Question 1 (1 point)
77.2 x 10^3 is written in scientific notation correctly.
Question 1 options:
True
False
Question 2 (1 point)
What is 1.6 x 10^0 in standard form?
Question 2 options:
16
0.16
1.6
160
Question 3 (1 point)
What is 0.02244 in scientific notation?
Question 3 options:
2.244 x 10^-2
2.244 x 10^2
22.44 x 10^-2
22.44 x 10^2
Answers
Question 2: 1.6
Question 3: 2.244 x 10^2
Related Questions
I need help with this
Answers
9514 1404 393
Answer:
vertical shrink by a factor of 1/3shift right 2 unitsshift down 4 unitsStep-by-step explanation:
The transformations of interest here are ...
g(x) = k·f(x) . . . . . vertically scale f(x) by a factor of k
g(x) = f(x -h) . . . . shift f(x) right by h units
g(x) = f(x) +k . . . . shift f(x) up by k units
__
Working left to right, the first factor we encounter is 1/3, multiplying the value that is cubed. This means the vertical scale factor of f(x) = x^3 is 1/3. A scale factor less than 1 represents a shrink, so ...
transformation #1 = shrink by a factor of 1/3
The next number we encounter is -2 in the factor (x -2)^3. This means h=2 in f(x -h) = (x -2)^3. The horizontal shift right is 2 units:
transformation #2 = right shift 2 units
Finally, we encounter the number -4. This means k=-4 in g(x)=f(x)+k. The up-shift is negative, so ...
transformation #3 = shift down 4 units
__
The right- and down-shifts can be done in either order. Here, we have done them as we see them when scanning the equation left-to-right. The vertical scaling must be done before the down-shift, so that it does not affect the amount of down-shift.
You are saving to buy a brand new car in 6 years? You predict the car will cost $32000 but you have already saved $6500.
How much work do you have if you put the $6,500 in an account paying 5% APR compounded continuously?
How much should you invest into an account paying 5% APR compounded continuously to have the entire $32000 in the 6 years?
Answers
The amount you will have $6,500 with 5% in six years using continuous compounding is of:
$8,774.
The amount you will need to have the entire $32000 in the 6 years is of:
$18,890.46.
What is continuous compounding?The balance of an account after t years, using continuous compounding, is given as follows:
\(B(t) = Pe^{kt}\)
In which the parameters are given as follows:
P is the principal, which is the initial investment.k is the APR, as a decimal.Putting the $6,500 into the account, the values of the parameters are given as follows:
P = 6500, k = 0.05, t = 6.
Hence the balance will be of:
B(6) = 6500 x e^(0.05 x 6) = $8,774.
The balance to have the entire $32,000, considering what you already have, will be of:
32000 - 6500 = 25500
Hence the principal is obtained as follows:
Pe^(0.05 x 6) = 25500
P = 25500/e^(0.3)
P = $18,890.46.
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Given −48.132 ÷ −0.84, find the quotient.
40.4
47.292
57.30
−5.73
Answers
The quotient of the expressions −48.132 and −0.84 will be 57.30. Then the correct option is C.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Division means the separation of something into different parts, sharing of something among different people, places, etc.
Given −48.132 ÷ −0.84.
Then the value of the expression will be
⇒ −48.132 / −0.84
If in the numerator and the denomination, the negative sign is present, then both will cancel out each other.
⇒ 48.132 / 0.84
⇒ 57.30
The quotient of the expressions −48.132 and −0.84 will be 57.30.
Then the correct option is C.
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9 3/4 divided by 4 1/8 As a simplest form
Answers
Answer:
2 4/11
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
Exact Form:
26/11
Decimal Form:
2.36
Mixed Number Form:
2 4/11
Answer:
2 4/11
Step-by-step explanation:
Miller Toy Company manufactures a plastic swimming pool at its Westwood Plant. The plant has been experiencing problems as shown by its June contribution format income statement below:
Flexible
Budge
Actual
Sales (7,000 pools)
$265,000 $265,000
Variable expenses:
Variable cost of goods sold*
79,240
97,525
Variable selling expenses
19,000
19,000
Total variable expenses
98,240
116,525
Contribution margin
166,760
148,475
Fixed expenses:
Manufacturing overhead
Selling and administrative
Total fixed expenses
Net operating income (loss)
67,000
67,000
85,000
85,000
152,000
152,000
$ 14,760 $ (3,525)
Janet Dunn, who has just been appointed general manager of the Westwood Plant, has been given instructions to "get things under control. Upon reviewing the plant's income statement, Ms. Dunn has concluded that the major problem lies in the variable cost of goods sold. She has been provided with the following standard cost per swimming pool:
Direct materials
Direct labor
Variable manufacturing overhead
Total standard cost per unit
Standard
Quantity or
Hours
3.5 pounds
0.4 hours
0.3 hours
Standard Price or Rate
§ 2.10 per pound
$ 7.60 per hour
$ 3.10 per hour
Standard
Cost
$ 7.35
3.04
0.93
$ 11.32
During June, the plant produced 7,000 pools and incurred the following costs:
a. Purchased 29,500 pounds of materials at a cost of $2.55 per pound.
b. Used 24,300 pounds of materials in production. (Finished goods and work in process inventories are insignificant and can be ignored.)
c. Worked 3,400 direct labor-hours at a cost of $7.30 per hour.
d. Incurred variable manufacturing overhead cost totaling $8,400 for the month. A total of 2,400 machine-hours was recorded.
It is the company's policy to close all variances to cost of goods sold on a monthly basis
Required:
1. Compute the following variances for June:
a. Materials price and quantity variances
b. Labor rate and efficiency variances.
c. Variable overhead rate and efficiency variances.
2. Summarize the variances that you computed in (1) above by showing the net overall favorable or unfavorable variance for the month.
Answers
a. Materials price variance = (Standard price - Actual price) x Actual quantity
= ($2.10 - $2.55) x 24,300 pounds
= -$10,935 (Unfavorable)
b. Materials quantity variance = (Standard quantity - Actual quantity) x Standard price
= (3.5 pounds - 24,300 pounds) x $2.10 per pound
= -$48,465 (Unfavorable)
Labor rate and efficiency variances:
a. Labor rate variance = (Standard rate - Actual rate) x Actual hours
= ($7.60 - $7.30) x 3,400 hours
= $1,020 (Favorable)
b. Labor efficiency variance = (Standard hours - Actual hours) x Standard rate
= (0.3 hours - 3,400 hours) x $7.60 per hour
= -$23,600 (Unfavorable)
Variable overhead rate and efficiency variances:
a. Variable overhead rate variance = (Standard rate - Actual rate) x Actual hours
= ($3.10 - $8,400/2,400 hours) x 2,400 hours
= -$2,800 (Unfavorable)
b. Variable overhead efficiency variance = (Standard hours - Actual hours) x Standard rate
= (0.3 hours - 2,400 hours) x $3.10 per hour
= -$7,194 (Unfavorable)
Net overall favorable or unfavorable variance for the month:
To calculate the net overall variance, we sum up all the variances:
Overall Variance = Materials price variance + Materials quantity variance + Labor rate variance + Labor efficiency variance + Variable overhead rate variance + Variable overhead efficiency variance
= -$10,935 + (-$48,465) + $1,020 + (-$23,600) + (-$2,800) + (-$7,194)
= -$94,014 (Unfavorable)
A catering service is serving a party with 75 guests. The recipe for cornbread calls for 9 cups of flour and will serve 15 people. How much flour will be needed to serve cornbread to the 75 guests? _____ cups of flour
Answers
Answer:
45!
Step-by-step explanation:
75/15= 5
then multiply that by 9
9x5=45
pls mark brainliest
Answer:
125
Step-by-step explanation:
9 cups = 15 people
1.6666- cups = 1 person
125 cups = 75 people
f(x)= 3x - 2 fill in the remaining empty table cells in the table using the given function
Answers
you can use the table and enter the equation using the x-values or use the primary method
Damon has 37 inches of space on his car bumper that he wants to use for bumper stickers. How many short bumper stickers can Damon fit side by side on his car bumper?
Answers
Answer: Does it specify how long his short bumper stickers are?
Step-by-step explanation:
Consider the following sample data: x 12 18 20 22 25 y 15 20 25 22 27 Click here for the Excel Data File a. Calculate the covariance between the variables. (Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)
Answers
Answer:
The covariance between the variables is 21.10 and the Correlation coefficient is 0.9285.
Step-by-step explanation:
Hence,
What is f(3) if f(x) = -4x + 1 ?
Answers
f(3)=10 I think this is it
Answer:
f(3) = -11
Step-by-step explanation:
should be lol
Factor each exspression. 16x + 40y
Answers
Answer: 8(2x+5y)
Step-by-step explanation:
16x+40y
=8(2x+5y)
Answer:
hut the F اا u ااck up (shut up)
shut the F اا u ااck up (shut up, yeah)
shut the F اا u ااck up (go)
shut the F اا u ااck up (go)
shut the F اا u ااck up (go)
shut the F اا u ااck up (shut up)
shut the F اا u ااck up (shut up)
shut the F اا u ااck up (shut up)
shut the F اا u ااck up (shut up)
shut the F اا u ااck up (hu, huh, yeah)
shut the F اا u ااck up (go)
shut the F اا u ااck up (go)
shut the F اا u ااck up (go)
shut the F اا u ااck up (shut up)
shut the F اا u ااck up (shut up)
shut the F اا u ااck up (shut up)
huh (daytrip took it to 10, hey)
Step-by-step explanation:
2. Estimate the subtotal for a $14.00 shirt, a $27.00 pair of pants, and a $62.00 jacket.
Answers
Answer:
$100
Step-by-step explanation:
Round each price to the nearest 10 and add.
$10 + $30 + $60 = $100
Answer: $100
Find the quotient or 4/5 and 6/7 give ur answer as a fraction in simplest form
Answers
Answer:
14/15
Step-by-step explanation:
Let me know if i got it right if not I'm sorry :(
The required quotient would be 14/ 15 which is a fraction.
What is the Quotient?A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.
We have been given that two numbers are 4/5 and 6/7
To determine the quotient or 4/5 and 6/7
⇒ 4/5 ÷ 6/7
⇒ 4/5 / 6/7
Reciprocal the term of denominator,
⇒ 4/5 × 7/6
Apply the multiplication operation,
⇒ 28 / 30
Reduce the above fraction to the simplest form
⇒ 14/ 15
Therefore, the required quotient would be 14/ 15 which is a fraction.
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the length of a rectangle is 4 unit less than the width. which expression represents the perimeter of the rectangle
Answers
Answer:
Length: 11
Width: 5
Step-by-step explanation:
Let W = width
Let L = length
Length is 4 less than 3 times the width ==> L = 3*W - 4
Let P = Perimeter = 2*W + 2*L
Perimeter is 22 more than twice the width ==> P = 2*W + 22
Setting the 2 expressions for the perimeter equal to each other gives
2*W + 2*L = 2*W + 22
2*L = 22
L = 11
So 11 = 3*W - 4
3*W = 15
W = 5
The length is 11 and the width is 5
Check: 3*W - 4 = 11 = Length
Perimeter = 32 = 22 more than 2*5 = 10
The price of a gallon of milk increased from $5.50 to $7.50. Describe the price increase as a percent.
Answers
Step-by-step explanation:
7.50= (1 + x/100 ) × 5.50
7.50/ 5.50 = 1+x/100
x/100 = 0.36
x= 36.36%
18,000 - 2/3
giving brainly
Answers
Answer:
17999.3333333
Step-by-step explanation:
I used my calculator
In 2010, the population of a city was 120,000. From 2010 to 2015, the population
grew by 7%. From 2015 to 2020, it fell by 3%. How much did the population grow
from 2010 to 2015, to the nearest 100 people?
Answers
The population growth from 2010 to 2015, to the nearest 100 people is 128,400.
Explain the term percentage growth?When comparing these two values over a specified time period, you can apply a computation known as growth percentage, commonly referred to as growth rate.For the stated question-
From 2010 to 2015: population growth - 7%.From 2015 to 2020: population decline - 3%Initial population in 2010 - 120,000.So, population growth during 2010 to 2015.
Initial population + 7% of Initial population
= 120,000 + 7% of 120,000
= 128,400
Thus, the population growth from 2010 to 2015, to the nearest 100 people is 128,400.
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Y = -16x^2 + 119x + 57
Answers
Answer:
y1=-6.92
y2=-0.5146
Step-by-step explanation:
HELP SOON PLEASE!!!!!
Answers
pls help me solve this
Answers
The results of operations between vectors are, respectively:
Case A: u + w = <- 3, - 1>
Case B: - 6 · v = <6, 6>
Case C: 3 · v - 6 · w = <- 21, - 15>
Case D: 4 · w + 3 · v - 5 · u = <39, 4>
Case E: |w - v| = √(4² + 3²) = 5
How to determine the operations between vectors
In this problem we must determine the operations between vectors, this can be done by following definitions:
Vector addition
v + u = (x, y) + (x', y') = (x + x', y + y')
Scalar multiplication
α · v = α · (x, y) = (α · x, α · y)
Norm of a vector
|u| = √(x² + y²)
Now we proceed to determine the result of each operation:
Case A:
u + w = <- 6, - 3> + <3, 2>
u + w = <- 3, - 1>
Case B:
- 6 · v = - 6 · <- 1, - 1>
- 6 · v = <6, 6>
Case C:
3 · v - 6 · w = 3 · <- 1, - 1> - 6 · <3, 2>
3 · v - 6 · w = <- 3, - 3> + <- 18, - 12>
3 · v - 6 · w = <- 21, - 15>
Case D:
4 · w + 3 · v - 5 · u = 4 · <3, - 2> + 3 · <- 1, - 1> - 5 · <- 6, - 3>
4 · w + 3 · v - 5 · u = <12, - 8> + <- 3, - 3> + <30, 15>
4 · w + 3 · v - 5 · u = <39, 4>
Case E:
|w - v| = |<3, 2> - <- 1, - 1>|
|w - v| = |<4, 3>|
|w - v| = √(4² + 3²) = 5
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Question
The figure shows the dimensions of two city parks, where ARST XYZ and YX YZ.A city
employee wants to order new fences to surround both parks. What is the total length of the fences
required to surround the parks?
R
х
230 ft.
T
Z
S
350 ft.
Y
The total length of fences needed to surround the parks is
feet.
Answers
Answer:
1860
Step-by-step explanation:
The triangles are reflections of each other and since YX=YZ we know that YZ=350
add 350+350+230=930
930×2=1860 - for both parks
A bond is worth $100 and grows in value by 4 percent each year. Assuming this bond compounds quarterly, what is the value of the bond after 5 years?
Responses
$121.67
$122.02
$122.67
$120.00
Answers
Answer:it will be D
Step-by-step explanation: because $100 + 4%=$100.4
a family would like to build a linear regression equation to predict the amount of grain harvested per acre of land on their farm. they subdivide their land into several smaller plots of land for testing and would like to select an explanatory variable they can control. which of the following is an appropriate explanatory variable that the family could use to create a linear regression equation?
Answers
The correct option is (E) "The amount of fertilizer applied to each plot of land." In this linear regression equation, the family needs to select an explanatory variable that they can control and that can affect the amount of grain harvested per acre of land.
Out of the given options, "amount of fertilizer applied to each plot of land" is the most appropriate explanatory variable that the family could use to create a linear regression equation. By controlling the amount of fertilizer used, the family can investigate the relationship between fertilizer and the amount of grain harvested per acre of land. They can then use this relationship to predict the amount of grain they can harvest if they use a certain amount of fertilizer in the future. so, the correct option is (E).
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____The given question is incomplete, the complete question is given below:
A family would like to build a linear regression equation to predict the amount of grain harvested per acre of land on their farm. they subdivide their land into several smaller plots of land for testing and would like to select an explanatory variable they can control. which of the following is an appropriate explanatory variable that the family could use to create a linear regression equation? А The total amount of rainfall recorded at their farm B The type of crop planted in the plot the previous year с The average daily temperature at their farm D The variety of grain planted in the plot E The amount of fertilizer applied to each plot of land i
Can you write a quadratic function in vertex form?
Answers
You can write the quadratic function y = ax^2 + bx + c in the vertex form y = a(x - h)^2 + k
The standard form of the quadratic function is
y = ax^2 + bx + c
Where a, b and c are numbers not equal to zero
The graph of the quadratic function is parabola.
Therefore the parabola or the quadratic function can be expressed in terms of vertex form
The standard from of vertex from is
y = a(x - h)^2 + k
Where a is the constant that tell the whether the parabola is facing up or down
(h, k) is the coordinates of the vertex of the parabola
h = -b / 2a
k = f(h)
Therefore, it is possible to write a quadratic function in vertex form
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Write the equation of the line containing the points (-1,-2) and (3,4) in standard form.
x + 2y = -5
3x - 2y = -5
2x - 3y = -4
3x +2y = 5
Answers
Answer:
c
Step-by-step explanation:
got it right
Question
AABC and AXYZ are similar triangles. The lengths of two sides of each triangle are shown. Find the lengths of the third
side of each triangle.
с
y = c =
6.5
Provide your answer below:
A
12
C
B
Z
y
4.8
3
Y
Answers
Answer:
AABC and AXYZ are similar triangles. The lengths of two sides of each triangle are shown. Find the lengths of the third side of each triangle
Multiplying 10x² and (2x²)² we get …..
Answers
Hi there!
\(\large\boxed{40x^{6}}\)
Begin by simplifying (2x²)²
2² · (x²)² <-- Power rule for exponents, multiply them together:
4 · x⁴ = 4x⁴
Multiply by 10x². ADD exponents when multiplying.
10x² · 4x⁴ = 40 · x²⁺⁴
40x⁶
Find the perimeter of the following polygon. Be sure to include the correct unit in your answer. 14 in 16 in 16 in
Answers
Answer:
Step-by-step explanation:
14in + 16in + 16in = 46in
all you do is add the numbers to get the total.
can someone please help me
please show work
Answers
The arc length and area of each circle sector is:
Case 1: s = 121π / 12 yd, A = 1331π / 24 yd²
Case 2: s = 35π / 3 in, A = 245π / 3 in²
Case 3: s = 17π / 6 ft, A = 17π / 4 ft²
Case 4: s = 11π / 2 in, A = 33π / 2 in²
Case 5: s = 116π / 9 yd, A = 928π / 9 yd²
Case 6: s = 13π / 12 ft, A = 13π / 8 ft²
How to determine the arc length and the area of a circle sector
In this problem we need to determine the arc length (s), in yards or inches, and the area (A), in square yards or square inches, of a circle sector, whose formulas are listed below:
Arc length
s = (θ / 180) · π · r
Area
A = 0.5 · (θ / 180) · π · r²
Where:
θ - Measure of the central angle, in degrees. r - Radius, in yards or inches.Now we proceed to determine the arc length and the area for each case:
Case 1 (r = 11 yd, θ = 165°)
s = (165 / 180) · π · 11
s = 121π / 12 yd
A = 0.5 · (165 / 180) · π · 11²
A = 1331π / 24 yd²
Case 2 (r = 14 in, θ = 150°)
s = (150 / 180) · π · 14
s = 35π / 3 in
A = 0.5 · (150 / 180) · π · 14²
A = 245π / 3 in²
Case 3 (r = 3 ft, θ = 170°)
s = (170 / 180) · π · 3
s = 17π / 6 ft
A = 0.5 · (170 / 180) · π · 3²
A = 17π / 4 ft²
Case 4 (r = 6 in, θ = 165°)
s = (165 / 180) · π · 6
s = 11π / 2 in
A = 0.5 · (165 / 180) · π · 6²
A = 33π / 2 in²
Case 5 (r = 16 yd, θ = 145°)
s = (145 / 180) · π · 16
s = 116π / 9 yd
A = 0.5 · (145 / 180) · π · 16²
A = 928π / 9 yd²
Case 6 (r = 3 ft, θ = 65°)
s = (65 / 180) · π · 3
s = 13π / 12 ft
A = 0.5 · (65 / 180) · π · 3²
A = 13π / 8 ft²
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.5674 to the nearest whole number
.5674 to the nearest tenths
.5674 to the nearest hundredth
.5674 to the nearest thousandth
Answers
Answer:3
Step-by-step explanation:5674