Find the equation of the line that passes through points a and B. A(1 ,7) B(-3,-1)

Answer:

A, B, D, F

Step-by-step explanation:

Given expression: [tex]8^{\frac23}[/tex]

Apply exponent rule [tex]a^{bc}=(a^b)^c[/tex]

[tex]\implies 8^{\frac23}=(8^2)^{\frac13}[/tex]

Apply exponent rule [tex]a^{\frac{1}{n}}=\sqrt[n]{a}[/tex]

[tex]\implies (8^2)^{\frac13}=\sqrt[3]{8^2}[/tex]

Therefore, option A

Apply exponent rule [tex]a^{bc}=(a^b)^c[/tex]

[tex]\implies 8^{\frac23}=(8^{\frac13})^2[/tex]

Apply exponent rule [tex]a^{\frac{1}{n}}=\sqrt[n]{a}[/tex]

[tex]\implies (8^{\frac13})^2=(\sqrt[3]{8})^2[/tex]

Therefore, option B

Apply exponent rule [tex]a^{bc}=(a^b)^c[/tex]

[tex]\implies 8^{\frac23}=(8^{\frac13})^2[/tex]

As [tex]8^{\frac13}=2[/tex]

[tex]\implies (8^{\frac13})^2=2^2[/tex]

Therefore, option D

Apply exponent rule [tex]a^{bc}=(a^b)^c[/tex]

[tex]\implies 8^{\frac23}=(8^{\frac13})^2[/tex]

As [tex]8^{\frac13}=2[/tex]

[tex]\implies (8^{\frac13})^2=2^2[/tex]

[tex]\implies 2^2=4[/tex]

Therefore, option F

Answer:

bottom left. (arrow shaped)

Step-by-step explanation:

congruent shapes are the same size and shape

Answer:

just remove the bracket and write normally so it's 23x+4-5b

Step-by-step explanation:

if you meant something else then let me know

Answer:

The number 1 is a factor of C)all whole numbers.

1 is a factor of all whole numbers.

Every single number, including odd numbers and even numbers, is divisible by 1 (evenly, without any remainders)

Remember, whole numbers include odd numbers, even numbers, and 0.

Hope everything is clear; if you need any more explanation and/or clarification, kindly let me know, and I will comment and/or edit my answer.

Answer:

Step-by-step explanation:

To get good at math is to pay attention to the formulas and quiz yourself with what ever your learning over and over until you get it.

Answer:

Step-by-step explanation:

A number w minus 3 (w - 3) is less than or equal (≤) to 10

w - 3 ≤ 10

   + 3  + 3

w ≤ 13

Hope this helps!

Answer:

d = 3

Step-by-step explanation:

According the figure:

Answer Check Below:

⇒ 10 + 3 = 13

⇒ 13 + 3 = 16

⇒ 16 + 3 = 19

Answer:

$3

Step-by-step explanation:

Rewrite 2 1/8 as 17/8

Now subtract:

17/8 - 6/8 = 11/8 = 1 3/8

answer : 1 3/8 miles left

Answer:

Step-by-step explanation:

Answer:

First, find the time when Jackie and her friend meet.

Using:

[tex]\sf s=ut+\dfrac12at^2[/tex]

where:

Jackie and her friend are not accelerating, so a = 0, which means the formula can be reduced to:

[tex]\sf s=ut[/tex]

Create equations

Jackie:  [tex]\sf s_1= 3t[/tex]

Friend:  [tex]\sf s_2 = 12t[/tex]

As the distance covered by Jackie and her friend at the time they meet equals 3 miles:

[tex]\sf s_1+s_2=3 \ miles[/tex]

[tex]\sf \implies 3t + 12t = 3[/tex]

[tex]\sf \implies 15t = 3[/tex]

[tex]\sf \implies t = 0.2 \ hr[/tex]

[tex]\sf \implies t=0.2 \times 60=12 \ mins[/tex]

Therefore, they meet 12 mins after they both start moving.

3 mph = 3 ÷ 60 = 0.05 miles per min

12 mph = 12 ÷ 60 = 0.2 miles per min

Therefore,

Jackie traveled:  0.05 x 12 = 0.6 miles

Her friend traveled: 0.2 x 12 = 2.4 miles

when they meet.

To find the speed Jackie's brother must walk to catch up with her at the same time she meets her friend, use s = 0.6 miles (as this is the distance Jackie walked) and t = 12 - 4 = 8 mins (since he left 4 mins after Jackie left):

[tex]\sf s=ut[/tex]

[tex]\sf \implies u = \dfrac{s}{t}[/tex]

[tex]\implies \sf u = \dfrac{0.6}{8}[/tex]

[tex]\implies \sf u = 0.075 \ miles \ per \ min[/tex]

[tex]\sf \implies u = 0.075 \times 60 = 4.5 \ mph[/tex]

So Jackie's brother needs to walk faster than 4.5 mph to catch up with Jackie before she meets her friend.

(If he walks at 4.5 mph, he will catch up to Jackie at the instant she meets her friend.  If he walks slower than 4.5 mph, he will not catch up with Jackie before she meets her friend).

Answer:

Alex = No B.

Step-by-step explanation:

1) Use Quotient Rule: [tex]\frac{x^{a} }{x^{b} } =x^{a-b}[/tex]

[tex]n^{1-3}[/tex]

2) Simplify 1 - 3 = 2

[tex]n^{-2}[/tex]

3) Use Negative Power Rule: [tex]x^{-a} =\frac{1}{x^{a} }[/tex]

[tex]\frac{1}{n^{2} }[/tex]

[tex] \frac{10}{10 {}^{ \frac{3}{4} } } = 10 {}^{1 - \frac{3}{4} } = 10 { }^{ \frac{4 - 3}{4} } [/tex]

[tex]10 {}^{ \frac{ 1}{4} } [/tex]

Answer: B and D

Step-by-step explanation:

Edge 2023

Answer:

5/9

Step-by-step explanation:

What we have here is the reciprocal of (9/5).  Inverting (9/5) results in (5/9), which is the desired result.

$3299.62

total money he will have : $13,123.62

Answer:

Interest = $3,299.64 (nearest cent)

Step-by-step explanation:

Compound interest formula:  [tex]\sf I=P(1+\frac{r}{n})^{nt}-P[/tex]

where:

Given:

Substituting given values into the formula and solving for I:

[tex]\sf \implies I=9824(1+\frac{0.0362}{365})^{365 \times8}-9824[/tex]

[tex]\sf \implies I=13123.62461-9824[/tex]

[tex]\sf \implies I=3299.62 \ (nearest \ hundredth)[/tex]

Answer:

x=-5

Step-by-step explanation:

3(2x+1)=7x-2

6x+3=7x-2

6x-7x=-2-3

x=-5

3(2x + 1) = 7x-2

3*2x+3*1=7x-2

6x+3=7x-2

6x-7x=-3-2

-1x=-5

x=5

Answer:

first one is b, second one is c

Step-by-step explanation:

3-4x<=11

-4x<=11-3

-4x<=8/:(-4)

x>=-2

Answer:

  A.  {60°, 120°, 420°}

  B.  θ = 15π/4; sec(θ) = √2

Step-by-step explanation:

The sine function is periodic with period 360°, and it is symmetrical about the line θ = 90°. The reference angle for the given value of sin(θ) is ...

  θ = arcsin(√3/2) = 60°

The next larger angle with the same sine is (2×90°) -60° = 120°. Any multiple of 360° added to either one of these angles will give an angle with the same sine. A possible set of 3 angles is ...

  {60°, 120°, 420°}

__

One degree is π/180 radians, so the given angle in radians is ...

  θ = 675° = 675(π/180) radians = 15π/4 radians

This angle has the same trig function values as 7π4, a 4th-quadrant angle with a reference angle of π/4, or 45° The secant of that angle is

  sec(45°) = √2

The 4th-quadrant angle has the same sign, so ...

  sec(675°) = sec(15π/4) = √2

Answer:

9/8 or 1 1/8

Step-by-step explanation:

3*3/8

3/1*3/8

numerator times numerator and denominator times denominator:

3×3/1*8 = 9/8 or 1 1/8

Answer:

D

Step-by-step explanation:

I calculated the area for 54 feet and then for 0.5 feet using the equation [tex]A=\sqrt{\frac{3}{4} }a^{2}[/tex] , where a is the size and then divided first area by second area

Answer:

A lovely answer of : [tex]\sqrt{17}[/tex]

For those of you who use a dark theme : square root of (17)

And a short Explanation:

Use the Pythagorean theorem to find the result

Answer: Its 28.

Step-by-step explanation:

The missing number in the card s 28

Represent the missing number with x.

So, we have:

x, 19, 22 and 31

The mean of a dataset is:

Mean = Sum/Count

So, we have:

25 = (x + 19 + 22 + 31)/4

Multiply both sides by 4

100 = x + 19 + 22 + 31

Evaluate the sum

100 = x + 72

Subtract 72 from both sides

x = 28

Hence, the missing number is 28

Read more about mean at:

https://brainly.com/question/14532771

Answer:

12

Step-by-step explanation:

60% of 30 is 18 (girls)

40% of 30 is 12  (boys)

Answer:

12 boys

Step-by-step explanation:

60% is the same as 6/10, and if you make the denominator 30, you must make the denominator multiply by three as well as the numerator.  this makes the number 18/30 girls in a class. if you subtract the girls from the total number of people, you get 12 boys, or 40% of the class.

you can also find that 100% - 60% = 40%, which is equal is equal to 4/10. After it's multiplied by 3 again, it becomes 12/30 or 12 boys.

Answer:

B and E

Step-by-step explanation:

E is 3/4 8 times (this is just simple multiplication) and B is 3/4 8 times just shorter. Simplified if you will.

Answer:

so here we minus 5 from 255 to get to 250 and we do it again to get to 245. for reaching the 40th term we should do it 39 times.

so, 255+ (-5) (39) = 255 - 195 = 60

which is our 40th term.

The 40th term of  (255, 250, 245...) is 60.

Calculations :

The formula to find the nth term = [tex]a_{n}[/tex]  =  -5n + 260

                                                      = [tex]a_{40}[/tex] x 5n = 260

                                                      = 260 - 200 = 60

Learn more about Arithmetic progression refer :

https://brainly.com/question/24191546

#SPJ2

It will be around 1.6metres

hope it helps

Answer:

1.65 meters

Step-by-step explanation:

1 ft = 0.3048 meters

just multiply

Answer:

Step-by-step explanation:

Given equation for sum of the first n terms

Using the equation solve the following

The first term [tex]t_1[/tex], is same as the sum of the first 1 term, so n = 1

Sum of the first 2 terms, when n = 2

Common difference is the difference between two consequitive terms.

First, find the second term:

Now find the difference between the first two terms:

We need to find such n that [tex]S_n[/tex] = - 30

So the answer is 6

Simplifying in steps as below