Answer:
[tex]\huge\boxed{ \text{(A)}\ \ \frac{1}{10}, -\frac{1}{10}}[/tex]
Step-by-step explanation:
We can simplify this expression down so that we have x isolated on one side of the equation.
So we can take the square root of both sides.
[tex]x = \sqrt{\frac{1}{100}}[/tex]
The square root of [tex]\frac{1}{100}[/tex] will be the number that, when multiplied by itself, will get us [tex]\frac{1}{100}[/tex].
In order to find the square root of a fraction, the numerator squared must correct and the denominator squared must be correct.
[tex]1^2 = 1[/tex]
[tex]10^2 = 100[/tex]
This means that we have the values 1 and 10. Therefore one of our fractions is [tex]\frac{1}{10}[/tex].
HOWEVER: A negative number squared is a positive. So this also works:
[tex]-1^2 = 1\\\\-10^2=10[/tex]
So we have [tex]-\frac{1}{10}[/tex] along with [tex]\frac{1}{10}[/tex].
Hope this helped!
What is the difference between the solution of a linear
equation and the solution to a linear inequality?
what is the qoutient?
Answer:
Option (3)
Step-by-step explanation:
Given expression is,
(6 × 10⁸) ÷ (1.5 × 10⁻⁴)
We can rewrite the given expression as,
[tex]\frac{6\times 10^8}{1.5\times 10^{-4}}[/tex]
Now by solving this expression further,
[tex]\frac{6\times 10^8}{1.5\times 10^{-4}}=\frac{6}{1.5}\times \frac{10^8}{10^{-4}}[/tex]
[tex]=4\times 10^8\times 10^4[/tex] [Since [tex]\frac{1}{10^{-4}} =10^4[/tex]]
= [tex]4\times 10^{(8+4)}[/tex]
= [tex]4\times 10^{12}[/tex]
Therefore, Quotient of the given expression is [tex]4\times 10^{12}[/tex].
Option (3) will be the answer.
The shaded area on the grid represents the part of the rectangular wall that was painted. Each small square on the wall has the same dimensions. Which percentage of the wall was painted?
The correct answer is 60%
Explanation:
A percentage represents a proportion of a total or 100% by using a number from 1 to 100. In this context, the first step is to count how many squares there are and how many were painted. This leads to the following results:
40 squares in total
24 painted squares
Knowing these two details it is possible to calculate the percentage. Follow this process:
- Write the values
40 squares = 100 % or total
24 squares = x (the value that needs to be found)
- Cross multiply to create an equation and solve this equation
40 x = 2400
x = 2400 ÷ 40
x = 60
The percentage that was painted was 60%
Brainliest is given to the correct answer.
Four students calculated the volume of a 12.8 oz container. Their results are shown in the table. Whose calculation is the most accurate?
A. Wally’s
B. Rex’s
C. Amanda’s
D. Joni’s
Answer:
Joni.
Step-by-step explanation:
Joni's calculation is the closest to the actual value.
How much Wally was off: [tex]12.8-12.546=0.254[/tex]
How much Rex was off: [tex]12.8-12.59=0.21[/tex]
How much Amanda was off: [tex]12.8-12.69=0.11[/tex]
How much Joni was off: [tex]12.8-12.75=0.05[/tex]
She was off by 0.05, which is the smallest out of the other people.
This means that her calculation was the closest to the actual value of 12.8 oz.
Thus, her calculation is the most accurate.
combine like terms to simplify the expression: 2a+3b-4c-b+2a+2c
Hey there! I'm happy to help!
First let's combine all of the terms with a.
2a+2a=4a
Now the ones with b.
3b-b=2b
And the ones with c.
-4c+2c=-2c
So, our simplified expression is 4a+2b-2c.
Have a wonderful day! :D
what is 1/3 + 5/9? HELPPPPP PLSSS
Answer:
8/9 is the correct answer for you problem
1 by 3 + 5 by 9 is equal to 8 by 9 this is your answer thank you
4.029 with number names
Answer:
Four and twenty nine thousandths
Step-by-step explanation:
The data to the right represent the top speed (in kilometers per hour) Of all the players (except goaltenders) in a certain soccer league. Construct (a) a relative frequency distribution (b) a frequency histogram, and (c) a relative frequency histogram. What percentage of players had a top speed between 22 and 25 9 km/h? What percentage of players had a top speed between 26 and 29.9km/h?Speed(Km/hr) Number of players10--13.9 414-17.9 718-21.9 2022-25.9 83 26-29.9 31930-33.9 179 a. Construct a relative frequency distributionb. The percentage of players that had a top speed between 22 and 25.9 km/h was :______c. The percentage of players that had a top speed less than 13.9 km/h was:_________
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
Speed(Km/hr)___No of players__Relative freq
10--13.9_________4______4/612 = 0.0065359
14-17.9_________ 7______7/612 = 0.0114379
18-21.9________20_____20/612 = 0.0326797
22-25.9_______ 83_____83/612 = 0.1356209
26-29.9_______319____319/612 =0.5212418
30-33.9______ 179_____179/612 = 0.2924836
The percentage of players that had a top speed between 22 and 25.9 km/h was : 0.1356209 × 100 = 13.56%
c. The percentage of players that had a top speed less than 13.9 km/h was: 0.0065359 × 100 = 0.65%
F f(x) = 6x – 4, what is f(x) when x = 8?
Answer:
F(x) = 44
Step-by-step explanation:
f(x) = 6x - 4
x = 8
f(x) = 6(8) - 4
f(x) = 48 - 4
Answer:
Step-by-step explanation:
f(8) = 6(8) - 4= 48 - 4 = 44
The line segment is extended to cross both axes. What is the location of the y-intercept on the line? O (0, -22)
O (0-10)
O(0,-5)
O (0,5)
Answer: (0,-10)
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
-78 = 8 (4 + 7x) + 6(-1 + 8x)
Answer:
56x = -152
Step-by-step explanation:
8(4+7x) + 6(-1 + 8) = -78
32 + 56x - 6 + 48 = -78
32 + 48 - 6
74 + 56x = -78
-74 -74
56x = -152
Suppose that a firm invests $5 million in the development of a new product that generates only about $250,000 in revenue after a full year on the market. The firm only has a patent for one year and other firms are likely to start producing similar products. Which of the following is the most rational decision for the firm to make?
Complete Question
The complete question is shown on the first uploaded image
Answer:
The correct option is C
Step-by-step explanation:
The correct option is
The firm should forget the new product, accept the loss of the investment and work on innovations that show signs of being more profitable.
The reason for this is that the period that the company is to recover the funds allocated to R &D is over i.e the patent(which is one of the most via way to recover their funds only last for one year so investing more resource on the product will lead to more loss for the company instead of a gain
How do you solve this equation? -5/4+(-7/9)= Thanks
Answer:
-2 1/36 or -2.028
Step-by-step explanation:
tik(tok) slapddaddy
How can you tell when to multiply and make boxes vs to simply combine like terms?
You can multiply ANYTHING. Just make sure that when you multiply, you change the exponents properly. Combining like terms is basically like normal addition. For example, you cannot add 6x +3y because they have different variables. If it was 3x+6x, then you can add it because they are like terms.
Hope this helps! Comment if you have any questions!
30 60 90 triangle please help thank u
Answer:
√6
Step-by-step explanation:
The short leg is half the hypotenuse, so √8÷2=√2
The base is √3 times the short leg, so √2·√3=√6
3/4 divided by 3/16?
I need help thank you :)
Answer:
B. The y- axis
Step-by-step explanation:
If you look at a 4 quadrant graph you can see the line of the reflection
Explain why the following problem will have an irrational answer 4.125+3
Answer:
The answer is rational.
Step-by-step explanation:
It won' be irrational.
4.125 and 3 are rational.
Answer: The sum is a non-repeating
Step-by-step explanation:
hi so idk what 4×4×7×2×0×9 is
Simplify (66/73)2
Tytytyy
Answer:
1.80821918
Hope it helps yuh
Find a vector of magnitude 3 in the direction of v=12i-5k.
Answer:
The vector of magnitude 3 in the direction of [tex]\vec v = 12\,\hat{i}-5\,\hat{k}[/tex].
Step-by-step explanation:
Let be [tex]\|\vec u\| = 3[/tex] and [tex]\vec v = 12\,\hat{i}-5\,\hat{k}[/tex], the resultant in the direction of [tex]\vec v[/tex] can be obtained by using the following expression:
[tex]\vec u = \frac{\|\vec u\|}{\|\vec v\|} \cdot \vec v[/tex]
Where:
[tex]\|\vec v\|[/tex], [tex]\|\vec u\|[/tex] - Norms of [tex]\vec v[/tex] and [tex]\vec u[/tex], respectively.
Now, we get the norm of [tex]\vec v[/tex] by Pythagorean Theorem:
[tex]\|\vec v\| = \sqrt{12^{2}+(-5)^{2}}[/tex]
[tex]\|\vec v\| = 13[/tex]
The vector is now determined:
[tex]\vec u = \frac{3}{13} \cdot (12\,\hat{i}-5\,\hat{k})[/tex]
[tex]\vec u = \frac{36}{13} \,\hat{i}-\frac{15}{13}\, \hat{k}[/tex]
The vector of magnitude 3 in the direction of [tex]\vec v = 12\,\hat{i}-5\,\hat{k}[/tex].
Solve for x:
3x + 2x + 7 = 10x - 16
What’s the answer ?
Answer:
[tex]x=\frac{23}{6}[/tex] or [tex]4.6[/tex]
Step-by-step explanation:
[tex]3x + 2x + 7 = 10x - 16[/tex]
[tex]5x+7=10x-16[/tex]
Subtract 7 from both sides:
[tex]5x+7-7=10x-16-7\\5x=10x-23[/tex]
Subtract 10x from both sides:
[tex]5x-10x=10x-23-10x\\-5x=-23[/tex]
Divide both sides by -5:
[tex]\frac{-5x}{-5}=\frac{-23}{-5}\\x=\frac{23}{5}[/tex] or [tex]4.6[/tex]
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match the binomial quadratic expressions with their factored form. Tiles x2 − 36 (x − 6)(x + 6) x2 + 16 (3x − 1)(3x + 1) 16x2 + 9 4(x+ 2)(x − 2) 9x2 − 1 4x2 − 16
Answer:
(x-6)(x+6) pairs with x^2-36
9x^2-1 pairs with (3x-1)(3x+1)
4(x+2)(x-2) pairs with 4x^2-16
Step-by-step explanation:
If you're using PLATO this is the correct answer I just did the problem myself
I'll even explain below and drop the image screenshot
The equation x2 − 36 can be factored into (x − 6)(x + 6) using the difference of two squares.
The equation 9x2 − 1 is the difference of two squares, (3x)2 – 12, so it factors into (3x − 1)(3x + 1).
We can factor 4 out of the expression 4x2 − 16 to get 4(x + 2)(x − 2).
The pairs are:
(x-6)(x+6) ⇔ x^2-369x^2-1 ⇔ (3x-1)(3x+1)4(x+2)(x-2) ⇔ 4x^2-16What are binomial expressions?A binomial is an algebraic expression with two terms. as an example, a + b, x - y, etc are binomials. We have a hard and fast of algebraic identities to locate the expansion when a binomial is raised to exponents 2 and three.
What are the sorts of expression in math?There are 3 major types of algebraic expressions which encompass: Monomial Expression, Binomial Expression, and Polynomial Expression.
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4+2(8²×4²)+6+4+6+6+6+2+2
Answer: =2084
4+2(82)(42)+6+4+6+6+6+2+2
=4+264(42)+6+4+6+6+6+2+2
=4+2(64)(16)+6+4+6+6+6+2+2
=4+(2)(1024)+6+4+6+6+6+2+2
=4+2048+6+4+6+6+6+2+2
=2052+6+4+6+6+6+2+2
=2058+4+6+6+6+2+2
=2062+6+6+6+2+2
=2068+6+6+2+2
=2074+6+2+2
=2080+2+2
=2082+2
=2084
Answer: 2048 please mark as brainliest
Step-by-step explanation:
4+2(82)(42)+6+4+6+6+6+2+2
=4+264(42)+6+4+6+6+6+2+2
=4+2(64)(16)+6+4+6+6+6+2+2
=4+(2)(1024)+6+4+6+6+6+2+2
=4+2048+6+4+6+6+6+2+2
=2052+6+4+6+6+6+2+2
=2058+4+6+6+6+2+2
=2062+6+6+6+2+2
=2068+6+6+2+2
=2074+6+2+2
=2080+2+2
=2082+2
=2084
Hello, please help me with this question. Thanks.
Answer:
a) FKR and F'KR form supplementary angles
b) FK = F'K
EF = E'F'
(They are reflected by mirror)
The probability distribution of random variable, X, is defined as follows:
X 0 1 2 3 4
Probability 0 0.3 0.1 0.3 0.3
A) Explain if the above is a valid probability model.
B) Is the described random variable discrete or continuous?
C) What is the expected value (mean) of the probability distribution?
D) Calculate P(X = 3).
E) Calculate P(X < 4).
F) Calculate P(X > 0).
G) Calculate P(X = 5).
H) Calculate P(X = 0).
I) What is the total area under any density curve?
Answer and Step-by-step explanation:
A) For the model to be a probability distribution, it has to follow two conditions:
1) The probability of each value of the discrete random variable is between, and included, 0 and 1:
2) The sum of all probabilities is 1;
In the table shown, the probabilities are from 0 to 0.3 - between 0 and 1;
Adding the probabilities: 0 + 0.3 + 0.1 + 0.3 + 0.3 = 1
Therefore, this model is a valid probability distribution model.
B) They are discrete because each value correspond to a finite number of possible values.
C) Expected value is calculated by
[tex]E(X) = \Sigma xP(x)[/tex]
[tex]E(X) = 0.0 + 1*0.3 + 2*0.1 + 3*0.3 + 4*0.3[/tex]
E(X) = 2.6
D) P(X=3) = P(3), which means probability of 3:
P(X=3) = 0.3
E) P(X<4): probabilities of values of X that are less than 4:
P(X<4) = P(0) + P(1) + P(2) + P(3)
P(X<4) = 0 + 0.3 + 0.1 + 0.3
P(X<4) = 0.7
F) P(X>0) = P(1) + P(2) + P(3) + P(4)
P(X>0) = 0.3 + 0.1 + 0.3 + 0.3
P(X>0) = 1
G) P(X=5) = P(5)
There is no probability of P(5) because the model doesn't "cover" that number.
H) P(X=0) = P(0)
P(X=0) = 0
I) The total area of any density curve is 1 because it represents all the possible values a variable can assume.
The answers are given as- A) Model is a valid probability distribution model.
B ) The described random variable is discrete.
C ) Mean E(X) = 2.6
D) P(X=3) = 0.3
E ) P(X < 4) = 2.6
F ) P(X > 0) = 1
G ) There is no probability of P(5)
H ) P(X = 0) = 0
I ) The total area of any density curve is 1
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
A) For the model to be a probability distribution, it has to follow two conditions:
In the table shown, the probabilities are from 0 to 0.3 - between 0 and 1;
Adding the probabilities: 0 + 0.3 + 0.1 + 0.3 + 0.3 = 1
Therefore, this model is a valid probability distribution model.
B) They are discrete because each value correspond to a finite number of possible values.
C) Expected value is calculated by
E(x) = ∑ P(x)
E ( x) = 0 + ( 1 x 0.3 ) + ( 2 x 0.1 ) + 3 ( 0.3 ) + 4 ( 0.3 )
E(X) = 2.6
D) P(X=3) = P(3), which means a probability of 3:
P(X=3) = 0.3
E) P(X<4): probabilities of values of X that are less than 4:
P(X<4) = P(0) + P(1) + P(2) + P(3)
P(X<4) = 0 + 0.3 + 0.1 + 0.3
P(X<4) = 0.7
F) P(X>0) = P(1) + P(2) + P(3) + P(4)
P(X>0) = 0.3 + 0.1 + 0.3 + 0.3
P(X>0) = 1
G) P(X=5) = P(5)
There is no probability of P(5) because the model doesn't "cover" that number.
H) P(X=0) = P(0)
P(X=0) = 0
I) The total area of any density curve is 1 because it represents all the possible values a variable can assume.
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(3+√2)^2 Please show work
Answer:
[tex] \boxed{\sf {(3+\sqrt{2})}^2 = 11 + 6 \sqrt{2} } [/tex]
Step-by-step explanation:
[tex] \sf \implies {(3 + \sqrt{2} )}^{2} \\ \\ \sf \implies (3 + \sqrt{2} )(3 + \sqrt{2} ) \\ \\ \sf \implies 3(3 + \sqrt{2} ) + \sqrt{2} (3 + \sqrt{2} ) \\ \\ \sf \implies (3 \times 3) + (3 \times \sqrt{2} ) + ( \sqrt{2} \times 3) + ( \sqrt{2} \times \sqrt{2} ) \\ \\ \sf \implies 9 + 3 \sqrt{2} + 3 \sqrt{2} + 2 \\ \\ \sf \implies 9 + 6 \sqrt{2} + 2 \\ \\ \sf \implies 11 + 6 \sqrt{2} [/tex]
Answer:
Exact Form:
[tex]11 +6\sqrt{2}[/tex]
Decimal Form:
19.48528137…
Step-by-step explanation:
Rewrite [tex](3+\sqrt{2} )^2[/tex] as [tex](3+\sqrt{2} )+(3+\sqrt{2} )[/tex]
Expand [tex](3+\sqrt{2} )+(3+\sqrt{2} )[/tex] using the FOIL method.
Apply the distributive property.
[tex]3(3+\sqrt{2} )+\sqrt{2} (3+\sqrt{2} )[/tex]
[tex]3*3 +3+\sqrt{2} +\sqrt{2} (3+\sqrt{2} )[/tex]
[tex]3*3 +3\sqrt{2} +\sqrt{2}* 3+\sqrt{2} \sqrt{2}[/tex]
Simplify and combine like terms.
Simplify each term.
[tex]9+3\sqrt{2} +3\sqrt{2} +2[/tex]
Add 9 and 2
[tex]11+3\sqrt{2} +3\sqrt{2}[/tex]
Add [tex]3\sqrt{2}[/tex] and [tex]3\sqrt{2}[/tex]
11+[tex]6\sqrt{2}[/tex]
The result can be shown in multiple forms.
Exact Form:
11+[tex]6\sqrt{2}[/tex]
and
Decimal Form:
19.48528137
....
A two-way ANOVA with interaction has how many sources of variation?
a. 4
b. 2
c. 3
d. 5
Answer:
B(2)
Step-by-step explanation:
it's in two way factorial design there can be a maximum of two interactions in one main effect
There are 2 sources of variation in a two - way ANOVA with interaction.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A two-way ANOVA with interaction.
Now,
Here, A two-way ANOVA with interaction.
We know that;
Two-way ANOVA include two factors, each with two or more levels (groups), and collectively, factors are often referred to as the main effects in these types of ANOVA. The other source of variation in a two-way ANOVA is the interaction between the two factors.
Thus, Number of sources of variation = 2
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,
Stephanie buys a book in a sale for $19.20 . This sale price is after a reduction of 20%. Calculate the original price of the book
Answer:
$96 is the original price of book
Step-by-step explanation:
keep the unknown value as X
(19.2/X)*100 = 20%
19.2/X = 0.2
19.2/0.2 = X
X = 96
The original price of the book is $24.
When there is a sales, the price of items become cheaper. Items become less expensive when there is a sale.
When there is a 20% reduction in the price of the book, the book becomes 80% (100 - 20%) cheaper. In order to determine the original price of the book, divide the sales price by 80%
Original price = $19.20 / 80%
= $19.20 / 0.8
= $24
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Explain why commutative and associative properties don’t hold true for subtraction and division but the identity properties do ?
Glad I can help you!!
Answer:
Definition: The associative property states that you can add or multiply regardless of how the numbers are grouped. By 'grouped' we mean 'how you use parenthesis'. In other words, if you are adding or multiplying it does not matter where you put the parenthesis.
The word "commutative" comes from "commute" or "move around", so the Commutative Property is the one that refers to moving stuff around. For addition, the rule is "a + b = b + a"; in numbers, this means 2 + 3 = 3 + 2. For multiplication, the rule is "ab = ba"; in numbers, this means 2×3 = 3×2.
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