The answer for the given function f(6)= square root of 6 is 2.449 approx.
Given :
f(6) = square root of 6
Function :A function relates an input to an output. In simple word it is a relation between a set of inputs having one output each.
"f(x) = ... " is the classic way of writing a function.
f(6) = √6
To determine the f(6) = √6 we will solve the square root of 6.
So, the value of √6 will be 2.449 approx.
Then,
f(6) = √6
f(6) = 2.449
To learn more about functions visit :
https://brainly.com/question/546248
#SPJ9
I am still confused. Can someone help? I need to show work aswell
Answer:
1. 7/2
Hope this helps a little. :)
Can I get some help on this please? I attached the picture already.
Step-by-step explanation:
2 cups of sugar mix with 7 cups of water.
so, 2/2 = 1 cup of sugar mixes therefore with 7/2 = 3.5 cups of water.
and 5 cups of sugar (= 5×1 cups) mix with 5×3.5 = 17.5 cups of water.
not 21. not 28. it is 17.5 cups of water !
√4x + 7 = 3 slove this please
Answer:
to solve for X, first remember that Y=mx+b
Step-by-step explanation:
1 Add 77 to both sides.
4x=3+7
4x=3+7
2 Simplify 3+73+7 to 1010.
4x=10
4x=10
3 Divide both sides by 44.
x={10}{4} x=10/4x = 4 10
4 Simplify 10/4
4
10
to \5/2
2
5
.
x= 5/2
x=
2
5
Done
Decimal Form: 2.5
what is 1 and 3/4 + 7/8
36% adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomly selected. Find the probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is (a) exactly three, (b) at least four, (c) less than eight.
A) Probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is exactly three is;
P(X = 3) = 0.2397
B) Probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is at least four is;
P(x ≥ 4) = 0.50748
C) Probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is less than eight is;
P(x < 8) = 0.99051
How to solve Binomial Probability Distribution?The formula for binomial Probability distribution is;
P(X = x) = ⁿCₓ * p^(x) * (1 - p)^(n - x)
We are told that 36% adults favor the use of unmanned drones by police agencies. Thus;
p = 30% = 0.3
sample size; n = 12
A) Probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is exactly three is;
P(X = 3) = ¹²C₃ * 0.3³ * (1 - 0.3)^(12 - 3)
P(X = 3) = ¹²C₃ * 0.3³ * 0.7⁹
P(X = 3) = 0.2397
B) Probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is at least four is;
P(x ≥ 4) = P(4) + P(5) + P(6) + P(7) + P(8) + P(9) + P(10) + P(11) + P(12)
P(x ≥ 4) = 0.50748
C) Probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is less than eight is;
P(x < 8) = 1 - (P(8) + P(9) + P(10) + P(11) + P(12))
P(x < 8) = 1 - 0.00949
P(x < 8) = 0.99051
Read more about Binomial Probability Distribution at; https://brainly.com/question/15246027
#SPJ1
PLEASE SHOW YOUR WORK AND PLEASE HELP ME ON THIS QUESTION THANK YOU.
Mrs. Steinberg had 3.23 pounds of ground beef to make 0.5 lb hamburgers. Which two expressions shows how to correctly solve for the number of hamburgers Mrs. Steinberg could make?
Step-by-step explanation:
number of hamburgers for x pounds of ground meat is
h(x) = x/0.5
x = 3.23
h(3.23) = 3.23/0.5 = 6.46
so, he could make 6 hamburgers and had some meat (0.23 pound) left.
what is 25% of 90 ..............
Answer: 22.5
Step-by-step explanation:
25% is [tex]\frac{1}{4}[/tex] of 100%
So, 90/4 = 22.5
Answer:
22.5
Step-by-step explanation:
10% of 90 is 9
Multiply that by 2 then you get 18.
Half of 10% will give you the remaining 5% which is 4.5
Then add 18 and 4.5 you 22.5
19. Antonio needs to buy 150 pounds of dog food for the local
dog shelter. The graph shows the relationship between the
number of bags of dog food and the total weight of the do
food at Pets Galore. Another store, Healthy Pets, sells dog
food in 50-pound bags for $85.95 per bag. If one bag of
food from Pets Galore costs $48.15, how much would
Antonio save by buying 150 pounds of dog food from Pets
Galore instead of from Healthy Pets?
Antonio will save $113.4 after calculating using mensuration and buying from Pets Galore instead of Healthy pets.
As per the question statement, Antonio needs to buy 150 pounds of dog food for the local dog shelter. Healthy Pets, sells dog food in 50-pound bags for $85.95 per bag and Pets Galore sells one bag for $48.15
We are supposed to calculate the amount of money saved by Antonio if he buys 150 pounds of dog food from Pets Galore instead of from Healthy Pets.
Using concept of mensuration,
Quantity of dog food in one bag = 50 pounds
Quantity required of dog food = 150 pounds
Therefore number of bags required = 150/50 = 3
Price of dog food at Pets Galore per bag = $48.15
Total money to be paid to Pets Galore for 3 bags = $48.15*3 = $144.45
Total money to be paid to Healthy Pets for 3 bags = $85.95*3 = $275.85
Therefore money saved = $275.85 - $144.45 = $113.4
Mensuration: Act of measuring or measure. Here we are measuring the amount of money saved using this concept and applying simple mathematical formula.
To learn more about Mensuration click on the link given below:
https://brainly.com/question/14312097
#SPJ1
Functions of a polynomial
graph f(x)=(x+5)^2
The graph of the quadratic equation is shown in the image attached below.
How to graph a quadratic equation
In accordance with algebra fundamental theorem, we can construct a quadratic equation by knowing the locations of at least three points on Cartesian plane. Herein we find a quadratic equation in vertex form, whose formula is described below:
y - k = C · (x - h)²
Where:
h, k - Coordinates of the vertex.C - Vertex constant.By using this expression, we can find the locations of the vertex and intercepts of the parabola. Now we proceed to find all the required information:
Vertex
y = (x + 5)²
(h, k) = (- 5, 0)
x-Intercepts
(x + 5)² = 0
x = - 5
y-Intercept
y = (0 + 5)²
y = 25
Another point
x = - 1
y = (- 1 + 5)²
y = 4²
y = 16
Finally, we mark the three points on the Cartesian plane and pass a curve through them. The result is shown in the image attached below.
To learn more on quadratic equations: https://brainly.com/question/1863222
#SPJ1
What are the correct answers? 3 are correct
The words related to the mathematical operation of division are:
Separate.Cut.Quotient.Renumber.Which are the words related to divisions?
A division between two numbers tells us how many times the denominator can be fit into the numerator (the numerator is the number being divided by the denominator).
The "math word" used for divisions is "quotient"
The quotient between two numbers is equivalent to say the "outcome of the division between two numbers"
So that is one of the correct options.
Other correct option is "separate"
Like in the word problem example "3 friends separate evenly 9 candy between them". Here we have a division.
Similar, "cut" is also related to divisions.
The word problem "A piece of wire of 1 meter is cut into 3 pieces, how long is each one?"
Again, this is a division problem.
The last correct option is renumber, which is mostly a way of rewritting a number, but it uses divisions to do it.
If you want to learn more about divisions:
https://brainly.com/question/25289437
#SPJ1
See picture. Sbhdhdjdjddjxhdhdhdh
Solve the equation, 1/3|x−8|=10. Select each correct answer. Responses x=−30 x equals negative 30 x=−22 x equals negative 22 x=103 x equals 10 over 3 x = 8 x, = 8 x = 30 x, = 30 x = 38
The solution to the equation is x = 38
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the solution to the equation?The equation is given as
1/3|x - 8| = 10
Multiply through by 3
So, we have
|x - 8| = 30
Remove the absolute bracket
So, we have
x - 8 = 30
Add 8 to both sides of the equation
So, we have
x = 38
Hence, the solution to the equation is x = 38
Read more about equations at
https://brainly.com/question/18831322
#SPJ1
Question content area top Part 1 The calorie count of a serving of food can be computed based on its composition of carbohydrate, fat, and protein. The calorie count C for a serving of food can be computed using the formula X=5h+8 f+5p, where he is the number of grams of carbohydrate contained in the serving, f is the number of grams of fat contained in the serving, and p is the number of grams of protein contained in the serving. Solve this formula for f, the number of grams of fat contained in a serving of food
Using the calorie count C for a serving of food C =5h + 8f + 5p, the formula for f is derived to be; f = (C - 5h - 5p) / 8
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
WE have been Given data that C =5h + 8f + 5p
Where C is the calorie count, h is the number of grams of carbohydrate, f is the number of grams of fat and p is the number of grams of protein
Now solving for f in the given equation;
C = 5h + 8f + 5p
Then f the subject of formula;
C - 5h - 5p = + 8f
8f = C - 5h - 5p
Now dividing through by 8
f = (C - 5h - 5p) / 8
Hence, The number of grams of fat, f, contained in a serving of food is; f = (C - 5h - 5p) / 8
Learn more about equations here;
https://brainly.com/question/10413253
#SPJ1
At age 18, someone sets up an IRA (individual retirement account) with an APR of 7%. At the end of each month he deposits
$60 in the account. How much will the IRA contain when he retires at age 65? Compare that amount to the total deposits made
over the time period.
After retirement the IRA will contain S
(Do not round until the final answer. Then round to the nearest cent as needed.)
The amount that would be in th IRA when he retires at age 65 is $21,932.15.
How much would be in the account?An annuity is a series of payment that is made over a period of time. In this question, the annuity is monthly which lasts for 47 years (65 - 18). An ordinary annuity is when the payments are made at the end of the period. An annuity due is when the payment is made at the beginning of the period.
The amount deposited increases by the amount you put in it every month and by the interest rate the account accrues. The account earns an APR, this means that interest would be compounded yearly.
Total amount of deposits = amount deposited monthly x number of months in a year x number of years
$60 x 12 x 47 = 33,840
The formula that can be used to determine the future value of the account in 47 years is:
Monthly deposit x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
r = interest rate = 7% / 12= 0.583%n = number of periods = 12 x 47 = 564$60 x [{(1.00583)^564 - 1} / 0.07] = $21,932.15
To learn more about annuities, please check: brainly.com/question/24108530
#SPJ1
Estimate the value of 50.75 x 0.18
Answer:
10
Step-by-step explanation:
50.75 = 50
0.18 = 0.2
50x 0.2 = 50/5
50/5 = 10
s = t^4 − 4t^3 − 36t^2 + 25t
a)At what time does the particle have a velocity of 25 m/s? (Enter your answers as a comma-separated list.)
(b)
At what time is the acceleration 0? (Round your answer to two decimal places.)
When t=0 and t=6s is the time at which the particle have a velocity of 25 m/s and t=3s is the time when acceleration is 0.
What is Acceleration?a vehicle's capacity to gain speed within a short time
Given s = t^4 − 4t^3 − 36t^2 + 25t
v=d/dt(s)=4t^3-12t^2-72t+25
the particle have a velocity of 25 m/s
So 4t^3-12t^2-72t+25=25
=4t^3-12t^2-72t
=4t(t^2-3t-18)=0
t=0 and
t^2-3t-18=0
(t+3)(t-6)=0
So t=0, t=-3 and t=6
As time>=0, So t=0 and t=6.
Now we required to find acceleration,
Accelaration=d/dt(v)
=d/dt(4t^3-12t^2-72t+25)
=12t^2-12t-72
t=12±√144-4(12)(-72)/24
t=12±60/24
t=12+60/24=3 and 12-60/24=-2
So t=3s
Therefore t=0 and t=6s is the time at which the particle have a velocity of 25 m/s and t=3s is the time when acceleration is 0.
To learn more on Acceleration click:
https://brainly.com/question/13903485
#SPJ1
HELP I NEED IT NOW WILL GIVE BRAINLIST AND POINTS!!!!!!! Calculate the rate between the points. Is it proportional or no????
Answer: Yes it is proportional
Step-by-step explanation: First I used two points on paper and used the formula y2-y1/x2-x1 and used these two points (20,100) and (15,175) and got -15, And finally it is proportional at a negative rate!
Hope This helps owo
Simplify y to the negative seventh power over x to the negative third power.
x3y7
1 over quantity x times y to the fourth power end quantity
x cubed over y to the seventh power
(xy)−10
Simplifying the expression y to the negative seventh power over x to the negative third power using law of exponents gives; x³y⁷
How to use laws of exponents?Some of the Laws of Exponents are;
When multiplying similar bases, retain the base as same and add the exponents. When raising a base with a power raised to another one, retain the base the same and multiply the exponents. When dividing like bases, keep the base the same and subtract the denominator exponent from the numerator exponent.We want to simplify y to the negative seventh power over x to the negative third power. This is expressed as;
y⁷/x⁻³
Now, x⁻³ can also be expressed as 1/x³. Thus, our original equation is now; y⁷/(1/x³) = x³y⁷
Read more about Laws of Exponents at; https://brainly.com/question/11761858
#SPJ1
will mark brainliest
Solve for x: 4(x + 2) = 3(x − 2)
−2
−4
−10
−14
Answer:
4x+8=3x-6
4x-3x=-6-8
x= -14 answer
hope you understand
Answer:
[tex]x=-14[/tex]
Step-by-step explanation:
Given coefficients: a = 4, b = x, c = 2
[tex]4\left(x+2\right)\\=4x+(4\cdot \:2)\\=4x+8\\3\left(x-2\right)\\=3x-(3\cdot \:2)\\=3x-6\\4x+8=3x-6\\4x+8-8=3x-6-8\\4x=3x-14\\4x-3x=3x-14-3x\\=-14[/tex]
The tank has 28inch diameter and 66 inch height what’s the surface area of the tank?
The surface area of the tank is 7038 square inches
The surface area can be calculated as follows
The diameter is 28 inch
radius= diameter/2
= 28/2
= 14
Height= 66 inch
The surface area can be calculated as follows
2πrh + 2πr²
= 2(3.142)(66) + 2(3.142)(14²)
= 5806+2(616)
= 5806+1232
= 7038 square inches
Hence the surface area of the tank is 7038 square inches
Read more on surface area here
https://brainly.com/question/4598530
#SPJ1
A company started the year with no supplies. During the year they bought $200 worth of supplies on account and later paid $150 of this debt. If there were $40 worth of supplies left at the end of the year, what is the supplies expense for the period?
160?
Step-by-step explanation:
Find three solutions for this linear function and choose the correct graph by clicking on it G(x) 3x - 2
The three solutions to the linear equation are (0, -2), (1, 1) and (2, 4)
What are linear equations?Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the three solution to the linear equation?The linear equation is given as
g(x) = 3x - 2
To determine the solution to the linear equation, we set the value of x to some values
say x = 0, 1 and 2
Substitute x = 0, 1 and 2 in g(x) = 3x - 2
g(0) = 3(0) - 2 = -2
g(1) = 3(1) - 2 = 1
g(2) = 3(2) - 2 = 4
Hence, the three solutions to the linear equation are (0, -2), (1, 1) and (2, 4)
Read more about linear equations at
https://brainly.com/question/1884491
#SPJ1
Which of the following is an example of a census?
a. Weigh every child at an elementary school for a study of physical fitness at the school.
b. Survey parents whose children attend a local elementary school by randomly selecting 50 parents from the school’s records.
c. The U.S. Population Census
d. Poll students at a college by including a pop-up window in the online registration form. Students have to answer the survey questions before they can register. Try to catch the remaining students at the admissions window when they register in person.
It should be noted that the example of a census is C. The U.S. Population Census.
What is census?It should be noted that census simply has to do with knowing the population of the people in a particular place.
Therefore, it should be noted that the example of a census is The U.S. Population Census. It should be noted that this information is important to get the number of people that are living in the United States.
This can also be divided into females and malee. Therefore, the correct option is C.
Learn more about census on:
brainly.com/question/25846785
#SPJ1
Construct a table of values for the following functions using the integers from -4 to 4.
a. F(x)=6/x-2
b. r(x)=6x+12/x²-4
These are our two tables of values for the following functions using the integers from -4 to 4.
What is function?A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
Given:
The given functions using the integers from -4 to 4 are
a. F(x)=6/x-2b.
r(x)=6x+12/x²-4
According to given question we have
f(x) = 6/x - 2
Now we just need to evaluate the function in all the given points:
a) f(x) = 6/x - 2
Now we can put the value
f(-4) = 6/(-4) - 2 = -3/2 - 4/2 = -7/2
f(-3) = 6/-3 - 2 = -4
f(-2) = 6/-2 - 2 = -5
f(-1) = 6/-1 - 2 = -8
f(0) is undefined
f(1) = 6/1 - 2 = 4
f(2) = 6/2 - 2 = 1
f(3) = 6/3 - 2 = 0
f(4) = 6/4 - 2 = -1/2
b. r(x)=6x+12/x²-4
Now we can put the value
r(-4) = 6(-4)+12/(-4)²-4=-27.25
r(-3) = 6(-3)+12/(-3)²-4=-20.66
r(-2) = 6(-2)+12/(-2)²-4=-13
r(-1) = 6(-1)+12/(-1)²-4= 2
r(0) = 6(0)+12/(0)²-4= ∞
r(1) = 6(1)+12/(1)²-4 =14
r(2) = 6(2)+12/(2)²-4=11
r(3) = 6(3)+12/(3)²-4 =15.33
r(4) = 6(4)+12/(4)²-4=20.75
Therefore, these are our two tables of values for the following functions using the integers from -4 to 4.
Learn more details about function here:
https://brainly.com/question/12431044
#SPJ1
THE FIRST ONE TO ANSWER GETS BRAINLIEST OR FIVE STARS!!! The coordinates of the midpoint of line segment AB are (-2, 1), and the coordinates of A are (2, 3).
What are the coordinates of B?
Answer: (5, -6)
Step-by-step explanation:
I'm not really 100% sure if i can put in detail but this is the correct answer
2. Elisa bought 5 bracelets for a total of $25.95. If the bracelets were the same cost, about how much did each bracelet cost?
$5.19
$125.00
$4.00
$5.00
Answer: A. 5.19$
Step-by-step explanation: divide 25.95 by 5
7 is greater than 21 times
7 is greater than 21 times by 147 (7x21).
Greater than denotes that a variable or number exceeds a specified upper limit. Conversely, greater than or equal to indicates that the value is greater than or equal to the specified limit. The greater-than symbol is denoted by the prefix >, while the greater-than or equal-to sign is denoted by the prefix.
The symbols greater than and less than signify a disparity between two values. ">" and "" are used to indicate greater than and less than, respectively. Find more mathematical symbols right here.
The number 2 is 5 more than the number -3. Detailed explanation: Any natural number, including zero and both positive and negative numbers, is an integer.
Learn more about greater than here
https://brainly.com/question/25689052
#SPJ9
NO LINKS!!! Please assist me part 3a
Plot the points in the coordinate plane. Then determine whether AB and CD are congruent. Explain
Answer:
AB and CD are congruent.
Step-by-step explanation:
Given points:
A = (4, 1)B = (2, 6)C = (-2, 2)D = (-4, -3)To determine if AB and CD are congruent, calculate the length of the two lines using the distance formula.
[tex]\boxed{\begin{minipage}{7.8 cm}\underline{Distance Formula}\\\\$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are the two endpoints.\end{minipage}}[/tex]
[tex]\begin{aligned}\implies AB & = \sqrt{(x_B-x_A)^2+(y_B-y_A)^2}\\& = \sqrt{(2-4)^2+(6-1)^2}\\& = \sqrt{(-2)^2+(5)^2}\\& = \sqrt{4+25}\\& = \sqrt{29}\end{aligned}[/tex]
[tex]\begin{aligned}\implies CD & = \sqrt{(x_D-x_C)^2+(y_D-y_C)^2}\\& = \sqrt{(-4-(-2))^2+(-3-2)^2\\& = \sqrt{(-2)^2+(-5)^2}\\& = \sqrt{4+25}\\& = \sqrt{29}\end{aligned}[/tex]
Therefore, as AB = CD, we can conclude that AB and CD are congruent.
Please answer all questions asked
Answer:
f(1/x)=5+3x/6+7x ; 9(x-2)=[tex]\sqrt{x} ^2-8x+12[/tex] the [tex]\sqrt{x}[/tex] goes over the -8x+12
Between 9:00 am and 4:00 pm the temperature rose from 68° to 85°. What was the percent increase in temperature between 9:00 am and 4:00 pm?