 = a*b

Now let's write 28 as a product of prime numbers:

a*b = 28 = 4*7 = 2*2*7

Then we can define:

a = 2*2

b = 7.

Our two numbers are:

A = 23*2*2 = 92

B = 23*7 = 161

A + B = 92 + 161 = 253

The sum of the two numbers would be:

253

Assume the two numbers be \(x\) and \(y\)

Given that,

HCF of \(x\) and \(y\) = 23

so,

The numbers could be written as:

23\(x\) and 23\(y\)

We know that,

LCM of 23\(x\) and 23\(y\) = 644

We also know that,

LCM × HCF = The product of two numbers

∵ 644 × 23 = 23\(x\) × 23\(y\)

So, by solving them we get;

14812/529 = \(x\) × \(y\)

∵ \(x\) × \(y\) = 28

If we prime factorize 28, we get

28 = 2 × 2 × 7

This gives us,

\(x =\)23 × 2 × 2 = 92

\(y =\) 23 × 7 = 161

Thus, the sum of the two numbers = 92 + 161 = 253

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Answer:

C

Step-by-step explanation:

None of the others have the correct data like C

Answer:

The third one 54

Step-by-step explanation:

I hope it helps.

9514 1404 393

Answer:

  j-k = 13/6

Step-by-step explanation:

The quadratic formula tells you the two solutions are ...

  x = (-b/(2a)) ±√(b² -4ac)/(2a)

The difference between these solutions is ...

  j-k = √(b² -4ac)/a

  j-k = √((-7)² -4(6)(-5))/6 = √(49 +120)/6 = √169/6

  j-k = 13/6

Answer:

Step-by-step explanation:

40k

Answer:

(8,-43)

(4,-22)

Step-by-step explanation:

In order for the ordered pair to be a solution of the inequality, you must be able to plug in the y-value of the ordered pair and it must be less than or equal to 0.

For example:

(4,-22)

x=4 ; y=-22

Plug y into the inequality

y≤0

-22≤0

Since the statement is true, I know that (4,-22) must be a solution to the inequality.

Another way to solve this problem is by graphing. If an ordered pair is in the shaded region, it is a solution to the inequality. Attached is a graph of both the inequality and ordered pairs plotted.

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Answer:

Step-by-step explanation:

To determine whether each ordered pair is a solution to the inequality y ≤ 0, we need to check if the y-coordinate of each pair is less than or equal to zero.

Let's check each ordered pair:

(8, -43):

The y-coordinate is -43. Since -43 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(4, -22):

The y-coordinate is -22. Since -22 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(-3, 25):

The y-coordinate is 25. Since 25 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

(-7, 45):

The y-coordinate is 45. Since 45 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

So, the solutions to the inequality y ≤ 0 are:

(8, -43) and (4, -22).

\( \Large{\boxed{\sf Height = 58 \: m}} \)

\( \\ \)

The volume of a cylinder can be calculated using the following formula:

\( \Large{\sf V = B \times h} \)

Where:

\( \\ \)

Since we are not given the area of its base, which is a circle, we will have to calculate it applying the following formula:

\( \Large{\sf B = \pi \times r^2} \)

Where:

\( \\ \)

Combining these two formulas, we can express the volume of the cylinder as follows:

\( \Large{\sf V = \underbrace{\sf \pi \times r^2}_{B} \times h} \)

\( \\ \)

Now, rearrange the formula to isolate the height, h.

\( \sf V = \pi \times r^2 \times h \Longleftrightarrow \dfrac{V}{\pi \times \times r^2} = \dfrac{ \pi \times r^2 \times h}{\pi \times r^2 } \Longleftrightarrow h = \dfrac{V}{\pi \times r^2} \)

\( \\ \)

\( \Large{\boxed{\sf Given \text{:} } \begin{cases} \sf V &=\sf 492,452.48 \: m^3 \\ \sf r &=\sf 52 \: m \: \\ \sf \pi &= \sf 3.14 \: (approximately) \end{cases} } \)

\( \\ \)

Substitute these values into our formula:

\( \sf h = \dfrac{492,452.48 \: m^3}{(52 \: m)^2 \times 3.14 } = \dfrac{492,452.48 \: m^3}{8,490.56\: m^2 } \\ \\ \\ \\ \implies \boxed{\boxed{\sf h = 58 \: m}} \)

Distance from A to B = 3 - (-4) = 7

Answer: 10 I think

Step-by-step explanation:

9+1 I guess

Answer:

:Correct answer is 18.3

:Dollar replacement 70

Answer:

c

Step-by-step explanation:

Answer: 33.5

Step-by-step explanation:

the answer is: 58.95

i took the test

When a test is two-sided and one-sided: We will reject the null hypothesis at the = X 0.01 0.050. 10 significance level if the value of interest falls outside a 95% confidence interval. If the value of interest falls outside a 99% confidence interval, the null hypothesis will be rejected at the = 0.010.

A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. A confidence interval is calculated at a specified confidence level; the 95% confidence level is most commonly used, but other levels, such as 90% or 99%, are occasionally used. The confidence interval is the range of values within which you expect your estimate to fall a certain percentage of the time if you repeat your experiment or re-sample the population in the same manner.

Here,

When a test is two-sided and one-sided: If the value of interest falls outside a 95% confidence interval, we will reject the null hypothesis at the = X 0.01 0.050. 10 significance level. The null hypothesis will be rejected at = 0.010 if the value of interest falls outside a 99% confidence interval.

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Answer:

two sided.

.05

.01

Step-by-step explanation:

Answer:

Please help me important question in image

Step-by-step explanation:Please help me important question in image

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Please help me important question in image

Please help me important question in image

Answer:

The equation a=0.003x^2+21.3 models the average ages of women when they first married since the year 1940 in the United States. In this equation, a represents the average age and x represents the years since 1940. To estimate the year in which the average age of brides was the youngest, we need to find the minimum value of the quadratic function a=0.003x^2+21.3. This can be done by using the formula x=-b/2a, where b is the coefficient of x and a is the coefficient of x^2. In this case, b=0 and a=0.003, so x=-0/(2*0.003)=0. This means that the average age of brides was the lowest when x=0, which corresponds to the year 1940. The value of a when x=0 is a=0.003*0^2+21.3=21.3, so the average age of brides in 1940 was 21.3 years old. This is consistent with the historical data, which shows that the median age of women at their first wedding in 1940 was 21.5 years old. The average age of brides has been increasing since then, reaching 28.6 years old in 2021.

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A percentage is a way to describe a part of a whole. The amount paid by Marta for the cookbook is $7.80.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

As it is given that the original price of the cookbook was $13, Marta bought it for 40% off. Therefore, Marta only paid 60% of the original cost,

\(\text{Amount paid by Marta} = \text{60\% of the original cost}\\\\\text{Amount paid by Marta} = \dfrac{60}{100} \times \$13\\\\\text{Amount paid by Marta} = \$7.8\)

Thus, the amount paid by Marta for the cookbook is $7.80.

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Answer: 15cm squared

Step-by-step explanation:

Find the area of the rectangle:

Formula: length x width

So 6 x 4 which is 24

Then, find the square:

Formula: side x side

So 3 x 3 which is 9

Finally subtract the two areas to find the remaining sheet of paper

24 - 9 = 15

Answer:

the remaining sheet of paper is 3cm long and 1 cm wide

Step-by-step explanation:

the length of rectangular sheet is 6cm and when you cut 3 cm from it it remains 3 cm

the breadth of rectangular sheet is 4 cm and when you cut 3 cm from it 1 cm is left.

Answer:

x at 1

Step-by-step explanation:

There is a corner at 1 making the function not differentiable

Given statement solution is :- It takes approximately 1.122 seconds for the ball to reach its maximum height.

To find the time it takes for the ball to reach its maximum height, we need to determine the vertex of the parabolic function given by the equation h(t) = \(-4.9t^2 + 11t + 7.\)

The vertex of a parabola in the form y = \(ax^2 + bx\) + c is given by the formula t = -b / (2a).

Comparing the equation h(t) = \(-4.9t^2 + 11t + 7\) to the standard form, we have:

a = -4.9

b = 11

Using the formula for the vertex, we can calculate the time it takes to reach the maximum height:

t = -11 / (2 * -4.9)

t = -11 / -9.8

t ≈ 1.122

Therefore, it takes approximately 1.122 seconds for the ball to reach its maximum height.

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Answer:

the answer is... a

Step-by-step explanation:

Answer:

ten may be if it is incorrect forgive me

Divide total distance of the race by the length each runner runs:

8 miles / 4/5

When dividing by a fraction flip the fraction over and multiply:

8 miles x 5/4 = (8x5)/4 = 40/4 = 10

There are 10 runners

Answer:

10 runners

Step-by-step explanation:

Is 8 Miles which equals to 40/5 miles. 40/5 miles divided by 4/5 = 10 so 10 runners.