Answer:
the volume of sand is [tex]50 ft^{3}[/tex]
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, rectangular prism.
Given data
[tex]Length l= 4 ft Width w= 5ft\\Height h = 3ft[/tex]
if the sandbox is filled with sand of [tex]2\frac{1}{2 } ft[/tex] deep the volume of the sand in the box will be calculated based on the the depth of the sand
converting the depth of sand from mixed fraction to proper fraction we have [tex]2\frac{1}{2} = \frac{5}{2}[/tex]
the expression for the volume of a rectangular prism is
[tex]volume of sand = length * width* height[/tex]
substituting our data into the expression we have
[tex]volume of sand= 5*4 * \frac{5}{2} \\volume of sand = \frac{100}{2} \\volume of sand = 50 ft^{3}[/tex]
Can someone help me with this question
Answer:
b
Step-by-step explanation:
3 + 4x < 2(1 + 2x)
3 + 4x < 2 + 4x
Answer: the second answer
Step-by-step explanation:
If we want to find an inequality with no solution, that means we can expect no x and an unbalanced inequality (e.g., 3<0 which is untrue).
The second one is like that because the inequality is
3+4x[tex]\leq[/tex]2(1+2x)
If we solve it out, we get
3+4x[tex]\leq[/tex]2+4x
When you remove the variable from both sides, you now have
3[tex]\leq[/tex]2
This statement is false, since 2 will never be greater than 3.
If we look at the others, we can see that there are answers for all of them.
Please help!
You flip a coin twice.
What is the probability of getting tails and then getting heads?
Write your answer as a percentage.
___%
Your answer would be 25%.
Assuming the coin is not biased, the probability of flipping a heads or tails is 1/2 equally. This remains the same no matter how many times you flip the coin, because the outcome of one flip does not affect the outcome of another.
This means that the probability of getting a tails the first flip is 1/2, and the probability of then getting a heads is also 1/2, so to find the probability of both happening you need to multiply these probabilities together, and 1/2 × 1/2 = 1/4, and 1/4 as a percentage is 25%.
I hope this helps! Let me know if you have any questions :)
Please answer correctly !!!!! Will mark brainliest !!!!!!
I belive your answer should be letter B
Answer:
c
Step-by-step explanation:
the correct choice is c
the sign has a diameter of 30 inches what is the circumference use 3.14 for pie
Answer:
94.2 inches.
Step-by-step explanation:
First, I just want to clarify that [tex]\pi[/tex] is actually spelled pi, not pie, like the pie you eat.
Finding the circumference is pretty easy. It is just the diameter times pi.
So if the diameter is 30 inches, and we use 3.14 for pi, then the circumference of the sign would be 94.2 inches.
Hope this helps!
Help with this question asap!!
Answer:
1st option.
[tex]\sum_{k=1}^{6} \frac{1}{2k-1}[/tex]
Step-by-step explanation:
The given sequence is as follows:
[tex]1 + \dfrac{1}{3}+ \dfrac{1}{5}+ \dfrac{1}{7}+ \dfrac{1}{9}+ \dfrac{1}{11}[/tex]
Here, we can see that the denominator is in AP and the sequence is:
1, 3, 7, 9, 11
first term, a = 1
Common difference, d = 2
We know that nth term for an AP:
[tex]a_n = a+(n-1)d[/tex]
where a is the first term and
d is the common difference.
So, nth term for above AP:
[tex]a_n = 1+(n-1)\times 2\\\Rightarrow 2n-1[/tex]
Here, we have 'k' in place of 'n':
[tex]a_k = 2k-1[/tex]
And as per the given sequence in the question, the kth term is simply the reciprocal:
i.e. [tex]\dfrac{1}{2k-1}[/tex]
and sum is to be done up to k = 6 from k = 1.
Hence, the summation notation for the sequence
[tex]1 + \dfrac{1}{3}+ \dfrac{1}{5}+ \dfrac{1}{7}+ \dfrac{1}{9}+ \dfrac{1}{11}[/tex]
is:
[tex]\sum_{k=1}^{6} \frac{1}{2k-1}[/tex]
PLEASE HELP!! I will mark the brainliest if you can explain your answer!! I think it’s either b or c..... but I’m not sure!!! Pls help!!
(Attached below isn’t the question and the answer choices)
Answer:
A(x) = 6.2 - 0.005x
Step-by-step explanation:
If you think about it, either 0.5/0.005 needs to be equal to 0.5%
0.5 is the same as 1/2 and therefore it is the same as 50%
So it must be 0.005!
Tip: I always just divide by 100 to get the decimal, it is a nice, easy and quick method
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Formula for the area of a quarter circle: A = (pi x r^2) / 4
A = (pi x 2^2) / 4
A = (pi x 4) / 4
A = 4pi / 4
A = 1pi = 3.14 square miles
Hope this helps! :)
5. Janet Gilbert is director of labs. She has some extra capacity and has contracted with some small neighboring hospitals to run some of their lab tests. She has recently had a study conducted and has determined that her costs of these contracts are $10,000 of which $7,000 are for supplies and items related to each test. She currently charges an average of $10.00 per lab test. She is thinking of lowering her price by 20 percent in hopes of raising her current volume of 10,000 tests by 15 percent.
Answer:
Check the explanation
Step-by-step explanation:
Present predicted
Revenue - per test 10000 8000
Variable cost - per test 7000 7000
Contribution – per test 3000 1000
Net income (10,000 test – 11,500 tests) 30,000,000 11,500,000
z - 5 = 33
a) twice 5 is 33
b) z increased by 5 is 33
c) 5 less than z is 33
d) 5 times z is 33
Answer:
C) 5 less than z is 33
Step-by-step explanation:
z-5=33
z-5+5=33+5
z=38
38-33=5
please identify each that are central angles!!
Correct answers are
<BDE
<EDF
An aluminum can is a right cylinder. Find the amount of paper needed for the can's label and the total
amount of aluminum needed to make the can. Round to the nearest tenth.
7 cm
12 cm
The amount of paper needed for the can's label is
1 cm?
The total amount of aluminum needed to make the can is
cm?
Please help put a bunch of points for this question do
Answer:
Label: About 527.9 square centimeters
Aluminum: About 835.7 square centimeters
Step-by-step explanation:
Amount of paper needed for the label:
You can imagine taking off the label and unrolling it, forming a rectangle. The height of this rectangle will be the height of the cylinder, while the length of the rectangle will be the circumference of the cylinder. Therefore, the area of that rectangle will be [tex]2\pi r h= 2 \cdot \pi \cdot 7 \cdot 12\approx 527.9[/tex].
Amount of aluminum needed for the can:
This time, you need to add in the top and bottom of the can as well, which each have area [tex]\pi r^2[/tex]. Together, they have area [tex]2\pi r^2=2\cdot \pi \cdot 7^2\approx 307.9[/tex]. Adding this to the area of the sides, you get a total of about 835.7 square centimeters.
Hope this helps!
Area between two shapes circles ixl
Solve the system of equations
-10x+3y=5
x=y-4
x=
y=
Answer:
x=1
y=5
Step-by-step explanation:
Found the answer online at math way
no work and don't report me or delete my answer!!!
I want brainliestif four out of ten people vote, then in a town with two hundred thousand people how many will vote?
Answer:
80,000 people would answer in a town of 200,000 people
Answer:
80,000 people.
Step-by-step explanation:
Let's use a ratio:
voters : people overall
4 : 10
80 : 200
80,000: 200,000
80,000 out of 200,000 people voted.
A survey asked only girls to identify their favorite item on the
school cafeteria menu
A. Unbiased sample
B. Biased sample
Answer:
B
Step-by-step explanation:
A biased sample is a sample that does not accurately represent the population.
The survey asked only girls, but we can assume this school has both boys and girls. Therefore, by only asking girls, it creates a bias, because the boys in the school are not represented.
Therefore, the correct choice is B: biased sample.
Square root of 8.8 up to two decimal step by step explanation
Answer:
2.97
Step-by-step explanation:
8.8 = 4 *2.2 = 4 * 220/100
220 = 4 *55
8.8 = (4 *4*55)/100 = 16 *55/100
[tex]\sqrt{8.8} =\sqrt{(16 * 55)}/\sqrt{100\\}[/tex]
[tex]\sqrt{8.8}= \frac{4}{10}*\sqrt{55}[/tex]
≈[tex]\sqrt{8.8} = 0.4 * 7.416 = 2.9664 \\2.97[/tex]
In parallelogram DEFG, DH = x + 2, HF = 2y, GH = 4x – 3, and HE = 5y + 1. Find the values of x and y.
Answer: x = 6, y = 4
Step-by-step explanation:
Given the following :
In parallelogram DEFG:
DH = x + 2, HF = 2y, GH = 4x – 3, and HE = 5y + 1
According to the diagram,
The diagonals of the parallelogram buscect each other
The diagonal GE:
GH = HE
4x - 3 = 5y + 1 - - - - (1)
The Diagonal DF:
DH = HF
x + 2 = 2y
x = 2y - 2 - - - - - (2)
Replace x = 2y - 2 in equation (1)
4(2y - 2) - 3 = 5y + 1
8y - 8 - 3 = 5y + 1
8y - 5y = 1 + 8 + 3
3y = 12
y = 4
Substityte y = 4 in equation (2)
x = 2(4) - 2
x = 8 - 2
x = 6
x = 6, y = 4
Use the remainder theorem to determine whether x - 2 is a factor of
f(x) = x3 + 3x2 - x - 18
A)
Yes, x - 2 is a factor of f(x) because f(2) = 0
B)
No, x - 2 is not a factor of f(x) because f(2) = 0
C)
Yes, x - 2 is a factor of f(x) because f(-2) = -12
D)
No, x - 2 is not a factor of f(x) because f(-2) = -12
Answer:
A
Step-by-step explanation:
To determine if (x - 2) is a factor of f(x)
Evaluate f(2) and if equal to zero then (x - 2) is a factor
f(2) = 2³ + 3(2)² - 2 - 18
= 8 + 12 - 2 - 18
= 0
(x - 2) is a factor of f(x) because f(2) = 0 → A
The answer to the question "Use the remainder theorem to determine whether x - 2 is a factor of [tex]f(x) = x^3+3x^2-x-18[/tex]" is option A: Yes, x - 2 is a factor of f(x) because f(2) = 0
The given function is:
[tex]f(x) = x^3+3x^2-x-18[/tex]
The function [tex]f(x) = x^3+3x^2-x-18[/tex] is divided by x - 2
x - 2 will be a factor of [tex]f(x) = x^3+3x^2-x-18[/tex] only if f(2) = 0
Substitute x = 2 into [tex]f(x) = x^3+3x^2-x-18[/tex]
[tex]f(2) = 2^3 + 3(2)^2 - 2 - 18\\\\f(2) = 8 + 3(4) - 2 - 18\\\\f(2) = 8 + 12 - 20\\\\f(2) = 20 - 20\\\\f(2) = 0[/tex]
Since f(2) = 0, then we can conclude that x - 2 is a factor of [tex]f(x) = x^3+3x^2-x-18[/tex]
Learn more here: https://brainly.com/question/22237647
A boat travels upstream for 96 miles in 4 hours and returns in 3 hours traveling downstream in a river. What is the rate of the boat in still water and what is the rate of the current?
Answer:
Speed of boat in still water = 28 miles/hr
Speed of current = 4 miles/hr
Step-by-step explanation:
Speed upstream, u = 96/4 = 24 miles/hr
Speed downstream, v = 96/3 = 32 miles/hr
Speed of boat in still water = ½(v+u)
= ½ (24 + 32) = 28 miles/hr
Speed of the current = ½ ( v - u)
= ½ (32 - 24) = 4 miles/hr
Simon took out a zero-interest loan for $3,300 to buy a boat. He must pay $300 per month to pay off the total balance of the boat's purchase price. Simon also has $1,000 in his savings account. He plans to deposit $600 every month in this account. So, Simon would like a system of equations that tells him at what point he will be able to pay off the total balance for the boat with the help of his savings. Write the second equation in the system. Enter the correct answer in the box. Substitute numerical values into the expression for all known variables.
Answer:
After 3 months, Simon will be able to pay off his loan with the money he holds at his savings account.
Step-by-step explanation:
ending loan's principal balance = beginning loan's principal balance - number of months x $300
or we can simplify it: l₁ = l₀ - 300x ⇒ l₁ = 3,300 - 300x
l₁ = ending loan's principal balance
x = number of months
ending savings account balance = beginning savings account balance + number of months x $600
or we can simplify it: s₁ = s₀ + 600x ⇒ s₁ = 1,000 + 600x
s₁ = ending savings account balance
x = number of months
account balances for months
month 1 month 2 month 3 month 4
boat loan $3.000 $2,700 $2,400 $2,100
savings account $1,600 $2,200 $2,800 $3,400
Answer:
y equals 300x plus 3300
Step-by-step explanation:
A cylinder has a base radius of 5 centimeters and a height of 17 centimeters. What is its volume in cubic centimeters, to the nearest tenths place?
The image provided contains a set of parallel lines, AB and CD, and a transversal line, EF. If angle ∠ a is equal to 135˚, then which of the other angles is equal to 135˚? SELECT ALL THAT APPLY! *
∠ b
∠ h
∠ c
∠ g
∠ e
Ricky purchase Shoes for $159.95 and then exchanged them at a buy 1 get 1 half off sale. The shoes that he purchased on his return trip were $74.99 and $68.55. How much did he receive back from the store after his second transaction?
Answer:
50.68
Step-by-step explanation:
The higher priced shoes are full price and the lower priced shoes will be 1/2 price
74.99 + 1/2 (68.55)
74.99 + 34.28
109.27
He had 159.95 in credit
159.95-109.27
50.68 in return
Which scenario cannot be modeled by a right triangle?
A 13-foot ladder is placed 5 feet away from a wall. The distance from the ground straight up to the top of the
wall is 12 feet
Wendy leaves school to go home. She walks 60 yards north and then 80 yards west. She is 10 yards from the
school
The dimensions of a triangular-shaped garden are 28 yards, 53 yards, and 45 yards.
A Babylonian writing mentioned a triangle with side lengths 120, 169, and 119.
Answer:
B
Step-by-step explanation:
B. Wendy leaves school to go home. She walks 60 yards north and then 80 yards west. She is 10 yards from the school.
got it right on edge
On a road map, the distance from Portland to Seattle is 8 cm. What is the actual distance between the cities if the map scale is 2 cm = 37.5 miles?
Answer:
150 miles
Step-by-step explanation:
8/2 = 4
4x37.5 = 150
Someone can help me in this question!
Answer:
ACB=61°, BAC=58°, AEF=65°
Step-by-step explanation:
C = 122°, 180-122=58° ACB= 122°÷2=61°
61°+61°+A=180, hence 58°
65 because of opposite angles, they are equal
What the missing value X^2-20x+—
Answer:
it is -1x2
Step-by-step explanation:
by the ex variable u will get it
how would you solve 4x - 3y = 78 2x + 3y = 48 by elimination
Answer:
x = 21, y = 2
Step-by-step explanation:
4x- 3y = 78....(1)
2x + 3y = 48 ...(2)
Adding eqiautions (1) and (2)
4x- 3y = 78
2x + 3y = 48
-----------------------
6x + 0 = 126....(Here y has been eliminated)
6x = 126
[tex] x= \frac{126}{6}\\\\
\therefore x = 21\\[/tex]
Plugging x = 21 in equation (2) we find:
2 * 21 + 3y = 48
42 + 3y = 48
3y = 48 - 42
3y = 6
[tex] y= \frac{6}{3}\\\\
\therefore y = 2\\[/tex]
*WILL GIVE BRAINLIEST* the following function represents the production cost f(x), in dollars, for x number of units produced by company 1:
f(x)=0.05x^2-7x+300
The following table represents the production cost g(x), in dollars, for x number of units produced by company 2:
x g(x)
0.6 899.58
0.8 899.52
1 899.50
1.2 899.52
1.4 899.58
Based on the given information, determine which company has a lower minimum and find the minimum value.
a.) f(x) at (1, 899.50)
b.) g(x) at (70, 55)
c.) f(x) at (70, 55)
d.) g(x) at (1, 899.50)
Answer:
C.
Step-by-step explanation:
By analyzing the functions f(x) and g(x), we can see that they are both quadratic relations.
To find the minimum value, we want to find the y-coordinate of the vertex.
In f(x), by using the formula (-b/2a), we get the x-coordinate of the vertex, 70. When we substitute 70 into the function, we get 55 as our minimum.
In h(x), we can see that the lowest y-coordinate in the given points is 899.52. So (1, 899.50) is our vertex.
This means that in f(x), the minimum production cost is $70. In contrast, in h(x), the minimum production cost is $899.50. Therefore f(x) has a lower minimum, with its minimum value at (70, 55), our vertex.
Answer:
The Answer is C. f(x) at (70, 55)
Hope This Helps!
Find the length of the hypotenuse in each right triangle.
(Do 2 of each)
Answer:
2.
a. 14 cm
b. 17 cm
c. 6 cm
d. 8 cm
3.
a. 22 cm
b. 36 cm
c. 16 cm
d. 15 cm
4.
a. 10 cm
b. 40 cm
c. 28 cm
Step-by-step explanation:
The Pythagorean Theorem states the sum of two sides length equals the length of the hypotenuse of the triangle.
Hope this helps!!! PLZ MARK BRAINLIEST!!!