Answer: b) {-3, 0.5}
Step-by-step explanation:
The new equation is the original equation plus 6. Move the original graph UP 6 units. The solutions are where it crosses the x-axis.
[tex]\text{Original equation:}\quad f(x)=\dfrac{15}{x}-\dfrac{9}{x^2}\\\\\\\text{New equation:}\quad\dfrac{15}{x}+6=\dfrac{9}{x^2}\\\\\\.\qquad \qquad f(x)= \dfrac{15}{x}-\dfrac{9}{x^2}+6[/tex]
+6 means it is a transformation UP 6 units.
Solutions are where it crosses the x-axis.
The curve now crosses the x-axis at x = -3 and x = 0.5.
Explain how to get the volume of this figure
Answer:
350 meters cubed.
Step-by-step explanation:
If you visualize it, there are two rectangular prisms: one flat one on the top, and one large one on the bottom.
The width of the top one is 5 meters. The length is 7 meters. The height is 8 - 5 = 3 meters. So, one prism has a volume of 5m x 7m x 3m.
The width of the bottom one is 7 meters. The length is 7 meters. The height is 5 meters. So, the bottom prism has a volume of 7m x 7m x 5m.
(5 * 7 * 3) + (7 * 7 * 5)
= (35 * 3) + (49 * 5)
= 105 + 245
= 350
So, the volume of the figure is 350 meters cubed.
Hope this helps!
I need help please answer ASAP Have a good explination.
Will give brainliest
Answer and Step-by-step explanation:
When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.
Now let's solve by using this statement..
1. Yes they are, cause they have excatly the same three sides and excatly the same three angles.
2. no they are not, cause they do not have excatly the same three sides and excatly the same three angles.
3. Yes they are, cause they have excatly the same three sides and excatly the same three angles.
4. Yes they are, cause they have excatly the same three sides and excatly the same three angles.
5. Yes they are, cause they have excatly the same three sides and excatly the same three angles.
6. Yes they are, cause they have excatly the same three sides and excatly the same three angles.
Hope this helped... If yes plz mark as BRAINLIEST and follow me.
Tysmm!!!
Peter walked 10m from X to Y on bearing 020° and then he turned and walked 20m to Z with bearing 140° of Z from Y. Find the distance between X and Z. Find the bearing of Z from X.
Answer:
17.32m ; 110°
Step-by-step explanation:
Distance between X and Z
To calculate the distance between X and Z
y^2 = x^2 + z^2 - (2xz)*cosY
x = 20, Z = 10
y^2 = 20^2 + 10^2 - (2*20*10)* cos60°
y^2 = 400 + 100 - (400)* 0.5
y^2 = 500 - 200
y^2 = 300
y = sqrt(300)
y = 17.32m
Bearing of Z from X:
Using cosine rule :
Cos X = (y^2 + z^2 - x^2) / 2yz
Cos X = (300 + 100 - 400) / (2 * 20 '*10)
Cos X = 0 / 400
Cos X = 0
X = cos^-1 (0)
X = 90°
Bearing of Z from X
= 20° + X
= 20° + 90°
= 110°
Is 5.7c-1.5+3.2c=7.8c-1.5+1.1c a one solution problem?
Answer:
This is NOT a one solution problem.
Step-by-step explanation:
Group all terms with a c in it to the left of the equal sign, and group all numbers to the right of the equal sign.
5.7c-1.5+3.2c=7.8c-1.5+1.1c
5.7c + 3.2c - 7.8c - 1.1c = - 1.5 + 1.5
8.9c - 8.9c = 0
0 = 0
No matter which number you substitute for c, it will always be true. Since you can find infinity of solutions, this is NOT a one solution problem.
II NEED HELP!!!!!!!! Are the graphs of the lines in the pair parallel? Explain. y = 2/3x– 17 4x – 6y = –6 4x-6y=-6 Yes, since the slopes are the same and the y-intercepts are the same. A )No, since the y-intercepts are different. B)No, since the slopes are different. C)Yes, since the slopes are the same and the y-intercepts are different.
Answer:
A
Step-by-step explanation:
Scarlett Squirrel teaches a hula dancing class to young squirrels. 141414 squirrels showed up to class on Monday, 101010 squirrels on Tuesday, 888 squirrels on Wednesday, 101010 squirrels on Thursday, and 121212 squirrels on Friday. Find the mean number of the squirrels
Answer:
93107
Step-by-step explanation:
add all of the numbers together
divide by 5 since there are 5 numbers
you would get 92106.8
so round that up since you cannot have 1/8 of a squirrel
Hope this helps!!
MATH PLEASE HELP ME. WILL GIVE BRAINLIEST
Answer:
The answer is - 17Step-by-step explanation:
g(x) = 2x³ - 3x + 5
To find g(- 2) substitute the value of - 2 into g(x)
That's
g(- 2) = 2(-2)³ - 3(-2) + 5
= 2(-8) - 3(2) + 5
= - 16 - 6 + 5
= - 17Hope this helps you
In a class Vidya ranks 7th from the top. Divya
is 7 ranks ahead of Medha and 3 ranks
behind Vidya. Sushma who is 4th from the
bottom is 32 ranks behind Medha. How many
students are there in the class?
Answer:
52 students
Step-by-step explanation:
From the question above, we have the following information:
a) Vidya ranks 7th from the top.
Mathematically,
Vidya = 7th student
b) Divya 3 ranks behind Vidya.
Divya = Vidya + 3
Hence, Mathematically:
Divya = 7 + 3 = 10
Divya = 10th student
c) Also, Divya is 7 ranks ahead of Medha.
Mathematically,
Medha = 10 + 7= 17
Medha= 17th student
d)Sushma is 32 ranks behind Medha
Mathematically,
Sushma = Medha + 32
= 17 + 32 = 49
Sushma is the 49th student
Therefore, since, Sushma is 4th from the bottom, total number of students is:
49 + 3 = 52 students
If f(x) = -8x - 6 and g(x) = x+8 , what is (f • g) (- 7)
Answer:
hello:
Step-by-step explanation:
If f(x) = -8x - 6 and g(x) = x+8 , (f • g) (- 7)= f(g(-7))
but g(-7)=-7+8=1
(f • g) (- 7)= f(1) =-8(1)-6 =-14
dentify the type of sampling used (random, systematic, convenience, stratified, or cluster sampling) in the situation described below. A researcher selects every 890 th social security number and researcher selects every 890th social security number and surveys surveys that the corresponding corresponding person.person. nothing nothing nothing Which type of sampling did the researcher researcher use
Complete Question:
Identify the type of sampling used (random, systematic, convenience, stratified, or cluster sampling) in the situation described below;
A researcher selects every 890th social security number and surveys the corresponding person. Which type of sampling did the researcher use?
Answer:
Systematic sampling.
Step-by-step explanation:
In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.
There are various types of sampling used by researchers and these are;
1. Random sampling.
2. Convenience sampling.
3. Stratified sampling.
4. Cluster sampling.
5. Systematic sampling.
A systematic sampling is a type of probability sampling method which involves the researcher selecting or collecting data from a larger population.
Under systematic sampling method, samples are selected from an ordered (fixed) sample population at periodic interval. Therefore, numbers are assigned to every member of the population and then, the "nth" member are selected by the researcher after choosing a fixed starting point.
In this scenario, the researcher selects every 890th social security number and surveys the corresponding person.
Hence, the type of sampling used by the researcher is systematic sampling.
The perimeter of a rectangle is 141 feet, and the length is twice the width. What are the dimensions ?
Answer:
The width is 23.5 ft and the length is 47 ft
Step-by-step explanation:
The perimeter of a rectangle is given by
P = 2(l+w)
141 = 2(l+w)
The length is twice the width
l = 2w
141 = 2 ( 2w+w)
141 = 2( 3w)
141 = 6w
Divide each side by 6
141/6 = 6w/6
23.5 = w
l = 2w = 2(23.5) = 47
The width is 23.5 ft and the length is 47 ft
Answer:
[tex]\boxed{Width = 23.5 \ feet}[/tex]
[tex]\boxed{Length = 47 \ feet}[/tex]
Step-by-step explanation:
Let Length be l and Width be w
Perimeter = 2(Length) + 2(Width)
Condition # 1:
2l+2w = P
=> 2 l + 2 w = 141
Condition # 2:
=> l = 2w
Putting the second equation in the first one
=> 2(2w)+2w = 141
=> 4w + 2w = 141
=> 6w = 141
Dividing both sides by 6
=> Width = 23.5 feet
Given that
=> l = 2w
=> l = 2(23.5)
=> Length = 47 feet
7 - 5x > 3x + 31
A.X2-3 (all numbers greater than or equal to -3 will satisfy the inequality)B.xs-3 (all numbers less than or equal to -3 will satisfy the inequality)
C.X26 (all numbers greater than or equal to 6 will satisfy the inequality)
D.xs 6 (all numbers less than or equal to 6 will satisfy the inequality)
Answer: B. (all numbers less than or equal to -3 will satisfy the inequality)
Step-by-step explanation:
Hi, to answer this question we have to solve the inequality for x:
7 - 5x > 3x + 31
7-31 > 3x +5x
-24 > 8x
-24/8 > x
-3 > x
x < -3
So, the correct option is:
B. (all numbers less than or equal to -3 will satisfy the inequality)
Feel free to ask for more if needed or if you did not understand something.
HELP please!!!
Jeanie wants a $100 000 mortgage. She arranged payments for the next 15 years. The bank charges 4.8%/a interest, compounded monthly.
a) how much is each monthly payment
b) how much interest is jeanie paying?
Answer:
in one month : 13676.57/12=1139.71
the interest on 100000 is: 205148.48-100000=105148.48
Step-by-step explanation:
A=P(1+r)^t (p is the mortgage, t is the time and r is the rate)
p=100000,t=15*12 month,r=4.8%( or 0.048)
A=100000(1+0.048/12)^(12*15)
A=205148.48 (the number rounded to the nearest hundredth)
205128.48 is the amount she has to pay it after 15 years
in one year : 205128.48/15=13676.57 ( rounded to nearest hundredth)
in one month : 13676.57/12=1139.71
the interest on 100000 is: 205148.48-100000=105148.48
Sudhir bought an almirah for RS 13600 and spent RS 400 on its transportation . He sold it for RS 16800 . find the his gain percent
Answer:
His gain percent is 20%
Step-by-step explanation:
In this question, we want to find the percentage gain of the business.
We need the following parameters;
The cost price which is the sum of the amount she bought the goods + the amount spent on transport
Using the values we have in the question;
The cost price will be;
13,600 + 400 = Rs 14,000
The selling price = Rs 16,800
Mathematically the percentage gain will be;
% gain = (selling price- cost price)/selling price * 100%
% gain = (16,800-14,000)/14,000 * 100/1
% gain = 2800/14,000 * 100/1 = 1/5 * 100/1 = 20%
PLEASE HELP!!!
Rectangle EFGH is reflected across the origin and then rotated 90° clockwise about the origin, forming rectangle E″F″G″H″. What are the coordinates of rectangle E″F″G″H″?
(A.) E″ (1, –5), F″ (1, –1), G″ (4, –1), H″ (4, –5)
(B.) E″ (–1, –5), F″ (–1, –1), G″ (–4, –1), H″ (–4, –5)
(C.) E″ (–1, 5), F″ (–1, 1), G″ (–4, 1), H″ (–4, 5)
(D). E″ (5, 1), F″ (1, 1), G″ (1, 4),
H″ (5, 4)
Answer:
c.
Step-by-step explanation:
90 degrees clockwise is (x,y)-(y,-x)
Answer:
The answer is A
Step-by-step explanation:
Took the test
Can someone please help me?
Answer:
( - 1 , - 1 )Option D is the correct option.
Step-by-step explanation:
y = - 2x - 3 → Equation ( i )
y = 3x + 2 → Equation ( ii )
Using elimination method
y + 2x = - 3
y - 3x = 2
---------------------
5x = - 5
Divide both sides of the equation by 5
[tex] \frac{5x}{5} = \frac{ - 5}{5} [/tex]
Calculate
[tex]x = - 1[/tex]
Again, Putting the value of x in equation ( ii ) in order t get the value of y
[tex]y = 3x + 2[/tex]
plug the value of x
[tex] = 3 \times ( - 1) + 2[/tex]
Any expression multiplied by ( - 1 ) equals it's opposite
[tex] = - 3 + 2[/tex]
Calculate
[tex] = - 1[/tex]
Therefore, The possible solution of the system is the ordered pair ( x , y )
[tex](x \:, y \: ) = ( - 1 \:, - 1)[/tex]
-----------------------------------------------------------------------
Check if the given ordered pair is the solution of the system of equation
[tex] - 1 = - 2 \times ( - 1) - 3[/tex]
[tex] - 1 = 3 \times ( - 1) + 2[/tex]
Simplify the equation
[tex] - 1 = - 1[/tex]
[tex] - 1 = - 1[/tex]
Since all the equalities are true, the ordered pair is the solution of the system.
( x , y ) = ( - 1 , - 1 )Hope this helps..
Best regards!!
Which data distribution would most likely have a mean and median that are not close in value? Bar graph. The horizontal axis is unnumbered. The vertical axis is numbered 0 to 50. The first bar is 8. The second bar is 30. The third bar is 42. The fourth bar is 29. The fifth bar is 9. Bar graph. The horizontal axis is unnumbered. The vertical axis is numbered 0 to 50. The first bar is 21. The second bar is 44. The third bar is 35. The fourth bar is 45. The fifth bar is 20. A bar graph. The horizontal axis is unnumbered. The vertical axis is numbered 0 to 50. The first bar is 38. The second bar is 43. The third bar is 21. The fourth bar is 5. The fifth bar is 1.
Answer:
The third one.
Step-by-step explanation:
The last bar graph is skewed to the right, since the values of its fourth and fifth bars are way smaller than the values of its first, second, and third graphs. The drastically smaller values pull down the mean of the last bar graph, making it be more different from the median.
Comparatively, bar graphs one and two have approximately symmetrical distributions of numbers on both sides of the central bar. This means that their mean is balanced out on both sides and that neither of them is significantly skewed left or right.
A bar graph. The horizontal axis is unnumbered. The vertical axis is numbered 0 to 50. The first bar is 38. The second bar is 43. The third bar is 21. The fourth bar is 5. The fifth bar is 1 is data distribution would most likely have a mean and median that are not close in value.
We have to determine, which data distribution would most likely have a mean and median that are not close in value.
According to the question,
The mean and the median both reflect the skewing, but the mean reflects it more.
The last bar graph is skewed to the right since the values of its fourth and fifth bars are way smaller than the values of its first, second, and third graphs.
The drastically smaller values pull down the mean of the last bar graph, making it be more different from the median.
The mean and the median are the same. This example has one mode (unimodal), and the mode is the same as the mean and median.
Bar graphs one and two have approximately symmetrical distributions on both sides of the central bar.
This means that their mean is balanced out on both sides and that neither of them is significantly skewed left or right.
Hence, The horizontal axis is unnumbered. The vertical axis is numbered 0 to 50. The first bar is 38. The second bar is 43. The third bar is 21. The fourth bar is 5. The fifth bar is 1.
To know more about Probability click the link given below.
https://brainly.com/question/23044118
Need help with these last two questions, tysm if you do :D
Answer:
D.
A. x ≤ 1
Step-by-step explanation:
Well for the first question we need to simplify the inequality.
4x + 3 < x - 6
-x to both sides
3x + 3 < -6
-3 to both sides
3x < -9
Divide 3
x < -3
So if x is less than -3 than it goes to the left starting at -3.
So D. is the answer.
So to solve the floowing inequality we simplify, distribute, and combine like terms.
3(2x - 5) + 3 ≤ -2(x + 2)
6x - 15 + 3 ≤ -2x -4
6x -12 ≤ -2x - 4
8x - 12 ≤ -4
+12
8x ≤ 8
8/8
x ≤ 1
Hence the answer is A. x ≤ 1
Find the Equation of the Parallel Line
2
of
Instructions: Find the equation of the line through point (-7,2) and parallel to
= x - 1. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 1).
Y=
y =
Answer:
y = 2/5x + 4/5
Step-by-step explanation:
We'll begin by calculating the slope of the equation: y = 2/5x – 1/2
The slope of the above equation can be obtained as follow:
y = mx + c
Where m is the slope.
c is the y-intercept.
y and x are the coordinate.
Comparing:
y = 2/5x – 1/2 with y = mx + c
The slope of y = 2/5x – 1/2 is 2/5.
Now, let us determine the equation parallel to y = 2/5x – 1/2.
This is illustrated below:
The coordinate of the line => (–7, 2)
x1 = –7
y1 = 2
Slope (m) = 2/5 => Since the lines are parallel, their slope are equal.
y – y1 = m (x – x1)
y – 2 = 2/5(x – –7)
y – 2 = 2/5(x + 7)
Clear bracket
y – 2 = 2/5x + 14/5
Rearrange
y = 2/5x + 14/5 + 2
y = 2/5x + 4/5
Therefore, the equation is:
y = 2/5x + 4/5
Pls help. I rly don't understand it.
Answer:
You just need to demonstrate that the expression is not equivalent. To do that, we just need to evaluate the expression with a specific number.
[tex]\frac{3}{8}x+2 \neq \frac{3}{2}x+5[/tex]
For [tex]x=0[/tex], we have
[tex]\frac{3}{8}(0)+2 \neq \frac{3}{2}(0)+5\\2 \neq 5[/tex]
Notice that the answer is true because 2 is not equivalent to 5.
Therefore, the expression is actually non-equivalent.
What is the margin of error for 95% confidence for a sample of size 250 where p = 0.45?
A. 0.0541
B. 0.0775
C. 0.0706
D. 0.0617
Answer:
0.0617
Step-by-step explanation:
so the formula is 1.96[tex]\sqrt{\frac{p(1-p)}{n} }[/tex]
P is the proportion (.45) and n is the sample size (250). Inserting these into the problem, we get 1.96[tex]\sqrt{\frac{.45(1-.45)}{250} }[/tex]. Solving this out, you should solve the inside of the square root to get .00099. Take the square root of this, and multiply by 1.96 to get your answer!
This method applies to any problems with the same basic format. Good luck!
a fraction is such that the numerator is 2 less than the denominator if you add 3 to the numerator and 5 to the denominator the resulting fraction is 3/5 find the fraction
Answer:
The required fraction is 3/5
Answer: 3/5
Step-by-Step Explanation:
Let x represent the denominator of the fraction, then we have [tex]\dfrac{x-2}{x}[/tex]
Now add 3 to the numerator and 5 to the denominator and set it equal to 3/5:
[tex]\dfrac{(x-2)+3}{(x)+5}=\dfrac{3}{5}\\\\\\\text{Simplify:}\\\dfrac{x+1}{x+5}=\dfrac{3}{5}\\\\\\\text{Cross Multiply and solve for x:}\\5(x+1)=3(x+5)\\5x+5=3x+15\\2x=10\\x=5[/tex]
Substitute x = 5 into the original fraction:
[tex]\dfrac{(5)-2}{(5)}\quad =\large\boxed{\dfrac{3}{5}}[/tex]
NEEEED HELPPPPP PLEASEEEEEE Use long division to find the quotient below.
(8x^2 + 4x^2 + 100) - (2x + 5)
Answer:
[tex]4x^2 - 8x + 20[/tex]
Step-by-step explanation:
The correct equation is:
[tex]8x^3 + 4x^2 + 100[/tex]
We want to divide that by (2x + 5)
To do the long division, divide each term by 2x and then subtract the product of the result and (2x + 5) from the remaining part of the equation.
When you get to 0, you have reached the end of the division.
Whatever term you get from each step of division is part of the quotient.
Go over the steps above carefully while following them below:
Step 1:
Divide [tex]8x^3[/tex] by 2x. You get [tex]4x^2[/tex].
Step 2
Multiply [tex]4x^2[/tex] by (2x + 5) and subtract from [tex]8x^3 + 4x^2 + 100[/tex]:
[tex]8x^3 + 4x^2 + 100[/tex] - ([tex]8x^3 + 20x^2[/tex]) = [tex]-16x^2 + 100[/tex]
Step 3
Divide [tex]-16x^2[/tex] by 2x. You get [tex]-8x[/tex].
Step 4
Multiply -8x by (2x + 5) and subtract from [tex]-16x^2 + 100[/tex]:
[tex]-16x^2 + 100[/tex] - ([tex]-16x^2 - 40x[/tex]) = 40x + 100
Step 5
Divide 40x by 2x. You get 20.
Step 6
Multiply 20 by (2x + 5) and subtract from 40x + 100:
40x + 100 - (40x + 100) = 0
From the three steps of the division, we got [tex]4x^2[/tex], -8x and 20.
Therefore, the quotient is [tex]4x^2 - 8x + 20[/tex]
Help me please!!!!!!!!!!
Answer:
Option (4)
Step-by-step explanation:
In the picture attached,
m∠NLM = m∠LKN = 90°
In two similar triangles ΔLKN and ΔMKL,
By the property of similar triangles,
"Ratio of the corresponding sides of the similar triangles are proportional".
[tex]\frac{\text{LK}}{\text{KN}}=\frac{\text{KM}}{\text{LK}}[/tex]
By substituting the values given,
[tex]\frac{h}{3}=\frac{2}{h}[/tex]
[tex]\frac{2}{h}=\frac{h}{3}[/tex]
Therefore, Option (4) will be the answer.
PLEASE HELP ME! I will mark you as BRAINLIEST if you answer this correctly.
Answer:
0.92
Step-by-step explanation:
Each year, the value declines. This eliminates choices A and D.
The decline from 33000 to 30360 is slightly less than 10%, so the multiplier from one year to the next is slightly more than 1 -10% = 90%. The only choice in range is ...
0.92 . . . . the third listed choice
The line’s graphed below are perpendicular. The slope of the red line is -1/3. What is the slope of the green line?
Answer:
C. 3
Step-by-step explanation:
Perpendicular lines have slopes that are negative inverses of the other.
This inverse of -1/3 is -3. The negative of -3 is 3.
The slope of the perpendicular line is 3.
Need help quick quick quico
Answer:
7 batches
Step-by-step explanation:
U
480
S
d
T
b
R.
C
P
1549
Q
Answer:
a = 26°
b = 48°
c = 26°
d = 106°
Identify which of these designs is most appropriate for the given experiment: completely randomized design, randomized blockdesign, or matched pairs design.
A drug is designed to treat insomnia. In a clinical trial of the drug, amounts of sleep each night are measured before and after subjects have been treated with the drug.
The most appropriate is (randomized block, matched pairs, completly randomized) design.
Answer:
Matched pairs design
Step-by-step explanation:
Looking at the options;
-It's not a completely randomized design because a randomized design will assign all individuals to a group which in this case it doesn't.
- It's not a randomized block design because randomized block design will group the subjects in question into 2 or more blocks which have a common characteristic and will then randomly assign subjects in each of the blocks.
-It's a matched pair because every individual/subject undergoes measurements both before and after being treated with the drugs.
Thus, the correct option is matched pairs design.
sample of 64 observations is selected from a normal population. The sample mean is 215, and the population standard deviation is 15. Conduct the following test of hypothesis using the 0.025 significance level. H0: μ ≥ 220 H1: μ < 220 Is this a one- or two-tailed test? One-tailed test Two-tailed test
Answer: (upside down fancy u) q5
Step-by-step explanation:
Simply apply the law of conservative (upside down fancy u)