In 8 hours if Martha writes 2 essays, how many essays can she write in 15 hours?

Answer:

slope = -2

y-intercept = 2

equation: y = -2x + 2

Step-by-step explanation:

The equation of a line is

y = mx + b

We need to find the slope, m, and the y-intercept, b.

The graph crosses the y-axis at y = 2, so the y-intercept, b, equals 2.

Now we have

y = mx + 2

slope = m = rise/run

We see points (1, 0) and (0, 2) on the graph. Starting at (1, 0), we go up 2 units. That is a rise of 2. Then we go 1 unit left. That is a run of -1.

slope = m = rise/run = 2/(-1) = -2

The slope is -2.

The equation is

y = -2x + 2

Answer:

y=-2x+2

Step-by-step explanation:

Using rise over run the line travels down 2 and right one from one point to another giving u -2/1 or -2 as the slope and it passes through the y-axis at 2 giving you a y-intercept of 2 and the equation y=-2x+2.

Answer:

Step-by-step explanation:

4,800 cm Units

Answer:

45

Step-by-step explanation:

We have that the sides of a right triangle receive different names depending on the angle we are going to analyze.

The opposite side of the right triangle is the hypotenuse:

And depending on the angle we are going to analyze, one side is that opposite to it and the other side is the adjacent:

We know by the Pythagorean Theorem that:

opposite² + adjacent² = hypotenuse²

In this case

hypotenuse = 20

adjacent = 16

opposite BC

Then

opposite² + adjacent² = hypotenuse²

↓

BC² + 16² = 20²

↓

BC² = 20² - 16²

BC² = 144 = 12²

↓

BC = 12

We have that the Sine formula is:

In this case:

angle = A

opposite side = 12

hypotenuse = 20

Then,

If we simplify it, we have:

We have that the Cosine Formula is:

In this case:

angle = A

adjacent side = 16

hypotenuse = 20

Then

If we simplify it, we have:

We have that the Tangent Formula is:

In this case:

angle = A

opposite side = 12

adjacent side = 16

If we simplify it, we have:

sinA = 0.6

cosA = 0.8

tanA = 0.75

Given the points (2, k) and (0, -6), and the distance is √5

The distance between two points is calculated by the formula:

Hence,

Therefore, the values of k would be -5 or -7 [option A is correct]

The c is equal to half of the definite integral of the function over the interval [0, 2].

To determine c such that f(c) is the average value of the function on the interval [0, 2], we can use the formula for the average value of a function:

avg = 1/(b-a) * ∫(a to b) f(x) dx

In this case, a = 0 and b = 2, so the formula becomes:

avg = 1/2 * ∫(0 to 2) f(x) dx

We want to find the value of c such that f(c) = avg, so we can set these two expressions equal to each other and solve for c:

f(c) = avg
f(c) = 1/2 * ∫(0 to 2) f(x) dx

We can then use calculus to solve for c by finding the derivative of both sides with respect to c and setting them equal to each other:

f'(c) = 1/2 * (f(2) - f(0))

Solving for c gives us:

c = (1/2) * ∫(0 to 2) f(x) dx

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Answer: 1.2 tons

Step-by-step explanation:

Answer:  1,777

Step-by-step explanation:

The midpoint Riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width is 9980

The midpoint Riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width is calculated by summing the area of each subinterval under the midpoint of the interval.

The formula for the midpoint Riemann sum is given by:

Sum = (width of interval) * (height of midpoint)

For this problem, since the width of each interval is 16/4 = 4, the midpoint Riemann sum is calculated by:

Sum = 4 * (1 + (16/4)^3 + (32/4)^3 + (48/4)^3)

Substituting the values for each midpoint, we get the following equation:

Sum = 4 * (1 + 4^3 + 8^3 + 12^3)

This simplifies to:

Sum = 4 * (1 + 64 + 512 + 1728)

Therefore, the midpoint Riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width is:

Sum = 4 * (2495)

Sum = 9980

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The restriction on x when x³ - 4x² + 5x - 6 is divided by x - 1 is x = 1.

When we divide x³ - 4x² + 5x - 6 by x - 1, we perform polynomial long division or synthetic division to find the quotient and remainder.

In this case, the remainder is zero, indicating that (x - 1) is a factor of the polynomial.

To find the restriction on x, we set the divisor, x - 1, equal to zero and solve for x.

Therefore, x - 1 = 0, which gives us x = 1.

Hence, the value of x that satisfies the restriction when x³ - 4x² + 5x - 6 is divided by x - 1 is x = 1.

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Step-by-step explanation:

40, 58, 58, 72, 74, 74, 76, 81,  83, 84, 92

1      2    3   4        5     6      5     4   3    2   1

1) A. 74

2) B. 40

3) A. 92

4) A. 58

Brainlist pls!

No, the claim of 75 percent satisfaction is not supported by the data provided.

To determine if the claim of 75 percent satisfaction is true, we need to compare the number of customers who had their complaints resolved satisfactorily to the total number of customers.

In this case, we have 9 out of 14 customers who had their complaints resolved satisfactorily.

To calculate the percentage of satisfaction, we divide the number of customers with resolved complaints by the total number of customers and then multiply by 100.

Number of customers with resolved complaints = 9
Total number of customers = 14

Percentage of satisfaction = (9/14) * 100 ≈ 64.29%

The actual percentage of satisfaction based on the given information is approximately 64.29%.

Therefore, the claim of 75 percent satisfaction is not supported by the data provided.

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Answer:

  $12

Step-by-step explanation:

You want to know the amount that has a tax of $0.72 when the tax rate is 6%.

The tax is computed by multiplying the price by the tax rate.

  tax = price × (tax rate)

  $0.72 = price × 0.06

  price = $0.72/0.06 = $(72/6) = $12

The original price of the bracelet is $12.

Answer:

x + 6 = -6

Step-by-step explanation:

Assuming x = -6

\(x+6=0\)

Subtract 6

\(x+6-6=0-6\)

Simplify arithmetic

\(x=0-6\)

Simplify arithmetic(again)

\(x=-6\)

we technically solved the equation right at the beginning when we assumed x was equal to -6 in order to group the constants to the right.

Hope this helps, have a great day!

Answer:

sry I am weak at gemotry..

The correct answer is experimental 22.5% theoretical 18.2%.

The theoretical probability is the likelihood of the event to happen without conducting an experiment,

The experimental probability is the result of the actual experiment, which in this case is the frequency of the letter M when chosen from the bag.  Theoretical probability in this case is the number of M's in the bag divided by the total number of letters in the bag.

In this case, there are nine M's out of a total of 39 letters, giving a theoretical probability of 18.2%. Since the number of M's chosen in the experiment was nine, out of a total of 39 chosen, the experimental probability is 22.5%.

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The correct answer is experimental 22.5% theoretical 18.2%. To calculate the experimental probability of drawing the letter M, we must first identify the total number of items in the bag.

The theoretical probability is the likelihood of the event to happen without conducting an experiment,

The total number of items in the bag is 9 + 12 + 7 + 2 + 4 + 1 + 3 + 2 = 40. Next, we divide the number of items with the letter M (9) by the total number of items to get the experimental probability of drawing the letter M.

Therefore, 9/40 = 0.225

= 22.5%.  

To calculate the theoretical probability of drawing the letter M, we must first identify the total number of letters in the bag.

There are 8 letters in the bag (M, A, T, H, E, I, C, S).

Therefore, the theoretical probability of drawing the letter M is

8/40 = 0.2

≈18.2%

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Answer:  

n

,  

n

+

2

,  

n

+

4

and  

n

+

6

.

Step-by-step explanation:

Answer:

30, 32, 34, 36

sorry for bad handwriting

In order to subtract mixed numbers, you need to make sure the fractions have the same denominator, subtract the numerators, subtract the whole numbers, and then combine the results.

When you subtract mixed numbers, you need to remember to subtract both the whole numbers and the fractions separately. The first step is to make sure that the fractions have the same denominator. Once the fractions have the same denominator, you can subtract the numerators and keep the denominator the same. After that, you can subtract the whole numbers.

Step 1: Make sure the fractions have the same denominator.

Step 2: Subtract the fractions.

Now that the fractions have the same denominator, we can subtract the numerators and keep the denominator the same:

Step 3: Subtract the whole numbers.

Now we can subtract the whole numbers:

Step 4: Combine the result.

Finally, we'll combine the result of the fraction and whole number:

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Answer:

Hypothesis: It is January

Conclusion:  There is snow

Step-by-step explanation:

COnditionals are in the form If p, then q.

P is the hypothesis.

Q is the conditional.

If (It is January), then (there is snow).

If and then are not included in the hypothesis and conclusion, respectively.

Hypothesis: It is January

Conclusion: There is snow

What is Hypothesis and Conclusion ?

The hypothesis is the first, or “if,” part of a conditional statement. The conclusion is the second, or “then,” part of a conditional statement. The conclusion is the result of a hypothesis. Hypotheses followed by a conclusion is called an If-then statement or a conditional statement. This is noted as. p→q. This is read - if p then q. A conditional statement is false if hypothesis is true and the conclusion is false.

Conditionals are in the form if P, then Q.

P is the hypothesis.

Q is the conclusion.

If It is January, then there is snow.

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The requried, graph is a line that goes through points (1.4) and (2,8). Option B is correct.

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression.

Here,
The given equation is y + 4 = 4(x + 1). To determine which statement is true about its graph, we can simplify the equation into slope-intercept form, y = mx + b, where m is the slope of the line and b is the y-intercept.

y + 4 = 4(x + 1)

y + 4 = 4x + 4

y = 4x + 4 - 4

y = 4x

Now we can see that the slope of the line is 4, and the y-intercept is 0. This means that the graph passes through the origin (0,0), and any point on the line can be found by starting at the origin and moving 4 units up for every 1 unit to the right.

From the given options, the only statement that is true about the graph of this equation is, B. The graph is a line that goes through points (1.4) and (2,8).

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Answer:

\(9\)

Step-by-step explanation:

\( {2}^{3} + 4 \times 2 - 7 \\ 8 + 8 - 7 \\ 16 - 7 \\ 9\)

Hope this helps you.

Can I have the brainliest please?

Have a nice day !!!!!!!!!!!!!

Answer:

i am from brazil

Step-by-step explanation:

i can not answer

Answer:

f(10)=-29

Step-by-step explanation:

substitute x=10 into f(x)=-3x+1

f(10)=-3×10+1

f(10)= -29

Given that,

→ x = 10

Let's solve the problem

→ -3x + 1

→ -3(10) + 1

→ -30 + 1 = -29

Thus, the answer is -29.

Answer:

She should invest 150,000 in government bonds and 50,000 in investment grade bonds

Step-by-step explanation:

Let the amount invested in government bonds be $y while the amount invested in investment bond be $x

Since total is $200,000

Then:

x + y = 200,000 ••••••(i)

Since 13,000 is what is expected to be earned, then this is like the interest.

thus;

6% of x + 8% of y = 13,000

6x/100 + 8y/100 = 13,000

Multiply through by 100

6x + 8y = 1300000 •••••••(ii)

From i, x = 200,000 - y

insert this into ii

6(200,000-y) + 8y = 1300000

1200000-6y + 8y = 1300000

2y = 1300000-1200000

2y = 100,000

y = 100,000/2

y = 50,000

but x + y = 200,000

thus, x = 200,000 - 50,000

x = 150,000

Answer:

The statements about arcs and angles that are true in the figure are;

1) ∠EFD ≅ ∠EGD

2) \(\overline{ED}\cong \overline{FD}\)

3) mFD = 120°

Step-by-step explanation:

1) ∠ECD + ∠CEG + ∠CDG + ∠GDE = 360° (Sum of interior angle of a quadrilateral)

∠CEG = ∠CDG = 90° (Given)

∠GDE = 60° (Given)

∴ ∠ECD = 360° - (∠CEG + ∠CDG + ∠GDE)

∠ECD = 360° - (90° + 90° + 60°) = 120°

∠ECD = 2 × ∠EFD (Angle subtended is twice the angle subtended at the circumference)

120° = 2 × ∠EFD

∠EFD = 120°/2 = 60°

∠EFD ≅ ∠EGD

∠ECD = 120°

∠EGD = 60°

∴∠EGD ≠ ∠ECD

2) Given that arc mEF ≅ arc mFD

Therefore, ΔECF and ΔDCF are isosceles triangles having two sides (radii EC and CF in ΔECF and radii EF and CD in ΔDCF

∠ECF = mEF = mFD = ∠DCF (Given)

∴ ΔECF ≅ ΔDCF (Side Angle Side, SAS, rule of congruency)

\(\\ \overline{EF}\cong \overline{FD}\) (Corresponding Parts of Congruent Triangles are Congruent, CPCTC)

∠FED ≅ ∠FDE (base angles of isosceles triangle)

∠FED + ∠FDE + ∠EFD = 180° (sum of interior angles of a triangle)

∠FED + ∠FDE = 180° - ∠EFD = 180° - 60° = 120°

∠FED + ∠FDE = 120° = ∠FED + ∠FED (substitution)

2 × ∠FED  = 120°

∠FED = 120°/2 = 60° = ∠FDE

∴ ∠FED = ∠FDE = ∠EFD =  60°

ΔEFD  is an equilateral triangle as all interior angles are equal

\(\\ \overline{EF}\cong \overline{FD}\cong \overline{ED}\) (definition of equilateral triangle)

\(\overline{ED}\cong \overline{FD}\)

3) Having that ∠EFD = 60° and ∠CFE = ∠CFD (CPCTC)

Where, ∠EFD = ∠CFE + ∠CFD (Angle addition)

60° = ∠CFE + ∠CFD = ∠CFE + ∠CFE (substitution)

60° = 2 × ∠CFE

∠CFE =60°/2 = 30° = ∠CFD

\(\overline{CF}\cong \overline{CD}\) (radii of the same circle)

ΔFCD is an isosceles triangle (definition)

∠CFD ≅ ∠CDF (base angles of isosceles ΔFCD)

∠CFD + ∠CDF + ∠DCF = 180°

∠DCF = 180° - (∠CFD + ∠CDF) = 180° - (30° + 30°) = 120°

mFD = ∠DCF (definition)

mFD = 120°.

Answer:

1,3,5

Step-by-step explanation:

right on edge 2022

Answer:

  y +3 = 5(x +2)

Step-by-step explanation:

You want the equation of a line with slope 5 through the point (-2, -3).

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y +3 = 5(x +2) . . . . . . line with slope 5 through point (-2, -3)

__

Additional comment

This can also be written as ...

  y = 5x +7 . . . . . . . . . subtract 3 and simplify

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Answer:

bottom right rectangle: 5x − y

bottom circle: 6x

Step-by-step explanation:

First, solve for the bottom right rectangle by finding the difference between the top right rectangle and the middle right circle:

(9x + 4y) − (4x + 5y)

= (9x − 4x) + (4y − 5y)

= 5x − y

Next, to find the bottom circle, add the bottom left rectangle with the bottom right rectangle (the one we just solved for):

(x + y) + (5x − y)

= (x + 5x) + (y − y)

= 6x

Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

Answer: B

Step-by-step explanation:

Answer: the answer is D. x/2 <1

Answer:

Step-by-step explanation:

V=1/3 π 10²×9=300 π cm³

Answer:

300pi cm³

Step-by-step explanation:

Use the formula to find the volume of the cone: (pi)r²(h÷3)

Hope this helps :)

Answer:

I think the answer is 3

Step-by-step explanation:

0.9/100=x/36

36 x 0.9= 32.4

100x = 100x

100/32.4 = 3.08...

x = about 3