Write the given equation in exponential form.

Log8 1/512 = 3

Need helpppp assignments due tomorrow :(

Answer:

(x=4)^2=23; the third one

Step-by-step explanation:

When you solve it using the quadratic formula it's the same as the original answer.

Answer:

1300

Step-by-step explanation:

4 times 5 = 20

260 times 5 = 1300

Answer:

1300 times

Step-by-step explanation:

195 is is 3 X 65 so dividing 195 by 3 gets you 65

65 X 20 = 1300

Answer:

the way you find the percentage of a fraction normally is dividing the numerator by the denominator. so fill in 100 as the denominator.

ex: x/100 = 0.x

or, just put a 0.(number) because that also works

Answer:1

Step-by-step explanation:

Answer:

[tex]\fbox{3\sqrt{2}}[/tex][tex]3\sqrt2[/tex]

Step-by-step explanation:

Step 1:

Let us figure out the measurements of all the angles first. We are given one angle of 45º, and another of 90º. The angles of a triangle must add up to 180º, hence we can use basic addition and subtraction to find the last angle.

[tex]\angle=180-90-45\\\angle=45[/tex]

Great our angle is 45º! Notice something...?

Step 2:

We now have two 45º angles in our triangle. This means we have an isosceles triangle.

According to BATh (base angle theorem), in an isosceles triangle, the angles opposite the congruent sides are congruent. Thus, y is congruent to the given side of [tex]3\sqrt2[/tex].

y=[tex]\fbox{3\sqrt{2}}[/tex][tex]3\sqrt2[/tex]

I hope this helps! Let me know if you have any questions :)

Answer:

Perimeter= 20 cm

Area = 25 cm^2

Difference between 28cm^2 and 8cm^2= 20cm^2

Step-by-step explanation:

The formula to calculate the perimeter of a square is P= 4 * (the length of any side or "s").

Therefore:

P = 4 * 5cm

P = 20 cm

The formula for calculating the area of a square is A= (length of any side or "s")^2

So:

A= 5cm^2

A= 25cm^2

Remember the units in your answer!

The difference between indicates subtraction, and 28cm^2 and 8 cm^2 are like terms so:

28cm^2 - 8 cm^2 = 20 cm^2

Answer:

x = 6 sqrt(3)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

6^2+ x^2 = 12^2

36 + x^2 = 144

Subtract 36 from each side

x^2 = 144-36

x^2 =108

Take the square root of each side

sqrt(x^2) = sqrt(108)

x = sqrt(36*3)

x = 6 sqrt(3)

Answer:

12x3+6x2+34x+17

Step-by-step explanation:

(2x+1)(6x2+8+9)

=(2x+1)(6x2+8+9)

=(2x)(6x2)+(2x)(8)+(2x)(9)+(1)(6x2)+(1)(8)+(1)(9)

=12x3+16x+18x+6x2+8+9

=12x3+6x2+34x+17

Answer:

Question 12: Find the slope from these two points: (-3,-3) and (-4,-8)

The formula for finding the slope from two points is attached to this answer.

So if we plug in our values that correspond to the formula we get the following:

First pair: -3 is our x1, -3 is our y1,

Second pair: -4 is our x2, -8 is our y2

-8--3/-4--3

-8+3/-4+3

-5/-1=5, Our slope is 5 for question 12

Question 18: Find the area of a circle with a diameter of 31.

Area=[tex]\pi r^2[/tex]

So we have [tex]15.5^{2} \pi[/tex]

240.25 times 3.14 is 754.385, if we round to the nearest whole number we receive 754 as our answer for question 18

Question 21: Find the measurement of a missing leg in a right triangle when given the hypotenuse and another leg

We know that the hypotenuse is 8cm and one of the legs is 5cm

the formula would be [tex]a^{2} +b^{2}= c^{2}[/tex] for the hypotenuse but this can be used to find the missing legs as well.

[tex]5^{2} +b^{2} =8^{2}[/tex]

[tex]25+b^{2} =64[/tex]

Subtract 25

[tex]b^{2} =39[/tex]

b would equal 6.44 something but the question said to round to the nearest whole number which would be 6.

Question 23: Find the volume of a cone

Radius: 10, height: 7

Formula to find the volume of a cone: 1/3 times 3.14 times r^2 times the height

1/3 times 3.14 times 10^2 times 7

1/3 times 3.14 times 700

1.046 (the 46 is repeating) repeating times 700

732.06 repeating, the 6 is repeating.

The question also asks us to round to the nearest whole number so the answer to question 23 would be 733

Question 26: Find the volume of a sphere

Radius is 6 and pi is 3.14

Formula: [tex]4\pi \frac{r^3}{3}[/tex]

So we have 4 times 3.14 times 6^3 divided by 3

4 times 3.14 times 108/3

4 times 3.14 times 36

12.56 times 36

452.16, I didn't see this answer listed on your worksheet, so please correct me if I'm wrong

Question 47: Probability of a number cube rolled many times to see how many times an even number is rolled.

Since this is a standard number cube there must be 6 sides, therefore half the numbers are even so

65 * 2 = 32.5, which rounds up to 33

33 is our answer to question 47

Hope I helped, have a nice day :)

Answer:

The cylindrical one

Step-by-step explanation:

We know that the container does not have anything inside it, and we only want the surface, so we will figure out the surface area. The less surface area the package has, the less plastic is used.

The surface area for a cylinder is 2πrh +2πr². Plugging 5 in for r (the radius) and 19 in for the height, we get

2π(5)(19) + 2π(5)² = 753.98

The surface area for a rectangular prism is 2(wl + hl +hw), with 10 being the width, 12 being the length, and 19 being the height in this example, resulting in

2(10*12 + 19 * 12 + 10 * 19) = 1076

The surface area for the cylinder will clearly have less surface area/plastic

===========================================================

Explanation:

Let's go through the answer choices

Going back to choice C, again we don't have enough info to determine if the system is independent or dependent, but we at least know it's consistent. Consistent systems have one or more solutions. So part of choice C can be confirmed. It being the only thing left means that it has to be the final answer.

If it were me as the teacher, I'd cross out the "independent" part of choice C and simply say the system is consistent.

Answer:

Above that (1, 0, 1) is a solution to a system of three linear equations, The system can only be independent and consistent. is true about the system.

Answer:

$15

Step-by-step explanation:

50% = .50

$10 × .50 = 5

10 + 5 = 15

Answer:

ac/5=a'c

Step-by-step explanation:

Answer:

i think isA

Step-by-step explanation:

Answer:

6 percent increase

Step-by-step explanation:

66-60=6

So a 6 percent increase.

Answer:

10 percent increase

Step-by-step explanation:

60 ÷ 6 = 10

Hope this helps!

Problem 1

height of flagpole = meters (SI), feet (imperial)

area of walls = square meters (SI), square feet (imperial)

amount of water = liters (SI), gallons (imperial)

volume of grocery bag = liters (SI), gallons (imperial)

-----------

There's not much explanation here. It's simply something you memorize.

======================================================

Problem 2

1 ft = 12 inches

5 ft = 60 inches .... multiply both sides by 5

5 ft, 10 in = 60+10 = 70 inches

To convert from inches to cm, we multiply by 2.54 (approx)

70 in = 70*2.54 = 177.8

Shane is roughly 178 cm tall

======================================================

Problem 3

1 km = 1000 m

0.65 km = 650 m .... multiply both sides by 0.65

1 m = 100 cm

650 m = 65000 cm ... multiply both sides by 650

We can see that 0.65 km is the same as 65000 cm

======================================================

Problem 4

1 pound = 16 ounces

Based on this, we divide by 16 to go from ounces to pounds

50 oz = 50/16 = 3.125 pounds

Answer:

The correct answer is Choice C.

Step-by-step explanation:

When figuring out the perimeter, we need to count the number of sides. There are 8 sides in total. 5 sides have length labeled  'x' . 2 sides have the length labeled 'y' . Only 1 side has the length labeled 'z' .

In order to put that into an expression, just add the sides up.

5 sides of z + 2 sides of y + 1 side of z

Therefore, the expression that represents the perimeter of the figure is 5x + 2y + z.

Answer:

1. Melissa and Corey started on different trails.

2. Melissa hiked up the trail for a longer period of time than Corey.

3. Melissa and Corey crossed paths between 60 and 90 minutes.

4. Corey began his descent before Melissa.

Step-by-step explanation:

A. Melissa and Corey started on different trails. - TRUE

Rationale: at the start, when t = 0, Melissa hiking trail elevation was 8,342 ft while that of Corey was 10,004 ft. Therefore, they started on different trails.

B. Melissa hiked up the trail for a longer period of time than Corey. - TRUE

Rationale: It took Melissa 90 mins to reach the highest elevation of 12,921 while it took just 60 mins for Corey to teach same elevation height at 60 mins

C. Melissa and Corey crossed paths between 60 and 90 minutes. - TRUE

Rationale: As Melissa was still ascending between 60 - 90 mins from 11,239 to 12,921, Corey was descending at the same time . So their path crossed.

D. Corey began his descent before Melissa. - TRUE

Rationale: Corey started descending earlier at 60 mins before Melissa

E. As Melissa’s time increased from 0 to 60 minutes, her elevation decreased. - FALSE

Rationale: as Melissa's time increased from 0 to 60 mins, her elevation increased also from 8,342 ft to 11,239 ft.

Answer:

A) Melissa and Corey started on different trails.

B) Melissa hiked up the trail for a longer period of time than Corey.

D) Corey began his descent before Melissa.

Step-by-step explanation:

I got it right on Edge :D

Answer:

Step-by-step explanation:

sin 32 degree = x/48

0.529*48 = x

25.392 = x

x = 25.4 (after converting to the nearest tenth)

tan 62 degree = 25/x

1.88 = 25/x

x = 25/1.88

x = 13.29

x = 13.3 (after converting to the nearest tenth)

Answer:

The area of the figure is 61.24 cm

Step-by-step explanation:

The area for the parallelogram is determined by base x height, so 7 x 6 = 42.

The area of a circle is [tex]\pi[/tex]r², with r being the radius, so that means the circle area is 38.48, but because its a semicircle, its half of that, so the area is 19.24.

42 + 19.24 = 61.24

Answer:

D

Step-by-step explanation:

an undefined slope has the same x value no matter what y value it has, therefore, D

(please rate and thank)

Answer:

The correct answer is - 6 hours 24 minutes.

Step-by-step explanation:

Given:

Clock A - The short hand points just after 2 and the long hand points to the third tick mark after 2 = 2'O clock and thirteen minutes.

Clock B - The short hand points about halfway between 8 and 9 and the long hand points to the second tick mark after 7 = 8'O clock and 37 minutes.

Solution:

The time difference between two clocks can be calculated by subtracting the time of clock A from the time of clock B.

time passed = 8'O clock and 37 minutes - 2'O clock and thirteen minuts

= 6 hours and 24 minutes.

Answer:

$1251.59

Step-by-step explanation:

tax percent = 6.7%

cost price of watch = $113

tax amount = tax percent of total price

=6.7 % * 1173

=6.7/100 *1173

=78.591

Now find total cost of a watch with tax

total cost = tax amount + original cost price

=$78.591 + $1173

=$1251.59

Answer:

1 and 8,  4 and 5

Step-by-step explanation:

There are two pairs, 1 and 8,  4 and 5

The angles in each pair must be on opposite sides of the transversal k, and on the outsides of the parallel lines l and m.

Answer:

24 is C and 25 is B , ill try and do the other questions if u need me to explain 24 and 25 lmk!

Answer:

y - 22 = 14(x - 1)

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 14x - 3 ← is in slope- intercept form

with slope m = 14

Parallel lines have equal slopes

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 14 and (a, b) = (1, 22) , then

y - 22 = 14(x - 1)