-2/3 + (-3/10)
Someone please help

Answer:

x=15

Step-by-step explanation:

angle 2 and angle 4 are same side interior angles. same side interior angles are supplementary angles or angles that add up to 180°

2x+10+4x+80=180

6x+90=180

-90 -90

6x=90

6x/6=90/6

x=15

hopefully this helps :)

Answer:

C) A random sample of homes in the city is taken, and city officials visit these homes and survey the homeowners.

We can see that the method that would not provide a voluntary response sample is: C) A random sample of homes in the city is taken, and city officials visit these homes and survey the homeowners.

Voluntary response sample refers to the sample that participants chose to be involved in and such is carried out voluntarily without compulsion.

Thus, we see here that the method that would not provide a voluntary response sample is the random sample method.

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Answer:

The average GPA would be 1.8

Step-by-step explanation:

Hope this is helpful. I did a test like this exact question and I got it right.

The number of sales a promoter can expect if he spends $10,000 in advertising is $80,000 that is option B.

While going through a word problem like this, read it a few times to comprehend the context without focusing too much on the numbers..... Something along the lines of....

"If a promoter spends money on advertising, he will get more customers."

Short sentences should be used to summarise the content.

$10,000 is spent by the promoter.

"For every $100 spent, 20 new customers are drawn."

"Tickets are $40."

In one calculation this would be:

Using ratio of,

income/expenditure = 800/100 = income/10,000

= 10000 x 20 x 40 / 100

= 80,000

Therefore, the value of sale increase should be $80,000.

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Answer:

27

Step-by-step explanation:

3 numbers=30x3=90

third number=90-28-35=27

Hope this helps! Thanks.

Answer:

Well, nothing because you didn't say how much money you make a day, a week, or a month.

Step-by-step explanation:

You tried to trick me haha <3

Answer:

A

Step-by-step explanation:

Answer:

(7x-y)(7x+y)

Step-by-step explanation:

Answer:

(7x-y)×(7x+y)

Step-by-step explanation:

49x²-y²

7²x²-y²

(7x²)-y²

(7x-y)×(7x+y)

Answer:

3/5

Step-by-step explanation:

1. Establish the Equation: SinA = \(\frac{21}{35}\)

2.  simplify \(\frac{3}{5}\)

Answer:

sinA = \(\frac{3}{5}\)

Step-by-step explanation:

sinA = \(\frac{opposite}{hypotenuse}\) = \(\frac{BC}{AC}\) = \(\frac{21}{35}\) = \(\frac{3}{5}\)

Answer:

Shown below.

Step-by-step explanation:

Test Marks          Tally          Frequency          Percentage

1                                                    8                   8/60 = 0.133

2                                                   6                   6/60 = 0.100

3                                                   5                   5/60 = 0.083

4                                                   5                   5/60 = 0.083

5                                                   5                   5/60 = 0.083

6                                                   8                   8/60 = 0.133

7                                                   6                   6/60 = 0.100

8                                                   7                   7/60 = 0.116

9                                                   4                   4/60 = 0.066

10                                                 5                   5/60 = 0.083

Total                                            59                 59/60 = 0.983

For the Tally section, I believe you just fill in tally marks corresponding to the frequency. One of the observations in the table is 0, which is not a column in the frequency table.

The lower bound of the 90% confidence interval for the true average menstrual cycle length is 27.4.

a) Calculation for the lower bound of 90% confidence interval: The formula for calculating the confidence interval is, :

Lower Limit = X - Zα/2 × (σ/√n) Where, X = sample mean Zα/2 = 1.645σ = sample standard deviation= sample size Putting the given values into the formula, Lower Limit = 28.86 - 1.645 × (4.24/√50)≈ 27.4

The upper bound of the 90% confidence interval for the true average menstrual cycle length is 30.3.

b) Calculation for the upper bound of 90% confidence interval: The formula for calculating the confidence interval is,:

Upper Limit = X + Zα/2 × (σ/√n) Where ,X = sample mean Zα/2 = 1.645σ = sample standard deviation = sample size Putting the given values into the formula, Upper Limit = 28.86 + 1.645 × (4.24/√50)≈ 30.3

The confidence interval is (27.4, 30.3) and the hypothesized value is 29.5.

c) Hypothesis testing:According to the hypothesis, women's menstrual cycles are typically the same length as a lunar month - 29.5 days. So, we can check if the interval from (a,b) supports this hypothesis or not by comparing the hypothesized value with the confidence interval.

As we see that the hypothesized value is within the interval, we can say that the interval from (a,b) supports the hypothesis. Therefore, the answer is Yes.

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To find the equation of the parabola, first let's write the parent function,

y = a(x-h)^2+k. Ok, now we need to find the vertex and plug it in. Remember, (h,k). When we look at the problem the vertex is (0,4). Therefore we write it as y = a(x-0)^2 +4 or y = ax^2 + 4. Now we need to look to see if it was stretched or compressed. Keep in mind that on a normal parabola, if you move over 1 you go up one. If you move over 2 you go up four. If you move over 3, you go up 9. In this problem, you move over 1, you go up 1. If you move over 2, you go up 4. If you move over 3, you go up 9. From this information, we see that there is no stretch or compression. Therefore the equation of the graph shown is:

y= x^2 +4

Explanation:

You can use a calculator or a Z table here. I'll go with the table option.

Using a Z table, you should find that P(Z < -1.96) = 0.0250

So the remaining area must be 1 - 0.0250 = 0.9750 which represents P(Z > -1.96). This is the same as P(X > -1.96) because X is distributed identical to the Z distribution (mean = 0, std dev = 1).

If you go the calculator route, then it depends on which calculator or computer software you use. If you prefer this route, then let me know which calculator you're using and I'll try to find the correct input to type in for that calculator.

Answer:

I would say Right, Isosceles.

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(0+2)^2+(1+5)^2}=\sqrt{4+36}=\sqrt{40} \approx6.3\)

Starting Equation : 4x+6<-6

1. Subtract 6 from both sides

4x+6-6<-6-6

2. Simplify

4x<-12

3. Divide both sides by 4

4x/4 < -12/4

4. Lastly Simplify again

x < -3

9514 1404 393

Answer:

  100°

Step-by-step explanation:

Opposite angles in an inscribed quadrilateral are supplementary:

  x° +80° = 180°

  x° = 100° . . . . . . . subtract 80°

Answer:

Step-by-step explanation:

Given:

Equations:

Substitute values of b and t into first equation and solve for t:

Find the values of f and b:

1)The completed table is

Yellow paint (quarts) | Red paint (quarts)

5 | 3

6 | 3.6

2) The car travels 98 miles in 14 hours.

3) The orchard can produce 450 liters of olive oil in a year.

What is a ratio?

A ratio is a quantitative comparison between two or more quantities, indicating how many times one quantity contains another. It is expressed as the quotient of the two quantities or in the form of a fraction. Ratios can be represented in various ways, including as decimals, percentages, or fractions.

Complete the table to show the amounts of yellow and red paint needed for different numbers of batches of the same shade of orange paint.

Yellow paint (quarts) | Red paint (quarts)

5 | 3

6 | 3.6

To get the same shade of orange paint, we need to mix yellow and red paint in a certain ratio. This ratio will determine the hue, saturation, and brightness of the final color. In this case, we can see that the ratio of yellow to red paint is 5:3 in the first row of the table, and 6:3.6 (which simplifies to 5:3) in the second row. This means that we need the same amount of yellow and red paint for each batch of orange paint, in a 5:3 ratio.

A car is traveling at a constant speed, as shown by the double number line.

The distance traveled by the car is directly proportional to the amount of time it travels. This means that the ratio of distance to time is constant. From the given double number line, we can see that the car travels 21 miles in 3 hours. Therefore, the ratio of distance to time is 21:3 or 7:1. To find how far the car travels in 14 hours, we can set up a proportion:

distance/time = 7/1

distance/14 = 7/1

distance = 7 x 14

distance = 98 miles

Therefore, the car travels 98 miles in 14 hours.

The olive trees in an orchard produce 3000 pounds of olives per year. It takes 20 pounds of olives to produce 3 liters of olive oil.

To find how many liters of olive oil the orchard can produce in a year, we need to divide the total weight of olives by the amount of olives needed to produce one liter of oil, and then multiply by the conversion factor:

Liters of oil = (Pounds of olives / Pounds per liter) x Conversion factor

Liters of oil = (3000 / 20) x 3

Liters of oil = 150 x 3

Liters of oil = 450

Therefore, the orchard can produce 450 liters of olive oil in a year.

Hence,

1)The completed table is

Yellow paint (quarts) | Red paint (quarts)

5 | 3

6 | 3.6

2) The car travels 98 miles in 14 hours.

3) The orchard can produce 450 liters of olive oil in a year.

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Answer:

B

(-20x + 36)+(12x+30)

-8x+66

Answer:

27 units

Step-by-step explanation:

First lets add the 2 segments on the top.

8x-11 + 14x-15

Then we can add the like terms together to get

22x-26

The equation above is equal to the equation below the number line, since we added the two on top together, so:

22x-26=19x-17

Now we can start solving

Add 26 to both sides and subtract 19 from both sides

3x=9

Now we can divide by 3

x=3

TU is 14x-15, so we can substitute in 3 for x

14*3-15

42-15

27

Answer:

27 units

Step-by-step explanation:

Set up an equation:

8x -11 + 14x -15 = 19x - 17

Combine like terms:

22x - 26 = 19x -17

Subtract 19x on both sides:

(22x - 26) - 19x = (19x - 17) - 19x

3x - 26 = -17

Add 26 on both sides to isolate the x term:

(3x - 26) + 26 = (-17) + 26

3x = 9

Then, divide by 3 on both sides to fully isolate x:

3x / 3 = 9 / 3

x = 3

Plug 3 for x into the formula for TU:

14(3) - 15 = x

42 - 15 = x

x = 27

TU = 27 units

Hope this helps!

Answer:

The height of the tree is approximately 21.4 feet

Step-by-step explanation:

We list out the question parameters first as follows;

The distance from the base of the tree where the angle of elevation is measured, d = 10 feet

The angle of elevation to the top of the tree from 10 feet from the base, θ = 65°

Let 'h' represent the height of the tree, then we have;

The line formed by the angle 65° angle, the height of the tree, 'h', and the distance 'd', form a right triangle with 'h' being the opposite leg to the given reference angle, 65°, and 'd' being the adjacent leg

By trigonometric ratio, we have;

\(tan(\theta) = \dfrac{Opposite \ leg \ length}{Adjacent\ leg \ length} = \dfrac{h}{d}\)

∴ h = d × tan(θ)

Plugging in the given values, we get;

h = 10 feet × tan(65°) = 21 feet \(5\frac{11}{32}\) inches

∴  By rounding to the nearest tenth of a foot, the height of the tree, h ≈ 21.4 feet.

6∫[2,6] (1 + (f'(x))²) dx + 16∫[2,6] x dx = 6S²V1 + 16x dx. To solve this equation, we need additional information about the curve, such as a boundary condition or another equation that relates f(x) and f'(x).

To find a curve that passes through the point (1, 5) and has an arc length on the interval [2, 6] defined by the expression 6S²V1 + 16x dx, we can follow these steps:

Step 1: Determine the general form of the curve equation.

Step 2: Use the arc length formula to obtain an equation involving the curve's equation.

Step 3: Solve the resulting equation to find the specific curve.

Let's proceed with each step:

Step 1: Determine the general form of the curve equation.

Let's assume the curve equation is y = f(x), where f(x) represents the unknown function describing the curve.

Step 2: Use the arc length formula to obtain an equation involving the curve's equation.

The arc length formula for a curve defined by y = f(x) is given by:

S = ∫[a,b] √(1 + (f'(x))²) dx

We are given that the arc length on the interval [2, 6] is defined by the expression 6S²V1 + 16x dx. Substituting the formula for arc length, we have:

6∫[2,6] (√(1 + (f'(x))²))²dx + 16∫[2,6] x dx

Simplifying, we get:

6∫[2,6] (1 + (f'(x))²) dx + 16∫[2,6] x dx

Step 3: Solve the resulting equation to find the specific curve.

Since the expression 6S²V1 + 16x dx represents the arc length on the interval [2, 6], we need to equate it to the arc length formula obtained in Step 2.

6∫[2,6] (1 + (f'(x))²) dx + 16∫[2,6] x dx = 6S²V1 + 16x dx

To solve this equation, we need additional information about the curve, such as a boundary condition or another equation that relates f(x) and f'(x). Without such information, it is not possible to determine the specific curve. Please provide additional constraints or information if available to proceed further in finding the specific curve.

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"0" was the gift tax in 2018.

Gift taxes are paid by either the giver or the recipient?

A gift tax is not present. There is no gift tax because gifts up to $15,000 are tax-free.

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Answer:

7 ( 2F - 3 )

Step-by-step explanation:

4F + (-21) + 10 F

14F - 21

Combine like terms ^

14F - 21

7 ( 2F - 3 )

Find the common factor ^

And there you have it

7 ( 2F - 3 )

Answer:

C. Hollow cone frustum

Step-by-step explanation:

Revolved it in my head, because the line isn't touching the triangle it will be hollow, because the triangle has a slope the shape will taper.

You should pay approximately $10,117.09 initially to secure the annuity and receive annual payments of $1500 over the 9-year period.

To find the cost of the annuity, we need to calculate the present value of the future payments. The present value represents the current worth of future cash flows, taking into account the interest earned or charged over time. In this case, we'll calculate the present value of the $1500 payments using compound interest.

The formula to calculate the present value of an annuity is:

PV = PMT × [1 - (1 + r)⁻ⁿ] / r

Where:

PV is the present value of the annuity (the amount you should pay initially)

PMT is the payment amount received annually ($1500 in this case)

r is the interest rate per period (6.28% or 0.0628)

n is the total number of periods (9 years)

Let's substitute the values into the formula:

PV = $1500 × [1 - (1 + 0.0628)⁻⁹] / 0.0628

Calculating this expression:

PV = $1500 × [1 - 1.0628⁻⁹] / 0.0628

PV = $1500 × [1 - 0.575255] / 0.0628

PV = $1500 × 0.424745 / 0.0628

PV ≈ $10117.09

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Answer:

===================

a) Use the distance formula:

\(d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Substitute the coordinates and calculate:

\(d=\sqrt{(5-(-1))^2+(2-10)^2} =\sqrt{6^2+(-8)^2} =\sqrt{36+64} =\sqrt{100} =10\)

The distance is AB = 10 units

b) Use midpoint formula and find x and y- coordinates of this point:

\(x= \cfrac{x_1+x_2}{2}\)    and    \(y= \cfrac{y_1+y_2}{2}\)

Substitute coordinates and find the midpoint:

\(x= \cfrac{-1+5}{2} =2\)  and  \(y= \cfrac{10+2}{2}=6\)

The midpoint is (2, 6)

Answer:

Length of line segment AB = 10 units

Midpoint of line segment AB = (2, 6)

Step-by-step explanation:

To find length, apply the distance formula :

To find the midpoint :

There are 364 different committees of 3 people. There are 436 different committees of 4 people.

There are different scenarios for which we can calculate the number of possible committees. Here are a few examples:

To calculate the number of different committees of 3 people, we can use the combination formula, which is:

\(${n \choose k} = \frac{n!}{k!(n-k)!}$\)

where n is the total number of people and k is the number of people needed for the committee. Using this formula, we get:

\(${14 \choose 3} = \frac{14!}{3!(14-3)!} = \frac{14!}{3!11!} = 364$\)

Therefore, there are 364 different committees of 3 people that can be formed from this group.

To solve this problem, we can use the principle of inclusion-exclusion. First, we calculate the total number of committees of 4 people, which is:

\(${14 \choose 4} = \frac{14!}{4!(14-4)!} = \frac{14!}{4!10!} = 1001$\)

Next, we calculate the number of committees that do not include a freshman, which is:

\(${12 \choose 4} = \frac{12!}{4!(12-4)!} = \frac{12!}{4!8!} = 495$\)

Similarly, we calculate the number of committees that do not include a sophomore, a junior, and a senior, which are:

\(${11 \choose 4} = \frac{11!}{4!(11-4)!} = \frac{11!}{4!7!} = 330$\)

\(${10 \choose 4} = \frac{10!}{4!(10-4)!} = \frac{10!}{4!6!} = 210$\)

\(${9 \choose 4} = \frac{9!}{4!(9-4)!} = \frac{9!}{4!5!} = 126$\)

Now we can apply the principle of inclusion-exclusion, which is:

Total number of committees - (number of committees without a freshman + number of committees without a sophomore + number of committees without a junior + number of committees without a senior) + (number of committees without a freshman and without a sophomore + number of committees without a freshman and without a junior + number of committees without a freshman and without a senior + number of committees without a sophomore and without a junior + number of committees without a sophomore and without a senior + number of committees without a junior and without a senior) - number of committees without any freshmen, sophomores, juniors, or seniors.

Plugging in the values, we get:

$1001 - (495 + 330 + 210 + 126) + (66 + 120 + 165 + 84 + 55 + 35) - 1 = 436$

Therefore, there are 436 different committees of 4 people that can be formed, with at least one person from each grade level.

Note that for the last step, we subtracted 1 because there is only one committee that has no freshmen, sophomores, juniors, or seniors.

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Answer:

64 square centimeters

Step-by-step explanation:

The surface are of a pyramid is found by finding the sum of the area of the four sides and the base.

Finding the triangular face:

Area of triangle = \(\frac{1}{2} b h\) = \(\frac{1}{2}*4*6 = 12\)

12 * 4 (4 sides) = 48 square cm

Finding the Base = \(w * l = 4 * 4 = 16\)

Finally, we add it together. 48 + 16 = 64