Answer:
152 ft^3
Step-by-step explanation:
Split into 2 different shapes. Find the volume of both, and add.
3*10*4=120 ft^3
4*4*2=32 ft^3
120+32=152 ft^3
Answer:
XD
Step-by-step explanation:
Convert 500 cubic into gallons round to whole number
The conversion of 500 cubic into gallons round to whole number is 3 gallons.
The concept that will be used is the concept of converswion of units.
It should be noted that there are 7.48 gallons of water in one cubic foot of water. Then we were given 500 cubic, then,
1cubic inch = 0.004329
500 cubic = X gallons
where X is the value in gallons, then cross mul;tiply we have
X= (500 cubic * 0.004329) = 2.1645 gallons
Therefore, the conversion into gallons will gives us 2.1645 gallons, then we can round into whole number was instructed as 3 gallons.
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What is the radium and diameter of a circle that is 7meters
Answer
Radius: 3.5m
Diameter: 7
Step-by-step explanation:
Radius
Using the formula
d = 2 r
Solving for radius
r = d/2 = 7/2 = 3.5m
Diameter
Diamater is twice the radius so diamater will be 7.
3.5 x 2 = 7
Find the equation of the exponential function
If todd is practising skating drills. He skates around the face-off circle of the ice rink. If the circle has a radius of 4.5cm, how far does he skate when he goes around the circle twice?
The total distance if he goes around the circle twice is 56.52 cm
How far does he skate when he goes around the circle twice?The answer of this is equal to two times the circumference of the circle, remember that for a circle of radius R, the circumference is:
C = 2πR
with π = 3.14
Then in this case the length is:
L = 4πR
In this case the radius is 4.5cm, then the length is:
L = 4*3.14*4.5cm = 56.52 cm
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3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
please help me pleassee
it's a prism that is good question it's a prism ok a prism
Answer:
A prism. A pyramid would look a little different, and flat too.
Hope that helps!
Step-by-step explanation:
fourteen less than five times a number is three times the number. define a variable, write an equation, and solve to find each number.
5x-14=3x
Then you just solve for x
X being 7
Hope this helped!
I need help with this please
The total amount of sugar that was consumed by Kylie in the past nine (9) days is equal to 3 units of sugar.
What is a line plot?In Mathematics and Statistics, a line plot refers a type of graph that is used to graphically represent a data set above a number line, while using crosses, dots, or any other mathematical symbol.
Based on the data and information provided in the line plot shown in the image attached above, we can calculate the total amount of sugar that was consumed by Kylie in the past nine (9) days as follows:
Total sugar consumed = (1/8 + 1/8 + 1/8) + 1/4 + (3/8 + 3/8 + 3/8) + (5/8 + 5/8)
Total sugar consumed = 3(1/8) + 1/4 + 3(3/8) + 2(5/8)
Total sugar consumed = 3/8 + 1/4 + 9/8 + 10/8
Total sugar consumed = 22/8 + 1/4
Total sugar consumed = (22 + 2)/8
Total sugar consumed = 24/8
Total sugar consumed = 3 units of sugar.
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This scale drawing of a rectangular computer chip has dimensions 5,5 centimeters by 12.75 centimeters. The length
of the longer side of the actual chip is 25.5 millimeters,
5.5 cm
12.75 cm
Enter the area, in square millimeters, of the actual chip,
Answer:
280.5 mm^2
Step-by-step explanation:
scale * 25.5 mm = 127.5 mm 1275/25.5 = 5 scale factor
25.5 * 55/5 = 280.5 mm^2
The graph of g is a translation 1 unit down of the graph of f(x) = 3|x| – 4. The rate of change of g over the interval 2 ≤ x ≤ 5 is
The solution is: the rate of change is 3.
Here, we have,
Since the graph of f(x) is translated 1 unit down, we need to decrease the value of f(x) by 1 to find g(x):
g(x) = f(x) - 1
f(x) = 3|x| – 4
so, we get,
g(x) = 3|x| – 4 - 1
= 3|x| – 5
Now, to calculate the rate of change over the interval 2 <= x <= 5, we can use the formula below:
rate = g(5) - g(2)/ 5-2
so, we get,
rate = 9/3 = 3
Therefore the rate of change is 3.
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The perimeter of the shape below is 44 feet. What is the area in square feet?
Answer:
2(4x+2+6x)=44
10x+2=22
10x=20
x=2
area= 10*12=120sq feet
Step-by-step explanation:
Find the length of side x in simplest radical form with a rational denominator.
√7
60°
x
30°
The length of side x in simplest radical form with a rational denominator is 2√38.
To find the length of side x in simplest radical form with a rational denominator, we can use trigonometric ratios. Here, we are given two angles and the hypotenuse of a right triangle. We need to find the length of one of the sides. Let's use the angle 30°.
First, we need to identify which trigonometric ratio involves the angle 30°. In this case, we will use the sine ratio:
sin(30°) = opposite / hypotenuse
We know the hypotenuse is √760, but we don't know the length of the opposite side. We can rearrange the equation to solve for the opposite side:
opposite = sin(30°) x √760
Now, we need to simplify this expression by rationalizing the denominator. To do this, we can multiply the numerator and denominator by √10:
opposite = sin(30°) x √760 x √10 / √10
opposite = sin(30°) x √7600 / 10
opposite = (1/2) x √7600 / 10
opposite = √1900 / 5
Now we know the length of the opposite side. We can use the same process to find the length of the adjacent side using the cosine ratio:
cos(30°) = adjacent / hypotenuse
adjacent = cos(30°) x √760
adjacent = cos(30°) x √760 x √10 / √10
adjacent = cos(30°) x √7600 / 10
adjacent = (√3/2) x √7600 / 10
adjacent = √5700 / 5
Now that we know the length of the opposite and adjacent sides, we can use the Pythagorean theorem to find the length of the missing side:
x^2 = (opposite)^2 + (adjacent)^2
x^2 = (√1900 / 5)^2 + (√5700 / 5)^2 \
x^2 = 1900/25 + 5700/25
x^2 = 760/5
x = √(760/5)
x = √(152)
x = 2√38
Therefore, the length of side x in simplest radical form with a rational denominator is 2√38.
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Mr. Herman's class is selling candy for a school fundraiser. The class has a goal of raising \$500$500dollar sign, 500 by selling ccc boxes of candy. For every box they sell, they make \$2.75$2.75dollar sign, 2, point, 75. Write an equation that the students could solve to figure out how many boxes of candy they need to sell.
━━━━━━━☆☆━━━━━━━
▹ Answer
182 boxes
▹ Step-by-Step Explanation
$500 ÷ $2.75
= 181.81 ... → 182 boxes
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
182
Step-by-step explanation:
500/2.75 = 181.81
181.81 = 182
One wall in Zoe’s bedroom is 5 feet wide and 8 feet tall. Zoe puts up a poster of her favorite athlete. The poster is 2 feet wide and 3 feet tall. How much of the wall is not covered by the poster?
Answer:
the total area of her wall is 40 feet since 5x8=40. if the poster takes up 6 feet since 2x3=6 she has 34 feet of her wall that is not covered by the poster
Point B lies on AC between A and C. If AB = 8 and AC = 10, find BC.
Write down in terms of n, an expression for the nth term
of the following sequences
a) 25 20 15 10 5
Answer:
Solution,
First term (a) = 25
Common difference (d) = Second term - first term = 20 - 25 = -5
Now,
nth term = a + (n - 1)d = 25 + (n - 1) (-5) = 25 - 5n +5 = 30 - 5n
The nth term of the series is 30 - 5n
Answer:
The nth term will be:
\(a_n=-5n+30\)
Step-by-step explanation:
Given the sequence
25, 20, 15, 10, 5
An Arithmetic sequence has a constant difference 'd' and is defined by
\(a_n=a_1+\left(n-1\right)d\)
Computing the common difference of all the adjacent terms
\(25,\:20,\:15,\:10,\:5\)
\(20-25=-5,\:\quad \:15-20=-5,\:\quad \:10-15=-5,\:\quad \:5-10=-5\)
As the difference between all the adjacent terms is the same and equal to
\(d=-5\)
Also, the first term is:
\(a_1=25\)
Hence, the nth term will be:
\(a_n=a_1+\left(n-1\right)d\)
\(a_n=-5\left(n-1\right)+25\) ∵ \(a_1=25\), \(d=-5\)
\(a_n=-5n+30\)
Therefore, the nth term will be:
\(a_n=-5n+30\)
Help me pls in math to solve these thank u
Step-by-step explanation:
y = mx + b
m = 3
b = 2
y = 3x + 2
______________________
y = mx + b
m = 1/2
b = -1
y = 1/2x + (-1)
y = 1/2x -1
Using the diagram below, identify the relationship of the pair of angles and find the value of x.
Answer:
The angles are supplementary to each other (their sum is 180 degrees)
x = 62°
Step-by-step explanation:
(2x+10) + 46 = 180
subtract 56 from each side
2x = 124
divide both sides by 2
x = 62°
Help please I’m dying and it is dew tomorrow and I have no clue what it could be
The effect on the graph for the given function if the slope of the function is changed to -10 include the following: D. the line is less steep.
The effect on the graph for the given function if the y-intercept of the function is changed to a smaller positive number is: C. the line shifts down.
What is a slope?In Mathematics, a slope is sometimes referred to as rate of change and it is typically used to describe both the direction, ratio, and steepness of the function of a straight line based on its coordinates or points.
Generally speaking, a slope simply refers to a measure of the steepness of a straight line. This ultimately implies that, the higher the slope of a line, the more steep it is and vice-versa.
Based on the information provided about this function y = 8 - 2x, we can logically deduce that the line would be shifted downward when its y-intercept is changed to a smaller positive number.
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Which value of x in the equation 18x + 5 - 3 = 65 makes the equation true
Answer:
the value of x that makes the equation true is x = 3.5.
Step-by-step explanation:
To find the value of x that makes the equation 18x + 5 - 3 = 65 true, we need to simplify the equation and solve for x.
Starting with the equation:
18x + 5 - 3 = 65
First, combine like terms:
18x + 2 = 65
Next, isolate the term with x by subtracting 2 from both sides:
18x = 65 - 2
18x = 63
Finally, divide both sides of the equation by 18 to solve for x:
x = 63 / 18
x = 3.5
Therefore, the value of x that makes the equation true is x = 3.5.
The answer is:
x = 7/2 (3.5 in decimal form)Steps & work :
First, I focus only on the left side.
Combine like terms:
\(\sf{18x+5-3=65}\)
\(\sf{18x+2=65}\)
Subtract 2 from each side:
\(\sf{18x=63}\)
Now, divide each side by 18:
\(\sf{x=\dfrac{63}{18}\)
Clearly, this fraction is not in its simplest terms, and we can divide the top and bottom by 9:
\(\sf{x=\dfrac{7}{2}}\)
\(\therefore\:\:\:\:\:\:\stackrel{\bf{answer}}{\boxed{\boxed{\tt{x=\frac{7}{2}}}}}}\)
2. Calculate cost, given the following figures for cost percent and sales:
a. Cost percent, 28.0%; Sales, $500.00
b. Cost percent, 34.5%; Sales, $2,400.00
c. Cost percent, 24.8%; Sales, $225.00
The cost are a) cost=140dollar b) cost=828dollar
c) cost =55.8dollar
a) given that cost percent =28.0% sales=500dollar we have to calculate cost=?
we know that, cost=cost percent *sales now put the given value we have cost=0.28*500dollar (cost percent =28%=28/100=0.28) cost=140 dollar
b) given that cost percent =34.5% sales=2400dollar we have to calculate cost=?
we know that, cost=cost percent *sales now put the given value we have cost=0.345*2400dollar (cost percent =34.5%=34.5/100=0.345) cost=828 dollar
c) given that cost percent =24.8% sales=225.00dollar we have to calculate cost=?
we know that, cost=cost percent *sales now put the given value we have cost=0.248*225dollar (cost percent =24.8%=24.8/100=0.248) cost=55.8 dollar
Hence the cost are a) cost=140dollar b) cost=828dollar
c) cost =55.8dollar
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Evaluate the Piecewise Function. Please Hurry
The value of piecewise function at x = -1 is f(-1) = 11, and the value of piecewise function at x = 9 is f(9) = 1.
what is piecewise function?
A piecewise-defined function in mathematics is one that is composed of several smaller functions, each of which has a specific interval of the domain it applies to. Instead of being a property of the function itself, piecewise definition is a way to express the function.
We have to evaluate the piecewise function for x = -1 and x = 9.
Let, function has value for x = -1 in the domain x ≤ 5 which is 11.
And function has value for x = 9 in the domain 6 < x which is 1.
⇒ f(-1) = 11 and f(9) = 1
Hence, the value of piecewise function at x = -1 is f(-1) = 11, and the value of piecewise function at x = 9 is f(9) = 1.
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The equation of a line is y=4x+6.
What is the slope of this line?
identify the coefficient, constant, and variable in the expression: - 5 + 8w
Answer:
coefficient=8
constant=-5
variable=x
Step-by-step explanation:
Answer:
-5 constant
8 coefficient
w variable
Step-by-step explanation:
convert the proof to the paragraph format
Since AC, MN and DB intersect at O, ∠AOM ≅ NOC and ∠MOD ≅ ∠BON by the vertical angles theorem. It is given that ∠BON ≅ ∠NOC, so by the transitive property of congruence, ∠AOM ≅ ∠MOD
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An angle is formed from the intersection of two or more lines. Types of angles are acute, obtuse and right.
Since AC, MN and DB intersect at O, ∠AOM ≅ NOC and ∠MOD ≅ ∠BON by the vertical angles theorem. It is given that ∠BON ≅ ∠NOC, so by the transitive property of congruence, ∠AOM ≅ ∠MOD
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what is 2.6 / 13 7.8 ?
Answer:
1.56
Step-by-step explanation:
If you were trying to make your equation look like (2.6/13)7.8 , then the answer would be 1.56.
2.6 * 7.8 = 20.28
20.28 / 13 = 1.56
If you were trying to make you equation look like 2.6/137.8 , then the answer would be 0.01886792452
g(x)
12 fy
10
88
8
6
4
4-3-2-12
-8
10
-1²1
f(x)
4 5 6 x
Which statement is true regarding the functions on the
graph?
Of(6) = g(3)
f(3) = g(3)
f(3) = g(6)
f(6) = g(6)
PLEASE HURRY IM TIMED!!!!
Answer: f(3) = g(6)
Step-by-step explanation: if you plug them in we see that f of 3 on the y axis intercept g of x so we then go up and see that g of 6 intercepts f of 3 so therefore that is the answer
3. Which of the following is an example of overdraft protection?
A. Bank pays you interest on money in your savings account
B. Bank collects additional fees when you bounce a check
OC. ATM machine provides you with cash
D. Bank charges a large fee for bouncing a check
PLEASE HELP 4 $
Answer:
D. Bank charges a large fee for bouncing a check is not an example of overdraft protection.
Step-by-step explanation:
Overdraft protection is a service offered by banks that allows you to link your checking account to another account, such as a savings account or a line of credit. If you overdraw your checking account, the bank will automatically transfer funds from the linked account to cover the shortfall, which helps you avoid overdraft fees and other penalties.
Option A is not an example of overdraft protection as it refers to earning interest on money in your savings account, which is a separate service.
Option B refers to additional fees collected by the bank when you bounce a check, which is a penalty for not having sufficient funds in your account to cover the check.
Option C refers to an ATM machine providing you with cash, which is a basic function of an ATM and is not related to overdraft protection.
Two UNO students want to start a business selling slushies at the Gene Leahey Mall during the summer. They will have an initial cost of $500 to buy equipment and an additional $1.25 cost for each slushie they sell. They
plan to charge $3.50 for each slushie. Let C(x) represent the cost (in dollars) associated with starting and running the business and R(x) represent the revenue (in dollars) earned from sales. Let x represent the number
of slushies sold.
a. Write a linear function for cost.
C(x) =
b. Write a linear function for revenue.
R(x) =
Part (a)
The cost is the initial cost plus the cost per slushie multiplied by the number of slushies sold.
\(C(x)=500+1.25x\)
Part (b)
The revenue is the number of slushies sold multiplied by the amount charged per slushie.
\(R(x)=3.50x\)
An isosceles triangle with congruent sides of length
49.3 inches has a perimeter of 121.7 inches Find the
length of the base.
The length of the base is 22.1
An isosceles triangle with congruent sides of length 49.3 inches has a perimeter of 121.7 inches
An triangle is said to be isosceles if two sides of the trainagle have same length.
The two sides of this triangle is congurent that is they have same length = 49.3
perimeter of a triangle is the summation of all three sides.
Perimeter = length + base + length
121.7 = 49.3 + base + 49.3
base = 121.7 - 99.6
base = 22.1
Therefore, the length of the base is 22.1
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