Answer:
5.2z
Step-by-step explanation:
When you are adding any variables of the same power, like we have in this problem, you can just add any co-efficients.
3.1 + 2.1 = 5.2
So 3.1z + 2.1z = 5.2z
If Shannon wants to fill a spherical balloon so that it has a circumference of 8π in, how much air will she need to use to fill the balloon?
The Volume of air needed for a spherical balloon of radius 4 inch and circumference 8π is 85.3 cubic inch
Volume of SphereGiven Data
Circumference = 8πLet us find radius
circumference = 2πr
8π = 2πr
8 = 2r
r = 8/2
r = 4 inch
Let us find the volume of the sphere
Volume = 4/3πr^3
Volume = 4/3* π*4^3
Volume = 4/3*π64
Volume = 256π/3
Volume = 85.3 cubic inch
Learn more about volume of sphere here:
https://brainly.com/question/22807400
A circle is drawn to represent a pizza with a 12
inch diameter. The circle is cut into eight
congruent pieces. What is the length of the outer
edge of any one piece of this circle?
Answer:
Step-by-step explanation:
diameter/2 = radius
12/2 = radius
radius = 6
The outer edge means you are measuring the circumference of the pizza.
Circumference = 2(pi)(radius)
Circumference = 2(pi)(6)
You are only finding 1/8 of the circumference
Therefore you are multiplying the circumference by 1/8
Length of 1 slice = (1/8)((2)(pi)(6)) = (12/8)(pi) = (3/2)(pi) = (3(pi)) / (2) or 4.71 inches
The length of the outer edge of any one piece of this circle will be 4.71 inches.
What is the arc length of the sector?Let r is the radius of the sector and θ be the angle subtends by the sector at the center. Then the arc length of the sector of the circle will be
Arc = (θ/360°) 2πr
A circle is drawn to represent a pizza with a 12-inch diameter. The circle is cut into eight congruent pieces. Then the central angle of each sector will be given as,
θ = 360° / 8
θ = 45°
And the radius is given as,
r = 12/2
r = 6 inches
Then the length of the outer edge of any one piece of this circle will be
Arc = (θ/360°) 2πr
Arc = (45/360°) 2π x 6
Arc = 1/4 x 3.14 x 6
Arc = 4.71 inches
The length of the outer edge of any one piece of this circle will be 4.71 inches.
More about the arc length of the sector link is given below.
https://brainly.com/question/15955580
#SPJ2
Please Help!!
Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if needed.
Answer:
cosZ = [tex]\frac{12}{37}[/tex]
Step-by-step explanation:
cosZ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{YZ}{XZ}[/tex] = [tex]\frac{12}{37}[/tex]
A spinner is divided into 5 sections of equal area, with numbers 1, 3, 5, 7, and 9 in it. What is the probability of the spinner landing on 7?
Step-by-step explanation:
You can only get 5 numbers which are : 1, 3, 5, 7, 9.
There is only one occurrence of the number 7. To get the probability of the spinner landing on 7 is given by the occurence of a certain object (7 in this case) divide by the total number of objects.
Answer:
1/5(1 over 5)
Step-by-step explanation:
out of the 5 numbers
u can land on 7 one time
can someone help me please
Answer:
3.A
4.D
Step-by-step explanation:
in 3, A is correct because it follows the rule in the picture attached. In question 4 D is not appropriate because log base 9 to the power 9 is equal to 1, but log base 9 to the power 4 + log base 9 to the power 5 is not 1
Aaron makes $45 dollars per day delivering newspapers. He earns 0.75 for each newspaper he delivers. How many newspaper, n, must he deliver in one day to make at least $60
Answer:
20 newspapers
Step-by-step explanation:
First create an equation.
y = 0.75x + 45
Now substitute 60 y and solve for x.
60 = 0.75x + 45
60 - 45 = 0.75x + 45 - 45
15/0.75 = 0.75x/0.75
x = 20 newspapers
What is the equation of the line parallel to the line with equation y=2/3x +1 and passing through the point (6,-2)?
Step-by-step explanation:
y= (-2/3) x-6 is parallel to y= (-2/3)x +4 goes through the point (3,-8)
Angle Terminology with Equations
(Please Full Explanation)
Delta Math:
Supplementary angles are angles that sum up to 180 degrees
∠A and ∠B are supplementary angles
∠A + ∠B = 180°2(x) - 24 + 5(x) - 27° = 180°7(x) -51° = 180°7(x) = 180° + 51°7(x) = 231°x = 33°Find ∠B
5(x) - 27°5(33) - 27°165° - 27138°Therefore ∠B is 138 degrees
Answer:
∠B = 138
Step-by-step explanation:
Suplementary means = 180 soooo
180=(2x-24)+(5x-27)
180=7x-51
231=7x
x=33
B=5x-27
5(33)-27= 138
the mean age of the teachers on a school safety committee is 33.4 years. a 16-year old student representative joins the committee. which sentence is true?
a. the new mean age is greater than 33.4 years.
b. the new mean age is less than 33.4 years.
c. the new mean age is 27.4 years.
d. the mean age is still 33.4 years.
Answer:
b. The new maen age is less than 33.4 years.
put the decimal point in the correct places to get the difference 323 - 362 = 28.68
The correct location is between the two and three for the first digit and the three and six for the second number.
Help
If my final answer to a question is 207 cubic feet (or 207 feet cubed), what am I measuring?
Height
Length
Area
Volume
Answer:
you would be measuring the volume
Step-by-step explanation:
because of the cubic feet keyword.
plus the question states that there is no height , length.
What is the value of the rational expression when x = 2?
Answer:
4
Step-by-step explanation: If this regarding the splitting of two polynomials put through the pyth theorem.
Helppppppp pls :))))))))
Answer:
g(x) = x^2 - 7
Step-by-step explanation:
Write 4.58 correct to 1 decimal place.
-
What is the vertex of f(x) = 5x^2 + 20x – 16?
Answer:
(-2, -36)
Step-by-step explanation:
This is written in Standard Form
[tex]f(x)=5x^{2} +20x-16[/tex]
[tex]ax^{2} +bx+c[/tex]
Convert to vertex form.
[tex]f(x)=a(x-h)^{2}+k[/tex]
[tex]f(x)=5(x+2)^{2}-36[/tex]
Graph the solution to this inequality on the number line.
12x−3<−138
Answer:
Step-by-step explanation:
1. Solve
12x-3+3<-138+3 <=== Add three to both sides to simplify the inequality
12x÷12<-135÷12 <=== divide by 12 on both sides so we can find what x is so that we can graph the inequality
x<-11.25 <=== negative divided by positive is always negative
2. Graph
1) you find -11.25 on the number line
2) you put an ray with an empty/hollow circle facing towards the negative side
please help giving 20 points
Answer: 13
Step-by-step explanation:
We will use the order of operations to solve.
Given:
20 ÷ (5 * [tex]\frac{2}{5}[/tex]) + 3
Multiply:
20 ÷ ([tex]\frac{10}{5}[/tex]) + 3
Divide:
(20 * [tex]\frac{5}{10}[/tex]) + 3
[tex]\frac{100}{10}[/tex]
Add:
10 + 3
13
What is 3/8÷(−5/12)?
A.) −32/5
B.) −9/10
C.) −10/9
D.) −5/32
Answer:
B
Step-by-step explanation:
number of solutions of quadratic equations
Answer:
Discriminant = 120
Number of x intercepts = 2
=========================================================
Explanation:
The equation is of the form ax^2+bx+c with:
a = -7
b = 8
c = 2
The discriminant is
d = b^2 - 4ac
d = 8^2 - 4(-7)(2)
d = 64 + 56
d = 120
The discriminant is positive, meaning there are 2 different x intercepts.
If d = 0, then we'd have only one x intercept.
If d < 0, then there wouldn't be any x intercepts.
If f(x) = (x³ + 25), find the inverse of f.
Answer:
y = ∛x - 25
Step-by-step explanation:
To find the inverse function, swap x and y , and solve the resulting equation for x.
If the initial function is not one-to-one, than there will be more than one inverse.
So, swap the variables: y = x³ + 25 becomes x = y³ + 25
Now solve the equation, x = y³ + 25 for y.
y = ∛x - 25
which is an algebraic expression for the product of 10 and a
the product of 10 and a
10 × a = (product)
A hiker travels 6 mph, which is 3/11 the rate of a cyclist. Suppose the cyclist is following behind the hiker. How fast does the distance between them decrease?
How fast the distance between them decrease is 16mph
How to calculate the speed of an object?Given the following parameters
Speed of the hiker = 6mph
If is it 3/11 the rate of a cyclist, then the rate of the cyclist will be:
6 = 3x/11
3x = 66
x = 22mph
Distance between them = 22 - 6
Distance between them = 16mph
Hence how fast the distance between them decreases is 16mph
Learn more on speed here: https://brainly.com/question/4931057
Answer: 28 mph
Step-by-step explanation:
Consider the quadratic equation x2+7x+8=0. Which of the following is the correct form after substituting a, b, and c into the Quadratic Formula?
x=7 ±(7)2−4(1)(8)√2(1)
x=(7)2−4(1)(8)√2(1)
x=−7 ±(7)2−(1)(8)√2(1)
x=−7 ±(7)2−4(1)(8)√2(1)
Answer:
x=−7 ±(7)2−4(1)(8)√2(1)
Step-by-step explanation:
I risked it all and got it right
44 is the sum of 14 and Rick's savings.
Find two consecutive whole numbers that
124 lies between.
Answer: 123 and 125.
Step-by-step explanation:
Use the distributive property to simplify 3(4x+8).
a) 7x + 8
b) 7x + 24
c) 12x + 8
d) 12x + 24
Answer:
d) 12x + 24.
Step-by-step explanation:
3(4x+8)
= 3*4x + 3*8
= 12x + 24.
The Distributive Property states the following:-
[tex]\bigstar{\boxed{a(b+c)=ab+ac}}[/tex]
So we distribute a by multiplying it times b & c.
Now, let's simplify the given expression:-
[tex]\bigstar{\boxed{3(4x+8)=12x+24}}[/tex]
Hence, Option D) is correct!
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
What is the volume of this figure?
Enter your answer in the box.
Answer: 2080
Step-by-step explanation: formula for volume of trapezoid prism is bh. 10 times 19 is 190. formula for rectangular prism is lwh. 7 times 30 times 9 is 1890. add 190 and 1890 for both of their volumes.
which angles are congruent in the isosceles triangle
Please help with my homework. I will give a brainlist out. Only solve 27 please.
Answer: 5 ft
Step-by-step explanation: A = bh h = A/b 85/17 = 5
In situations where the employer and employee split the expense of a cell phone, should the employer be permitted to inspect the text messages?
Yes
No
Explain why you voted the way you did.
Answer:
Yes, because the employer purchased half the price of the cell phone. They can read the messages on their property.
Step-by-step explanation:
