Answer:
72 dollars
Step-by-step explanation:multiplrf the two
Write a solution to the equation x^2 = 5 using a radical.
The solution is ± √5
The value of the equation is given by x = ± √5
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is given by
x² = 5 be equation (1)
On simplifying the equation , we get
x² = 5
Taking the radical form , radical notation is the usage of a root in an expression, such as the square or cube root
So , taking square roots on both sides of the equation , we get
The value of x = ±√5
Therefore , the value of A is ±√5
Hence , The value of the equation is given by x = ± √5
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How do you do this question?
Answer:
D and E
Step-by-step explanation:
y = (x + 1)²
If x = t + 1, then y = (t + 1 + 1)² = t² + 4t + 4.
If x = e²ᵗ + 1, then y = (e²ᵗ + 1 + 1)² = e⁴ᵗ + 4e²ᵗ + 4.
If x = cos t, then y = (cos t + 1)² = cos²t + 2 cos t + 1.
If x = t − 1, then y = (t − 1 + 1)² = t².
If x = t, then y = (t + 1)² = t² + 2t + 1.
Jenna buys water from a store which allows you to bring your own containers of water and fill them up. The only catch is that you must honestly type into the store's computer how many gallons of water you took in total, written as a decimal, and then pay the amount the computer indicates.
Today, Jenna takes four containers with her. The first has a 3/4 gallon capacity, the second has a 1/8 gallon capacity, the third has a 4/5 gallon capacity, and the fourth has a 17/125 gallon capacity. She fills up all of the containers with water. What decimal should Jenna type into the computer?
Answer:
1.811
Step-by-step explanation:
To get the decimal Jenna should type into the computer you simply have to get the decimal value of each fraction and add them all together.
[tex]\frac{3}{4}=.75[/tex]
[tex]\frac{1}{8} =.125[/tex]
[tex]\frac{4}{5}=.8[/tex]
[tex]\frac{17}{125}=.136[/tex]
Then just add all the decimals together.
Find the slope of (-3,9) and (-3,-5)
Answer:
undefined
Step-by-step explanation:
the slope is found by finding the change in y over the change in x. in this instance, you can do 9--5/-3--3... which is the same as 9+5/-3+3. the result is 14/0. Any fraction that has a denominator of zero is undefined, so the line would be straight up and down.
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How is 727.526 in word form
Answer:
seven hundred twenty-seven and five hundred twenty-six thousandths
Step-by-step explanation:
Hope this helps:)
Help!!!!!!!! I will give 10 points!
18:
multiply both sides
move the constants to the right
calculate
I added a picture if you need it. I hope this helps
Rename 7/12 and 1/8 using the least common denominator Please help
Answer:
14/24 and 3/24
Step-by-step explanation:
The LCM is 24, so divide the denominator by the LCM, and thats the number you multiply the numerator by
A boy gets 560 marks out of 700. What is the percentage of his marks?
Answer:
80%
Step-by-step explanation:
lets say he gets x%, which is x/100.
then the equation is: 560/700=x/100
and to solve it, first multiply each side by 700: 560=7x
then divide both sides by 7, and you get: x=80
so the answer is 80%
The hypotenuse of a right triangle is 5inches long. The shorter leg is 1 inch shorter than the longer leg. Find the side lengths of the triangle.
Length of the shorter leg:
Length of the longer leg:
Length of the hypotenuse:
Answer:
Hypotenuse = 5 in
Longer leg = 4 in
Shorter leg = 3 in
Step-by-step explanation
The longer leg = x
The shorter leg = x - 1
Now through Pythagoras theorem:
hyp^2 = leg1^2 + leg2^2
5^2 = x^2 + (x - 1)^2
25 = x^2 + x^2 - 2 x + 1^2
25 = 2 x^2 - 2 x + 1
2 x^2 - 2 x - 24 = 0
2 ( x^2 - x - 12) = 0
2 (x - 4) (x + 3) =0
then x = 4 or x = - 3
We use the positive answer since we are looking for a length
then longer leg is 4 inches long,
and therefore the shorter one is one inch shorter than 4 in . That is:
shorter leg = 3 inches
A student claims that 83.8-5 is greater than 1.
Is this correct?
Answer:
No
Step-by-step explanation:
Which of the following functions represents the values in the table below?
x 0 2 4 6
f(x) 2 10 66 218
a f(x) = -3x - 2x 2
b f(x) =x^3/2
c f(x) = 2 + x 3
d f(x) = 3x - 2
Answer:
f(x) = 2 + x^3
Step-by-step explanation:
The function f(x)=2+x^3 satisfies all the values given in the table.
What is a function?
Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
For the third option C we will check all the values of x in the function.
[tex]f(x)=2+x^3\\\\\\f(0)=2+0^3=2\\\\\\f(2)=2+2^3=2+8=10\\\\\\f(4)=2+4^3=2+64=66\\\\\\f(6)=2+6^3=2+216=218[/tex]
Hence the function f(x)=2+x^3 satisfies all the values given in the table.
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Seed are often treated with fungicides to protect them in poor draining, wet environments. A small-scale trial, involving five treated and five untreated seeds, was conducted prior to a large-scale experiment to explore how much fungicide to apply. The seeds were planted in wet soil, and the number of emerging plants were counted. If the solution was not effective and four plants actually sprouted, what is the probability that a b c all four plants emerged from treated seeds
Answer:
2.38%
Step-by-step explanation:
Given that:
The population size involving numbers of treated and untreated seeds N = 10
the number of seeds that are treated which are observed = 5
the number of seeds that sprouted 'n' = 4
Now, use the method of hypergeometric probability, we have the formula:
[tex]p(y) = \dfrac{(^r_y)(^{N-r}_{n-y})}{(^N_n)}[/tex]
∴
[tex]p(4) = \dfrac{(^5_4)(^{5}_{0})}{(^{10}_4)}[/tex]
[tex]p(4) = \dfrac{\dfrac{5!}{4!(5-4)!}* \dfrac{5!}{0!(5-0)!} }{\dfrac{10!}{4!(10-4)!} }[/tex]
[tex]p(4) = \dfrac{\dfrac{5!}{4!}* \dfrac{5!}{(5)!} }{\dfrac{10!}{4!(6)!} }[/tex]
[tex]p(4) = \dfrac{5*1 }{210}[/tex]
p(4) = 0.0238
p(4) = 2.38%
If BC = XY and XY = 8, then BC = 8
A Reflexive
B Transitive
Symmetric
none of the above
Answer:
Transitive
Step-by-step explanation:
It's like a train. Since bc is equal to xy and xy is 8.Then the value of xy equals to bc.
Moses draws a picture that measures 8 inches by 7 inches. What is the area of the picture?
Answer:
I'm pretty sure its 56 inches squared
Preview Activity 2.4.1. Consider the function f ( x ) = tan ( x ) , and remember that tan ( x ) = sin ( x ) cos ( x ) . What is the domain of f ? Use the quotient rule to show that one expression for f ′ ( x ) is f ′ ( x ) = cos ( x ) cos ( x ) + sin ( x ) sin ( x ) cos 2 ( x ) . What is the Fundamental Trigonometric Identity? How can this identity be used to find a simpler form for f ′ ( x ) ? Recall that sec ( x ) = 1 cos ( x ) . How can we express f ′ ( x ) in terms of the secant function? For what values of x is f ′ ( x ) defined? How does this set compare to the domain of f ?
Answer:
Step-by-step explanation:
Given the function f(x) = tan (x)
From trigonometry identity, tan (x) = sin(x)/cos(x)
f(x) = sin(x)/cos(x)
Using the quotient rule to find the derivative of the function, we will have;
f'(x) = cos (x)cos (x) - sin (x)[-sin (x)]/ cos²x
f'(x) = cos²x - sin²x/ cos²x
Divide through by cos²x
f'(x) = cos²x/cos²x + sin²x/cos²x / cos²x/cos²x
f'(x) = 1 + sin²x/cos²x / 1
f'(x) = 1 + (sin²x/cos²x)
f'(x) = 1 + tan²x
From trig identity, 1 + tan²x = sec²x
Hence, f'(x) = sec²x
Hence the expression f'(x) in terms of the secant function is sec²x
f'(x) = 1/cos²x
For the function to be defined, it means that cos²x ≠ 0
cos²x ≠ 0
cos x ≠ 0
x ≠ cos⁻¹0
x ≠ 90⁰
Hence the value of x must not be equal to 90 for the function to be defined. x can be defined at when x = 0 since cos 0 = 1, the equation will becomes f'(0) = 1/cos²0 = 1/1 = 1.
Hence the function is defined at 0≤x<90
Big chickens: The weights of broilers (commercially raised chickens) are approximately normally distributed with mean 1535 grams and standard deviation 169 grams. Use the TI-84 Plus calculator to answer the following. (a) What proportion of broilers weigh between 1136 and 1243 grams? (b) What is the probability that a randomly selected broiler weighs more than 1600 grams? (c) Is it unusual for a broiler to weigh more than 1710 grams? Round the answers to at least four decimal places. Part 1 of 3 The proportion of broilers that weigh between 1136 and 1243 grams is .
Answer:
(a) 0.0329
(b) 0.3502
(c) It is not unusual for a broiler to weigh more than 1710 grams.
Step-by-step explanation:
Using the TI-84 Plus calculator:
z-score is z = (x-μ)/σ,
where
x is the raw score
μ is the population mean
σ is the population standard deviation.
mean is 1535 grams and standard deviation is 169 grams.
(a) What proportion of broilers weigh between 1136 and 1243 grams?
For x = 1136 grams
z = (x-μ)/σ
= 1136 - 1535/169
= -2.36095
Determining the probability value from Z-Table:
= P(x = 1136)
= P(z =-2.36095)
= 0.0091142
For x = 1243 grams
z = (x-μ)/σ
= 1243 - 1535/169
= -1.72781
Determining the probability value from Z-Table:
P(x = 1243) = 0.042011
The proportion of broilers weigh between 1136 and 1243 grams is calculated as:
P(x = 1243) - P(x = 1136)
= 0.042011 - 0.0091142
= 0.0328968
≈ 0.0329
(b) What is the probability that a randomly selected broiler weighs more than 1600 grams?
For x = 1600 grams
z = (x-μ)/σ
= 1600 - 1535/169
= 0.38462
Determining the Probability value from Z-Table:
P(x<1600) = 0.64974
P(x>1600) = 1 - P(x<1600) = 0.35026
The probability that a randomly selected broiler weighs more than 1600 grams is 0.3502
(c) Is it unusual for a broiler to weigh more than 1710 grams?
For x = 1600 grams
z = (x - μ)/σ
= 1710 - 1535/169
= 1.0355
P-value from Z-Table:
P(x < 1710) = 0.84978
P(x > 1710) = 1 - P(x < 1710) = 0.15022
From the above calculation, it is not unusual for a broiler to weigh more than 1710 grams because 15.022% of the broilers weigh 1710 grams.
Can someone help me please
Answer:
[tex]y = - \frac{2}{3} x + 7[/tex]
You get this equation when you plug in the values to find out the y intercept.
Multiply both sides of the original equation by x, and find the solution set of the new equation.
X+1=2
Answer: (0, 1) Usually, we put the solutions in parenthesis.
Step-by-step explanation: x(x+1) = x(2) which = x²+ x = 2x = x² + x - 2x = 0
x² - x = 0. Now we divide by x which = x(x - 1) = 0 and the new solution set is x = 0 and x -1 = 0 which equals x = 1
Sam earns $50.25 each week working a part time job. He works the same amount of
time each day for 5 weeks. What is the total amount of money Sam earns during the 5 week period?
Answer:
$251.25
Step-by-step explanation:
50.25*5= 251.25
If a hotel has 126 rooms. 4 floors in all . Ok if 334 rooms have been cleaned how many are left to be cleaned
Answer:
170 rooms left to clean.
Step-by-step explanation:
If you are implying that there are 126 rooms for each floor of the 4 floors total.
Given the scenario that there are 126 rooms for each floor with 4 floors total with 334 of the rooms cleaned. The rooms left to clean are calculated by finding the difference between the total amount of rooms, and the rooms cleaned.
This relationship can be given by:
#total rooms - #cleaned rooms = #rooms left to clean.
The total rooms are found by multiplying the number of floors by the number of rooms on each floor: 126 × 4 = 504 rooms total.
Now we have all the variables needed, and can solve for the missing one:
(126×4) - (334) = #rooms left to clean
504 - 334 = 170 = #rooms left to clean
A school has a total of 900 pupils 400 are boys the rest are girls. What's the ratio of boys to girls? .
Answer:
it should be 4:5 I hope that helps
what function does this graph represent
Answer:
it would be b
Step-by-step explanation:
-.2 will cause reflection so eliminate a and c
if you do -1 than it will translate down so it has to be b
Answer:
f(x)= 0.2 (x - 2)^2 + 1
Step-by-step explanation:
I did the test.
square root of 5, 0.6, 4/9, 0.7, square root of 2
I don't understand this question can you help me pls?
Answer:
the answer for the number of stickers in all 4 boxes is 1200.
Step-by-step explanation:
there are 100 stickers in each roll and a box has 3 rolls. There are 12 rolls in total so you would do 100 X 12 which is 1200.
Four friends made 55 cupcakes and shared them equally.
How many cupcakes did each friend get?
Out of the 55 cupcakes shared equally among four friends each friend will have 13 cupcakes.
What is the unitary method?A unitary method is a mathematical technique for finding the value of a single unit and then deriving the required units by multiplying with the single unit.
To find how many cupcakes each friend gets we can use the unitary method.
Given four friends made 55 cupcakes, therefore each friend can have (55/4) = 13.75 cupcakes, But the no. of cupcakes should be integers.
∴ Each friend can have 13 cupcakes.
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What is the solution for the equation?
-5/2 = 3/4 + n
Answer: N= -1/4
Step-by-step explanation:
2 can go into 5 2 times which give you 2 wholes and you have 1 left over
Since you have 3/4 that extra one left would give you a whole because you can add it to the 3/4.
evaluate the exponent 4 the power of 3
1. 12
2. 81
3. 7
4. 64
________________________________
ps I said 4 to the power of because I put a tiny 3 next to the 4
Answer:
64 or 81
Step-by-step explanation:
If it is 4^3 it would be 4*4*4=64
If it is 3^4 it would be 3*3*3*3=81
(I don't know which one your asking about so I put both)
Tia types 66 words in 3 minutes. She wants to know how many words she can type in 5 and 10 minutes if she keeps the same rate. How many words does Tia type in 1 minute? Find the unit rate.
Answer:
Step-by-step explanation:
she can type 22 words in 1 minute and it takes her .045 seconds to type 1 word
she can type 110 words in 5 minutes and 220 words in 10 minutes.
ASAP
Which numbers are solutions of 4p+6<3p?
Choose exactly two answers that are correct.
−12
−9
−6
6
Answer:
See below
Step-by-step explanation:
Solving inequality:
4p + 6 < 3p4p - 3p < 6p < 63 of provided answers are correct:
-12, -9, -6If given correct, any combination of two can be shown as answer:
-12, -9-12, -6-9, -6Answer:
-12 and -9
Step-by-step explanation:
I just answered the problem on a quiz
Tap to show graph...
the endpoints of a diameter are
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12
)
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2
,
12
)
and
(
−
10
,
−
4
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-
10
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