A builder was building a fence. In the morning, he worked for 25 of an hour. In the afternoon, he worked for 910 of an hour. How many times as long as in the morning did he work in the afternoon?


Write a division equation to represent this situation, then answer the question.

Answer:

[tex]T_{2} = 200[/tex]

Step-by-step explanation:

Given

Geometry Progression

[tex]T_1 = 500[/tex]

[tex]T_4 = 32[/tex]

Required

Calculate the second term

First, we need to write out the formula to calculate the nth term of a GP

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

For first term: Tn = 500 and n = 1

[tex]500 = ar^{1-1}[/tex]

[tex]500 = ar^{0}[/tex]

[tex]500 = a[/tex]

[tex]a = 500[/tex]

For fought term: Tn = 32 and n = 4

[tex]32 = ar^{4-1}[/tex]

[tex]32 = ar^3[/tex]

Substitute 500 for a

[tex]32 = 500 * r^3[/tex]

Make r^3 the subject

[tex]r^3 = \frac{32}{500}[/tex]

[tex]r^3 = 0.064[/tex]

Take cube roots

[tex]\sqrt[3]{r^3} = \sqrt[3]{0.064}[/tex]

[tex]r = \sqrt[3]{0.064}[/tex]

[tex]r = 0.4[/tex]

Using:  [tex]T_n = ar^{n-1}[/tex]

[tex]n = 2[/tex]     [tex]r = 0.4[/tex]     and [tex]a = 500[/tex]

[tex]T_{2} = 500 * 0.4^{2-1}[/tex]

[tex]T_{2} = 500 * 0.4^1[/tex]

[tex]T_{2} = 500 * 0.4[/tex]

[tex]T_{2} = 200[/tex]

Hence, the second term is 200

Answer:

12 hours

Step-by-step explanation:

Answer:

12 hours

Step-by-step explanation:

Answer:

10 meters per sec

Step-by-step explanation:

Answer:

10 meters per seconds.

Step-by-step explanation:

Answer: y = -1x + 3

Step-by-step explanation:

it's going through the y intercept ( 3 )

and down ( negative by 1 )

you can also write the answer as y = -x + 3

either one, its the same.

Answer:

2 bonus stars

Step-by-step explanation:

0.04 million= 40,000

40000/1701= 23.5

23.5(3)= 70.5

70.5/33= 2 stars

Answer:

B

Step-by-step explanation:

First, let's rearrange the given equation into something more recognizable. If we add 13 to both sides, we now have the polynomial [tex]x^{2}-10x+13[/tex]. We can now use the quadratic formula to solve.

Remember that the quadratic formula is

[tex]\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}[/tex]

Substitute the numbers from the equation into the formula.

[tex]\frac{-(-10)+/-\sqrt{(-10)^{2}-4(1)(13) } }{2(1)}[/tex]

Simplify:

[tex]\frac{10+/-\sqrt{100-52} }{2}[/tex]

[tex]\frac{10+/-\sqrt{48} }{2}[/tex]

Here, I'm going to assume that there was a mistype in option B because if we divide out the 2 we end up with [tex]5+/-\sqrt{48}[/tex].

Hope this helps!

Answer:

y = 3/4x + 6

Step-by-step explanation:

Answer:

Fraction of composite numbers = 6/10

Fraction of prime numbers = 4/10

Step-by-step explanation:

A composite number can be defined as a positive integer that will be formed when we multiply two smaller positive integers. It can also be said to be a positive integer that has at least one divisor of which 1 and itself are not included.

Thus, it means that the set of numbers given to us which is;

(11, 12, 13, 14, 15, 16, 17, 18, 19, 20), the composite numbers are;

12, 14, 15, 16, 18, 20

This is because each of them have at least one divisor that is neither itself or 1.

Thus, we have 6 out of the 10 numbers as composite.

Fraction of composite numbers = 6/10

Now, a prime number is a number that are only divisible by itself and 1.

Thus,from the given set, the prime numbers are; 11, 13, 17 & 19

We have 4 out of 10 numbers as prime numbers.

Thus, fraction of prime numbers = 4/10

Answer:

If 3 letters are picked from the word 'PROBABILITY', the chances of it being P is 33.33%.

Hope this helps and if you could mark me as brainliest. Thanks!

Answer:

1 750 g

Step-by-step explanation:

hhhahahahahahahaha

Answer:

[tex]f(x)=-\frac{1}{12}(x-3)^2(x+2)^2(x-4)[/tex]

Step-by-step explanation:

The standard form for a polynomial equation in its factored form is:

[tex]f(x)=a(x-p)(x-q)...[/tex]

Where p and q are the zeros and a is the leading coefficient.

We know that the degree of the polynomial is 5.

We are also given roots at x=3 and x=-2. Hence, our factors are (x-3) and (x+2).

These have a multiplicity of two, so we will square them.

We also know that there is a root at x=4. Hence, the factor is (x-4). This has a multiplicity of 1.

Therefore, our polynomial is now:

[tex]f(x)=a(x-3)^2(x+2)^2(x-4)[/tex]

We know that the y-intercept is 12. Therefore, if we substitute in 0 for x, we should get 12 for y. Here, we are solving for our a. Therefore:

[tex]12=a(0-3)^2(0+2)^2(0-4)[/tex]

Evaluate:

[tex]12=a(9)(4)(-4)[/tex]

Evaluate:

[tex]-144a=12[/tex]

Divide both sides by -144:

[tex]a=-1/12[/tex]

Hence, our entire polynomial is:

[tex]f(x)=-\frac{1}{12}(x-3)^2(x+2)^2(x-4)[/tex]

Answer:

8.4 hours

Step-by-step explanation:

Given that:

Speed of asteroid = 55000 miles/hr

Distance traveled by asteroid = 4.62 [tex]\times[/tex] [tex]10^5[/tex] miles

We are required to find here how many hours the asteroid will take to travel the given distance with the given speed.

Formula for speed can be given as following:

[tex]Speed = \dfrac{Distance}{Time}[/tex]

OR, the formula for time in terms of speed and distance can be given as following:

[tex]Time= \dfrac{Distance}{Speed}[/tex]

Putting the given values in the formula to find the Time:

[tex]Time= \dfrac{4.62\times 10^5}{55000}\\\Rightarrow \bold{Time = 8.4\ hours}[/tex]

Answer:

125 boys, 90 girls and 20 adults

Step-by-step explanation:

Let the number of boys be x

Let the number of girls be y

Let the number of adults be z

If there are 235 people at the summer camp, then;

x + y+ z = 235 ..... 1

If there are 35 more boys than girls, then;

x = y + 35 .... 2

If there are 70 fewer adults than girls then;

y = z - 70

z = y - 70....3

Substitute 2 and 3 into 1;

x + y+ z = 235 ..

(y+35)+y+(y-70) =235

3y -35 = 235

3y = 270

3y/3 = 270/3

y = 90

Since x = y + 35

x = 90 + 35

x = 125

Also z = y - 70

z = 90+70

z = 20

There are 125 boys, 90 girls and 20 adults

Answer:

There are 90 girls, 125 boys, and 20 adults.

Step-by-step explanation:

Let x be the number of girls. How many boys were there?

x + 35

How many adults were there?

x - 70

We know that 235 people are at RSM summer camp. Use this to make an equation.

x + (x + 35) + (x - 70) = 235

x + x + 35 + x - 70 = 235

3x - 35 = 235

3x - 35 + 35 = 235 + 35

3x = 270

3x ÷ 3 = 270 ÷ 3

x = 90

x, x + 35, x - 70

90, 125, 20

Answer:

0.05

Step-by-step explana

Answer:

to get a green and pink it would be 24

i cant find find the special edit sorry

Step-by-step explanation:

9514 1404 393

Answer:

  101 feet

Step-by-step explanation:

Multiply the number of boards by the length of the boards, and add the products.

  2(12 3/4) +4(13 5/8) +2(10 1/2) = 25 1/2 +54 1/2 +21 = 101

The total length of the boards is 101 feet.

Answer:

- 5/6

- 1/3

Step-by-step explanation:

Answer:

A and F

Step-by-step explanation:

5/6 and 1/3

Answer: 3.082185x^2

Step-by-step explanation: Find the exact value using trigonometric identities

Answer:

25 miles

pls tell if I'm wrong

Answer:

6/27

Step-by-step explanation:

[tex]4 \frac{3}{6} \\ \\ = \frac{4 \times 6 + 3}{6} \\ \\ = \frac{24 + 3}{6} \\ \\ 4 \frac{3}{6} = \frac{27}{6} \\ \\ reciprocal \: of \: 4 \frac{3}{6} = \frac{6}{27} [/tex]

Answer:

-0.391 < x < 0.391

Step-by-step explanation:

The Maclaurin series for cosine is:

cos(x) = ∑ (-1)ⁿ x²ⁿ / (2n)!

So the next term would be -x⁶/6!.  When the absolute value of this is less than the error:

│-x⁶/6!│< 0.000005

x⁶ / 720 < 0.000005

x⁶ < 0.0036

-0.391 < x < 0.391

Answer:

x=1

You solve for x by cross multyplying

Step-by-step explanation:

[tex]\sf{ 2 |{\underline{84,102,100}}}[/tex]

[tex]\sf{ 2|{\underline{42,51,50}}}[/tex]

[tex]\sf {3|{\underline{21,17,25}}}[/tex]

[tex]\sf {5|{\underline{7,17,25}}}[/tex]

[tex]\sf {\:\:{7,17,5}}[/tex]

Answer:

Step-by-step explanation:

6.7578 *x = 13 divide both sides by 6.7578

[tex]\frac{6.7578}{6.7578} *x = \frac{13}{6.7578}[/tex]

x= 1.923

Answer:

The length would be l=3.46

Step-by-step explanation:

Answer:

5?

Step-by-step explanation:

Answer:

D: Reject the claim that the percentage of children who suffer from the disorder is equal to 10% when that percentage is actually 10%.

Step-by-step explanation:

In statistics, type I error is when we reject the null hypothesis even when it is true.

Now, the claim which is the null hypothesis is that that 10 % of children suffer from a certain disorder.

This means that a type I error will be;

Reject the claim that the percentage of children who suffer from the disorder is equal to 10% when that percentage is actually 10%.

Answer:

given, y≥2x+1 and

y>

2

1

x−1

first, draw the graph for equations y=2x+1 and y=

2

1

x−1

for y=2x+1

substitute y=0 we get, 2x+1=0⟹x=−0.5

substitute x=0 we get, y=1

therefore, y=2x+1 line passes through (0.5,0) and (0,1) as shown in fig.

Hence, y≥2x+1 includes the region above the line.

for y=

2

1

x−1

substitute y=0 we get,

2

1

x−1=0⟹x=2

substitute x=0 we get, y=−1

therefore, y=2x+1 line passes through (2,0) and (0,-1) as shown in fig.

Hence, y>

2

1

x−1 includes the region above the line.

the intersection region is the shaded region as shown in above figure which includes I, II and III quadrants.

Therefore, quadrant IV has no solution please make as brainlelist

Answer:

The awnser is D

Step-by-step explanation:

Edge 2020!

The loan option that has a 30 year period with the maximum down

payment the Williams can afford as well as a low rate is recommended.

Response:

The given information are:

The amount at which the Williams are buying the house = $323,000

Percentage of down payment he can afford = 10%

Required:

The loan with the lowest monthly payment.

Solution:

The lowest fixed monthly payment is given by the loans that have the

longest period in which to pay back the loan, which includes the options;

b. 30 year FHA, 3.5% down at a fixed rate of 6.25%

c. 30 year fixed, 20% down at a fixed rate of 5.75%

d. 30 year fixed, 10% down at a fixed rate of 6%

Given that the Williams can afford a 10% down payment, option b. and

option c are the possible options.

The interest rate for option b is higher and option b has a lower down

payment than the interest rate and down payment for option c.

Therefore;

The option that has the overall lowest monthly payment is option d.

Learn more about monthly payment for a loan here:

https://brainly.com/question/2371137