Answer:
54
Step-by-step explanation:
162 divided by 3 is 54
Answer:
54 words per minute
Step-by-step explanation:
in 3 minute Rachel types 162 words
so, in 1 minute Rachel types 162words÷ 3 minutes
= 54 words per minute
4|x+3|<8 i need help asap
Answer:
-5 <x<-1
Step-by-step explanation:
4|x+3|<8
Divide by 4
4|x+3| /4<8/4
|x+3|<2
There are two solutions one positive and one negative, remember to flip the inequality for the negative
x+3 <2 and x+3 >-2
Subtract 3 from each side
x+3-3 <2-3 and x+3-3 >-2-3
x<-1 and x>-5
-5 <x<-1
Help me ASAP please people
Answer: 36
Step-by-step explanation= First let's calculate the area of the the inner rectangle so 6x4=24. Now let's add the area of the rectangle,(BY CUTTING IT INTO HALF) this part is hard but first lets add 3 cm then, 2 cm then lets add, 1 cm. So (3x2 is 6) now lets multiply that by 1, so you get 6. Multiply that by 4 it = 24 now let's add 24+24 which = 48. Hope it helps!!
Can someone help me please hurry
EASY BRAINLIEST ANSWER ASAP!!
Complete the ordered pairs, using the given equation:
4x + 3y = 12 (0, ) (-1, ) ( ,10 )
Answer:
(0, 4) (-1, 16/ 3) (-9/ 2, 10)Step-by-step explanation:
In an ordered pair the term before the comma is the x variable and the term after the comma is the y variable.
1.
4x + 3y = 12 . . . . . .(0, _)
here were given the x variable
finding the other term
4× 0 + 3y = 12
3y = 12
y = 4
therefore the ordered pair is (0, 4)
2.
. . . . . . . (-1, _)
here were given the x variable
4 × -1 + 3y = 12
3y = 12 + 4
3y = 16
y = 16/ 3
ordered pair is (-1, 16/ 3)
3.
. . . . . . . . (_, 10)
here were given the y variable
finding the other term
4x + 3 × 10 = 12
4x + 30 = 12
4x = 12 - 30
4x = -18
dividing both sides by 2
2x = -9
x = -9/ 2
ordered pair is (-9/ 2, 10)
Anyone? Ive tried and its not clicking
Answer:
Hello Bro How Are You....?
SOMEONE HELP ME PLEASE
Answer:
y = 5/2
Step-by-step explanation:
An inverse variation is of the form
xy = k where k is a constant
From the first pair of point
2*5 = k
10 = k
xy = 10
Using the second pair of points
4y = 10
Divide by 5
4y/4 = 10/4
y = 5/2
Answer:
4,3
Step-by-step explanation:
it went up two so i guess the other has to go down two?
Which proportion would you use to find what percent 6 is of 40?
Answer:
6/100 = x/40
Step-by-step explanation:
6% is represented by 6/100, x is the variable in the proportion, and 40 is the whole you are finding the percentage of
(x² - 3x)√(2x² - 3x - 2)≥0
Answer:
(-infinity, -1/2] and [3, infinity] Let e know if anything didn't make sense.
Step-by-step explanation:
A good way to think about it is a graph is either at 0, greater than 0 or less than 0. If you can find all of the zeroes then you can test each zero by checking points before and after. the graph will either cross and change signs, or stay the same.
So we want to find the zeroes.
Much like the factored form of a quadratic (x - a)(x - b) this inequality has two expressions being multiplied together, so if you can find when they are 0 you will have all the zeros. We shoudl also check when they do not exist just to be safe.
(x^2 - 3x) itself is a quadratic. so lets find its zeroes.
x^2 - 3x
x(x - 3)
So the zeroes are 0 and 3. lets find the zeroes of the other expression before checking signs.
sqrt(2x^2-3x-2) will be at 0 when the quadratic inside is at 0, and will not exist if the quadrati is negative, so let's look for both. first the 0s. I am going to complete the square
2x^2 - 3x - 2 = 0
2(x^2 - (3/2)x - 1) = 0
2[(x - 3/4)^2 - 25/16] = 0
2(x - 3/4)^2 - 25/8 = 0
2(x - 3/4)^2 = 25/8
(x - 3/4)^2 = 25/16
x - 3/4 = +/- 5/4
x = +/-5/4 + 3/4
x = -2/4 or 8/4
x = -1/2 or 2
Let me know if you couldn't follow that. Anyway, using those zeroes we can tell 2x^2 - 3x - 2 is negative between the two zeroes, since it is a parabola that opens upwards and crosses the x axis at those zeroes. this means sqrt(2x^2 - 3x - 2) does not exist from x=-1/2 and x=2. This means for the other zero above at x=0, the iequality will not exist. So now we have 3 points to look at.
-1/2 for its first 0 and where it then stops existing up to 2, which is also a 0. Finally 3 is the last 0.
at x=-1/2 all values before it are positive
x=2 has values immediately after it negative
x=3 then it switches so all values after that are positive since it is the last 0
Now we know that (x^2 - 3x) * sqrt(2x^2 - 3x - 2)is positive or equal to 0 along the intervals, (-infinity, -1/2] and [3, infinity]
Find BD , given that line AB is the angle bisector of < CAD
Answer:
23
Step-by-step explanation:
The answer is 23 by the definition of angle bisector.
Which choice shows the coordinates of C' if the trapezoid is reflected across the y-axis?
Answer:
(-5, 3)
Step-by-step explanation:
please help with the fourth part
Answer:
ofc its p/q
Step-by-step explanation:
Please help me❤️ I keep getting it wrong
Answer:
[tex] = { \tt{ \frac{30}{120} + \frac{40}{120} }} \\ = \frac{7}{12} [/tex]
Find the area of the surface generated by revolving the curve xequals=StartFraction e Superscript y Baseline plus e Superscript negative y Over 2 EndFraction ey+e−y 2 in the interval 0 less than or equals y less than or equals ln 20≤y≤ln2 about the y-axis.
Solution :
[tex]$x=f(y) = \frac{e^y + e^{-y}}{2} , \ \ \ \ \ 0 \leq y \leq \ln 2$[/tex]
[tex]$\frac{dx}{dy} = \frac{e^y + e^{-y}}{2}$[/tex]
[tex]$\left(\frac{dx}{dy}\right)^2 = \frac{e^{2y} - 2 + e^{-2y}}{4}$[/tex]
[tex]$1+\left(\frac{dx}{dy}\right)^2 = 1+\frac{e^{2y} - 2 + e^{-2y}}{4} = \frac{e^{2y} + 2 + e^{-2y}}{4}$[/tex]
[tex]$ = \left(\frac{e^y + e^{-y}}{2}\right)^2$[/tex]
[tex]$\sqrt{1+\left(\frac{dx}{dy}\right)^2} = \sqrt{\left(\frac{e^y + e^{-y}}{2}\right)^2}=\frac{e^y + e^{-y}}{2}$[/tex]
[tex]$S = \int_{y=a}^b 2 \pix \sqrt{1+\left(\frac{dx}{dy}\right)^2 } \ dy$[/tex]
[tex]$=\int_{0}^{\ln2} 2 \pi \left(\frac{e^y+e^{-y}}{2}\right) \left(\frac{e^y+e^{-y}}{2}\right) \ dy$[/tex]
[tex]$=\frac{\pi}{2}\int_{0}^{\ln 2}(e^y+e^{-y})^2 \ dy = \frac{\pi}{2}\int_{0}^{\ln 2}(e^{2y}+e^{-2y}+2) \ dy $[/tex]
[tex]$=\frac{\pi}{2} \left[ \frac{e^{2y}}{2} + \frac{e^{-2y}}{-2} + 2y \right]_2^{\ln 2}$[/tex]
[tex]$=\frac{\pi}{2} \left[ \left(\frac{e^{2 \ln 2}}{2} + \frac{e^{-2\ln2}}{-2} + 2 \ln2 \right) - \left( \frac{e^0}{2} + \frac{e^0}{-2}+0\right) \right]$[/tex]
[tex]$=\frac{\pi}{2}\left[ \frac{e^{\ln4}}{2} - \frac{e^{\ln(1/4)}}{2} + \ln 4 - \left( \frac{1}{2} - \frac{1}{2} + 0 \right) \right]$[/tex]
[tex]$=\frac{\pi}{2} \left[\frac{4}{2} -\frac{1/4}{2} + \ln 4 \right]$[/tex]
[tex]$=\frac{\pi}{2} \left[ 2-\frac{1}{8} + \ln 4 \right]$[/tex]
[tex]$=\left( \frac{15}{8} + \ln 4 \right) \frac{\pi}{2}$[/tex]
Therefore, [tex]$S = \frac{15}{16} \pi + \pi \ln 2$[/tex]
What is the equation of the line shown in the graph?
Drag and drop the expressions to write the equation of the line in slope-intercept form.
X, 2x, -X, -2x, 1, -1, -2 -4
Y=( )+( )
Answer:
y = -x -2
Step-by-step explanation:
-1 is the slope
-2 is the y-intercept
slope = [tex]\frac{-4-1}{2-(-3)}[/tex] = [tex]\frac{-5}{5}[/tex] = [tex]\frac{-1}{1}[/tex] = -1
The number 55 is attached to a two-digit number on its left, and the formed 4-digit number is divisible by 24. What could be the two-digit number? List all options.
Answer:
the answer will be 44 I think I hoped I helped if not sorry.
Step-by-step explanation:
angelA and angelB are complementary angles. If m angel = ( x-23)° and m angel B = (2x + 29°) then find the measure of angle B.
Answer:
The measure of angle B is 29°.
Add 1,249 and 594.
what is their sum rounded to the nearest hundred?
A. 700
B. 1,800
C. 1,900
Answer:
1249+592=1843, rounding that you get B, 1,800
Can someone help me with this math homework please!
Answer:
3.5
Step-by-step explanation:
From the graph,
x1 = 0
x2 = 4
y1 = 0
y2 = 14
Formula : -
Slope = ( y2 - y1 ) / ( x2 - x1 )
Slope
= ( 14 - 0 ) / ( 4 - 0 )
= 14 / 4
= 7 / 2
= 3.5
Answer:
7/2
Step-by-step explanation:
the slope of a line is the ratio of y/x.
it describes how many units y changes, when x changes a defined number of units.
an increase is indicated by "+", and a decrease by "-".
the point with full integer/natural numbers as coordinates is (4, 14).
that means that when coming from point 0 (0, 0) x increases by 4 units, and y increases by 14 units.
so, the slope of line is 14/4 = 7/2
Which point gives the y-intercept of ƒ(x) = –x2 + 4x – 3?
Answer:
A) (0,-3)
Step-by-step explanation:
to get the y-intercept let x = 0, then
y = 0 + 0 -3
y = -3
Answer:
(0,-3)
Step-by-step explanation:
The y intercept is where x=0
ƒ(x) = –x^2 + 4x – 3?
f(0) = -0^2 +4(0)-3
f(0) = -3
(0,-3)
What is the solution to this equation 1/2n^2+18=0
Answer:
n = ±6 .
Step-by-step explanation:
A quadratic equation is given to us and we need to find out the solution of the given equation . The given equation is ,
[tex]\rm\implies -\dfrac{1}{2}n^2+18=0 [/tex]
Subtracting 18 both sides ,
[tex]\rm\implies -\dfrac{1}{2}n^2 = -18 [/tex]
Multiplying both sides by -2 ,
[tex]\rm\implies -2\times\dfrac{1}{2}n^2 = -2\times -18 [/tex]
On simplyfing , we get ,
[tex]\rm\implies n^2= 36 [/tex]
Putting squareroot both sides ,
[tex]\rm\implies n= \sqrt{36} [/tex]
This equals to ,
[tex]\rm\implies \boxed{\quad\blue{\rm n =\pm 6 }} [/tex]
Hence the value of n is ±6 .
two football tickets and one basketball ticket cost $126.77. one football ticket and 2 basketball tickets cost $128.86 find the cost of each ticket
Answer:
Cost of each football ticket=$41.56
Cost of each basketball ticket=$43.56
Step-by-step explanation:
Let
Cost of each football ticket=x
Cost of each basket ball ticket=y
According to question
[tex]2x+y=126.77[/tex]...(1)
[tex]x+2y=128.86[/tex] ....(2)
We have to find the cost of each ticket.
Equation (1) multiply by 2 then we get
[tex]4x+2y=253.54[/tex] .....(3)
Now, subtract equation (2) from (3)
[tex]3x=124.68[/tex]
[tex]x=124.68/3[/tex]
[tex]x=41.56[/tex]
Now, using the value of x in equation (2)
[tex]41.56+2y=128.86[/tex]
[tex]2y=128.86-41.56[/tex]
[tex]2y=87.3[/tex]
[tex]y=87.3/2=43.65[/tex]
Hence, cost of each football ticket=$41.56
Cost of each basketball ticket=$43.56
Solve for 2. Round to the nearest tenth of a degree, if necessary.
U
9.4
xº
T
PLSSSS HELP
Step-by-step explanation:
sin x0= 7/9.4
sin x0= 0.745
x0 = sin^-1 0.745
x0= 48.2
I need help pleaseee
Since this is a right triangle, we can use one of the three main trigonometric functions: sine, cosine, tangent.
Remember: SOH-CAH-TOA
From the angle, we know the opposite side and want to figure out the adjacent side. Therefore, we should use the tangent function.
tan(35) = 6/RS
RS = 6 / tan(35)
RS = 8.6
Hope this helps!
Can someone help me with this math homework please!
Answer: f(t) = 1.5t + 5
0.5 + 1/9 show step by step and ill make you brainliest
Answer: 11/18
1. Convert 0.5 to a fraction
5/10
5/10 simplifies to 1/2
2. Add 1/2 and 1/9 by finding a common denominator
Common deniminator is 18 (2*9=18, 9*2=18)
1/2=9/18
1/9=2/18
3. Add
9/18+2/18=11/18
4. The answer is 11/18
[tex]\displaystyle\ \Large \boldsymbol 0,5+\frac{1}{9} =\frac{1^{/9}}{2} +\frac{1^{/2}}{9}=\frac{9+2}{18} =\boxed{\frac{11}{18} }[/tex]
-5(n²+9)=7.
Find n.
Answer:
Step-by-step explanation:
-5n^2-45=7--->-5n^2=52--->n^2=52÷(-5)= there is no answer for this question...I mean Paired power never has a negative answer.
Which equation is the inverse of y = 2x2 – 8?
y = plus-or-minus StartRoot StartFraction x + 8 Over 2 EndFraction EndRoot
y = StartFraction plus-or-minus StartRoot x + 8 EndRoot Over 2 EndFraction
y = plus-or-minus StartRoot StartFraction x Over 2 EndFraction + 8 EndRoot
y = StartFraction plus-or-minus StartRoot x EndRoot Over 2 EndFraction + 4
Answer:
y = (√x/2) ± 2
Step-by-step explanation:
Here, we want to get the inverse of the given function
y = 2x^2 - 8
make x the subject of the formula
y + 8 = 2x^2
Divide through by 2
y/2 + 4 = x^2
x = √y/2 ± 2
Now switch place for x and y
y = (√x/2) ± 2
Answer:
d
Step-by-step explanation:
22. If y = 1/3(x - 2), express x in terms of y A. X = 3y - 2 B. x = 3y + 2 C. x=y D. x=-Y
Answer:
B. x= 3y+2
Step-by-step explanation:
y=⅓x-⅔
⅔+y=⅓x
(⅔÷⅓)+(y÷⅓)=⅓x÷⅓
2+3y=x
One year josh had the lowest ERA (earned-run average, mean number of runs yielded per nine innings pitched) of any male pitcher at his school, with an ERA of 2.89. Also,alice had the lowest ERA of any female pitcher at the school with an ERA of 3.31 . For the males, the mean ERA was 5.083 and the standard deviation was 0.672. For the females, the mean ERA was 4.032 and the standard deviation was 0.649. Find their respective z-scores. Which player had the better year relative to their peers, josh or alice ? (Note: In general, the lower the ERA, the better the pitcher.)
Answer:
Josh's ERA had a z-score of -3.26.
Alice's ERA had a z-score of -1.11.
Due to the lower z-score(ERA is a stat that the lower the better), Josh had a better year relative to his peers.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Josh:
ERA of 2.89, mean of 5.083, standard deviation of 0.672. So
[tex]X = 2.89, \mu = 5.083, \sigma = 0.672[/tex], and the z-score is:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2.89 - 5.083}{0.672}[/tex]
[tex]Z = -3.26[/tex]
Josh's ERA had a z-score of -3.26.
Alice:
ERA of 3.31, mean of 4.032, standard deviation of 0.649. So
[tex]X = 3.31, \mu = 4.032, \sigma = 0.649[/tex], and the z-score is:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{3.31 - 4.032}{0.649}[/tex]
[tex]Z = -1.11[/tex]
Alice's ERA had a z-score of -1.11.
Which player had the better year relative to their peers, josh or alice ?
Due to the lower z-score(ERA is a stat that the lower the better), Josh had a better year relative to his peers.
Laiba, tauseef and Nadia walked 24,42 and 52 meters.What is the minimum distance that each of them can cover equally ?
Answer:
the minimum distance each of them can cover equally is 8 m.
Step-by-step explanation:
Given;
different distance covered by Laiba, tauseef and Nadia = 24 m, 42 m and 52 m
for the 24 m, distance covered by each = 24 m/3 = 8 m
for the 42 m, distance covered by each, = 42 m/3 = 14 m
for the 52 m, distance covered by each, = 52 m/3 = 17.33 m
From the results above, the minimum distance each of them can cover equally is 8 m.