Answer:
a) 4 hours
b) 11 am
Step-by-step explanation:
So say the number of hours is x
a) 72 + 6x = 96
6x = 24
x = 4
b) 7am + 4 hours = 11am
According to the Rational Root Theorem, Negative seven-eighths is a potential rational root of which function?
Answer:
f(x)=24x^7+3x^6+4x^3-x-28
Step-by-step explanation:
Jay earns $8 an hour when he works at his uncle’s store. He earns $9 an hour when he does yard work for his neighbor. Which expression represents the total amount he will earn in a week when he works u hours at his uncle’s store and v hours doing yard work for his neighbor?
Answer:
8u+9v
Step-by-step explanation:
Answer:
8u+9v
Step-by-step explanation:
How would you describe the translation from f(x)=x2 to f(x)=x2+5 ?
Answer:
5 units up
Step-by-step explanation:
Adding 5 to the y-value of an (x, y) coordinate moves it up 5 units.
f(x) = x^2 +5 is translated 5 units upward from f(x) = x^2.
For the inverse variation equation xy = k, what is the constant of variation, k, when x = 7 and y = 3?
Answer:
k=21
Step-by-step explanation:
x=7 X y=3 = 21
7 x 3 = 21
Answer:21
Step-by-step explanation:
xy=k
k=xy x=7 y=3
k=7 x 3
k=21
Write an equation that is parallel to the line y=3x-5 and passes through the point (-1,2)
Which of the following values of n will result in a true statement when substituted into the given equation? 4n + 9 = 1 A. n = -2 B. n = 2 C. n = 3 D. n = 4
Answer:
A. n = -2
Step-by-step explanation:
A. n = -2
4(-2) + 9 = 1
-8 + 9 = 1
1 = 1
The value of n for which the statement of equation 4n + 9 = 1 holds true is n = -2.
Given an equation:
4n + 9 = 1
There are some given options for the value of n.
It is required to find the value of n, where the statement is true.
A) When n = -2:
4n + 9 = 4(-2) + 9
= 1
B) When n = 2:
4n + 9 = 4(2) + 9
= 17
C) When n = 3:
4n + 9 = 4(3) + 9
= 21
D) When n = 4:
4n + 9 = 4(4) + 9
= 25
Hence the true statement is when n = -2.
Learn more about Equations here :
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Which goes with which
For the past 50 days, daily sales of laundry detergent in a large grocery store have been recorded (to the nearest 10). Units sold Number of Times. 30 8 40 12 50 15 60 10 70 5 a). Determine the relative frequency for each number of units sold. Please show your work on EXCEL. b). Suppose that the following random numbers were obtained using Excel .12 .96 .54 .55 .66 .77 .88 .99 .33. 304894 Use these random numbers to simulate 10days of sales. Please show your work on EXCEL.
Answer:
The answer to this question can be described as follows:
Step-by-step explanation:
Please find the attachment
Joanne sells silk-screened T-shirts at community festivals and craft fairs. Her marginal cost to produce one T-shirt is $ 2.50 . Her total cost to produce 60 T-shirts is $ 240 comma and she sells them for $8 each. a. Find the linear cost function for Joanne's T-shirt production. b. How many T-shirts must she produce and sell in order to break even? c. How many T-shirts must she produce and sell to make a profit of $600?
Answer:
a) c = 90 +2.50t
b) 17
c) 126
Step-by-step explanation:
a) We're told that the cost for 60 T-shirts is $240, but we know that the marginal cost for those 60 shirts is ...
60($2.50) = $150
Joanne seems to have fixed costs of $240 -150 = $90. So, her linear cost function seems to be ...
c = 90 +2.50t . . . . . . . where c is the cost to produce t shirts
__
b) Joanne's revenue function is ...
r = 8t
so her profit function is ...
p = r -c = 8t -(90 +2.50t)
p = 5.50t -90
This will be zero for ...
0 = 5.50t -90
0 = t -16.364
Joanne must produce and sell 17 T-shirts to cover her production cost.
__
c) Profit will be 600 when ...
600 = 5.50t -90
690 = 5.50t
690/5.50 = t = 125.455
Joanne must produce and sell 126 T-shirts to make a profit of $600.
_____
Comment on results
Note that fractional T-shirt sales are involved in making the numbers come out exactly. We have elected to round up, so that slightly more profit is made than the exact amounts of $0 or $600. Rounding to the nearest integer would give values one shirt less than what we have reported.
what kind of novel is nutshell?
Answer:
i dont know what is it
den
An ice-cream factory makes 190 quarts of ice-cream in 10 hours how many quarts could be made on 12 hours what was that rate per day
5 Points
Multiply (x2 + 3x + 4)(3x2 - 2x + 1).
O A. 4x2 + x + 5
O B. 3x4 + 11x + 19x2 + 11x + 4
O C. 3x4 - 6x2 + 4
O D. 344 + 7 x° +7x2 - 5x+ 4
Answer: 3x^4+7x^3+7x^2+11x+4
Step-by-step explanation:
(x^2+3x+4)(3x^2-2x+1)
3x^4-2x^3+x^2+9x^3-6x^2+3x+12x^2-8x+4
Collect like terms
3x^4-2x^3+9x^3+x^2-6x^2+12x^2+3x+8x+4
3x^4+7x^3+7x^2+11x+4
Answer:
To multiply (x^2 + 3x + 4) and (3x^2 - 2x + 1), we need to distribute each term of the first polynomial to every term in the second polynomial:
(x^2 + 3x + 4)(3x^2 - 2x + 1)
= x^2 * (3x^2 - 2x + 1) + 3x * (3x^2 - 2x + 1) + 4 * (3x^2 - 2x + 1)
Now, let's simplify each term:
= 3x^4 - 2x^3 + x^2 + 9x^3 - 6x^2 + 3x + 12x^2 - 8x + 4
Combining like terms:
= 3x^4 + (-2x^3 + 9x^3) + (x^2 - 6x^2 + 12x^2) + (3x - 8x) + 4
= 3x^4 + 7x^3 + 7x^2 - 5x + 4
So, the product of (x^2 + 3x + 4) and (3x^2 - 2x + 1) is 3x^4 + 7x^3 + 7x^2 - 5x + 4.
Therefore, the correct answer is option C: 3x^4 + 7x^3 + 7x^2 - 5x + 4.
PLEASE HELP ME (20points)
Will Mark BRAINLIEST!
What’s the correct answer for this?
Answer:
i think it's B
Step-by-step explanation:
hope this helps
Answer:
B
Step-by-step explanation:
A median cuts a triangle into half (2:1) so the triangle is divided into two equal parts.
Two chemists working for a chicken fast-food company, have been producing a very popular sauce. Let’s call then Jesse and Mr. White. Gus, their boss, is tired of Mr. White’s negative attitude and is thinking about "firing" him and keeping only Jesse on the payroll. The problem, however, is that Mr. White seems to produce a higher quality sauce whenever he is in charge of production if compared to Jesse. Before making a final decision, Gus collected some data measuring the quality of different batches of sauce produced by Mr. White and Jesse. We assume the quality measurements for both of them are normally distributed with the common variance. The results, measured on a quality scale, are listed below:
Mr. White 97 1 7
Jesse 94 3 10
a. Based on this data, can we tell for sure (with 95% confidence) which one is the better chemist?
b. Gus wants to keep the mean quality score for the sauce above 90. In this case, can he can rid of Mr. White, i.e., is Jesse good enough to run the sauce production?
Answer:
Check the explanation
Step-by-step explanation:
Let [tex]\overline{x}[/tex] and [tex]\overline{y}[/tex] be sample means of white and Jesse denotes are two random variables.
Given that both samples are having normally distributed.
Assume [tex]\overline{x}[/tex] having with mean [tex]\mu_{1}[/tex] and [tex]\overline{y}[/tex] having mean [tex]\mu_{2}[/tex]
Also we have given the variance is constant
A)
We can test hypothesis as
[tex]H0: \mu_{1} = \mu_{2}H1: \mu_{1} > \mu_{2}[/tex]
For this problem
Test statistic is
[tex]T=\frac{\overline {x}-\overline {y}}{s\sqrt{\frac {1}{n1} +\frac{1}{n2}}}[/tex]
Where
[tex]s=\sqrt{\frac{(n1-1)*s1^{2}+(n2-1)*s2^{2}}{n1+n2-2}}[/tex]
We have given all information for samples
By calculations we get
s=2.41
T=2.52
Here test statistic is having t-distribution with df=(10+7-2)=15
So p-value is P(t15>2.52)=0.012
Here significance level is 0.05
Since p-value is <0.05 we are rejecting null hypothesis at 95% confidence.
We can conclude that White has significant higher mean than Jesse. This claim we can made at 95% confidence.
What is the slope of the line
Answer:
4/5
Step-by-step explanation:
There are so many points on the graph whose coordinates are impossible to estimate. Look for two "nice" points--points with integer coordinates. The line passes through (-2, 0) and (3, 4).
Slope = rise / run. It's the ratio of vertical change to horizontal change as you move from one point on the line to another.
Moving from (-2, 0) to (3, 4), the vertical change is 4 - 0 = 4.
The horizontal change is 3 - (-2) = 5.
The slope is 4/5
Lana's little sister needs to take a bubble bath. The package says to put in a drop of bubble bath for every half gallon of water in the bathtub. Lana doesn't know how many half-gallons there are, but she knows that their bathtub can hold 12 gallons of water. How many drops can she put into the bath for her sister? *
24 drops of bubble bath
Step-by-step explanation:
this is because the ratio is .5 gallon:1 drop, so 12 gallons would be 24 drops. I hope this helps!
Find the mode of the following numbers.
21, 7, 19, 21, 60, 21, 19
Answer:
The mode is 21.
Step-by-step explanation:
Mode is a number than appears most frequently in a set of numbers.
Answer:
[tex]21[/tex]
Step-by-step explanation:
The Most frequently number that appears in a set of numbers is called as mode.
21 , 7 , 19 , 21 , 60 , 21 , 19
Now here we can clearly see that 21 is the most frequent number that appears in the text.
hope this helps
brainliest appreciated
good luck! have a nice day!
What is the slope of the line that contains these points?x 15,17,19,21 y -10,2,14,26
Answer:
6
Step-by-step explanation:
The slope (m) can be found using the formula ...
m = (y2 -y1)/(x2 -x1)
Any pair of points will do. We can use the first two.
m = (2 -(-10))/(17 -15) = 12/2
m = 6
The slope of the line is 6.
Answer: 6
Step-by-step explanation:
The complement of 20°17' is
Answer:69°43'
Step-by-step explanation:
Complementary angles add up to 90
Let them complement be y
y+20°17`=90°
Collect like terms
y=90-20°17' 20°17'=1217/60
y=90-1217/60
y=(60x90 -1 x 1217)/60
y=(5400-1217)/60
y=4183/60
y=69°43'
If ∆ABC ~ ∆XYZ, m∠B = _____
A. m∠X.
B. m∠Y.
C. m∠Z.
Answer:
C.) m<Z
Step-by-step explanation:
Answer:
If ∆ABC ~ ∆XYZ, m∠B = m∠Z
Step-by-step explanation:
What is the solution of | x + 5 | > 7
Step-by-step explanation:
inequality form would be x<-12 or >2
I hope this helps
Answer:
2
Step-by-step explanation:
(x+5)>7
x+5>7
x>7-5
x>2
A camera crew on the ground is recording the act of a performer walking a tightrope stretched between two buildings. A member of the camera crew who is 1.8 m tall is almost directly below one end of the tightrope. When the performer steps out onto the other end of the tightrope, the angle of elevation is 75 . If the buildings are 30 m apart, how many meters above the ground is the performer?
Answer:
32332
Step-by-step explanation:
How many strings can be formed by ordering the letters MISSISSIPPI which
contain no two I’s are consecutive ?
Answer:
Total number of strings = 7350
Step-by-step explanation:
Given:
MISSISSIPPI
Required:
Number of strings to contain no two consecutive I's
To do this, we start by calculating the number of strings that can be formed without any I;
We're left with MSSSSPP
7 characters in total
4 S and 2 P
The number of strings is calculated as follows
Number of strings = [tex]\frac{7!}{4!2!}[/tex]
Number of strings = [tex]\frac{7*6*5*4!}{4!*2*1}[/tex]
Number of strings = [tex]\frac{7*6*5}{2*1}[/tex]
Number of strings = 7 * 3 * 5
Number of strings = 105
Then we count the number of possible spaces of I; This is as follows
-M-S-S-S-S-P-P-
This is represented by the - sign.
In total, there are 8 spaces, the 4 I's can occupy
There number of selection is as follows
[tex]\left[\begin{array}{c}8&\\4&\\\end{array}\right] = \frac{8!}{4!*4!}[/tex]
[tex]\left[\begin{array}{c}8&\\4&\\\end{array}\right] = \frac{8 * 7 * 6 * 5 * 4!}{4!*4*3*2*1}[/tex]
[tex]\left[\begin{array}{c}8&\\4&\\\end{array}\right] = \frac{8 * 7 * 6 * 5}{4*3*2*1}[/tex]
[tex]\left[\begin{array}{c}8&\\4&\\\end{array}\right] = 70[/tex]
Total number of strings = 105 * 70
Total number of strings = 7350
What is the estimated difference?
Round each number to the nearest thousand before finding the difference.
5,714,688 – 327,149
Pls help
Answer:
I think it is 5,388,000, but I m not sure
There were 632 animals gathered at the river. A herd of 187 elephants and 266 zebras left the river area. How many animals were still at the river?
Answer:
179 animals were still at the river
Step-by-step explanation:
There were 632 animals at the river.
A herd of 187 elephants and 266 zebras left the river area.
This means that 187 + 266 = 453 animals left the river area.
Remaining:
632 - 453 = 179
179 animals were still at the river
The following data on total body bone mineral content (TBBMC) (g) for a sample both during lactation (L) and in the post-weaning period (P). Subject 1 1928 2126 2 2549 2885 3 2825 2895 4 1924 1942 5 1628 1750 6 2175 2184 7 2114 2164 8 2621 2626 9 1843 2006 10 2541 2627 P
(a) Assuming that the normality assumption is satisfied, does the data suggest that true average total body bone mineral content during post-weaning exceeds that during lactation by more than 25g? State and test the appropriate hypotheses using a significance level of .05.
(b) Calculate an upper confidence bound using a 95% confidence level for the true average difference between TBBMC during post-weaning and during lactation.
Answer:
Check the explanation
Step-by-step explanation:
Kindly check the attached images below to see the step by step explanation to the question above.
Five friends bake ginger bread and subsequently meet up for a tasting session. Each one gives one of his ginger
breads to each other person. Then each person eats all of the ginger bread they were given. After that the
number of ginger breads halves. How many ginger breads did the five friends have to start with?
Answer:
The five friends had 10 fingers to start with; one had two each
Step-by-step explanation:
The statement says each gave one of not all of his ginger in the toasting session.
Find the area of the triangle SHOW WORK
Answer:
area of triangle= 1/2× base × height
1×88×53
2
= 2332mm²
estamate 1/4 x 19= plz i neeed awnser
Answer:
1/4 x 19=4.75 rounded to 4.8 or 5
Step-by-step explanation:
please mark brainliest if this helped
Answer:
4.75
Step-by-step explanation:
simple math you would find a number that both 4 and 19 have in common make that tha dominator and mutiple the number that equaled the dominator by the numerator to make them like fractions. mutiply across and make a simple fraction