Answer:
Step-by-step explanation: Explanation:
If
L
,
H
and
W
represent the length, height and width of the prism, then the volume of the rectangular prism is :
V
=
L
.
H
.
W
............. (1)
Given :
V
=
x
3
+
11
x
2
+
20
x
−
32
;
............... (2)
W
=
(
x
−
1
)
;
H
=
(
x
+
8
)
.
Let
L
=
(
x
+
l
0
)
be the expression for the length, then the RHS of equation (1) becomes
L
.
H
.
W
=
(
x
−
l
0
)
(
x
+
8
)
(
x
−
1
)
,
=
(
x
+
l
0
)
(
x
2
+
7
x
−
8
)
=
(
x
+
l
0
)
(
x
2
+
7
x
−
8
)
=
x
3
+
(
7
+
l
0
)
x
2
+
(
7
l
0
−
8
)
x
−
8
l
0
..... (3)
Comparing this to the LHS of equation (1), we get the following set of equations to solve for
l
0
,
7
+
l
0
=
11
;
7
l
0
−
8
=
20
;
8
l
0
=
32
;
l
0
=
4
Therefore
L
=
(
x
+
4
)
hat is the product of 4.01 × 10-5 and 2.56 ×108?
Answer:
35.1 and 276.48
Step-by-step explanation:
Answer:
The correct answer is: 1.0266 ×104
Step-by-step explanation:
Bob built birdhouses to sell at the craft fair for $8.00 each. He had to spend $40 for materials . Which inequality represents the number of bird houses he must sell to make more than $ 200?
Answer:
8x - 40 > 200
Step-by-step explanation:
someone help please !
9514 1404 393
Answer:
no, the triangles are not similar
Step-by-step explanation:
The given ratios tell you corresponding side ratios are ...
ED : DC : EC = 8 : 10 : 12 = 4 : 5 : 6
AB : BC : AC = 12 : 15 : 21 = 4 : 5 : 7
Corresponding sides do not have the same ratios. The given information can be used to prove the triangles are NOT similar.
Which of these is the largest number? A. 50%
B. 0.55
C. 4/10
Answer:
B
Step-by-step explanation:
the answer is:
b. 0.55
this is because when simplified
a. 50%
b. 55%
c. 40%
b is the largest number
F(x)=3x^2-11 find f(-5)
Answer:
64
Step-by-step explanation:
2
If f(x) = -2x2- x, what is f(2) and f(3)?
Lucas is selling ribbons to raise money for the Juvenile Diabetes Research Foundation. His expenses include $46 for materials, plus $0.02 per ribbon. If Lucas charges $0.25 per ribbon, how many ribbons does he need to sell to break even
Answer:
He needs to sell 200 ribbons to break even.
Step-by-step explanation:
The break even point is where the expenses are equal to the earnings, so you can write an expression that indicates that Lucas' expenses are equal to his earnings:
46+0.02x=0.25x
Now, you can solve for x to find the answer:
46=0.25x-0.02x
46=0.23x
x=46/0.23
x=200
According to this, the answer is that he needs to sell 200 ribbons to break even.
Two cities are 252 miles apart. How far are the two cities from one another on a map with a scale of 1/4 inches: 18 miles?
Answer:
3.5 inches
Step-by-step explanation:
create a proportion:
inches / miles = inches / miles
let 'x' = distance in inches
1/4 = x
18 252
18x = 252(1/4)
18x = 63
x = 63 / 18
x = 3.5
What is the answer 2/3 + 5/12 =
Answer:
then answer is 13/12
Step-by-step explanation:
(8+5)/12
13/12
Solve the given equation
Answer:
136
Step-by-step explanation:
[tex]2+\sqrt{x+8} =14\\\sqrt{x+8} =12\\x+8=144\\x=136[/tex]
Answer:
2+ x+8 =14
Subtract 2 from both sides of the equation.
x+8 +2−2=14−2
Subtracting 2 from itself leaves 0.
x+8 =14−2
Subtract 2 from 14.
x+8 =12
Square both sides of the equation.
x+8=144
Subtract 8 from both sides of the equation.
x+8−8=144−8
Subtracting 8 from itself leaves 0.
x=144−8
Subtract 8 from 144.
x=136
Step-by-step explanation:
PLEASE HELP! Will give brainliest! Worth 30 points!
9514 1404 393
Answer:
a) 102.4
b) 72.6
c) 87.5
Step-by-step explanation:
The average value of a function over an interval is the integral of that function over the interval, divided by the width of the interval.
(a) The summer average is ...
[tex]\text{summer average}=\displaystyle\dfrac{1}{(\frac{1}{4})}\int_\frac{1}{2}^\frac{3}{4}{T(x)}}\,dx=87.5+23.4\cdot\dfrac{2}{\pi}\approx 102.4[/tex]
__
(b) The winter average is similar:
[tex]\text{winter average}=87.5-23.4\cdot\dfrac{2}{\pi}\approx 72.6[/tex]
__
(c) The annual average is the value added to the cosine function: 87.5
_____
Additional comment
The integral of the cosine function over the period of interest is ...
∫cos(2πx)dx = 1/(2π)sin(2πx)
For the limits x=1/2 and x=3/4, this becomes 1/(2π)(-1 -0) = -1/(2π).
When multiplied by -23.4(1/(1/4)), we get +23.4(2/π).
ANSWER QUICK IM TIMED
Raj plotted point L in the coordinate plane below.
On a coordinate plane, point L is 1.5 units to the left and 4 units up.
He says that the plotted point is (4, negative 1.5). What is Raj’s error?
A. The x-coordinate should be -4.
B. The y-coordinate should be 1.5.
C. The x- and y-coordinates are switched.
D. Both coordinates should be positive.
Answer:
The answer is C
Step-by-step explanation:
The answer to your question is C. or The x- and y-coordinates are switched.
I got this right on my quiz!!!
Hope this helps!!!
What is the value of the 5 in 564,242?
Answer:
500,000
Step-by-step explanation:
the value of 5 in the number 56242 is 500,000 or hundred thousand. to know the value of digit 5 in the number 564242 go to five the digit 5 and write zeroes after it.
have a wonderful day
The price of an item has been reduced by 60%. The original price was $52
Solve the equation for x. Express the solution as a logarithm in base-e.
9. Put these numbers in greatest to least order: 2/3, 60%, 0.06, 3/4
Step-by-step explanation:
0.0660%2/33/4hope it's right :)
a coach on a motorway is travelling at a constant speed . in ten minutes it travels 16 kilometer
work out its travells
20 minutes
please answer
30 minutes
50 minutes
1 hour
Step-by-step explanation:
10 minutes= 16km
20 minutes= 16x2 = 32km
30 minutes= 16x3 = 48km
50 minutes= 16x5 = 80km
60 minutes = 16x6 = 96km
I hope this helps, have a great day! :) -wilzW
Identify the range of the function shown in the graph.
A. {-2, 2}
B. -2 < y< 2
C. y> 0
D. yis all real numbers.
Given:
The graph of a function.
To find:
The range of the function.
Solution:
Range is the set of y-values or output values.
From the given graph it is clear that,
[tex]f(x)\to -\infty\text{ as }x\to -\infty[/tex]
[tex]f(x)\to \infty\text{ as }x\to \infty[/tex]
And the value function can be any real number. So,
Range = [tex]-\infty<y<\infty[/tex]
Range = [tex](-\infty, \infty)[/tex]
Range = y is all real numbers.
Therefore, the correct option is D.
Answer:
D. y is all real numbers.
Step-by-step explanation:
Range is the set of y-values or output values.
From the given graph it is clear that,
And the value function can be any real number. So,
Range =
Range =
Range = y is all real numbers.
Therefore, the correct option is D.
Which line , or solid , is the best line of best fit ? What evidence can you provide to prove this is the best line of best fit ?
Answer:
JOSHUA
Step-by-step explanation:
J
Luis bought 8 2/5 pounds of oranges for his soccer team. The team ate 4 5/8 ponds of oranges. About how many oranges are left
Answer:
3.775
Step-by-step explanation:
Answer:
3.775 OR 151/40 OR 3 31/40
Step-By-Step Explanation:
Subtract 8 2/5 by 4 5/8
HELPPPPPPP MEEEEEEEEEEEEEEEE
Answer:
The second, fourth and fifth answers are correct, as they all have a slope of 2.
Step-by-step explanation:
To find the answer to this, all you need to do is see which equations have the same coefficient to x.
In this case, the second, fourth and fifth one all have an x coefficient of 2, which means that those three lines are parallel.
Answer:
2;4;5=yes,correct --a slope of 2 :D
\\\\\\Hny!\\\\\\
1;3;6=no,incorrect
Step-by-step explanation:
Tell whether x and y show direct variation. Explain your reasoning. 2x = 3y
Answer:
YES: direct variation
Step-by-step explanation:
2x = 3y is equivalent to y = (2/3)x, which has the form of a proportional relationship (direct variation) y = kx. YES
Find a solution to the linear equation y=6x−18 by filling in the boxes with a valid value of x and y.
Answer:
So, (0,−18), (4,6), and (3,0) are some solutions to y=6x−18.
Step-by-step explanation:
Katherine D’Ann is planning to finance her college education by selling programs at the football games for State University. There is a fixed cost of $400 for printing these programs, and the variable cost is $3. There is also a $1,000 fee that is paid to the university for the right to sell these programs. If Katherine was able to sell programs for $5 each, how many would she have to sell in order to break even?
Answer:
700 programs
Step-by-step explanation:
Given that :
Fixed cost = $400
Variable cost = $3 per program
Right to sell fee = $1000
Sales price per program = $5
Let number of programs sold = x
In other to break even, expense = revenue
(Fixed cost + variable cost per program + right to sell fee) = sales price per program
(400 + 3x + 1000) = 5x
1400 + 3x = 5x
1400 = 5x - 3x
1400 = 2x
1400 / 2 = x
x = 700
Number of programs to be sold in other to break even = 700
what is 1 17/8 + 1 1/4 =
Answer:
39/8
Step-by-step explanation:
What is -1/2+-1/5+-5x+3/10+3/2=
Answer:
-5x + 11/10
Step-by-step explanation:
Simplify the expression 3s - 3s 35 - 3s =
Answer:
6s-35
Step-by-step explanation:
not sure
Question 7
1 pts
Emily has two bags of marbles. The first bag contains 4 red marbles and 6 blue.
The second bag contains 6 blue marbles, and 2 green marbles. Emily will
randomly select 1 marble from each bag.
What is the probability that Emily will select a blue marble from each bag?
Answer:
likely
because there are 12 blue marbles more then others
Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a
viable solution if x represents the number of days that a library book is late and y represents the total fee?
O (-3,-0.90)
O(-2.5, -0.75)
O(4.5, 1.35)
O (8, 2.40)
I need the answer mate
Answer:
d
Step-by-step explanation:
The only viable solutions for the given condition are (4.5, 1.35) and (8, 2.40).
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Since the fee is charged at a rate of $0.30 per day, if a book is x days late, the total fee charged would be y = 0.30x.
We can check each ordered pair given to see if it satisfies this equation:
For (-3,-0.90), y = 0.30x = 0.30(-3) = -0.90.
This satisfies the equation, but the fee cannot be negative, so this is not a viable solution.
For (-2.5, -0.75), y = 0.30x = 0.30(-2.5) = -0.75.
Again, this satisfies the equation but the fee cannot be negative, so this is also not a viable solution.
For (4.5, 1.35), y = 0.30x = 0.30(4.5) = 1.35.
This satisfies the equation and the fee is positive, so this is a viable solution.
For (8, 2.40), y = 0.30x = 0.30(8) = 2.40.
This satisfies the equation and the fee is positive, so this is also a viable solution.
Therefore, the viable solutions are (4.5, 1.35) and (8, 2.40).
Learn more about expression here:
https://brainly.com/question/14083225
#SPJ7
The Gomez’s deck is shown below. The deck is a regular hexagon. It has a perimeter of 45 units. What is the are of the deck
Answer:
The area of the deck is of 146.14 squared units.
Step-by-step explanation:
Regular hexagon:
A regular hexagon has 6 sides, all with the same measure.
Perimeter of a regular hexagon:
The perimeter of a regular hexagon with side x is given by:
[tex]P_h = 6x[/tex]
Area of a regular hexagon:
The area of a regular hexagon with side x is given by:
[tex]A_h = \frac{3\sqrt{3}x^{2}}{2}[/tex]
It has a perimeter of 45 units.
This means that:
[tex]6x = 45[/tex]
[tex]x = \frac{45}{6}[/tex]
[tex]x = 7.5[/tex]
What is the are of the deck
[tex]A_h = \frac{3\sqrt{3}x^{2}}{2} = \frac{3\sqrt{3}*(7.5)^{2}}{2} = 146.14[/tex]
The area of the deck is of 146.14 squared units.