if x=2,y=-3 and z=4, find the value of:
3xy/2z
Answer: -2.25
Step-by-step explanation:
We plug in the numbers.
[tex]\frac{3xy}{2z}\\= \frac{3(2)(-3)}{2(4)}\\= \frac{-18}{8}\\= -2.25[/tex]
Simplify the expression. Write your answer as a power.
[tex](5^{4} )^{3}[/tex]
Answer:
[tex]5^{12}[/tex]
Step-by-step explanation:
Lets say there's a number 'x' and there's an expression [tex](x^a)^b[/tex] where 'a' & 'b' are also numbers , the simplified form of the expression is [tex]x^{a \times b}[/tex].
So ,
[tex](5^4)^3 = 5^{4 \times 3} = 5^{12}[/tex]
Sally flipped a penny 25 times and landed on heads 16 out of the 25 times. If she plans to flip the coin 100 times,
how many times can she expect to land on heads?
Answer:
50 times
Step-by-step explanation:
Since the odds of her getting a heads is 50% (1/2) every time she flips the coin. So she should expect to get 50 heads. However this number varies practically because in every single flip there is a 50-50 chance. If she had flipped it infinitely many times then it would be exactly 50%
Find
(1) The total surface area of a closed cylindrical petrol storage tank whose diameter
4.2 m. and height 4.5 m.
(i) How much steel sheet was actually used, if 1/12
of the steel was wasted in making
of the tank. (anewer quickly and steps in order )
Answer:
The amount of steel used = 94.38 [tex]m^{2}[/tex]
Step-by-step explanation:
Height of the tank = 4.5 m.
Diameter of the tank = 4.2 m.
But,
radius = [tex]\frac{diameter}{2}[/tex]
= [tex]\frac{4.2}{2}[/tex]
radius = 2.1 m
Total surface area of a cylinder = 2[tex]\pi[/tex]rh + 2[tex]\pi[/tex][tex]r^{2}[/tex]
= 2[tex]\pi[/tex]r(r + h)
= 2 x [tex]\frac{22}{7}[/tex] x 2.1 (2.1 + 4.5)
= 44 x 0.3 (6.6)
= 87.12
Total surface area of a cylinder = 87.12 [tex]m^{2}[/tex]
Since [tex]\frac{1}{12}[/tex] of the steel was wasted, then;
[tex]\frac{1}{12}[/tex] x 87.12 = 7.26 [tex]m^{2}[/tex]
Actual area of steel sheet used = 87.12 + 7.26
= 94.38 [tex]m^{2}[/tex]
Thus, 94.38 [tex]m^{2}[/tex] of steel was used in making the tank.
Write the unit rate for the following.
a) kate sews 100 dresses In a 20 day month.
b) Kim runs 5km in 30 minutes.
Answer:
the answer is B
Answer:
For a) The unit rate is 5 dresses per day
For B) The unit rate is 1KM per 6 min
Step-by-step explanation:
100/20=5 dresses
30/5=6 minutes
Which shape has 3 sides and 3 corners?
Write the equation of a line parallel to f(x)=1/2x+1 and passing through the point (-5, -2).
Answer:
y = 1/2x + 1/2
Step-by-step explanation:
y = 1/2x + b [Parallel lines have the same slope but different y-intercepts]
-2 = (1/2)(-5) + b [Plug in the coordinates (-5,-2) to find the y-intercept b]
b = 1/2 [Solve for b]
y = 1/2x + 1/2
Answer:
y= 1/2x + 0.5
Step-by-step explanation:
plug in the x and y values to get the y-intercept the slope stays the same. hope this helps! :P
Please help ASAP will give brainilest to best answer
Answer: 100
Step-by-step explanation:
1 cubic inch would just be 100 because each cube is 1 cubic inch. So 100(number of cubes)/1(cubic inch)=100 I hope I'm right :)
Help me y'all i really need help
Answer:
that is 2/10 (for the fraction) and 0.2 (for the decimal) if the fraction is to be simplified, it would be 1/5. hope this helps! :D
Step-by-step explanation:
Which equation represents an inverse variation?
Answer:
C. y=3/x
Step-by-step explanation:
hope this helps, sorry if I am wrong
If CD is not parallel to EF, what is m2C?
The vertices of a triangle are P(7,3), Q(3,1)and R(7,1). Enter the vertices of the image reflected in the x-axis
Answer:
P'(7,-3)
Q'(3,-1)
R'(7,-1)
Step-by-step explanation:
Switch signs of y-value when reflecting across x-axis.
Switch signs of x-value when reflecting across y-axis.
Hope this helped!
sasha had $1800 and share it in the ratio 2:3:4 between her 3 cousin what was the largest share
900
800
1200
1000
Answer:
$800
Step-by-step explanation:
[tex]total \: units \: = \\ 2 + 3 + 4 = 9 \: units \\ 9 \: units \: = 1800 \\ 1 \: unit \: = 1800 \div 9 \: = 200 \\ largest \: share \: = 4 \: units \\ 4 \: units \: = \: 200 \times 4 = 800[/tex]
can anybody finish this?
Answer:
No Thanks, and like you said when I asked my question "the answers above i need points"
(Also please stop doing this to people, it's rude and i'm doing this to you so you see this.)
Find the unknown length x in the right triangle, to the nearest tenth.
D
26
F
Х
55
E
What is the length for x
If one of the roots of the equation x² - 4 + k = 0 exceeds the other by 2 , then find the roots and determine the value of k.
Answer:3
Step-by-step explanation:
Given
Quadratic equation is [tex]x^2-4+k=0[/tex]
if one root exceeds the other by two
suppose one of the roots is a, then the other is a+2
The Sum of roots is
[tex]=\dfrac{-\text{coefficient of x}}{\text{coefficient of }x^2}[/tex]
[tex]\therefore a+a+2=-\dfrac{-0}{1}\\\\\Rightarrow 2a+2=0\\\Rightarrow a=-1[/tex]
Product of roots
[tex]\Rightarrow (a)(a+2)=\dfrac{k-4}{1}\\\Rightarrow (-1)(1)=k-4\\\Rightarrow k=4-1=3[/tex]
A.ASA postulate
B.SAS postulate
C.SSS postulate
D.AAS theorem
I need help please is for tomorrow):
Answer:
Step-by-step explanation:
If a number gets increased by scale factor = k
Then k > 1
If the number gets decreased by a scale factor 'k'
Then 0 < k < 1
Let numbers gets increased by the scale factor = 2,
And decreased by the scale factor = [tex]\frac{1}{2}[/tex]
Numbers Scale up by 2 Scale down by [tex]\frac{1}{2}[/tex]
0.05 0.05 × 2 = 0.1 0.05 × [tex]\frac{1}{2}[/tex] = 0.025
[tex]\frac{1}{2}[/tex] [tex]\frac{1}{2}\times 2 = 1[/tex] [tex]\frac{1}{2}\times \frac{1}{2}=\frac{1}{4}[/tex]
7 7 × 2 = 14 7 × [tex]\frac{1}{2}[/tex] = 3.5
13 13 × 2 = 26 [tex]13\times \frac{1}{2}=6.5[/tex]
25 25 × 2 = 50 [tex]25\times \frac{1}{2}=12.5[/tex]
102 102 × 2 = 204 [tex]102\times \frac{1}{2}=51[/tex]
Pls help me with this
Jaden's batting average is .214. Raul hits 24.3% of his pitches. Abraham hit 2 out of the 9 balls he was pitched. Mark hit 22% of the balls he was pitched. Who has the greatest batting average? Who has the least batting average?
Answer:
Raul has greatest batting average. Jaden has least batting average.Step-by-step explanation:
Convert all the batting averages to a single unit so that comparison is easier.
Use percentages.
Jaden batting average:
= 0.214 = 214/1,000 = 21.4%
Raul = 24.3%
Abraham:
= 2 / 9 * 100%
= 22.2%
Mark = 22%
Raul has the greatest batting average.
Jaden has the least batting average.
7th grade math help me pleasee
Answer:
3 because sigh changes when you take -3 to other side
Answer:
The answer is 3. because since x = 7, 7-3 = 10 is a false equation.
Step-by-step explanation:
The area of a rectangular parking lot is 5460²m.. If the length of the parking lot is 84, what is its width?
Answer: The width is 65.
Step-by-step explanation:
84 x 65 = 5460. I got 65 by spamming random numbers in the calculator until I got my answer.
PLS HELP! (THE QUESTION IS A PICTURE CLICK ON THE QUESTION FIRST)
Answer:
m+ p+ q= 180°
m+76°+72°=180°
m+ 148=180°
m=180°-148
m=32°
Mr Thompson please help with my new HW
Answers:
C) x = plus/minus 11B) No real solutionsC) Two solutionsA) One solutionThe value 18 goes in the first blank. The value 17 goes in the second blank.========================================================
Explanations:
Note how (11)^2 = (11)*(11) = 121 and also (-11)^2 = (-11)*(-11) = 121. The two negatives multiply to a positive. So that's why the solution is x = plus/minus 11. The plus minus breaks down into the two equations x = 11 or x = -11.There are no real solutions here because the left hand side can never be negative, no matter what real number you pick for x. As mentioned in problem 1, squaring -11 leads to a positive number 121. The same idea applies here as well.The two solutions are x = 0 and x = -2. We set each factor equal to zero through the zero product property. Then we solve each equation for x. The x+2 = 0 leads to x = -2.We use the zero product property here as well. We have a repeated factor, so we're only solving one equation and that is x-3 = 0 which leads to x = 3. The only root is x = 3.Apply the FOIL rule on (x+1)(x+17) to end up with x^2+17x+1x+17 which simplifies fully to x^2+18x+17. The middle x coefficient is 18, while the constant term is 17.Please answer the question above.
Answer:
5.3!
Step-by-step explanation:
( in case you need work ) the angles are congruent so you set them equal to each other!
6x+12=9x-4
you then get 16=3x then divided its 5.3!
What is the percent change from 35 to 63? Indicate whether it is a percent increase or decrease.
Answer:10%
Step-by-step explanation:
its is a percent increase because 35 to 63 is going to be 10% going up.
A blood sample has 50,000 bacteria present. a drug fights the bacteria such that every hour the number of bacteria remaining, r(n), decreases by half. If r(n) is an exponential function of the number, n, of hours since the drug was taken, find the bacteria present four hours after administering the drug.
Answer:
3125 bacteria
Step-by-step explanation:
Let r(0) be the initial amount of bacteria. Every hour, r(n) decreases by half. So, after one our new value for r(n) = (1/2)r(0). After two hours, r(n') = (1/2)r(n) = (1/2)(1/2)r(0) = (1/2)²r(0).
After n hours, r(n) = (1/2)ⁿr(0)
So when n = 4 hours and r(0) = 50,000, then
r(4) = (1/2)⁴r(0)
r(4) = (1/2)⁴ × 50,000
r(4) = (1/16) × 50,000
r(4) = 3125
So, after 4 hours, we have 3125 bacteria present.
2. Given that set M = {Even numbers between 20 and 35), find n(m)
Step-by-step explanation:
Set M = {20,22,24,26,28,30,32,34}
n(M) = no. of elements in set M
i.e.
n(M) = 8
Answer:
7
Step-by-step explanation:
Even numbers between 20 and 35 are 22, 24, 26, 28, 30, 32, 34.
M = { 22, 24, 26, 28, 30, 32, 34}
There are 7 elements in the set M.
Thus, n(M) = 7
At what rate per cent will the intrest on Rs. 2520 add up to Rs. 84 in 8 months
Answer:
The rate of percent is 5%
Step-by-step explanation:
-18x+2x-15x+23x-12x-4x
Combine like terms
Answer:
-24x
Step-by-step explanation:
Combining them all leads you to get -24x.