You have five pieces of wood. The lengths of these are shown below.
325 cm
4.04 m
73 cm
1.6 m
2.87 m

What is the total length of the wood?
​

Answer:

y = -x/2 -1/2

Step-by-step explanation:

[tex]x + 2y + 1 = 0\\[/tex]

Write in the y=mx+b form

[tex]2y =-x-1+0\\2y =-x-1[/tex]

Divide both sides by 2

[tex]\frac{2y}{2} =\frac{-1x}{2} -\frac{1}{2} \\\\y = -\frac{x}{2} -\frac{1}{2}[/tex]

Answer:

Premium

Step-by-step explanation:

took the test on Edge

The $75 payment that Nelson must make each month after buying the Car is called; A: Premium

Insurance Premium is defined as the amount of money that one will have to pay for an insurance contract. The insurance premium simply represents the income of the insurance company concerned.

Now, the amount of premium paid for different insurance  policies usually differs depending on a number of factors. However, the greater the risks associated with an insurance policy, the higher the premium that will be paid.

Since Nelson must make $75 payment each month, then that is referred to as the Premium.

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Answer:

Step-by-step explanation:

Other trigonometry identities that we have includes cosθ, sinθ, tanθ, secθ, cosecθ

cosecθ = 1/sinθ

Given cotθ=-1/3 and  sinθ<0, this means that θ falls in the 4th quadrant.

cotθ= 1/tanθ = -1/3

tanθ = -3/1

Since tanθ = opposite/adjacent = -3/1

opposite = -3

adjacent = 1

Using pythagoras theorem to get the hypotenuse, hyp² = opp²+adj²

hyp² = (-3)²+1²

hyp = √9+1

hyp = √10

cosθ = adjacent/hypotenuse = 1/√10

sinθ  = opp/hyp = -3/√10

cosecθ = 1/sinθ = 1/(-3/√10)

cosecθ = -√10/3

secθ = 1/cosθ

secθ = 1/(1/√10)

secθ = 1*√10/1

secθ = √10

Answer:6858

Step-by-step explanation:

Answer:

6.5=.065

Step-by-step explanation:

im assuming this is 6.5/100

hope this helps :)

Step-by-step explanation:

4x + 5y = 9

-11x - 9y = -20

solution

5y = 4x - 9

divide both side by 5

5y = 4x - 9

5 5

5 cancel at the L.H.S

y = 4x-9

5

insert the value of y in equation ii above

-11x -9(4x-9) = -20

5

-11x - 36x-81 = -20

5

cross multiply at the RHS

-11x- 36x-81 = -100

-47x-81 = -100

-47x = -100+81

-47x = -19

divide both side by -47

-47x = -19

-47 -47

x =

Answer:

Step-by-step explanation:45x90

Answer: $787.65

explanation:

(17.70)(40) = $708

17.70 x 1.5 = 26.55

(3)(26.55) = $79.65

$708 + $79.65 = 787.65

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{6 {x}^{2} + 23x + 20}}}}}[/tex]

Option A is the correct option.

Step-by-step explanation:

[tex] \sf{(2x + 5)(3x + 4)}[/tex]

Use the distributive property to multiply each term of the first binomial by each term of the second binomial

⇒[tex] \sf{2x(3x + 4) + 5(3x + 4)}[/tex]

⇒[tex] \sf{6 {x}^{2} + 8x + 15x + 20}[/tex]

Collect like terms

⇒[tex] \sf{6 {x}^{2} + 23x + 20}[/tex]

Hope I helped !

Best regards!!

Answer: b=20

Step-by-step explanation:

Subsitute a for 20.

b=20/4-3

b=20/1

b=20

Answer:

pretty positive it’s 2

Step-by-step explanation:

if a=20 then you’d use pemdas so 20/4=5 then 5-3=2 so b=2

The equation that could be used to determine the time, t, it takes to run 10,000 meters as a function of the average speed, s, of the runner where t is in minutes and s in miles per minute is t = 6.2/s miles/minute

Average speed is defined as the rate of change in distance of a body. Mathematically;

Given the distance of the runner in miles to be;

To express t in terms of the average speed s and distance of 6.2miles, we will substitute the values into the formula;

Substituting D = 6.2miles into the formula;

Cross multiply

Divide both sides by 's'

st/s = 6.2/s

t = 6.2/s

Hence, the equation that could be used to determine the time, t, it takes to run 10,000 meters as a function of the average speed, s, of the runner where t is in minutes and s in miles per minute is t = 6.2/s miles/minute

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Answer:

t = -1

Step-by-step explanation:

8 + 9t - 3 + 4    

Combine like terms

(8 - 3 + 4) + 9t

9 + 9t

9t + 9

Get t by itself

9t + 9 = 0

     -9    -9

9t = -9

Divide both sides by 9 to find t

t = -1

Answer:

41/20

Step-by-step explanation:

Simplify the following:

4/5 + 1/2 + 3/4

Hint: | Put the fractions in 4/5 + 1/2 + 3/4 over a common denominator.

Put 4/5 + 1/2 + 3/4 over the common denominator 20. 4/5 + 1/2 + 3/4 = (4×4)/20 + 10/20 + (5×3)/20:

(4×4)/20 + 10/20 + (5×3)/20

Hint: | Multiply 4 and 4 together.

4×4 = 16:

16/20 + 10/20 + (5×3)/20

Hint: | Multiply 5 and 3 together.

5×3 = 15:

16/20 + 10/20 + 15/20

Hint: | Add the fractions over a common denominator to a single fraction.

16/20 + 10/20 + 15/20 = (16 + 10 + 15)/20:

(16 + 10 + 15)/20

Hint: | Evaluate 16 + 10 + 15 using long addition.

| 1 |  

| 1 | 6

| 1 | 5

+ | 1 | 0

| 4 | 1:

Answer:  41/20

Answer/Step-by-step explanation:

Given:

P(2, 6)

Q(-6, 1)

Required:

a. PQ

b. Coordinate of the midpoint of PQ

SOLUTION:

a. [tex] PQ = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] P(2, 6) = (x_1, y_1) [/tex]

[tex] Q(-6, 1) = (x_2, y_2) [/tex]

[tex] PQ = \sqrt{(-6 - 2)^2 + (1 - 6)^2} [/tex]

[tex] PQ = \sqrt{(-8)^2 + (-5)^2} = \sqrt{64 + 25} [/tex]

[tex] PQ = \sqrt{89} = 3.1 [/tex] (to nearest tenth)

b. Coordinate of the midpoint of PQ

[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]

Let [tex] P(2, 6) = (x_1, y_1) [/tex]

[tex] Q(-6, 1) = (x_2, y_2) [/tex]

Thus:

[tex] M(\frac{2 +(-6)}{2}, \frac{6 + 1}{2}) [/tex]

[tex] M(\frac{-4}{2}, \frac{7}{2}) [/tex]

[tex] M(-2, \frac{7}{2}) [/tex]

The coordinates of the midpoint of PQ are (-2,3.5) and this can be determined by using the midpoint formula.

Given :

Coordinates  --  P(2,6) and Q(-6,1)

The following steps can be used in order to determine the coordinates of the midpoint of PQ:

Step 1 - According, to the given data, the coordinates of point P(2,6) and Q(-6,1).

Step 2 - The formula of midpoint can be used in order to determine the midpoint of PQ.

Step 3 - The midpoint formula is given below:

[tex]\rm x = \dfrac{x_1+x_2}{2}[/tex]

[tex]\rm y = \dfrac{y_1+y_2}{2}[/tex]

Step 4 - Substitute the values of the coordinates in the above formula.

[tex]\rm x = \dfrac{2-6}{2} = -2[/tex]

[tex]\rm y = \dfrac{6+1}{2}=3.5[/tex]

So, the coordinates of the midpoint of PQ are (-2,3.5).

For more information, refer to the link given below:

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Answer:

The answers Outside

Answer:

115°

Step-by-step explanation:

Supplementary angles equal 180.

180-65=115°

Answer:

[tex]\boxed{115}[/tex]

Step-by-step explanation:

Hey there!

Supplementary angles add up to 180º, so we can set up the following.

x = 180 - 65

x = 115º

Hope this helps :)

Answer:

Answer:

A first of all because the sample involves only rock cods that voluntarily get hooked to the fishing rod, this is a major source of bias as the sample does not represent the whole general population.

Rather adopt stratified sampling stratified basing on Geographical location can be suggested for this study.

II. Because convenient sampling is adopted here data is only gotten from students that eat in the hall in a given period of time so this is a source of bias

Also one study center that is the Hall of only one school is used this is also biased and may affect the result of the study

To avoid this bias a simple random sampling where each student have an equal chance of being selected in the study should be adopted

Iii. this study is using convenient samples. and the effect of head ache medicine may be affected by other medicines too so the headache medicine cannot be the only reason for painrelief so it is better to sample rando amongst patients with headache

Answer:

27

Step-by-step explanation:

Answer:

the answer would 13

Step-by-step explanation:

Answer is

1. 8(4+2)

8 × 6 = 48

Answer:

The question is unclear and incomplete.

Let me explain the degrees of freedom in statistics.

Step-by-step explanation:

Statistically, degrees of freedom which is denoted as DF is the number of independent values that can vary in an analysis without breaking any constraints. It can also be referred to as the number of independent values that a statistical analysis can estimate.

Degrees of freedom also define the probability distributions for the test statistics of various hypothesis tests.

The degree of freedom has the formula:

DF = N - 1 where N number of random variables

DF = (R - 1) x (C - 1) Where R is the number of data values and C is the number of groups

Answer:

60 ; 20

B.) 1 hour working on problems, 3 hours reading

Step-by-step explanation:

Given the information :

Time - - - Total problems Answered

8am: - - - - 0

9am: - - - - 80

10am: - - - - 140

11am: - - - - -180

noon: - - - - 200

The marginal, or additional, gain from Ana’s second hour of work, from 9:00 AM to 10:00 AM, is ?

(Total problem answered at 10 a.m - Total problems Answered at 9a.m)

(140 - 80) = 60

The marginal gain from Ana’s fourth hour of work, from 11:00 AM to noon, is ?

(Total problem answered at Noon - Total problems Answered at 11a.m)

(200 - 180) = 20

In other to get the best possible exam score,

Since it is assumed that

Solving 70 problems is equivalent to 1 hour of reading in terms of score improvement

Also, it is assumed that the same number of pages is covered for every hour spent whine reading.

Hence it is only during the first hour, that is (8:00 - 9:00) that she was able to solve above 70 questions (80 - 0). Number of questions solved during subsequent hours were not up to 70, hence it would have been more rewarding if they had been used for reading.

Hence, she should have spent 1 hour working on problems and 3 hours reading

Answer: Statistic.

Step-by-step explanation: Statistic are used to refer to numerical measurement pertaining to a sample. A sample refers to a subset of members chosen from a population, which means a smaller representation of the larger group. Hence, in the scenario above, the population is the entire seniors which makes up the group. While the sample is the subset of seniors drawn from the whole. Hence, statistical measures calculated or derived from the sample is called statistic. Hence, the 25% obtained is a statistic.

Answer:

x=-9, x=1/4

Step-by-step explanation:

Split it into x+9=0 and 4x-1=0.

x+9=0; x=-9

4x-1=0; 4x=1; x=1/4

Answer:

∠EFH = 21°

∠HFG = 62°

∠EFG = 83°

Step-by-step explanation:

The diagram showing the angles has been attached to this response.

From the diagram, it can be deduced that;

Angle EFG = angle EFH + angle HFG

=> ∠EFG = ∠EFH + ∠HFG                -------------------(i)

From the question:

∠EFH = (5x + 1)°                    -------------(ii)

∠HFG = 62°                          -------------(iii)

∠EFG = (18x + 11)°                 -------------(iv)

Substitute these values into equation (i) as follows;

(18x + 11) = (5x + 1) + 62

=> 18x + 11 = 5x + 1 + 62

Collect like terms and solve for x

18x - 5x = 1 + 62 - 11

13x = 52

x = 4

Now, to get each measurement, substitute x = 4 into each of equations (ii) - (iv)

∠EFH = (5x + 1)°

∠EFH = (5(4) + 1)°

∠EFH = (20 + 1)°

∠EFH = 21°

∠HFG = 62°              [Does not depend on x]

∠EFG = (18x + 11)°

∠EFG = (18(4) + 11)°

∠EFG = (72 + 11)°

∠EFG = 83°

Conclusion:

∠EFH = 21°

∠HFG = 62°

∠EFG = 83°

Answer: P = 15/25

Step-by-step explanation:

The set of numbers that we have here is:

{1, 2, 3, 4, 5}

We select independently two numbers of that set (so the numbers can be repeated.

We want to find the probability where the sum of the numbers is less than the product.

if one of the selected numbers is 1, then always the sum will be larger than the product, because:

1*1 = 1 and 1 + 1 = 2

1*2 = 2 and 1 + 2 = 3.

and so on.

if both numbers are 2, the sum is equal to the product:

2*2 = 4 = 2 + 2.

if else, the product will be larger than the product.

The first step now is to calculate the total number of possible combinations of 2 numbers:

For the first number, we have 5 options.

for the second number, we have 5 options.

The total number of combinations is equal to the product of the number of options in each case:

C = 5*5 = 25

Now, the combinations where the product is LESS OR EQUAL than the sum are:

1 and 1

1 and 2

1 and 3

1 and 4

1 and 5.

2 and 1

3 and 1

4 and 1

5 and 1

2 and 2.

10 combinations.

Then the combinations where the product is larger than the sum is:

25 - 10  = 15.

Then the probability that we are looking for is:

P = 15/25

Answer:

[tex] a_n = 16(\frac{1}{4})^{n - 1} [/tex]

Step-by-step explanation:

Given:

Fifth term of a geometric sequence = [tex] \frac{1}{16} [/tex]

Common ratio (r) = ¼

Required:

Formula for the nth term of the geometric sequence

Solution:

Step 1: find the first term of the sequence

Formula for nth term of a geometric sequence = [tex] ar^{n - 1} [/tex], where:

a = first term

r = common ratio = ¼

Thus, we are given the 5th term to be ¹/16, so n here = 5.

Input all these values into the formula to find a, the first term.

[tex] \frac{1}{16} = a*\frac{1}{4}^{5 - 1} [/tex]

[tex] \frac{1}{16} = a*\frac{1}{4}^{4} [/tex]

[tex] \frac{1}{16} = a*\frac{1}{256} [/tex]

[tex] \frac{1}{16} = \frac{a}{256} [/tex]

Cross multiply

[tex] 1*256 = a*16 [/tex]

Divide both sides by 16

[tex] \frac{256}{16} = \frac{16a}{16} [/tex]

[tex] 16 = a [/tex]

[tex] a = 16 [/tex]

Step 2: input the value of a and r to find the nth term formula of the sequence

nth term = [tex] ar^{n - 1} [/tex]

nth term = [tex] 16*\frac{1}{4}^{n - 1} [/tex]

[tex] a_n = 16(\frac{1}{4})^{n - 1} [/tex]

The yearly expense of the in-state college is $16000.

We are given that;

An out-of-state college where the tuition = $7000 per year.

Now,

The yearly expense of the in-state college is:

=5500+12⋅1000

=5500+12000

=17500

By solving;

The yearly expense of the out-of-state college is:

=7000+12⋅750

=7000+9000

=16000

So, on an annual basis, the less expensive choice is the out-of-state​ college.

Therefore, by algebra the answer will be 16000.

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Answer:

4a - 13

Step-by-step explanation:

● 7a - 2a - a - 13

● (7a - 2a - a) -13

● (5a-a) -13

● 4a -13

Answer:

3^5

Step-by-step explanation:

five factors of 3"

This means we have 3 multiplied 5  times

3 *3*3*3*3

3^5