Answer:
[tex]5(4x-5)(4x+5)[/tex]
Step-by-step explanation:
[tex]80x^2-125= \\\\5(16x^2-25)= \\\\5(4x-5)(4x+5)[/tex]
Hope this helps!
Answer:
5( 4x-5)(4x+5)
Step-by-step explanation:
80x^2 – 125
Factor out a 5
5( 16 x^2 - 25)
Inside the parentheses is the difference of squares
5 ( (4x)^2 - 5^2)
We know the difference of squares is (a^2 - b^2) = (a-b) (a+b)
5( 4x-5)(4x+5)
plssss plsss help with math, it’s easy! explantion needed!!
Answer: (4,6)
If you multiply 2 by zero, you are left with 6. 6=6
Answer:
b
Step-by-step explanation:
Answer =(4,6)
2(4-4)+6
8 - 8 + 6
0+ 6
= 6
Can you help me please it’s a really big emergency on ratio stuffff
Answer:
the picture isnt showing for me
Step-by-step explanation:
Answer:
I think it's the first one - your picture is too blurry for me to see properly though. If you don't understand this you should probably contact your teacher - ratio is used A LOT in maths.
Point B lies between points A and C on Line segment A C . Let x represent the length of segment AB in incUse the segment to complete the statements.Hes.
Answer:
x = 5, AB = 5 inches, BC = 15 inches
Step-by-step explanation:
The segment addition postulate states that for line AC having point B between point A and point C, the distances between the point satisfy the equation:
AB + BC = AC
Given that AB = x and BC = 3x, also AC = 20 inches
AB + BC = AC
x + 3x = 20
4x = 20
Dividing through by 4:
4x/4 = 20/4
x = 5
Therefore AB = x = 5 inches, BC = 3x = 3 * 5 = 15 inches
Can someone please help me with this question?
Answer:
5 seconds
Step-by-step explanation:
In 5 seconds it will be at 98 meters
x = -b/2a
x = -20/2(-2) = -20/-4 = 5
In WXY, the measure of
Answer:
64.7 degrees
Step-by-step explanation:
9.3/4.4= 2.1136
tan^-1(2.1136)=64.7
Answer:
x = 64.7
Step-by-step explanation:
For angle X, leg XY is the adjacent leg,a nd leg YW is the opposite leg.
The trig ratio that relates the opposite leg to the adjacent leg is the tangent.
[tex] \tan A = \dfrac{opp}{adj} [/tex]
[tex] \tan X = \dfrac{9.3}{4.4} [/tex]
[tex] \tan X = 2.113636 [/tex]
[tex] X = \tan^{-1} 2.113636 [/tex]
[tex] X = 64.7^\circ [/tex]
Answer: x = 64.7
Someone pls help me!!! Will give brainliest! A survey of 1000 students found that 41% of the surveyed students were freshmen, 31% were juniors, and 67% lived on the college campus. (A) If 260 of the surveyed students were freshmen living on the college cam- pus, then how many surveyed students were either freshmen or living on campus? (B) Suppose from a previous survey you know that of interviewed juniors, only 23% live on campus. What is the probability a surveyed student is a junior or someone that lives on campus?
Answer:
(A) 560 students
(B) P = 0.41
Step-by-step explanation:
(Please check the attached picture for more details)
As given, a survey of 1000 students found that:
41% of the surveyed students were freshmen
=> 1000 x 41/100 = 410 surveyed students were freshmen
31% were juniors
=> 1000 x 31/100 = 310 surveyed students were junior
67% of surveyed students lived on the college campus
=> 1000 x 67/100 = 670 surveyed students lived on the campus
(A) 260 of the surveyed students were freshmen living on the campus
=> A = 410 - 260 = 150 surveyed students were freshmen NOT living on the campus
=> B = 670 - 260 = 410 surveyed students were not freshmen living on the campus
=> The number of surveyed students who were either freshmen or living on the campus:
N = A + B = 150 + 410 = 560
(B) From a previous survey you know that of interviewed juniors, only 23% live on campus (we don't really need this)
=>The probability a surveyed student is a junior or someone that lives on campus: P = (670 - 260)/1000 = 0.41
I hope this helps!
Tyler just lit a new candle and then let it burn all the way down to nothing. The initial length of the candle was 15 inches and the candle burned at a rate of 1.25 inches per hour. Write an equation for L,L, in terms of t,t, representing the length of the candle remaining unburned, in inches, tt hours after the candle was lit.
Answer:
15 in - (1.25 in/hr)t
Step-by-step explanation:
L(t) is a function of time, t: L(t) = 15 in - (1.25 in/hr)t
Note that when the candle has burned down to nothing, L(t) = 0. How long does that take? Set 15 in - (1.25 in/hr)t equal to zero and solve for t:
(1.25 in/hr)t = 15 in, or
15 in
t = ---------------- = 12 hrs
1.25 in/hr
Listed below are the top 10 annual salaries (in millions of dollars) of TV personalities. Find the range, variance, and standard deviation for the sample data. Given that these are the top 10 salaries, do we know anything about the variation of salaries of TV personalities in general? 42 40 39 32 21 18 16 14 13.7 12.6 The range of the sample data is $ 29.4 million. (Type an integer or a decimal.) The variance of the sample data is 145.24. (Round to two decimal places as needed.) The standard deviation of the sample data is $ 12.05 million. (Round to two decimal places as needed.) Is the standard deviation of the sample a good estimate of the variation of salaries of TV personalities in general? A. No, because there is an outlier in the sample data. B. Yes, because the sample is random. C. Yes, because the standard deviation is an unbiased estimator. D. No, because the sample is not representative of the whole populatio
Answer:
1. $29.4 million
2. 145.24
3. 145.24
4. 12.05
5. D. No, because the sample is not representative of the whole population.
Step-by-step explanation:
1. The computation of range of the sample data is shown below:-
Range of the sample data = Maximum value - Minimum value
= 42 - 12.6
= $29.4 million
2. For the computation of variance of the sample data first, we need to find out the mean which is shown below:-
Mean = [tex]\frac{(42 + 40 + 39 + 32 + 21 + 18 + 16 + 14 + 13.7 + 12.6) }{10}[/tex]
= 24.83
The Variance of the sample data
= [tex]\frac{(42 - 24.83)^2 + ..... + (12.6 - 24.93)^2}{10 - 1}[/tex]
= [tex]\frac{1307.161}{9}[/tex]
= 145.24
3. The computation of the standard deviation of the sample data is shown below:-
The Standard deviation of the sample
= [tex]\sqrt{145.24}[/tex]
= $12.05155592
or
$12.05
4. No, as the sample does not represent the whole population.
PLEASE HELP ME! I’ll give u brainlist
Answer:
Below.
Step-by-step explanation:
sin(34) = 0.5290826861 ≈ 0.5291
12 tan(63) = 2.036997025 ≈ 2.0370
5 cos(56) = 4.2661005386 ≈ 4.2661
Find the square root of: (i) 729
(ii) 1296
if anyone knows the pls help me in this
[tex]\sqrt{729} =27\\ \sqrt{1296} =36[/tex]
In this graph, the number of containers is plotted along the x-axis and the amount of water in the container is along the y-axis
Answer:
e
Step-by-step explanation:
I need help with this assignment.
Answer:
x=3
z=112
Step-by-step explanation:
9x-27 needs to be solved for x.
Set the equation equal to zero.
9x-27=0
Now add 27 to both sides.
9x=27
Divide both sides by 9
x=3
Plug 3 into 5x+53 to find the angle.
5(3)+53=15+53=68.
Since 5x+53 and Z are on the same line, that means, when added together, they equal 180 degrees. Subtract 68 from 180.
z=112
Someone answer this :)
Answer:
x=29.9 degrees
Step-by-step explanation:
Sides we are given: x and side length of 92.
Angle we are given: angle of measure 18.
Relative to the angle we are given, we have the opposite and adjacent sides, so we use TOA, as O is opposite and A is adjacent.
Tangent 18= x/92
Tangent 18 (92)=x
x=29.9 degrees
Answer:
29.9 to one decimal place
Step-by-step explanation:
To work out X you can find the missing angle by doing;
[tex]180 - (90 + 18) = 72[/tex]
Then use Sine rule to work out X;
[tex]x = \frac{92}{ \sin(72)} \times \sin(18) \\ x = 29.89261.....[/tex]
determine if each polygons are similar, if so, write the similarity statement and the similarity ratio. if not explain why.
Answer:
They are not similar
Step-by-step Explanation:
For two polygons to be considered similar, two conditions must be met:
1. The ratio of their corresponding sides must be equal, and must have the same scale factor.
2. Their corresponding angles must be the same. That is, the corresponding angles must be congruent.
Now let us examine the two polygons ( ∆AYP and ∆BOX) given to ascertain if they are similar.
First, we can observe that only two of their corresponding sides were given. The third corresponding side, "YP/OX" is not given. This makes it difficult for us to tell if the polygons are similar, if we are to base our conclusion on merely considering the ratio of their corresponding sides.
Although, the two given corresponding sides (AY/BO & AP/BX), both have equal ratio ⅖, i.e. AY/BO = AP/BX = ⅖. This is not enough to tell both polygons are similar, as we cannot tell if the third corresponding side would give us same ratio, since it wasn't given in the diagram.
==>Next is to examine the interior angles of the polygons, whether the measure of their corresponding angles are the same.
Thus, from the diagram, we can see that two angles of the each triangle were given. We can find the measure of the third angle not given since we know that sum of the interior angles of a triangle = 180°
Thus, <P in ∆AYP = 180 - (90+20) = 180 - 110
<P = 70°
Thus, <B in ∆BOX = 180 - (90+80) = 180 - 170
<B = 10°
From the above calculation, comparing both polygons having known the measures of their corresponding angles, we can conclude that both polygons given in the question are not similar.
This is because the measure of their corresponding angles are not congruent.
<A is not congruent to <B, so likewise with <P and <X.
HELP ME PLEASE WILL MARK BRAINLIEST
Answer:
Bottom Left
Step-by-step explanation:
Break up the numbers to 7, and -8.
Break up the fractions to 1/5 and -3/5.
Based on an architectural drawing, a roof slopes to a drain along the function represented in the table that defines the edge of slope, where x is the horizontal distance in feet and f(x) is the vertical distance in feet. Graph X / 0 / 20 / 40 / 80 / 160 F(x)/ 8 / 6 / 4 / 0 / 8 If the drain is at the minimum point, how far is it from the wall defined by the y-axis? 0 feet 8 feet 80 feet 160 feet
Answer:
80ft
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
I really need help asap please :( anyone know the answer ?
Answer:
see below
Step-by-step explanation:
x = kendalls money
98 = 7x
Divide each side by 7
98/7 = 7x/7
14=x
Kendall had 14 dollars
Answer:
D
Step-by-step explanation:
94 divided by 7 = 14 also
7x (x is 14) = 94
z is equal to ____ units. Side RS measures _____ units long
Answer:
the answer is
z is equal to 12 units. Side RS measures 9 units longs
Step-by-step explanation:
What is the slope of the line through the points (8, -2) and (8, -8)?
Answer:
Step-by-step explanation:
(-8+2)/(8-8)= -6/0= undefined
A salesperson is. On 50/50 split with an agency and sells a 300 acare farm at 1200 per acre. The commission schedule calls for %5 on the first $200000 3 1/2% on the next $50000 and 2% on the balance the realty company must pay the list agent %10 of the gross commission. The net amount the salesperson will receive is:
Answer: $49,950
Step-by-step explanation:
Given Data:
Land sold = 300acre
Cost of land = $1200/acre
Commission schedule = 5% on first $200,000, 3.5% on next $50,000 and 2% on the balance.
10% gross commission must be paid to the agent.
Therefore
1. Total amount generated by the agent
= Cost/acre * acre sold
= $1200 * 300
= $360,000
10% gross commission receivable by the agent
= 0.1 * $360,000
= $36,000
5% receivable for first $200,000
= 0.05 * $200,000
= $10,000
3.5% receivable on next $50,000
= 0.035 * $50,000
= $1,750
2% receivable on remaining balance
= 0.02 * $110,000
= $2,200
Net amount receivable by the salesperson
= $36,000 + $10,000 + $1,750 +$2,200
= $49,950
Melinda takes out a loan to purchase a car. The balance on her loan after x months is represented by the equation y = 10,000 – 250x and the value of the car after x months is represented by y = 8,000 – 50x. Which statement describes when Melinda’s loan will be equal to the value of the car?
Answer: Melinda’s loan will be equal to the value of the car after 10 months.
Step-by-step explanation:
Hi, to answer this question we have to equal both equations:
Melinda’s loan will be equal to the value of the car
y = y
10,000 – 250x = 8,000 – 50x
Solving for x:
10,000-8,000 = -50x+250x
2,000 = 200x
2,000/200 =x
10 = x
Melinda’s loan will be equal to the value of the car after 10 months.
Feel free to ask for more if needed or if you did not understand something.
Here is a list of what you need to make 20 buns:
180g of butter, 150g of flour, 200g of sugar and 4 eggs. Work out what you need to make 30 buns.
Answer: 270g of butter
225g of flour
300g of sugar
6 eggs
Step-by-step explanation:
the sum of 1/6, 2/3 amd 1/4 is?
Answer:
the answer is [tex]\frac{13}{12}[/tex] or 1 [tex]\frac{1}{12}[/tex]
Step-by-step explanation:
First, you have to make all the denominators the same, which is the least common multiple of the 3 numbers, (6, 3, and 4). That would be 12.
So you change all the denominators to 12, keeping in mind that whatever you multiply the denominator by, you MUST multiply by the numerator.
You will end up with 2/12+8/12+3/12. Adding those together you get 13/12, or written as a mixed number, 1 [tex]\frac{1}{12}[/tex]
Answer:
13/12
Step-by-step explanation:
I used a calculator
to crazy moderators (like gmany), I used a calculator so there is no work
Find the value of x. m∠AOC=7x−2,m∠DOC=3x+5,m∠EOD=22
Answer:
x = 15.5
Step-by-step explanation:
The three angles add to a straight line
∠AOC+<DOC+∠EOD=180
7x-2 + 3x+5 +22 = 180
Combine like terms
10x +25 = 180
Subtract 25 from each side
10x+25-25 = 180-25
10x = 155
Divide each side by 10
10x/10 = 155/10
x = 15.5
The set of points (-3, 4), (-1, 1), (-3,-2), and (-5,1) identifies the vertices of a quadrilateral. Which is the most specific description to tell which figure the points form?
parallelogram
please help
Answer:
Option (4). Rhombus
Step-by-step explanation:
From the figure attached,
Distance AB = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]
= [tex]\sqrt{(1-4)^2+(-5+3)^2}[/tex]
= [tex]\sqrt{(-3)^2+(-2)^2}[/tex]
= [tex]\sqrt{13}[/tex]
Distance BC = [tex]\sqrt{(4-1)^2+(-3+1)^2}[/tex]
= [tex]\sqrt{9+4}[/tex]
= [tex]\sqrt{13}[/tex]
Distance CD = [tex]\sqrt{(-2-1)^2+(-3+1)^2}[/tex]
= [tex]\sqrt{9+4}[/tex]
= [tex]\sqrt{13}[/tex]
Distance AD = [tex]\sqrt{(1+2)^2+(-5+3)^2}[/tex]
= [tex]\sqrt{9+4}[/tex]
= [tex]\sqrt{13}[/tex]
Slope of AB ([tex]m_{1}[/tex]) = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
= [tex]\frac{4-1}{-3+5}[/tex]
= [tex]\frac{3}{2}[/tex]
Slope of BC ([tex]m_{2}[/tex]) = [tex]\frac{4-1}{-3+1}[/tex]
= [tex]-\frac{3}{2}[/tex]
If AB and BC are perpendicular then,
[tex]m_{1}\times m_{2}=-1[/tex]
But it's not true.
[[tex]m_{1}\times m_{2}=(\frac{3}{2})(-\frac{3}{2})[/tex] = -[tex]\frac{9}{4}[/tex]]
It shows that the consecutive sides of the quadrilateral are not perpendicular.
Therefore, ABCD is neither square nor a rectangle.
Slope of diagonal BD = [tex]\frac{4+2}{-3+3}[/tex]
= Not defined (parallel to y-axis)
Slope of diagonal AC = [tex]\frac{1-1}{-1+5}[/tex]
= 0 [parallel to x-axis]
Therefore, both the diagonals AC and BD will be perpendicular.
And the quadrilateral formed by the given points will be a rhombus.
help please writer the answer as letters
Answer:
B, D, D
Step-by-step explanation:
the correct answer for A is choice B. answer choice C is correct for question B.
Step-by-step explanation:
answer choice D is correct for C.
Here are the scores of 12 students on an algebra test.
63,65,67,67,77,80,87,87,89,90,92
Notice that the scores are ordered from least to greatest.
Give the five number summary and the interquartile range for the data set.
Five number summary
Minimum:
Lower quartile:
Median:
Upper quartile:
Maximum:
Answer:
Minimum: 63
Lower quartile: 67
Median: 80
Upper quartile: 89
Maximum: 92
I hope this helped!
Jorge and Jillian have cell phones with different service providers. Jorge pays $50 a text month and $1 per text message sent. Jillian pays $72 a month and $0.12 per text message sent. How many texts would each of them have to send in order for their bill to be the same amount at the end of the month?
Answer:
When they send 25 texts each, their bills will be equal
Step-by-step explanation:
Let the number of text messages that makes their bill equal be x
Jorge will have a bill of = 50 + x(1) = 50 + x
Jillian will have a bill of = 72 + 0.12(x) = 72 + 0.12x
Since their bills will now be equal, we equate both
50 + x = 72 + 0.12x
72-50 = x-0.12x
22 = 0.88x
x = 22/0.88
x = 25 texts
What is 275 divided by 20 in lowest form? Please explain it like you would explain it to a 4 yr old cuz I’m really stupid. I keep getting 13 remainder of 15 but when I look it up it says it 13 3/4 so what do I do to go from 13 remainder of 15 to 13 3/4?
Answer: So think about it this way. 20 goes into 200 ten times, right?
After that, you have 75 left. 20 goes into 60 3 times. After that, you have 15 left.
But wait, 20 can't go into 15 as a whole. So you have to make that a fraction.
15/20. That fraction can be simplified! Divide each part by five. The you get 3/4.
So add up the times you put 20 in. First it was 10 to get to 200, then it was 3 to get to 60. Then it was 3/4 to get to 15.
Now you have 13 3/4
please mark brainliest
Solve.
5 3
+
8 4
-2 5
3 6
11
-216
12
Answer:
[tex]-\frac{11}{12}[/tex]
Step-by-step explanation:
[tex]\frac{\frac{5}{8}+\frac{3}{4}}{-\frac{2}{3}-\frac{5}{6}}[/tex]
Working on the denominator,
[tex]-\frac{4}{6}-\frac{5}{6}=\frac{-9}{6}=-\frac{3}{2}[/tex]
[tex]\frac{\frac{5}{8}+\frac{3}{4}}{-\frac{3}{2}}[/tex]
Working on the numerator,
[tex]\frac{5}{8}+\frac{3}{4}=\quad \frac{11}{8}[/tex]
[tex]\frac{\frac{11}{8}}{-\frac{3}{2}}[/tex]
[tex]-\frac{11\cdot \:2}{8\cdot \:3}=-\frac{22}{24}=-\frac{11}{12}[/tex]