Answer:
y=5/4=0.8
Step-by-step explanation:
(4×2y−8)−13y=−12
Multiply 4 and 2 to get 8.
8y−8−13y=−12
Combine 8y and −13y to get −5y.
−5y−8=−12
Add 8 to both sides.
−5y=−12+8
Add −12 and 8 to get −4.
−5y=−4
Divide both sides by −5.
y=−5−4
Fraction −5/−4 can be simplified to 5/4 by removing the negative sign from both the numerator and the denominator.
y=5/4
4. Which line represents the function y=10(1.05)^x
10 points
25
20
15
5
Blue
Green
Red
Answer:
EX: Use three coins to represent the wolf, the goat, and the cabbage. ... The slope from (0, 0) to any point (x, y) on the line will be y_ x . 8b. b 7.5. 9a. ... 11b. x 2. 10x. 25 x. 4 x x2. 4x. 7. 7x. 28. 11c. xy 2y 6x 12 11d. x 2. 2x. 3. 2 x y ... 13c. 4 yr. 13d. 24. ___. 20. 6 __. 5 1.2. 14a. 3 x 2. 16x 5. 1. 3x x 3x2. 15x. 5. 1x.
Step-by-step explanation:
the sumof the present ages of a father and his son is 60 years. 6years ago, the father's age was 5 times the age of his son.after 6 years, how old will the son be?
Answer:
20 years
Step-by-step explanation:
Let the present ages of son and father be x and (60 -x) years respectively.
Then, (60 - x) - 6 = 5(x - 6)
54 - x = 5x - 30
6x = 84
x = 14.
Son's age after 6 years = (x+ 6) = 20 years..
I hope this helps a little bit.
The director of a customer service center wants to estimate the mean number of customer calls the center handles each day, so he randomly samples 29 different days and records the number of calls each day. The sample yields a mean of 279.4 calls with a standard deviation of 25.1 calls per day. He can be 99% confident that the mean number of calls per day is between 266.5 and ________. (Round your answer to 1 decimal place.)
Answer:
He can be 99% confident that the mean number of calls per day is between 266.5 and 292.3.
Step-by-step explanation:
Confidence interval:
A confidence interval is symmetric, which means that the difference between the sample mean and the lower bound is the same as the difference between the upper bound and the sample mean.
In this question:
Sample mean: 279.4 calls
Lower bound: 266.5 calls
Upper bound: x calls
Due to the symmetry of the confidence interval:
[tex]x - 279.4 = 279.4 - 266.5[/tex]
[tex]x = 12.9 + 279.4[/tex]
[tex]x = 292.3[/tex]
So
He can be 99% confident that the mean number of calls per day is between 266.5 and 292.3.
A B C D ..........zzz
Answer:
QA = DU
yakno with the squiggly line over the equals sign
I need help with this question !!
Answer:
Step-by-step explanation:
Yes, A-A-A
Find the total surface area of the
following prism:
5 cm
5 cm
5 cm
5 cm
10 cm
5 cm
apothem = 3.6 cm
SA = [ ? ] cm2
Answer:
Total surface area = 340 cm²
Step-by-step explanation:
Surface area of the given prism = Area of two bases + Area of its lateral surfaces
Area of pentagonal base = [tex]\frac{1}{2}(\text{Apothem)}(\text{Perimeter})[/tex]
= [tex]\frac{1}{2}(3.6)(5\times 5)[/tex]
= 45 cm²
Area of the lateral sides of the prism = Perimeter of the pentagonal base × height
= (5×5)×10
= 250 cm²
Total surface area of the prism = 2(45) + 250
= 90 + 250
= 340 cm²
3. Three model greenhouses are shown below. They are made by covering the tops and sides of a wood frame with plastic. The bottom of the green house is not covered with plastic. Of the three models, which has the greatest amount of plastic needed to make it and which has the least amount of plastic needed? 3 ft ) 5 ft 5 ft 5 ft 3111/ 8 ft 6 ft 6 it 8 ft 8 ft 6 ft 8 ft Model A 12 ft Model B 10 ft Model C
Answer:
New Materials Have Made Greenhouses Less ... In our garden, we recently had a major ... Besides the trends mentioned above, there are many ... Since seasonal rains will not reach your greenhouse plants, you need to ... Glass and clear plastic function in basically the ...
Step-by-step explanation:
The Wall Street Journal Corporate Perceptions Study surveys readers and asks how each rats the quality of management and the reputation of the company for over worldwide corporations. Both the quality of management and the reputation of the company were rated on an excellent, good, and fair categorical scale. Assume the sample data for respondents below:
Reputation of Company
Quality of Management Excellent Good Fair
Excellent 40 25 5
Good 35 35 10
Fair 25 10 15
A. Use level of significance and test for independence of the quality of management and the reputation of the company. Compute the value of the test statistic (to 2 decimals).
B. If there is a dependence or association between the two ratings, discuss and use the probabilities to justify your answer.
Answer:
Step-by-step explanation:
[tex]\text{The data given for the quality measurement and other criteria can be seen below:}[/tex]
Quality management Excellent Good Fair Total
Excellent 40 25 5 70
Good 35 35 10 80
Fair 25 10 15 50
Total 100 70 30 200
The null and alternative hypothesis:
[tex]\mathbf{H_o: \text{the quality management and reputation are independent} }[/tex]
[tex]\mathbf{H_a: \text{the quality management and reputation are not independent} }[/tex]
The expected value is calculated by using the formula:
[tex]E=\dfrac{row \ total \times column \ total }{table \ total}[/tex]
After using the formula to calculate the table above; we have:
The expected values of the data to be:
Quality management Excellent Good Fair Total
Excellent 35 24.5 10.5 70
Good 40 28 1.2 80
Fair 25 17.5 7.5 50
Total 100 70 30 200
Degree of freedom = ( row - 1 ) × ( column -1 )
[tex]= (3 - 1 ) \times (3 -1)[/tex]
[tex]= 2\times 2[/tex]
[tex]=4[/tex]
[tex]\text{The p-value at level of significance of 0.05 and degree of freedom of 4 = }\mathbf{0.0019}[/tex]
Decision rule: To reject the [tex]\mathbf{H_o}[/tex] if the p-value is less than the ∝
Conclusion: We reject the [tex]\mathbf{H_o}[/tex] and conclude that quality management and reputation are not independent.
(B)[tex]\text{The P-value here implies that in case that there is no dependence between the two ratings, }[/tex][tex]\text{the probability that they will seem to show at least this kind of strong dependence is 0.0019.}[/tex]
[tex]\text{Thus, the probability that they will seem to show at least this kind of strong independence is =}[/tex][tex]\mathbf{0.0019}[/tex]
Please someone explain how to solve this piecewise function!!!! Im super confused
Answer:
From top to bottom:
[tex]0, 1, 2, -8, -8[/tex]
Step-by-step explanation:
We are given the piecewise function:
[tex]g(x) = \left\{ \begin{array}{ll} 0.5x+1 & \text{if } x \leq 2 \\ -8 & \text{if } x > 2 \end{array} \right.[/tex]
Row 1:
We want to find g(-2).
Since -2 is less than (or equal to) 2, we will use the first equation. Thus:
[tex]g(-2)=0.5(-2)+1=-1+1=0[/tex]
Row 2:
Likewise, 0 is less than or equal to 2. We will continue to use the first equation:
[tex]g(0)=0.5(0)+1=1[/tex]
Row 3:
2 is not less than 2 but it is equal to 2. So we will continue to use the first equation:
[tex]g(2)=0.5(2)+1=1+1=2[/tex]
Row 4 and 5:
Both 4 and 6 are greater than 2. Thus, we will use the second equation. Therefore:
[tex]g(4)=-8\text{ and } g(6)=-8[/tex]
I just need the right answer with steps
How do I answer this ? (1 + 3x)º
44°
Answer:
132x+44
Step-by-step explanation:
(1+3x)(44)
=(1+3x)(44)
=(1)(44)+(3x)(44)
=44+132x
=132x+44
whoever answers this correctly gets brainliest
Answer:
Democratic is the one that says the government should play an active role. Republican is the second choice (should be limited)
Answer: For the first, (goverment should play an active role in resolving social or economic issues) would be the Democratic Party.
And the Second (Government power should be limited and not used to resolve social or economic issues) is the republican.
Nikki brought a patio set on sale for $480 the original price was 850 what is the rate of discount
Answer:
43.5%
Step-by-step explanation:
Substitute the original price of $850 and the sale price of $480 to find
amount of discount=850−480=370
Use the amount of discount, $370, to find the discount rate. Use the equation
amount of discount=discount rate×original price.
Rearrange the equation to solve for the unknown value.
discount rate=amount of discountoriginal price
Substitute in the known values and solve to find the discount rate.
370850=0.435=43.5%
Thus, the discount rate on the patio set was 43.5%.
determine the 1st term of the first 21 term of an arithmetic series if the sum of the three middle term is 126 and the sum of the three last terms is 288
Answer:
- 18
Step-by-step explanation:
arithmetic sequences are in form:
a(n)=a(o)+d(n-1)
sum are in form:
s(n)=[a(0)+a(n)](n/2)
three middle terms is:
10th, 11th, 12th term
How to think: 21 = 10+1+10 --> middle 3 is 10,11,12
sum of these 3 terms:
a(10)+a(11)+a(12)
=a(o)+9d+a(0)+10d+a(0)+11d
=3a(0)+30d=126
a(0)+10d=42 ......(equation 1)
Last three terms is:
19th, 20th, 21th
a(19)+a(20)+a(21)
=a(0)+18d+a(0)+19d+a(0)+20d
=3a(0)+57d=288
a(0)+19d=96 ......(equation 2)
now you have
a(0)+10d=42 ......(equation 1)
a(0)+19d=96 ......(equation 2)
solve and gives
d=6
a(0)= -18
Subtract the fractions. Simplify if possible. 3/4 - 1/4 - 2/4 =
Please explain in words.
Answer:
No
Step-by-step explanation:
When you are adding a positive by a negative, simply subtract and take the sign of the larger number.
Describe the slope of the line.
The slope is
Find the slope.
m =
step by step explanation
Answer:
The slope is POSITIVE.
The line has a slope of positive 4/3
Step-by-step explanation:
It rises 4 then runs 3.
Thinking about the table...Why does this
table start at zero? Why aren't there any
negative numbers in the DOMAIN?
Answer:
Why does this table start at zero?The vertical axis on trending charts should almost always start at zero. The reason it's almost always is because you may have trending data that contains negative values or fractions. In those situations, it's generally best to keep Excel's default scaling.
Why aren't there any negative numbers in the DOMAIN?There are no domain restrictions, even though there is a variable under the radical. Since , can never be negative. The least it can be is , so there is no danger of taking the square root of a negative number.
Step-by-step explanation:
Hope it is helpful....
Mason is working two summer jobs, making $20 per hour lifeguarding and making $10 per hour landscaping. In a given week, he can work no more than 13 total hours and must earn at least $170. If xx represents the number of hours lifeguarding and yy represents the number of hours landscaping, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
[tex]x = 4\\y = 9[/tex] hours
Step-by-step explanation:
Given -
x represents the number of hours lifeguarding and y represents the number of hours landscaping
[tex]x+ y = 13[/tex] -----Eq ( 1 )
and
[tex]20 * x + 10 * y = 170[/tex] -----Eq ( 2 )
Substituting the value of [tex]x = 13-y[/tex] in equation 2, we get -
[tex]20* (13 - y) + 10 y = 170[/tex]
[tex]260 - 20 y + 10 y = 170\\10y = 90\\y = 9[/tex]
[tex]x = 13-9 = 4[/tex]
3/4 -5/8 in simplest form plz
can somebody help me with this
Answer:
[tex]y = -x^2+3x+4[/tex]
Step-by-step explanation:
( -1, 0) , (0, 4) , (4, 0)
y = a(x − b)(x − c)
x-intercept = -1
x = -1
(x + 1) = 0
x-intercept = 4
x = 4
(x - 4) = 0
y = (x + 1)(x - 4)
4 = a(0 + 1)(0 - 4)
4 = a (1)(-4)
4 = -4a
a = -1
y = -1(x + 1)(x - 4)
[tex]y = -x^2+3x+4[/tex]
A pizza dinner for $20 was marked down 20%. What was the new sale cost of the dinner?
Answer:
$16
Step-by-step explanation:
take 20 multiply it by 0.2 and you get 4 multiplied by 4 is 16 so it is 16 dollars
A boat traveled one hundred fifty feet in 9.7 seconds. How far would the boat travel in one minute thirty seconds?
Answer:
40250
Step-by-step explanation:
How many cubic feet will it take to the
prism below?
A. 560 ft cubed
B. 480 ft cubed
C. 280 ft cubed
D. 210 ft cubed
Answer:
C. 280 ft cubed
Step-by-step explanation:
1/2x7x5x16=280
Reflect the figure across the y- axis, then state the ordered pairs of the image.
May someone please explain how I would reflect it?
The angle measurements in the diagram are represented by the following expressions
Answer:
∠A is equal to 73°
Step-by-step explanation:
Because the two lines that move roughly bottom/left to top/right are marked as being parallel, we can say that ∠A + ∠B = 180°
With that we can take the two equations at the top, and add them together for a sum of 180°:
6x - 35° + 3x + 53° = 180°
9x + 18° = 180°
x + 2° = 20°
x = 18°
Now that we have x, we can solve for ∠A:
∠A = 6x - 35°
∠A = 6(18°) - 35°
∠A = 108° - 35°
∠A = 73°
We can test our answer by solving for ∠B. We know that ∠A and ∠B add up to 180°, so ∠B = 180° - ∠A = (180 - 73)° = 107°. Now let's solve for be given x and the original equation, and see if we have the right numbers:
∠B = 3x + 53°
∠B = 3(18°) + 53°
∠B = 54° + 53°
∠B = 107°
Which matches up, showing us that we have the correct answer.
find the number of terms in following algebraic expressions.
Answer:
it needs time wait for 10 min.
Rodney has $450 in his bank account. He is spending $20 per week. Which of the following equations represents the amount of money, M, in Rodney's account after w weeks?
Answer: M = -20w + 450
Step-by-step explanation:
M = -20w + 450
450 is the amount in his bank account; because he is spending $20 per weeks, so it's -20w.
Hello! May someone please help on this :)
I would probably give brainliest.
Answer:
theres 16 doughnuts
Step-by-step explanation:
I need help on this part
Answer:
ang 4 = 60°
Step-by-step explanation:
ang 1 and ang 4 are Linear pair or supplementary angles.
ang 1 + ang 4 = 180
120° + ang 4 = 180° (Putting the value of ang 1)
ang 4 = 180° - 120°
ang 4 = 60°