Answers
Answer:
6) 102
7) 58
NOTE: Supplementary add to 180° and Complementary add to 90°
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Related Questions
Q. What is the area of the parallelogram above?
13cm squared
28.5cm squared
45.6cm squared
40cm squared
Answers
9514 1404 393
Answer:
40 cm²
Step-by-step explanation:
The area is given by the formula ...
A = bh
A = (8 cm)(5 cm) = 40 cm²
__
The length of the slanted side is irrelevant. The height is measured perpendicular to the base.
What is the solution to this equation?
8(25 +1 = 4
СА.
In(0.5)
T =
- 1
OB.
Ос.
In(0.5) + 1
2
In(0.5)
+1
2
In(0.5) - 1
OD
Answers
Answer:
Option (D)
Step-by-step explanation:
Given equation is,
[tex]8e^{2x+1}=4[/tex]
Taking natural log on both the sides of the equation,
[tex]\text{ln}(8e^{2x+1})=\text{ln}(4)[/tex]
[tex]\text{ln}(2^3)+\text{ln}(e^{2x+1})=\text{ln}(2^2)[/tex]
3ln(2) + (2x + 1)[ln(e)] = 2ln(2)
2n(2) - 3ln(2) = (2x + 1)
2x = -ln(2) - 1
[tex]2x=\text{ln}(\frac{1}{2})-1[/tex] [Since, -ln(2) = ln(1) - ln(2) = [tex]\text{ln}(\frac{1}{2})[/tex]]
[tex]2x=\text{ln(0.5)}-1[/tex]
[tex]x=\frac{\text{ln(0.5)-1}}{2}[/tex]
Therefore, Option (D) will be the correct option.
A cylinder has a volume of 659.4 cubic centimeters. The diameter of the cylinder is 10 cm. What is the height of the cylinder?
(Assume = 3.14)
A.
42 cm
B.
2.1 cm
C.
8.4 cm
D.
21 cm
Answers
The height is 8.4.
Calculated with H = V / πr^2, with H for height, V for volume, and r for radius (the diameter divided by 2).
what is -a^-2 if a+-5?
Answers
Answer: what method? GCF or LCM
Step-by-step explanation:
A farmer wants to plant soy beans and corn. He wants to plant at least 2 acres of soy beans. He has only $1200 to spend and each acre of soy beans costs $200 to plant and each acre of corn costs $100 to plant. Moreover, the farmer has to get the planting done in 12 hours and it takes an hour to plant an acre of soy beans and 2 hours to plant an acre of corn. The farmer profits $500 per acre of soy beans and $300 per acre of corn. If the farmer wants to maximize his profit, how many acres of each should he plant?
Answers
9514 1404 393
Answer:
4 acres of each
Step-by-step explanation:
Let s and c represent the number of acres of soybeans and corn, respectively. The problem statement gives rise to several constraints. There is also an objective function to maximize. The linear programming problem can be described by ...
maximize 500s +300c subject to ...
s ≥ 2
200s +100s ≤ 1200 . . . . cost to plant
s + 2c ≤ 12 . . . . . . . . . . . . hours to plant
__
The attached graph shows the objective function is maximized at (s, c) = (4, 4).
The farmer should plant 4 acres each of soybeans and corn.
__
For the solution here, the constraint that s ≥ 2 is irrelevant. If the graph included it, the vertices of the feasible solution space would be (2,5), (4, 4), (6, 0) and (2, 0). The solution that maximizes profit is (4, 4).
A rival chocolate company is larger. They have 11 times as many workers.
How many workers are employed at the chocolate company?
Solve on paper. Then check your answer on Zearn.
workers are employed at the chocolate company what is the answer
Answers
Answer:
13.4
Step-by-step explanation:
100 points. You earned $1600 in interest in your savings account over 10 years at a rate of 8%. How much money did you originally deposit into your savings account?
Answers
A = p(1+r)^t
1600 = p(1+0.08)¹⁰
P = 1600/2.1589
P= 741.12
741.12 dollar money did you originally deposit into your savings account!
Answer:
Simple interest: Principal = $2000
Annual compound interest: Principal = $1380.59
Step-by-step explanation:
As the question does not stipulate which type of interest was applied, please find below calculations for both simple interest and annual compound interest.
Simple Interest Formula
I = Prt
where:
I = interest accruedP = principalr = interest rate (in decimal form)t = time (in years)Given:
I = $1600r = 8% = 0.08t = 10 yearsSubstitute the given values into the formula and solve for P:
[tex]\implies \sf 1600=P(0.08)(10)[/tex]
[tex]\implies \sf 1600=0.8P[/tex]
[tex]\implies \sf P=\dfrac{1600}{0.8}[/tex]
[tex]\implies \sf P=2000[/tex]
Therefore, the initial deposit (principal) was $2000.
.....................................................................................................
Annual Compound Interest Formula
[tex]\large \text{$ \sf I=P\left[\left(1+r\right)^{t} -1\right]$}[/tex]
where:
I = interest accruedP = principal amountr = interest rate (in decimal form)t = time (in years)Given:
I = $1600r = 8% = 0.08t = 10 yearsSubstitute the given values into the formula and solve for P:
[tex]\implies \sf 1600=P\left[\left(1+0.08)^{10}-1\right][/tex]
[tex]\implies \sf 1600=P\left[\left(1.08)^{10}-1\right][/tex]
[tex]\implies \sf 1600=P\left[2.15892...-1\right][/tex]
[tex]\implies \sf 1600=P\left[1.15892...\right][/tex]
[tex]\implies \sf P=\dfrac{1600}{1.15892...}[/tex]
[tex]\implies \sf P=1380.5897...[/tex]
Therefore, the initial deposit (principal) was $1380.59 (nearest cent).
Learn more about simple interest here:
https://brainly.com/question/27743947
Learn more about compound interest here:
https://brainly.com/question/27747709
find the area of the shape shown below units 2
Answers
Answer:
81
Step-by-step explanation:
go hgv thx bgg TV vvt g h.c g ccx d
Find m RS
Please please this is on my final !
Answers
Answer:
[tex] \large{ \tt{☄ \: STEP- BY - STEP \: EXPLANATION}} : [/tex]
Observing the figure , We can see chord RS & TU equal. We're provided the value of RS i.e ( 6x - 28 ) ° & TU i.e ( 4x + 20 )°. Now , Just set up an equation & solve for x ![tex] \large{ \bf{❃ \: (6x - 28) \degree = (4x + 20) \degree}}[/tex]
[tex] \large{ \bf{↬6x - 28 \degree = 4x + 20 \degree}}[/tex]
[tex] \large{ \bf{↬ \: 6x - 4x = 20 \degree + 28 \degree}}[/tex]
[tex] \large{ \bf{↬2x = 48 \degree}}[/tex]
[tex] \large{ \bf{↬x = \frac{48 \degree}{2}}} [/tex]
[tex] \large{ \bf{↬ \boxed{ \bf{x = 24 \degree}}}}[/tex]
Now , Replacing the value of x :[tex] \large{ \bf{⇢m \: RS = (6x - 28) \degree = (6 \times 24 - 28) \degree = \boxed{ \bf{116 \degree}}}}[/tex]
[tex] \large{\boxed{ \boxed{ \tt{⟿ \: OUR \: FINAL \: ANSWER : \boxed{ \underline{ \bf{116 \degree}}}}}}}[/tex]
[tex] \large{ \tt{✺ \: STUDY \: TIP}} : [/tex]
Work consistently. Do your homework , read over your notes and revise for each test / quiz - no matter how insignificant !ツ Hope I helped! ۵
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A quiz consists of multiple choice questions. each question has 4 possible answers (a-d) and only one answer is correct. if the student guesses the answer to each question, then what is the probability that the student answer correctly for that question?
Answers
Answer:
Answers - 4
Correct Answer - 1
Probability - 1/4
Nolan opened a savings account with $1500 that pays no interest. He deposits an additional $110 each week thereafter. How much money would Nolan have in the account 25 weeks after opening the account?
Answers
Need help
Write a variable expression for the word phase
Nine more than a number y
Answers
Answer:
y + 9
Step-by-step explanation:
Answer:
y+9
Step-by-step explanation:
9 more means that you are adding 9 to y. As such, y+9 would mean that you are adding 9 to the number y.
GUYS HELP ME There are 6 classes on a field trip . Each class has 28 students and 7 adults going on the field trip they are all traveling by van. Each van holds 9 passengers. What is the fewest number of vans they will need ?
Answers
Answer:
24
Step-by-step explanation:
Total number of students and adult per class = 28 + 7 = 35
Van capacity = 9
Number of classes = 6
Total number of students including adults = (35 * 6) = 210
Number of vans needed = total / van capacity
= 210 / 9
= 23.333
Atleast 24 vans
Jonathan's preschool class has 9 girls and 6 boys. Which proportion can be used to determine the percent, P, of boys in class?
A) 6/15 = P/9
B) P/6 = 100/15
C) P/100 = 6/9
D) P/100 = 9/15
Answers
Answer:
B
Step-by-step explanation:
you are comparing percent to percent and total boys to total class.
Answer:
P/100=6/9
Step-by-step explanation:
P represent percentage and percentage is 100. so
THERE IS 2 QUESTIONS PLEASE HELP ME!
Answers
Answer:
Number 2 is 3:4.
Number 1 is d.
Step-by-step explanation:
Boxers and collies added together gives you 12:16. Divide them both by 4 and you get 3:4.
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The number of student in class 4 (6) divided by the total number of kids in the entire class (18) gives you 0.33333333333. Multiply that by 100 and it gives you 33.3333333333. As a percentage it is 33 1/2 %
There are 640 apples in the box if 20% of apples are found to be rotten . How many are good apples ?
Answers
640-128=512
the function of f(x)=x^3-7x+6 is shown in the figure which is a factor of the function shown
Answers
Answer:
answer is the first one
Step-by-step explanation:
i dont know how to explain it
The last day of school is in 3 months. Mrs. Fabrizio's birthday is in 10 weeks. What event does Mrs. Fabrizio have to wait longer for? How much longer? (1 month = 4 weeks)
Answers
Answer:
She has to wait longer for the last day of school. She will have to wait 2 more weeks for the last day of school compared to her birthday.
Step-by-step explanation:
If each month is four weeks, this means that 3 months will be 12 weeks. (3×4=12)
Mrs. Fabrizio's birthday is in 10 weeks and the last day of school will be in 12 weeks so she has to wait longer for the last day of school.
how many integers are there between 9 and 100, including 9 and 100?
Answers
Answer:
91 Integers
Step-by-step explanation:
Integers are whole numbers that can either be positive, negative, or zero.
Example would be counting numbers
Basically 100-9=91
so there's 91 integers including 9&100
Answer:
92 integers
Step-by-step explanation:
You may think 100-91=9 is correct. But because 9 and 100 are included, you have to add 1 to the answer. However, you don't add 2 since 0 is not included into the integers between 1 and 100.
CRISSY IS BUILDING A RECTANGULAR PRISM WITH
A VOLUME OF 360 CUBIC UNITS. THE HEIGHT OF
THE PRISM IS IO UNITS. CHRISSY CLAIMS THAT THE
BASE OF THE PRISM MUST BE A SQUARE. WHAT
ARE THE DIMENSIONS FOR A RECTANGULAR PRISM
THAT SHOWS CRISSY IS NOT CORRECT?
Answers
Answer: Crissy is correct
Step-by-step explanation:
Given
The volume of the rectangular prism is [tex]360\ units^3[/tex]
The height of the prism is [tex]h=10\ units[/tex]
Suppose A is the area of the base
So, the volume is given by
[tex]\Rightarrow V=A\times h[/tex]
Insert the values
[tex]\Rightarrow 360=A\times 10\\\Rightarrow A=36\ \text{or}\ 6\times 6\ units^2[/tex]
As 36 is the perfect square of 6, therefore, the base is a square with the dimension of [tex]6\times 6\ units^2[/tex]
Crissy's claim is correct.
Tell whether the two figures are similar. Explain your reasoning.
Answers
Answer:
i think its A
Step-by-step explanation:
if its not I'm sorry- um i think this cuz in the first figure where it says 8 its the same height side to side same thing with the 12. the second shape is also doing the same thing. really only thing that differes is the size. the second image is like a smaller version of the first one.
How do you find X and Y?
4y + 5z = 60
5x + 3y = 60
4x + 3z = 60
Answers
Answer:
1. y=5 x=8
2. x=9 y=5
3. x=12 z=4
Step-by-step explanation:
1. 4(5)+5(8)=60
2. 5(9)+3(5)=60
3. 4(12)+3(4)=60
The leaders of two youth sports teams randomly select five members of each team and record their ages, as shown.
• Team A 16, 13, 12, 16, 13
• Team B: 10, 13, 16, 16, 10
Which statement appropriately compares the ages of the team members?
Members of Team A and members of Team B are likely the same average (mean) age.
Members of Team A are likely younger, and they have less variability in their ages.
Members of Team A are likely older, and they have more variability in their ages.
D Members of Team A are likely older, and they have less variability in their ages.
Answers
Answer:
Members of Team A are likely older, and they have less variability in their ages.
Step-by-step explanation:
To solve this question, we need to find the mean and the standard deviation for each team.
Team A 16, 13, 12, 16, 13
The mean is:
[tex]M = \frac{16 + 13 + 12 + 16 + 13}{5} = 14[/tex]
The standard deviation is:
[tex]S = \sqrt{\frac{(16-14)^2 + (13-14)^2 + (12-14)^2 + (16-14)^2 + (13-14)^2}{5}} = 1.67[/tex]
Team B: 10, 13, 16, 16, 10
The mean is:
[tex]M = \frac{10 + 13 + 16 + 16 + 10}{5} = 13[/tex]
The standard deviation is:
[tex]S = \sqrt{\frac{(10-13)^2 + (13-13)^2 + (16-13)^2 + (16-13)^2 + (10-13)^2}{5} = 13} = 2.68[/tex]
Which statement appropriately compares the ages of the team members?
Sample of team A has higher mean age, which means that they are likely older. They also have a smaller standard deviation, so they likely have less variability in their ages.
Right triangle ABC is shown below.
On a coordinate plane, a line goes through (1, 0) and (3, 5). A triangle has a rise of 5 and run of 2.
Answers
Answer:
sfsvggghsgxfgjgtdghyfys.com
pls help this stuff is so hard to understand
Answers
Answer:
y = 0.5 (2)^x
Step-by-step explanation:
3rd option
you can plug in a coordinate point like (2, 2) to check this.
The four sides of an octagon that are vertical or horizontal are all one length, while the four slanted sides are 4 inches less. If the perimeter is 124 inches, how long are the shorter sides?
Answers
9514 1404 393
Answer:
13.5 in
Step-by-step explanation:
Let s represent the length of a short side. Then a long side is (s+4). The perimeter is ...
P = 4s +4(s+4)
124 = 8s +16
15.5 = s +2 . . . . . . divide by 8
13.5 = s . . . . . . . . . subtract 2
The shorter sides are 13.5 inches long.
Identify the range of the function shown in the graph.
Answers
Answer:
The answer should be B: -1<y<3
ANSWER ASAP DONT SEND A FILE. IS THIS SHAPE A ROTATION, REFLECTION,TRANSLATION, DILATION OR NONE????
Answers
Answer:
none
Step-by-step explanation:
the variables height and weight could reasonably be expected to have a positive linear correlation coefficient, since taller people tend to be heavier, on average than shorter people. Give an example of a pair of variables which you would consider to have a negative linear correlation and explain why. Then give an example of a pair of variables whose linear correlation coefficient is likely to be close to zero
Answers
Answer:
i) Speed and travel time
ii) Coffee and car
Step-by-step explanation:
i) Example of a pair of variable that have a negative Linear correlation
A negative correlated pair of variables simply means that the variables are inversely proportional to each other .and an example of such pair of variables is
Speed and Travel Time
Increase in speed causes a decrease in travel time. ( because the faster a car travels the shorter the travel time spent by the car while the slower a car travels the longer the travel time spent by the car )
ii) Example of a pair of variable with no linear correlation ( almost zero )
A close to zero linear correlation shows that there i no actual relationship between the variables.
Coffee and car
Increase or decrease in the cost of coffee will have no significant effect ( either negative or positive ) on the price of cars in the open market.
How do we solve for x
Answers
Answer:
Use Cross product Or Multiply both sides by 6 to get x alone
x/6 = 4/5
Multiplying 6 on both sides
we have
x=4/5 x 6
x=24/5 = 4.8