Answer:
16k^2 + 62k + 21
Step-by-step explanation:
We can distribute:
(8k + 3)(2k + 7)
(8k)(2k) + (8k)7 + 3(2k) + 3(7)
Now, we can simplify:
16k^2 + 56k + 6k + 21
16k^2 + 62k + 21
Help with my mathhhhh
Answer:
See the image below for the answer:)
Step-by-step explanation:
A research center project involved a survey of 846 internet users. It provided a variety of statistics on internet users. (a) The sample survey showed that 94% of respondents said the internet has been a good thing for them personally. Develop a 95% confidence interval for the proportion of respondents who say the internet has been a good thing for them personally. (Round your answers to four decimal places.) 0.9239 Incorrect: Your answer is incorrect. to 0.9561 Incorrect: Your answer is incorrect. (b) The sample survey showed that 67% of internet users said the internet has generally strengthened their relationship with family and friends. Develop a 95% confidence interval for the proportion of respondents who say the internet has strengthened their relationship with family and friends. (Round your answers to four decimal places.) 0.6385 Incorrect: Your answer is incorrect. to 0.7015 Incorrect: Your answer is incorrect.
Answer:
(a) (0.9240, 0.956)
(b) (0.6383, 0.7017)
Step-by-step explanation:
The number of internet users involved in the survey, n = 846
The percentage of the respondents that said the internet has been good thing for them personally, [tex]\hat p[/tex] = 94%
(a) The confidence interval of a percentage is given as follows;
[tex]CI=\hat{p}\pm z\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]
The z-value for 95% confidence interval = 1.96
We get;
[tex]CI=0.94\pm 1.96\times \sqrt{\dfrac{0.94 \times (1-0.94)}{846}} \approx 0.94 \pm 1.6003 \times 10^{-2}[/tex]
CI = 0.9240 ≤ [tex]\hat p[/tex] ≤ 0.956 = (0.9240, 0.956)
(b) The percentage of the internet users that said the internet has directly strengthened their relationship with their families, [tex]\hat p[/tex] = 67% = 0.67
The 95% confidence interval is therefore;
[tex]CI=0.67\pm 1.96\times \sqrt{\dfrac{0.67 \times (1-0.67)}{846}} \approx 0.67 \pm 3.1686\times 10^{-2}[/tex]
From which we have;
CI = 0.6383 ≤ [tex]\hat p[/tex] ≤ 0.7017 = (0.6383, 0.7017)
Simplify the expression: 16x - (3x + 9) + 17
Step-by-step explanation:
16x -(3x + 9) + 17
16x -3x -9 +17
13x + 8
new community center. How I Find the prime factorization of the number 24
Answer:
2*2*2*3
or
2^3 * 3
Step-by-step explanation:
24 = 4*6
But 4 and 6 aren't prime
24 = 4*6 = (2*2) * (2*3)
All these numbers are prime
24 = 2*2*2*3 or with exponents = 2^3 * 3
Explain how to check if two or more ratios are a proportion
Answer:
¿Cómo comprobar que las razones son proporcionales? ,5
Step-by-step explanation:
Para comprobar si dos o más razones son proporcionales se aplica la propiedad fundamental de las proporciones. 1 * 4 = 1 2 2 4 4 = 4 1 2 3 6 1 * 6 = 6 = 6 = = ? ? 1 2 0,5 1 = Así se concluye que las tres razones son proporcionales. 1 * 1 = 1 = 1 1ra forma. 2 * 2 2 * 3 ? 2 * 0,5
helppppppp pleaseeee f/4 - 5 = -9
Answer:
Step-by-step explanation:
f/4-5=-9
f-4*5/4=-9
f-20/4=-9
f-20=-9*4
f-20=-36
f=-36+20
f=-16
Answer:
f/4 - 5 = -9
f-20/4=-9
f-20=-9×4
f-20=-36
f=-36+20
f=-16
its a very simple question... wanna get brainliest. if so answer this ..
Did I colored the parts correct ... should the denominator be 4 instead of 2..???
Can someone help me solve question 2 and 3?
Answer:
Question 2 = 15 drinks
Question 3 = 7/12
Step-by-step explanation:
Question 2:
For every drink, there are three sizes
Ratio = 1:3
There are 5 flavors
Multiply each side by 5
5:15
15 drinks
Question 3:
5 red, 6 yellow, 8 blue, 3 orange, 2 purple
Possible outcomes = 5 + 6 + 8 + 3 + 2 = 24 possible outcomes
Favourable outcomes = 6 + 8 = 14 favourable outcomes
Fraction = 14/24 = 7/12
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Evaluate.
(-5)3 =
this is needed fast pls
Answer:
The answer is -15
Step-by-step explanation:
(-5)3 is the same as -5 × 3
Answer:
The answer is -15-5 x 3 = -15
What is x? Please help quickly!
Answer:
27 1/3
Step-by-step explanation:
Since both angles form a straight line of 180, you can set your formula up as
180=4x+2x+16
180-16=6x
164=6x
164/6=x
Graded Assignment
Unit Test, Part 2: Expressions and Problem Solving
Answer the questions below. When you are finished, submit this assignment to your teacher by the due date for full credit.
Total score: ____ of 15 points
(Score for Question 1: ___ of 6 points)
1. Emmanuel bought 28 lb of potting soil this week. This amount is 4 lb more than twice the amount of potting soil he bought last week. Answer the following questions to find the number of pounds of soil Emmanuel purchased last week.
(a) What is the unknown information?
(b) Let p represent the unknown information. Write an equation to model the problem.
(c) Which number, 10, 11, or 12, will solve the equation in Part (b)? Show your work.
(d) How many pounds of potting soil did Emmanuel buy last week?
Answer:
plz help me I beg you
Answer:
1.) Amount of potting soil purchased last week.
2) 2p + 4 = 28
3.) 12 lbs
Step-by-step explanation:
1.) The unknown information is what we intend to find out using the information given, which is the amount of potting soil Emmanuel bought last week.
2.)
Let amount of potting soil bought last week = p
Amount bought this week = 2p + 4
Since amount bought this week = 28
Hence, we have ;
28 = 2p + 4
28 - 4 = 2p
24 = 2p
p = 24 / 2
p = 12
Can i have some help please best answer gets brainiest!
Answer:
a=35
Step-by-step explanation:
5x35=175, and 175 divided by 7 is 25 :)
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: a = 35}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \: \frac{5a}{7} = 25[/tex]
➺[tex] \: 5a \: = 25 \times 7[/tex]
➺[tex] \: 5a = 175[/tex]
➺[tex] \: a = \frac{175}{5} [/tex]
➺[tex] \: a = 35[/tex]
[tex]\sf \bf {\boxed {\mathbb {To\:verify:}}}[/tex]
[tex] \: \frac{5a}{7} = 25[/tex]
➺[tex] \: \frac{5 \times 35}{7} = 25[/tex]
➺[tex] \: \frac{175}{7} = 25[/tex]
➺[tex] \: 25 = 25[/tex]
➺[tex] \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Andrew is two years older than Beatrice, and Chris is three years younger than Beatrice. The product of Andrew's age and Chris' age is 66. How old is Beatrice?
Answer:
9
Step-by-step explanation:
A = B + 2
C = B - 3
A x C = 66
A = Andrew
C = Chris
B = Beatrice
Multiply A and c together
(B + 2) x (b - 3)
b^2 - 3b + 2b - 6
b^2 -b - 6 = 66
b^2 - b - 72 = 0
factors of -72b^2 that add up to - b are -9b + 8b
b^2 + 8b -9b - 72
b (b + 8) -9(b + 8)
b = 9 or - 8
b = 9
what is the algebraic expression for 11 times a number x, minus a second number y ?
Answer:1
Step-by-step explanation:
twice a number minus a second number is -1. Twice the second number added to three times the first number is 9. find the two numbers. System of Equations is how we are supposed to solve this word problem.
One of two complementary angles is 35° larger than the other. What is the measure of both angles?
Answer:
Since the two angles are complementary, they add up to 90...
If we call the first one x, then the other must be 90-x...
Since they are 35 different, we write
x = (90 - x) + 35
now solve, and get
x = 90 - x + 35
x = -x + 125
2x = 125
x = 62.5 deg
the other must be
90 - 62.5 = 27.5 deg
A square that has a side measurement of 7 inches has an area of: *
14 inches
49 inches
49 square inches
7 square inches
Answer:
49 square inches
Step-by-step explanation:
area of a square = l * l
a = 7 * 7
a = 49 square inches
can someone pls pls help me?
Answer:
T=2.25
Step-by-step explanation:
To find the area of a triangle, you do the length times height, times two. Therefor T=2.25 (36/8, then you get 4.5, divide that by 2, get 2.25, 2.25x8x2=36.)
whats the awnser I need it asap
A contractor needs to buy nails to build a house. The nails come in small boxes and large boxes. Each small box has 100 nails and each large box has 350 nails. The contractor bought a total of 9 boxes that have 2400 nails altogether. Write a system of equations that could be used to determine the number of small boxes purchased and the number of large boxes purchased. Define the variables that you use to write the system.
Answer:The system 150x+400y=1950 and x = y+2 could be used to determine the number of small boxes and large boxes ordered where x represents the number of small boxes and y represent the number of large boxes.
Step-by-step explanation:
Answer:
Let s = the number of small boxes purchased
Let l = the number of large boxes purchased
100s + 350l= 2400
s+l= 9
Part A
Select all true statements about rectangles.
A rectangle always has:
0
A
4 sides
В.
4 angles
C. all sides equal in length
D. all right angles
E opposites sides parallel
Part B
Answer:
A rectangle always has... 4 sides, 4 angles, all right angles, and opposite sides parallel
Answer:
A, B, D, E
Step-by-step explanation:
A 4 sides
В. 4 angles
D. all right angles
E opposites sides parallel
In the diagram, the measure of angle 6 is 989
1/2
43
516
817
What is the measure of angle 7?
Answer:
82 degrees is the answer
Step-by-step explanation:
angle 6 and 7 are adjacent angles and adjacent angles add up to 180 deg. thus
angle 7 = 180 - 98 = 82 deg
The measure of ∠6 and ∠7 are on a straight line. This means there sum is equals to 180 degrees. Therefore, the measure of ∠7 is 82 degrees.
What is the sum of angle on a straight line?The sum of angle on a straight line is 180 degrees. This simply means the total angle on a straight line is 180 degrees.
∠6 = 98 degrees
Therefore,
∠6 + ∠7 = 180°(angles on a straight line)
∠6 = 98 degrees
Hence,
98 + ∠7 = 180
subtract 98 from both sides
98 - 98 + ∠7 = 180 - 98
∠7 = 82 degrees.
learn more on angle on a straight line here: https://brainly.com/question/16025966
A bag contains five blue marbles, five red marbles, five white marbles, and five black marbles. You draw a marble from the bag, and then draw another marble from the bag.
Do you have a greater probability of drawing two blue marbles if you replace the first marble after you draw it or if you don't replace the marble?
Your answer should include both the mathematical proof and a written statement.
Answer:
If you replace the first marble, you have a higher chance of picking two blue marbles. Mathematical proof and written statement is shown below.
Step-by-step explanation:
Mathematical Proof :
For proof, we should test it out.
To find the total amount of marbles, we add up all the different colors in the bag.
5 + 5 + 5 + 5 = 20
Drawing 2 blue marbles while replacing the first probability :
The probability of drawing a blue marble at first is 5/20. If you then replace this marble, the probability doesn't change, it's still 5/20. To get the probability of getting two blue marbles and not replacing we multiply :
5/20 * 5/20 = 25/400 = 1/16
Drawing 2 blue marbles while NOT replacing the first probability :
The probability of first choosing a blue marble is 5/20, but you don't replace it, so now the probability of choosing a blue marble is 4/19, since one blue marble was taken. To find the probability of drawing two blue marbles but not replacing the first one we are going to have to multiply 5/20 * 4/19. That's 1/19.
So the probability of getting two blue marbles and replacing the first is 1/16, and the probability of getting two blue marbles and not replacing the first is 1/19. Well, which is greater? 1/16 is greater. If you replace the first marble, you have a higher chance of picking two blue marbles.
Written Statement :
If you replace the first marble you have a higher chance of getting two blue because you are increasing the number of blue marbles in the 20 total marbles. Now there is a greater number of blue marbles there is a greater chance you will pick blue.
Find the volume of a rectangular prism with length 7 feet,width 6 feet, and height 4 feet.
Answer:
V=168ft³
Step-by-step explanation:
V=
w-6
h-4
l-7
V = 168ft³
PLS HELP!! WILL GIVE BRAINLIEST!!
Answer:
Step-by-step explanation:
Find the y-intercept the line on the graph. Plz I need the credit
Answer:
4
Step-by-step explanation:
The y intercept is where it crosses the y axis
It crosses the y axis at y = 4
Evaluate the expression (ab)^2for a = 4 and b = 3.
Answer:
144
Step-by-step explanation:
Plug in a and b
In this case a=4, b=3
(ab)^2
( (4)(3) )^2
(12)^2
12x12
144
If this helps please mark as brainliest
Answer:
144
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
(ab)²
a = 4
b = 3
Step 2: Evaluate
Substitute in variables: [4(3)]²[Brackets] Multiply: 12²Exponents: 144Write the equation of the parabola in vertex form.
Answer: Hi! The answer is, y=-(x-2)^2
Step-by-step explanation:(The explanation is in the image below) I hope that this helps you!
Allison makes necklaces.
After buying supplies, she
has a profit of -$150. She
sells 6 necklaces for $23
each. What is her profit
now?
Answer:
288$
Step-by-step explanation:
6 · 23 = 138$
138$ + 150$ = 288$
Which of the following graphs represents a function? Graph a or b
Answer:
graph b represents a function.
Answer:
graph b
Step-by-step explanation:
Lawrence makes tomato cages out of wire. He has 48 1/3 yards of wire and uses 6 3/4 yards on each tomato cage. How many tomato cages can Lawrence make with the wire he has?
A. 6
B. 7
C. 8
D. 9
