Answer:
father = 32 s = 5 y/o
Step-by-step explanation:
f s = 160 ====> s = 160/f
f+4 = 4 ( s+4)
f + 4 = 4 (160/f +4)
f + 4 = 640/f + 16
f^2 + 4f = 640 + 16 f
f^2 -12f - 640 = 0 Use Quadratic formula to find f = 32 then s = 5
Given two independent events A and B, the probability of both event A and event B occurring is equal to the probability of A plus the probability of B. Please Explain.
Answer:
Step-by-step explanation:
You would add probabilities if you want to find out if one event or another could happen. For example, if you roll a die, and you wanted to know the probability of rolling a 1 or a 6, then you would add the probabilities:
Probability of rolling a 1: 1/6
Probability of rolling a 6: 1/6
So the probability of rolling a 1 or a 6 is 1/6 + 1/6 = 2/6 = 1/3.
What is the value of x?
Answer:
[tex]x = 52[/tex]
Step-by-step explanation:
Step 1: Create an expression
[tex]2x + 76 = 180[/tex]
Step 2: Subtract 76 from both sides
[tex]2x + 76 - 76 = 180 - 76[/tex]
[tex]2x = 104[/tex]
Step 3: Divide both sides by 2
[tex]\frac{2x}{2} = \frac{104}{2}[/tex]
[tex]x = 52[/tex]
Answer: [tex]x = 52[/tex]
Answer:
x = 52
Step-by-step explanation:
the 2 inside angles add up to 180 degress since they lie on the same side on the transversal line. so we set the eqaution up:
2x+76=180
2x=104
x=54
39-42 Differentiate [tex]f[/tex] and find the domain of [tex]f\text{.}[/tex]
39. [tex]f(x)=\frac{x}{1-\ln (x-1)}[/tex]
[tex]\text{Given that,}\\\\f(x) = \dfrac x{1- \ln (x-1)}\\\\\\f'(x)=\dfrac{(1- \ln(x-1))-x\cdot \left(0-\dfrac 1{x-1} \right)}{(1- \ln(x-1))^2}\\\\\\~~~~~~~~= \dfrac{(x-1)(1- \ln(x-1))+x}{(x-1)(1-\ln(x-1))^2}\\\\\\~~~~~~~~= \dfrac{x-x\ln(x-1)-1+\ln(x-1)+x}{(x-1)(1-\ln(x-1))^2}\\\\\\~~~~~~~~= \dfrac{2x-1-(x-1)\ln(x-1)}{(x-1)(1-\ln(x-1))^2}\\[/tex]
[tex]\text{domain f(x):} ~\{x|x > 1, x\neq e+1 \}[/tex]
in a significance test of one population mean if vairance of population is unknown but the sample size is 30 or more we use z test why?
The student T distribution would be used since we don't know the population variance (by extension the population standard deviation).
However, if n > 30, then the student T distribution is going to look very similar to the standard normal Z distribution. It won't be a perfect match, but it'll be close enough that it's more simple to use the Z distribution. With the Z distribution, you only have one set of values and you don't have to worry about the degrees of freedom.
pls help i give lots of points
Answer:
A. trapezoid
Step-by-step explanation:
edge 2022
On a motor trip, Mr. Williams covered 2/6 of his total trip distance by driving 388 miles. The total distance to be covered in miles
is:
A. 1,438
B. 1,164
C. 1,382
D. 1,218
Answer:
B
Step-by-step explanation:
2/6 x d = 388
d = 388 x 6/2 = 1164 m
Answer:
The total distance covered in miles is B, 1164 miles.
Step-by-step explanation:
Since we know that 2/6 of his total trip distance is 388 miles we can do 388 / 2/6 = 1164. Therefore, his total trip distance is 1164 miles.
suppose the acceleration function of an object moving along a line is given by a(t) =0.2t. find the position of the object if you know the initial velocity was v(0) =-3 and initial position was s(0) =1
Answer:
See below
Step-by-step explanation:
sf = s0 + v0 t + 1/2 at^2
1 + (-3)t + 1/2 (.2t) t^2 ( weird acceleration value)
s = 1 -3t + .1 t^3 You will need a 't' value to determine the position
sare sold in packs and boxes.
holds 20 tissues and a box holds 120 tissues.
s P packs of tissues and boxes of tissues.
ys a total of tissues
own a formula for Tin terms of P and B.
Answer:
[tex]derivative n thof \: sin2x [/tex]
2. Calculate the mean of the following
sample:
20, 15, 22, 13, 14, 18, 19, 11, 23, 17
Answer choices:
16.8
17.2
17.6
Answer:
what is mean: mean is the "average" of a set of numbers and it is calculated by adding up the values given and dividing by the total number of values given.
Step-by-step explanation:
formula: addition of all values divided by the number of values given.
total number of values given = 10 ( count each number as one )
so ..
20+15+22+13+14+18+19+11+23+17 = 172
divided by 10
= 17.2 ( decimal)
or 17 whole number 1/5 ( mixed fraction )
or 86/5 ( improper fraction ).
Hope this helps.
Good luck .
what is the primeter of 420 area with 5 m side
23 points see attachment below
Answer:
-3
Step-by-step explanation:
The top left box on the x axis is negitive 3
Determine whether each relation is a function.
Answer:
yes
Step-by-step explanation:
yes
each input (x) has exactly one output (y)
in other words
it passes the vertical line test
The three angles inside of a triangle add up to HOW MANY degrees?
180
90
360
120
Answer:
180
Step-by-step explanation:
This is 180 because the specific angles in a triangle will unless an irregularly shaped triangle will equal up to 180.
Maths. Please Help. Will Be Rewarded
Answer:
see explanation
Step-by-step explanation:
under a reflection in the x- axis
a point (x, y ) → (x, - y ) , then
(3, 4 ) → (3, - 4 )
(3, 1 ) → (3, - 1 )
(5, 1 ) → (5, - 1 )
Answer:
Points would be (3,-1) (5,-1) (3,-4)
Step-by-step explanation:
So its asking for a reflection on the x-axis, which means you simply take the shape and move the points to the same spot on the other side of the boldest horrizontal line, or in other words, you can just add a negative to the y variable in the points, because the rule is (x,-y).
Write the following equation symbolically
7 divided by x is less than 8 times y
Answer:
7/x < 8y
Step-by-step explanation:
7/x < 8y
This is what the new and original figures are when a dilation occurs. This is for a crossword puzzle with 14 spaces. please answer this correctly. 20 points worth
Answer:
the 6th option is yore answer! hope this helps:))
Q.
(5sin 87° + tan 72° - sec 5°) / (cot 18° - cosec 85°+ 5cos 3°)
[tex]\dfrac{5 \sin 87^{\circ} + \tan 72^{\circ} - \sec 5^{\circ}}{\cot 18^{\circ}-\csc 85^{\circ}+5\cos 3^{\circ}}\\\\\\=\dfrac{5\sin\left(90^{\circ}-3^{\circ} \right) + \tan\left(90^{\circ}-18^{\circ} \right)-\sec\left(90^{\circ}-85^{\circ} \right)}{\cot 18^{\circ}-\csc 85^{\circ}+5\cos 3^{\circ}}\\\\\\=\dfrac{5\cos 3^{\circ} + \cot 18^{\circ}-\csc 85^{\circ}}{\cot 18^{\circ}-\csc 85^{\circ}+5\cos 3^{\circ}}\\\\\\=1[/tex]
which matrix is equal to ( -6 -6.5 1.7 2 -8.5 19.3 )
The matrix that is equal to the considered matrix [-6,-6.5,1.7; 2, -8..5, 19.3 ] is given by: Option D: [-6,-6.5,1.7; 2, -8..5, 19.3 ]
When are two matrices called being equal?Two matrices are equal if and only if their shapes are same, and they've got the same elements for each corresponding row and column positions.
The missing options are specified in the image attached below.
The considered matrix is:
[tex]\left[\begin{array}{ccc}-6&-6.5&1.7\\2&-8.5&19.3\end{array}\right][/tex]
It has 2 rows and 3 columns.
Evaluating each of the options:
Option A and B are wrong as they've got 3 rows and 2 columns, which makes their shape not matching with the shape of the considered matrix.
Option C although has got 2 rows and 3 colums, but its elements are not matching with corresponding elements of the considered matrix.
Option D has 2 rows and 3 colums and its each element matches with the corresponding element of the considered matrix. (ie, for example, element common in first row and first column in option D is -6, and so as for the considered matrix, and similarly, all correspoding elements for each row and column is same in both matrices.)
Thus, the matrix that is equal to the considered matrix [-6,-6.5,1.7; 2, -8..5, 19.3 ] is given by: Option D: [-6,-6.5,1.7; 2, -8..5, 19.3 ]
Learn more about matrices here:
https://brainly.com/question/13430728
#SPJ1
Answer:
D hope u get good grade
Step-by-step explanation:
edge 2023
What is the volume, in cubic meters, of a cylinder with a height of 3 meters and a base radius of 4 meters, to the nearest tenths place?
Answer: If I did it correctly it should be 150.8
Step-by-step explanation:
The formula for the volume of a cylinder is height x π x (diameter / 2)2, where (diameter / 2) is the radius of the base (d = 2 x r), so another way to write it is height x π x radius2.
Hope this helps!
Richard has completed 24 problems in a math review packet. He has finished 60% of the packet.
Answer:
40 problems.
Step-by-step explanation:
I am assuming you are asking what the total number of problems is.
24*100 is 2400
2400/60 is 40
59. If [tex]\lim _{x \rightarrow 1} \frac{f(x)-8}{x-1}=10,[/tex] find [tex]\lim _{x\rightarrow1}f(x)\text{.}[/tex]
Answer:
[tex]\large\lim_{x\rightarrow 1} f\left( x\right)=8[/tex]
Step-by-step explanation:
[tex]\lim_{x\rightarrow 1} \frac{f\left( x\right) -8}{x-1} =10[/tex]
[tex]\lim_{x\rightarrow 1} f\left( x\right) -8=10\times \lim_{x\rightarrow 1}\left( x-1\right)[/tex]
[tex]\lim_{x\rightarrow 1} f\left( x\right) -8=10\times\left( (1)-1\right)[/tex]
[tex]\lim_{x\rightarrow 1} f\left( x\right) -8=10\times\left( 0\right)=0[/tex]
[tex]\lim_{x\rightarrow 1} f\left( x\right) -8=0[/tex]
[tex]\lim_{x\rightarrow 1} f\left( x\right) =8[/tex]
Please help I’m not really good at math
Answer:the answer would be equal to.
Step-by-step explanation:
help i need big brain answers!!!! At what position on the number line is the red dot located?
Answer:
it is 57
Step-by-step explanation:
Answer:
A. √57
Step-by-step explanation:
√47 would be off the number line because it's below the number 7
√65 would be past 8 but the red dot comes before the number 8
√72 would be past 8 as well and it would be past √65 but the dot is before number 8
This leaves our answer as √57 beause the square root of 57 is 7.549 (etc.) which is between the numbers 7 and 8, while also being slightly higher than 7.5 :)
Have a good day!
A hose fills a hot tub at a rate of 4.39 gallons per minute. How many hours will it take to fill a 350-gallon hot tub?
Answer:
1.33 hours(If it doesn't let you type that in, just do 1 hour for rounding purposes)
Step-by-step explanation:
First, we take the 350 gal variable and divide that by 4.39, we now get 79.73
Now, we convert that into hours(60mins per hour), so 79.73 divided by 60.
We get 1.33, which is your answer!
If you deposit $50 in checks in your account with $100 cash amount, what is your total deposit?
can somebody help me please
NO LINKS
Answer:
The function is C(d) = 0.69d+25.95. The equation will be 0.69(57)+2595.
for the last question 0.69d+25.95 = 57, so 0.69d = 31.05, so d is 45
The max distance you can drive with 120 dollars is 45 miles.
the force needed to break a board varies inversely with its length. If tom uses 20lb of pressure to break a 1.5 -ft board, how many pounds of pressure would he need to use to break a 6 -ft board
[tex]\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{"f" varies inversely with "L"}}{f=\cfrac{k}{L}}\qquad \textit{we also know that} \begin{cases} f=\stackrel{lbs}{20}\\ L=\stackrel{ft}{1.5} \end{cases} \\\\\\ 20=\cfrac{k}{1.5}\implies 30=k~\hfill \boxed{f=\cfrac{30}{L}} \\\\\\ \textit{when L = 6, what is "f"?}\qquad f=\cfrac{30}{6}\implies f=5[/tex]
4. Jean borrows $12,000 for 8 years at 6% interest. What is the approximate cost of
the loan? What is Jean's approximate total cost? What is Jean's approximate
monthly payment?
Pls solve!!!
A lot is 60 m by 38 m. A house 32 m by 9 m is built on the lot. How much area is left over?
Answer:
1992
Step-by-step explanation:
60x38=2280
32x9=288
2280-288=1992
Hope it helps!
Simplify the expression.
Answer:
3
Step-by-step explanation:
((7x-4)^2) - (7x-4)(7x-4) + 3
(7x-4)(7x-4) is 7x-4^2
So its (7x-4)^2 - (7x-4)^2 + 3
(7x-4)^2 cancel out.
Answer is 3