2 Answers:
Choice C) It will use a closed circle
Choice D) The ray will move to the left
=========================================================
Explanation:
The inequality [tex]x \le -8[/tex] means that x = -8 or x < -8. Since we're including -8 itself, which is the endpoint, we'll use a closed circle. In contrast, an open circle would be used if the inequality was [tex]x < -8[/tex] to exclude the endpoint -8.
The ray is to the left because we're visually describing all values smaller than -8. Such example values are -10 and -22 as these values are to the left of -8 on the number line.
In short, the graph consists of a closed circle at the endpoint -8 and the arrow is to the left. We can say the shading is to the left.
2) A college student saves $6000 working over the summer. Then spends $540
a month when he goes back to college. Write a linear function using
meaningful variables to model this situation. Find and interpret the slope
and y-intercept.
Let m = months and D = Dollars in bank
a) D =
b) What does the slope represent in this situation?
c) What does the y-intercept represent in this situation?
3) An exponential function has a starting value of 13 and a growth rate of
0.78%. Write an equation to model the situation.
Y =
Answer:
Answer: 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you.
Step-by-step explanation:
Need help lol. last day to turn this in and failing by 1 point please help
A sphere has a radius of 15ft find the volume of the sphere
Answer:
14130= I rounded
Step-by-step explanation:
This is the formula
4/3 x pi x r cubed
radius :15
pi = 3.14
substitue the Values
4/3 times 3.14 times 15 times 15 times 15.
3375 = 15 times 15 times 15
3375 x 3.14 = 10597.5 x 4/3
14130
Answer:
14,137.1669 ft^3
Step-by-step explanation:
1. Cube the radius: 15^3 = 3375
2. Multiply the cubed radius by 4/3: 3375*4/3 = 4500
3. Multiply the equation by 3.14159 (pi): 4/3(3.14159)(3375) = 14,137.1669 ft^3
4. Round your answer as needed.
In ΔPQR, the measure of ∠R=90°, RP = 7.6 feet, and QR = 5 feet. Find the measure of ∠Q to the nearest degree.
Answer:
15.9454=15.9
Step-by-step explanation:
According to Descartes rule what is a possible number of positive and negative roots
Answer:
sepalacola
Step-by-step explanation:
How many sides does a polygon have if the sum of the interior angles is 2240
?
Answer:
Note: it seems a typo, should be 2340 instead of 2240
Sum of interior angles of a polygon:
S = 180(n - 2)We have:
S = 2340Find n:
180(n - 2) = 2340n - 2 = 2340/180n - 2 = 13n = 1515 sides
90(2n-4)=Sum of interiors
2240=90(2n-4)2240=180n-360180n=2600n=2600/180n=14.4=14Solve for n.
n + 184 = –375
Answer:
n=-559
Step-by-step explanation:
Hope this helps and have a great day. :)
Answer:
n= -559
Step-by-step explanation:
So in order to solve this, you need to subtract 184 on both sides.
n+184=-374
-184=-184
-----------------------
n= -559
So the answer is n= -559
Hope this helped!!! :)
He decides to conduct a chi-square goodness-of-fit test to see whether his high school's distribution differs significantly from that of the publication. Pasquale’s statistics teacher tells him that his information does not meet the conditions necessary for a goodness-of-fit test. Which condition has not been met? Data are collected using a random sample or randomized experiment n≤0.10N All expected counts are greater than 5.
Answer:
Step-by-step explanation:
15) Find the product. Show all your work.
Reduce all your answers into simplest
form
3 - x
5
л |N
Answer:
[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
3 [tex]\frac{3}{4}[/tex] x [tex]\frac{2}{5}[/tex]
[tex]\frac{15}{4}[/tex] x [tex]\frac{2}{5}[/tex]
[tex]\frac{30}{20}[/tex] = [tex]\frac{3}{2}[/tex]
or another way
[tex]\frac{15}{4}[/tex] x [tex]\frac{2}{5}[/tex]
[tex]\frac{3}{2}[/tex] x [tex]\frac{1}{1}[/tex] = [tex]\frac{3}{2}[/tex]
plz help plz plz plz
Answer:
Depth = 5
Width = 4
Height = 4
Total = 80
Step-by-step explanation:
For depth, width, and height you just count
The total equals, depth times width times height = 5x4x4 = 80
From the equation below, where is the center of the circle located and what is the radius?
(x – 4)2 + (y + 8)2 = 16
A) Center: (4, -8) Radius = 4
B) Center: (-4, 8) Radius = 4
C) Center: (4, -8) Radius = 16
D) Center: (-4, 8) Radius = 16
Answer:
B Center: (-4, 8) Radius = 4
Step-by-step explanation:
4. Nancy placed 78.089. Which of the following numbers is closest to 78.089?
78.089
78
+
79
A 78
C 78.09
B 78.08
D 78.1
C is the closest to 78.089
Fay read an article that said 26% of Americans can speak more than one language. She was curious if this
figure was higher in her city, so she tested H, : p=0.26 vs. H : p > 0.26, where p represents the
proportion of people in her city that can speak more than one language.
She found that 40 of 120 people sampled could speak more than one language. The test statistic for these
results was 2 1.83.
Assuming that the necessary conditions are met, what is the approximate P-value for Fay's test?
You may round to three decimal places.
P-value
Answer:
0.0336
Step-by-step explanation:
the hint says so
According to the result of the test statistic, the approximate p-value for Fay's test is of 0.034.
How to find the p-value of a test?
It depends on the test statistic z, as follows.
For a left-tailed test, it is the area under the normal curve to the left of z, which is the p-value of z.For a right-tailed test, it is the area under the normal curve to the right of z, which is 1 subtracted by the p-value of z.For a two-tailed test, it is the area under the normal curve to the left of -z combined with the area to the right of z, hence it is 2 multiplied by 1 subtracted by the p-value of z.In this problem, we are testing if the proportion is greater than a value, hence it is a right-tailed test.
The test statistic is z = 1.83, which has a p-value of 0.966.
1 - 0.966 = 0.034.
Hence, the approximate p-value for Fay's test is of 0.034.
You can learn more about p-values at brainly.com/question/13873630
A 95% confidence interval for a population mean is computed from a sample of size 400. Another 95% confidence interval will be computed from a sample of size 100 drawn from the same population. Choose the best answer to fill in the blank: The interval from the sample of size 400 will be approximately _____ as the interval from the sample of size 100.
Answer:
A 95% confidence interval for a population mean is computed from a sample of size 400. Another 95% confidence interval will be computed from a sample of size 100 drawn from the same population. Choose the best answer to fill in the blank: The interval from the sample of size 400 will be approximately _______as the interval from the sample of size 100.
Plz help this is due today NO LINKS OR GROSS PICTURES OR I Will REPORT And please show work
Answer: Trapezoid
Step-by-step explanation:
Trapezoids are parollelograms, that’s all
x^2+ 6x + 8
Vertex:
Axis of symmetry:
Y-intercept:
X-intercept:
Answer:
( + 2 ) ( + 4 )
Step-by-step explanation:
Answer:
See below for answers and explanations (along with a graph)
Step-by-step explanation:
To calculate the vertex, we can transform the expression into an equation in the form of y=a(x-h)²+k and take (h,k) as our vertex. By completing the square, we see that y=x²+6x+8 is the same as y=(x+3)²-1, implying that our vertex is (-3,-1)
To calculate the axis of symmetry, it is defined as the vertical line that passes the x-axis, defined as x=h, therefore the axis of symmetry is x=-3
To calculate the y-intercept, it is defined as the y-value when x=0, therefore the y-intercept would be y=(0)^2+6(0)+8=8, so y=8 or (0,8)
To calculate the x-intercepts, which are the x-values when y=0, we can factor the expression and set it equal to 0 so we can use the Zero Product Property. Therefore, if x²+6x+8=0, then (x+2)(x+4)=0, implying that x+2=0 and x+4=0 are solutions. This means that our x-intercepts are x=-2 and x=-4 or (-2,0) and (-4,0).
Note that there are different ways to achieve these answers. See the graph for a visual reference (you may need to click on it to zoom in).
plz plz plz plz help me plz it is due in 1 hour and no links plz
True or False
72 - ( - 100) is negative.
Answer:
false
Step-by-step explanation:
72 - (-100) --> two negatives turn into a positive
72 + 100
What is the measure of angle 7?
Answer:
measure of Angle 7 would also be (3y - 8), by the alternate exterior angles theorem
Hope this helps!
The ratio of blue cars to red cars in a garage is 7:6. If there are
28 blue cars in the garage then how many red cars must be in the garage?
Answer:
24 Red Cars
Step-by-step explanation:
Step 1 : Create a ratio
7:6 = 28:x
Step 2 : Find the relation between the two.
28/7 = 4
Step 3 : Multiply 6 by 4 to find x
6 * 4 = 24
Edit : Reread question
Answer:
24
Step-by-step explanation:
7/6=28/x
7x=28*6
7x=168 ...both divide by 7
x=24
red cars in garage 24
What is the value of x, the side length of the smallest square (please show work) Thanks!
Answer:
8 cm
Step-by-step explanation:
Ok lets on the biggest square we have 17 cm
17cm is the hypotenuse for the right triangle
The second largest's area is 225 cm^2
Sq root of 225 cm^2, is 15
To find x, lets plug the info we have to the pythagorean theorom
[tex]a^2 + b^2 = c^2\\a^2 + 15^2 = 17^2\\a^2 + 225 = 289\\\\289 - 225 = a^2\\64=a^2\\a = 8 cm[/tex]
The side length of the smallest Square is 8 cm
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
A marketing research firm would like to survey undergraduate and graduate college students about whether or not they take out student loans for their education. There are different cost implications for the region of the country where the college is located and the type of degree. The survey cost table is provided below:
Student type
Region undergraduate graduate
East $10 $15
Central $12 $18
West $15 $21
The requirements for the survey are as follows:
The survey must have at least 1500 students
At least 400 graduate students
At least 100 graduate students should be from the West
No more than 500 undergraduate students should be from the East
At least 75 graduate students should be from the Central region
At least 300 students should be from the West
The marketing research firm would like to minimize the cost of the survey while meeting the requirements. Let X1 = # of undergraduate students from the East region, X2 = # of graduate students from the East region, X3 = # of undergraduate students from the Central region, X4 = # of graduate students from the Central region, X5 = # of undergraduate students from the West region, and X6 = # of graduate students from the West region.
Clearly state the problem (objective function, constraints)
Answer:
Objective Minimize 10x1 +15x2 + 12x3+18x4+15x5+ 21x6
The central total cost $ 17586 due to the number of central undergraduate students 1458 is very high.
The total minimum cost would $ 17586 +$260+ $300= $ 18146
Step-by-step explanation:
Let
X1 = # of undergraduate students from the East region,
X2 = # of graduate students from the East region,
X3 = # of undergraduate students from the Central region,
X4 = # of graduate students from the Central region,
X5 = # of undergraduate students from the West region, and
X6 = # of graduate students from the West region.
Then the cost functions are
y1= 10x1 +15x2
y2= 12x3+18x4
y3= 15x5+ 21x6
According to the given conditions
The constraints are
x1 +x2 + x3+x4+ x5+ x6 ≥ 1500------- A
15X2 +18X4+21X6 ≥ 400---------B
21X6 ≥ 100
X6 ≥ 100/21
X6 ≥ 4.76
Taking
X6= 5
10X1 ≤ 500
X1 ≤ 500/10
X1≤ 5
18X4 ≥ 75
X4 ≥ 75/18
X4 ≥ 4.167
Taking
X4= 5
Putting the values
15X5+ 21X6 ≥ 300
15X5+ 21(5) ≥ 300
15X5+ 105 ≥ 300
15X5 ≥ 300-105
15X5 ≥ 195
X5 ≥ 195/15
X5 ≥ 13
Putting value of X6 and X4 in B
15X2 +18X4+21X6 ≥ 400
15X2 +18(5)+21(5) ≥ 400
15X2 +195 ≥ 400
15X2 ≥ 400-195
15X2 ≥ 205
X2 ≥ 205/15
X2 ≥ 13.67
Taking X2= 14
Now putting the values in the cost equations to check whether the conditions are satisfied.
y1= 10x1 +15x2
y1= 10 (5) + 15(14)= 50 + 210= $ 260
y3= 15x5+ 21x6
y3= 15 (13) + 21(5)
y3= 195+105= $ 300
x1 +x2 + x3+x4+ x5+ x6 ≥ 1500
5+14+x3+5+13+5≥ 1500
x3≥ 1500-42
x3≥ 1458
y2= 12x3+18x4
y2= 12 (1458) + 18 (5)
y2= 17496 +90
y2= $ 17586
The cost can be minimized if the number of students from
Undergraduate Graduate
East Region X1≤ 5 X2 ≥ 13.67
Central X3≥ 1458 X4 ≥ 4.167
West X5 ≥ 13 X6 ≥ 4.76
This will result in the required number of students that is 1500
Constraints:
East Undergraduate must not be greater than 5
East Graduate must not be less than 13
Central Undergraduate must be greater than 1458
Central Graduate must be greater than 4
West Undergraduate must be greater than 13
West Graduate must be greater than 4
The central total cost $ 17586 due to the number of central undergraduate students 1458 is very high.
The east region has a least cost of $260 and west region has a cost of $300.
The total minimum cost would $ 17586 +$260+ $300= $ 18146
Two friends are to meet at the library. Each independently and randomly selects an arrival time within the same one-hour period. Each agrees to wait a maximum of fifteen minutes for the other to arrive. What is the probability that they will meet
Answer:
The probability that they will meet is 0.4375
Step-by-step explanation:
Let A and B be two friends who choose to meet the same one-hour period.Since there are 60 minutes in an hour therefore n= 60
A can wait for 15 minutes
So the probability of A to meet is given by P(A)= (15/60)= 1/4
Similarly
B can wait for 15 minutes
So the probability of B to meet is given by P(B)= (15/60)= 1/4
The probability that A cannot meet is given by 1- P(A)= 1-1/4= 3/4
Similarly
The probability that B cannot meet is given by 1- P(B)= 1-1/4= 3/4
And
The probability that both A and B cannot meet is given by = 3/4*3/4= 9/16
So the probability that both will meet = 1- 9/16= 7/16= 0.4375
HELP
If MK = 10 m, find the length of MKL.
The length of arc MKL in the image given is: 19.02 m.
What is the Arc Length?Arc length = ∅/360 × 2πr, where r = 1/2(diameter of circle).
∅ = 180 + (90 - 52) = 218°
Radius (r) = 10/2 = 5 m
Arc length of MKL = ∅/360 × 2πr = 218/360 × 2π(5)
Arc length of MKL = 19.02 m
Therefore, the length of arc MKL in the image given is: 19.02 m.
Learn more about arc length on:
https://brainly.com/question/2005046
NEEED HELP 20 minutes
Gloria has two number cubes with faces numbered 1 through 6. She will roll each number cube once.
Part A Make an organized list to show the sample space for rolling the two number cubes once.
(You can make a list or a tree diagram to represent the sample space.)
Part B How many possible outcomes are in the sample space for rolling the two number cubes once?
Part C Gloria wants to roll the number cubes once and get a sum of 8 on the top faces.
List the outcomes in the sample space that have a sum of 8.
Part D What is the probability that Gloria will get a sum of 8 on the top faces when she rolls the two number cubes once?
Answer:
Step-by-step explanation:
There are 36 possibilities. That's a lot. I'll give you the two sets of them to give you the idea of how to set it up.
1 1
1 2
1 3
1 4
1 5
1 6
Now you can list all the reverse numbers
2 1
3 1
4 1
5 1
6 1
Do this pairing all the way down and then add the doubles amount.
B: 36 (Stated Above)
C:
4 4
3 5
5 3
6 2
2 6
D
There are 36 possible outcomes.
The Probability is 5/36
The Probability is 0.1388 .... repeating.
someone help me wiht this geomtry problem asap!!!
Answer:
if you ant to find the area of the traporziord prism you have to multiply the height and with to find the area
finding the slope to points
What is the Mean and the Median of this set of test scores?
{76, 82, 54, 100, 100, 82, 100, 93, 100, 93}
Answer:
Mean: 88
Median:93
Step-by-step explanation:
To find the mean, add all the numbers to get the sum, then divide by how many numbers there are.
Put the numbers from smallest to largest, then find the number in the middle if there’s an odd amount of numbers. If there is an even amount of numbers, find the two in the middle, add them together, and divide by 2 to get the median.
Mean: 76+82+54+100+100+82+100+93+100+93 = 880/10 = 88
Median: 54, 76, 82, 82, 93, 93, 100, 100, 100, 100
There is an even amount of numbers (10)
The two in the middle are 93 and 93
93+93=186/2=93
5 Victor knows that 2 + 7 = 7+2 and 2•7= 7•2
Answer:2^7 ≠ 7^2
Step-by-step explanation:
2^7 = 2 * 2 * 2 * 2 * 2 * 2 * 2
The only factor is 2
7^2 = 7 * 7
The only factor is 7
Comparing the factors when written as a repeated multiplication,
2^7 and 7^2 have no common factor :
2^7 = 2 * 2 * 2 * 2 * 2 * 2 * 2 = 128
7^2 = 7 * 7 = 49
50 PTS for answer!! I need help! "Work this one out," said Monica to her colleague. "I drive from my home to the office every morning. At the back of my house is a short, fairly narrow driveway approximately 300 yards long. I drive my car down this driveway in a westerly direction, yet when I stop the car at the end of the driveway it is facing east."
"Does the driveway go round in a circle?" asked the colleague.
"No," replied Monica, "it is absolutely straight."
What is the explanation?
es norte sur este y oeste es un camino completamente recto esta en circulo por ue esta la brujula que apunta al norte y al sur