{x+2y=10
{6y=-3x+30
Help please

Answer: The answer is 341 degress

Step-by-step explanation:

Angles DCB and CBE are alternate interior angles, so they are equal. CBE = 50, DBC = CBE => DBC = 50. DBE = 50 + 50 = 100; DBA = x = 180 - 100. x = 80.

The volume of water in the cone-shaped paper cup is 25.12 cubic centimeters.

To calculate the volume of water in the cone-shaped paper cup, we can use the formula for the volume of a cone:

V = (1/3) * π * r^2 * h

Given:

Height of water (h) = 6 cm

Diameter of the top surface of water (2r) = 4 cm

First, we need to find the radius (r) of the top surface of the water. Since the diameter is given as 4 cm, the radius is half of that:

r = 4 cm / 2 = 2 cm

Now we can substitute the values into the volume formula and calculate the volume of water:

V = (1/3) * 3.14 * (2 cm)^2 * 6 cm

V = (1/3) * 3.14 * 4 cm^2 * 6 cm

V = (1/3) * 3.14 * 24 cm^3

V = 25.12 cm^3.

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where p is the percent of change

now, solve p

the percent is 0.5 we can multiplt with 100 to have the percent number

so, the percent of change is 50%

Answer:

1/3

Step-by-step explanation:

3/5 x 5/9 = 15/45 and when you divide by 15 it equals 1/3

Answer:

1A.  (2, 4)

1B. (2, 4)

2. All three lines would intersect at the point (2, 4).

3. The solution to both of those equations is (2, 4). We know this because we already know they both equal y=2+x. If a=b and a=c, then b=c.

4.

line 1: y = 1 + x

line 2: y = 4x - 2

line 3: 2x + y = 4 or y = -2x +4

Step-by-step explanation:

1A.

y = 2 + x

y = 3x -2

because both equations equal y, set them equal to each other

2 + x = 3x - 2

solve for x by moving x to one side, and constants to the other

2 = 2x - 2 (subtract x from both sides)

4 = 2x (add 2 to both sides)

2 = x (divide both sides by 2)

this gives the x coordinate of 2 (2, y)

solve for y by substituting the x coordinate into one of the original equations

y = 2 + 2

y = 4

this gives the y coordinate, making the complete answer (2, 4)

1B.

y = 2 + x

2x + y = 8

first, solve the second equation for y

2x + y = 8 (subtract the x variable from both sides

y = 8 - 2x (arrange properly)

y = -2x + 8

second, set the now equal equations equal to each other

2 + x = -2x + 8

now, solve for x

2 + 3x = 8 (add the x variable - 2x - to both sides)

3x = 6 (subtract the constant - 2 - from both sides)

x = 2 (divide both sides by the constant connected to x)

this gives the x coordinate of 2 (2, y)

solve for y by substituting the x coordinate into one of the original equations

y = 2 + 2

y = 4

this gives the y coordinate, making the complete answer (2, 4)

sorry it took so long, i do hope this helps, have a lovely day <3

Answer:

8 - 4 x = -(2 x - 17)

Step-by-step explanation:

Solve for x:

-4 (x - 2) = -2 (x - 17/2)

Hint: | Put the fractions in x - 17/2 over a common denominator.

Put each term in x - 17/2 over the common denominator 2: x - 17/2 = (2 x)/2 - 17/2:

-4 (x - 2) = -2(2 x)/2 - 17/2

Hint: | Combine (2 x)/2 - 17/2 into a single fraction.

(2 x)/2 - 17/2 = (2 x - 17)/2:

-4 (x - 2) = -21/2 (2 x - 17)

Hint: | In (-2 (2 x - 17))/2, divide -2 in the numerator by 2 in the denominator.

(-2)/2 = (2 (-1))/2 = -1:

-4 (x - 2) = -1 (2 x - 17)

Hint: | Write the linear polynomial on the left hand side in standard form.

Expand out terms of the left hand side:

Answer: 8 - 4 x = -(2 x - 17)

Answer: x=7

               ab=21

               bc=14

Step-by-step explanation:

ab=3x

bc=2x±7

ac=42

3x±2x±7=42

5x±7=42

5x=42-7

5x=35

to get the value of x you divide 35 by 5x

35÷5x=7

so the value of x is 7

ab=3x

x=7

3x=7×3x

7×3=21

x=7

2x=7×2x

2×7=14

Complete question :

Chuck lives 4/5 of a mile from the post office. He walked 2/3 of the way from home to the post office. How far did Chuck walk? If possible, write the answer in reduced form

Answer:

8/ 15 miles

Step-by-step explanation:

Given that:

Distance from house to post office = 4/5 miles

Distance walked = 2/3 of the distance

Hence, the distance walked can be obtained thus :

2/3 of (4/5)

2/3 * 4/5

8 / 15

Hence, Chucks walked 8 /15 miles

Answer:

1) AD = 9 in

2) DE = 9.25 in

3) ∠EDC = 36°

4) ∠AEB = 108°

5) 11.5 in

Step-by-step explanation:

1) AD = BC = 9in

2) AC = BD (diagonals are equal)

⇒ BD = 14.25

⇒ BE + DE = 14.25

⇒ 5 + DE = 14.25

DE = 9.25

3) Since AB ║CD,

∠ABE = ∠EDC = 36°

4) ∠ABE = ∠BAE = 36°

Also ∠ABE + ∠BAE + ∠AEB = 180 (traingle ABE)

⇒ 36 + 36 + ∠AEB = 180

∠AEB = 108

5) midsegment = (AB + CD)/2

= (8 + 15)/2

11.5

Answer:

k = 4

Step-by-step explanation:

16k = 16(4) = 64 and

64 = 4 × 4 × 4

\(\sqrt[3]{64}\)

= \(\sqrt[3]{4^{3} }\)

= 4

Answer:

1: equivalent

2: not equivalent

3: not equivalent

4: equivalent

5: not equivalent

6: equivalent

7: not equivalent

8: not equivalent

9: equivalent

Step-by-step explanation:

E

NE

NE

E

NE

E

NE

NE

E

This is the short form of equivakent and non equivalent fractions

ok

(a)The area A(t) under the curve y = In z 2 from r 1 tort where f > 1 can be calculated as follows: We need to calculate the integral of y = In z 2, when the range is from 1 to t (t > 1), and the domain is from 0 to infinity.

Let z = x².Then dz/dx = 2x.dx = dz/2x. Limits of integration for z are as follows:

Lower limit = 12 = 1.

Upper limit = t².(∵ When z = t², x = t.)

Therefore, the integral becomes:\(∫(y = In z 2)dr = ∫In (x²)2.dx\)

On integrating, we get: \(A(t) = 2[tIn (t²) - t + 2] - 2[In 2 - 1] = 2[tIn (t²/2) - t + 3].\)

(b)When t → ∞, t² will be very large and can be considered as infinity.

Therefore, we can calculate the limit of A(t) as t → ∞, by substituting t² with infinity.

\(A(t) = 2[tIn (t²/2) - t + 3] = 2[(1/2)In (infinity) - t + 3] = ∞.\)

Therefore, the limit of A(t) as t → ∞ is ∞.(c)The improper integral converges to ∞.

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An equation in slope-intercept form for the line that passes through (9,12) and is parallel to y=4 is y= 4x -24.

What is Parallel lines?

Parallel lines in geometry are coplanar, straight lines that don't cross at any point. In the same three-dimensional space, parallel planes are any planes that never cross. Curves with a predetermined minimum distance between them and no contact or intersection are said to be parallel.

Parallel lines will have the same slope but different y-intercepts  so again we can  use the coordinates to determine the y intercept of the new equation.

So we know that the slope intercept formula is y=mx + b where m is the slope and b is the y-intercept so we will input the x and y coordinates to solve for b.

12 = 4(9) + b

12 = 36 + b

b = -24

The equation will be y= 4x -24.

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Answer:

False. The union of two events A and B has outcomes from event A or event B or both A and B.

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

To find the values of Z, we can start by expressing 2 + i√3 in polar form. Let's denote it as re^(iθ), where r is the modulus and θ is the argument.

Given: 2 + i√3

To find r, we can use the modulus formula:

r = sqrt(a^2 + b^2)

= sqrt(2^2 + (√3)^2)

= sqrt(4 + 3)

= sqrt(7)

To find θ, we can use the argument formula:

θ = arctan(b/a)

= arctan(√3/2)

= π/3

So, we can express 2 + i√3 as sqrt(7)e^(iπ/3).

Now, we can find the values of Z by taking the natural logarithm (ln) of sqrt(7)e^(iπ/3) and adding 2πik, where k is an integer. This is due to the periodicity of the logarithmic function.

ln(sqrt(7)e^(iπ/3)) = ln(sqrt(7)) + i(π/3) + 2πik

Therefore, the values of Z are:

Z = ln(2 + i√3) + 2πik, where k is an integer.

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

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Answer:

For 2 more panes of glass it will cost $5.70.  

Step-by-step explanation:

To find the price of each pane of glass you take the total price/ total panes of glass.  

25.65/ 9 = $2.85.

If he wanted one more pane of glass it would be $2.85 but since you asked for two you multiply by 2 and get $5.70.  Hope this helps!

Answer: x^6+6x^4+8x^2+2

Step-by-step explanation:

Since g comes after f then you will take g's equation and plug it into the f equation so it would turn out to be if you plugged it in

(x^2+2)^3-4(x^2+2)+2 which would equal x^6+6x^4+8x^2+2

Answer:

7.a) 5

7.b) 1/2

8. 1

Step-by-step explanation:

7.

a)

Read the points on the graph (0, 0) and (1, 5).

slope = (5 - 0)/(1 - 0) = 5/1 = 5

b)

read the points on the graph (0, 0) and (4, 2).

slope = (2 - 0)/(4 - 0) = 2/4 = 1/2

8.

Points (1, 4) and (5, 8)

slope = (8 - 4)/(5 - 1) = 4/4 = 1

Answer:

The best estimate for her earnings is $1200

Step-by-step explanation:

Number of time spent babysitting each week = 21 hours = BBS

Number of time spent dog walking each week = 9 hours = DW

She earns $7.50 per hour for dog walking,

She earns $(7.50+1.50) = $9 for baby sitting,

There are 4 1/2 weeks = 9/2 weeks in July,

Now, for each week she earns 21(9) = $189 from baby sitting

and 9(7.5) = $67.5 from dog walking,

So, for the month of July, i.e. 9/2 weeks, she earns,

9/2(189) = $ 850.5 from baby sitting,

and (9/2)(67.5) = $303.75 from dog walking,

In total for the month, she earns,

850.5 + 303.75 = $1154.25

Hence the best estimate for her earnings is $1200

Answer:

60 mice.

Step-by-step explanation:

This equals the area of the rectangle to the left of 10 g.

= 2 * 3

= 6

The total area of all rectangles = 100 so for each small square this = 10 mice so the answer is 60 mice.

Answer:

The given coordinate pairs are (7,-5), (-5, 4), (-8, 0), and (4, -9). We can use the distance formula to find the length of each side of the quadrilateral formed by these points.

The distance between (7,-5) and (-5, 4) is sqrt((7 - (-5))^2 + ((-5) - 4)^2) = sqrt(12^2 + (-9)^2) = 15.

The distance between (-5, 4) and (-8, 0) is sqrt((-5 - (-8))^2 + (4 - 0)^2) = sqrt(3^2 + 4^2) = 5.

The distance between (-8, 0) and (4, -9) is sqrt((-8 - 4)^2 + (0 - (-9))^2) = sqrt((-12)^2 + 9^2) = 15.

The distance between (4, -9) and (7,-5) is sqrt((4 - 7)^2 + ((-9) - (-5))^2) = sqrt((-3)^2 + (-4)^2) = 5.

So the perimeter of the quadrilateral is 15 + 5 + 15 + 5 = 40.

To find the area of the quadrilateral, we can divide it into two triangles by drawing a diagonal. Let’s use the diagonal between points (7,-5) and (-8,0). The length of this diagonal is sqrt((7 - (-8))^2 + ((-5) - 0)^2) = sqrt(15^2 + (-5)^2) = sqrt(225 + 25) = sqrt(250).

Now we can use Heron’s formula to find the area of each triangle. Let’s start with the triangle formed by points (7,-5), (-8,0), and (-5,4).

The semi-perimeter of this triangle is (15 + sqrt(250) + 5)/2. Let’s call this value s.

Using Heron’s formula, the area of this triangle is sqrt(s * (s - 15) * (s - sqrt(250)) * (s - 5)).

Now let’s find the area of the other triangle formed by points (7,-5), (-8,0), and (4,-9).

The semi-perimeter of this triangle is also (15 + sqrt(250) + 5)/2, which we have already called s.

Using Heron’s formula again, the area of this triangle is also sqrt(s * (s - 15) * (s - sqrt(250)) * (s - 5)).

So the total area of the quadrilateral is 2 * sqrt(s * (s - 15) * (s - sqrt(250)) * (s - 5)).

Answer: It could be, just add two dots at the smiley face, BOOM! The function of Facial muscles in humans.

Step-by-step explanation:

Answer: $84

Step-by-step explanation:

Price of  smoke detector in Store A = $17

Price of  smoke detector in Store B =  $24

Total detectors bought = 12

Price of 12 detectors in Store A = $17 x 12 = $204

Price of 12 detectors in Store B =  $24 x 12 = $ 288

Difference = $ 288 -$ 204 = $84

Hence, he will spend $84 less than if he purchased all the smoke detectors at Store B.

Answer:

0.09(60h)

Step-by-step explanation:

The part that represents the tax is 0.09.

This is because, we can rewrite the sum as;

Amount of tax + Total cost for the number of hours

Now, the amount of tax can only be a percentage of the total

We can write 0.09 as 9/100

This can be interpreted as 9% of the total amount

So therefore we can rewrite the amount as;

9% of 60h + 60h

So the part that represents the amount of tax Deborah has to pay is 0.09(60h)

The expression √a²√a² when simplified is (d) a * a

From the question, we have the following parameters that can be used in our computation:

√a²√a²

Express as product expression

So, we have the following representation

√a²√a² = √a² *√a²

Evaluate the exponents

This gives

√a²√a² = a * a

Hence, the expression is (d) a * a

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Complete question

Simplify √a²√a²

Which expression is equivalent to √a²√a²

a².aº

aª.a

a³ a

a a

Answer:

12 hours :)

Step-by-step explanation:

Answer: Debit Supplies Expense $877 and credit Supplies $877

Step-by-step explanation:

From the question, we are informed that a physical count of supplies on hand at the end of may for Masters, inc. showed $1,253 of supplies on hand while the general leger balance before any adjusting is $2,130.

The adjusting entry for office supplies that should be recorded on may 31 will be the difference in the physical count and general ledger balance which is ($2130 - $1253) = $877. We then have to debit Supplies expense $877 and then credit supplies $877