Answer:
See below
Step-by-step explanation:
Given function
f(x)=x³ + 3x²- 7x - 21We can find its factors:
x³ + 3x² - 7x - 21 =x²(x + 3) - 7(x + 3) =(x² - 7)(x + 3)We can conclude that the given polynomial function is fully divisible by (x + 3) and the quotient is (x² - 7)
Also one of zeros of the function is -3
Wilma is tiling her bathroom with tiles that measure 1 foot along each side. The bathroom is 15 feet long and 10 feet wide. She can lay 30 tiles per hour. Which of the following can be used to find the total number of hours it will take Wilma to cover the floor with tiles?
Answer:
(15 * 10) / 30 = x
Step-by-step explanation:
Since each tile is 1 foot on each side this means that each tile will cover 1 square foot (1ft * 1ft = 1sq. ft.). We would now need to find the square footage of the bathroom by multiplying the bathroom length by its width. Then we can divide that square footage by 30 tiles per hour to find out how long it will take to cover the floor with tiles.
(15 * 10) / 30 = x
150 / 30 = x
5 hours = x
Finally, we can see that at a pace of 30 tiles per hour, Wilma will be able to finish tiling her bathroom in 5 hours.
All 27 students in Joe’s class bought the same items. The expression below shows the total spent by ALL 27 students:
27(2p + 4e + 10p + 20)
a) What property can be used to simplify the expression:
______________________________________________________________________
______________________________________________________________________
b) Simplify the expression:
Answer:
I will give you the explanation, figure out the answer.
Step-by-step explanation:
For this expression, you need to distribute 27 into the expression inside the parantheses.
Distributing will look like this:
(27 x 2p) + (27 x 4e) + (27 x 10p) + (27 x 20)
Now to get the simplified version of this expression, you just need to multiply and combine like terms!
Consider the experiment of rolling two standard (six-sided) dice and taking their sum. Assume that each die lands on each of its faces equally often. We consider the outcomes of this experiment to be the ordered pairs of numbers on the dice, and the events of interest to be the different sums. (a) How many outcomes does this experiment have
Answer:
36
Step-by-step explanation:
Given that:
2 standard six sided dice are rolled :
Die 1 = 1, 2, 3, 4, 5, 6
Die 2 = 1, 2, 3, 4, 5, 6
Outcome = ordered pair of Number on the two dice
Event = different sum of the ordered pair of numbers.
The number of outcomes in the experiment = the sample space =) number of Faces)^number of dies
= 6^2
= 36 different outcomes
Maryse bought a jacket from the store for $90.95. Shepaid a 7% sales tax when she bought the jacket. How Much was the jacket before the sales tax?
In a random sample of 400 items where 82 were found to be defective, the null hypothesis that 20% of the items in the population are defective produced ZSTAT=+0.25. Suppose someone is testing the null hypothesis H0: π=0.20 against the two-tail alternative hypothesis H1: π≠0.20 and they choose the level of significance α=0.01. What is their statistical decision? What is the statistical decision? Determine the p-value. The p-value for the given ZSTAT is p-value=nothing. (Type an integer or a decimal. Round to three decimal places as needed.)
Answer:
Z - statistic = 0.25
P-value
P(Z=0.25) = 0.802587
The result is not significant at p<0.01
Step-by-step explanation:
Step(i):-
Given the random sample size 'n'' = 400
A random sample of 400 items where 82 were found to be defective
Sample proportion
[tex]p = \frac{x}{n} = \frac{82}{400} = 0.205[/tex]
Given Population proportion
P = 0.20
Null Hypothesis : P = 0.20
Alternative Hypothesis : P≠ 0.20
Step(ii):-
Test statistic
[tex]Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }[/tex]
[tex]Z = \frac{0.205-0.20}{\sqrt{\frac{0.20X0.80}{400} } }= \frac{0.005}{0.02} =0.25[/tex]
Z - statistic = 0.25
Level of significance =0.01
P-value
P(Z=0.25) = 0.802587
Conclusion:-
The result is not significant at p<0.01
A rectangle has an area of 24 square centimeters. If the length and width of the rectangle are multiplied by 5, what is the area of the new rectangle?
Answer:
it will be 5 x 5 bigger... or 25 times bigger than 24 or 600 [tex]cm^{2}[/tex]
Step-by-step explanation:
The required area of new rectangle is 600 square meters.
What is rectangle?A rectangle is a part of a quadrilateral, whose sides are parallel to each other and equal.
Let the length of the rectangle = x cm,
And width of rectangle = y cm.
Given that,
The area of rectangle is 24 square centimeters.
The area of rectangle = length × width
xy = 24 (1)
When length and width are multiplied by 5,
The length becomes 5x and width becomes 5y,
The area of new rectangle = 5x × 5y
= 25 xy
Substitute the values of xy from equation (1),
Area = 25 × 24 '
= 600
The area of new rectangle is 600 square centimeters.
To know more about Rectangle on:
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At a dinner, the meal cost $22 and a sales tax of $2.09 was added to the bill. What is the tax rate for meals in this city?
Answer:
24.09 am I smart or what lol
Step-by-step explanation:
22 +2.09
Can sombody plz help I will make them brainless or something like that plz help
Answer:
27.5=2n OR 2n=27.5
Step-by-step explanation:
plug it in :)
A researcher is interested in the relationship between time spent browsing items in an online store and the total amount purchased from the store. The researcher selects a random sample of visitors to the online store and records the time spent browsing and the total amount of their purchase. The researcher will conduct a t-test for the slope of a regression line, where time spent browsing is the explanatory variable and total amount of purchase is the response variable. Which of the following would be an indication that the normality condition has been met?
A. A sample size that is less than 30
B. A histogram of the residuals that is centered at 0 and strongly right skewed
C. A dotplot of the residuals that is centered at 0, unimodal, and symmetric
D. A boxplot of the residuals that is centered at 100 and does not provide evidence of skewness or outliers
E. A scatterplot where total amount of purchase is the explanatory variable and time spent browsing is the response variable
Answer:
C
Step-by-step explanation:
AP Classroom
Nine children on the swim team dont like ice cream if this represents 18% of children on the swim team how many children are on the swim team
Answer:
Um.. Im not sure about this one.. you're in college?
Step-by-step explanation:
Answer:
50 children in total
Step-by-step explanation:
question is really asking this: 9 is 18% of what number
9 = .18x
9/.18 = 50
g Suppose you work for a publishing company and before launching a new magazine targeting fashion-oriented consumers, your boss wants to hold a meeting with perspective advertisers. Assume that annual expenditures on magazine ads in this genre are normally distributed with a mean of $316,532 and a standard deviation of $45,635. If the publisher wants to exclude companies with the smallest 2.74% in terms of annual expenditures on magazine ads from the sales meeting, what is the approximate minimum annual expenditure on magazine ads an advertiser would be required to have so that advertiser would be invited to the meeting
Answer:
X ≈ 228913 $
Step-by-step explanation:
The standard score z is:
z = ( X- μ ) /σ (1)
Now z (score ) for 2,74 % is:
2,74 % is 0,0274 and from z table z (score) = - 1,92
By subtitution in equation 1
-1,92 = ( X - 316532 ) / 45635
- 87619,20 + 316532 = X
X ≈ 228913 $
Graph the solution to the following system of inequalities in the coordinate plane.
y>1/4x+6
y>2x-1
Answer:
The solution is any point in the common part of red and blue
The two lines intersect each other at (4 , 7)
Step-by-step explanation:
∵ y > 1/4 x + 6 ⇒ y = 1/4 x + 6
∵ y > 2x - 1 ⇒ y = 2x - 1
∴ 2x - 1 = 1/4 x + 6
∴ 2x - 1/4 x = 6 + 1
∴ 7/4 x = 7 ⇒ x = 7 ÷ 7/4
∴ x = 4
∴ y = 2(4) - 1 = 7
∴ The two lines intersect each other at (4 , 7)
∴ The solution is any point in the common part of red and blue
Question 1) In an auditorium, there are 22 seats in the first row and 28 seats in the second row. The number of seats in a row continues to increase by 6 with each additional row. A) Write an iterative rule to model the sequence formed by the number of seats in each row. Show your work. (B) Use the rule to determine which row has 100 seats. Show your work. ( No Plagiarism and only answer if you know how to work this problem out. Will Mark Brainliest).
It's forming an A. P. because each succeeding Te rm increases by a common value i. e. 6 here.
The A. P is
22,28,34,.....
So the n th term will be represented as
a+(n-1)d,
where a=22
And d=6
Now in (b) part the n th term is given i. e. 100
So by putting in the given values we could easily found the value of n
n=(100-22)/6=78/6=13
So the 13th term will be 100
Hope You Got It.
I do not know how to solve this problem
Answer:
First you have to take a sleep
On Saturday, many tickets for a hockey game were sold. Children and adult tickets were sold in the ratio of 4:7. There are 88 tickets in total.
How many adult tickets were sold?
Answer:
49 tickets
Step-by-step explanation:
THis is pretty straight forward
So we have the ratio 4:7
We know there were 88 tickets in total but we don’t know the exact amount of adult and kids
So we can Add up the ratio
4+7=11
Now we can divide 88 by 11
you’ll get 7
So by doing this we know there are 7 groups of the ratio for child to adults 4:7
So we just multiply the 7 to each
4*7
7*7
you’ll get 28:49
Now we know there are 28 kid tickets and 49 adult tickets
We know this is correct becuase if you add up the ratio, it’ll be 88
Which is the same as the amount fo people at the hockey game
PLEASE HELP I WILL GIVE BRAINLIEST AND MAX POINTS
Select the statement that describes the end behavior of the function
A. As x approaches negative infinity, the function approaches positive infinity
B. As x approaches negative infinity, the function approaches negative infinity
C. As x approaches positive infinity the function approaches negative infinity
D. As x approaches positive infinity, the function approaches 0
Answer:
C
Step-by-step explanation:
when x is negitive, y has an asitope of 0 so not a
when x is negitive, y has an asitope of 0 so not b
when x is positive, y does keep going down so c
when x is positive, y does keep going down and doesn't seem to be approching 0 so not d
What is the measure of angle A in the triangle?
Answer:
Angle A = 50°
Step-by-step explanation:
(2x - 10) + (x + 30) + 70 = 180
3x = 180 + 10 - 30 - 70
3x = 90
x = 90/3
x = 30
A = 2x -10
A = (2 * 30) - 10
A = 60 - 10
A = 50
given that (ax^2 + bx + 3) (x + d) = x^3 + 6x^2 + 11x + 12
a + 2b - d = ?
Answer:
Let's solve for a.
(ax2+bx+3)(x+d)=x3+6x2+11x+12a+2b−d
Step 1: Add -12a to both sides.
adx2+ax3+bdx+bx2+3d+3x+−12a=x3+6x2+12a+2b−d+11x+−12a
adx2+ax3+bdx+bx2−12a+3d+3x=x3+6x2+2b−d+11x
Step 2: Add -bdx to both sides.
adx2+ax3+bdx+bx2−12a+3d+3x+−bdx=x3+6x2+2b−d+11x+−bdx
adx2+ax3+bx2−12a+3d+3x=−bdx+x3+6x2+2b−d+11x
Step 3: Add -bx^2 to both sides.
adx2+ax3+bx2−12a+3d+3x+−bx2=−bdx+x3+6x2+2b−d+11x+−bx2
adx2+ax3−12a+3d+3x=−bdx−bx2+x3+6x2+2b−d+11x
Step 4: Add -3d to both sides.
adx2+ax3−12a+3d+3x+−3d=−bdx−bx2+x3+6x2+2b−d+11x+−3d
adx2+ax3−12a+3x=−bdx−bx2+x3+6x2+2b−4d+11x
Step 5: Add -3x to both sides.
adx2+ax3−12a+3x+−3x=−bdx−bx2+x3+6x2+2b−4d+11x+−3x
adx2+ax3−12a=−bdx−bx2+x3+6x2+2b−4d+8x
Step 6: Factor out variable a.
a(dx2+x3−12)=−bdx−bx2+x3+6x2+2b−4d+8x
Step 7: Divide both sides by dx^2+x^3-12.
a(dx2+x3−12)
dx2+x3−12
=
−bdx−bx2+x3+6x2+2b−4d+8x
dx2+x3−12
a=
−bdx−bx2+x3+6x2+2b−4d+8x
dx2+x3−12
Answer:
a=
−bdx−bx2+x3+6x2+2b−4d+8x/
dx2+x3−12
Step-by-step explanation:
Maya drove 110 miles in 5 hours. If she continued at the same rate, how long would it take to travel 176 miles?
Answer:
8 hours
Step-by-step explanation:
110 miles ................. 5 hours
176 miles ..................x hours
x = 176×5/110 = 880/110 = 8 hours
1.15 x 10 negative 5 power
When F(x) = 9x^2 + 6,
evaluate f(-4)
Answer:
150
Step-by-step explanation:
Steps below in pic
Someone help me
6 cm
22 cm
14 cm
Would someone like to help me with 5 math problems?
2) You purchase a car using a $23,000 loan with a 4% simple interest rate. Suppose you pay the loan off after 5
years. How much interest do you pay on your loan? Please show your math work and don't forget the unit!
(Calculator is allowed but please write down the numbers that you enter into your calculator).
Express the given sums using sigma notation.
2/5+4/9+6/13+....+20/41
Answer:
олвововововлвлвлвлвлвлввлвлв
Answer:
[tex]\begin{array}{ccc}&10&&&\Sigma&\frac{2n}{4n + 1}&&n=1&\end{array}[/tex]
y is inversely proportional to the cube of x if y = 7 when x=4 what is y when x is 5
Answer:
y = 3.584
Step-by-step explanation:
Given
Variation = Inverse Proportional
When y = 7, x = 4
Required
Find y when x = 5
First, we need to represent the variation.
y varies inversely proportional to x³
This implies that
y ~ 1/x³
Convert variation to equation
y = k/x³
Make k the subject
k = x³y
When y = 7, x = 4
This gives:
k = 4³ * 7
k = 64 * 7
k = 448
To determine the value of y when x = 5;
We make use of y = k/x³
Substitute 5 for x and 448 for k
y = 448/5³
y = 448/125
y = 3.584
A system of equations is graft on the grid
Which system of equations does the graph represent?
A. y = x - 4
y = 0.5x – 2
B. y=-x+4
y= 0.52x + 2
C. y= -2 - 4
y=0.5x – 2
D. y= x +4
y = -0.5x + 2
Ariza paid $13.50 for 10 bottles of juice. Each bottle costs the same price. What is the price of one bottle of juice? $0.14 $0.74 $1.35 $3.50
Answer:
1.35
Step-by-step explanation:
13.50 divided by 10 = 1.35
Not troll! Please help, will give brainliest! Explain your answer and how you got it.
Evaluate the expression 34 + 4/9w and w = - 1/2
Answer:
304/9 as fraction
33.7 decimal
I cannot say steps i apologize.
Step-by-step explanation:
Jonathan is deciding between two truck rental companies. Company A
charges an initial fee of go for the rental plus $1 per mile driven
Company B charges an initial fee of $10 for the rental plus $1.50 per
mile driven. Let A represent the amount Company A would charge if
Jonathan drives s miles, and let B represent the amount Company B
would charge if Jonathan drives s miles, Graph each function and
determine which company would be cheaper if Jonathan needs to
drive 60 miles with the rented truck,
Answer:
Jonathan is deciding between two truck rental companies. Company A
charges an initial fee of go for the rental plus $1 per mile driven
Company B charges an initial fee of $10 for the rental plus $1.50 per
mile driven. Let A represent the amount Company A would charge if
Jonathan drives s miles, and let B represent the amount Company B
would charge if Jonathan drives s miles, Graph each function and
determine which company would be cheaper if Jonathan needs to
drive 60 miles with the rented truck,