Karoline needs to jog 30.5 miles over the next 7 days to train for a race.
She plans to jog 4.25 miles each day.
Use the drop-down menus to complete the statements about her race training
Answer:
If she plans to jog 4.25 miles each day then 4.25 * 7 would equal 29.75. This is the first answer.
In order to get the second answer, we need to subtract 30.5 (What she needs to jog) over 29.75 (how much she is planned to job over the next 7 days). So 30.5 - 29.75 = 0.75
Here is the math I did to get 0.75:
= 30.5 - 29.75
= 30.5 + -29.75
= 0.75 (Answer)
Hopefully this helped :D
Step-by-step explanation:
Use the graph to determine the domain and range of the function.
Q
(-8,5)
20-
16-
-20-16-12-8-4
(-12,-11)
8-
st
-8-
-12-
-16-
-20
(1-1)
(-2,-4)
X
4 8 12 16 20
Q
5
hs
HEE
The domain is
(Type your answer in inte
The domain is {-8, -12, 1, -2} and the range is {5, -11, -1, -4}
How to determine the domain and the rangeFrom the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we have
(-8,5) (-12,-11) (1-1) (-2,-4)
The domian is the set of the input values
Using the ordered pairs as a guide, we have
Domain = {-8, -12, 1, -2}
For the range, we have
The range is the set of the output values
So, we have
Range = {5, -11, -1, -4}
Hence, the range is {5, -11, -1, -4}
Read more about domain and range at
brainly.com/question/2264373
#SPJ1
To write a linear equation in point-slope form for a given graph:
First, find the
Choose...
of the line using riserun or the
Choose...
.
Next, substitute the
Choose...
and the
Choose...
into the point-slope formula.
Finally, remember to
Choose...
if possible.
The linear equation in point slope form for the graph given below is y = (4/3)x - 1/3 .
In the question ,
a graph with the line is given
also given that the line passes through the points (1 , 1) and (4 , 5) .
in order to find the linear equation , we first need to find the slope .
slope = (5 - 1)/(4 - 1)
slope = 4/3
So , the linear equation of the line passing through the point (4 , 5) with slope 4/3 , in point slope form is
(y - 5) = (4/3)×(x - 4)
y - 5 = (4/3)x - 16/3
y = (4/3)x - 16/3 + 5
y = (4/3)x -80/15 + 75/15
y = (4/3)x -5/15
y = (4/3)x - 1/3
Therefore , The linear equation in point slope form is y = (4/3)x - 1/3 .
The given question is incomplete , the complete question is
Write a linear equation in point - slope form for the graph given below ?
Learn more about Equation Of Line here
https://brainly.com/question/25337596
#SPJ1
Modeling Real-World Problems with Composite Functions
A retailer is having a promotional sale for 35% off all items. There is a 7% sales tax added to the price. Which
represents the situation, where x is the original cost of the item(s)?
Of(x) = 0.35x represents the diseount price and g(x) = 0.07x represents the price after taxes. The total price would
be (fog)(x) = 0.35(0.07x) = 0.0245x.
Of(x) = 0.65x represents the discount price and g(x) = 0.07x represents the price after taxes. The total price would
be (fºg)(x) = 0.65(0.07x) = 0.0455x.
Of(x) = 1.07x represents the price after taxes and g(x) = 0.65x represents the discount price. The total price would
be (fºg)(x) = 1.07(0.65x)= 0.6955x
O f(x) = 1.07x represents the price after taxes and g(x) = 0.35x represents the discount price. The total price would
be (fog)(x) = 0.35(1.07x)=0.3745x.
Answer:
The third option: (f°g)(x)=1.07(0.65x)=06955x
Step-by-step explanation:
The reason I chose this is because 0.65x is the discount price. That's because 35% off is the same as 1.00-0.35 which equals 0.65. After that you would multiply that discount price by 1.07 because you want the 7% sales tax added on to the discount price. Therefore, I would choose the third option as my answer.
Find the slope and y-intercept of the line.
5x + 3y = 45
Find the slope. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The slope of the line is (Simplify your answer. Type an integer or a fraction)
OB. The slope of the line is undefined.
(Answer quickly)
Answer:
Slope: −53-53
y-intercept: (0,15)
Given m ∥ n, find the value of x.
given that m is parallel to n,
the angle opposite (2x + 16)° is also (2x + 16)° as vertically opposite angles are equal.
using the corresponding angle rule we know that:
2x + 16 = 96
2x = 80
so x = 40
17/13 = y/10 solve for y and round to the nearest tenth
\( \frac{17}{13} = \frac{y}{10} \)
\(17 \times 10 = y \times 13\)
\(170 = 13y\)
\(y = \frac{170}{3} = 56.6666....\)
56.6666... to the nearest tenth is 57.
Math question help pls
Answer:
the circumference of the circle is 50.24
|3y - 7| - 10 = -5 solve for y:
Answer: y=1.25
Step-by-step explanation:
First things first you have to find what is in the bracket things (i don’t know what it’s called) So 3 - 7 is -4y but since it’s absolute it’s going to be 4y.
So now you’ve got 4y - 10 = -5. Your going to want to eliminate 10 so, subtract 10 to both sides giving you 4y = -5
Lastly to get y by itself you need to divide it by its self so, 4y divided by 4. Do it to both sides. This gives you…
Y = 1.25
Kevin spent $250 at plaza extra. this was 16 dollars less than twice what he spent at cost-u-less. how much did he spend at Cost-u-less explain and show work
1. A. What is the formula for the Pythagorean Theorem? (1 point)
B. Find the missing leg of the triangle using the Pythagorean Theorem. Remember that drawings may not be to scale (Round to the nearest tenth).
Show your work. (4 points)
20 ft
18 ft
x
Answer:
side 1^2 + side 2 ^2 = hypotenuse ^ 2
18^2 + 20^2 = hypotenuse^2
324 + 400 = 724
hypotenuse^2 = 724
hypotenuse = 26.9072480941474
hypotenuse = 26.9
Step-by-step explanation:
does anyone know how to solve this?
Just put -2 in,where X is and get your answer that way
Find the volume of a sphere with a radius of 12.5cm. (Note: Take the value of π as 3.14.) Round your answer to the nearest thousandth, if necessary.
The volume of the sphere is approximately 8181.510 cm³.
The volume of a sphere is the amount of space that is enclosed within the surface of a sphere.
It is a measure of the three-dimensional space that is contained within the sphere.
The volume of a sphere is used in a variety of fields, such as physics, engineering, and architecture, to calculate the space enclosed by a sphere or a spherical object, such as a planet or a ball.
The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius of the sphere. Substituting r = 12.5 cm and π = 3.14, we get:
V = (4/3) × 3.14 × (12.5 cm)³
V ≈ 8181.51 cm³
The volume of the sphere is approximately 8181.510 cm³.
To know more about the volume of the sphere follow
https://brainly.com/question/22807400
#SPJ1
income from operations of $231,000. In addition, it received interest income of $23,100 and received dividend income of $29,700 from another corporation. Finally, it paid $11,000 of interest income to its bondholders and paid $45,000 of dividends to its common stockholders. The firm's federal tax rate is 21%. What is the firm's federal income tax? Do not round intermediate calculations. Round your answer to the nearest dollar.
The firm's federal income tax is $57,168.
To calculate the firm's federal income tax, we need to determine its taxable income first. Taxable income is calculated by subtracting deductions from the firm's total income.
In this case, the firm's total income consists of income from operations, interest income, and dividend income.
Total income:
Income from operations = $231,000
Interest income = $23,100
Dividend income = $29,700
Total income = $231,000 + $23,100 + $29,700 = $283,800
Next, we deduct expenses from the total income. In this case, the only relevant expense is the interest paid to bondholders:
Total expenses = Interest paid to bondholders = $11,000
Taxable income = Total income - Total expenses = $283,800 - $11,000 = $272,800
Now, we can calculate the federal income tax by applying the federal tax rate of 21% to the taxable income:
Federal income tax = Taxable income * Federal tax rate
Federal income tax = $272,800 * 0.21 = $57,168
Therefore, the firm's federal income tax is $57,168.
For more such questions on tax,click on
https://brainly.com/question/28414951
#SPJ8
The storage capability of computers has been doubling every 5 years since the first computers were invented in the 1960s. If the first computer could store .5 megabytes, about how many megabytes can today's computers store? How long did it take for computers to store 100 megabytes?
It takes time of near about 35 year.
Given that,
Storage capability of computers has been doubling every 5 years
The date of 1st computer made = 1980
computer could store 5 megabytes,
Now,
We can use the following calculation to determine how long it took computers to store 100 megabytes:
Therefore,
Log₂ (final amount / beginning amount)
= Log₂ (100 / 0.5)
= log₂ (200)
= 7.64 is the number of doublings.
If each doubling takes five years, then it would take computers just over seven doublings or almost 35 years to store 100 megabytes.
To learn more about exponential function visit:
https://brainly.com/question/14355665
#SPJ1
multiply (x-2)(3x+4) using the distributive property select the anwser choice showing the correct anwser
A (x-2)(3x)+(3x)(4)
B (x-2)(3x)+(x-2)(4)
C (x)(3x)+4(x)+3x+4
D (x)(3x+4)+(x-2)
Answer:
Tbh this question has me confused, but I would go with C? If the question is looking for the distributive property, then C may be the way to go.
identify the true statement:
A. Mammals are producers.
B. Plants are consumers
C. Birds are producers
D. Mammals are consumers
Answer:
D, they eat so consumers.
Step-by-step explanation:
A white square with side length x is inscribed in a black circle as shown.
The circle has a radius of 8 feet. Enter an approximate side length for x, in feet, to the nearest
tenth of a foot.
The calculated value of the length x of the square is 11.3 feet
Calculating the length x of the squareSince the square is inscribed in the circle, its diagonal will be equal to the diameter of the circle, which is 16 feet.
Let's use the Pythagorean theorem to find the length of a side of the square:
x² + x² = 16²
2x² = 256
x² = 128
x ≈ 11.3 feet (rounded to the nearest tenth of a foot)
Therefore, the approximate side length of the square is 11.3 feet.
Read more about circle at
https://brainly.com/question/25871159
#SPJ1
In 92,542 what’s ten times that amount
Answer:
945,420
Step-by-step explanation:
Pls help!
Whoever answers in a few minutes with a clear answer will be marked brainiest!!!
Use exponent laws to write each expression with a positive power
Answer:
a. \(\tt \frac{1}{9}\)
b. \(\frac{1}{16}\)
c. 4
Step-by-step explanation:
\(\tt a. \:3^{-2}\)
We can use the negative exponent rule, which states that \(\boxed{\tt a^{-n} = \frac{1}{a^n}}\) So, we have:
\(\tt 3^{-2} = \frac{1}{3^2} = \frac{1}{9}\)
\(\hrulefill\)
\(\tt b.\: -2^{-4}\)
We can use the rule that \(\boxed{\tt -a^{-n} = (-1)^n \cdot a^n}.\) So, we have:
\(\tt -2^{-4} = (-1)^4 \cdot 2^{-4} = 1 \cdot \frac{1}{2^4} = \frac{1}{16}\)
\(\hrulefill\)
\(\tt c. \:(\frac{1}{2})^{-2}\)
We can use the negative exponent rule, which states that \(\boxed{\tt a^{-n} = \frac{1}{a^n}}\). So, we have:
\(\tt (\frac{1}{2})^{-2} = \frac{1}{(\frac{1}{2})^2} = \frac{1}{\frac{1}{4}} = 4\)
Answer:
Step-by-step explanation:
(a) 3^-2 = 1/9
(b) (-2)^-4 = 1/(-2)^4 = 1/16
(c) (1/2)^-2 = 1/(1/2)^2=1 / 1/4 = 4
How many centilitres are in 156000m^3
9514 1404 393
Answer:
1.56×10^10 cL
Step-by-step explanation:
There are 1000 liters in a cubic meter, so 10^5 centiliters in a cubic meter. The 1.56×10^5 cubic meters will then have ...
(1.56×10^5 m^3)×(10^5 cL/m^3) = 1.56×10^10 cL
_____
That's 15,600,000,000 cL.
"Centi-" is a prefix meaning 1/100.
Simplify. 3/4−4x+1/2x−1/2+1/2x Enter your answer in the box. Do not use decimals in your answer
Answer:
-3x+1/4
Step-by-step explanation:
hope this helps!
Answer:
-3x+1/4
Step-by-step explanation:
i got it right on k12
You are shopping for jeans. City Express sells 3 pairs of jeans for $55. Denim Planet sells 2 pairs of jeans for $83. New Threads sells 4 pairs of Jeans for $133. Which store has the best deal?
A. All Jeans are the same price
B. New Threads
C. Denim Planet
D. City Express
Answer:
D.City express
Step-by-step explanation:
because the one for 2 pairs is too much money for only two pairs and the new threads is way too much for only 4 pairs so the answer will be D
-2|10 + 5x|-8=-16
How do I solve?
Answer:
so the answer is
x = -6/5, - 14/ 5
Step-by-step explanation:
i hope this is what your looking for
Answer:
5/6 and -26/5
Step-by-step explanation:
-16 divide -2 = 8
Add 8 = 16
Remove absolute value
Positive 16 - 10 = 6
Divide 5 = 6/5
Negative -16 - 10 = -26
Divide 5 = -26/5
A bag contains marbles: , , and . draws one marble from the bag.
a. What is the probability that will draw a marble?
b. What is the probability that will draw a marble that is not ?
c. What is the probability that will draw a , , or marble?
Question content area bottom
Part 1
a. The probability that will draw a marble is
enter your response here.
(Type an integer or a fraction.)
c. since there are only three marbles in the bag, drawing any one of them is certain, so the probability of drawing a , , or marble is 1.
What about other options?
Given that the bag contains marbles: , , and .
a. The probability of drawing a marble is 1/3.
There is only one marble in the bag, and the total number of marbles is 3. So the probability of drawing a marble is 1/3.
b. The probability of drawing a marble that is not is 2/3.
There are two marbles that are not in the bag, and the total number of marbles is 3. So the probability of drawing a marble that is not is 2/3.
c. The probability of drawing a , , or marble is 1.
Since there are only three marbles in the bag, drawing any one of them is certain, so the probability of drawing a , , or marble is 1.
To know more about probability related question visit:
https://brainly.com/question/30034780
#SPJ1
Pls help !!!!!!!!!!!!!!!!
Answer:
median: 6
Range: 9
Mode: 7
Step-by-step explanation:
Answer:
a) 6
b) 0
c) 7
Step-by-step explanation:
a) the middle number in a sorted ascending or descending order.
b) the difference between the highest number and the lowest
c) The most frequent number
Order cube root of eighty-eight, twenty-eight ninths, square root of nineteen from greatest to least.
cube root of eighty-eight, twenty-eight ninths, square root of nineteen
twenty-eight ninths, square root of nineteen, cube root of eighty-eight
twenty-eight ninths, cube root of eighty-eight, square root of nineteen
cube root of eighty-eight, square root of nineteen, twenty-eight ninths
Answer:
(a) twenty-eight ninths, square root of nineteen, cube root of eighty-eight
Step-by-step explanation:
When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.
OrderThe attachment shows the ordering, least to greatest, to be ...
\(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)
__
Additional comment
We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.
One way to do the comparison is to convert these to values that need to have the same root:
√19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)
∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)
The roots will have the same ordering as 19³ and 88².
Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...
19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859
88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744
Then the ordering is ...
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Answer:
the ordering is
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Step-by-step explanation:
Solve the following system of equations and state whether the system is dependent, independent, or inconsistent.4x+3y=12And4x-3y=12
Given:
\(\begin{gathered} 4x+3y=12 \\ 4x-3y=12 \end{gathered}\)Required:
To solve the system of equation using graph and to state whether the system is dependent, independent, or inconsistent.
Explanation:
Consider the equation
\(4x+3y=12\)When x=0,
\(\begin{gathered} 0+3y=12 \\ 3y=12 \\ y=\frac{12}{3} \\ y=4 \end{gathered}\)When x=3,
\(\begin{gathered} 12+3y=12 \\ 3y=12-12 \\ 3y=0 \\ y=0 \end{gathered}\)Now consider the equation
\(4x-3y=12\)When x=0,
\(\begin{gathered} 0-3y=12 \\ -3y=12 \\ y=-\frac{12}{3} \\ y=-4 \end{gathered}\)When x= 3,
\(\begin{gathered} 12-3y=12 \\ -3y=12-12 \\ -3y=0 \\ y=0 \end{gathered}\)The graph of the given system of equation is,
The blue graph is graph of 4x+3y=12 and the black graph is graph of
4x-3y=12.
The two line crosses at the point (3,0).
Therefore the solution is
\(\begin{gathered} x=3 \\ y=0 \end{gathered}\)Here the solution is one.
Therefore the consistent system has exactly one solution, it is independent .
Final Answer:
The solution of the given system of equation is
\(\begin{gathered} x=3 \\ y=0 \end{gathered}\)The consistent system has exactly one solution, it is independent .
A football coach needs to divide 48 players into two groups he wants the ratio of players in group one to players and group 2 to be 1 to 3 how many players will be in group 2
Answer: 36
Step-by-step explanation: If the coach wants to divide the team by the ratio of 1 to 3, then we will take 48 and divide by 4.
This leaves us with 12 x 4 = 48. Then we calculate 48 - 12 = 36
Now you have your 1 to 3 ratio with the teams being split into team 1 with 12 and team 2 with 36.
Given the following model
Y=C+I0+g0
C=a+b (y-t)
t=d+ty
(a>0, 0 0, 0< t <1) t: income taxes
a) How many endogenous variables are there?
b) Find Y, C, and T
Answer:
Step-by-step explanation:
a) To determine the endogenous variables, we need to identify the variables that are determined within the model equation. In the given model, the endogenous variable is Y (output or national income).
b) Let's find Y, C, and T step-by-step:
Start with the equation Y = C + I0 + g0.
Substitute C from the equation C = a + b(y - T).
Y = (a + b(y - T)) + I0 + g0.
Substitute T from the equation T = d + tY.
Y = (a + b(y - (d + tY))) + I0 + g0.
Expand the equation:
Y = a + by - bd - btY + I0 + g0.
Rearrange the equation to isolate Y:
Y + btY = a + by - bd + I0 + g0.
Y(1 + bt) = a + by - bd + I0 + g0.
Y = (a + by - bd + I0 + g0) / (1 + bt).
Now, Y is expressed in terms of the exogenous variables a, b, d, I0, g0, and the endogenous variable Y itself, along with the parameter t.
To find C and T, we can substitute the obtained Y value back into the respective equations:
Substitute Y into the equation C = a + b(y - T):
C = a + b(y - T) = a + b(y - (d + tY)) = a + by - bd - btY.
C = a + by - bd - bt[(a + by - bd + I0 + g0) / (1 + bt)].
Now, C is expressed in terms of the exogenous variables a, b, d, I0, g0, and the endogenous variable Y, along with the parameter t.
Substitute Y into the equation T = d + tY:
T = d + tY = d + t[(a + by - bd + I0 + g0) / (1 + bt)].
Now, T is expressed in terms of the exogenous variables d, t, and the endogenous variable Y, along with the parameters a, b, I0, and g0.
It's important to note that in the given model, there is only one endogenous variable, Y (national income/output). C and T are determined based on the values of Y and the exogenous variables.