Answer 12.69
Step-by-step explanation:
Answer:
12.65 units
Step-by-step explanation:
The sum of an 84-number series is –7,980. What is the sum of the first and last numbers?
Answer:
- 190
Step-by-step explanation:
Since the sum of 84 number series is -7980. We have to find the sum of first and last numbers. Since sum of an arithmetic sequence is represented as. S =. (First + last) =. So the total of first and last term is (-190). Option B. -190 is the correct option.
Answer:
B) -190
Step-by-step explanation:
Trust
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
Will Mark brainiest!!!!
Answer:
1. 1.55π,
2. 16π,
3. 2.45π,
4. ( About ) 5.56π,
5. 13.7π
6. ( About ) 1.78π
Step-by-step explanation:
1. Let us keep the answer in terms of π, for the simplicity;
Area of Circle ⇒ π * r^2 = π * ( 3 )^2 = 9π,
Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,
62 / 360 = Area of sector / 9π,
62 * ( 9π ) = 360 * Area of sector,
558π = 360 * Area of sector,
Area of sector; 1.55π
2. Area of Circle ⇒ π * r^2 = π * ( 8 )^2 = 64π,
Area of sector ⇒ 1 / 4 * 64π = 16π,
Area of sector; 16π
3. Area of Circle ⇒ π * r^2 = π * ( 3 )^2 = 9π,
Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,
98 / 360 = Area of sector / 9π,
98 * ( 9π ) = 360 * Area of sector,
882π = 360 * Area of sector,
Area of sector; 2.45π
4. Area of Circle ⇒ π * r^2 = π * ( 4 )^2 = 16π,
Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,
125 / 360 = Area of sector / 16π,
125 * ( 16π ) = 360 * Area of sector,
2000π = 360 * Area of sector,
Area of sector; ( About ) 5.56π
5. Area of Circle ⇒ π * r^2 = π * ( 6 )^2 = 36π,
Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,
137 / 360 = Area of sector / 36π,
137 * ( 36π ) = 360 * Area of sector,
4932π = 360 * Area of sector,
Area of sector; 13.7π
6. Area of Circle ⇒ π * r^2 = π * ( 2 )^2 = 4π,
Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,
160 / 360 = Area of sector / 4π,
160 * ( 4π ) = 360 * Area of sector,
640π = 360 * Area of sector,
Area of sector; ( About ) 1.78π
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 :,)
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
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
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)
In a survey of students, 1162 stated they cheated and 2468 stated they did not. If one student is randomly selected what is the probability that they cheated
Answer:
[tex] n = 1162 +2468 =3630[/tex]
And the probability that they cheated and we can use the classical definition of probability given by:
[tex] p =\frac{successes}{Total}[/tex]
And replacing we got:
[tex] p=\frac{1162}{3630}= 0.320[/tex]
So then the probability of people cheated is 0.320 or 32% approximately
Step-by-step explanation:
For this problem we know that in a survey of students, 1162 stated they cheated and 2468 stated they did not.
The total of people is given by:
[tex] n = 1162 +2468 =3630[/tex]
And the probability that they cheated and we can use the classical definition of probability given by:
[tex] p =\frac{successes}{Total}[/tex]
And replacing we got:
[tex] p=\frac{1162}{3630}= 0.320[/tex]
So then the probability of people cheated is 0.320 or 32% approximately
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
The solutions of a quadratic equation are 5 and -1. What is the factored form of a related quadratic function?
Answer:
f(x)=(x+1)(x-5)
Step-by-step explanation:
The solutions to a quadratic equation are going to be your x-intercepts, or when y is equal to zero. For y to be zero, all you have to do is have one value equal to zero. When x is 5, (x-5) is equal to zero. When x is -1, (x+1) is equal to zero. This is one example of what your quadratic equation could be.
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 =)
Oblicz objętość graniastosłupa o wymiarach podanych na rysunku
Answer:
In the image attached you can observe that we have three prism, we need to find their volumes. Remember, the volume of any prism is the product between its base-area and its height.
(a)This is a trapezoidal prism, which is defined as
[tex]V_{a}=\frac{(B+b)h_{1} }{2} \times h_{2} \\ V_{a}=\frac{(12+9)4}{2} \times 16\\ V_{a}=42 \times 16 = 672 \ cm^{3}[/tex]
(b)This is a triangular prism, which is defined as
[tex]V_{b}=\frac{1}{2} b \times h_{1} \times h_{2}\\ V_{b}= \frac{1}{2} \times 36 \times 25 \times 53\\ V_{b}=23,850 \ cm^{3}[/tex]
(c)In this prism, 6 decimeters are equivalent to 60 centimeters. It's volume is defined as
[tex]V=\frac{1}{2} \times 48 \times 60 \times 80 = 115, 200 \ cm^{3}[/tex]
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
. A professora colocou em uma urna 25 bolinhas vermelhas, 15 bolinhas azuis e 10 bolinhas amarelas, todas do mesmo tamanho. Ela solicita a um aluno que retire uma bolinha sem olhar. Qual a probabilidade do aluno retirar uma bolinha azul? * 10 pontos (a) 25/50 (b) 15/50 (c) 10/50 (d) 45/50
Answer:
(b) 15/50
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
There are 25+15+10 = 50 small balls.
Of those, 15 are blue.
Probability of taking a blue ball:
15/50
This means that (b) is the correct answer.
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:
Round cake has a diameter of 30 cm . Angela places the cake on a circular cake board with a diameter 5 cm longer than that of the cake . What's the circumference
Answer:
circumference of the cake board = 109.9 cm
Step-by-step explanation:
diameter of cake = 30cm
diameter of cake board = 5cm longer than 30cm = 5 + 30 = 35cm
radius cake board = diameter ÷ 2 = 35 ÷ 2 = 17.5 cm
radius of cake board = 17.5 cm
circumference of a circle = 2 × π × r (where π = 3.14)
circumference of a circle = 2 × 3.14 × 17.5 = 109.9 cm
Therefore the circumference of the cake board = 109.9 cm
Answer:
35pi
Step-by-step explanation:
brainliest maybe?
Allie. Bentie and Charlie share £46.
The amount Alfie and Bertie get is in the ratio 9:5
The amount Bertie and Charlie get is in the ratio 2:1
How much does Alfie get?
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]
Which number line shows the solutions to n<-3
Answer:
[In Picture]
Step-by-step explanation:
There are no given options.
However, I am able to recreate the best answer for the question given.
There would be arrow going to the left from -3. The arrow will include all numbers less than -3.
Since there is a less than sign, the circle at the beginning of the arrow is open.
Choose the option that closely matches the line shown.
The number line is the representation of numbers in real order.
The difference between the consecutive numbers in a number line is always positive.
The number line of n < - 3 is n less than -3.
The graph of the number line is given below.
What is a number line?It is the representation of numbers in real order.
The difference between the consecutive numbers in a number line is always positive.
We have,
n < - 3
This is read as,
n is less than -3.
The graph of the number line is given below.
Thus,
The number line of n < - 3 is n less than -3.
The graph of the number line is given below.
Learn more about number line here:
https://brainly.com/question/13425491
#SPJ5
Suppose that in 8 minutes,40 gallons of water came out of a pipe. What was the rate in gallons per minute?
Answer:
5 galon por min uto
Step-by-step explanation:
What would be the volume of this solid if the height were halved and the other dimensions were reduced proportionally? Round to the nearest whole number.
The image?is of a?parallelogram prism standing on its face and making an angle of 60 degrees with horizontal. The dimension of prism is 3 cm by 4cm by 10 cm.
Calculate:
400 x 3235 =
You must show full working out.
Answer:
1294000
Step-by-step explanation:
There are two ways to do this: The short way and the long way:
Help me please !!!!!
Answer:
C =119.32
A =1133.54
Step-by-step explanation:
UR is the radius = 19
Let pi = 3.14
The circumference is
C = 2*pi*r
C = 2 * 3.14 * 19
C =119.32
The area is given by
A = pi r^2
A = 3.14 * (19)^2
A =1133.54
The sum of a number and 12, divided by 4, is -7
Answer:
-40
Step-by-step explanation:
Work backwards
4 * -7 = -28
-28 - 12 = -40
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
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
Would this be -4? Just wanna confirm!
Answer:
Yes
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
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 ! :)
Which binomial is a factor of 9x2 – 64?
Answer:
Factor:
9x2 – 64
=(3x+8)(3x−8)
3x – 8
HELP ASAP DUE NOW GIVEIN BRAINLIST
The student did not properly distribute the 4 to all terms in the parenthesis:
-8n + 4(1 + 5n) = -6n - 14
First, distribute 4 to ALL terms in the parenthesis:
-8n + 4 + 20n = -6n - 14
Next, isolate the variable, n. Add 6n and subtract 4 from both sides:
-8n + 20n (+6n) + 4 (-4) = -6n (+6n) - 14 (-4)
-8n + 20n + 6n = -14 - 4
Simplify. Combine like terms:
(-8n + 20n) + 6n = -18
12n + 6n = -18
18n = -18
Isolate the variable, n. Divide 18 from both sides:
(18n)/18 = (-18)/18
n = (-18)/18
n = -1
n = -1 is your answer.
~
Answer:
-According to the student's work shown, The student needs to distribute 1 and 5[tex]n[/tex] by 4. So, the mistake was that the student did not distributed the 1 and 5[tex]n[/tex], in which the student only distributed the 1.
-The equation: [tex]8n + 4(1+5n)=-6n-14[/tex]
-Distributed Incorrectly:
[tex]8n + 4+5n=-6n-14[/tex] (only distributed the 1 by the 4)
-Distributed Correctly:
[tex]8n + 4+20n=-6n-14[/tex] (distributed both 1 and 5[tex]n[/tex] by the 4)
-The correct calculation:
[tex]8n + 4(1+5n)=-6n-14[/tex]
[tex]8n + 4+20n=-6n-14[/tex]
[tex]12n+4 = -6n -14[/tex]
[tex]12n + 4+ 6n=-6n+6n-14[/tex]
[tex]18n +4 = -14[/tex]
[tex]18n +4 -4 = -14 -4[/tex]
[tex]18n = -18[/tex]
[tex]\frac{18n}{18}= \frac{-18}{18}[/tex]
[tex]n = -1[/tex]
The correct answer is [tex]n = -1[/tex] .