Answer:
[tex] \dfrac{3y^8}{11t^2} [/tex]
Step-by-step explanation:
[tex]\dfrac{3y^4t^{-2}}{11y^{-4}} =[/tex]
[tex] = \dfrac{3y^{4 - (-4)}}{11t^2} [/tex]
[tex] = \dfrac{3y^8}{11t^2} [/tex]
The surface area of a rectangular prism that has height of 4 inches, width of 9 inches and length of 3 inches = ____________ in2.
Answer:
150 in^2
Step-by-step explanation:
The ends have the smallest surface area. The total surface area of the ends is thus 2(3 in)(4 in) = 24 in^2
The top and bottom together have the total surface area 2(9 in)(3 in) = 54 in^2.
Finally, the front and back surface areas together are 2(9 in)(4 in) = 72 in^2
Thus, the total surface area is (24 + 54 + 72) in^2 = 150 in^2
Surface area of a rectangular prism is equal to [tex]\boldsymbol{150}[/tex] square inches.
Surface area of a rectangular prismHeight of a rectangular prism [tex]=4[/tex] inches
Width of a rectangular prism [tex]=9[/tex] inches
Length of a rectangular prism [tex]=3[/tex] inches
Surface area of a rectangular prism [tex]=\boldsymbol{2(lw+wh+hl)}[/tex] where [tex]l,w,h[/tex] denote length, width and height of a rectangular prism
Therefore,
Surface area of a rectangular prism [tex]=2\left [ 4(9)+9(3)+3(4)\right ][/tex]
[tex]=2\left ( 36+27+12 \right )\\=150[/tex]
So, surface area is equal to [tex]\boldsymbol{150}[/tex] square inches.
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please help me immediately
If the variance of a variable is 16, what is the standard deviation?
Answer:
Standard deviation=4
Step-by-step explanation:
Standard deviation = square root of variance
Standard deviation=√variance
Variance=standard deviation square
Variance=standard deviation^2
From the question
Variance=16
Standard deviation=?
Standard deviation=√variance
=√16
=4
Standard deviation=4
check:
If standard deviation=4
Variance=standard deviation^2
=4^2
=16
Therefore,
Standard deviation=√variance
[tex]4[/tex]
VarianceThe variance is a measure of how much each point deviates from the mean on average.The standard deviation of a set of numbers is the distance between them and the mean. (The mean is the arithmetic average of a given group of integers.)To compute the standard deviation, take the square root of the variance.Variance of the variable [tex]=16[/tex]
Standard deviation [tex]=\sqrt{16}[/tex]
[tex]=\boldsymbol{4}[/tex]
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Rewrite the following expression using the properties of logarithms. log2z+2log2x+4log9y+12log9x−2log2y You must show all of your work to receive credit.
Answer:
53437.3639
Step-by-step explanation:
23y5o9-023.36839637836386378673676763767678362
Select the correct answer. Which pair of statements correctly compares the two data sets? A. The difference of the means is 1. This value is less than half of the mean absolute deviation of either data set. B. The difference of the means is 1. This value is more than half of the mean absolute deviation of either data set. C. The difference of the means is 1. This value is 1 times the mean absolute deviation of either data set. D. The difference of the means is 1. This value is 2 times the mean absolute deviation of either data set.
Answer:
For this case since the p value is higher than the significance level we can FAIL to reject the null hypothesis and we can conclude that the true means are NOT significantly different at 10% of significance.
Step-by-step explanation:
Information provided
represent the mean for sample 1
represent the mean for sample 2
represent the sample standard deviation for 1
represent the sample standard deviation for 2
sample size for the group 2
sample size for the group 2
Significance level provided
t would represent the statistic
Hypothesis to test
We want to verify if the true means for this case are significantly different, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
And the degrees of freedom are given by
Replacing the info given we got:
The degreess of freedom are given by:
Now we can calculate the p value with the following probability:
For this case since the p value is higher than the significance level we can FAIL to reject the null hypothesis and we can conclude that the true means are NOT significantly different at 10% of significance.
Step-by-step explanation:
help me plz i want help plz
Answer:
384
Step-by-step explanation:
6 squares of 8x8=
8x8x6=384
How many houses have an area less than 100^2m?
Answer:
4
Step-by-step explanation:
Each bar represents a range in area. The first bar represents the number of houses with an area of more than 50 but less than 100. It's height is 4, so there are 4 of those houses.
20 points repost because no one answered. Geomertry question
Answer:
x=2.25
Step-by-step explanation:
ΔABC and ΔADE are similar.
∴ sides are proportional.
[tex]\frac{5}{1} =\frac{x+9}{x} \\5=\frac{x}{x} +\frac{9}{x} \\5=1+\frac{9}{x}\\\frac{9}{x}=5-1\\\frac{9}{x}=4\\x=\frac{9}{4}=2.25[/tex]
Answer:
x = 9/4
Step-by-step explanation:
We know that the triangles are similar
We can use ratios to solve
x x+9
----- = ----------------
1 5
Using cross products
5x = 1(x+9)
5x = x+9
Subtract x
5x-x = x+9-x
4x= 9
Divide by 4
4x/4 = 9/4
x = 9/4
Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: ________
What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?
x < –3
x > –3
x < 3
x > 3
Answer:
3 > x
Step-by-step explanation:
–2(5 – 4x) < 6x – 4
Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: divide each side by by -2, remembering to flip the inequality
-6/-2 > -2/-2
3 > x
Answer:
x < 3
Step-by-step explanation:
−2(5−4x)<6x−4
Use the distributive property to multiply −2 by 5−4x.
−10+8x<6x−4
Subtract 6x from both sides.
−10+8x−6x<−4
Combine 8x and −6x to get 2x.
−10+2x<−4
Add 10 to both sides.
2x<−4+10
Add −4 and 10 to get 6.
2x<6
Divide both sides by 2. Since 2 is >0, the inequality direction remains the same.
x= 6/2
Divide 6 by 2 to get 3.
x= 3
X< 3
Mark me as brainliest
solve each equation for 0 x 360 sqrt 2 cosx+1=0 please hurry
Answer:
[tex]120\º \text{ and } 240\º[/tex]
or in radians:
[tex]$\frac{2\pi }{3} \text{ and } \frac{4\pi }{3}$[/tex]
Step-by-step explanation:
From the way you wrote, you want to solve the equation
[tex]\sqrt {2 \cos(x)+1}=0[/tex] for [tex]0 \leq x < 360\º[/tex], or in radians [tex][0, 2\pi)[/tex]
[tex]\sqrt {2 \cos(x)+1}=0[/tex]
Square both sides
[tex]2 \cos(x) +1= 0[/tex]
[tex]2\cos(x)=-1[/tex]
[tex]$\cos(x)=-\frac{1}{2} $[/tex]
In the Unit Circle, considering one revolution (interval [tex][0, 2\pi)[/tex]),
the values where [tex]$\cos(x)=-\frac{1}{2} $[/tex] are in Quadrant II and III.
Once
[tex]$\cos(x)= \frac{1}{2} \text{ for } x = 60\º \text{ in the Quadrant I}$[/tex]
The values where
[tex]$\cos(x)=-\frac{1}{2} $[/tex] are 120º and 240º.
Answer:
C on edge
Step-by-step explanation:
What is the degree measure of an interior angle of a regular pentagon?
Answer:
it is 540 degrees.
Step-by-step explanation:
Answer:
108°
Step-by-step explanation:
Sum of interior angle of any polygon = (n - 2 )*180
Here, n = number of sides
Sum of interior angle of regular pentagon = ( 5 - 2)*180 = 3*180 = 540°
In regular pentagon all the angles are congruent.
Interior angle of regular pentagon = 540/5
= 108°
A five question multiple choice quiz has five choices for each answer. Use the random number table provided, with 0’s representing incorrect answers, and 1’s representing correct answers to answer the following question: What is the experimental probability of correctly guessing at random exaclty three correct answers? PLS HELP ME
Answer:
9/20 (or) 45% (or) .45 (however your teacher wants it expressed)
Step-by-step explanation:
There are 20 experiments and 9 of them have three ones and two zeros.
9/20
Need help plz, i will give brainliest and 20 points. Thank you
Answer:
1/2
Step-by-step explanation:
Use the graph to find the value of y = sin q for the value of q.
Answer:
c
Step-by-step explanation:
How can you determine whether a rational number will have a terminating or a repeating decimal
form? Provide an example of both a terminating and repeating rational number when converted to
decimal form.
Answer:
You can determine this by putting the rational numbers in decimal form.
Step-by-step explanation:
A rational number like 1/2 will have a terminating decimal answer = 0.5
A rational number like 7/11 will have a terminating decimal answer = 0.636 where 36 is repeating.
Solve the following equations and inequalities showing all work.
18.1/2(x - 5) + 1 = 2x +4
19.3-x>-3
20. - x = 12
21. -2 = 8
22. –1 + 3 = 3 +
5
23.4 - (5x + 6) = 18 - 3x
24.-6x + 24 = 4x - 15(x-3)
25.4(x – 3) 12 =(x-3)
26. (15x 2) (-2) = x + 4
Answer:
See the answers in the pics
Step-by-step explanation:
Srry, I didn't quite understood the last two equations
but I hope that from now on you will know how to solve equations and inequalities like this ;]
Answer:
LLLLLLLLLLLLLl
Step-by-step explanation:
QUICK!! 18x^2+21x-60=0 pls give me the steps as well
Answer:
[tex]x1 = - \frac{5}{2} [/tex][tex]x2 = \frac{4}{3} [/tex]
Step-by-step explanation:
[tex]18 {x}^{2} + 21x - 60 = 0[/tex]
Divide both sides of the equation by 3
[tex]6 {x}^{2} + 7x - 20 = 0[/tex]
Write 7x as a difference
[tex]6 {x}^{2} + 15x - 8x - 20 = 0[/tex]
Factor out 3x from the expression
[tex]3x(2x + 5) - 8x - 20 = 0[/tex]
Factor out -4 from the expression
[tex]3x(2x + 5) - 4(2x + 5) = 0[/tex]
Factor out 2x + 5 from the expression
[tex](2x + 5)(3x - 4) = 0[/tex]
When the product of factors equals 0 , at least one factor is 0
[tex]2x + 5 = 0[/tex]
[tex]3x - 4 = 0[/tex]
Solve the equation for X
[tex]2x + 5 = 0[/tex]
Move constant to R.H.S and change its sign
[tex]2x = 0 - 5[/tex]
Calculate the difference
[tex]2x = - 5[/tex]
Divide both sides of the equation by 2
[tex] \frac{2x}{2} = \frac{ - 5}{2} [/tex]
Calculate
[tex]x 1= - \frac{5}{2} [/tex]
Again,
[tex]3x - 4 = 0[/tex]
Move constant to RHS and change its sign
[tex]3x = 0 + 4[/tex]
Calculate the sum
[tex]3x = 4[/tex]
divide both sides of the equation by 3
[tex] \frac{3x}{3} = \frac{4}{3} [/tex]
Calculate
[tex]x 2= \frac{4}{3} [/tex]
Hope this helps..
Best regards!!
Answer:
39x+58
Step-by-step explanation:
18x 2+21x-60=0
pick the like terms together
18x+21x=39x
60-2=58
=39x+58
Please help attachment
Answer:
Step-by-step explanation:
a , [tex]5\frac{9}{14}[/tex]
b,[tex]7\frac{1}{2}[/tex]
Answer:
A) 5 9/14
B) 7 1/2
Step-by-step explanation:
Question A asks what is 4 1/7 + 1 1/2
First turn the problem into improper fraction for it to be easier to calculate.
29/7 + 3/2
Now we have to find the denominator(bottom number)
We have 7 and 2 as our denominators. So we need to find out the lcm(least common factor)
For 7 and 2 the lcm is 14
So far we have:
29/7 + 3/2 = ?/14 + ?/14 = ?
Now we need to find the numerator(The top number). That fills in the ? over the two 14's.
To find the numerator we need to mutiply.
29/7 + 3/2 = ?/14 + ?/14 = ?
7 × ? = 14 the answer is 2 so then we multiply the top also with 2. So 29 × 2 = 58.
29/7 + 3/2 = 58/14 + ?/14 = ?
Now we have figured out one of the ?
We do the same thing for the other one
2 × ? = 14 answer is 7 so we also multiply the top with 7. 3 × 7 = 21.
29/7 + 3/2 = 58/14 + 21/14 = ?
Now we have to solve this:
58/14 + 21/14 = ?
The denominator is 14 because both of them are 14.
The top we need to add together so 58+21= 79
Now our answer is:
79/14
If we simplify it(by turning into improper fraction):
5 9/14
B) question is 4 1/2 ÷ 3/5
First we turn it into inproper fraction
9/2 ÷ 3/5
Since it is divsion we have to flip the second fraction which is 3/5 into 5/3, and turn the ÷ symbol into ×
9/2 × 5/3
Now we multiply across
9×5 = 45
2×3 = 6
answer: 45/6
Now if we simplify:
7 1/2
Hope that helped! that was long.. I would apreciate a brainlist if you could, thx!
Hello!! I Need HElp ASAP PLEAASSEE
The line of symmetry of the parabola whose equation is y = ax2 - 4x + 3 is x = -2. What is the value of "a"?
-2
- 1/2
-1
Answer:
a = -1
Step-by-step explanation:
The line of symmetry for the parabola given by ...
y = ax² +bx +c
is
x = -b/(2a)
Using the given values, we have ...
-2 = -(-4)/(2a)
Multiplying by -a/2, we get ...
a = (4/2)(-1/2) = -1
The value of "a" is -1.
What is 10^4 in standard notation
Answer:
10,000
Step-by-step explanation:
Standard notation is just the normal way of writing things. 10 x 10 x 10 x 10 = 10,000.
PLEASE HELP!! 20 POINTS
Answer:
5/12
Step-by-step explanation:
take the number of students who read under6 books (5) and divide by total amount of students (12)
5/12
Answer:
5/12
Step-by-step explanation:
there are a total of 12 books read and a frequency of 5 books read that is fewer than 6 books
Please hurry!!!
The fraction bars represent which equation?
A fraction bar is labeled 1. Underneath the bar, 4 boxes are labeled 1/4. Underneath the 4 boxes, boxes are labeled 1/8. 6 of those boxes are circled.
A. 1/4 ÷ 1/8 = 6
B. 3/4 ÷ 1/8 = 6/8
C. 1/4 ÷ 1/8 = 6/8
D. 3/4 ÷ 1/8 = 6
Answer:
Answer- 3/4 divided by 1/8 = 6/8
rest text yeah cry GC Ci
What do you mean?? .-.
Write h(x) = x2 - 6x + 3 in vertex form by following these
steps:
Step 1: Model x2 - 6x + 3 by placing tiles in the Product
section. First place the x2 and -x tiles along the left
and top borders to form two sides of a square. Then
place the + tiles along the ends of the -x tiles.
The vertex form of the quadratic equation is:
[tex]h(x) = (x - 3)^2 - 6[/tex]
How to write the quadratic equation in vertex form?
For a quadratic equation:
[tex]y = a*x^2 + b*x +c[/tex]
With vertex (h, k), the vertex form is:
[tex]y = a*(x - h)^2 + k[/tex]
In this case, we have the equation:
[tex]h(x) = x^2 - 6x + 3[/tex]
To get the x-value of the vertex we use the general formula:
[tex]h = -(-6)/(2*1) = 6/2 = 3[/tex]
To get the y-value, we evaluate the function in x = 3, so we get:
[tex]h(3) = k = (3)^2 - 6*3 + 3 = -6[/tex]
So the vertex is (3, -6).
Then the vertex form is:
[tex]h(x) = (x - 3)^2 - 6[/tex]
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Find the amplitude of the sine curve shown below. a. 3 b. p c. 1.5 d. 6
Answer:
Amplitude = 3
Step-by-step explanation:
Given
The sine curve above
Required
Determine the amplitude
To determine the amplitude of a sine curve, we have to calculate the distance between the horizontal line of the curve and the top or bottom of the function
Using the top of the curve as a point of reference;
Amplitude = Top of curve - Horizontal Line.
The horizontal line is always at point 0
From the graph above, the top of the curve is at point 3
Hence,
Amplitude = 3 - 0
Amplitude = 3
Perry has 24 coins that equal 52 cents. All the coins are pennies, p, and nickels, n. How many nickels and pennies does Perry have? Use the table to guess and check.
Answer:
7 nickels and 17 pennies
Step-by-step explanation:
7 nickels will give you an answer of 35 and if you subtract 35 from 52 that leaves you with 17. 17 is the number of pennies since it is the remainder and each penny is one cent each
Answer:
c
Step-by-step explanation:
Find the value of y.
Answer:
y is 3.6
Step-by-step explanation:
The information given are
Parallel lines crossing two converging lines with proportion 3 and 5 on one and 6 and y on the other
To find y, we have that two or more parallel lines cut by two transversal proportionately cut the transversal lines;
Therefore we have from the measured segment of the two lines;
[tex]\dfrac{3}{5} = \dfrac{y}{6}[/tex]
Which gives;
3 × 6 = 5 × y
y = 3 × 6/5 = 18/5
y = 18/5 = [tex]3\frac{3}{5}[/tex] , which is equal to 3.6.
Jane will draw one card from the regular deck of 52 cards. In how many ways can she choose a jack or a black card?
From the information about a standard deck of cards, it is found that:
There are 28 ways in which she can choose a jack or a black card.
--------------------------------------------
A standard deck of cards is composed by:
4 suits.There are two black suits, which are spades and clubs.There are two red suits, hearts and diamonds.In each suit, there are 13 cards, that are: 1,2,3,4,5,6,7,8,9, jack, queen, king and ace.--------------------------------------------
The desired outcomes are:
Black cards, which there are 26, 13 spades and 13 clubs.Among red cards, there are 2 jacks.26 + 2 = 28, thus:
There are 28 ways in which she can choose a jack or a black card.
A similar problem is given at https://brainly.com/question/24233657
please help me immediately
Answer:
112 m³
Step-by-step explanation:
Let's calculate first the voulume of the tank
the volume of thi tank is given by :
V = l*w*h l is the length w is the width h is the heightso the volume is :
V = 4*12*3.5V=168 m³Multiply by 2/3 to get the volume of the water
V' = 168*(2/3) V' = 112 m³Answer:
112 m^3
Step-by-step explanation:
V = l x w x h
V = 4 x 12 x 3.5
V = 168 m^3
V = 168 x (2/3)
V = 112 m^3
ASAP its not 36 do RSM way Find the number of rectangles in 6×6 chessboard.
Answer:
441 rectangles
Step-by-step explanation:
Formula for the number of rectangles in a chessboard=
n²(n + 1)²/ 4
We are told in the question that is a 6×6 chessboard
Hence, n = 6
= 6²(6 + 1) ²/ 4
= 6²× 7²/4
= 36 × 49/4
= 1761/4
= 441 rectangles
Therefore, the number of rectangles in 6×6 chessboard is 441 rectangles.