Answer:
V = 288π units³
Step-by-step explanation:
The formula for the volume of a sphere is V = (4/3)πr³.
With r = 6 units, the volume of this sphere is V = (4/3)π(6 units)³, or
V = (4π/3)(216 units³), or V = 288π units³
Find the median for the following list of values:
1, 2, 4, 7
Answer:
3
Step-by-step explanation:
Since there are an even number of data points (there are 4 points), and since the data has already been written in ascending order, the median is the average of the middle two terms: (2 + 4)/2 = 3
Answer:
Median: 3
Step-by-step explanation:
Median: the number in the middle
1, 2, 4, 7
Median is between 2, 4
Therefore, the median is 3
Which of the following expressions represents the distance between-1/4 and 3/4
Answer:
|-1/4 - 3/4|
Step-by-step explanation:
To get the distance, take the absolute value of the second point minus the first point
| 3/4 - - 1/4|
|3/4 + 1/4|
We can also take the absolute value of the first point minus the second point
|-1/4 - 3/4|
For an experiment, Doris brought a container filled with snow into a warm environment. After 4
minutes, 12.88 grams of the snow remained. How many grams of snow were in the container
originally if 44% of it had melted after the 4 minutes?
Answer:
23 grams of snow
Step-by-step explanation:
44% melted, so, 100% - 44% = 56% remained.
56% = 12.88 grams
1% = 12.88/56 = 0.23 grams
100% (= original snow) = 100×1% = 100×0.23 = 23 grams
the question is kind of nonsense, because snow is made of water, and that water weighs the same, if it is in snow form or in liquid form. melting it or freezing it does not change its weight. only its volume.
so, actually the container contained 23 grams of water substance at the beginning, and still contains 23 grams of water substance.
gradient of line AB (3,7) and (5,11)
Answer:
Gradient is change in y over change in x.
gradient = y1-y2 ÷ x1-x2
=7-11 ÷ 3-5
=-4 ÷ -2
=2
Use the slope/gradient formula below:
[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]
This formula is for when we want to find the gradient when we have two given points. (We also call it Rise Over Run or changes of y over the changes of x.)
We are given two points which are (3,7) and (5,11). Substitute these points in the equation. (the ordered pairs are in (x,y) and not (y,x))
[tex] \large{m = \frac{11 - 7}{5 - 3} } \\ \large{m = \frac{4}{2} \longrightarrow \boxed{m = 2}}[/tex]
Hence, the gradient of AB is 2.
Answer
gradient is 2Round 0.006772 to 1 significant figures.
Answer:0.007
Step-by-step explanation: the number after 6 is more than half of ten,therefore it is added to 6 as 1.To leave you with one significant figure.
0 is insignificant
I REALLy need help with these I got them wrong
Answer:
A = (1/2 x b x h ) 4 + l^2
= 1/2 x 5 x 8 x4 + 5 x 5
80 + 25
= D. 105 cm2
Answer:
105
Step-by-step explanation:
Please answer properly.
Answer:
Step-by-step explanation:
$15 is a constant value while $5 change depending by the hours.
We can write this expression to find the total cost:
5r + 15
part b
1) substitute r with 3
5 * 3 + 15
2) solve the expression
15 + 15 = $30
If X = 14 units and h = 8 units, then what is the area of the triangle shown above?
Answer:
56 units
Step-by-step explanation:
Let us start by the formula of the area of a triangle, [tex]\frac{b*h}{2}=A[/tex]. A represents the area of the triangle, b represents the base of the triangle, and h represents the height of the triangle.
In this case, we can pretty clearly tell that h represents the height of the triangle and x represents the base of the triangle. We are also given that x=14 units and h = 8 units. Lets plug our values into the equation!
[tex]A=\frac{h*x}{2} \\A=\frac{14*8}{2} \\A=\frac{112}{2} \\A=56[/tex]
Therefore, the area of the triangle is 56 units.
I hope this helps! Please let me know if you have any questions :)
Find the measure of angle D
Answer:
Step-by-step explanation:
You can't see the picture really well
Item
Sales Tax (7%)
Total Price
Play Station 5 - $500
Hoverboard - $125
Find A^c U B if sample space S = {1 to 20}, A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, and B = {2, 4, 6, 8, 7, 10, 12, 14, 16, 18}
Answer:
Step-by-step explanation:
S={1,2,...,20}
A={1,2,3,4,5,6,7,8,9,10}
A^c={11,12,13,...,20}
B={2,4,6,8,7,10,12,16,18}
A^cU B={2,4,6,7,8,10,11,12,13,14,15,16,17,18,19,20}
Explain why the square root of a number is defined to be
equal to that number to the 1/2 power.
Answer:
The square root is the inverse operation to the power of 2, so that whenever you take a number and perform both actions on it, you get the same number back.
Sample Answer: Squaring and square root are inverses, so one should "undo" the other. That is, squaring the square root of a number results in the number. Using the power of a power rule, you multiply the exponents. Since a number to the first power is itself, the product of the exponents must equal 1. This means that the power of the square root must be the reciprocal of 2, or one half.
Solve the inequality and then determine which graph is correct. 55 ≤ 24 + x
Answer:
C is the answer
Step-by-step explanation:
24 + x ≥ 55
x ≥ 31
solutions are all values to the right of 31, including 31
The answer is C.
(Optional) First, reorder the terms of this inequality so you know what you're working with. (x + 24 ≥ 55)
Subtract 24 on both sides of the ≥ sign.
x ≥ 31
When using either ≤ or ≥, it will be a closed circle on a number line. The direction of the sign acts as an arrow that tells you which direction the line will be going.
f(n) = 4n +7
Is it geometric or arthmetric
Answer:
geomatric
Step-by-step explanation:
Answer:
Arithmetic
Step-by-step explanation:
The difference between terms is constant
An architect drew plans for an office building.
The building will have the dimensions shown.
Building is made up of 2 cuboids. First cuboid has length as 10 ft, height as 12 ft and width as 10ft. Second cuboid has length as 10 ft, height as 30 ft and width as 10 ft.
Part A
Which is an expression for the total volume of the building?
A. (20 × 10 × 30) + (12 × 10 × 10)
B. (10 × 10 × 30) + (10 × 10 × 12)
C. (30 × 10 × 10) + (10 × 10 × 20)
D. (10 × 20 × 30) + (10 × 12 × 20)
Part B
What is the volume of the building? Enter your answer in the box.
ft3
Answer:
b
Step-by-step explanation:
how to solve!? help pls I’ll give brainliest :))
Let me know if anything's unclear
PLS HELP!!!
The function c = 1.50(n – 2) + 5.50 represents the cost c in dollars of printing n invitations. Which of the following is not true?
A. Each invitation costs $5.50 to print.
B. For each additional invitation, it costs an extra $1.50 to print.
C. One can not print just one invitation.
D. The cost depends on the number of invitations printed.
Answer:
A
Step-by-step explanation:
Hope this helped!
Answer:
i am pretty sure its B
Step-by-step explanation:
Marcus wants to end the semester with at least an 85 test average in his math class. On his first 3 tests, he earned 83, 97, and 80. What will he have to earn on his fourth test to have at least an 85 average? Let g represent the grade needed on his fourth test. Write an inequality that models the situation.
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\frac{83+97+80+g}{4} \geq 85[/tex]
»»————- ★ ————-««
Here’s why:
The average is found by dividing the sum of the values by the number of values.⸻⸻⸻⸻
[tex]\frac{83+97+80+g}{4} \geq 85[/tex]
⸻⸻⸻⸻
The numerator would consist of the test grades and the unknown 'g' and the denominator would be the number of tests he taken.
"At least" indicates a greater than or equal to inequality.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Solve the equation. 9a = 81 what does a equal
Answer:
a=9
divide 81 by 9 on both sides and you get 9.
Step-by-step explanation:
Answer:
a = 9
Step-by-step explanation:
To solve this equation for a, divide both sides by 9.
The result is a = 81/9, or a = 9.
151°
116°
135°
139°
101°
136° 164°
What is the value of x? PLEASE HELP
If θ is an angle in standard position and its terminal side passes through the point (6,1), find the exact value of
sec
θ
secθ in simplest radical form.
Given:
θ is an angle in standard position.
Its terminal side passes through the point (6,1).
To find:
The exact value of secθ in simplest radical form.
Solution:
If θ is an angle in standard position and its terminal side passes through the point (x,y), then the exact value of secθ is:
[tex]\sec\theta =\dfrac{Hypotenuse}{Base}[/tex]
[tex]\sec\theta =\dfrac{\sqrt{x^2+y^2}}{x}[/tex]
It is given that θ is an angle in standard position and its terminal side passes through the point (6,1), then the exact value of secθ is:
[tex]\sec\theta =\dfrac{\sqrt{6^2+1^2}}{6}[/tex]
[tex]\sec\theta =\dfrac{\sqrt{36+1}}{6}[/tex]
[tex]\sec\theta =\dfrac{\sqrt{37}}{6}[/tex]
Therefore, the exact value of secθ is [tex]\dfrac{\sqrt{37}}{6}[/tex].
Which of these are a trinomial
Hi there!
»»————- ★ ————-««
I believe your answer is:
D) [tex]c^2+c+6[/tex]
»»————- ★ ————-««
Here’s why:
A trinomial is a expression that consists of three terms. A term can be a number, variable, or both numbers and variables that are multiplied together. Answer choice 'D' has three terms, c², 'c', and '6'. Therefore, it is a trinomial.»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
The original price of a skateboard, not including tax, was $96. Charlie bought the skateboard on sale, and he saved 30% off of the original price.
What was the sale price of the skateboard?
Write the equation of a line parallel to y = -2x +4 that goes through (-3,9). Show all
work.
Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 14 feet and a height of 9 feet. Container B has a diameter of 10 feet and a height of 20 feet. Container A is full of water and the water is pumped into Container B until Container A is empty. To the nearest tenth, what is the percent of Container B that is empty after the pumping is complete?
Answer:
11.8 % empty
Step-by-step explanation:
volume of cylinder : pi × r² × h
attention ! the question gives us diameter, so for radius we need to cut them in half.
Va = pi × (14/2)² × 9 = pi×49×9 = 1385.44236... ft³
Vb = pi × (10/2)² × 20 = pi×25×20 = 1570.79633... ft³
after filling B with everything in A there is still some empty volume in B
Vb empty = Vb - Va = 185.35397... ft³
so,
100% Vb = 1570.79633... ft³
1% Vb = 15.7079633... ft³
so, how often does 1% of the total volume of B fit into the remaining empty volume of B ?
185.35397... / 15.7079633... = 11.8%
the cost price of a dress is $640. At a sale 20% discount is given. What is the selling price of the dress.
A. $128,
B.$512
C. $660,
D. $768
Answer:
512$
Step-by-step explanation:
640$-640$.20/100=512$
The triangle below is equilateral. Find the length of side x in simplest radical form with a rational denominator.
Answer:
3√2
Step-by-step explanation:
since it is equilateral we can add say base = 2 * [tex]\sqrt{6\\}[/tex]
all sides = 2[tex]\sqrt{6}[/tex]
we use Pythagorean theorem for solving x
a^2 + b^2 = c^2
c^2 - a^2 = b^2
(2[tex]\sqrt{6}[/tex])^2 - (
(24) - (6) = b^2
18 = b^2
b = √18 = √(9*2) = 3√2
please if you find the answer helpful mark it brainiest
Help Me please!!!!! Rn
Answer:
20 degrees
Step-by-step explanation:
The sum of inner angles of a triangle is 180 degrees
120 + 40 + x = 180
160 + x = 180
x = 20
Answer:
A + 120 + 40 = 180 (interior angles of a triangle equal to 180°)
A = 180-120-40
A = 20°
What is -33 + m = -29
Answer:
m = 4
Step-by-step explanation:
m = -29 + 33
Answer:
the answer is m=4
hope this helps
have a good day :)
Step-by-step explanation:
33+-29=4
It costs a family 216 dollars to refinish a wood floor. They want to refinish the floor in a larger room. The ratio of length of corresponding sides is 3:4. How much would it cost to finish the floor.
Answer:
It costs a family 216 dollars to refinish a wood floor. They want to refinish the floor in a larger room. The ratio of length of corresponding sides is 3:4. How much would it cost to finish the floor.
Step-by-step explanation: