Answer these 4 questions for brainliest! :)

For questions 1 - 4, simplify the variable expression as much as possible.

1. x + 4 - 3 + 1
2. x - 5 + 5x + 2
3. 2x + 7 - 4x - 8
4. (4 + 3)x + 2x - 5

thank you for your help and have a blessed day!

It should be 33.49 sorry if I’m a little off!

Answer: Alex has $77 more than Amy

Explanation:

Draw a vertical number line. Plot -28 and 45 on this number line. Also, plot the number 0. Note the distance from -28 to 0 is 28 units. Then from 0 to 45 is another 45 units.

Overall, the distance is 28+45 = 77 units. This is the distance between the points -28 and 45 on the number line. It indicates Alex has $77 more compared to Amy. Effectively, Amy has $0 right now, but she's in debt $28. If we ignored the debt temporarily, then Alex has $45 more compared to Amy's balance of $0. Then we tack on the debt of 28 to bump to $77.

Another way to see this is to consider that Amy somehow gets $28. That 28 dollars is then immediately paid back to bring the balance back to $0. Then we'll tack on the $45 to get to 45+28 = 77.

The total surface area of the solid object is 2660.925 square cm the answer is 2660.925 square cm.

In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.

We know the volume of the cylinder is given by:

\(\rm V = \pi r^2 h\)

The surface area of the

= surface area of half sphere + surface area of the cylinder - surface area

  of one circular base

The radius r = (64-50)/2 = 7 cm

= (1/2)[4π(7)²] + 2π(7)(50) + 2π(7)² - π(7)²

= (1/2)[615.75] + 2506.99 - 153.94

= 307.875 + 2506.99 - 153.94

= 2660.925 square cm

Thus, the total surface area of the solid object is 2660.925 square cm the answer is 2660.925 square cm.

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Answer:

I don't think it can, because the two smaller sides cannot have a sum of less than the third side. 6+6=12, and 12 is less than 15, so it cannot be possible. You can even test this out on a piece of paper and you will see that it is not possible.

Answer:yes

Step-by-step explanation:

because 6,6 can be /\ and 15 is __ so it would be /_\....it would be a triangle

Katya initially had 192 pennies, and Mimi initially had 288 pennies. Therefore, together Katya and Mimi lost 96 + 192 = 288 pennies.

Let's assume Katya initially had "k" pennies, and Mimi initially had "m" pennies. According to the given information, we have the following equations:

k + m = 480 (Together, they have 480 pennies)

k - (1/2)k = m - (2/3)m (After losing pennies, they have an equal amount left)

Simplifying equation (2), we have:

1/2 * k = 1/3 * m

To make the equation easier to work with, let's multiply both sides by 6 to eliminate the fractions:

6 * (1/2 * k) = 6 * (1/3 * m)

3k = 2m

Now we have a system of equations:

k + m = 480

3k = 2m

Rearranging equation (2), we get:

m = (3/2)k

Substituting this value of "m" into equation (1):

k + (3/2)k = 480

(5/2)k = 480

k = (480 * 2) / 5

k = 192

Substituting the value of "k" back into equation (1):

192 + m = 480

m = 480 - 192

m = 288

So, Katya initially had 192 pennies, and Mimi initially had 288 pennies.

To calculate the number of pennies they lost altogether, we need to find the difference between their initial amounts and their final amounts.

Katya lost (1/2) * 192 = 96 pennies.

Mimi lost (2/3) * 288 = 192 pennies.

Therefore, together Katya and Mimi lost 96 + 192 = 288 pennies.

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Answer:

x = \(\frac{5}{2}\)

Step-by-step explanation:

Given

4x - \(\frac{1}{2}\) = x + 7

Multiply through by 2 to clear the fraction

8x - 1 = 2x + 14 ( subtract 2x from both sides )

6x - 1 = 14 ( add 1 to both sides )

6x = 15 ( divide both sides by 6 )

x = \(\frac{15}{6}\) = \(\frac{5}{2}\)

Step-by-step explanation:

I know it not all but this is what I have

Answer: In the upper triangle  x = 33° and in the lower triangle x = 128°

Step-by-step explanation:

Upper triangle:

x = (180° - 114°) ÷ 2 = 33°

Lower triangle:

x = 180° - 26° × 2 = 128°

The volume of water filled in the bath tub is 6 feet × 2 feet × 2.2 feet = 26.4 cubic feet. You need 11.83 minutes in the shower to use as much water as the bath.

The volume of water filled in the bath tub is 6 feet × 2 feet × 2.2 feet = 26.4 cubic feet.

The amount of water used in shower = flow rate × time = 2.23 gallons/minute × 8 minutes = 17.84 gallons

Let's convert gallons to cubic feet: 1 cubic foot = 7.5 gallons

17.84 gallons = 17.84/7.5 cubic feet = 2.378 cubic feet

The volume of water used in the shower is 2.378 cubic feet. The volume of water used for taking a bath is 26.4 cubic feet.

To calculate how many minutes one would need in the shower to use as much water as the bath, divide the volume of water used in taking a bath with the amount of water used per minute in the shower as shown:

26.4/2.23=11.83 min

Therefore, one needs 11.83 minutes in the shower to use as much water as the bath.

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mode is 5 and 2 because 2 and 5 occurs more times than other number

Mode: The most frequent number—that is, the number that occurs the highest number of times. Example: The mode of {4 , 2, 4, 3, 2, 2} is 2 because it occurs three times, which is more than any other number.

The total outcomes = 7

This is because the cube was rolled 7 times

The value recorded are

2, 1

4, 5

3, 2

2,2

1,3

6,2

5,3

From all the outcomes, the only possible out comes that shows that the sum of two numbers is more than 5 are

4, 5

6, 2,

5,3

Probability = possible outcomes / total outcomes

Possible outcomes = 3

Total outcomes = 7

Probability = 3/7

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Answer:

2x + 8y = 60= 30

5x + 4y = –10= -2

Step-by-step explanation:

Simplifying

2x + -8y = 60

Solving

2x + -8y = 60

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '8y' to each side of the equation.

2x + -8y + 8y = 60 + 8y

Combine like terms: -8y + 8y = 0

2x + 0 = 60 + 8y

2x = 60 + 8y

Divide each side by '2'.

x = 30 + 4y

Simplifying

x = 30 + 4y

Answer:

-------------------

An inverse variation is:

Substitute x = 3 and y = 2 to find the value of k:

So, the constant of variation is 6.

in 1998, the university of Wisconsin collected data on means of transportation to work. in 2008, Betsy (a university of Minnesota student) used the data for her own project. betsy is using Secondary analysis collection method.

Secondary data is information gathered by someone other than the original user. It signifies that the data is already accessible and has been analyzed. Magazines, newspapers, books, and journals are examples of secondary data. It might be published or unpublished data.

Secondary analysis is the use of existing data acquired for the purposes of a previous study to pursue a research interest that is unique from the original work; this might be a new research topic or an alternate viewpoint on the original subject.

Secondary research methods commonly used include data acquisition via the internet, libraries, archives, schools, and organizational reports.

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Answer:

(x + 2)^2 + (y - 6.5)^2 = 25.25

Step-by-step explanation:

We can the equation of the circle in standard form, whose general equation is:

\((x-h)^2+(y-k)^2=r^2\), where

Step 1:  We know that the diameter is simply 2 * the radius.  Thus, we can find the radius by first finding the length of the diameter.  To do this, we'll need the distance formula, which is:

\(d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\), where

We can allow (-7, 7) to be our (x1, y1) and (3, 6) to be our (x2, y2) point and plug these into the formula to find d, the distance between the points and the length of the diameter:

\(d=\sqrt{(3-(-7))^2+(6-7)^2} \\d=\sqrt{(3+7)^2+(-1)^2}\\ d=\sqrt{(10)^2+1}\\ d=\sqrt{100+1}\\ d=\sqrt{101}\)

Now we can multiply our diameter by 1/2 to find the length of the radius:

r = 1/2√101

Step 2:  We know that the center lies at the middle of the circle and therefore represents the midpoint of the diameter.  The midpoint formula is

\(m=(\frac{x_{1}+x_{2} }{2}),(\frac{y_{1}+y_{2} }{2})\), where

We can allow (-7, 7) to be our (x1, y1) point and (3, 6) to be our (x2, y2) point:

\(m=(\frac{-7+3}{2}),(\frac{7+6}{2})\\ m=(\frac{-4}{2}),(\frac{13}{2})\\ m=(-2,6.5)\)

Thus, the coordinate for the center are (-2, 6.5).

Step 3:  Now, we can create the equation of the circle and simplify:

(x - (-2)^2 + (y - 6.5)^2 = (1/2√101)^2

(x + 2)^2 + (y - 6.5)^2 = 25.25

\(Answer: the\ number\ is\ \boxed{-26}\)

Step-by-step explanation:

\(2(n-4)=3(n+6)\\2(n)-2(4)=3(n)+3(6)\\2n-8=3n+18\\2n-8-18=3n+18-18\\2n-26=3n\\2n-26-2n=3n-2n\\-26=n\\Thus,\\n=-26\)

The number of burger sam bought = x

Let the number of burgers for mike be = y

the equation for the total number of burgers will be

Mike brought 5 more than 2 times as many burgers as sam will be represented as

By substituting Eqn 2 in Eqn 1 we will have

Therefore,

The value of x= 15

To calculate the number of burgers mike brought to the BBQ =y,

We will substitute the value of x in (Eqn 1) above

The coordinate of the point F' after dilation will be (1, -1). Then the correct option is D.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.

The coordinate of point F is (2, -2). And the scale factor is 1/2. Then the coordinate of the point F' after dilation will be calculated as,

⇒ (1/2) × (2, -2)

⇒ (1/2 × 2, 1/2 × -2)

⇒ (1, -1)

The coordinate of the point F' after dilation will be (1, -1). Then the correct option is D.

The graph is given below.

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The volume of the solid bounded above by the plane z = y + 7, below by the xy-plane, and on the sides by the circular cylinder x^2 + y^2 = 49 is 49π^2 cubic units.

To find the volume of the solid bounded above by the plane z = y + 7, below by the xy-plane, and on the sides by the circular cylinder x^2 + y^2 = 49, we can use triple integration.

V = ∫∫∫ dV,

where the limits of integration are:

0 ≤ ρ ≤ 7 (the radius of the cylinder),

0 ≤ θ ≤ 2π (the angle of rotation around the z-axis),

0 ≤ z ≤ ρsinθ + 7 (the upper bound defined by the plane z = y + 7).

Now, let's write the volume integral using cylindrical coordinates:

V = ∫∫∫ ρ dz dθ dρ.

Integrating with respect to z, we have:

V = ∫∫ [(ρsinθ + 7) - 0] dθ dρ

= ∫∫ (ρsinθ + 7) dθ dρ.

Integrating with respect to θ, we have:

V = ∫ [∫ [(ρsinθ + 7)] dθ] dρ

= ∫ [(ρ(-cosθ) + 7θ)] dρ

= ∫ [-ρcosθ + 7θ] dρ.

Now, integrating with respect to ρ, we have:

V = [∫ [-ρcosθ + 7θ] dρ] (from 0 to 7)

= [-ρ^2/2cosθ + 7θρ] (from 0 to 7).

Now, substitute the limits of integration and simplify further:

V = [-7^2/2cosθ + 7θ(7)] - [0^2/2cosθ + 7θ(0)]

= [-49/2cosθ + 49θ] - [0]

= -49/2cosθ + 49θ.

To find the total volume, we need to integrate over the range of θ. Since the circular cylinder x^2 + y^2 = 49 is symmetric about the z-axis, the volume is the same for each complete revolution around the z-axis. Thus, the range of integration for θ is from 0 to 2π.

Finally, we can write the integral expression for the volume:

V = ∫ [0, 2π] (-49/2cosθ + 49θ) dθ.

Integrating term by term, we have:

V = [-49/2sinθ + 49θ^2/2] evaluated from 0 to 2π.

Now, substitute the limits of integration and simplify further:

V = [-49/2sin(2π) + 49(2π)^2/2] - [-49/2sin(0) + 49(0)^2/2]

= [-49/2(0) + 49(4π^2)/2] - [0 + 0]

= 49π^2.

Therefore, the volume of the solid bounded above by the plane z = y + 7, below by the xy-plane, and on the sides by the circular cylinder x^2 + y^2 = 49 is 49π^2 cubic units.

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Answer:

y=7miles

Step-by-step explanation:

The total perimeter is 21 miles and we know two sides of the triangle are 7 miles, or 14 miles together.

We need to know the one other side of the triangle, so we can subtract the 14 miles we know from the total 21 miles.

21-14=7miles

Answer:

y=7 mi

Step-by-step explanation:

If you know that each side of this triangle is 7 and they are each side is the same length, you can make an educated guess  that the answer is 7. If you need An easier method 7x3=21. a triangle has 3 sides so your answer would be 7

Answer:

Hey there the correct answer to your question will be below.

Step-by-step explanation:

Work: 300/68 x 60 will give you 264.7 which will round to 265*

1/68 x 3,600 will be 52.94 and if you round that you will get 53*

So the answer will be

ABOUT: 265 words per minute

ABOUT: 53 in one hour

EXACT: 264.7 words per minute

EXACT: 52.94 in one hour

Hope this helps!

By: xBrainly

Answer:

Step-by-step explanation:

finding the smallest possible distance from the line to the origin follows as

the normal vector=(-1,-2,1)

using direction vector we need to create the equation of the plane

-1(x-2)-2(y-3)+1(z+7)=0

we get;

-x+2-2y+6+z+7=0

-x-2y+z+13=0

x=2-t; y=2-3t; z=-7+t

on substituting;

-1(2-t)-2(3-2t)+1(-7+t)+13=0

-2+t-6+4t-7+t+13=0

we get;

t=1

so point is(1,1,-6)

distance from point to origin

d=\(\sqrt{(1^2+1^2+(-6)^2)}\)=\(\sqrt{38}\)

therefore

the answer is \(\sqrt{38}\)=6.16

Given that v0 = (2, 1, -2), v1 = (-2, 1, 1), and v2 = (1, 2, 2), we can find the orthonormal basis that should be parallel to v0, and w0 and w1 should span the same subspace as v0 and v1.To find the orthonormal basis that should be parallel to v0.

we need to follow these steps:

Let v0 be a vector in Rn with nonzero norm ||v0||, and let V be the subspace of Rn that is perpendicular to v0 (so if y is in V, then y·v0 = 0).

Then, we can construct an orthonormal basis {v1, . . . , vp} for V, and {v0/v0, v1, . . . , vp} will be an orthonormal basis for Rn.

To find {v1, . . . , vp}, we apply Gram-Schmidt to the basis {v0, v1, . . . , vp}.

Specifically, we compute vi' = vi - projv0vi for i = 1, . . . , p.

This ensures that {v1, . . . , vp} are all in V and that {v0/v0, v1, . . . , vp} is an orthonormal basis for Rn that is parallel to v0.

So, in this case, we can take v0 = (2, 1, -2), which has norm ||v0|| = sqrt(2^2 + 1^2 + (-2)^2) = sqrt(9) = 3.

Now, we need to find w0 and w1 that span the same subspace as v0 and v1. Since {v0, v1} is a basis for this subspace, any two linearly independent vectors in this subspace will span the same subspace. So, we can just pick any two such vectors. Let w0 = (2, 1, -2) and w1 = (-2, 5, 1).

We claim that {w0, w1} is linearly independent and spans the same subspace as {v0, v1}.To show that {w0, w1} is linearly independent, suppose that aw0 + bw1 = 0 for some scalars a and b. Then, we have(2a - 2b, a + 5b, -2a + b) = (0, 0, 0).This gives us two equations:2a - 2b = 0a + 5b = 0

Solving for a and b, we geta = 5/7 and b = -2/7.

Since a and b are not both zero, this shows that {w0, w1} is linearly independent.

To show that {w0, w1} spans the same subspace as {v0, v1}, we need to show that every vector in this subspace can be written as a linear combination of w0 and w1. Let (x, y, z) be any vector in this subspace.

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Answer:

yes I also like one direction ❣️

I like all the members of one direction..

because they were the element of the band... ..

Answer: 5

Step-by-step explanation:

The amount of extra money that you need to raise is: $50

The revenue function, R(x), is the total revenue realized from the sale of x units of the product. The profit function, P(x), is the total profit realized from the manufacturing and sale of the x units of product.

Thus:

Cost = 3 * 75 = $225

Revenue = 175 + 2x

where x is the numbers of tickets sold for $2.

Thus:

Profit = R - C

175 + 2x - 225 = 0

2x = 225 - 175

2x = 50

x = 25

Money needed to break even: 2 * 25 = $50.00

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Complete question is:

You want to hire a live band for a school dance. You have $175 in your budget. The live band charges $75 per hour and each student pays $2 admission. If the band is to play for 3 hours, how much extra money do you need to raise?

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Given a = 3 + 2j and b = 3 - 4j, where j = Squareroot -1, we can calculate the following:

i. a + b = (3 + 2j) + (3 - 4j) = 6 - 2j

ii. a.b = (3 + 2j)(3 - 4j) = 9 - 6j + 6j - 8j2 = 9 + 8j = 9 - 8(-1) = 17

iii. a/b = (3 + 2j)/(3 - 4j) = (3 + 2j)(3 + 4j)/(3 - 4j)(3 + 4j) = (9 + 6j + 12j + 8j2)/25 = (21 + 14j)/25 = 0.84 + 0.56j

We can use the rules of complex numbers to solve these equations. To add or subtract complex numbers, you must add or subtract their real components and imaginary components separately. To multiply complex numbers, you must use the FOIL method and note that j2 = -1. To divide complex numbers, you must multiply both the numerator and denominator by the conjugate of the denominator.

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Answer: its a 18

Step-by-step explanation:

Answer:

the answer is 9 degree's fahrenheit.

Step-by-step explanation:

Answer:

18

Step-by-step explanation: