Answer:
Step-by-step explanation:
Given the expression of the speed satisfying the equation |S-60|≤17.5
The inequality expression will return both a negative and positive value.
For the positive value of the function;
S-60 ≤17.5
S ≤17.5+60
S ≤ 77.5
For the negative value of the function;
-(S-60) ≤17.5
-S+60 ≤17.5
-S ≤17.5 -60
-S ≤ -42.5
multiply through by -1
S≥42.5
Hence the minimum speed limit is S≥42.5 while the maximum is S ≤ 77.5
ffffddfrgrghhhhhhmedeeeeffff
If you use 2 cups of sugar for every 3 cups of lemon juice how many cups of sugar do you need for 9 cups of juice
Answer:
6 cups of lemon juice
Step-by-step explanation:
Which inequality relates BC and XY?
Answer:
BC>XY
Step-by-step explanation:
BCs angle is less than XYs angle
Triangle ABC has vertices A(-3,0) B(0,6) C(4,6). Find the equations of the three medians of triangle ABC
Triangle ABC has vertices A(-3,0) B(0,6) C(4,6). Find the equations of the three altitudes of the same triangle
Triangle ABC has vertices A(-3,0) B(0,6) C(4,6). Find the equations of the three perpendicular bisectors of the same triangle.
Answer:
1.[tex]y=-6x+6, y=\frac{6}{5} x+\frac{18}{5}, y=\frac{6}{11} x+\frac{42}{11}[/tex]
2.[tex]y=-\frac{1}{2} x+2\frac{1}{4} , x=2, y=-\frac{7}{6}x+\frac{43}{12}[/tex]
Step-by-step explanation:
A(−3, 0), B(0, 6), and C(4, 6)
using the midpoint formula: [tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex] we can find all of their midpoint which is necessary to complete question 1 and 2
Mid AB=(-1.5, 3), Mid BC=(2, 6), Mid AC=(0.5,3)
Next, we have to find the slope of from the vertex and the midpoint of each side. We use the slope formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].
You would get -6, 6/5, and 6/11.
Next you substitute in the coordinates for the equation of each for example: y=-6x, you switch in the set of cords AB which is (-1.5, 3). 3=-6(-1.5)+z and find that z=6, so the equation is y=-6x+6. As for the rest, repeat the same process until you find all 3 cords. You should get an answer of [tex]y=-6x+6, y=\frac{6}{5} x+\frac{18}{5}, y=\frac{6}{11} x+\frac{42}{11}[/tex]
For question 2,
The line has to be perpendicular bisector to the midpoint, signifying that it has to split 2 angles into congruent angles and a side into half. In order to do that we need to first find the opposite reciprocal of each side's slope. Which means we need to once again use the slope formula and get the opposite reciprocal by [tex]-\frac{1}{slope}[/tex]. For all the opposite reciprocal slopes you get will be incorporated into the final formulas. That gives us the slopes of -1/2, 0 and -7/6. Then do the same process of matching cords with these incomplete equations and you can find the final equations of [tex]y=-\frac{1}{2} x+2\frac{1}{4} , x=2, y=-\frac{7}{6}x+\frac{43}{12}[/tex]
I hope that helped with your question!! :)
Also I'm an RSM student too and I didn't know how to do them before so I searched it up.
After eating at your favorite restaurant, you know that the bill before tax is
$52.60 and that the sales tax rate is 6%. How much will you pay in taxes for
this meal?
Answer:
$3.16
Step-by-step explanation:
6% x $52.60 = $3.16 (2dp)
Topic: Percentage
If you like to venture further, please give my Instagram page a follow (learntionary). I'll be constantly posting math tips and notes! Thanks!
Sorry if it’s blurry it’s hard to take pictures of a computer screen lol im not very good at this subject in math so all help is appreciated :D
Answer:
If they are similar triangles then the ratio AE:BE equals the ratio DE:BCThe ratio AE:BE can be written as the fraction [tex]AE:BE=\frac{AE}{BE}= \frac{9cm}{BE}[/tex] The ratio DE:BC can be written as the fraction [tex]DE:BE=\frac{DE}{BE}=\frac{6cm}{16cm} =\frac{3}{8}[/tex] [tex]AE:BE=DE:BC\\\frac{9cm}{BE}=\frac{3}{8} \\BE*3=8*9cm\\BE*3=72cm\\BE=24cm[/tex]The first 3 terms of n+7
Answer:
First 3 terms of the sequence are:
8,9,10
Step-by-step explanation:
The nth term of a sequence is n+7 .
We have to find the first three terms of the sequence
First term(n=1) = 1+7 =8
Second term(n=2) = 2+7 =9
Third term(n=3) = 3+7 =10
Hence, first 3 terms of the sequence are:
8,9,10
A 25% tip was paid on a $30 meal.what is the amount of the tip
Answer:
$7.50
Step-by-step explanation:
When a pentagonal spinner is spun, it lands on one of 1, 2, 3, 4, or 5. If this spinner is spun
twice, what is the probability of it landing on even numbers on both the occasions?
A) 4/25
B) 6/25
C) 1/5
D) 9/25
Please help me
Answer:
1/5
Step-by-step explanation:
Rosa spent $11.52 on 8 candy necklaces for each of her two friends. How much did each necklace cost?
Answer:
£1.44
Step-by-step explanation:
11.52/8=1.44
:)
Answer:
I think the answer is $1.44 each necklaces
Step-by-step explanation:
We know the total amount is $11.52 and there were 8 candy necklaces, so you divide 11.52 by 8 and that gives you 1.44
If sin tetha=root3/2, what is cos tetha?
Answer:
The value of cos Ф is ± [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
There are important rules for sin Ф and cos Ф
sin²Ф + cos²Ф = 1sin²Ф = 1 - cos²Фcos²Ф = 1 - sin²Ф∵ sin Ф = [tex]\frac{\sqrt{3}}{2}[/tex]
∴ sin²Ф = [tex](\frac{\sqrt{3}}{2})^{2}[/tex]
∴ sin²Ф = [tex]\frac{3}{4}[/tex]
→ By using the third rule above
∵ cos²Ф = 1 - sin²Ф
∴ cos²Ф = 1 - [tex]\frac{3}{4}[/tex]
∴ cos²Ф = [tex]\frac{1}{4}[/tex]
→ Take square root for both sides
∴ cos Ф = ± [tex]\frac{1}{2}[/tex]
∴ The value of cos Ф is ± [tex]\frac{1}{2}[/tex]
A family wants to make a %20 down payment on a house that cost 200,000 what is the amount of the down payment
Answer:
40
Step-by-step explanation:
Select the correct answer. What is the factored form of 24y5 + 3y?? A. 3y2(2y- 1)(4y2 + 2y + 1) B. 3y2(2y + 1)(4y2 - 2y + 1) C. (2y + 1)2(4y2 - 2y+ 1) D. (2y-1)2(4y2 + 2y + 1)
Answer
3y^2\left(2y\:+\:1\right)\left(4y^2\:-\:2y\:+\:1\right)
Step-by-step-explanation
Answer:
I think the answer is b the person who answered may have worded it weird but from trying to read it it looks like b so
Describe the shape of the distribution.
O A. It is uniform.
B. It is bimodal.
O C. It is symmetric.
D. It is skewed.
Answer:
The shape of a distribution is described by its number of peaks and by its possession of symmetry, its tendency to skew, or its uniformity. (Distributions that are skewed have more points plotted on one side of the graph than on the other.) PEAKS: Graphs often display peaks, or local maximums.
Answer: It is Skewed
Step-by-step explanation: More positive space than negative. So it is positively skewed.
Can someone help I don’t know the answer
PLS HELP!!
What is x
Answer:
2
Step-by-step explanation:
Find the slope of the linear function.
Step-by-step explanation:
Identify the slope, m. This can be done by calculating the slope between two known points of the line using the slope formula. (or just count and plug it into rise over run format)
Find the y-intercept. This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b.
A digital clock displays military time in hh:mm format. Find the probability that the number made up of the first two digits on the clock is less than 25.
Answer:
0
Step-by-step explanation:
there is a maximum of 24 hours in a day and the highest we can have is 23:59.. it's impossible for it to be the 25th hour in a day
S
T
80°
70
Find the measure of RST.
A)
20
B)
30°
40°
D)
60°
Answer:
D
Step-by-step explanation:
If its right let me know I think this is right
Lauren has a balance of $60 in your checking account. She spends $80 a day for 3 days vacationing at the beach. What is Laurens new balance in her checking account after her vacation?
Based on Lauren's spending patterns and the balance in her account, her new balance must be an overdraft of $180.
Lauren Balance after Vacation
Her balance after the vacation can be found as:
= Balance before vacation - ( Amount spent)
= 60 - ( 80 x 3)
= 60 - 240
= -$180
In conclusion, she will have a bank overdraft of $180.
Find out more about bank overdrafts at https://brainly.com/question/8283687.
Which equation represents table 1
Which equation represents table 2
Which equation represents table 3
Which equation represents table 4
Which equation represents table 5
Answer:
1 y=3x 2 y=38x 3 y=202x 4 y=2x 5 y=16x
Step-by-step explanation:
Answer:do yo use I’ll need help
Step-by-step explanation:
A store has been selling 200 DVD burners sold per week at 400 each. A market survey indicates that for each $ 20 rebate offered to buyers, the number of units sold will increase by 40 a week. Find the demand function and the revenue function. How large a rebate should the store offer to maximize its revenue
Answer:
The answer is "50".
Step-by-step explanation:
Let,
[tex]\to p(200) = 400[/tex]
If we assume the $20 reduction would raise the number of items sold to $40 so the increment is (x - 200) if x is the number of units sold.
[tex]\to (\frac{1}{40}) \times 20 = 0.5[/tex]
[tex]\to D(x) = 400 - 0.5 \times ( x - 200 ) \\\\ \ and \\ \to R(x) = x \times (D(x) \\\\[/tex]
[tex]= x \times [ 400 - 0.5\times ( x - 200 )]\\\\ = x\times[400 - 0.5x - 100]\\\\= x\times [300 - 0.5 x]\\\\= 300x - 0.5 x^2[/tex]
[tex]R(x)= 300x- \frac{1}{2} x^2\\\\R'(x)=300-x\\[/tex]
if R'(x)=0
x=300
if 0 < x < 300 and R(x) > 0 then R(x) for maximum x is = 300
[tex]D(300) = 400 - 0.5\times ( x - 200 )\\\\[/tex]
[tex]= 400 - 0.5\times ( 300- 200 )\\\\ = 400 - 150+ 100\\\\ = 500 - 150 \\\\=350[/tex]
The rebate must be : 400 - 350 = 50
HELP HELP
Yesterday,
5
of the 64 students in a contest gave their speeches. How many students gave their speeches?
8
Heights were measured for a random sample of 10 plants grown while being treated with a particular nutrient. The sample mean and sample standard deviation of those height measurements were 46 centimeters and 7 centimeters, respectively. Assume that the population of heights of treated plants is normally distributed with mean μ. Based on the sample, can it be concluded that μ is different from 45 centimeters? Use the 0.05 level of significance.
Answer:
The calculated value t = 0.452< 2.2621 at 0.05 level of significance
null hypothesis is accepted
Based on the sample, can it be concluded that μ is not different from 45 centimeters
Step-by-step explanation:
Step( i ):-
Heights were measured for a random sample of 10 plants
Size of the sample 'n' = 10
Mean of the sample (x⁻ ) = 46 centimeters
Standard deviation of the sample (s) = 7 centimeters
Mean of the Population ( μ ) = 45
Step(ii):-
Null Hypothesis :H₀:( μ ) = 45
Alternative Hypothesis : H₁: μ ) ≠ 45
Test statistic
[tex]t = \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }[/tex]
[tex]t = \frac{46-45}{\frac{7}{\sqrt{10} } }[/tex]
t = 0.452
Degrees of freedom
γ = n-1 = 10 -1 = 9
t₀.₀₅ = 2.2621
The calculated value t = 0.452< 2.2621 at 0.05 level of significance
null hypothesis is accepted
Based on the sample, can it be concluded that μ is not different from 45 centimeters
Valerie bought a coat at a winter half-price sale. A sales tax of $6.24 was added to the sale price, bringing the cost of the coat to $84.24. Which of the following equations would give the original price ( p ) of the coat?
Answer:
84.24 - 6.24 = p
Step-by-step explanation:
A band expects to put 16 songs on their next CD. The band writes and records 12.5% more songs than they expect to put on the CD. During the editing process,50 % of the songs are removed. How many songs will there be on the final CD?
HELP ME OUT REAL FAST WITH THE CORRECT ANSWER WILL MAKE BRAINLIST
Answer:
1
Step-by-step explanation:
Answer:
B. 1
Step-by-step explanation:
The quotient will have 1 decimal place because one of the numbers in the calculation has one decimal place, and the answer is only allowed to be as exact as the numbers used in the equation.
To make sure the answer is correct, we can do the math:
170.8/14 = 12.2
12.2 only has one decimal place, so answer choice B is correct.
Hope this helps :)
A 20-inch-long piece of rope is approximately 0.5 meters long.
What is the length, in inches, of a rope that is 2.5 meters long, rounded to the nearest tenth? Enter the answer in the box.
inches
Answer:
100 inches
Step-by-step explanation:
Given
20 inch ≈ 0.5 m
Required
Determine the equivalent of 2.5m in inches
The question illustrated conversion between units of same measurements.
And we have that:.
20 in ≈ 0.5 m
Which can be rewritten as:
0.5 m ≈ 20 in
To solve further, we multiply both sides by 5
0.5 m * 5 = 20 in * 5
2.5 m ≈ 100 in
Hence, we can conclude that the 2.5m rope is approximately 100 inches long
The 2.5m rope is approximately 100 inches long
We have to given that,
20 inch ≈ 0.5 m
And, To Determine the equivalent of 2.5m in inches.
Since, It is illustrated conversion between units of same measurements.
And we have that;
20 in ≈ 0.5 m
Which can be rewritten as:
0.5 m ≈ 20 in
we multiply both sides by 5
0.5 m x 5 = 20 in x 5
2.5 m ≈ 100 in
Hence, we can conclude that the 2.5m rope is approximately 100 inches long.
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ6
27% of all college students major in STEM (Science, Technology, Engineering, and Math). If 47 college students are randomly selected, find the probability that
a. Exactly 13 of them major in STEM.
b. At most 12 of them major in STEM.
c. At least 9 of them major in STEM.
d. Between 8 and 15 (including 8 and 15) of them major in STEM.
Answer:
0.12995
0.47508
0.0841
0.738
Step-by-step explanation:
Given that:
Percentage of STEM (p) = 27% = 0.27
Sample size (n) = 47
Using Normal approximation :
Mean (m) = n*p = 47 * 0.27 = 12.69
Standard deviation (s) = √(n*p*q)
q = 1 - p = 1 - 0.27 = 0.73
Standard deviation (s) = √(47*0.27*0.73) = 3.04
a. Exactly 13 of them major in STEM.
P(12.5 < x < 13.5)
USing the z formula :
(x - m) / s
(12.5 - 12.69) / 3.04 < x (13.5 - 12.69) / 3.04
-0.0625 < z < 0.2664
Using the z probability calculator:
P(Z < - 0.0625) = 0.47508
P(Z < 0.2664) = 0.60503
0.60503 - 0.47508
= 0.12995
b. At most 12 of them major in STEM.
P(X ≤ 12.5)
Zscore = (x - m) / s
Zscore = (12.5 - 12.69) / 3.04
Zscore = −0.0625
P(Z ≤ - 0.0625) = 0.47508
c. At least 9 of them major in STEM.
P(X ≥ 8.5)
Zscore = (x - m) / s
Zscore = (8.5 - 12.69) / 3.04
Zscore = −1.378
P(Z ≤ - 1.378) = 0.0841
d. Between 8 and 15 (including 8 and 15) of them major in STEM.
(8.5 - 12.69) / 3.04 < x (15.5 - 12.69) / 3.04
-1.378 ≤ z ≤ 0.924
Using the z probability calculator:
P(Z ≤ 0.924) = 0.82226
P(Z ≤ - 1.378) = 0.084102
0.82226 - 0.084102
= 0.738
Indicate whether the lines are parallel, perpendicular, or neither. Justify your answer. y=52x-3 and 2y= -5x
-4 2x+8y= -24and 48y = -12x-144
2x-7y= -56and 7x+2y=8