Step-by-step explanation:
Original cost = 900
Cost after VAT = 990
VAT amount = 990 - 900 = 90
Rate of VAT = 90/900×100 = 90/9 = 10%
A blueprint for a building includes a rectangular room that measures 3 inches long and 5.5 inches wide. The scale for the blueprint says that 1 inch on the blueprint is equivalent to 10 feet in the actual building. What are the dimensions of this rectangular room in the actual building? (Hint; dimensions means both how long and how wide)
Answer:
30 ft. x 55ft
Step-by-step explanation:
3 x 5.5
1 inch = 10 ft
3 * 10 = 30
5.5 = 55
30' x 55'
The average cost of tuition and room and board at a small private liberal arts college is reported to be $8,500 per term. A financial administrator believes that the average cost is higher. A study conducted using 350 small liberal arts colleges showed that the average cost per term is $8,745. The population standard deviation is $1,200. Let α
Answer:
D. +3.82
Step-by-step explanation:
The computation of the test static for this test is shown below:
Data provided in the question
[tex]\bar x[/tex]= $8,745
[tex]\mu[/tex] = $8,500
[tex]\sigma[/tex] = $1,200 and n = 350
Now based on the above information, the test static for this test is
[tex]z = \frac{\bar x - \mu}{\frac{\sigma}{\sqrt{n} } }[/tex]
[tex]z = \frac{\$8,745 - \$8,500}{\frac{\$1,200}{\sqrt{350} } } \\[/tex]
= 3.82
= +3.82
Hence, the test static for this test is +3.82
We simply applied the above formula so that the correct value could come
And, the same is to be considered
Russell works at a deli making meatball subs. Today, he has made
s
sandwiches so far, and in each sandwich he puts 4 meatballs.
If Russell started with 100 meatballs at the beginning of the day, write an algebraic expression that describes how many meatballs he has left.
Answer
m=100/4-S
Step-by-step explanation:
WHAT IS 2 PLUS 2
WHAT IS 4 PLUS 4
Answer:
4 and 8 because that's math, theres no other answer.
Answer:
2 plus 2 is 4 and 4 plus 4 is 8
Step-by-step explanation:
ok so i rlly need help with number 8 and 9. as a class the teacher did 10 and ik she went up by 3’s but why like i just need help (i will make u brainliest)
Step-by-step explanation:
y = 2x + 6 means that the letter Y equals 2x plus 6. So add 2 and 6 which gives you 8 and you are with this: 8x or 8(x). If your teacher gave you the value of X multiply 8 by x since the eight is outside its parenthesis. Once you have that answer or just 8X put the result of 8x in the y box and the 8x in the x box (skip count from ther of which the value ur teacher gave u)
Use the same context with the next problem. Hope this helps.
Conservationists have despaired over destruction of tropical rain forest by logging, clearing, and burning." These words begin a report on a statistical study of the effects of logging in Borneo. Here are data on the number of tree species in 12 unlogged forest plots and 9 similar plots logged 8 years earlier:
Col1 Unlogged 2218 222015121 13 13 1913 19 15
Col2 Logged 17 4 181418151510 12 Use the data to give a 90% confidence interval for the difference in mean number of species between unlogged and logged plots. Compute degrees of freedom using the conservative methoo. Interval: ________to__________.
Answer: -8.16 to 15.84
Step-by-step explanation: Confidence Interval is an interval in which we are a percentage sure the true mean is in the interval.
A confidence interval for a difference between two means and since sample 1 and sample 2 are under 30, will be
[tex]x_{1}-x_{2}[/tex] ± [tex]t.S_{p}\sqrt{\frac{1}{n_{1}}+\frac{1}{n_{2}} }[/tex]
where
x₁ and x₂ are sample means
t is t-score
[tex]S_{p}[/tex] is estimate of standard deviation
n₁ and n₂ are the sample numbers
The estimate of standard deviation is calculated as
[tex]S_{p}=\sqrt{\frac{(n_{1}-1)s_{1}^{2}+(n_{2}-1)s_{2}^{2}}{n_{1}+n_{2}-2} }[/tex]
where
s₁ and s₂ are sample standard deviation of each sample
Degrees of freedom is:
[tex]df=n_{1}+n_{2}-2[/tex]
df = 12 + 9 - 2
df = 19
Checking t-table, with 90% Confidence Interval and df = 19, t = 1.729.
The mean and standard deviation for 12 unlogged forest plots are 17.5 and 3.53, respectively.
The mean and standard deviation for 9 logged plots are 13.66 and 4.5, respectively.
Calculating estimate of standard deviaton:
[tex]S_{p}=\sqrt{\frac{(12-1)(3.53)^{2}+(9-1)(4.5)^{2}}{12+9-2} }[/tex]
[tex]S_{p}=\sqrt{\frac{299.07}{19} }[/tex]
[tex]S_{p}=[/tex] 15.74
The difference between means is
[tex]x_{1}-x_{2}[/tex] = 17.5 - 13.66 = 3.84
Calculating the interval:
[tex]t.S_{p}\sqrt{\frac{1}{n_{1}}+\frac{1}{n_{2}} }[/tex] = [tex]1.729.15.74.\sqrt{\frac{1}{12} +\frac{1}{9} }[/tex]
[tex]t.S_{p}\sqrt{\frac{1}{n_{1}}+\frac{1}{n_{2}} }[/tex] = [tex]27.21\sqrt{\frac{21}{108} }[/tex]
[tex]t.S_{p}\sqrt{\frac{1}{n_{1}}+\frac{1}{n_{2}} }[/tex] = [tex]27.21\sqrt{0.194}[/tex]
[tex]t.S_{p}\sqrt{\frac{1}{n_{1}}+\frac{1}{n_{2}} }[/tex] = 12
Then, interval for the difference in mean is 3.84 ± 12, which means the interval is between:
lower limit: 3.84 - 12 = -8.16
upper limit: 3.84 + 12 = 15.84
The interval is from -8.16 to 15.84.
Can someone please help me with this last one. I am totally lost and don’t understand
Answer:
g(-4) = -1
g(-1) = -1
g(1) = 3
Explanation:
If you are given a function that is defined by a system of equations associated with certain intervals of x, just find which interval makes x true, and then substitute x into the equation of that interval.
For example, given g(-4), this is an expression which is asking for the value of the equation when x = -4. So -4 is not ≥ 2, so ¼x - 1 will not be used. -4 is also not ≤ -1 and ≤ 2, so -(x - 1)² + 3 will not be used either. So in turn, we will just use -1 which is always -1 so g(-4) will just be -1, right because there is no x variable in -1 so it will always be the same.
Using the same idea as before g(-1) is g(x) when x = -1 so -1 will not be a solution because -1 is not less than -1 (< -1). -1 is not ≥ 2 either so we will be using the second equation because -1 is part of the interval -1≤x≤2 (it is a solution to this inequality), therefore -(x - 1)² + 3 will be used.
As x = -1, -(x - 1)² + 3 = -(-1 - 1)² + 3 = -(-2)² + 3 = -4 + 3 = -1.
It is a coincidence that g(-1) = -1.
Now for g(1), where g(x) has an input of 1 or the value of the function where x = 1, we will not use the first equation because x = 1 → x < -1 → 1 < -1 [this is false because 1 is never less than -1], so we will not use -1.
We will use -(x - 1)² + 3 again because 1 is not ≥ 2, 1≥2 [this is also false]. And -1 ≤ 1 < 2 [This is a true statement]. Therefore g(1) = -(1 - 1)² + 3 = -(0)² + 3 = 3
Two similar triangles are in the ratio 2:3. If the sides of the bigger triangle are 15 units, 12 units and 9 units, then the length of the shortest side of the smaller triangle is
a. 8 units
b. 6 units
c. 9 units
d. 5 units
It is 6 units because if you divide 9 by 3 you get 3 and you multiple that by 2 to make it 6:9 which is equal to 2:3
To protect your town from a possible zombie invasion, your city council decides to build a wall. The Waters Proposal suggests building a wall 20 feet tall that the would weigh approximately 43275 tons. A second proposal, the Barrett Proposal, says that 20 feet is too short, and the wall in the Waters Proposal is also not long enough or thick enough to keep out zombies. He suggests scaling up the wall, i.E increasing all the dimensions of the wall by the same percentage. Under this plan, the height of the wall would be 34 feet tall and the new perimeter would be 9809 feet long. What would the perimeter of the wall under the Waters Proposal be? feet.
Answer:
5770 feet
Step-by-step explanation:
The height of the wall under the Waters proposal is 20 feet and the height of the wall under the Barrett proposal is 34 feet and its perimeter is 9809 feet. Since there is an increase in the dimensions of the wall, we find this percentage increase.
So, the percentage increase in the height of the wall is thus (New height - Old height)/Old height × 100%
New height = 34 feet and Old height = 20 feet
So, Percentage increase = (New height - Old height)/Old height × 100% = (34 ft - 20 ft)/20 ft × 100 % = 14/20 × 100% = 7/10 × 100% = 70 % increase.
Since all the dimensions increase by the same amount, the perimeter in the Waters proposal increases by 70% to the perimeter in the Barrett proposal.
Let P = perimeter in the Waters proposal and P' = perimeter in the Barrett proposal.
So, the percentage increase in perimeter is
(P' - P)/P × 100 % = 70 %
We now find P
(P' - P)/P = 70%/100%
(P' - P)/P = 0.7
P' - P = 0.7P
P' = 0.7P + P
P' = 1.7P
P = P'/1.7
So, substituting the value for P' = 9809 feet
P = P'/1.7
= 9809 ft/1.7
= 5770 feet
So, the perimeter of the wall under the Waters Proposal is 5770 feet.
Solve the linear equation -3x+3=12
A 2-column table with 5 rows. Column 1 has entries x, x, x, x, Total 100 percent. Column 2 has entries 5 dollars, 5 dollars, 5 dollars, 5 dollars, Total 20 dollars. Mia bought a poster that was discounted $5 from an original price of $20. Which equation models how Mia can find the percent of discount? $5 = x ?- $20 $5($20) = x $5 = $20(x) $5(x) = $20
Answer:
c
Step-by-step explanation:
Find the range of the function y =-x^2-3x when the domain {-5, 0, 2}
Answer:
Range: [−94,∞),{y∣y≥−94}
Answer:
5
Step-by-step explanation:
Li is making beaded necklaces. For each necklace, she uses 34 spacers, plus 7 beads per inch of necklace length. Write an equation to find how many beads Li needs for each necklace, where x is the length, in inches, of the necklace. The equation that represents this situation is y =
Answer: Y = 7x+34
Explanation : if there are 7 beads per inch that means that for every inch there are 7 more beads. and the 34 for is an unchangeable factor that stays the same throughout the equation
Answer:
7x+34
Step-by-step explanation:
PLZ HELP, ILL GIVE BRAINLIEST! CAPTURE BELOW
Answer:
5 and no
Step-by-step explanation:
i belive
Find the measure of angle a and b?
The correct answer of this question is;
A=(2x+4)
=2×37+4
=78
B=(2x-9)
=2×37-9
=65
Step-by-step explanation:
(2x+4)+(2x-9)+x=180(The sum of all angle of a triangle is 180°)
or,5x-5=180
or,5x=185
or,x=185/5
Therefore the value of x=37.
simplify like terms 2x-5x
Answer:
-3x
Step-by-step explanation:
Subtract 2 from 5
Hope this helped, Have a great day!!
Answer:
-3x
Step-by-step explanation:
Combine like terms. Like terms are terms with the same amount of variables. Note that both terms (2x & -5x) both have one x in all.
Subtract the coefficients:
2x - 5x = -3x
-3x is your answer.
~
At a school fete, Nicole buys 5 books and 2 CDs for $50, and Sharyn buys 2 books and 3 CDs for $31. Find the price of
i. A book
ii. A CD
Answer:
Book = $8 each
CD = $5 each
8 x 5 = 40
2 x 5 = 10
= 50
8 x 2 = 16
5 x 3 = 15
= 31
Please mark as brainliest.
Answer:
One book equals $8 and one CD equals $5
Step-by-step explanation:
Let books be denoted as 'x' and CDs as 'y'
5x + 2y = 50 ...1
2x + 3y = 31 ...2
I usually eliminate the y variable, and to do this, you multiply the first equation by 3 and the second equation by 2, because the lowest common multiple between 2 and 3 is 6.
...1*3 and ...2*2
15x + 6y + 150 ...3
4x + 6y = 62 ...4
Eliminate y by taking ...4 away from ...3
15x - 4x = 150 - 62
11x = 88
x = 8
Sub this value into ...1
5(8) + 2y = 50
40 + 2y = 50
Rearrange
2y = 50 - 40
2y = 10
y = 5
This means that one book is $8 and one CD equals $5
Write the letter of the correct answer on your answer sheet. If your answer is not found among
the choices, write the correct answer.
For items 1-5, refer to the graph at the right.
____1. Which of the following could be the equation of the parabola?
A. = ( − 2)2 + 1 C. = ( + 1)2 + 2
B. = ( + 2)2 + 1 D. = ( − 1)2 + 2
____2. Determine the y- intercept of the graph?
A. = −5
C. = 5
B. = −3
D. = 3
____3. What is the range of the parabola?
A. {:≥1}
C. {:≥ -1}
B. {:≤1}
D. {:≤ -1}
____4. What is the axis of symmetry of the graph?
A. x = 2
C. y = 2
B. x = 1
D. y = 1
____5. What is the vertex of the parabola?
A. (-2, -1)
C. (2, 1)
B. (-2, 1)
D. (2, -1)
____6. Describe the graph of () = −2 + 6 − 24
A. Opens to the right
C. Opens to the left
B. Opens upward
D. Opens downward
____7. What is the y-intercept of the parabola defined by the equation = ( + 2)2?
A. -4
B. -2
C. 2
D. 4
____8. What is the minimum value of the graph of the quadratic function = 2 + 4?
A. -4
B. -2
C. 2
D. 4
____9. What is the vertex of the parabola having the equation y = (x – 3)2 + 1?
A. (3, -1)
B. (-1, 3)
C. (1, 3)
D. (3, 1)
____10. What is the vertex form of the equation =2−4+7?
A. =(−2)2−3
C. =(+2)2−3
B. =(−2)2+3
D. =(+2)2+3
____11. The equation of the axis of symmetry of the function = −22 + 5 is____.
A. x = 5
C. − 4
3
B. x= -2
D. 5
4
____12. Which of the following equations of parabola has a wider opening? A. y = 1
4
2
C. y = 3x2 B. y = 1
2
2
D. y = 5x2
____13. Determine the equation of the resulting graph when the parabola with the equation
y = x2 + 3, is shifted 4 units downward.
A. y = x2 – 4
C. y = x2 + 1
B. y = x2 – 1
D. y = x2 + 7
For items 14-15, refer to the graph at the right.
____14. Which of the following could be the equation of the parabola?
A. = −2 + 5
C. = 2
2
+ 5
B. = − 2
2
= 5
D. = 2 + 5
____15. What is the vertex of the parabola?
A. V(-5, 0)
C. V(0, 5)
B. V(0, -5)
D. V(5, 0)
Answer:
Hello dear asker, you have to put the picture of the graph, then I would be happy to help
So if Stacy has 2 dollars in her account. She deposits 6 dollars in her bank account each week. Model this situation as a linear function and graph.
Answer: 2 + 6x
Step-by-step explanation:
i cannot do the graph here but you just have to put the amount deposited in this instance as the variable and you got your answer
Answer:
2+6
Step-by-step explanation:
Kiran says that 11 ¼ < -12.7 Do you agree with Kiran? Explain or show your reasoning.
Answer:
No it is false... Because negative number are smaller than positive number however possible numbers were very small
Answer:
No it is false... Because negative number are smaller than positive number however possible numbers were very small
Step-by-step explanation:
WILL GIVE EXTRA POINTS
Assignment name: solving angles pairs
Answer:
x = 26
Step-by-step explanation:
Alternate exterior angles are always congruent
3x - 8 = 70
Add 8 to both sides;
3x = 78
Divide both sides by 3;
x = 26
Malique wants to take four of his friends to a movie. He knows it is $7.50 for
a ticket and $3.25 for popcorn. How much will it cost if he pays for the
movie and a popcorn for all five people? Explain your answer.
Answer:
$16.25
Step-by-step explanation:
7.50
+7.50
+7.50
+7.50
+7.50
36.50
then you have to do 3.25 *5=16.25
GUYS PLZ HELP MATH CLASS THIS QUESTION IS WORTH 15 #)
Answer:
option b is the correct answer
225 feet for 3 minutes
for 1 minute, 225/3
=75
MONEY Sadie has $22.75 in her school lunch account. If she wants the money to last for this 5-day week of school, determine the appropriate
amount she should spend each day. $________?
I’m confused
Answer:
The most she can use in a day is $4.55.
Step-by-step explanation:
The explanation is simple.
22.75 divided by 5 = 4.55
Mark as Brainliest!
Answer:
$4.55
Step-by-step explanation:
All you do is take the total amount Sadie has right now and divide it by how many days it needs to last.
$22.75/5=$4.55
So Sadie can only spend $$.55 a day for the 5 days.
√4x+1=3
How do I answer thid
Answer:
1
Step-by-step explanation:
√4x+1=3
√4x = 3 - 1
√4x = 2
squaring both sides,
(√4x)² = 2²
4x = 4
x = 4/4
x = 1
Evaluate the expression (10 x 7} + (10 - 6).
10 times 7 = 70
10 - 6 = 4
70 + 4 = 74
Answer:
70x+4
Step-by-step explanation:
simplify the expression
tip: u can use mäthwäy next time ;) its really helpful
Combine like terms:
12a + 3b - 4a + 19 - b
Answer: 8a + 2b + 19 is the answer
Answer:
= 8a +2b + 19
Step-by-step explanation:
Combine Like Terms:
(12a + −4a) + (3b + −b) + (19)
=8a + 2b + 19
solve each equation by substitution
1, y=6x+14
6x+5y=-2
2 y=-2x-2
y=-4x+4
3, x-5y=-20
7x+3y=12
i need the equation too
Step-by-step explanation:
here it is.Hope it helps
Plz help and explain
Answer:
p(x) = (x-a)(x-b)(x-7) - a and b can be whatever you want, any real numbers
Step-by-step explanation:
If you plug in 7, you need to multiply the other two numbers by 0, which will result in 0. There are 3 factors since it must be a 3rd degree polynomial
Hope this helps! Please give brainliest!
For which equation is m = 10 a solution?
Answer:
incomplete question
Step-by-step explanation: