Answer:
[tex] {x}^{2} - 72 = 0[/tex]
Step-by-step explanation:
[tex]the \: standard \: form \: a \: quadratic \: equation \:\\ is \:a {x}^{2} + bx + c = 0 \\ \therefore \: {x}^{2} - 20 = 52 \\ {x}^{2} - 20 - 52 = 0 \\ {x}^{2} - 72 = 0[/tex]
Write an equation for the following:
A number increased by 6 is 22.
Solve your equation (show steps) to find the number.
Answer:
16
Step-by-step explanation:
What is the range 0 -9 -9 -6 -4 -7 -5 -3
Answer:
9
Step-by-step explanation:
put in order least to greatest
-9 -9 -7 -6 -5 -4 -3 0
9-0=9
range cannot be negative because it is the space between numbers and distance cannot be negative
Answer: The range is 9.
Directions: Solve each volume problem using the information given. Use 3.14 for pi and label your answer with the appropriate units.
1.) The school cheer leading team uses megaphones in their routines. Each megaphone is a cone. The radius of the megaphone is 5.1 inches and the height of the megaphone is 19.3 inches. What is the volume of the megaphone?
2.) You and your friends buy ice cream cones at the local ice cream shop. The radius of the ice cream cone is 44 millimeters and the volume of the ice cream cone is 356,456.2136 cubic millimeters. What is the height of the ice cream cone?
Answer:
A. 525.42 inches^3
B. 175.91 mm
Step-by-step explanation:
a. Here we are asked to calculate the volume of the cone given the radius and the height of the cone.
Mathematically, the volume of the cone can be calculated using the formula below;
V = 1/3 * π * r^2 * h
where r is the radius which is 5.1 inches and h is the height of the megaphone = 19.3 inches
Plugging these values, we have;
V = 1/3 * 3.14 * 5.1^2 * 19.3 = 525.42 inches^3
b. Here we are tasked with calculating the height given the value of the volume and the radius.
mathematically, the formula to use is
V = 1/3 * π * r^2 * h
where V = 356,456.2136 cubic millimeter and r is 44mm
plugging these values we have
356,456.2136 = 1/3 * 3.14 * 44^2 * h
h =( 1,069,368.6408)/6,079.04
h = 175.91 mm
Graph x^3 + 3x^2 − x − 3 = 0. What are the solutions to the equation?
x = −3, x = 0, and x = 1
x = −3, x = −1, and x = 0
x = −3, x = −1, and x = 1
x = −1, x = 1, and x = 3
Answer:
x = −1, x = 1, and x = - 3
Step-by-step explanation:
hello :
if : x=1 1^3 + 3×1^2 − 1 − 3 =1+3-1-3 =4-4=0......true
if : x=-1 (-1)^3 + 3×(-1)^2 +1− 3 =-1+3.+1-3.=0...true
if : x=3 (-3)^3 + 3×(-3)^2 + 3 − 3 =-27+27+3-3.=0.....true
Which ratio is equivalent to 7:3 =
Answer:
i think 14:6 is correct but im not too sure
Answer:
[tex]\frac{7}{3}=\frac{7n}{3n}[/tex]
n ∈ Z
[tex]\frac{7*(-5)}{3*(-5)}=\frac{7*(-2)}{3*(-2)}=...=\frac{7*8}{3*8}=...=\frac{7*1256}{3*1256}...etc[/tex]
what is the answer
Answer:
the answer would be 256 cm squared (the third option)
Step-by-step explanation:
what is the fraction, 64/388 simplified?
Answer:
the answer is 16/97
If you spend $448.37 on a car each month, what is your new subtotal of take-home pay after expenses?
Answer:
$629.75
Step-by-step explanation:
2,939.12 (Monthly net pay) - 1379 (Mortgage) - 302 (Food) - 448.37 (Car) - 230 (Gas) = 629.75 (Subtotal)
I am thinking of two unique whole numbers
Their sum is 12
The larger number is even
Twice the smaller number less than the larger number equals 6
Answer:
10 and 2
Step-by-step explanation:
10+2=12
10 is even
2*2=4 10-4+6
Hope this helps ! :)
how do I do this math question? Full working/explanation.
Answer:
50g sugar, 100g butter and 400g flour
Step-by-step explanation:
You need to find the ingredient that is the limiting factor, in this case it is flour, because you relatively need the most of that.
If all 400g flour is used, you need 4 times less grams of butter, since the ratio between butter and flour is 2 : 8 and they differ by a factor of 4.
That gets you 400/4 = 100g butter, so in fact you're not using 200g of the remaining butter.
Likewise, you'll need 400 / 8 grams of sugar, which is only 50g.
So at least one of the ingredients you'll completely use, the other ones you need less according to the ratio.
AEFG - ALMN. Find LM.
Answer:
The solution is 2.5. The problem can be solved using the proportion:
2
4
=
x
5
Step-by-step explanation:
I hope it makes since =)
helpppppppppppppppppppppppppp again 2
Answer:
500
Step-by-step explanation:
The median is the middle point of the box
Answer:
500
Step-by-step explanation:
The median is the point in the middle of the box.
what is two-thirds of 3 and3/4
Answer:
2.5
Step-by-step explanation:
2/3 *(3+3/4)=2.5
Answer:
[tex]\frac{5}{2}[/tex] or [tex]2\frac{1}{2}[/tex] or 2.5
Step-by-step explanation:
[tex]\frac{2}{3}*3\frac{3}{4}[/tex]
Convert [tex]3\frac{3}{4}[/tex] to an improper fraction. You can do this by multiplying the whole number by the denominator and add the numerator; all of this over the same denominator.
[tex]3\frac{3}{4}=\frac{3*4+3}{4} =\frac{12+3}{4} =\frac{15}{4}[/tex]
Now work it out.
[tex]\frac{2}{3}*\frac{15}{4}=\frac{30}{12}=\frac{15}{6}=\frac{5}{2}[/tex]
In case you need a mixed number as the answer, we can convert from improper fraction to mixed number.
5/2=2
4
----
1
the 2 after the equal sign is the big number, the 1 is the numerator and the 2 before the equal sign in the denominator.
[tex]2\frac{1}{2}[/tex]
Find the cosecant of angle t (written as a fraction)
Answer:~0.9998
Step-by-step explanation: cos T = side adj. to angle t / the hypotenuse
Cos t = 56/65 ~ 0.998
the weather report stated there is a 2/3 chance of rain Wednesday, but is more likely to rain on thursday than on Wednesday.
What is the probability of rain on Thursday?
Answer:
Any number over 66%, but less than (or equal to) 100%
Step-by-step explanation:
The probability of rain on wednesday is 66.6666% and if it is more likely to rain on thursday, thursday would have to be any number over 66.666%. The probability also has to stay below or equal to 100%.
can you please help me fill this out thanks
Answer:
i believe the perimeter is 36 im sorry if its not correct
Step-by-step explanation:
simple adding
what times 8 equals 2
2=x8
x=?
Please help! :0
Answer:
1/4 or .25
Step-by-step explanation:
8x =2
Divide by 8 on both sides
8x=2
__. ___
8. 8
x = 2/8=1/4 or .25
Answer: x equals 1/4 or 25% or 0.25
Solve for x : 2x−3 = 5
Answer:
x=4
Step-by-step explanation:
2x-3=5
Add 3 to both sides
2x=8
divide both sides by 2
x=4
[tex]2x - 3 = 5 [/tex]
[tex]2x = 5 + 3 [/tex]
[tex]2x = 8[/tex]
[tex]x = 8 \2( transposing known value to one side to get the value of x)[/tex]
[tex]x = 4(bringing it to lowest term)[/tex]
Which binomial is a factor of 9x2 – 64?
Answer:
Factor:
9x2 – 64
=(3x+8)(3x−8)
3x – 8
The base of a rectangular prism has an area of 12 square centimeters. The height of the rectangular prism is 3
centimeters.
What is the volume, in cubic centimeters, of this rectangular prism?
Answer:
36
Step-by-step explanation:
12x3=36
Lxwxh
Axh
Answer:
18,6,108
Step-by-step explanation:
edge2020
Give the sum of 1/2 and 8/12 in simplest form
Answer:
7/6
Step-by-step explanation:
sum of 1/2 & 8/12 = 1/2 + 8/12
= 7/6
hope this help you !! ;))))A restaurant manager wants to know which dish is most popular in his restaurant. Who should the manager survey to best find out what he wants to know? A. employees of the restaurant B. people who eat at his restaurant C. people who eat out at least once a week D. members of his family
Answer:
B. People who eat there are likely to return and suggest what is good on the menu to friends and relatives.
It’s delta math for it
Answer:
[tex]\sqrt{x^{2}-7[/tex]
Step-by-step explanation:
Negative exponents flip the fraction, fraction exponents imply a radical to the denominator's degree, so flip the fraction and take the square root of what is in parentheses
We know that :
[tex]\bigstar \ \ \boxed{\mathsf{a^{-1} = \dfrac{1}{a}}}[/tex]
[tex]\mathsf{Given \ question \ is : \dfrac{1}{(x^2 - 7)^{\frac{-1}{2}}}}[/tex]
Using the above formula, we can write it as :
[tex]\implies \mathsf{\dfrac{1}{\dfrac{1}{(x^2 - 7)^{\frac{1}{2}}}}}[/tex]
[tex]\implies \mathsf{(x^2 - 7)^{\frac{1}{2}}}[/tex]
[tex]\implies \mathsf{\sqrt{x^2 - 7}}[/tex]
Bruno is sewing a large rectangular tablecloth for a restaurant. He has 30 square feet of fabric and the length of the table cloth needs to be 7.5 feet. What is the width of the tablecloth if he uses all of the fabric?
Answer:
Step-by-step explanation:
4 ft
Answer:
Step-by-step explanation:
4 ft
brainliest pls i need it :,)
What’s the value of x?
Answer:
19
Step-by-step explanation:
In any triangle, the sum of the measures of the angles is 180 degrees.
(5x + 5) + (x + 16) + (2x + 7) = 180
Combine like terms.
8x + 28 = 180
8x = 152
x = 19
can you please help me fill this out thanks
Answer:
30 mm
Step-by-step explanation:
There are 4 sides to this parallelogram. Two of the sides have 3 mm as the length and the other two have 12 mm.
2 (3 mm) + 2 (12 mm)
= 6 mm + 24 mm
= 30 mm
Answer:
30
Step-by-step explanation:
Since the long side that is blank is the same length of 12 and the short side is the same length of 3.
12+12=24
3+3=6
24+6=30
The work of a student to solve 2(5y-2)=12+6y is shown below
Answer:y=4
Step-by-step explanation:
2(5y-2)=12+6y
10y-4=12+6y
4y-4=12
4y=16
y=4
evaluate the following function is f(x)=3x-2 and g(x)=5x+1 what is -2•f(4)+3•g(1)
Answer:
work is shown and pictured
What is the slope of the line?
Answer:
It is the change in y for a unit change in x along the line.
A cylindrical-shaped mug has a diameter of 8 centimeters and a height of 10 centimeters. What is the volume of the mug? Use 3.14 for pi. *
A. 1256 cubic centimeters
B. 502.4 cubic centimeters
C. 2512 cubic centimeters
D. 2009.6 cubic centimeters
Answer:
C. 2512
Step-by-step explanation:
First,you do
3.14 x 10 x 8
25 12 cubic centimeters
By using the formula for the volume of a cylinder, we will see that the volume of the mug is 502.4 cm^3
How to get the volume of the mug?For a cylinder of radius R and height H, the volume is:
V = pi*R^2*H
In this case, we know that H = 10cm, and the diameter is 8cm, then the radius is half of that:
R = 8cm/2 = 4cm
Replacing that in the volume equation we get:
V = 3.14*(4cm)^2*10cm = 502.4 cm^3
So the correct option is B.
If you want to learn more about volume, you can read:
https://brainly.com/question/1972490
