QUESTION 8
Simplify the expression
(5-4 (25)*)?
expressing the answer as a power of 5.

Answer:

$6.35

Step-by-step explanation:

5*25=125

125+500=625

625+10=635

635/100=6.35

Answer:

$6.35

Step-by-step explanation:

500 pennies = $5.00

5 quarters = $1.25

.10+1.25+5=6.25

Answer:    [tex]f'(1)=\dfrac{4}{2y+1}[/tex]

Step-by-step explanation:

To find the tangent, you need to find the derivative with respect to x.

Then substitute x = 1 into the derivative.

Given:         0 = 2x² - xy - y²

Derivative:  0 = 4x - y' - 2yy'

Solve for y': 2yy' + y' = 4x

                   y'(2y + 1) = 4x

                   [tex]y'=\dfrac{4x}{2y+1}[/tex]

[tex]\text{Substitute x = 1:}\quad y'(1)=\dfrac{4}{2y+1}[/tex]

Answer:

48 cups

Step-by-step explanation:

4 gallons = 64 cups

1 gallon =  64 ÷ 4

1 gallon = 16 cups

3 gallons = 16 * 3 = 48 cups

Answer:

48 cups are in 3 gallons

Step-by-step explanation:

In the picture, it says that there are 64 cups in 4 gallons.

If we divide [tex]\frac{64}{4}[/tex], (to find out how many cups are in 1 gallon) we get 16 cups.

And 16 x 3 equals 48 cups.

Hope dis helps you

Answer:

Step-by-step explanation:

Let the price of the vase before increase = x

110 % of x = £ 22

[tex]\frac{110}{100}*x=22\\\\x=22*\frac{100}{110}\\\\x=2*10\\[/tex]

x = £ 20

Answer:

A) 56/x=85/100

C) 56=(0.85)w

Step-by-step explanation:

Sonce 56/.85=65.88, we look for the two that have that answer.

A) 56/x=85/100

cross multiply 5600=85x

divide by 85

x=65.88 - YES

B) p=(0.85)56=47.6 - NO

C) 56=(0.85)w

Divide both sides by 0.85=65.88 - YES

D) x/56=85/100

100x=4760=47.6 - NO

Answer:

Standard notation:1124400

P=1.124

q=6

Step-by-step explanation:

Standard notation is the normal way of writing a number(in this case the standard notation is 11 244 000(which is the difference between the population of the New York state and New York city)

Then scientific notation is writing a number in two parts. The first part is placing a decimal point after the first digit. The second is *10 to a power that puts the decimal point back where it should be.(1.124*10 to the power 6)

HOPE IT HELPED

Answer:

y=1.5x

78

Step-by-step explanation:

y=1.5x

y=1.5(52)

y=78

Answer:

Hey there!

-6 ft is 6 ft below sea level.

Hope this helps :)

Answer: 12 days

Step-by-step explanation: if the track is 2214.5 miles long and Miguel is doing 21.14 miles an hours for 9 hours a day we’d need to know how much he completes in a single day

He does 9 hours and in each hour he completes 21.14 miles. So in a whole day he will complete 190.26 miles.

He needs to finish 2214.5 miles and he only completes 190.26 miles per day. So we divide to find how many days it will take him. After dividing we get the answer of 12 days

Answer \

c land on yellow 90 time

Answer:

all but B & D

Step-by-step explanation:

the sum of all data=314

314-120=194

164-44=150

I WAS WRONG THE ANSWERS WERE A AND D: DONT BELIEVE ME VIEW COMMENTS BELOW

Answer:

-729

Step-by-step explanation:

[tex]-9^3 = -9 x (-9) x (-9) =[/tex]

          [tex]-9x(-9) = 81[/tex]

                   [tex]81x(-9)=-729[/tex]

Answer:

600 blocks

Step-by-step explanation:

Well this question is asking us to find the volume of the rectangular prism.

Dimensions)

L: 12

W: 10

H:5

The formula for the volume of a rectangular prism is l*w*h or B*h.

So 12*10 = 120

120 * 5 = 600 blocks

Thus,

the fort contains 600 blocks.

Hope this helps :)

Answer:

[tex]\boxed{280\ blocks}[/tex]

Step-by-step explanation:

The blocks at the base are:

Length * Width = 10 * 12 = 120 blocks

On the 2nd Layer:

=> 9+11+9+11 = 40 blocks

There are 3 more layers as the 2nd layer:

So, the blocks of these 4 layers are => 4 * 40 = 160 blocks

Total Blocks = Base Blocks + Layer Blocks

=> 120 + 160

=> 280 blocks

Assuming he works at a constant rate, the daily rate Mark rakes lawns in the fall is 40% of the daily rate he mows lawns in the summer.

Fall:

5 neighbors' lawns / 2.5 hours = 2 lawns per hour

Summer:

6 neighbours' lawns / 1.2 hours = 5 lawns per hour

2 x 100% / 5 = 40%

2 is 40% of 5

Answer:

p > q

Step-by-step explanation:

We khow that the sum of a triangle's angles is 180°

■■■■■■■■■■■■■■■■■■■■■■■■■■

Let's start with the triangle containing p

● p+60+50 = 180

● p+110 = 180

● p = 180-110

● p= 90°

So p is a right angle

□□□□□□□□□□□□□□□□□□

The second triangle

● q+ 80+30 = 180

● q+ 110 = 180

● q = 180-110

● q = 70°

Then q is also a right triangle

■■■■■■■■■■■■■■■■■■■■■■■■■

We can deduce that p > q

Answer:

Inconsistent; No Solution

Step-by-step explanation:

I used a graphing tool to graph the equations. When graphed, the lines are parallel.  The lines have the same slope but a different y-intercept. This means that there is no solution.

The system is inconsistent, and therefore has no solution.

Answer:

ob:1

Step-by-step explanation:

ob:1

Answer:

39.5

Step-by-step explanation:

Let's figure out the equations of l and m first.

For line l, we see that the coordinates (0, 5) and (3, 0) are on the line. The equation of a line is y = mx + b where m is the slope and b is the y-intercept.

We can find the slope, which is the difference in the y-coordinates divided by the difference in the x-coordinates:

m = slope = (5 - 0) / (0 - 3) = 5/-3 = -5/3

The y-intercept of a line is the place where the line crosses the y-axis. For line l, it is at (0, 5), so b = 5. Our equation is thus: y = (-5/3)x + 5.

For line m, we see that the coordinates (0, 2) and (7, 0) are on the line. The slope is:

m = slope = (2 - 0) / (0 - 7) = 2/-7 = -2/7

The y-intercept is at (0, 2), so b = 2. Our equation is hence: y = (-2/7)x + 2.

Taking the two equations, let's set 15 equal to y and solve for x:

y = (-5/3)x + 5  ⇒  15 = (-5/3)x + 5  ⇒  10 = (-5/3)x  ⇒  x = -6

y = (-2/7)x + 2  ⇒  15 = (-2/7)x + 2  ⇒  13 = (-2/7)x  ⇒  x = -91/2

Let's find the difference:

-6 - (-91/2) = 39.5

The answer is thus 39.5.

~ an aesthetics lover

Answer:

(Picture below)

Step-by-step explanation:

To solve this you will first need to make a coordinate plane that is 10 by 10.

After you have done that you will need to know what slope intercept form is. Slope intercept form is [tex]y=mx+b[/tex] and the equation that was given was [tex]y=-x-6[/tex]. In the formula [tex]y=mx+b[/tex], [tex]m[/tex] is the slope or rise over run and b is where the line crosses the y axis.

Now that you know the basics of slope intercept form we can start graphing. so b in this equation is -6, so we will put the first point on -6. after we have done that we can start putting the points of the line. So since the slope is just -1x  we will have to go down one and go to the right one about 3 times and just to finish it up go up and left on 3 times to. And there you have it.

Answer:

7. 1/3    8. 3/8

Step-by-step explanation:

7. 5 - 1/6 chance           1 out of 6 possibilities

6 - 1/6 chance           1 out of 6 possibilities

1/6+1/6 = 1/3

8. 3 a's out of 8 letters. 3/8

Answer:

7. 2/3

8. 3/8

Step-by-step explanation:

5 - 1/6

1/6

6 - 1/6

1/6

1/6+1/6 = 2/6 = 1/3

3 out of 8

3/8

Answer:

x = 5/3                    x = -1

Step-by-step explanation:

|3x–1|=4

The solution to an absolute value equation has a positive and a negative solution

3x-1 =4    3x-1 = -4

Add 1 to each side

3x-1+1 = 4+1      3x-1+1 = -4+1

3x =5                 3x = -3

Divide by 3

3x/3 = 5/3           3x/3 = -3/3

x = 5/3                    x = -1

Answer:

x=1 2/3,x=-1

Step-by-step explanation:

There are two solutions. In the first solution, 3x=4-1=4 so x=1 2/3

The second solution is when 3x-1 equals negative 4 but because of the absolute value, is positive 4. In this case, it would be x=-1

Answer:

45 square inches

Step-by-step explanation:

Akira receives the prize at the science fair for having the most informative project her trophy is in the shape of a square pyramid and is covered in shiny gold foil how much gold foil did it take to cover the trophy including the bottom

Total surface  =  surface area of the base square + area of 4 triangles

Calculate the surface area of the base square

surface area of the square =  s^2

where s= side length

s=3 in

The surface area of the base  =s^2

=3^2

= 9 square inches

The surface area of the side triangles

The area of the triangle = (1/2)* side length* slant height

Side length=3 in

Slant height=6 in

substituting the values,

The area of the triangle =1/2*3*6

= 18/2

= 9 square inches

There are 4 triangles

The area of 4 triangles  =  4 x 9  

= 36 square inches

Therefore,

Total surface  =  surface area of the base square + area of 4 triangles

=  9 + 36

= 45 square inches

Answer:

IT'S 216 TRUST ME!

Step-by-step explanation:

Answer:

[tex]\huge\boxed{a_n=1\cdot(-2)^{n-1}}[/tex]

Step-by-step explanation:

[tex]a_n=a_1r^{n-1}[/tex]

We have the geometric sequence: 1, -2, 4, -8, ...

Find the common ratio:

[tex]r=\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=...=\dfrac{a_n}{a_{n-1}}[/tex]

[tex]a_1=1,\ a_2=-2[/tex]

substitute:

[tex]r=\dfrac{-2}{1}=-2[/tex]

Substitute

[tex]a_1=1;\ r=-1[/tex]

to

[tex]a_n=a_1r^{n-1}[/tex]

[tex]a_n=1\cdot(-2)^{n-1}[/tex]

Answer:

[tex]a_{n}=1 (-2)^{n-1}[/tex]

Step-by-step explanation:

Hi there!

Let's do it,

1)[tex]1,-2,4,-8[/tex]  

First let's find the q, the common ratio by dividing the second term by the anterior one.

-2:1 =-2

4:-2=-2

So the common ratio is -2. Plugging in on the General formula:

[tex]a_{n}=a_{1}q^{n-1}[/tex]

[tex]a_{n}=1 (-2)^{n-1}[/tex]

Answer:

62.5°

Hope this helps :)

Answer:

The answer in standard notation is 11'244,000. The answer in scientific notation is p * 10∧7, where p is 1.1244 and q is 7.

Step-by-step explanation:

Let's answer the question correctly this way:

Population of New York State = 19'650,000

Population of New York City = 8'406,000

Population that do not live in New York City = 19'650,000 - 8'406,000

Population that do not live in New York City = 11'244,000

Population that do not live in New York City in scientific notation = 1.1244 * 10⁷

The answer in standard notation is 11'244,000. The answer in scientific notation is p * 10∧7, where p is 1.1244 and q is 7.

Answer:

3

Step-by-step explanation:

To do this you would take absolute value so you get [tex]2x+6\leq 10[/tex] then you would subtract 6 from both sides so you get [tex]2x\leq 10[/tex] then you would divide 2 from both sides so you would get [tex]x\leq 2[/tex] so graph 3 would be the write answer

Answer:

30xy

Step-by-step explanation:

Area for rectangle is length * width

____________________________________

Given

length of tile = x

width of tile = y (here y is given as height , it can be considered as width)

area of one tile = x*y = xy

there are 30 tiles used

thus area of 30 tiles = 30* area of one tile = 30xy

Thus, area of tiled parts is   30xy

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

Work Shown:

Use the geometric mean formula to find that BD = 6

BD = geometric mean of AD and DC

BD = sqrt(AD*DC)

BD = sqrt(12*3)

BD = 6

Then use the pythagorean theorem to find the missing side for triangle BCD

a^2+b^2 = c^2

(CD)^2 + (BD)^2 = (BC)^2

3^2 + 6^2 = m^2

m^2 = 45

m = sqrt(45)

m = 6.70820393249937 approximately

m = 6.7 after rounding to one decimal place

Answer:

[tex]\boxed{\sf \ \ 36 \ \ }[/tex]

Step-by-step explanation:

Hello,

We need to sum all sides, we know all of them except two sides that we can guess as this is

for the horizontal one 11 - 2 - 2 - 2 = 11 - 6 = 5

for the vertical one 5 - 3 = 2

so in total it comes

11 + 5 + 2 + 2 + 2 + 2 + 2 + 2 + 5 + 3 =16 + 12 + 8 = 16 + 20 = 36

hope this helps