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
)
Delaney wants to start saving money to buy a 3-D printer. If she needs to save at least $300.00 to pay for it and has decided to save $15.00 per week from doing chores around the house. Which inequality can be used to find how many weeks will it be before she can purchase the 3-D printer?
15x\geq 30015x≥300
\frac{x}{300} \geq 15
300
x
≥15
15x \leq 30015x≤300
\frac{x}{300} \leq 15
300
x
≤15
Answer:
20 weeks
Step-by-step explanation:
30/15=2
300/15=20
20 weeks
Given the equation y
- x+1
The x intercept is:
The y intercept is:
Answer:
−x+y+1
Step-by-step explanation:
Simplify the expression.
- 2.6f +0.2f - 15 - 3
i need help with this, anyone?
Answer: -2.4f-18
Step-by-step explanation:
Add 0.2f to -2.6f then subtract 3 from -15
Find the length of segment FH.
Answer:
20
Step-by-step explanation:
what is 42-22?
it is 20. Next time, use a calculator or get your additon and normal calulations really good.
Scottie is testing to see if people who go to a lot of movies do better than average on the Verbal SAT (which has a mean of 500 and a standard deviation of 100 and is normally distributed). She has a sample of six people. What kind of hypothesis testing do we use
Answer:
The kind of hypothesis testing we can use is z-test for means
Step-by-step explanation:
Given that;
sample mean x" = 500
standard deviation σ = 100
sample size n = 6
What kind of hypothesis testing do we use?
There are two cases where z-test can be use;
first, when we know the population standard deviation or variance
and secondly, when the population size is more than 30.
So from the question, the population standard deviation was given, which is 100.
Since we know the S.D, it meets the first condition.
Therefore, The kind of hypothesis testing we can use is z-test for means
What do you call segments, rays, or lines that are added to a given diagram?
Answer:
auxiliary lines
Step-by-step explanation:
imma look what dis is
Answer:
its loading but ill help!
Step-by-step explanation:
Find the slope of the line going through the points (-2,-3) and (-1,9)
y=5, 12+4y= what is the answer
Answer:
x2
Step-by-step explanation:
x2 82
Answer: 32
Step-by-step explanation: since y=5, 4y= 20. 12+20=32
Compare the two fractions using , or =. 1/2 1/4
Answer:
1/2 > 1/4
Step-by-step explanation:
1/2 = 2/4
2/4 > 1/4
Answer:
1/2 > 1/4
Step-by-step explanation:
1/2= 2/4
2/4 > 1/4
Which triangle is a translation of the gray triangle?
O ΔDEF
Ο ΔABC
O Neither
Answer:
abc
Step-by-step explanation:
Find the area of the image below: (4 points)
01) 41 square units
2) 44 square units
3) 52 square units
4) 56 square units
What is the inverse function of f(x) = x
Determine which choice best shows the distributive property of multiplication.
Question 2 options:
1 × 6 = 6
6 × 9 = 9 × 6
6 × (9 + 8) = (6 × 9) + (6 × 8)
6 × (9 × 8) = (6 × 9) × 8
Answer:
c) 6× (9+8) = (6 × 9) + (6× 8)
Step-by-step explanation:
Distributive property of multiplication
The distributive property of multiplication
a(b+c) = a b + a c
(a+b)c = ac + bc
6× (9+8) = (6× 9) + (6×8)
what is 24 divided by 18
Answer:
1 1/3
Step-by-step explanation:
or 1.33333333333333333333333333333333333333333333
Jane has 6 more than twice the number of pairs of shoes that Mary has.
Write an expression for this. Use s as your variable for the shoes.
Answer:
im not sure
Step-by-step explanation:
Please help don’t understand
Answer:
first you choose one of the varibles to solve for so im going to start with s you would add them up and subtract them that way there on the other side of the = sighs so you equation would be 8+2d+3=-7s then you add the 8 and the 3 and you would get 11+2d=-7s i dont know what you do after this i think this is the answer.
Answer:
the other guy is right trust him
The Celsius scale is devised so that 0° C is the freezing point of water (at 1 atmosphere of pressure) and 100°C is the boiling point of water (at 1 atmosphere of pressure). If you are more familiar with the Fahrenheit scale, then you know that water freezes at 32°F and boils at 212° F. The linear equation that relates temperature r measured in degrees Celsius and temperature y measured in degrees Fahrenheit is
Answer:
[tex]r=\frac{5}{9}(y-32)[/tex]
Step-by-step explanation:
The Celsius scale was developed by Swedish astronomer Andres Celsius in 1742. It is used to measure temperature in degree Celsius in which 0 degrees represents the freezing point of water, and 100 degrees represents boiling point of water at the standard atmosphere.
The Fahrenheit scale was proposed in 1724 by the physicist Daniel Gabriel Fahrenheit. It is used to measure temperature in degree Fahrenheit in which 32°F represents the freezing point of water, and 212°F represents boiling point of water at the standard atmosphere.
Let r represent the temperature in degrees Celsius and y represent the temperature in degree Fahrenheit. The relationship between r and y is:
[tex]\frac{r-freezing\ point(^oC)}{boiling\ point\ (^oC)-freezing\ point(^oC)} =\frac{y-freezing\ point(^oF)}{boiling\ point\ (^oF)-freezing\ point(^oF)} \\\\Substituting:\\\\\frac{r-0}{100-0}=\frac{y-32}{212-32}\\\\\frac{r}{100} =\frac{y-32}{180}\\\\r= \frac{y-32}{180}*100\\\\r=\frac{5}{9}(y-32)[/tex]
A particle traveled a distance of 9.0×1012 meters at a rate of 1.8×105 meters per second. If distance = rate x time, how many seconds did it take the particle to travel the specified distance?
Answer:it took the particle 50,000,000 seconds to travel the specified distance
Step-by-step explanation:
Given that distance = Rate x time
Distance traveled by Particle= 9.0×10^12 meters
and rate= 1.8×105 meters per second
Time taken for particle to travel the specified distance using our equation that
distance = Rate x time
time = Distance / Rate
=9.0×10^12 meters/ 1.8×105 meters per second
=50,000,000 seconds
What is the Percentage of 23000
Answer:
2300000%
Step-by-step explanation:
0.01 = 1%
1 = 100%
23000 X 100 = 2300000%
Hope It Helps
10. Find the rate of change in the table below.
Show all work.
х
18
20
22
24
y
4.5
5
5.5
6
Answer:
it's times 4 every time
Step-by-step explanation:
4.5 times 4 is 18 etc
If the data below were represented by a comparative bar chart, the bar
representing which of these would be the tallest?
A. Left-handed girls
B. Right-handed boys
C. Right-handed girls
D. Left-handed boys
Answer:
b right handed boys
Step-by-step explanation:
I need help
are all intergers a closed or open whoel number when subtracting or adding them together
Answer:
Integers are always closed under subtraction, addition and multiplication, not division though. Hope this helped! :D
Step-by-step explanation:
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
Rewrite using a single positive exponent.
(7^2)^-7
Answer:
Step-by-step explanation:
we have to remember the power rules, power raised to the power-we use the multiplication
(7^2)^-7=7^-14= 1/7^14
HELP MIDDLE SCHOOL QUESTION
WILL MARK BRAINLY!
Which inequality is true?
1-100 < 50
--50 100
1-100 > 50
4-50 > -100
the third one, you have written not clearly
bwhwhsbsh hsbsvs bw wjw wjw whe
What is 20% of 80 I need help
Answer:
16
Step-by-step explanation:
20% = 0.2
80 x 0.2 = 16
Please mark me Brainliest :)
Answer:
16 is 20 percent out of 80
Step-by-step explanation:
Pablo shares 525 cupcakes in the ratio of 3 : 4 between his bakery and a supermarket.
How many cupcakes does the supermarket get?
I dont even know how to explain this, but please help
Both Px + Qy = R and Tx + Uy = V have the same solution (2, 9), meaning the point (2, 9) lies on both lines such that x = 2 and y = 9 makes both equations true.
When you add these equations together, you get
(Px + Qy) + (Tx + Uy) = R + V
→ (P + T ) x + (Q + U ) y = R + V
so the first option is equivalent.
When you subtract the first equation from the second, you get
(Tx + Uy) - (Px + Qy) = V - R
→ (T - P) x + (U - Q) y = V - R
so the third option is also equivalent.
