Answer:
3 ft^2
Step-by-step explanation:
first find the width of the storage box using the given volume
V = L * W * H
9 = 4 * W * 3
9 = 12 * W
9/12 = W
W = 3/4 or .75
then with that to find the are of the base multiply the length and the width
a = l * w
a = 4 * 3/4
a = 3
Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x^2 find the function F[G(x)]-F(x)
Answer:
4x+4
Step-by-step explanation:
F[G(x)]
=F(3x+2)
=2(3x+2)-1
=6x+4-1
=6x+3
F[G(x)]-F(x)
=6x+3-(2x-1)
=6x+3-2x+1
=4x+4
Stem and leaf diagram
Find two numbers the quotient is between. Then estimate the quotient.
250 ÷ 4
Multiply 4 by multiples of 10 to estimate the quotient. The quotient is between
and
.
The estimate for the quotient is
.
Answer: 250
Step-by-step explanation: 250 divided by 4 multiply 4 equals 250
Fatima opened a savings account with $7,500. She decided to deposit that same amount semiannually. This account earns 3.975% interest compounded semiannually. Exercises 5-7 are about Fatima's account. 5. What is the future value of the account after 10 years?
Answer:
A = $11117.25
Step-by-step explanation:
Given the following data;
Principal = $7,500
Interest rate = 3.975% = 3.975/100 = 0.03975
Number of times, n = 2
Time, t = 10 years
To find the future value, we would use the compound interest formula;
[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
n is the number of times the interest is compounded in a year.
t is the number of years for the compound interest.
Substituting into the equation, we have;
[tex] A = 7500(1 + \frac{0.03975}{2})^{2*10}[/tex]
[tex] A = 7500(1 + 0.019875)^{20}[/tex]
[tex] A = 7500(1.019875)^{20}[/tex]
[tex] A = 7500(1.4823)[/tex]
A = $11117.25
Violet made cookies for the bake sale. 7/10 of the cookies are chocolate chip. 3/4 of the remaining cookies are sugar. What fraction of cookies are sugar cookies?
There are 15 seats on a bus . 6 persons
took the bus. In how many different ways can
these 6 persons sit ?
simply, they can set in many different ways
Assume that each child who is born is equally likely to be a boy or a girl.
If a family has two children, what is the probability that both are girls given that (a) the eldest is a girl, (b) at least one is a girl?
Answer:
b
Step-by-step explanation:
you see is equal it means that on might likely to be a boy
In a study relating college grade point average to time spent in various activities, you distribute a survey to several students. The students are asked how many hours they spend each week in four activities: studying, sleeping, working, and leisure. Any activity is put into one of the four categories, so that for each student the sum of hours in the four activities must be 168. a) Consider the model GPA = β0 + β1study + β2work + β3leisure + β4sleep + u. Interpret the coefficient β1. Does it make sense to hold work, leisure, and sleep fixed, while changing study? b) Explain why this model violates Assumption MLR.3. c) How could you reformulate the model so that its parameters have a useful interpretation and it satisfies Assumption MLR.3?
Step-by-step explanation:
Given
GPA = NO + B1Study + B2work + B3leisure + B4sleep + u
1. No it makes no sense. There is an intercorellation between these explanatory variables. Changing study while holding the rest variables constant or fixed would not make sense. If study us changed then one or more of the other predictors should be changed so that they can still be equal to 168
2. Study is a perfect linear function of work, leisure and sleep. There is the problem of multicollinearity among these independent variables. One assumption of the MLR is no multicollinearity.
3. To reformulate model, you have to drop the variable that is having the issue. Let's say that leisure is dropped from the model. After this the assumption is satisfied.
GPA = b0 + B1Study + b2sleep + b3work + u
Containers A (6cm, 5cm, 4cm), B (5cm, 4cm, 3 cm) and C (3cm, 3cm, 2 cm) are three rectangular containers. At first, container A is filled with water to its brim while containers B and C are empty. Next, some water from container A is poured into containers B and C so that container B is completely full while container C is half full. Find the height of the water left in container A..
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y=5x-22-x+8 y=-20
find x and y show work.
If 3)% of a number is 105, what is 40% of that number.
pls help me soon thanks I will give brainliest
Answer:
140
Step-by-step explanation:
30% of a number(x) is 105. To find the number(x) we must set up the equation below and solve for x:
0.3=105/x (multiply x)
0.3x=105 (divide by 0.3)
x=350
Solve for 40% of the number by multiplying 0.4 by the number:
350x.4=140
Help with this lesson. thank you for those who take the time to help me out.
Answer:
58 mi^2.
Step-by-step explanation:
We can split this up into 2 rectangles and 1 triangle.
Height of the triangle = 4 + 2 + (12-11)
= 7.
Total area
= 2*12 + 2*10 + 1/2 * 4 * height of the triangle
= 24 + 20 + 1/2 * 4 * 7
= 44 + 14
= 58 mi^2.
DA is tangent to the circle at A and DC is tangent to the circle at C. Find m
Answer:
D
Step-by-step explanation:
m angle b equals 77 now we have to find the arc of andle b.
so use the equation arc AC = 2(77)
arcAC = 154
360 - 154
=206
206/2
= 103
What is the volume of the solid?
Cheese yd
21.8 yd
19.2 yd
40.8 yd
please help!
Answer:
Step-by-step explanation:
Area of right triangular base = ½ × 3.2 × 6 = 9.6 square yards
Volume = 96 × 2 = 19.2 cubic yards
For the function f(x)=ax^3+bx^2-5x+9, determine the values of a and b so that f(-1)=12 and f'(-1)=3
If
f(x) = ax ³ + bx ² - 5x + 9
then
f '(x) = 3ax ² + 2bx - 5
Given that f (-1) = 12 and f '(-1) = 3, we get the system of equations
-a + b + 5 + 9 = 12
3a - 2b - 5 = 3
or
-a + b = -2
3a - 2b = 8
Multiply through the first equation by 2 and add it to the second one to eliminate b and solve for a :
2(-a + b) + (3a - 2b) = 2(-2) + 8
-2a + 2b + 3a - 2b = -4 + 8
a = 4
Substitute this into the first equation above to solve for b :
-4 + b = -2
b = 2
Answer is a = 4, b = 2.
First derivative of an equation:
The derivative formula is one of the basic concepts used in calculus and the process of finding a derivative is known as differentiation. The derivative formula is defined for a variable 'x' having an exponent 'n'. The exponent 'n' can be an integer or a rational fraction. Hence, the formula to calculate the derivative is:
[tex]\frac{d}{dx} x^{n} = n x^{n-1}[/tex]
(Given)
[tex]f(x) = ax^{3} + bx^{2} - 5x + 9[/tex]
And f'(x) we get , [tex]f'(x) = 3ax^{2} + 2bx-5[/tex]
Now, also given f(-1) = 12
=> [tex]f(-1) =a (-1)^{3} + b(-1)^{2} - 5 (-1) + 9[/tex]
=> 12 = -a + b +5 + 9
=> a = b + 2 ------( 1 )
Also given, f'(-1) = 3.
i.e., [tex]3 = 3a(-1)^{2} + 2b(-1) - 5[/tex]
3 = 3a -2b -5
From eq - (1) we can replace a.
3 = 3(b + 2) - 2b - 5
3 = 3b + 6 - 2b - 5
b = 2.
a = 4.
Learn more about derivative of equation here:
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what is the x in x/2=7
Answer:
14
Step-by-step explanation:
7x2=14
Answer:
14
Step-by-step explanation:
x/2=7 multiply 2 on both sides x=14
The number of portable widgets produced weekly by Widget, Inc., is related to the weekly profit in the way:
P(x) = -2x^2 + 88x - 384
where P(x) is the weekly profit in hundreds of dollars and x is the number of widgets must be produced weekly. How many widgets must be produced weekly for the maximum weekly profit? What is the maximum weekly profit? Find the analytically.
9514 1404 393
Answer:
22 widgets$58,400Step-by-step explanation:
The turning point (maximum or minimum) of quadratic function ...
f(x) = ax² +bx +c
is at x = -b/(2a).
Here, this means the maximum profit will be had when the number of widgets produced weekly is ...
x = -88/(2(-2)) = 22
The profit at that level of production is ...
P(22) = (-2·22 +88)(22) -384 = 44(22) -384 = 968 -384 = 584 . . . hundreds
22 widgets must be produced weekly for the maximum weekly profit of $58,400.
Use mental math to simplify.
(4.55 + 27) + 5.45
Answer:
31.55+5.45
Step-by-step explanation:
4.55+27 would go to 31.55
31.55+5.45
Answer: 37
Step-by-step explanation:
4.55 + 27 = 31.55
31.55 + 5.45 = 37
5x - y = 6
x + 6y = 4
To solve the system by elimination, what integer would you multiply the FIRST equation by?
Answer:
1.5x-y=6
x-y=5+6
x-y=11
2.x + 6y =4
x+y=6-4
X+y=2
xy=2
SORRY THE WRONG
Step-by-step explanation:
FROM INDONESIAN
The table shows several points for function f(x).
A 2-column table with 8 rows. Column 1 is labeled x with entries negative 4, negative 2, 0, 2, 4, 6, 8, 10. Column 2 is labeled f (x) with entries 19, 15, 11, negative 6, negative 7, negative 8, negative 10, negative 14.
Which statement correctly identifies a point on the graph of f–1(x)?
A. The point (4, –7) is on the graph of f(x), so the point (7, –4) will be on the graph of f–1(x).
B. The point (–2, 15) is on the graph of f(x), so the point (2, –15) will be on the graph of f–1(x).
C. The point (–4, 19) is on the graph of f(x), so the point (–4, –19) will be on the graph of f–1(x).
D. The point (10, –14) is on the graph of f(x), so the point (–14, 10) will be on the graph of f–1(x).
Answer:
The answer is D.
Step-by-step explanation:
Just took the test. Got 100%.
Which numbers are irrational?
Select each correct answer.
−144−−−√
10−−√
0.04−−−−√
12−−√
Answer:
10, 12
Step-by-step explanation:
Solve showing all the steps
Answer:
Step-by-step explanation:
Is the second exponent 6, or 6x ?
If it is 6x, then x = -½
Six years ago a man's age was six times the age of his son. Four years hence, thrice his age will be equal to eight times his son's age. find their percent ages.
Answer:
Present age =
fathers= 6x+6 = 36
sons = x+6 = 11
Step-by-step explanation:
-6:
father's age = 6x
sons age = x
Present age =
fathers= 6x+6
sons = x+6
+4 yrs:
father's age = 6x+6 +4 = 6x + 10
sons age = x+6 + 4 = x+ 10
3(6x +10) = 8( x + 10 )
18x+30 = 8x+80
18x-8x = 80-30
10x = 50
x= 50/10 = 5
~~~~~~~~~~
Present age =
fathers= 6x+6 = 36
sons = x+6 = 11
I hope im right!!!
Find the area of the shape shown below.
Answer: 10
Step-by-step explanation:
To work out the area of this shape you have to split this into 1 square and 2 triangles.
The formula of the area of the triangle is base x height divided by 2
The first triangle on the left would be 2x2/2=2
The area of second triangle on the left is 4x2/2=4
The formula for the square is base x height.
Then to work out the area of the square you do 2x2=4
So, to work out the area of the whole shape you add all of the areas together.
2+4+4=10
Helpp I cant get the answer......Whats 6 divided by 2 ( 1 + 2)
Answer:
3
Step-by-step explanation:
1/4v=5 plsssssss helppp meeeee
Answer:
v=20
Step-by-step explanation:
multiply both sides by 4
1/4*4=1
5*4=20
100 BRAINLY POINTS
f(x)=18,000(.88)^x ; x represents the number of years since the car started to depreciate and 18,000 = the initial value of the car. What year will you recieve the car when the car value drops below $2,000? Please do a step by step
Answer:
After 17 years and 3 monthsStep-by-step explanation:
Given function:
f(x)=18000(0.88)^xWe are looking for the value of x at f(x) < 2000
Solve the equation:
2000 = 18000(0.88)^x(0.88)^x = 2000/18000(0.88)^x = 0.1111log (0.88)^x = log 0.1111x = log 0.1111 / log 0.88x = 17.18After 17 years and 3 months the car value drops below $2,000
Put f(x)=2000 and solve
2000=18000(0.88)^x2=18(0.88)^x1/9=(0.88)^xln(0.111)=xln0.88x=ln(0.111)/ln0.88x=17.18Atleast 18 years
You will recieve in 18the year going on
3/18 of the teachers at Naran's school are math teachers, and 30 of the teachers are not math teachers. How many teachers are there at Naran's school?
Answer:
36 teachers total
Step-by-step explanation:
HELP!!!!!
The net of a rectangular prism and its dimensions are
shown in the diagram.
What is the total surface area of the rectangular prism in
square inches?
Answer:
C. 245.5
Step-by-step explanation:
(5.5) (3) + (12.5) (3) + (5.5) (3) + (12.5) (5.5) + (12.5) (5.5) + (3) (12.5)
= 245.5
Answer:
its 245.5
Step-by-step explanation:
need help geometry question
Answer:
okay the answer 13.02 enjoy