Answer: 21
Step-by-step explanation:
My teacher just did it
Helpppppppppppp!!!!!!!!!
If you apply the changes below to the absolute value parent function f(x) = |x|, which of these is the equation of the new function
• shift 4 units to the left
• shift 6 units up .
Answer: D
Step-by-step explanation:
Try to draw the X and Y axis: When you shift the function to left it translates as going to the left of the X axis. So what you want is that every value of X on the parent function to correspond to the same x value minus four.
You can apply the same logic to get the + 6
Write each of the following numbers to 3 significant figures in exponential or scientific notation. Write each number with only one non-zero digit before the decimal point.
(i) 5590
(ii) 0.000498
(iii) 135000
(iv) 0.000438
Solution :
The significant figure of a number are defined as the positional notation of that number which are most reliable and are absolutely necessary to represent the quantity of something.
In the context, we have to express the given numbers into three significant figures in the form of scientific notation or in the exponential form :
(i). 5590 ----- [tex]$5.59 \times 10^3$[/tex]
(ii). 0.000498 ----- [tex]$4.98 \times 10^{-4}$[/tex]
(iii) 135000 ----- [tex]$1.35 \times 10^5$[/tex]
(iv) 0.000438 ----- [tex]$4.38 \times 10^{-4}$[/tex]
The Graduate Management Admission Test (GMAT) is used by many graduate schools of business as one of their admission criteria. Using your own reasoning and concepts, criticize each of the following conclusions.
Statements
a. "Last year, 7,573 computer science majors took the GMAT, compared with only 588 philosophy majors. Philosophy majors must not be interested in business because so few take the GMAT."
b. "Last year, 29,688 engineering majors took the GMAT, compared with only 3,589 English majors. Clearly, more students major in engineering than in English."
c. "Last year, physics majors averaged 100 points higher on the GMAT than marketing majors. If marketing students majored in physics, they would score better on the GMAT."
d. "On average, physics majors score higher on the GMAT than accounting majors. Therefore, physics majors would make the best managers."
Answer:
Ideez
Step-by-step explanation:
9. Mariah has 28 centimeters of reed
and 37/100 meters of reed for weaving
baskets. How many meters of reed
does she have? Write your answer as a
decimal and explain your answer. (The first time time I asked I forgot to put the 37/100)
Answer:
0.65m
Step-by-step explanation:
28cm is equal to 0.28m
37/100 is 37% of a metre so 0.37m
0.28 + 0.37 = 0.65m
r=4+7x-sx
I need help so any one can help with this
List all the elements of the following set. Use set notation and the listing method to describe the set. The set of all counting numbers less than or equal to 2. Express the set using set notation and the listing method. (Use a comma to separate answers as needed. Use ascending order.)
Answer:
different question
Step-by-step explanation:
question is wrong
Can someone please answer this
Answer:
Tisco: 12 for £5.16
Azda: 12 for £5.04
Azda has the better value.
Step-by-step explanation:
Tisco: 3 for £1.29
Multiply both numbers by 4.
12 for £5.16
Azda:
4 for £1.68
Multiply both numbers by 3.
12 for £5.04
Azda has the better value.
1. The area of a square is less than 25cm2. What can we say about
a. The length of one of its sides?
b. Its perimeter?
Step-by-step explanation:
Let us take a nominal square of area 25 cm².
It's length of one of it's sides will be √25 = 5 cm².It's perimeter will be 5*4 = 20 cm.So, in this question, we can say that:-
a. The length of one of its sides will be less than 5 cm.
b. Its perimeter will be less than 20 cm.
Hope it helps :)
Step-by-step explanation:
area= 25cm squared
length of one side = 5cm as 5*5 =25
perimeter= 5*4= 20cm
But since the area is less than 25cm squared
we can say that the length of one side is less than 5cm and we can also say that the length of the perimeter is less than 20cm.
Hope this helps.
If F(x)=|x+2|+x+2, Find f(-7)
PLEASE HELP!!
A closed, rectangular-faced box with a square base is to be constructed using only 36 m2 of material. What should the height h and base length b of the box be so as to maximize its volume
Answer:
[tex]b=h=\sqrt{6}[/tex] m
Step-by-step explanation:
Let
Bas length of box=b
Height of box=h
Material used in constructing of box=36 square m
We have to find the height h and base length b of the box to maximize the volume of box.
Surface area of box=[tex]2b^2+4bh[/tex]
[tex]2b^2+4bh=36[/tex]
[tex]b^2+2bh=18[/tex]
[tex]2bh=18-b^2[/tex]
[tex]h=\frac{18-b^2}{2b}[/tex]
Volume of box, V=[tex]b^2h[/tex]
Substitute the values
[tex]V=b^2\times \frac{18-b^2}{2b}[/tex]
[tex]V=\frac{1}{2}(18b-b^3)[/tex]
Differentiate w. r.t b
[tex]\frac{dV}{db}=\frac{1}{2}(18-3b^2)[/tex]
[tex]\frac{dV}{db}=0[/tex]
[tex]\frac{1}{2}(18-3b^2)=0[/tex]
[tex]\implies 18-3b^2=0[/tex]
[tex]\implies 3b^2=18[/tex]
[tex]b^2=6[/tex]
[tex]b=\pm \sqrt{6}[/tex]
[tex]b=\sqrt{6}[/tex]
The negative value of b is not possible because length cannot be negative.
Again differentiate w.r.t b
[tex]\frac{d^2V}{db^2}=-3b[/tex]
At [tex]b=\sqrt{6}[/tex]
[tex]\frac{d^2V}{db^2}=-3\sqrt{6}<0[/tex]
Hence, the volume of box is maximum at [tex]b=\sqrt{6}[/tex].
[tex]h=\frac{18-(\sqrt{6})^2}{2\sqrt{6}}[/tex]
[tex]h=\frac{18-6}{2\sqrt{6}}[/tex]
[tex]h=\frac{12}{2\sqrt{6}}[/tex]
[tex]h=\sqrt{6}[/tex]
[tex]b=h=\sqrt{6}[/tex] m
In isosceles △HAM, m∡A =32°, . What is m∠H?
32°32 degrees
58°58 degrees
74°74 degrees
148°
Answer:
32°
Step-by-step explanation:
in 32° is right answer
In isosceles triangle, △HAM, m∠H is 74 degree.
What is isosceles triangle?A triangle in which any two sides are equal in length and angles opposite to equal side are also equal. And sum of all angles in a triangle is 180.
Given, m∠A = 32°
sum of all angles = 180°
In △HAM
∠H = ∠M
∠H+ ∠A+ ∠M = 180°
2∠H = 180 - 32
2∠H = 148
∠H = 74°
To learn more about isosceles triangle here
https://brainly.com/question/10147636
#SPJ2
Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an answer does not exist, enter DNE.)
f(x) = x² + 5x – 2
relative maximum
(x, y) = DNE
relativo minimum
(x, y) =
Answer:
Relative minimum: [tex]\left(-\frac{5}{2}, -\frac{33}{4}\right)[/tex], Relative maximum: [tex]DNE[/tex]
Step-by-step explanation:
First, we obtain the First and Second Derivatives of the polynomic function:
First Derivative
[tex]f'(x) = 2\cdot x + 5[/tex] (1)
Second Derivative
[tex]f''(x) = 2[/tex] (2)
Now, we proceed with the First Derivative Test on (1):
[tex]2\cdot x + 5 = 0[/tex]
[tex]x = -\frac{5}{2}[/tex]
The critical point is [tex]-\frac{5}{2}[/tex].
As the second derivative is a constant function, we know that critical point leads to a minimum by Second Derivative Test, since [tex]f\left(-\frac{5}{2}\right) > 0[/tex].
Lastly, we find the remaining component associated with the critical point by direct evaluation of the function:
[tex]f\left(-\frac{5}{2} \right) = \left(-\frac{5}{2} \right)^{2} + 5\cdot \left(-\frac{5}{2} \right) - 2[/tex]
[tex]f\left(-\frac{5}{2} \right) = -\frac{33}{4}[/tex]
There are relative maxima.
A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than examine the records for all students, the dean randomly selects 200 students and finds that 118 of them are receiving financial aid. If the dean wanted to estimate the proportion of all students receiving financial aid to within 1% with 90% reliability, how many students would need to be sampled
Answer:
6546 students would need to be sampled.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
The dean randomly selects 200 students and finds that 118 of them are receiving financial aid.
This means that [tex]n = 200, \pi = \frac{118}{200} = 0.59[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
If the dean wanted to estimate the proportion of all students receiving financial aid to within 1% with 90% reliability, how many students would need to be sampled?
n students would need to be sampled, and n is found when M = 0.01. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.01 = 1.645\sqrt{\frac{0.59*0.41}{n}}[/tex]
[tex]0.01\sqrt{n} = 1.645\sqrt{0.59*0.41}[/tex]
[tex]\sqrt{n} = \frac{1.645\sqrt{0.59*0.41}}{0.01}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.645\sqrt{0.59*0.41}}{0.01})^2[/tex]
[tex]n = 6545.9[/tex]
Rounding up:
6546 students would need to be sampled.
Rewrite in simplest terms: (9x+5)-(-2x+10)(9x+5)−(−2x+10)
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { 18 {x}^{2} - 69x - 55}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] = (9x + 5) - ( - 2 x+ 10)(9x + 5) - ( - 2x + 10)[/tex]
[tex] = (9x + 5) + 2x (9x + 5) - 10(9x + 5) - ( - 2x + 10)[/tex]
[tex] = 9x + 5 + 18 {x}^{2} + 10 x- 90x - 50 + 2x - 10[/tex]
Collect the like terms.
[tex] = 18 {x}^{2} + (9x + 10x- 90x + 2x) + (5 - 50 - 10)[/tex]
[tex] = 18 {x}^{2} + (21x - 90x) +(5 - 60)[/tex]
[tex] = 18 {x}^{2} - 69x - 55[/tex]
[tex]\boxed{ Note:}[/tex][tex]\sf\pink{PEMDAS\: rule.}[/tex]
P = Parentheses
E = Exponents
M = Multiplication
D = Division
A = Addition
S = Subtraction
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]
Which of the following are exterior angles?
[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]
↦∠ 3, ∠ 2, ∠ 6, ∠ 5 are the exterior angles in this figure.
Step-by-step explanation:↦ They aren't located inside the figure like ∠ 1 & ∠ 4, so they are exterior angles.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
The MD orders 50mg of an elixir to be given every 12 hours. Available is 125mg/5ml. How much should be administered every 12 hours?
Answer:
2ml
Step-by-step explanation:
50mg of some potent agent has to be given every 12 hours.
there is a solution that has a concentration of that agent of 125mg/5ml
we need to administer some part of this solution, which we cannot (or should not) change in its structure.
that means the ratio of agent to overall solution stays the same, no matter how much of the solution we administer.
all we need to do is to transit the ratio of 125/5 to represent 50/x (maintaining the said ratio).
in other words, we need to find how many ml we need to administer, so that 50mg of the agent enter the body.
so,
125/5 = 50/x
125x/5 = 50
25x = 50
x = 50/25 = 2
2ml of the solution needs to be administered every 12 hours.
20. (06.07 )
The graph below plots the values of y for different values of
20
15
10
5
5
Which correlation coefficient best matches the data plotted on the graph? (1 point)
-0.5
0
0.25
0.90
Are the arcs below congruent?
B
120°
G
1139
не
0
0
4
A. No, because the arcs do not have the same measure.
B. There is not enough information to determine.
C. Yes, because the central angles are the same.
D. Yes, because they are both minor arcs.
By
Answer:
A. No, because the arcs do not have the same measure.
Step-by-step explanation:
Two arcs can be said to be congruent when the length measure of the two arcs are the same and not necessarily the degree measure. This implies that two arcs can have the same degree measure measure but their length may not be the same.
If two arcs have the same measure in one circle, therefore we can say they are congruent or if they have the same measure in congruent circles respectively, they are congruent.
In the two circles given above, although we are not told if both circles are congruent, however, since both arcs have different degree measure, both arcs cannot be congruent.
Work out m and c for the line:
y – 37 = 5
Answer:
first thing is y - 35 = 5
then y = 35 + 5 because when = come here - will be + and
then we should do+ y=40 answer
(x+2)(x+3)(x+4)x(+5)-48
Answer:
(12+2)(15+3)(9+4)(2+5)-48
=4
4 pts
>
Question 2
The total number of students enrolled in MATH 123 this semester is 5,780.
If it increases by 0.28% for the next semester, what will be the enrollment
next semester? Round to a whole person.
4 pts
Question 3
Answer:
17
Step-by-step explanation:
So, this is a percentage problem.
Start off by finding how many students 0.28% is:
If 100% = 5780
0.01% = 0.578
Now:
0.01% = 0.578
0.28% = 16.184
The exercise tells you to round for a whole person, so 16.184 turns 17
And that's the answer!
Aaron used ordinary electrical wire to connect the lights around the new factory. He ended up using 3 entire spools of wire, which totaled 1,380 feet. What is the number of feet of wire contained on one spool, written as a ratio? Type your ratio using a : between the numbers
Answer:
There are 460 feet of wire contained on one spool.
Step-by-step explanation:
Since Aaron used ordinary electrical wire to connect the lights around the new factory, and I have ended up using 3 entire spools of wire, which totaled 1,380 feet, to determine what is the number of feet of wire contained on one spool, written as a ratio, the following calculation must be performed:
1380/3 = X
460 = X
So there are 460 feet of wire contained on one spool.
Tyler and Elena are on the cross country team. Tyler’s distances and times for a training run are shown on the graph. Elenas distances and times for a training run are given by the equation y=8.5x, calculate Tyler’s pace per minute
Answer:
8.2 miles per minute
Step-by-step explanation:
Given
See attachment for graph
Required
The rate of Tyler's graph
This means that we calculate the slope (m) of the graph using:
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]
So, we have:
[tex](x_1 ,y_1) = (0,0)[/tex]
[tex](x_1 ,y_1) = (1,8.2)[/tex]
So, we have:
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]
[tex]m = \frac{0 - 8.2}{0 - 1}[/tex]
[tex]m = \frac{-8.2}{- 1}[/tex]
[tex]m = 8.2}[/tex]
I need help nowww!! 16 points
Answer:
A: x = 0
B: x = All real numbers
Step-by-step explanation:
A.
Any number to the power of (0) equals one. This applies true for the given situation; one is given an expression which is as follows;
[tex](6^2)^x=1[/tex]
Simplifying that will result in;
[tex]36^x=1[/tex]
As stated above, any number to the power of (0) equals (1), thus (x) must equal (0) for this equation to hold true.
[tex]36^0=1\\x=0[/tex]
B.
As stated in part (A), any number to the power (0) equals (1). Therefore, when given the following expression;
[tex](6^0)^x=1[/tex]
One can simplify that;
[tex]1^x=1[/tex]
However, (1) to any degree still equals (1). Thus, (x) can be any value, and the equation will still hold true.
[tex]x=All\ real \ numbers[/tex]
would someone mind looking over my answers to geometry!!
Answer:
Question 1: x = 6
Question 2: Correct!
Question 3: x = 11
Question 4: Correct!
Step-by-step explanation:
Question 1:
Angle 22x - 2 DOESN'T equal 50 degrees. Only Alternate Interior Angles will equal each other. These two angles are Same Side Interior Angles, meaning if you added them together, they would equal 180 degrees.
Knowing that adding 22x - 2 and 50 will equals 180 degrees, here's how we solve for x:
First, subtract 50 from 180 to find what angle 22x - 2 will equal:
180 - 50 = 130
130 = 22x - 2
Now use basic algebra to solve for x:
130 = 22x - 2
(add 2 to both sides)
132 = 22x
(divide both sides by 22)
x = 6
Question 3:
Angle 5x + 15 DOESN'T equal 9x + 11. They make up a line, which is 180 degrees, so they are supplementary angles.
With that in mind, to solve for x, add the two equations and set it equal to 180:
5x + 15 + (9x + 11) = 180
Now use basic algebra to solve for x:
5x + 15 + 9x + 11 = 180
(add like terms)
14x + 26 = 180
(subtract 26 from both sides)
14x = 154
(divide 14 from both sides)
x = 11
Hope it helps (●'◡'●)
Please help ASAP!!!! Thank you !!
Answer:
Hereeeeeeeeeeeeeeeee
Michael wants to buy some new exercise equipment for his home gym for 372,000 financial at an annual interest rate of 12% using the add on method. If michael wants to pay off the loan in 2 years. What will be his monthly payment?
Step-by-step explanation:
the answer of this question will be 88,800
Answer:
Step-by-step explanation:
There are 3 boxes of coins. There are 4 times as many coins in Box A as in Box B. There are 180 fewer coins in Box C than Box A. The number 2 of coins in Box B is of the total number of coins in the three boxes. 13 What is the total number of coins in the three boxes?
Answer:
Step-by-step explanation:
The answer b
Brian, the gorilla, was planning a party for his zoo friends. He sent his elves Jamie and Nancy into the North Pole exhibit to count the penguins and reindeer. Jamie said there were 40 legs and Nancy said there were 14 heads. How many penguins and reindeer were in the exhibit?
Answer:
There are 8 penguins and 6 reindeers.
Step-by-step explanation:
Since Brian, the gorilla, was planning a party for his zoo friends, and he sent his elves Jamie and Nancy into the North Pole exhibit to count the penguins and reindeer, and Jamie said there were 40 legs and Nancy said there were 14 heads To determine how many penguins and reindeer were in the exhibit, the following calculation must be performed:
Penguins: 1 head and 2 legs
Reindeers: 1 head and 4 legs
40 - (14 x 2) = X
40 - 28 = X
12 = X
12/2 = 6
14 - 6 = 8
8 x 2 + 6 x 4 = X
16 + 24 = X
40 = X
Therefore, there are 8 penguins and 6 reindeers.
Please help
Find the value of x if,
m∠5 = x-6, m∠4 = 2x+4, m∠2 = 2x-26
Answer:
Step-by-step explanation:
we are given the angles ∠5 , ∠4 , ∠3 , but with one variable, "X" :)
also we are told ∠AOC is bisected by OB , meaning that ∠1 = ∠2
and the EC is perpendicular to OD , so ∠4+∠5=90°
since we are given ∠4 & ∠5, lets use that to solve for "X"
:)
90= x-6 + 2x+4
90= 3x -2
92 =3x
30[tex]\frac{2}{3}[/tex] ° = x
30.6666666666666666 ° = x