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Let f(x)=8^x
Which function represents a transformation of f(x) by a vertical stretch with factor 2?
A. g(x) = 8^2x
B. g(x) = 1/2 • 8^x
C. g(x) = 2 • 8^x
D. g(x) = 8^1/2x
what is 1,557 divided by 34
Answer:
45.7941176471
Step-by-step explanation:
One company sells a 4 gallon jug of lemonade sells for $24 dollars another sells 8 pack of 1 quart bottles for $16, which one is cheaper?
Answer:
the 4 gallon jug of 24$ is cheaper
Answer:
The company that sells 4 gallon jug of lemonade for $24 is cheaper
Step-by-step explanation:
The second company sells 8 packs of 1 quart bottles for $16 which basically means 8 quarts for $16.
There are 4 quarts in a gallon so if there are 8 quarts, it would equal 2 gallons.
Now we know that the second company sells 2 gallons of lemonade for $16. So to find how much they will sell for 4 gallons, we just need to multiply by 2 for gallons and the price.
The second company sells 4 gallons of lemonade for $32.
This means that the first company is cheaper.
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Face no more through a garden and travels 1 1/8 meters in 1 1/2 minutes what is the snail’s rate in minutes per meter? HELP ME I NEED IT ASAP
Answer:
4/3 per minute
Step-by-step explanation:
A stack of books is 62 inches high. How high is it in feet and inches?
Answer:
5 feet and .16667 inches
Step-by-step explanation:
if you where to simplify the inches it would be 2 inches because the 6 next to the 1 is greater then five making the 1 a 2
Jada wants to know how fast the water comes out of her faucet. what information would she need to know to be able to determine that
Answer:
Time, and Amount
Step-by-step explanation:
Well she would need to determine a time frame from within the water falling out of the tap, and how much water comes out. then she would need to observe how much water came out in that time frame, and how much time it took.
The information that Jada needs to know how fast the water comes out of her faucet include time and the amount of water.
Since Jada needs to know how fast the water comes out of her faucet include time and the amount of water. For example, let's say the amount of water coming out is 20 liters in 4 hours.
Therefore, this means the amount of water coming out per hour will be:
= 20 liters / 4 hours
= 5 liters per hour.
The main information needed is the time and the amount of water.
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Choose all the lines that are parallel to the line pictured in the graph bellow.
Answer:
a. y = -½x
b. y = -½x + 3
c. 2y = -x - 4
e. x + 2y = 8
Step-by-step explanation:
Parallel lines have the same slope. Therefore, the lines that will be parallel to the given line on the graph would have the same slope as the line of the graph.
First, find the slope of the line on the graph:
[tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Use the coordinates of any two points on the line. Let's use (-4, 0) and (0, -2)
[tex] m = \frac{-2 - 0}{0 -(-4)} = \frac{-2}{4} = -\frac{1}{2} [/tex]
Slope of the line on the graph is -½.
Check each given line equation, ensure they are in the slope-intercept form and find out if the value of their slope is the same as -½.
Slope-intercept form is given as y = mx + b, where, m = slope.
Option 1: y = -½x
The slope of this line is -½, therefore it is parallel to the line on the graph.
Option 2: y = -½x + 3
The slope of this line is also -½, therefore it is parallel to the line on the graph.
Option 3: 2y = -x - 4
Rewrite in slope-intercept form.
y = -x/2 - 4/2
y = -½x - 2
The slope of this line is -½, therefore it is parallel to the line on the graph.
Option 4: y = 2x - 5.
The slope of this line is 2, therefore it is NOT parallel to the line on the graph.
Option 5: x + 2y = 8
Rewrite in slope-intercept form.
2y = 8 - x
y = 8/2 - x/2
y = 4 - ½x
The slope of this line is -½, therefore it is parallel to the line on the graph.
1.Find the product of 419 and 321.
Answer:
134499
Step-by-step explanation:
When someone asks for the product of something they are saying multiply the two values.
So,
419 x 321 = 134,499
Answer:
$134,499
Step-by-step explanation:
The product is the result of two numbers that are multiplied. In this case 419 and 321.
419 x 321 = 134,499
find a function r(t) that describess the curve where the following surfaces intersect. answere are not unique x^2 y^2
Complete Question
find a vector function that represents the curve of intersection of the two surfaces. The cylinder [tex]x^2+y^2= 36[/tex] an the surface [tex]z=xy[/tex]
Answer:
The function is [tex]r(t) = 6cos(t) \ i + 6sin (t) \ j + 36costsint \ k[/tex]
Step-by-step explanation:
From the question we are told that
The equation of the cylinder is [tex]x^2+y^2= 36[/tex]
The equation of the surface is z = xy
Generally the general form of this function is
[tex]r(t) = x(t)i + y(t)j + z(t) k[/tex]
Generally to confirm the RHS and the LHS of the equation for the cylinder
Let take x (t) = 6cos(t)
and y(t) = 6sin (t)
So
[tex]x^2 + y^2 = [ 6cos(t)]^2 + [6 sin (t)]^2[/tex]
=> [tex]x^2 + y^2 = 6^2 cos^2t + 6^2 sin ^2t[/tex]
=> [tex]x^2 + y^2 = 6^2 [cos^2t + sin ^2t] [/tex]
Generally [tex]cos^2t + sin ^2t = 1[/tex]
So
[tex]x^2 + y^2 = 36[/tex]
So at x (t) = 6cos(t) and y(t) = 6sin (t) the RHS is equal to LHS
So
[tex]z(t) = x(t) * y(t)[/tex]
[tex]z(t) = (6 cos(t)) * (6 sin(t))[/tex]
=> [tex]z(t) =36costsint[/tex]
So the function is
[tex]r(t) = 6cos(t) i + 6sin (t) j + 36costsint k[/tex]
Solve by substitution: y = 3x + 4 and y = -2x – 1.
Answer:
x = -1
y = 1
Step-by-step explanation:
y = 3x+4
y = -2x-1
-2x-1 = 3x+4
-5x - 1 = 4
-5x = 5
x = -1
Substitute this x value into 1 of the equations given in the problem:
y = 3(-1)+4
y = -3+4
y = 1
Answer: the answer to x= -1 and y= 1
Ms. Watts is a famous motivational speaker. She travels across the country by jet and gives an average of ten presentations a week
She gives her speeches in auditoriums that are always full and hold an average of 1000 people each. She charges $40 per person
at each of these speeches. Her average expenses for each presentation, including renting the auditorium, are about $15,000. The
cost of meals, motels, jet travel, and support personnel total $75,000 per week. How many weeks will Ms Watts need to travel if she
wants to earn $1,400,000 per year?
Answer:
5 weeks
Step-by-step explanation:
We are told that the auditorium holds an average of 1000 people each.
And that she charges $40 each.
Thus;
Total income for each speech is;
1000 × 40 = $40000
Since she gives an average of 10 presentations each week.
Total income per week = 10 × 40000 = $400,000
Now,the expenses she makes for each speech weekly is;
Renting auditorium = $15000
Motel, jet expenses, support personnel = $75000
Thus,
Total expenses per week = 15000 + 75000 = $90000
Now, total profit per week is;
P_weekly = Total income per week - Total expenses per week
P_weekly = $400000 - $90000
P_weekly = $310000
There are 52 weeks in a year, thus, profit in a year is;
P_yearly = 52 × 310000 = $16120000
Now, we want to find out how long it took her to make $1,400,000 a year.
We know that;
$16120000 was achieved in 52 weeks
Thus;$1,400,000 will be achieved in;
(1400000 × 52)/16120000 = 4.52 weeks approximately 5 weeks.
Could someone give me an answer to this please ! :)
Answer:
8units
Step-by-step explanation:
Given parameters:
Area of triangle = 32units²
Base = 8units
Unknown:
height x of the triangle = ?
Solution:
The area of a triangle is given as;
Area = [tex]\frac{1}{2}[/tex] x base x height
Input the parameters and solve for the height;
32 = [tex]\frac{1}{2}[/tex] x 8 x h
32 = 4h
h = 8
height of the triangle is 8units
Im dumb help its for a math asighnme t i keep gettinh wrong ignore my spelling this
Laggy
Answer:
B
Step-by-step explanation:
40-30= 10
10/40 = 1/4 or 25%.
5.7% interest on $375 18 month loan
Please help this answer!!!!!!!!!!!!
An electrician has a 16-foot spool of wire and he needs to cut an 11-foot, 4 inch piece from the spool to make a repair. How many inches of wire will he have left on the spool after he makes the repair ?
Answer:
I might be stupid but 5 feet and 8 inches...im not positive tho. good luck
Answer && Step-by-step explanation:
just do 16-11, we also know there are 12 inches in a foot so do 12-4
5 feet, 8 inches is the answer
Carson's pool is leaking at a rate of 18 gallon of water every 14 hour. If the leak continues at the same rate, how much water will have leaked from Carson's pool after 1 hour?
Answer:
1 gallon water has leaked
Step-by-step explanation:
Please someone explain how to solve for x.
Answer:
x =30
Step-by-step explanation:
We can use ratios to solve
18 20
--------- = ----------
18+27 20+x
Simplify
18 20
--------- = ----------
45 20+x
Using cross products
18 *(20+x) = 20*45
18 ( 20+x) = 900
Divide each side by 18
18 /18*(20+x) = 900/18
20+x =50
Subtract 20 from each side
20+x-20 = 50-20
x=30
Answer:
30
Step-by-step explanation:
to solve this type of problem you need to cross multiply.So you get the pairs which are 18 and 20 and 27 and x so the equation looks like 18/20=27/x so 18 times x is 18x and 20 times 27 is 540 so the equation is now 18c=540 then you divide both sides by 18 so x will be isolated which means x will be by itself so 18x divided by 18 is x and 540 divided by 18 is 30 so the equation is now x=30
how do i find the values for mean and standard deviation
Answer:
1/ Mean: find the average of the numbers by add up all the numbers then divide by how many numbers there are.
2/ Standard Deviation: First, for each number: subtract the Mean and square the result. Then work out the mean of those squared differences. Take the square root of that and we are done!
Jared bought a cell phone for $42, Juanita spent 1 1/2 times as much how much did she spend
answer:
Juanita spent 1 1/2 times as much as Jared, how much did she spend?
$63
explanation:
one and a half of 42 is: 63
so,
the answer is Juanita spent $63!
Juanita paid $63 for the phone, which is equal to 3/2 of what Jared paid while buying the phone.
What is the definition of a mixed fraction?A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.How are mixed fractions written?Follow these procedures to convert an incorrect fraction to a mixed number:
Subtract the denominator from the numerator. The quotient's whole number component should be written down. Write the leftover amount on top of the original denominator.Given: Jared spent $42 on a cell phone.
We need to determine 1 and 1/2 which is 3/2 of total amount spent by Juanita.
So,
42(3/2) = $63
Therefore, Juanita spent $63 which is 3/2 amount spent by Jared in buying the cell phone.
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Lauren can wash a
car in 20 minutes.
How long will it take,
in hours, for her to
wash 60 cars?
Answer:
The answer is 20 hours
Step-by-step explanation:
20x60=1200
1200÷60=20
=========================================
One way to solve
1 car = 20 minutes
3*(1 car) = 3*(20 minutes) multiply both sides by 3
3 cars = 60 minutes
3 cars = 1 hour
20*(3 cars) = 20*(1 hour) ... multiply both sides by 20
60 cars = 20 hours
-------------------
Another way to solve
(1 car)/(20 minutes) = (60 cars)/(x minutes)
1/20 = 60/x
1*x = 20*60 ... cross multiply
x = 1200 minutes
x = (1200 min)*( (1 hr)/(60 min) )
x = (1200/60) hr
x = 20 hours
10
-25 please answer
Answer:
(-15)
Step-by-step explanation:
10-25 = (-15)
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point slope equation slope=8 point on line is (5,6)
Answer:
c
Step-by-step explanation:
Answer:
y=8x-34
Step-by-step explanation:
430tens times 30tens equals. Hundreds
Answer:
Hundreds & 100
Step-by-step explanation:
Compute the mean, median, and mode for the following three sets of scores saved.
Score 1 Score 2 Score 3
3 34 154
7 54 167
5 17 132
4 26 145
5 34 154
6 25 145
7 14 113
8 24 156
6 25 154
5 23 123
Answer/Step-by-step explanation:
Score 1:
3, 7, 5, 4, 5, 6, 7, 8, 6, 5
Mean = [tex] \frac{3 + 7 + 5 + 4 + 5 + 6 + 7 + 8 + 6 + 5}{10} = \frac{56}{10} = 5.6 [/tex]
Median: order the data from least to the greatest.
3, 4, 5, 5, 5, 6, 6, 7, 7, 8
The median is average of the fifth and sixth data value in the data set
Median = (5 + 6)/2 = 11/2 = 5.5
Mode = value with the highest frequency = 5
Score 2:
34, 54, 17, 26, 34, 25, 14, 24, 25, 23
Mean = sum of all values/10
Mean = 276/10 = 27.6
Median: order the data set from min to max.
14, 17, 23, 24, 25, 25, 26, 34, 34, 54
The median is average of the fifth and sixth data value in the data set
Median = (25 + 25)/2 = 50/2 = 25
Mode = 25 and 34 (both have frequencies of 2)
Score 3:
154, 167, 132, 145, 154, 145, 113, 156, 154, 123
Mean = sum of all values/10
Mean = 1443/10 = 144.3
Median: order the data set from min to max.
113, 123, 132, 145, 145, 154, 154, 154, 156, 167
The median is average of the fifth and sixth data value in the data set
Median = (145 + 154)/2 = 299/2 = 149.5
Mode = 154
What is the slope of the line shown below? (-4, 3) and (3, 1)
Answer:
did u attach a pic of the graph or smth?
Answer:
Step-by-step explanation:
slope of line passing through (-4,3) (3,1)
= (3-1)/(-4-3)
= -2/7
you just purchased new tennis shoes for basketball for $99 the cost for washing will be $2.00. you will wear them 110 times between basketball practice and games. what is the cost per wearing?
Answer:
Step-by-step explanation:
espera y termino y te ayudo vale que me falta poco vale
Which figure shows the net of a rectangular pyramid?
Answer:
d
Step-by-step explanation:
. The net of a pentagonal pyramid consists of one pentagon and five triangles. The pentagon is the base of the pyramid, and the triangles are the lateral faces.
Answer:
D
Step-by-step explanation:
The net of a pentagonal pyramid consists of one pentagon and five triangles. The pentagon is the base of the pyramid, and the triangles are the lateral faces.
A water-salt mixture calls for 3/4 cup if salt to be placed in 5 1/2 cups of water if i use 1 cup if salt how much water should i use to preserve the proper water to salt ratio
Answer:
7⅓ cups of water
Step-by-step explanation:
Water-salt mixture ratio = ¾ cup of salt to 5½ cups of water (¾ : 5½)
To maintain this water to salt ratio, if you intend to use 1 cup of salt, the number of water you need to add can be calculated as follows:
¾ cup of salt : 5½ cups of water = 1 cup of salt : x cups of water
¾ : 5½ = 1 : x
[tex] \frac{\frac{3}{4}}{5\frac{1}{2}}. = \frac{1}{x} [/tex]
[tex] \frac{\frac{3}{4}}{\frac{11}{2}} = \frac{1}{x} [/tex]
[tex] \frac{3}{4}*{\frac{2}{11} = \frac{1}{x} [/tex]
[tex] \frac{3}{2}*{\frac{1}{11} = \frac{1}{x} [/tex]
[tex] \frac{3*1}{2*11} = \frac{1}{x} [/tex]
[tex] \frac{3}{22} = \frac{1}{x} [/tex]
Cross multiply
[tex] 3x = 22 [/tex]
Divide both sides by 3
[tex] \frac{3x}{3} = \frac{22}{3} [/tex]
[tex] x = 7\frac{1}{3} [/tex]
Number of cups of water to add to 1 cup if salt is 7⅓ cups.
Write an equation in slope-intercept form for the line that has a slope of -1 that passes through (-4,3).
Answer:
[tex]\huge\boxed{y=-x-1}[/tex]
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
[tex]m[/tex] - slope
[tex]b[/tex] - y-intercept
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
[tex](x_1;\ y_1)[/tex] - point on a line
========================================
We have
[tex]m=-1;\ (-4;\ 3)\to x_1=-4;\ y_1=3[/tex]
substitute
[tex]y-3=-1(x-(-4))\\\\y-3=-(x+4)\\\\y-3=-x-4\qquad|\text{add 3 to both sides}\\\\y-3+3=-x-4+3\\\\y=-x-1[/tex]
if $396 is invested at an interest rate of 13% per year and is compounded continuously, how much will the investment be worth in 3 years ?
Answer:
154.44
Step-by-step explanation:
What is 13% of 396?
Y is 13% of 396
Equation: Y = P% * X
Solving our equation for Y
Y = P% * X
Y = 13% * 396
Converting percent to decimal:
p = 13%/100 = 0.13
Y = 0.13 * 396
Y = 51.48
Now multiply by 3 (amount of continuous years)
51.48 * 3
=154.44
Hope it helps!