Answer:
x = 9
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]
Given
[tex]11^{x}[/tex] = [tex]11^{4}[/tex] × [tex]11^{5}[/tex] = [tex]11^{(4+5)}[/tex] = [tex]11^{9}[/tex]
Since the bases on both sides are common, then equate the exponents
x = 9
The graph below shows three different normal distributions. 3 normal distributions are shown. They all peak at the same point, but they all have different heights and widths. Which statement must be true?
A) Each distribution has a different mean and the same standard deviation.
B) Each distribution has a different mean and a different standard deviation.
C) Each distribution has the same mean and the same standard deviation.
D) Each distribution has the same mean and a different standard deviation.
Answer:
D) Each distribution has the same mean and a different standard deviation.
Step-by-step explanation:
just took test edg2020
The graph below shows three different normal distributions.
D) Each distribution has the same mean and a different standard deviation.
What is standard deviation and mean?The spread in the provided normal curves exists due to various standard deviations. The mean for all three curves lies at the center of the curve.
Therefore, each distribution contains the same mean and a separate standard deviation.
Therefore, the correct answer is option (D) "Each distribution has the same mean and a different standard deviation."
To learn more about standard deviation and mean
https://brainly.com/question/10924415
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The length of a rectangular room is 5 feet longer than twice the width If the room's perimeter is 166 feet, what is the length?
A. 67 feet
B. 44 feet
C. None of these
D. 114 feet
E. 57 feet
Answer:
E. 57 feet
Step-by-step explanation:
If you draw a rectangle and label the long side 5+2x, and the short side x, then that represents the rectangular floor.
The 2x is "twice the width".
The 5 added to the 2x is "5 feet longer than"
The x is the width of the room.
If the equation for the whole perimeter is 2(5+2x)+2x=166 <-(The perimeter)
(Both of the long sides)^ ^(Both of the short sides)
Then we need to solve for x.
[tex]2(5+2x)+2x=166\\10+4x+2x=166\\10+6x=166\\6x=156\\x=26[/tex]
Next, we input the value we got into the equation 5+2x (The length of one side) and solve
[tex]5+2x\\5+2(26)\\5+52\\57[/tex]
So the length of the room is 57 feet.
Hope this helps!
Plz Help meee!!!
Factor the Trinomial
x^2+12x+27
Answer:
(x + 9)(x + 3)
Step-by-step explanation:
Factor 27 so that the factors, when combined, will equal 12:
x² + 12x + 27
x 9
x 3
(x + 9)(x + 3) is your answer.
Check: Use the FOIL method. Multiply the first two terms, the outside terms, the inside terms, and then the last two terms. Combine like terms:
(x + 9)(x + 3) = x² + 3x + 9x + 27 = x² + 12x + 27 (√)
~
Answer:
(x+9)(x+3)
Step-by-step explanation:
first of all, you should learn this properly, because you'll have to go back to this over and over again. anyways
you need to find two numbers so that it adds up to 12, but also multiplies to 27.
The numbers 9 and 3 fit the situation
So you add 9x and 3x because it's the same thing as 12x. you're just splitting up the term 12x into two other terms.
so now it looks like x^2 + 9x + 3x + 27. now you factor the first two terms and last two terms
x ( x + 9 ) <---factor of first two terms
3 ( x + 9) <---factor of last two terms
x(x+9)+3(x+9)
you notice that (x+9) is common in both factorized parts
so, you add x and 3 from the outside
and you get (x +3 ) (x+9)
Compute the requested value. Choose the correct answer.
If the cost is $58.00 and the selling price is $63.00, then what is the percent of increase?
It is
%
Answer:
8% percent I think
Step-by-step explanation:
What two numbers have a sum of 191 and a difference of 63
Answer:
Step-by-step explanation:
a+b=191
a-b=63
i sum these
a+b+a-b=191+63
2a=254
a=254/2
a=127
b=191-127
b=64
Answer:
127 and 64
Step-by-step explanation:
To solve this, we can set up a system of equations.
We can name the first number x and the second number y.
x+y=191
x-y=63
We can use elimination to eliminate the y variable.
We do this by adding the equations together
x+y=191
+ x-y=63
_________
2x=254
Divide both sides by 2.
x=127
Now we can plug that in to find y.
x+y=191
127+y=191
Subtract 127 from both sides.
y=64
So our two numbers are 127 and 64.
Solve the equation shown for x.
2( x - 4) = 4x + 3x + 6
Answer:
-2.8
Step-by-step explanation:
I solved it thats how
The oblique prism has a rectangular base with a width of 10 units and a length of 13 units.
An oblique prism with a rectangular base is shown. The rectangular base has a width of 10 units and a length of 13 units. The distance between the top and the bottom base is 17 units. The top base extends 8 units to the right of the bottom base.
The top base extends 8 units to the right of the bottom base. What is the volume of the prism?
Answer:
Volume of the prism = 1950unit³ (C)
Step-by-step explanation:
The question is incomplete without the diagram of the oblique prism and its dimension.
Find attached the diagram used in solving the question.
The prism has a rectangular base:
width= 10 units
length = 13 units
The distance between the top and the bottom base = 17 units.
Volume of prism = Area of base × height
Area of base = area of rectangle = Length ×width
= 13× 10
Area of base = 130unit²
To get the height, we would apply Pythagoras theorem
Hypotenuse² = opposite² + adjacent ²
17² = h² + 8²
289 = h² + 64
h² = 289-64 = 225
h = √225
h = 15unit
Volume of the prism = 130 × 15
Volume of the prism = 1950unit³ = 1950 cubic units
Answer:
The answer is C which is 1950 on EDGE
Step-by-step explanation:
What is the surface area?
10 cm
8 cm
10 cm
12 cm
10 cm
square centimeters
Step-by-step explanation:
surface area = (2*0.5*12*8) + (2*10*10) + (12*10)
= 96 + 200 + 120
= 416 cm^2
When 8=8 is it infinite solutions, no solutions
Answer:
infinite
Step-by-step explanation:
no solution would be something like 8=4 because it is not true
Answer:
Infinite solutions
Step-by-step explanation:
If angle AOC = 40 degrees, how many degrees is angle ABC?
80........................
Without measuring angles what is the measure of angle A′ OB ′?
Answer:
That isn’t possible
Step-by-step explanation:
which point is an x-intercept of the quadratic function
f(x)=(x-8)(x+9) ?
Answer:
(0, 8)
Step-by-step explanation:
i just got this question
Answer:
(-9,0)
Step-by-step explanation:
To find the x intercept, set y=0 and solve for x
f(x) = (x-8) (x+9)
0 = (x-8) (x+9)
Using the zero product property
x-8 =0 x+9=0
x=8 x=-9
(8,0) (-9,0) are the x intercepts
someone please help :)
Answer: 25
Step-by-step explanation:
they are corresponding angles
Use the information in the table to answer the question. A 3-column table has 1 row. The first column is labeled Species with entry Goldfish. The second column is labeled Mean with entry 7 inches. The third column is labeled Standard Deviation with entry 1.2 inches. What percentage of goldfish will have lengths between 4.6 inches and 9.4 inches?
Answer:
94% so C
Step-by-step explanation:
I did the assignment
Hope it helps
Answer:
95%
Step-by-step explanation:
Edge 2020
But The aquarium charges $12 per ticket for adults and $5per ticket for children. A group of 90 children and adult chaperones visited the aquartum on a held trip. If the total cost of their tickets was $548, how mamy chaperones were there?
Answer:
There were 76 childrens and 14 adults.
Step-by-step explanation:
Since the group has a total of 90 children and adults, then the sum of the number of adults with the number of children must be equal to 90 as shown below:
children + adults = 90
Since the total cost for their tickets was 548 then the number of children multiplied by the price of their ticket summed by the number of adults multiplied by the price of their ticket must be equal to that. We have:
5*children + 12*adults = 548
With these two equations we have a system of equations shown below:
children + adults = 90
5*children + 12*adults = 548
In order to solve this we will multiply the first equation by -5, and sum both equations we have:
-5*children - 5*adults = -450
5*children + 12*adults = 548
7*adults = 98
adults = 98/7 = 14
children + 14 = 90
children = 90 - 14 = 76
There were 76 childrens and 14 adults.
Round your answer to the nearest hundredth..
B
?
5
2
A
С
Answer: m<B = 66.42
Step-by-step explanation:
Use cosine to find the missing angle.
Cosine = adjacent/hypotenuse
cos x = 2/5
since you know the side lengths and you’re finding the angle, use inverse cosine
cos -1 (2/5) = 66.4218215...
m<B = 66.42
Hey there!
We are looking for an angle. Whenever we want to look for an angle in a right triangle given two sides, we use inverse trigonometric functions. This is basically the inverse operation of the sine, cosine, and tangent. You could use it to undo any of these in an equation. If you said that the sine of x was equal to 1/2, you would do the inverse sine of 1/2 and get that x=30.
In our case, we see that the cosine of our angle is 2/5. How do we know that?
Well, we can remember the trigonometric functions using the mnemonic "soh cah toa"
SOH
Sine= Opposite/Hypotenuse
CAH
Cosine= Adjacent/Hypotenuse
TOA
Tangent= Opposite/Adjacent
If we look at the number values we have, we have 2 (the adjacent side to the angle) and 5 (the hypotenuse). This is adjacent over hypotenuse, which is the cosine. So, the cosine of our angle is 2/5.
Now, we can put this into an equation. I will call the measure of our mystery angle Θ (theta).
cosΘ= 2/5
We want to get the theta by itself to solve the equation. To do this, we have to use the inverse cosine on both sides of the equation to cancel out our cosine and figure out the value of theta. The inverse trig functions can be found on a calculator :)
cos[tex]^-1[/tex]cosΘ=cos[tex]^-1[/tex] 2/5
Θ ≈ 66.42
I hope that this helps! Now you will be able to find any angle given two sides of a right triangle! Have a wonderful day!
Simplify 4x-3(x-2y)+ .5(6x-8y)
Answer:
4x +2y
Step-by-step explanation:
4x-3(x-2y)+ .5(6x-8y)
Distribute
4x -3x+6y +3x -4y
Combine like terms
4x-3x+3x +6y-4y
4x +2y
Francine has a piece of wood that is five 5 5/12 feet long she uses three 3 1/4 feet of the wood from a science project how much for just Francine have left.
Answer:
4/3 ft
Corrected question;
Francine has a piece of wood that is five 5/12 feet long she uses three 1/4 feet of the wood from a science project how much for just Francine have left.
Step-by-step explanation:
Given;
Francine has a piece of wood that is five 5/12 feet long.
Total amount of wood T = 5 × 5/12 ft = 25/12 ft
she uses three 1/4 feet of the wood from a science project.
Amount of wood Used U = 3 × 1/4 = 3/4 ft
The amount of wood left equals the total amount of wood minus the amount of wood used;
The amount of wood left L = T - U = 25/12 - 3/4
L = 25/12 - 9/12
L = 16/12
L = 4/3 ft
Point N′(7, –8) is the image of point N(7, 8) under a reflection. What is the image of (–4, –10) under the same reflection?
Answer:
Image of the point (-4, -10) after reflection will be (-4, 10).
Step-by-step explanation:
Point N(7, 8) when reflected across x-axis, coordinates of the image point become N'(7, -8).
Rule for the reflection over the x-axis is
(x, y) → (x, -y)
Under the same reflection or following the same rule rule,
(-4, -10) → (-4, +10)
Therefore, image of the point (-4, -10) after reflection will be (-4, 10)
Factor the following polynomial:
5x(a - b) – 2y(a - b)
Answer:
(a - b)(5x - 2y)
Step-by-step explanation:
5x(a - b) – 2y(a - b) =
The factors in parentheses (shown in bold) are a common factor.
Factor (a - b) out from both terms.
= (a - b)(5x - 2y)
BJ added a cell phone to his familys plan his phone costs $5 a month how much does his phone cost him over 6 months?
help meeeeeeeee fammmm
Answer:
30
Step-by-step explanation:
6 x 5 is 30.
Sorin hits a cricket ball straight up into the air. After 1.5s, the ball is falling straight down with a speed of 6.5 m/s. We want to find the initial vertical velocity of the ball. We can ignore air resistance. Which kinematic formula would be most useful to solve for the target unknown?
Step-by-step explanation:
We have, Sorin hits a cricket ball straight up into the air. After 1.5 s, the ball is falling straight down with a speed of 6.5 m/s.
We want to find the initial vertical velocity of the ball.
The relation between initial speed, final speed, acceleration and time is given by using first equation of kinematics. Let v₀ is the initial speed. So,
[tex]v=v_o +at[/tex]
Here, v = -6.5 m/s, t = 1.5 s and a = -g
[tex]v_o=v-at\\\\v_o=v+gt\\\\v_o=-6.5+9.8\times 1.5\\\\v_o=8.2\ m/s[/tex]
So, the initial velocity of the ball is 8.2 m/s and the formula used is (1).
Probability & Sampling:Question 4
If the probability of a chance event is 0, it is
to happen
when compared to a chance event with a probability of 1.
Select one:
both more and less likely
less likely
more likely
equally likely
Answer:
more likely
Step-by-step explanation:
Justin earned $25.67 one week and $37.85 the next
week. He also purchased a DVD for $19.99 and gas for
his car for $22.07. He started with a zero balance in his
checking account. Justin recorded all of these
transactions in his checkbook and ended up with a
balance of $105.58. Was his balance correct? If it was,
write an equation to support the answer.
Answer:
No, Justin isn't correct
Step-by-step explanation:
Because Justin added everything even the money he spent, and when he spent the money meaning subtracting them, he should get $21.46.
($25.67+$37.85)-($19.99+$22.07)=$21.46
↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑
Money earned Money spend Money left
Write 21 9/1000 in decimal form
Answer:
the answer in decimal form is 21.009
Answer:
= 21.009
Step-by-step explanation:
First change it to an improper fraction
= 1000 x 21 + 9
= 21009/ 1000
You then divide it by 1000 without leaving a remainder.
= 21.009
Need Answer Fast Please to solve the Linear Expression: 5(5n+2)+(3-2n)
Answer:
23n +13
Step-by-step explanation:
5(5n+2)+(3-2n)
Distribute
25n + 10 +3 -2n
Combine like terms
25n -2n + 10+3
23n +13
Answer:
[tex]23n + 13[/tex]
Step-by-step explanation:
[tex]5(5n + 2) + (3 - 2n) \\ 25n + 10 + 3 - 2n \\ 25n - 2n + 10 + 3 \\ = 23n + 13[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Mai's younger brother tells her that 10/7 equal to 2‾√ 2 2‾√ 2 . Mai knows this can't be right, because 10/7 is rational and 2‾√ 2 2‾√ 2 is irrational. Write an explanation that Mai could use to convince her brother that 10/7 cannot be the square root of 2.
Answer:
The number 10/7 is a rational number, which means it can be expressed as a fraction. Also, if we divide it would give a decimal infinite periodical number, which means it has a pattern on its decimal numbers.
On the other hand, the square root of 2 is irrational number, that means it can't be expressed as a fraction, because its decimal numbers don't have any pattern at all.
So, Mai's brother can see these type of numbers as crazy (irrational numbers) and sane (rational numbers).
At last, another important characteristic to shows that they aren't equal is that they don't have the exactly decimal numbers.
Helpppppppppppppp plisss
Answer:
-21 < -13
Step-by-step explanation:
Since -21 is a much smaller number than -13, we write -21 < -13. If it was 21 and 13, then the answer would be 21 > 13.
what’s the missing number ?
Answer:
84
Step-by-step explanation:
One way to solve proportions is to cross multiply. If we name the unknown value x, then we can see that:
2x = 12(14)
2x = 168
x = 84
Another way to solve proportions is to ask, what number did you multiply the first numerator by to get the second numerator. In this case, what do you have to multiply 2 with to get 14. The answer is 7, so that means you must also multiply the first denominator by 7 to get the second denominator, or in this case, the unknown value. 12 x 7 = 84, so the missing number is 84.
Hope this helped! :)
how to get the answer ?
Answer:
x=-3
Step-by-step explanation:
This is a vertical line, vertical lines have a slope of undefined
They are of the form
x = something
In this case x= -3
