Answer: [tex]176units^3[/tex]
Step-by-step explanation:
We have a composite figure. Find the volume of each figure individually and then add them.
Cube.
[tex]V=a^3\\V=(4units)^3\\V=64units^3[/tex]
Rectangular prism.
[tex]V=w*h*l\\V=(4units)(4units)(7units)\\V=112units^3[/tex]
-----------------------------------------------------
[tex]112units^3+64units^3=176units^3[/tex]
The volume of the figure is 176 cubic units.
What is the volume of the cube?The volume of a cube is given by;
[tex]\rm Volume \ of \ cube =a^3\\\\[/tex]
The volume of the figure above if a = 4 units and b = 7 units.
The volume of a cube is;
[tex]\rm Volume \ of \ cube =a^3\\\\ \rm Volume \ of \ cube =4^3\\\\ \rm Volume \ of \ cube =64[/tex]
The volume of a rectangular prism is;
[tex]\rm Volume \ of \ prism =Length \times width \times height \\\\Volume \ of \ prism =4\times 4\times 7\\\\Volume \ of \ prism= 112[/tex]
The volume of the figure = Volume of cube + Volume of a rectangular prism
The volume of the figure = 64 + 112
The volume of the figure = 176
Hence, the volume of the figure is 176 cubic units.
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Jay borrows $8,000 at a rate of 1.9% interest per year. What is the amount due at the end of 6 years if the interest is compounded continuously?
$8,965.21
$10,027.21
$8,966.02
$25,014.15
What is the results of 3 1/4 - 2 7/8
Answer:
the answer is 3/8 or if you want the answer in a decimal its 0.375
Step-by-step explanation:
HOPE THIS HELPS!!
does anyone know this
Answer:
x = 12.24
Step-by-step explanation:
In any circle the following ratio can be used.
[tex]\frac{arc}{circumference}[/tex] = [tex]\frac{x}{360}[/tex] , substitute values
[tex]\frac{1.88}{2(8.8)\pi }[/tex] = [tex]\frac{x}{360}[/tex] ( cross- multiply )
17.6π x = 276.8 ( divide both sides by 17.6π )
x = [tex]\frac{276.8}{17.6\pi }[/tex] ≈ 12.24
Answer:
12.24°
Step-by-step explanation:
I hope it helps :)
4/10 is the sum of two of which fraction
Answer:
[tex]\frac{2}{5}[/tex]
Step-by-step explanation:
Cancel the common factor of 4 and 10 .
in your class 6 students do not receive weekly allowance. 16 students receive $4 3 students receive $10 and 6 students receive $5. What is the mean weekly allowance?
Answer:
4
Step-by-step explanation:
Functions math, please help.
Derive the equation of the parabola with a focus at (2, -1) and a directrix of y = - =
2
f(x) = -(x + 2)2 - 3
4
7
3
f(x) = (x + 2)2 +
4
3
f(x) = -(x - 2)2 +
4
3
f(x) = -(x - 2)2 -
4
Answer:
the second one is right
Kates Family Saved 2,573 pennies Last Year zoes Family Saved 3 times as many how many pennies did Zoes faily save last year
At the amusement park each students is given $16 dollars for food. This covers the cost of 2 meals plus $4 for snacks. how much money does the school expect each student to spend per meal. Which equation can be used to represent this situation? plz help now if u can
Answer:
16 = 2x + 4
Step-by-step explanation:
The total amount of money they are given is $16. That is split up into 2 equal groups with 4 left over. So you'd have to subtract 4 from both sides. Then divide both sides by 2. This will give you the answer to how much money they expect the students to spend on food.
This is the question?
Answer:
15 ???
think just tryin to help
Don't at me
hannah made 0.7 of her free throws in a basketball game.abbrahmade 9/10 of her free throws.dinah made 3/4 of her free throws. who is the best shooter. EXPLAIN!!
Answer:
Abbrah is the best shooter.
Step-by-step explanation:
Hannah made 0.7 which is equal to 70 out of 100 shots.
Dinah made 3/4 which is equal to 75 out of 100 shots.
Abbrah made 9/10 shots which is equal to 90 out of 100 shots.
Answer:
Abbrah is the best shooter
Step-by-step explanation:
The chart below shows the distribution of weeds in a yard.
A circle graph titled Lawn weeds. The largest proportion is crab grass, then dandelion, then clover, then chickweed.
A lawn-care specialist chooses a random sample from the yard and determines the number of weeds in the sample. The results of the sample are shown in the table below.
Weed Type
Number
Dandelion
2
Clover
3
Crab Grass
2
Chickweed
2
Which explains whether or not this is a representative sample?
Yes, this is a representative sample because each type of weed is represented in the sample.
Yes, this is a representative sample because each type of weed is represented approximately the same number of times in the sample.
No, this is not a representative sample because each type of weed should be represented in proportion to the number of weeds actually present in the yard.
No, this is not a representative sample because each type of weed should be represented exactly the same number of times in the sample.
Answer:
Its c,No, this is not a representative sample because each type of weed should be represented in proportion to the number of weeds actually present in the yard.
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
A small pouch contains 8 black marbles,5 white marbles, and 12 red marbles. Find the probability of picking a red then a black marble if you do not replace the first marble.
Answer:
4/25
Step-by-step explanation:
Total amount of marbles: 8 + 5 + 12 = 25
With 25 marbles, the probability of picking a red is: 12/25
After 1 red marble is removed, the probability of picking a black is: 8/24 = 1/3
Then, the probability of picking a red then a black marble if you do not replace the first marble is: 12/25 * 1/3 = 4/25
Jocelyn has 6 birds. Their mean age is 10. The mode of their age is 8 . What might there ages be ??.
Subject - Math ( Mean, Median, and Mode ) PLZ write the answer correctly !! The best answer will be marked as Braintlies !!
Answer:
total ages = 60
Generally, if the mode is 8 would mean there are more than one age of 8
suppose there are two with age 8,
leaving 44 for the other 4
(11 for the average of the remaining 4)
could have 9 and 13, and 8 and 14
so we could have:
8,8,8,9,13,14
or we could have:
8,8,9,10,12,13
check:of the 1st answer
mean = (8+8+8+9+13+14)/6 = 10
the mode is 8
Step-by-step explanation:
An alloy is composed of nickel, zinc, and copper in a ratio of 7:2:9. How many kilograms of each metal are needed to make 3.6 kg of this alloy?
Answer:
Nickel= 1.8 kg
Zinc= 0.4 kg
Copper= 1.8 kg
Step-by-step explanation:
7:2:9
7=nickel
2=zinc
9=copper
7+2+9=18
18×2=36
7×2=14 2×2=4 9×2=18
Divide by 10
14÷10=1.4 4÷10=0.4 18÷10=1.8
1.8+1.4+0.4= 3.6
1.8=nickel
0.4=zinc
1.8=copper
Amount of each metal are needed to make 3.6 kg of this alloy are,
Nickel = 1.4 kg
Zinc = 0.4 kg
Copper = 1.8 kg
We have to given that,
An alloy is composed of nickel, zinc, and copper in a ratio of 7 : 2 : 9.
Now, We can assume that,
Amount of nickel = 7x
Amount of zinc = 2x
Amount of copper = 9x
Hence, We get;
⇒ 7x + 2x + 9x = 3.6
⇒ 18x = 3.6
⇒ x = 3.6 / 18
⇒ x = 0.2
Thus, WE get;
Amount of nickel = 7x
= 7 × 0.2
= 1.4 kg
Amount of zinc = 2x
= 2 × 0.2
= 0.4 kg
Amount of copper = 9x
= 9 × 0.2
= 1.8 kg
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Find the surface area of an open box with length of 12 inches, width of 7 inches, and height of 4.5 inches
Also, Good Moring
Worth 20 points
Answer:
Step-by-step explanation:
l = 12 inches
w = 7 inches
h = 4.5 inches
Surface area = lw + 2wh + 2hl
= 12*7 + 2*7*4.5 + 2*4.5*12
= 84 + 63 + 108
= 255 square inches
If it is a closed box, surface area = 2*(lw +wh + hl)
As it is open, surface area = lw + 2wh + 2hl
Down part of the box : length *width
Upper part of the box = length*width
So, for closed box, 2lw
For open box , lw
A student is ordering a flower arrangement. She can choose any combination of tulip and carnations for her flower arrangement , and she does not want to spend more than $45. If tulip cost $5 each and carnations cost $3 each, which inequality represents all possible combinations of x tulips and y carnations ? A. 5x + 3y < 45 B. 5x + 3y <= 45 C. 3x + 5y > 45 3x + 5y <= 45
Helppp!
Answer:
[tex]5x+3x \leq 45[/tex] represents all possible combinations of x tulips and y carnations
Step-by-step explanation:
We are supposed to find inequality represents all possible combinations of x tulips and y carnations
Cost of 1 tulip = $5
Cost of x tulips = 5x
Cost of 1 carnation =$3
Cost of y carnations = 3y
We are given that she does not want to spend more than $45.
So, She can spend less than or equal to 45
So, required inequality :[tex]5x+3x \leq 45[/tex]
So, Option B is true
[tex]5x+3x \leq 45[/tex] represents all possible combinations of x tulips and y carnations
Answer:
it would be 5x + 3y <= 45
Step-by-step explanation:
I literally just did this question on my math homework and I got it right .
YOU WILL GET BRAINLIST PLEASE HELP
The mean of four numbers is 25. Three of the four numbers are 20, 26, and 26. What is the fourth number?
Answer:
28 hope this helped
Step-by-step explanation:
20+26+26=72
72+28=100
100/4=25
let the number be X
20 + 26 + 26 + X /4 = 25
72 + X /4 = 25
cross multiply
72 + X = 25*4
72 + X = 100
X = 100.- 72 = 28
X = 28
proof
20 + 26 + 26 +28 / 5 = 25
I hope it will help. can I have braainlest
Allison, Molly, and Connor had a challenge to see who could run the most in one day. Allison ran 2 miles. Molly ran 4 times as many miles as Allison, and Connor ran 3 times as many miles as Molly. How many miles did Connor run?
Answer:
12 miles
Step-by-step explanation:
Allison 2 miles
Molly , (2 times the miles of Allison so 2x2 is 4. so she ran) [4 miles]
Connor (3 times the miles of Molly so 4x3 is 12. so he ran) [ 12 miles}
a) A graph is drawn below.
Explain how you know that y is not directly proportional to x.
Answer:
Because the line doesn’t start at 0 and that shows that y is not proportional to x.
Step-by-step explanation:
That is all you have to write
A graph can show direct, inverse and joint proportions.
y is not directly proportional to x because the graph does not pass through the origin
From the graph, we can see that:
When x = 0, y > 0
i.e. y is greater than 0, when x equals 0
This means that, the equation of the graph is:
[tex]\mathbf{y = mx + b}[/tex], where b > 0
A proportional equation is represented as:
[tex]\mathbf{y = mx}[/tex]
Hence, y is not directly proportional to x because the graph does not start from the origin
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Simplify the expression.
( 6x + 1/2) + ( 5x - 3 1/2 )
Answer:
(11x-3)
Step-by-step explanation:
This is because the two parenthesis are adding together, we can simply combine the like terms 6x and 5x to get 11x.
Then, combine 1/2 + a -3 1/2, which is equal to -3.
(Oh, i didn't see the minus sorry! It's fixed now!)
Answer:
11x -3
Step-by-step explanation:
(6x + 1/2) + (5x - 3 1/2) Add like terms
6x + 5x = 11x
1/2 - 3 - 1/2 = -3
11x - 3
If Kevin wants a 90 average in math after 5 tests and his first 4 tests are 76, 92, 89 and 97 what does he need on the fifth test for a 90 average?
The baseball diamond at a playground is a square with sides that measure 90 feet, About how long would a straight line be from home plate to second base? Round your answer to the nearest tenth
A 127.3 feet
B 180 feet
C 90 feet
D 16,200 feet
Answer:
A straight line from home plate to second base would have distance:
D = sqrt(2 x 90^2) = 127.3 feet
=> Option A is correct
Hope this helps!
:)
The distance from the home plate to second base in a straight line is required.
The required distance is option A 127.3 feet.
SquareA baseball field is in the shape of a square this means that all corners have the angle [tex]90^{\circ}[/tex]
So, two sides of the square can act as legs of a right triangle and the diagonal can act as the hypotenuse.
A straight line between the home plate and second base would be the diagonal of the square.
The length of each side of the square is 90 feet.
Applying the Pythagoras theorem
[tex]d=\sqrt{90^2+90^2}\\\Rightarrow d=90\sqrt{2}\\\Rightarrow d=127.279\approx 127.3\ \text{feet}[/tex]
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The surface area of a cylinder is 1000 square centimeters. The radius of the cylinder is four times the
height. What is the height of the cylinder?
Answer:
h = 2.82 cm
Step-by-step explanation:
[tex]surface area = 2 \pi R^{2} + 2 \pi R h\\1000 = 2 \pi (16h^{2} ) + 2 \pi (4h^{2} )\\1000 = 32 \pi h^{2} + 8\pi h^{2} \\1000 = 40 \pi h^{2} \\25 = \pi h^{2} \\\\h = \sqrt{\frac{25}{\pi} } = 2.82 cm[/tex]
Members of alachua district choir were asked, when given the choice between romanticism or gothic style singing, which style they preferred to sing for state competition. The data was broken down by gender
The question is incomplete, so here is the complete question.
Members of alachua district choir were asked, when given the choive between romanticismor gothic style singing, which style they preferred to sing for state competition. The data was broken down by gender:
48 males preferred Romanticism
63 males preferred Gothic
59 females preferred Romanticism
62 females preferred Gothic
Part A: Fill in and complete the following contigency table. Circle the largest joint frequency and put a box around the smallest marginal frequency.
Romanticism Gothic Total
Males
Females
Total
Part B: Which style was preferred as the state competition piece and by what percentage?
Part C: Which subject was preferred the most by Males?
Part D: What frequency does 125/232 represent?
Answer and Step-by-step explanation:
Part A:
Romanticism Gothic Total
Males 48 63 111
Females 59 62 121
Total 107 125 232
Part B: The preferred style is Gothic by a percentage of
P = [tex]\frac{125}{232}[/tex]
P = 54%
Part C: According to the table, the style preferred the most by males was Gothic, since 63 males chose it over 48 that chose Romanticism.
Part D: The frequency 125/232 represents the total of people (male AND female) that preferred Gothic over the total of people in both categories.
What is the length of the missing side?
6 ft
7 ft
Answer:
9.21954446 (but round to what ever place is required)
Step-by-step explanation:
Use the Pythagorean theorem
a^2+b^2=c^2
6^2+7^2=c^2
36+49=c^2
85=c^2
c=9.21954446
round to what ever place you need
What is the slope of a ramp that rises 6 inches for every horizontal
change of 12 inches?
1)2
2)1/6
3)1/2
4)1/12
A honey bee has a mass of 100 mg. How many bees would you need for a mass of 3 kg?
Answer:
you need 3000000 bees
Step-by-step explanation:
1kg=1000000mg.
1000000x3=3000000
hope this helps, have a good day :)
Which technique is most appropriate to solve this equation?
x2 + 6= 31
Question 2 options:
quadratic formula
zero product property
square root property
Answer:
Square root property
Step-by-step explanation:
The given equation is :
[tex]x^2+6=31[/tex]
We need to write the most appropriated technique to solve the above equation.
Subtracting both sides of the above equation by 6 such that,
[tex]x^2+6-6=31-6\\\\x^2=25[/tex]
Now taking square root on both sides we get :
[tex]x=\sqrt{25}[/tex]
The square root property is used here, such that the value of x is :
[tex]x=\pm 5[/tex]
what is the equation of the line passing through ( -5, -3 ) and perpendicular
to the line representing the equation y = - 5/7x + 2?
Answer:
y = 7/5x + 4
Step-by-step explanation:
use the slope from the equation -5/7 and take the negative reciprocal to get the perpendicular slope = 7/5. Then use the equation y=mx+b. Plug in x and y from the point given and the new slope and solve for b.
(-3) = (7/5)(-5) + b, (-3) = -7 + b, add 7 to both sides. b = 4. Rewrite the equation now to be y = 7/5x + 4