what is 2 2/3 + 1 1/5

Answer:

C

Step-by-step explanation:

|-80 - 15| = 95

The distance between -80 and 15 is 95

80 to 0 plus 15.

Answer:

y= -1/3x+1

Step-by-step explanation:

Answer: Segment 1 and 2 are decreasing and segment 3 is increasing.

Step-by-step explanation: Segment 1 and 2 have negative slopes and segment 3 has a positive slope

The distance between two trains is 224 miles.

The speed of one train is 75 miles per hour and the speed of the second train is 85 miles per hour.

The train is moving towards each other. So the relative speed of the train is,

So the distance between trains 224 miles is covered at the speed of 160 miles per hour.

Determine the time after which trains meet each other.

So two trains meet after 1.4 hours.

The smallest positive integer Joelle could have multiplied 756 by

15876

This is further explained below.

What is a perfect square?

Generally, A perfect square number is a number in mathematics that, when its square root is calculated, yields a natural number.

To solve this problem we can do:

By properties of roots

So, so that the multiplication of 756 by an integer becomes a perfect square, you have to multiply it by 21 to make $21^2$ and thus "eliminate" the root.

756 * 21=15876

In conclusion,  You can verify that 15876is a perfect square since root (15876)=132 and 132 is a natural number

Read more about perfect square

brainly.com/question/385286

#SPJ4

Answer:

Step-by-step explanation:

To estimate the required sample size for estimating the true proportion of Americans who support gun control in 2018 with a 95% confidence level and a margin of error of 0.36, we need to use the formula:

n = (Z^2 * p * (1 - p)) / E^2

Where:

n = required sample size

Z = Z-score corresponding to the desired confidence level (for 95% confidence level, Z ≈ 1.96)

p = estimated proportion (since we have no prior information, we can use p = 0.5, which gives the maximum sample size required)

E = margin of error

Substituting the values into the formula:

n = (1.96^2 * 0.5 * (1 - 0.5)) / 0.36^2

n = (3.8416 * 0.25) / 0.1296

n ≈ 9.6042 / 0.1296

n ≈ 74.0842

Rounding up to the nearest whole number, the required sample size is approximately 75. Therefore, you would need to survey at least 75 randomly selected Americans to estimate the true proportion of Americans who support gun control in 2018 with a 95% confidence level and a margin of error of 0.36.

Answer:

12 years old

Step-by-step explanation:

3x+5=41

3 times a number and 5 more

'more' usually means adding

41-5 =36

36/3 =12

Answer:

Equation: 41 = 3x + 5

x = 12

Step-by-step explanation:

Hello!

Betty is 5 more than 3 times Jadyn's age. Since Jadyn's age is unknown, we'll call that unknown variable x.

Betty is 5 more than 3 times x. Betty is also 41 years old.

Equation: 41 = 3x + 5

Now we have to solve for x

Solve for x:

Jadyn is 12 years old.

A sequence is arithmetic sequence when the first differences are all the same non-zero number.

An arithmetic sequence is a set of integers where each term is created by multiplying the preceding term by a defined number. The common difference of the series, which is a constant value, is the same for all following pairs of terms.

As a result, a sequence can be said to be arithmetic if its first differences all contain the same non-zero value. For instance, the arithmetic sequence 3, 6, 9, 12, 15,... has a common difference of 3.

To know more about Arithmetic sequence, visit,

https://brainly.com/question/6561461

#SPJ4

The largest rectangle that may be inscribed in an ellipse has a surface area of 2ab. x²/a² + y²/b² = 1

Refer attached diagram

Area of rectangle = 4xy

A = 4xy

dA / dx = 4xdy / dx + 4y

x²/a² + y²/b² = 1

=> 2x / a² + 2y (dy / dx) / b² = 0

Simplifying,

=> dy / dx = - xb²/a²y

dA / dx = 4x (- xb² / a²y) + 4y

put dA / dx = 0

=> a²y² = b²x²

=> x²/a² = y²/b²

Then we get,

x²/a² + y²/b² = 1

=> x²/a² = y²/b² = 1/2

x = a/√2  , y = b/√2

Area = 4xy  =  4 ( a/√2)(b/√2)  = 2ab

The largest rectangle that may be inscribed in an ellipse has a surface area of 2ab. x²/a² + y²/b² = 1

To learn more about rectangle, refer to:

https://brainly.com/question/25292087

#SPJ4

Answer:

-1/2

Step-by-step explanation:

I think

Therefore , the solution of the given problem of expression comes out to be  =C3 by using this formula, the spreadsheet is instructed to show the value in column C3.

Mathematical processes like multiplying, dividing, addition, and subtracting are essential. Combining them would result in the following phrase: An equation, some information, and a mathematical function Values, variables, and functions, such as additions, subtractions, multiplications, and divisions, are the building blocks of a statement of truth. Words and sentences can be contrasted and compared.

Here,

Simply type the following formula into the formula bar to show the value of cell 3 in a chosen cell:

=C3

By using this formula, the spreadsheet is instructed to show the value in column C3.

You can change "C3" to the complex number of the cell whose value you want to show.

Make sure the formula is written in the proper cell and that the cell reference is accurate.

The formula would then calculate and display a value from the designated cell in the chosen cell after you hit the Enter key.

To know more about expressions visit :-

brainly.com/question/14083225

#SPJ4

a) 2-year subscriptions is approximately 20%.

b) 3-year subscriptions is approximately 29.56%.

c) 5-year subscriptions is approximately 41.33%.

To compute the rate of return on the investment for purchasers of different subscription lengths, we need to calculate the average annual cost of each subscription option.

a) 2-year subscriptions:

The cost of a 2-year subscription is $12.00. To find the average annual cost, we divide the total cost by the number of years:

Average annual cost = $12.00 / 2 = $6.00

b) 3-year subscriptions:

The cost of a 3-year subscription is $16.00. To find the average annual cost, we divide the total cost by the number of years:

Average annual cost = $16.00 / 3 = $5.33 (rounded to two decimal places)

c) 5-year subscriptions:

The cost of a 5-year subscription is $22.00. To find the average annual cost, we divide the total cost by the number of years:

Average annual cost = $22.00 / 5 = $4.40

Now, to calculate the rate of return on the investment, we need to compare the average annual cost to the regular 1-year subscription rate of $7.50.

a) For 2-year subscriptions:

Rate of return = (1 - Average annual cost / 1-year subscription rate) * 100%

Rate of return = (1 - $6.00 / $7.50) * 100% ≈ 20%

b) For 3-year subscriptions:

Rate of return = (1 - Average annual cost / 1-year subscription rate) * 100%

Rate of return = (1 - $5.33 / $7.50) * 100% ≈ 29.56%

c) For 5-year subscriptions:

Rate of return = (1 - Average annual cost / 1-year subscription rate) * 100%

Rate of return = (1 - $4.40 / $7.50) * 100% ≈ 41.33%

Therefore, the rate of return on the investment for purchasers of:

a) 2-year subscriptions is approximately 20%.

b) 3-year subscriptions is approximately 29.56%.

c) 5-year subscriptions is approximately 41.33%.

learn more about interest expense on

https://brainly.com/question/15707178

#SPJ11

Answer:

-14

Step-by-step explanation:

12-26

10-20=10

2-6=4

-14

I may have done this wrong

Answer:

the formula for the area of a trapezoid is area =(top + bottom)/2 x height

using the given information we can solve

for x:

234 = (20+32)/2 X

234 = 52/2 X

234 = 26 X

X=234/26

X= 9 units

The range of the function f(x) = log5x is (-∞, +∞).The function f(x) = log5x represents the logarithm base 5 of x. To determine the range of this function, we need to consider the possible values that the logarithm can take.

The range of the logarithm function y = log5x consists of all real numbers. The logarithm function is defined for positive real numbers, and as x approaches 0 from the positive side, the logarithm approaches negative infinity. As x increases, the logarithm function approaches positive infinity.

The range of the function is the set of all possible output values. In this case, the range consists of all real numbers that can be obtained by evaluating the logarithm

log5(�)log 5 (x) for �>0 x>0.

Since the base of the logarithm is 5, the function log5x will take on all real values from negative infinity to positive infinity. Therefore, the range of the function f(x) = log5x is (-∞, +∞).

In other words, the function can output any real number, ranging from negative infinity to positive infinity. It does not have any restrictions on the possible values of its output.

For more such questions on Logarithm:

https://brainly.com/question/31117877

#SPJ8

Answer: All real numbers

Step-by-step explanation:

Edge

The value of the house when it was purchased was approximately $200,000.

To find the value of the house when it was purchased, we can work backwards using the given information.

First, we know that the current value of the house is $254,000 and it has increased in value by 27%.

To find the original value of the house, we need to subtract the increase in value from the current value.

Step 1: Calculate the increase in value:
           27% of the original value = 0.27 * original value

Step 2: Subtract the increase from the current value:
           current value - increase = original value
           $254,000 - (0.27 * original value) = original value

Now, let's solve this equation to find the original value of the house:

$254,000 - 0.27 * original value = original value

$254,000 = 1.27 * original value

original value = $254,000 / 1.27

original value ≈ $200,000

Therefore, the value of the house when it was purchased was approximately $200,000.

To know more about value visit:

https://brainly.com/question/29139648

#SPJ11

The required length of the other leg is \($\sqrt{5}$\) cm. If we need to round to the nearest tenth, we get: \($b \approx 2.2$\) cm

Let's use the Pythagorean theorem to solve this problem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. So we have:

\($c^2 = a^2 + b^2$\)

where c is the length of the hypotenuse, a and b are the lengths of the legs.

We are given that the length of the hypotenuse is 3 cm and the length of one leg is 2 cm. Let's substitute these values into the equation above:

\($3^2 = 2^2 + b^2$\)

\($9 = 4 + b^2$\)

\($b^2 = 5$\)

\($b = \sqrt{5}$\)

So the length of the other leg is \($\sqrt{5}$\) cm. If we need to round to the nearest tenth, we get: \($b \approx 2.2$\) cm (rounded to one decimal place).

To know more about Hypotenuse visit:

brainly.com/question/29407794

#SPJ1

The possible values of the number will be -62/4 or -31/2.

Multiplication of numbers may be defined as the tool or arithmetic operation which can be used to increase the count of a number. For example, if there is a number 4, then in order to increase the number it will be multiplied with some other number like 9. Now, the number will be 4×9 = 36. We are given that the product of -4 with a number gives the answer as 62. Let us assume the number as x and form the equation in accordance with the data given in the question.

-4×(x) = 62

Now, to find x we divide -4 on both the sides and we get

x = -62/4

This number can also be simplified by dividing both numerator and denominator with 2 and we get

x = -31/2.

Learn more about Multiplication at:

brainly.com/question/1135170

#SPJ1

Answer:

the constant term is: -20

quadratic term is: -5x^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

For the triangle its base is 2 if u add the corners together u get one whole square. so b*h/2

2*4/2=4

And the square is b*h=2*2=4Thts how u show they are the same

The perimeter and the area of the composite figure are 5√10 + 10 + √50 units and 35 square units.

In this problem we find a composite figure as a result of the sum of five triangles and a rectangle. The perimeter is the sum of all side of the composite figure:

p = AB + BC + CD + DE + EF + FG + AG

And each side can be found by Pythagorean theorem:

l = √[(Δx)² + (Δy)²]

And the area formulas for triangles and rectangles are listed below:

Triangles

A = 0.5 · w · l

Rectangles

A = w · l

Where:

The perimeter of the composite figure is:

p = √(3² + 1²) + 5 + √(1² + 3²) + √(1² + 3²) + √(7² + 1²) + √(6² + 2²) + 5

p = √10 + 5 + √10 + √10 + √50 + √40 + 5

p = 5√10 + 10 + √50

The area of the composite figure is:

A = 0.5 · 3 · 1 + 7 · 3 + 0.5 · 1 · 3 + 0.5 · 3 · 1 + 0.5 · 7 · 1 + 0.5 · 6 · 2

A = 1.5 + 21 + 1.5 + 1.5 + 3.5 + 6

A = 35

To learn more on composite figures: https://brainly.com/question/23082031

#SPJ1

In this experiment, the dependent variable would be the amount of fruit production by tomato plants.

The dependent variable is the variable that is measured or observed in an experiment. It is the outcome or response that is influenced by the independent variable, which is the variable that is manipulated or controlled by the researcher. In this case, the independent variable would be the brand of fertilizer.

By testing different brands of fertilizer and measuring the resulting fruit production, the researcher can determine the impact of each brand on the tomato plants' yield. The dependent variable, which is the amount of fruit production, will vary based on the different levels or variations of the independent variable (i.e., different brands of fertilizer).

By analyzing the data collected on fruit production for each brand of fertilizer, the researcher can identify which brand yields the greatest amount of fruit. This information can be used to make informed decisions on the most effective fertilizer brand for maximizing tomato plant productivity.

Learn more about production here:

https://brainly.com/question/31859289

#SPJ11

Answer:

2.436

Step-by-step explanation:

It’s Right Trust me

Answer: A-We looked up the Z Score for 1.76 in our Normal Distribution Tables with Z Scores so you don't have to!

First, note that a Z Score of 1.76 means that your statistic is 1.76 standard deviation to the right of the mean on a bell curve. Here is a Bell Curve so you can visualize where 1.76 is on a bell curv

B-The numerical value of 1290 in Chaldean Numerology is: 0. Pythagorean Numerology. The numerical value of 1290 in Pythagorean Numerology is: 0

C-Since 2^10 is the same as 2^5 * 2^5 he was just breaking it down into something easier to calculate to verify that he had the right answer for 2^10 before working the rest of the equation.

Step-by-step explanation:

Step-by-step explanation:

Ef

2×9+2

=20

Ab

2×20-20

=20

Answer:

0.00006014573

Step-by-step explanation:

what i did was first complete (32/243) in parentheses,

Then i simplified 4/5 into a decimal and did the exponential value as a decimal to get 0.00006014573.

Hope you have a good day!,

sincerely,policekid0

The measure of angle a is 15 degrees and this can be determined by using the properties of the isosceles triangle.

In geometry, interior angles are formed in two ways. One is inside a polygon, and the other is when parallel lines cut by a transversal. Angles are categorized into different types based on their measurements.

Given:

The following steps can be used in order to determine the measure of angle a:

Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.

Step 2 - Apply the sum of interior angle property on triangle PQR.

\(\angle\text{Q}+\angle\text{P}+\angle\text{R}=180\)

\(\angle\text{Q}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-60\)

\(\angle\text{R}=60^\circ\)

Step 3 - Now, apply the sum of interior angle property on triangle PSR.

\(\angle\text{P}+\angle\text{S}+\angle\text{R}=180\)

\(\angle\text{S}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-90\)

\(\angle\text{R}=45^\circ\)

Step 4 - Now, the measure of angle a is calculated as:

\(\angle\text{a}=60-45\)

\(\angle\text{a}=15\)

The measure of angle a is 15 degrees.

For more information on interior angles, refer to the link given below:

https://brainly.com/question/28795639