The correct answer is option A which is the equations which represent relationship between c and f is c = 7 / 3f.
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division
Given that:-
Clare has a recipe for yellow cake. She uses 9 1/3 cups of flour to make 4 cakes. Noah will follow the same recipe. He will make c cakes using f cups for flour.From the given data we can see that the amount of flour required is [tex]9\dfrac{1}{3}\[/tex] Cups or [tex]\dfrac{28}{3}[/tex] Cups for making 4 cakes.
So the expression will be written as:-
[tex]9\dfrac{1}{3}f = 4c[/tex]
[tex]\dfrac{28}{3\\}f = 4c[/tex]
[tex]c = \dfrac{28}{3\times 4}f[/tex]
c = [tex]\dfrac{7}{3}[/tex]f
Therefore the correct answer is option A which is the equation that represents the relationship between c and f is c = 7 / 3f.
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If PR = 4x – 2 and RS = 3x – 5, which expression represents PS?
Answer:
The expression that represents the PS is 7x – 7 .
if I am right mark the answer as brainliest
Use the graph of the exponential growth function
f(x) = a(2x) to determine which statement is true.
f(0) = 2 when a = One-half.
f(0) = 3 when a = 3.
f(1) = 9 when a = 9.
By direct evaluation of the exponential function f(x) = a · 2ˣ we conclude that the proposition "f(0) = 3 when a = 3" is the only true. (Correct choice: B)
How to analyze an exponential function
Herein we should analyze an exponential function of the form f(x) = a · 2ˣ and find what proposition is true by direct evaluation:
x = 0
2 = a · 2⁰
a = 2
x = 0
3 = a · 2⁰
a = 3
x = 1
9 = a · 2
a = 9/2
By direct evaluation of the exponential function f(x) = a · 2ˣ we conclude that the proposition "f(0) = 3 when a = 3" is the only true. (Correct choice: B)
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If a plane including pints p,q and r cuts through the cube
If a plane including pints p,q, and r cuts through the cube, the shape that will be gotten is a triangle.
What is a triangle?A triangle is a polygon with three edges and three vertices. The sum of the internal angles of a triangle is equal to 180 degrees.
In this case, when a plane including pints p,q, and r cuts through the cube, the shape that will be gotten is a triangle.
The diagram is attached.
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Separating variable in the equation gives you the following equation:
Answer:
[tex]\textsf{E.} \quad y\:dy=xe^x\:dx[/tex]
Step-by-step explanation:
Given equation:
[tex]ye^{-x}\dfrac{dy}{dx}=x[/tex]
Divide both sides by [tex]e^{-x}[/tex]:
[tex]\implies \dfrac{ye^{-x}}{e^{-x}}\:\dfrac{dy}{dx}=\dfrac{x}{e^{-x}}[/tex]
[tex]\implies y\:\dfrac{dy}{dx}=\dfrac{x}{e^{-x}}[/tex]
Multiply both sides by [tex]dx[/tex] :
[tex]\implies y\:\dfrac{dy}{dx}\cdot dx=\dfrac{x}{e^{-x}}\cdot dx[/tex]
[tex]\implies y\:dy=\dfrac{x}{e^{-x}}\:dx[/tex]
[tex]\textsf{Apply exponent rule} \quad \dfrac{1}{a^{-n}}=a^n:[/tex]
[tex]\implies y\:dy=xe^x\:dx[/tex]
Answer: E
Step-by-step explanation:
[tex]ye^{-x} \frac{dy}{dx}=x\\\\y \frac{dy}{dx}=xe^{x} \\ \\ \boxed{y dy=xe^{x} dx}[/tex]
Sweet corns purchased for $9 are markup by 10%. When no one bought the sweet corns, they decided to markdown the corn by 10% from the markup price. What is the selling price of the corn?
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar. Consider the given table. x -2 2 5 9 f(x) 5 17 26 ?
The "?" in the table represents the number_because the average rate of change on every interval of the function is_ .
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The value of f(x) when the value of x is 9 is 38.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
The given data points are in a linear relation, therefore, if we find the slope of the line on which these data points will be located. Then the slope will be,
m = (17-5)/(2+2) = 3
Now, equate any point and the slope in the general equation of line, therefore, the equation will be,
y = 3x + c
17 = 3(2) + c
17 - 6 = c
c = 11
Further, the value of f(x) when the value of x is 9 will be,
f(x) = 3x + 11
f(9) = 3(9) + 11
f(9) = 38
Hence, the value of f(x) when the value of x is 9 is 38.
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Difference between 13.40 and 17.15
Answer:
3.75
Step-by-step explanation:
17.15-13.40=3.75
Answer:
3.75
Step-by-step explanation:
17.15- 13.40=3.75
Graph: y - 3 = (x + 2)
Answer:
Step-by-step explanation:
See attached graph.
X+1/2y=5 What is the rate of change of y with respect to x?
Answer:
I'll do it the answer to x is 5 0 the answer to y will be 0 10
Which transformations would result in a geometric figure that is exactly the same size as DEF? check all that apply
Answer:
A C D Because dilate means to become larger/smaller
Step-by-step explanation:
Yui makes a list of the balances in her savings account at the end of each month. She notices that each month’s total is 5% greater than the previous month’s total. She writes a recursive formula to describe the account balances.
The Common Ratio is 1.05 . Option C is the answer.
The complete question is
Which value should she use as the common ratio?
0.05
0.5
1.05
5.0
What is common Ratio ?In a Geometric Sequence the ratio between each if the consecutive number is called the common Ratio.
Let Yui saving at the end of first month is Rs.x .
As given in the question
each month’s total is 5% greater than the previous month’s total.
Saving after second month is = First Month Total + 5% of First Month Total
= x + (5 % of x )
= x + (5*x/100)
= x + 0.05x
= 1.05x.
Yui balance is 1.05 times of Previous Month balance
Common Ratio = {Next Month }/ {Previous Month}
Common Ratio = 1.05 x / x
Common Ratio = 1.05
Therefore Common Ratio is 1.05 . Option C is the answer.
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You can walk over the mountains to
your campsite or take a safer, easier trip around the mountains. You
are on the ground at P(0, 0) and the campsite is at C(-2, 7). You
travel around the mountain by going to A(2, 5). The coordinate
system is measured in meters. Draw a diagram of the situation.
Find PA and AC.
Answer:
PA = [tex]\sqrt{29}[/tex]
AC =[tex]\sqrt[2]{5}[/tex]
Step-by-step explanation:
distance formula : if [tex](x_{1},y_{1}) and (x_{2},y_{2})[/tex] are two points on a line segment then distance between both the points is given by distance formula.
[tex]d = \sqrt{[(x_{2} - x_{1} )^2 +(y_{2} - y_{1})^2]}[/tex]
therefore ,
given points are , A(2, 5), P(0, 0), C(-2, 7).
so PA = [tex]\sqrt{[({2} - {0} )^2 +({5} - {0})^2]} = \sqrt{({2} )^2 +({5} )^2}[/tex]
PA = [tex]\sqrt{\229}[/tex]
similarly,
AC = [tex]\sqrt{[({-2} - {2} )^2 +({7} - {5})^2]} = \sqrt{({4} )^2 +({2} )^2}[/tex]
AC = [tex]\sqrt{20} = \sqrt[2]{5}[/tex]
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How can you find the conditional probability of A given B as the fraction of B's outcomes that also belong to A, and interpret the answer in terms of the model?
The given fractions representing the conditional probability is P(A | B) = P(AnB)/P(B)
Conditional ProbabilityThis is the probability that an event has happened given another event. If the two events are A and B, hence;
The conditional probability of A given B is expressed as:
P(A | B) = P(AnB)/P(B)
This given the fractions representing the conditional probability
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Samuel and 4 of his friends entered a chili cook-off. The rules allowed them
to spend a certain amount on supplies. If each person spent $15 for
supplies, how much did they spend in all?
Answer:
$75
[It is easy to say $60, but don't forget to add Samuel to the total]
Step-by-step explanation:
There are 5 people in total:
1 Samuel
4 friends
5 people who can spend up to $15 each.
(5 people)*($15/person) = $75 total spent on supplies
There are eight shirts in your closet, three blue, two are black, one is green, and two are white. You randomly select one to wear on Monday and then a different one on Tuesday. What is the probability that you wear blue shirts on both days?
(please write an explanation)
The probability of wearing blue shirts on both days is 3/28.
What is probability?Probability is the measure of the likelihood of an occurrence.
Given:
8 shirts are available out of which 3 are blue, 1 is green and 2 are white.
P(blue on Monday) = 3/8
Now, 7 shirts are left to wear on Tuesday
P(blue on Tuesday) =2/7
So,
the probability of wearing blue shirts on both days = 3/8 * 2/7 = 3/28
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Find two integers whose sum is 2 and product is -3
Answer: -1+3=2 and -1×3=-3
Step-by-step explanation:
This is the best answer I could give. I hope this helps!! :)
Determine the x-intercept of the following equation.
(-x-2)(x-3)=y
Answer:
3,-2
Step-by-step explanation:
set y =0 and solve
(-x-2)(x-3)=0
the values 3, -2 solve the equation and are your x-intercepts
If 45 is added to half a number, the result is triple the number. find the number
Answer:
18
Step-by-step explanation:
x = number
45 + 1/2 x = 3x
45 = 2.5 x
x = 45/2.5 = 18
Answer:
18
Step-by-step explanation:
Hello!
"Half a number" can be represented by 0.5x and "triple the number" can be represented by 3x.
This just becomes a one variable equation: 45 + 0.5x = 3x
Solve:
45 + 0.5x = 3x45 = 2.5x18 = xThe missing number is 18.
can someone please help mee
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:Domain = [-9, -1][/tex]
[tex]\qquad \tt \rightarrow \:Range = [-1 , 3][/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
Domain = All possible values of x for which f(x) is defined
[ generally the extension of function in x - direction ]
Range = All possible values of f(x)
[ generally the extension of function in y - direction ]
[tex] \large\textsf{For the given graph : } [/tex]
[tex]\qquad \tt \rightarrow \: domain = [ - 9, -1][/tex]
[tex]\qquad \tt \rightarrow \: range= [ -1,3][/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Match each equation to the situation it represents.
Answer:
1-3
2-2
3-1
Step-by-step explanation:
The pie chart below shows how the annual budget for a certain companies divided by department is a total budget is 15,000,000 what amount is budgeted for sales research and engineering combined
If the amount of budget for media and sales combined is $25,000,000. Then the total annual budget will be $125,000,000.
The complete question is attached below.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred.
The pie chart below shows how the annual budget for a certain company divided by department.
If the amount of budget for media and sales combined is $25,000,000.
Then the total annual budget will be
Let x be the total annual budget.
17% + 3% = 25,000,000 / x
20% = 25000000 / x
0.20 = 25000000 / x
x = $125,000,000
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Compare the ratios using the models.
7 to 16
6:8
Which statements are true? Check all that apply.
The model for the ratio 7 to 16 should show 7 cells
shaded.
The model for the ratio 6:8 should show 8 cells
shaded.
The ratio 7 to 16 is greater than 6:8.
The ratio 6:8 is greater than the ratio 7 to 16.
The correct options are Option A: the ratio 7 to 16 should show 7 cells shaded and Option D: 6:8 is also greater than 7:16.
The ratio is the representation of the fraction where the fraction is represented by : symbol.
In the ratio a:b, it simplifies that a number of parts are shades among b number of cells.
Here given two ratios are 7:16 and 6:8.
The ratio 7:16 simplifies that 7 cells are shaded from 16 number of cells.
similarly, 6:8 simplifies that 7 cells are shaded from 8 number of cells.
As 6:8 and 7:16 can be written as in the fraction form which are 6/8 and 7/16.
Then multiply 2 in both denominator and numerator of 6:8 will be
6/8= 12/16
Now comparing between 12/16 and 7/16
12/16 > 7/16 as the denominator is same and the numerator is greater in 12/16.
Then 6:8 is also greater than 7:16.
So by checking all the options
Option A is correct: from above i is clear that the ratio 7 to 16 should show 7 cells shaded.
Option D is correct: 6:8 is also greater than 7:16.
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What is the value of k? -5 -3 3 5
Answer:
k = -3
Step-by-step explanation:
Generally, we determine k by observing
the vertical translation of the original graph
in this case it’s the graph of f
and count the number of units by which it’s translated.
Checking the sign of k :
If the graph is translated up then k > 0
If the graph is translated down then k < 0
……………………………………………………………………
in order to get the graph of g ,the graph of f
is translated 3 units vertically but down
then
k = -3
ANSWER FAST PLEASE!!!
Which of the following systems of inequalities would produce the region
indicated on the graph below?
+11
10
Jadosak
-1
2 3
15
6
7
8 9
A. v2x+1; y210; x ≥ 0
B. v2x+1; y<10; x ≥ 0
O c. v
OD. V > x+1; y≤ 10; x ≥ 0
Answer: D
Step-by-step explanation:
We know that the line [tex]y=10[/tex] is shaded below, so it represents [tex]y \leq 10[/tex].
Similarly, the line [tex]y=x+1[/tex] is shaded above, so it represents [tex]y > x+1[/tex].
Please help me asap.
Answer:
B
D
A
C
Step-by-step explanation:
Whatever is listed 2nd in the parentheses, do that function first. Then take that result & do the function listed first.
find the probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any one trial is 9%.
p=____%
The probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any one trial is 9% will be 0.000343311 %
What is the probability?Probability is synonymous with possibility. It is concerned with the occurrence of a random event.
Probability can only have a value between 0 and 1. Its simple notion is that something is very likely to occur. It is the proportion of favorable events to the total number of events.
No of failure,n = 7
No of trials,x≥6
A binomial probability is represented as;
[tex]\rm P(x) = nC_x p^z(1-p)^{n-r}[/tex]
Substitute the given data;
[tex]P(x \geq 6) = 7C_6 \times 9^6 \times 91-9)^{7-6} +7C_7 (9)^7+(1-9)^{(7-7)}[/tex]
[tex]\rm P(x \geq 6) = 0.000000343311 \\\\ P(x \geq6)=0.000343311 \%[/tex]
Hence,the probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any one trial is 9% will be 0.000343311 %
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A store selling school supplies advertises a bundle deal. The consumer can
pick a backpack, a binder, a pack of pencils, and notebook paper for a set
price. There are 6 types of backpacks, 4 types of binders, 5 types of pencils,
and 2 types of notebook paper. How many outcomes are possible in this
bundle?
Answer:
D. 240
Step-by-step explanation:
6 types of backpacks = 6
4 types of binders = 4
5 types of pencils = 5
2 types of notebook paper= 2
6×4×5×2=
24×10=
240
The number of possible outcomes will be 240. The correct option is D.
What is an expression?Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.
Given that there are 6 types of backpacks, 4 types of binders, 5 types of pencils, and 2 types of notebook paper.
6 types of backpacks = 6
4 types of binders = 4
5 types of pencils = 5
2 types of notebook paper= 2
The number of possible outcomes will be calculated as:-
N = 6×4×5×2
N = 24×10
N = 240
Therefore, there will be 240 possible outcomes. The correct answer is D.
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An unknown number b is 10 more than an unknown number k. The number b is also k less than 8. The equations to find k and b are shown below
b=k+10
b=-k+8
Which is a correct step to find k and b?
O Write the points where the graphs of the equations intersect the x-axis.
O Write the points where the graphs of the equations intersect the y-axis.
O Add the equations to eliminate k
O Multiply the equations to eliminate b.
Answer: Add the equations to eliminate k
Step-by-step explanation:
Adding the equations together, we get 2b=18.
find the value of y when x equals 0
-7x+3y=30
Translate the algebraic expression below into a written expression.
5x ^ 3 + 2x ^ 2 - 9
A. five times X cubed plus two times X squared plus nine
B. five times X cubed and two times X squared minus nine
C. five times X squared plus two times X cubed minus nine
D. the sum of five times X squared and two times X cubed minus nine
Answer:
B
Step-by-step explanation:
five times x cubed plus/and two times x squared minus nine.