Which expression is equivalent to
(5 ^-2) (5^-1)?

Answer:

Correct Answer is E

Step-by-step explanation:

If B rate and C rate should subtract each other which rules out answers A and B

hence making the total trip would be ~3 hours so answer E adding the rates would be the correct Answer.

Answer:

See below for answers and explanations

Step-by-step explanation:

Recall that [tex]tan\theta=\frac{opposite}{adjacent}[/tex]

Therefore, [tex]tanA=\frac{opposite}{adjacent}=\frac{7}{24}[/tex] and [tex]tanB=\frac{opposite}{adjacent}=\frac{24}{25}[/tex]

Answer:

40 degrees

Step-by-step explanation:

Since we have the diameter included in the triangle, the angle at B is 90

This is because angle at center is two times the angle at the circumference

Since we have the diameter, the angle at the center will be 180 degrees so the angle A at the circumference will be 90 degrees

Now, let us use the measure of the arc given

The angle at C is half of 100 which makes it 50

This is according to an angle arc relationship

Lastly, the sum of angles in a triangle is 180 degrees

We already have two angles and we need the last

so we have to add what we have already and subtract from 180 to get the angle we are looking for

So we have the angle as 180-(90 + 50) = 180 -140 = 40

Answer:

5

Step-by-step explanation:

To get the area of a rectangle, you just multiply the width * Length. Since you already have one of the dimensions, then just do the oppositie of multiplication by dividing. So you would do 40/8 = 5.

Answer:

5 in

Step-by-step explanation:

The formula for the area of a rectangle of length L and width W is A = L*W.

Here, A = 40 in^2 = (8 in)x, so that

x = (40 in^2) / (8 in) = 5 in

Answer:  Choice B

Step-by-step explanation:

V = 4 pi * r^3 / 3

V = 4 (3.14) * 8^3 / 3

V = 12.56 * 512 / 3

V = 12.56 * 170.66

V = 2,143.57 cm^3

Hope this helped!  Please give brainliest.

Answer:

y = 2(31x + 336)

Step-by-step explanation:

The surface area of an open rectangular box of sides, l, w and h is

A = 2lh + 2wh + lw where l = length = x, w = width = 14 in and h = height = 24 in.

Since A = y, we have

y = 2lh + 2wh + lw

y = 2x(24) + 2(24)(14) + x(14)

y = 48x + 672 + 14x

y = 62x + 672

y = 2(31x + 336)

Answer:

5n + 1

Step-by-step explanation:

Increase by 5.

Variable term is 5n.

Number term is +1

5n + 1 :)

Hope this helps!

Answer:

Tn=5n+1

Step-by-step explanation:

T9=5*9+1

T9=45+1

T9=50

Hi there! We are given the expression:

[tex] \large \boxed{5 log_{4}(a) - 6 log_{4}(b) }[/tex]

To condense or simplify the following logarithm. You have to remember these properties:

Properties - Logarithm

[tex] \large{ log_{b}(a)^{n} = n log_{b}(a) } \\ \large{ log_{b}(a) - log_{b}(c) = log_{b}( \frac{a}{c} ) }[/tex]

These two properties are what we need for our problem. Therefore,

[tex] \large{ log_{4}(a)^{5} - log_{4}(b)^{6} }[/tex]

We use the log_b(a)^n = nlog_b(a) property to convert in the form above. Next, we use the second property.

[tex] \large{ log_{4}( \frac{ {a}^{5} }{ {b}^{6} } ) }[/tex]

Answer

Any questions can be asked through comment as I may reply soon. Thanks for using Brainly! Have a good day and happy learning! :)

Answer:

A to D to C to B

Step-by-step explanation:

A to D to C to B only takes 10.5. Everything else takes a longer distance.

Answer:

$353.75

0.05x + 300

Step-by-step explanation:

1075 x 0.05 = 53.75 + 300 = 353.75

0.05x + 300

Answer:

maybe 28 square feet

Step-by-step explanation:

maybe 28 square feet

Answer:

an = 10(3^n-1)

Step-by-step explanation:

The explicit formula of a geometric sequence is written as:

an = ar^n - 1

Where

an = nth term

a = First term

r = common ratio

n = number of terms

Hence, an explicit formula to represent the geometric sequence with a first term of 10 and a common ratio of 3 is written as:

an = 10 × 3^n-1

an = 10(3^n-1)

Answer:

The Median is 0.5

Step-by-step explanation:

Answer:

No, they both have a 2/6 (1/3) chance of spinning blue.

Answer:

yo te AYUDO

Step-by-step explanation:

;)

Answer:

hola yo hablo español :D

Step-by-step explanation:

Answer:

Try 5 first. If that is marked wrong, try 5.07

Step-by-step explanation:

Estimate means put your calculator on the other side of the room. You are to do this in your head.

78 is nearly 80

69 is nearly 70

29 is nearly 30

So now do the question

80 + 70 = 150       because 8 and 7 = 15.

150 / 30 = 50 because 15/3 = 5

So the answer that should be right for this question should be 5

Let's see how close that is.

78 + 69 = 147

147 / 29 = 5.07

9514 1404 393

Answer:

  5

Step-by-step explanation:

To estimate the quotient, round the numerator and denominator, then find the quotient of the rounded numbers.

  (78 +69)/29 ≈ (80 +70)/30 = 150/30 = 5

A good estimate of the quotient is 5.

_____

Additional comment

IMO, an estimate should also be accompanied by an estimate of the error. Here, the numerator is increased by 3 units to get 150, so is about 3/147 ≈ 2% high. The denominator is increased by 1 unit to get 30, so causing the estimate to be approximately 1/29 ≈ 3.3% low. Overall, this means the estimate is on the order of 2% -3.3% = -1.3% from the actual value. That is, it is on the order of 1.3% low. (It is actually about 1.361% low.)

Answer:

16

Step-by-step explanation:

4 + (4 * 2) + [tex]2^{2}[/tex] = y

16 = y

Answer:

x=2,y=16

Step-by-step explanation:

4+4(2)+2^2=y      Put the x value where it belongs

4+8+2^2=y             Now do 2*2 (two to the power of two)

4+8+4=16

16=16

Answer:

[tex]Mode = 74[/tex]

Step-by-step explanation:

Given

See attachment for dataset

Required

The mode

To do this, we simply select the score that has the highest frequency (i.e. the score that appear most)

So, we have:

[tex]Mode = 74[/tex]

Because 74 appears 3 times, while others appear less

Answer:

Its d

Step-by-step explanation:

Its the most commom element in the set

The circumference of a circle is greater than its diameter.

To find the diameter of a circle, multiply its radius by two.

These 2 are correct

Answer:

A and E

Step-by-step explanation:

a part is the d us equal to 2r which is true

and is the same

Answer:

9 inches

Step-by-step explanation:

(x + 2)² = 121

√(x + 2)² = √121

x + 2 = 11

x + 2 - 2 = 11 - 2

x = 9

Answer:

fifth option is the correct ans

sin(thita) = -sqare root 2 / 2

The statements which are true are,

The measure of reference angle is 45° and tan (θ) = -1.

Reference number associated with t is defined as the shortest distance from the x axis to the terminal point t, along a unit circle.

Reference angle is shortest angle measure from the X axis to the terminal side of the angle.

Reference angle = 2π - 7π/4 = π/4 = 45°

We have,

7π/4 = 2π - π/4

We also know that,

cos(2π - x) = cos x,

sin (2π - x) = -sin x

tan (2π - x) = -tan x

So, using theses identities,

cos (7π/4) = cos (2π - π/4) = cos(π/4) = 1/√2

sin (7π/4) = sin (2π - π/4) = -sin (π/4) = -1/√2

tan (7π/4) = tan (2π - π/4) = -tan (π/4) = -1

Hence the true statements are The measure of reference angle is 45° and tan (θ) = -1.

Learn more about Reference Angles here :

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Answer:

D: pieces

Step-by-step explanation:

The sentence tells us that remnants of metal and glass making have also been found. This means that there are some left over pieces of the metals and glass materials that were used that were found.

Thus, option D is the correct answer.

Answer:

150

Step-by-step explanation:

100 : 160 :: e : 240     proportion

160e = (100)(240)

160e = 24000

elves = 150

Answer:

150

Step-by-step explanation:

100 : 160 :: e : 240  

160e = (100)(240)

160e = 24000

elves = 150

Answer:

24 ft 2

Step-by-step explanation:

Because 1/2 x 6 x 8 =24

Answer:

The value of B for the following triangular prism is B) 24 ft 2

Step-by-step explanation:

Area of the base of the following triangular prism is right angled triangle .

Therefore,

Area of right angle triangle= [tex]\frac{1}{2}[/tex]×[tex]base[/tex]×[tex]height[/tex]

                                            = [tex]\frac{1}{2}[/tex]×[tex]6[/tex]×[tex]8[/tex]

                                            =24[tex]ft^{2}[/tex]

Click here to know more about Right angled triangle

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Answer:

[tex]800~cm^3[/tex]

Step-by-step explanation:

[tex]Volume ~of A=(10*(12-5)*5=[/tex]

[tex]Volume~ of ~B= 5*8(10-4)=[/tex]

[tex]Total ~volume= A+B[/tex]

[tex]560+240=[/tex]

[tex]800~cm^3[/tex]

-----------------------------

hope it helps...

have a great day!!

Answer:

g(x) = x+2

Step-by-step explanation:

f(x) = x^2 + 1

fg(x) = x^2 + 4x + 5

Find the function g(x) so that when you put it into f(x) you get x^2 +4x + 5

g(x) = x+2

Answer:

(z - 4) (x - 9)

− 4 x  +  z  − 9

(k + 6) (k - 7)

k^2 - k - 42

(y - 5) (y + 5)

y^2 - 25