Answer: C
Step-by-step explanation:
1. divide 3 by 2 to find out how many pounds of blueberries she picked each day. 3/2 is 1.5
2. multiply 1.5 by 16 to convert to ounces. 1.5x16 is 24.
3. she picked 24 ounces of blueberries each day.
a=bc
Work out the value of c when
a=4 b=2
Answer:
c=2
Step-by-step explanation:
Divide the equation with b
a/b=c
4/2=c
c is equal to 2
A hotel manager is adding a tile border around the rectangular pool. Let represent the width of the pool in feet. The length is
feet more than
times the width, as shown. Write two expressions that represent the perimeter of the pool.
LOADING... Click the icon for a diagram of the pool.
Question content area bottom
Part 1
Which expressions will give the perimeter of the pool? Select all that apply.
Substituting into the formula for the perimeter of a rectangle, the perimeter is \(2\left(n+3 \frac{1}{2} n +4 \frac{1}{2} \right)=2n+7n+9=\boxed{9n+9}=\boxed{9(n+1)}\)
A hungry Emperor penguin was swimming 21 feet below sea level. It swam up 9 feet to eat a fish. What is the answer
Answer:
12
Step-by-step explanation:
21-9=12
Answer:
-12
Step-by-step explanation:
I did it
f(x)=3^x+1 and g(x) = 2x-4, find f(2) - g(-1)
Answer:
16
Step-by-step explanation:
3^x +1 = f(X)
2x-4 = g(x)
find f(2)-g(-1)
we substitute in function f(X) by value (2), and in function g(X) by value (-1)
1. 3^x +1 becomes 3^2+1 =9+1=10
2. 2(-1)-4= -2-4=-6
then f(2)-g(-1)
= 10-(-6) =10+6=16
Jimmy's lunch box in the shape of a half cylinder on a rectangular box.
Find the total volume of metal needed to manufacture it
Answer:10cm 5cm 7 Jim's lunch box is in the shape of a half cylinder on a rectangular box. To the nearest whole unit, what is a The total volume it contains? b The total area of the sheet metal in 10 in needed to manufacture it? This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts
Step-by-step explanation:
Solve for x in simplest form.
Answer:
\(x=-\frac{4}{5}\)
Step-by-step explanation:
\(6=\frac{3}{4}(10x+16)\\\mathrm{or,\ }6\times 4=3(10x+16)\\\\\mathrm{or,\ }24=30x+48\\\\\mathrm{or,\ }-24=30x\\\\\mathrm{\therefore}\ x=-\frac{4}{5}\)
karla is offered a job as parking lot attendant. the job will pay 2400 per month, paid biweekly. along with the base salary, the company offers to pay half the cost of medical insurance and will match karlas contribution to a retirment plan up to a total of 1500. if the full cost of the medical insurance is 450 a month and karla plans to contribute the full 1500 every year tpa retirement plan, what is the actual annual value of this job to karla?
The actual annual value of this job to Karla is 33000.
What are arithmetic operations?
Arithmetic operations is a branch of mathematics that studies numbers and the operations on numbers that are useful in all other branches of mathematics. It consists primarily of operations like addition, subtraction, multiplication, and division.
We have,
the job will pay 2400 per month,
if the full cost of the medical insurance is 450 a month and Karla plans to contribute the full 1500 every year tpa retirement plan,
the actual annual value of this job to Karla is:
2400 per month
annual value = 2400 * 12 = 28,800
the medical insurance is 450 a month
half the cost of medical insurance is 225 a month
annual value = 225 * 12 = 2700
the full 1500 every year tpa retirement plan,
So, the total value is:
= 28,800 + 2700 + 1500
= 33000
Hence, the actual annual value of this job to Karla is 33000.
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Enter the ordered pair for the vertices for (Ry-axis T(2, 0))(QRST).
I need help with this please help me
Answer:
Q'(-3, 5)R'(-5, -1)S'(-2, 0)T'(0, 3)Step-by-step explanation:
You want the coordinates of the vertices of QRST after it has been translated right 2 units, then reflected across the y-axis. The original coordinates are Q(1, 5), R(3, -1), S(0, 0), T(-2, 3).
Composition of TransformationsThe problem statement is written as a composition of the transformations Ry and T(2,0). A composition of functions is generally executed right to left, meaning the translation will be done first, then the reflection.
TranslationThe numbers in the translation vector are added to the coordinates:
(x, y) ⇒ (x+2, y+0)
ReflectionReflection over the y-axis changes the sign of the x-coordinate:
(x, y) ⇒ (-x, y)
ApplicationThen the composition of transformations is ...
(x, y) ⇒ (-(x+2), y)
Q(1, 5) ⇒ Q'(-3, 5)
R(3, -1) ⇒ R'(-5, -1)
S(0, 0) ⇒ S'(-2, 0)
T(-2, 3) ⇒ T'(0, 3)
3,000 ÷ 50=300 ÷ 5 =?
The income of a computer analyst varies directly as the number of hours worked. If the analyst earned $256 for working 8 hours, what is the constant variation?
Answer:
$32 per hour
Step-by-step explanation:
if a person makes $256 per 8 hours then we can divide 256 by 8 so that we get the unit of dollars per hour.
$256/8 hour= $32 per hour
you can write this as k=y/x
which can also be 32=256/8
Identify the vertex, equation of the axis of symmetry, y-intercept, and zeros of the graph of a quadratic function.
Answer:
See below ~
Step-by-step explanation:
Details of Graph
Vertex = (2, 1)Axis of symmetry : x = 2Y-intercept : -3Zeros : (1, 0) and (3, 0)If a fair coin is tossed 8 times, what is the probability, rounded to the nearest
thousandth,of getting at least 6 heads?
The probability of getting at least 6 heads is3/256 or 0.0117
What is probability ?Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.
Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes. Statistics is the study of occurrences that follow a probability distribution.
Probability is a measure of how likely something is to occur. Calculating probability involves dividing the total number of outcomes by the number of possible ways an event may occur.
Given that,
A fair coin is tossed = 8 time.
We have to find the probability of getting at least 6 heads.
Since, the probability of getting head, when one coin is tossed = 1/2
And the probability of getting tale = 1/2
The probability of getting head at least 6 times when coin is tossed 8 times can be given as,
The head can come 6 times, then probability = \((1/2)\x^{6} (1/2)\x^{2}\) = (1/2)⁸
The head can come 7 times, then probability = (1/2)⁷(1/2) = (1/2)⁸
The head can come 8 times, then probability = (1/2)⁸
The probability of getting head at least 6 times
= (1/2)⁸ + (1/2)⁸ + (1/2)⁸ = 3(1/2)⁸ = 3/256 = 0.0117
The probability of getting at least 6 heads is3/256 or 0.0117
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A line's y-intercept is -10, and its slope is 1. What is its equation in slope-intercept form?
Answer:
\(y=1x-10\)
Step-by-step explanation:
\(y=mx+b\)
m(slope) = 1
b(y-intercept) = -10
\(y=1x-10\)
✨Hope this helps✨
what is the range of f(x)= sin -1(x)
To pay for a home improvement project that total is $20,000 a homeowner is choosing between two different credit card loans with an interest rate of 7% the first credit card compounds interest quarterly or the second credit card compounded monthly the homeowner plans to pay off the loan in 10 years part a determine the total value of a loan with the quarterly compounded interest Show all work and round your answer to the nearest hundred part B determine the total value of the loan with the monthly compounded interest show all work and round your answer to the nearest hundredth Park see what is the difference between the total interest accrued on each loan explain your answer in complete sentences
A. The total value of the loan with quarterly compounded interest is $52,400.
B. The total value of the loan with monthly compounded interest is $52,010.04
How did we get the values?Part A: Total value of the loan with the quarterly compounded interest
To find the total value of the loan, we'll use the formula for compound interest:
A = P * (1 + r/n)^(nt)
Where:
A = final amount (loan + interest)
P = principal amount (initial loan) = $20,000
r = interest rate = 7% = 0.07
n = number of times compounded per year = 4 (quarterly)
t = number of years = 10
Plugging in the values, we get:
A = $20,000 * (1 + 0.07/4)^(4 * 10)
A = $20,000 * (1.0175)^40
A = $20,000 * 2.620075
A = $52,401.51
Rounding to the nearest hundred, the total value of the loan with quarterly compounded interest is $52,400.
Part B: Total value of the loan with the monthly compounded interest
To find the total value of the loan with monthly compounded interest, we'll use the same formula with a different value of n:
A = P * (1 + r/n)^(nt)
Where:
n = number of times compounded per year = 12 (monthly)
Plugging in the values, we get:
A = $20,000 * (1 + 0.07/12)^(12 * 10)
A = $20,000 * (1.005833)^120
A = $20,000 * 2.600502
A = $52,010.04
Rounding to the nearest hundredth, the total value of the loan with monthly compounded interest is $52,010.04
The difference between the two loans is $52,401.51 - $52,010.04 = $391.47
The difference between the two loans is due to the higher frequency of compounding in the monthly compounded interest loan. The interest is compounded more times per year, so the interest is accumulating on the interest more quickly, leading to a higher overall interest charge.
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1) What is the sample space for the given situation?
A) [2, 3, 4, 5, 6, 7, 8, 9)
B) [3, 4, 5, 6, 7, 8, 9)
(1,3,5,7,9
D) {3,5,7)
Please help
Answer:
false_(a) 3 € {2,4,6,8} false_(b) 0 € false (c) {1} € {1, 2, 3} true_(d) {2} S {1, 2, 3} true (e) {1, 3, 5, 7, 9) = {1, 5, 9, 3, 7) false_(f) {1,3,5, 9) = {1,3,5,9} true_ () Ø Ç {1,3
Step-by-step explanation:
i don't know about this is this it ?
which of the following is most likely the next step in the series
Answer:
A.
Step-by-step explanation:
Let's think of this as a clock. We can see that the 2 lines start in the same place, around 3 o'clock. Next, one of the line segments shifts down to around 6 o'clock. Next, it shifts to about 9 o'clock. Logically, the next step (in a clock) would be 12 o'clock, making A the correct choice.
We can also just use a regular circle, with one of the line segments moving 90 degrees each time.
Hope this helps! :)
O
X
y
X
y
X
y
X
y
0
2
0
0
-1
0
1
0
5
2
113
1
2
2
8
4
WIN
3
3
4
11
2.5 -2.5-7.5 -12.5
6
W/W
5
6
Select all table’s that represent proportional relationship between x and y
All tables that represent proportional relationship between x and y are:
B. table B.
E. table E.
What is a proportional relationship?In Mathematics and Geometry, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:
y = kx
Where:
y represents the x-variable.x represents the y-variable.k is the constant of proportionality.Next, we would determine the constant of proportionality (k) by using various data points as follows:
Constant of proportionality, k = y/x
Constant of proportionality, k = (20 - 15)/(10 - 5) = (5 - 4)/(1 - 0)
Constant of proportionality, k = 1.
Therefore, the required linear equation is given by;
y = kx
y = x
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Question 1 of 5 Find the volume of the figure. 4 cm 4 cm 8cm. A. 256 cm³ B. 192 cm³ C. 64 cm³ D. 128 cm³ . QUICK DUE TODAY
The correct option for this question is D. 128 cm³
How to solve and what is a Rectangular Prism?
The figure described in the question is a rectangular prism with dimensions of 4 cm by 4 cm by 8 cm. To find the volume of the figure, we simply multiply these three dimensions together:
Volume = length x width x height = 4 cm x 4 cm x 8 cm = 128 cubic centimeters
Therefore, the answer is D. 128 cm³.
A rectangular prism, also known as a rectangular parallelepiped, is a three-dimensional shape that has six rectangular faces. A rectangular prism is formed by taking a rectangle and extruding it perpendicular to its plane.
It has three pairs of parallel faces, with opposite faces being congruent and parallel to each other. The length, width, and height of a rectangular prism are its three dimensions, and they are all perpendicular to each other. The volume of a rectangular prism can be found by multiplying its length, width, and height together.
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Solve the following quadratic equation for all values of x in simplest form. 2(x + 5)^2 – 3 = 1
Answer:
\(x = -5 + \sqrt{2}\) or \(x = -5 - \sqrt{2}\)
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
\(2(x+5)^2 - 3 = 1\) \(2x^2 + 20x + 47 = 1\)Step 2: Subtract 1 from both sides.
\(2x^2 + 20x + 47 - 1 = 1 - 1\) \(2x^2 +20x + 46 = 0\)For this equation: a = 2, b = 20, c = 46
Step 3: Utilize quadratic formula with a = 2, b = 20, c = 46.
x = (-b ± √(b^2-4ac)/2ax = (-20 ± √(20^2 - 4·2·46)/2(2)x = (-20 ± √(32)/4\(x = -5 + \sqrt{2}\) or \(x = -5 - \sqrt{2}\)Therefore, the answer is \(x = -5 + \sqrt{2}\) or \(x = -5 - \sqrt{2}\).
Which of the following describes a rigid motion transformation?
A. Hitting a tennis ball over a net
B. Enlarging the size of a parking spot
C. Slicing a sandwich into 4 pieces
D. Dilating a picture
Answer:
Hitting a tennis ball over a net.
Step-by-step explanation:
B,C,D are non-rigid
Sarah has been an exemplary employee! The library has given her a 5% raise in recognition of
her hard work. If Sarah normally has a net salary of $212.50, what will Jessica’s net salary be now?
Remember, you calculated that 15% of Sarahs gross salary is withheld each week.
The correct value of Jessica's new net salary will be $225.
To calculate Jessica's new net salary after a 5% raise, we need to first determine Sarah's gross salary. We know that Sarah's net salary is $212.50, and 15% of her gross salary is withheld each week.
Let's denote Sarah's gross salary as "G." We can set up the following equation:
G - 15% of G = $212.50
Simplifying the equation, we have:
G - 0.15G = $212.50
0.85G = $212.50
G = $212.50 / 0.85
G ≈ $250
Sarah's gross salary is approximately $250.
Now, to find Jessica's new net salary after a 5% raise, we can calculate 5% of Sarah's gross salary and subtract the withheld amount:
Jessica's net salary = Sarah's gross salary + 5% of Sarah's gross salary - 15% of Sarah's gross salary
Jessica's net salary = $250 + 0.05 * $250 - 0.15 * $250
Jessica's net salary = $250 + $12.50 - $37.50
Jessica's net salary = $225
Therefore, Jessica's new net salary will be $225.
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a milha eh uma unidade usada para medir distancias. ela equivale a cerca de 1,6 quilometros. se cada carro percorrer 240 quilometros, quantas milhas tera percorrido? urgente
Classica aplicação de regra de 3:
é dito que: 1 milha = 1,6km
Logo, eis a regra de 3:
milha km
1 -------- 1,6
X -------- 240
1,6X = 240.1
X = 240/1,6
X = 150milhasLogo 240km equivalem a 150milhas
Which of the following tables of x- and y-values represents a function?
The tables of x- and y-values that represents a function include the following: C. table C.
What is a function?In Mathematics, a function is a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair in tables or relations.
This ultimately implies that, a function is typically used in mathematics for uniquely mapping an input variable (domain) to an output variable (range) representing a given scenario or situation such as the following:
x 1 3 7 5 2 4
y 6 6 6 6 6 6
In conclusion, we can reasonably infer and logically deduce that only table C represent a function.
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NO LINKS!! URGENT HELP PLEASE!!!
Please help me with Growth rate and Initial Value only
Answer:
growth rate: 4
y-value: 19
equation: y=4x+19
Step-by-step explanation:
Growth Rate:
The growth rate of a linear function is constant. This means that the function will increase or decrease by the same amount for every unit increase in x.
This can be found by dividing the change in y-values by the change in x-values.
For the question:
The change in y-values is 11-7=4,
and the change in x-values is +1.
Therefore, the growth rate is 4.
\(\hrulefill\)
Initial Value: The initial value of a linear function is the value of the function when x is 0.
In this case, the initial value is 19.
This can be found by looking at the y-value of the point where x is 0.
In this case, the y-value is 19.
\(\hrulefill\)Equation: The equation of a linear function is y = mx + b, where m is the slope and b is the y-intercept.
Using the table you provided, we can find the slope by using two points on the line.
Let’s use (-3, 7) and (1, 23).
The slope is (y2-y1)/(x2-x1)=(23-7)(1-(-3)=16/4=4
Now,
Taking 1 point (-3,7) and slope 4.
we can find the equation by using formula:
y-y1=m(x-x1)
y-7=4(x+3)
y=4x+12+7
y=4x+19
Therefore, the equation of the given table is y=4x+19\(\hrulefill\)
Answer:
Growth rate: 4
Initial value: 19
Equation: y = 4x + 19
Step-by-step explanation:
The slope of a linear function represents its growth rate.
Therefore, the growth rate of a linear function can be found using the slope formula.
Substitute two (x, y) points from the table into the slope formula, and solve for m. Substituting points (0, 19) and (1, 23):
\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{23-19}{1-0}=\dfrac{4}{1}=4\)
Therefore, the growth rate of the linear function is 4.
The initial value of a linear function refers to the y-intercept, which is the value of the y when x = 0.
From inspection of the given table, y = 19 when x = 0.
Therefore, the initial value of the linear function is 19.
To write a linear equation given the growth rate (slope) and initial value (y-intercept), we can use the slope-intercept formula, which is y = mx + b. The slope is represented by the variable m, and the y-intercept is represented by the variable b.
As the growth rate of the given linear function is 4, and the initial value is 19, substitute m = 4 and b = 19 into the slope-intercept formula to create the equation of the linear function represented by the given table:
\(\boxed{y=4x+19}\)
please help me. I really need it.
You have to find the answer on your own:
Step-by-step explanation:
Step 1:
JM - LM = JL
⇒ (5x - 8) - (2x - 6)
Step 2:
5x - 8 - 2x + 6
Add like terms
= 5x - 2x - 8 + 6
= 3x - 2
30 is what percent of 40?
The ration of girls to boys is 7:8. If there are 140 girls, how many boys are there?
Answer:
160
Step-by-step explanation:
140 divided by 7 equals 20, then you times the answer by 8, which you get 160.
A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,280 ft Determine the flag's width and length if the length is 380 ft greater
than the width
What is the width and length ?
Answer:
use area to help solve
Step-by-step explanation:
Answer:
The flags width is 330 ft and its length is 710 ft .
Step-by-step explanation:
Wait no sorry this is if the perimeter is 2,080