The sum of two numbers is 17. One number is 3 less than
What is the lesser number?

Answer:

P = 16 inches

Step-by-step explanation:

The perimeter is given by

P = 2(l+w)

  = 2(2in+6in)

   = 2 ( 8in)

   = 16 in

Answer:

see below

Step-by-step explanation:

The two angles are complementary so the sum is 90 degrees

7a+12 + 12+a = 90

Combine like terms

8a +24 = 90

Either equation would work to describe the relationship

Use the slope-intercept form to find the slope and y-intercept.

Slope: 0

y-intercept: 1.5

Answer:

x=14°

Step-by-step explanation:

(6x + 2°) + (8x + 6°) + (7x + 4°) = 180°

21x + 12° = 180°

21x = 168°

x=14°

Answer:

Step-by-step explanation:

Vertically opposite angles are equal.

∠3 = ∠1

4x = x + 54

Subtract x form both sides

4x - x = x + 54 - x

3x = 54

Divide both sides by 3

3x/3 = 54/3

x = 18

∠1 = x + 54 = 18 + 54 = 72°

4) EFC is straight line

∠CFB +∠BFA +∠AFE = 180°

6x + 2 + 8x + 6 + 7x +4  = 180

6x+ 8x + 7x + 2 + 6 + 4= 180

21x + 12 = 180

21x = 180 - 12

21x = 168

x = 168/21

x = 8

Answer:

[tex]\sum ^{20} _{n \to \11} 4n[/tex]

Step-by-step explanation:

In order to write the series using the summation notation, first we need to find the nth term of the sequence formed. The sequence generated by the series is an arithmetic sequence as shown;

4, 8, 12, 16, 20...80

The nth term of an arithmetic sequence is expressed as Tn = a +(n-1)d

a is the first term = 4

d is the common difference = 21-8 = 8-4 = 4

n is the number of terms

On substituting, Tn = 4+(n-1)4

Tn = 4+4n-4

Tn = 4n

The nth term of the series is 4n.

Since the last term is 80, L = 4n

80 = 4n

n = 80/4

n = 20

This shows that the total number of terms in the sequence is 20

According to the series given 4 + 8 + 12 + 16 + 20+ . . . + 80 , we are to take the sum of the first 20terms of the sequence. Using summation notation;

4 + 8 + 12 + 16 + 20+ . . . + 80  = [tex]\sum ^{20} _{n \to \11} 4n[/tex]

The series 4 + 8 + 12 + 16 + 20 + ... + 80 can be expressed in summation notation as Σ[4 + (i - 1) × 4] for i = 1 to 20.

To write the series 4 + 8 + 12 + 16 + 20 + ... + 80 using summation notation, we first identify that it is an arithmetic series. An arithmetic series is a sequence of numbers in which the difference between consecutive terms is constant.

The given series: 4, 8, 12, 16, 20, ..., 80

We can observe that the common difference (d) is 4, and the first term (a) is 4. The nth term of an arithmetic series can be given by:

a + (n-1)d

Here, the nth term is 80. Setting up the equation for the nth term:

4 + (n-1)4 = 80

Simplifying this equation:

4 + 4n - 4 = 804n = 80n = 20

Thus, the series has 20 terms. We can write the series in summation notation as follows:

Σ[4 + (i - 1) × 4] for i = 1 to 20

To find the sum of this arithmetic series, we use the formula for the sum of an arithmetic series:

Sum = n/2 × (first term + last term)

Here, first term (a1) = 4, last term (an) = 80, and n = 20. So,

Sum = 20/2 × (4 + 80) = 10 × 84 = 840

Therefore, the summation notation for the series is Σ[4 + (i - 1) × 4] for i = 1 to 20, and its sum is 840.

Answer:

B - 18%

Step-by-step explanation:

Answer:

here are some notes to help

Answer: 1) Check if the inputs and outputs doesn't fail the vertical line test. 2) Check if every input has exactly on output. 3) Check if is a linear function.

Step-by-step explanation:

Trctdtrc Tdctdctdctdcrdcrsxrdxrsxrsxrdxrsxrdc

Step-by-step explanation:

Answer:

6.5 cm

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh where b is the base and h is the height

26 = 1/2 (8) *h

26 = 4h

Divide each side by 4

26/4 = 4h/4

6.5 = h

Answer:

6.5 cm

Step-by-step explanation:

Area = ½ × base × height

26 = ½ × 8 × height

26 = 4height

height = 6.5 cm

Answer:

700 teens

Step-by-step explanation:

If five out of 7 teens do homework every night

There are 980 teens

How many out of 980 teens would do homework every night?

Firstly divide 980 teens by 7

Which is 980/7=140

Next is,

Out of 7 teens, there are 5 who do homework every night

So, multiply 140 by 5

140×5=700 teens

This means, the reasonable prediction of teens who do homework every night out of 980 is 700 teens

The predicted number of teens who would do homework every night out of 980 is approximately 700 based on the given information.

To predict the number of teens out of 980 who would do homework every night based on the given information that five out of seven teens do homework every night, we can follow these steps:
1. Calculate the proportion of teens who do homework every night:
- Proportion = 5 / 7
2. Determine the expected number of teens out of 980 who would do homework every night:
- Expected number = Proportion * 980
3. Substitute the proportion value to find the expected number:
- Expected number = (5 / 7) * 980
4. Calculate the expected number:
- Expected number = (5 * 980) / 7
5. Simplify the expression:
- Expected number = 700
6. Finally, the predicted number of teens who would do homework every night out of 980 is approximately 700 based on the given information.

Answer:

Probability of both digits being the same is a likely outcome (A) and;

The first digit is greater than the second digit is equally likely as the first digit less than the second digit (C)

Step-by-step explanation:

Question:

Ross forms all two-digit whole numbers using digits 1, 2, and 3. He allows digits to repeat. Select statement(s) that are CORRECT. *

a) probability of both digits being the same is a likely outcome

b) the probability that a number includes the digit 2 only once is 5/9

c) The first digit is greater than the second digit is equally likely as the first digit less than the second digit

d) 23 is an unlikely outcome

SOLUTION

Find attached how I got the value combination.

Forming a two-digit whole number with digit 1,2 and 3 where repetition is allowed:

11, 12, 13, 21, 22, 23, 31, 32, 33

Let's check which of the options are correct.

a) Is probability of both digits being the same is a likely outcome?

From the numbers we got: 11, 22 and 33 have both digits the same.

Yes, the probability is a likely outcome

Option A is correct

b) Let the probability that a number includes the digit 2 only once = Pr( 2 only once)

Pr( 2 only once) = (digits which have number 2 once / total number)

12, 21, 23, 32

Digits which have number 2 once = 4

Total = 9

Pr( 2 only once) = 4/9

4/9 is not same as 5/9

So option B is wrong

c)The first digit is greater than the second digit = 21, 31, 32 = 3 in total

the first digit less than the second digit = 12, 13, 23 = 3 in total

Yes, they are equal in number

Option C is correct

d) 23 is a likely outcome

Option D is wrong

Answer:

The Civil Rights Act of 1964, which ended segregation in public places and banned employment discrimination on the basis of race, color, religion, sex or national origin, is considered one of the crowning legislative achievements of the civil rights movement

Step-by-step explanation:

Answer:

2250 People

Step-by-step explanation:

P=Total population

P=2000(1+.04)^3years

P=2249.728

P=2250

Answer:

1st picture:

1st case: two triangles are similar (AAA), not congruent

2nd case: two triangles are congruent (SAS)

2nd picture:

both cases satisfy: two triangles are congruent (ASA)

3rd picture:

1st case: two triangles are congruent (SAS)

2nd case: neither congruent or similar

Hope this helps!

:)

Answer:

Step-by-step explanation:

[tex]slope~of~line~PQ=\frac{11-6}{9-7}=\frac{5}{2}\\slope~of~line~RS,~m2=\frac{4-9}{7-5}=-\frac{5}{2} \\m1 \times m2=\frac{5}{2} \times -\frac{5}{2} =-\frac{25}{4} \neq -1[/tex]

so lines are not perpendicular.

We have been given that the population of a town was 500 in 2010. The population grows at a rate of 9.6% annually.

We will use exponential growth formula to solve our given problem.

[tex]y=a\cdot (1+r)^x[/tex], where,

y = Final amount,

a = Initial value,

r = Growth rate in decimal form,

x = Time.

Let us convert 9.6% into decimal as:

[tex]9.6\%=\frac{9.6}{100}=0.096[/tex]    

We can see that initial value is 500.

[tex]y=500\cdot (1+0.096)^x[/tex]

[tex]y=500\cdot (1.096)^x[/tex]

Therefore, the equation [tex]P(t)=500\cdot (1.096)^t[/tex] represents the population t years after 2010.

To find the population of the town in 2020, we will substitute [tex]t=10[/tex] in our equation as:

[tex]P(10)=500\cdot (1.096)^{10}[/tex]

[tex]P(10)=500\cdot (2.5009530650806592)[/tex]

[tex]P(10)=1250.4765325403296\approx 1250[/tex]

Therefore, the population of the town would be approximately 1250 in 2020.

Recruitment has the GREATEST impact on raising labor productivity Because it is talking about labor productivity specifically. thus option D is correct.

Productivity is a measure of the amount of output produced by a given amount of inputs in a specific period of time.

Average Product of labor - It is the total output that a firm produces divided by the amount of workers required to produce that output.

Marginal Product of Labor - It is the additional output produced by a firm because of hiring extra workers .

Recruitment has the GREATEST impact on raising labor productivity Because it is talking about labor productivity specifically.

Hence, the option D is correct.

Learn more about the Productivity here;

https://brainly.com/question/15400721

#SPJ2

Answer:

Step-by-step explanation:

The system of equation to be graphed is the following :

f(x) = Log_0.5 x

f(x) = Log_{3} (2 + x)

And the solution is the intersection point of the two graphs.

Check attachment for point of intersection.

Answer:

y1 = (Log x)/(Log 0.5)

y2 = [(Log 2)/(Log 3)] + x

Option D

Step-by-step explanation:

We are given;

Log_0.5_x = (Log_3_2) + x

To solve the equation graphically, we have to plot the graphs of these two functions and find the point of intersection of these graphs.

Using: log_a b = log b / log a

1) a = x, b=0.5

So, y1 = log0.5 x

Which gives; y1= (log x)/(log0.5)

2) a=2, b=3

So, y2 = (log_3 2) + x

So, y2 = (log 2 / log 3) +x

Hence, appropriate system is;

y1 = (Log x)/(Log 0.5)

And y2 = [(Log 2)/(Log 3)] + x

Looking at the options in the image attached, the correct solution that corresponds to our answer is Option D

Answer:

14

Step-by-step explanation:

Answer:

Im Sure there is 10 different combinations.

Step-by-step explanation:

The correct answer of A. B. and C. was

B. If it isn't then my calculations are wrong.

Answer:

D

Step-by-step explanation:

Answer: D. 151 degrees.

Step-by-step explanation:

To solve this, first find the interior angle measures of the triangle. We know that it is a right triangle, so the right angle is 90 degrees, and the second angle is 61 degrees.

180 - 90 - 61 = 29 degrees.

Looking at the attached diagram - you can treat the angles surrounding s and 29 as a circle. There are 360 degrees in a circle, so the angle measures in the circle must add up to 360.

We also know that the angle directly opposite the triangle's 29 degree measure is also 29 degrees, so we can make an equation based on this information:

[tex]360 = 2(29) + 2(s)[/tex]

Solve for s:

[tex]360 = 2(29) + 2(s)\\360 = 58 + 2s\\302 = 2s\\s = 151[/tex]

S is equal to 151 degrees.

Step-by-step explanation:

The product of the original numbers: xy

The product of the altered numbers (.75x)(.5y), or 0.375xy

The product has decreased by 1 - 0.375, or 0.625, or 62.5%

Answer:

Original product:

P1 = a x b

Decreased product:

P2 = a x (100 - 20)/100 x b x (100 - 60)

    = a x b x 80/100 x 40/100

    = a x b x 8/25

=> P1/P2 = 8/25

or

P1 is decreased by: 1 - 8/25 = 17/25 = 68%

Hope this helps!

:)

Answer:

C. x = 6

Step-by-step explanation:

You are solving for x. Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First subtract 4 from both sides:

2x + 4 (-4) = 16 (-4)

2x = 16 - 4

2x = 12

Next, isolate the variable, x. Divide 2 from both sides:

(2x)/2 = (12)/2

x = 12/2

x = 6

C. x = 6 is your answer.

~

Answer:

A.   2,552,129 m^3.

Step-by-step explanation:

Volume of a pyramid = 1/3 * height * area of the square base

=  1/3 * 146 * 229^2

= 2552129 m^3.

In the first one he drove about 0.5 miles per second and in the second one he drove about 0.07 miles per second so it gives you about 0.285 i believe