Answer:
The density of the prism is 0.453 kilograms per cubic meter.
Step-by-step explanation:
Let suppose that mass in the prism is uniformly distributed. Then, the definition of density ([tex]\rho[/tex]), in kilograms per cubic meter, is defined by the equation below:
[tex]\rho = \frac{m}{V}[/tex] (1)
Where:
[tex]m[/tex] - Mass, in kilograms.
[tex]V[/tex] - Volume of the right angle triangle prism, in cubic meters.
Besides, the volume of the right angle triangle prism is:
[tex]V = \frac{1}{2}\cdot b\cdot h\cdot l[/tex] (2)
Where:
[tex]b[/tex] - Breadth of the base, in meters.
[tex]h[/tex] - Height of the base, in meters.
[tex]l[/tex] - Length of the base, in meters.
If we know that [tex]b = 2\,m[/tex], [tex]h = 2.5\,m[/tex], [tex]l = 3\,m[/tex] and [tex]m = 3.4\,kg[/tex], then the density of the prism is:
[tex]V = 7.5\,m^{3}[/tex]
[tex]\rho = 0.453\,\frac{kg}{m^{3}}[/tex]
The density of the prism is 0.453 kilograms per cubic meter.
A clothing store offers a 30% discount on all items at the store. If the original price of a sweater is $40, how much will you pay for the sweater at the discounted price?
Answer:
x=1
Step-by-step explanation:
Can someone plz help me with this one problem plzzzzz
I’m Marking Brainliest!!!
I’ll mark brainliest if correct :)
Answer:
x = -2
y = 9
Step-by-step explanation:
y = -3x + 3
y = 5x + 19
We can put one y as another:
-3x + 3 = 5x + 19
-8x = 16
x = -2
And now let's check using x = -2
y = (-3 * -2) + 3
y = (5 * -2) + 19
y = 6 + 3
y = -10 + 19
y = 9
y = 9
The population of a town increased from 20,000 people to 25,000 people. What percent did the population increase?
Answer:
The town population increase by 25%
Step-by-step explanation:
Btw can u please mark me brainliest, I need 3 more to rank up
Answer: 25%
Step-by-step explanation:
20000*1.25=25000
write each expression in simplest form
12c - c =
Answer:
11c
Step-by-step explanation:
12c-c=11c
It would look like this without the variable (just to make it easier to understand)
12-1=11
(a) Whats the area of a rectangular field is 3888 m. If the length of the field is 72 m, what is its width?
(b)The perimeter of a rectangular painting is 374 cm. If the width of the painting is 88cm, what is its length?
Answer:
part a is 54 part b is 99
Step-by-step explanation:
72 x ? =3888
x=54
374 is the perimeter. You have a side that is 88cm so the opposite side will be 88 cm as well. 374-176=198
so between the last 2 sides we have 198. The sides will be equal so you just divide it by 2
so the top and bottom of the rectangle are 99 and both sides are 88
Select no real solution, one real solution, or infinitely many real solutions for each of the following equations.
No Real Solution One Real Solution Infinitely Many Real Solutions
√x – 13=-4
2√x+10=8
2/x-1= 3/x+2
Answer:
one real solution
no real solution
one real solution
Step-by-step explanation:
Which system of equations is best represented by the graph?
Answer:
it's the first one
Step-by-step explanation:
since all of them go up to 8 on the graph it
the graph represents it going down since the first one is the only one to go down that one represents the graph precisely.
Charlotte and Riley walked 6/10 of a mile to school one day, and then after school they walked 3/8 of a mile to the store. From the store back home was another 2/5 of a mile. How far did the girls walk in all?
Answer: The girls walked [tex]1\dfrac38[/tex] miles.
Step-by-step explanation:
Given: Distance from home to school = [tex]\dfrac{6}{10}[/tex] mile
Distance from school to store = [tex]\dfrac38[/tex] mile
Distance from store to home = [tex]\dfrac25[/tex] miles
Total distance = [tex]\dfrac6{10}+\dfrac38+\dfrac25[/tex]
= [tex]\dfrac{6\times4+3\times5+2\times8}{40}[/tex] [L.C.M.(10,8,5)=40]
= [tex]\dfrac{24+15+16}{40}[/tex]
= [tex]\dfrac{55}{40}[/tex]
= [tex]\dfrac{11}{8}=1\dfrac38[/tex] miles
Hence, The girls walked [tex]1\dfrac38[/tex] miles.
Libby takes a test that has a total possible score of 800. Each question is worth the same
number of points. If she misses 3% of the questions, what is her score?
Answer:
Step-by-step explanation:
800(1-3/100)
800(100-3)/100
800(97)/100
77600/100
776 is her score.
10. Select all of the phrases that could be represented by the algebraic expression 2k - 4
a. The difference between number k and 4
b. 4 fewer than the product of 2 and a number k
c. The product of 2 and the quantity 4 and a number k
d. 4 less than 2 times a number k
Could some one help me please
Answer:
12
Step-by-step explanation:
The local pizzeria is charging $12.50 for a medium pizza with no toppings. Each topping costs $1.20 each. The variable, P, to represent the price and the variable, t, to represent the number of toppings. Which of the following models is correct?
a) P = 12.50t + 1.20
b) P = 1.20t + 12.50
c) t = 12.50P + 1.20
d) t = 1.20P + 12.50
Answer:
B is the correct answer!
Answer:
im thinking B
Step-by-step explanation:
find the slope of the line of best fit shown below.
REALLY NEED HELP
What is the slope of the given line??
Answer:
3
Step-by-step explanation:
slope is rise over run
6/2 simplifyed is 3/1 or just 3
A farmer sells 9.4 kilograms of pears and apples at the farmer's market. 2 5 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?
Answer: 6.9 kg
Step-by-step explanation:
Given
The combined weight of apple and pears is 9.4 kg
If pears weigh 2.5 kg
The weight of apples is the subtraction of pears weight from the total
[tex]\Rightarrow 9.4-2.5=6.9\ kg[/tex]
Thus, the farmer sells 6.9 kg of apples
I need help on this question
Answer:
1. equal
2. add to 180
3. equal
4. add to 180
Step-by-step explanation:
as 1 and 3 are linear pairs
2 and 4 are vertically opposite angles
pls helpppppppppppp!
Answer: g= -1/12
Step-by-step explanation:
I just solved it hope I helped
Write an equation in point-slop form of the line that passes through the point (2,-8) and has a slope of 4
Which equation is represented by the graph below?
5
4+
3+
2+
t
5 4 3 -2 -11
+ +
4 5
1
2.
3
3
-27
-3+
T 17
Step-by-step explanation:
[tex]y = \frac{1}{2} e^{x}[/tex] equation is represented by the given graph.
What is graph?
"Graph is defined as the representation of relation between two variables on the coordinate plane."
According to the question,
From the observation of the graph,
for x= 0
y- intercept = [tex]\frac{1}{2}[/tex]
a. [tex]y = \frac{1}{8} e^{x}[/tex]
Substitute x = 0 in the equation we get,
[tex]y = \frac{1}{8} e^{0}[/tex]
⇒ [tex]y = \frac{1}{8}[/tex]
Therefore,
Option (a) is not the correct answer.
b. [tex]y = \frac{1}{2} e^{x}[/tex]
Substitute x = 0 in the equation we get,
[tex]y = \frac{1}{2} e^{0}[/tex]
⇒ [tex]y = \frac{1}{2}[/tex]
which is same as graph value.
Hence, Option (b) is the correct answer.
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MATH HELP WILL MARK BRANLIEST
In a certain Algebra 2 class of 21 students, 10 of them play basketball and 9 of them play baseball. There are 8 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Answer:
6/21 or 2/7
Step-by-step explanation:
on delta math
Suppose a coordinate plane contains line l, line m, line p, and line q. If all that is known is that line l is parallel to line m, and line p is parallel to line q, which of these statements must be true after all of the lines are reflected across the y–axis. Select two that apply.
Line l is parallel to line m.
Line l is parallel to line p.
Line m is parallel to line q.
Line l is parallel to line q.
Line m is parallel to line p.
Line p is parallel to line q.
Answer:
A and E
Step-by-step explanation:
After all of the lines are reflected across the y-axis, the true statements are Line l parallels Line m, and Line m parallels Line p.
What is meant by Parallel lines?Parallel lines are two lines in the same plane that are equal distance apart and never intersect. Real-world parallel line examples include railroad tracks, sidewalk edges, street markings, zebra crossings, the surface of pineapple and strawberry fruit, staircases and railings, and so on.Parallel lines are lines in a plane that never meet, no matter how far they are extended. The distance between the parallel lines is constant because they never meet. Parallel lines are defined as lines that do not intersect or meet at any point in a plane. They are always parallel and equidistant from one another.To learn more about Parallel lines, refer to:
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What is the inverse (opposite) of subtraction?
Answer: Addition I think
Find the distance between the two points rounding to the nearest tenth (if necessary).
(−1,−2) and (5,2)
Answer:
7.2 units
Step-by-step explanation:
To find the distance between these two points, we want to use the distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]
Plug in the given values of (-1, -2) & (5, 2)
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
d = √[(5 - (-1))² + (2 - (-2))²]
Simplify the parentheses.
d = √[(5 + 1)² + (2 + 2)²]
d = √[(6)² + (4)²]
Simplify the exponents.
d = √[36 + 16]
Add.
d = √[52]
Evaluate the radical.
2√13 or 7.2111
Round the decimal.
7.2 units
Hope this helps!
please help me figure out the volume, it would be a life saverrrrrr! c;
Step-by-step explanation:
V= L×W×H
V= 8×5×4
V= 160feet cuded
=================================================
Explanation:
This tent is a triangular prism. We have two congruent triangles in front and back. Let's stand the triangular prism up so that the triangle forms the base, or floor, of this figure.
The area of the base triangle is 5*4/2 = 20/2 = 10 square feet. I used the formula base*height/2 to get the area of a triangle.
Once we know the area of the base of the prism, we multiply that by the height of the prism, which is the 8 ft. So we get 10*8 = 80 cubic feet of volume.
You invest $7000 in an account bearing 5% interest for ten years. A. How much will the account be worth if compounded quarterly? What about monthly? Daily? B. What do you notice about the amount of additional money you make as the frequency of compounding increases?
Answer:quarterly, monthly, daily
Step-by-step explanation:
quarterly: y=7000 (1+.05/4)'10(4) answer y=11,505.34
monthly: y=7000 (1+.05/12)'10(12) answer y=11,529.07
daily: y=7000 (1+.05/365)'10(365) answer y=11,540.65
What do you notice about the amount of additional money you make as the frequency of compounding increases? The account is worth more
The account will be worth approximately $11,505 if compounded quarterly.
The account will also be worth approximately $11,540 if compounded daily.
A. Compounded quarterly:
n = 4 (quarterly compounding)
A = 7000(1 + 0.05/4[tex])^{(4)(10)[/tex]
A ≈ 7000(1.0125)⁴⁰
A ≈ 7000 x 1.643619463
A ≈ 11505.34
The account will be worth approximately $11,505 if compounded quarterly.
B. Compounded monthly:
n = 12 (monthly compounding)
A = 7000(1 + 0.05/12[tex])^{(12)(10)[/tex]
A ≈ 7000(1.00416666667)^(120)
A ≈ 7000 x 1.6487212707
A ≈ 11540.05
The account will be worth approximately $11,540 if compounded monthly.
C. Compounded daily:
n = 365 (daily compounding)
A = 7000(1 + 0.05/365)^(365*10)
A ≈ 7000(1.0001369863)^(3650)
A ≈ 7000 * 1.6487212707
A ≈ 11540.05
The account will also be worth approximately $11,540 if compounded daily.
B. As the frequency of compounding increases, the additional money earned (compared to simple interest) becomes more significant. In this case, regardless of whether the interest is compounded quarterly, monthly, or daily, the resulting values are very close to each other.
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answer both and i will give brianlist
Answer:
1. Perpendicular
2. y=5x+7
Step-by-step explanation:
brainliest please?
Find the value of x.
Answer:
x = 30.74
Step-by-step explanation:
39 - 15 = 24
y^2 + 24^2= 36^2
y^2 + 576= 1296
y^2= 720
y= [tex]12\sqrt{5}[/tex]
15^2 + [tex]12\sqrt{5} ^{2}[/tex]= x^2
225 + 720 = x^2
x^2= 945
x = 30.74
Malia has $500 to purchase water bottles and pairs of socks for a fundraiser for her school’s cross-country team. She needs to buy a total of at least 200 items without buying too many of just one item. What graph shows the possible numbers of water bottles and pairs of socks that Malia should buy?
Answer:
graph ??? have u even tried to read the problem
Step-by-step explanation:
A group of friends wants to go to the amusement park. They have no more than $245
to spend on parking and admission. Parking is $9.25, and tickets cost $25.75 per
person, including tax. Which inequality can be used to determine p, the maximum number of people who can go to the amusement park?
Answer:
9.25 + 25.75p ≤ 245
Step-by-step explanation:
I didn't see any inequality options to select from . . .