Answer:
the answer is (x – 4)(x2 + 4x + 16).
Answer:
Step-by-step explanation:
Jan completes 50 trials of pulling colored socks out of a box. She pulled green 10
times. If there are 40 socks in the box, how many of them are probably green? *
Answer:12
Step-by-step explanation:
Professor Slughorn has created and sold three different magical potions where if a person drinks them, he or she magically can fly, breathe underwater, or read minds. He sold ten more flying potions than mind reading potions. The number of breathing underwater potions he counted was two more than three times the number of mind reading potions. If he sold a total number of 102 potions, how many were for breathing underwater?
Answer:
56 underwater breathing potions
Explanation:
Create variables to represent the different potions
- flying = f underwater breathing = b mind reading = m
Make equations to represent all of the information you've been given.
- The number of flying potions is ten more than the number of mind reading potions. f = r + 10
- The number of water breathing potions is two more than three times the number of mind reading potions. b = 3r + 2
- The total number of potions is 102. f+b+r = 102
Substitute the variable in your equation for the total number of potions.
102 = (r +10) + (3r + 2) + r = 102
Combine like terms.
102 = 5r + 12
Solve for r.
90 = 5r
18 = r
You have to find the number of underwater breathing potions, b. Go back the equation for b and substitute 18 for r.
b = 3r + 2
b = 3(18) + 2
b = 56
So, your total number of underwater breathing potions is 56.
What is the value of C-F
Answer:
The sweat chloride reference value is less than 30 mmol/L. A value of more than 60 mmol/L of chloride in the sweat is consistent with a diagnosis of cystic fibrosis. The values of 30-60 mEq/L may represent heterozygous carriers, these carriers cannot be accurately identified with a sweat chloride test.
A boy flying a kite lets out 300 feet of string. The height of the kite is 185 feet. What is the angle
formed between the string and the ground?
Answer:
The string, the height and the ground form a right triangle
The hypotenuse = 300
height =185 = opposite side
sine of the angle = 185 / 300 = 0.6166666667
arc sine (.616666666666) =
38.073 degrees
Step-by-step explanation:
If mTUV = 9x + 1, and mTUW = 7x - 9, and mWUV = (5x-11), find the value of x
Answer:
x = 7
Step-by-step explanation:
We can't tell the order of angles here, so we'll assume that ...
m∠TUV = m∠TUW +m∠WUV
(9x+1) = (7x-9) +(5x-11)
9x +1 = 12x -20
21 = 3x
7 = x
3/4 of a cup of pasta sauce for every 12 ounces whats the unit rate
Answer:
the unit rate is 1/4 every 4 ounces
Step-by-step explanation:
12/3=4 3/3=1 so 1/4 of a cup every 4 ounces.
On Gabriela's first birthday, her parents gave her a $50 savings account on every birthday after that her parents added to the account,
increasing the amount they deposited by $25 each year. Complete the recursive definition for the sequence that represents this situation by
finding the values for a, and d.
Initial amount , a = $50 .
Increase in price , d = $25 .
We need to find the recursive relation of the sequence .
If we notice it is an arithmetic progression with common difference $25 .
Which means that difference between any two consecutive term is 25 .
So , T(n) - T(n-1) = 25
T(n) = T(n-1) + 25 .
Hence , this is the required solution .
Can you answer this question please
Use the functions f(x)=2x and g(x)= x^2+1 to find the value of each expression.
7. f(3)+g(4) 8. g(3)+f(4)
Answer:
First, you learned (back in grammar school) that you can add, subtract, multiply, and divide numbers. Then you learned that you can add, subtract, multiply, and divide polynomials. Now you will learn that you can also add, subtract, multiply, and divide functions. Performing these operations on functions is no more complicated than the notation itself. For instance, when they give you the formulas for two functions and tell you to find the sum, all they're telling you to do is add the two formulas. There's nothing more to this topic than that, other than perhaps some simplification of the expressions involved.
Step-by-step explanation:
To find the answers, all I have to do is apply the operations (plus, minus, times, and divide) that they tell me to, in the order that they tell me to.
(f + g)(x) = f (x) + g(x)
= [3x + 2] + [4 – 5x]
= 3x + 2 + 4 – 5x
= 3x – 5x + 2 + 4
= –2x + 6
(f – g)(x) = f (x) – g(x)
= [3x + 2] – [4 – 5x]
= 3x + 2 – 4 + 5x
= 3x + 5x + 2 – 4
= 8x – 2
(f × g)(x) = [f (x)][g(x)]
= (3x + 2)(4 – 5x)
= 12x + 8 – 15x2 – 10x
= –15x2 + 2x + 8
\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(
g
f
)(x)=
g(x)
f(x)
= \small{\dfrac{3x+2}{4-5x}}=
4−5x
3x+2
My answer is the neat listing of each of my results, clearly labelled as to which is which.
( f + g ) (x) = –2x + 6
( f – g ) (x) = 8x – 2
( f × g ) (x) = –15x2 + 2x + 8
\mathbf{\color{purple}{ \left(\small{\dfrac{\mathit{f}}{\mathit{g}}}\right)(\mathit{x}) = \small{\dfrac{3\mathit{x} + 2}{4 - 5\mathit{x}}} }}(
g
f
)(x)=
4−5x
3x+2
what is the answer to -9 x (-9) x (-9)
[tex]\text {Hey! Let's Solve this Problem!}[/tex]
[tex]\text {We Know That: Multiply a Negative to a Negative will Equal a Positive.}[/tex]
[tex]\text {We Also Know: Multiply a Positive to a Negative will Equal a Negative.}[/tex]
[tex]\text {Multiply:}[/tex]
[tex]\text {-9*-9=81}[/tex]
[tex]\text {Multiply:}[/tex]
[tex]\text {81*-9=}[/tex]
[tex]\text {Your Answer would be:}[/tex]
[tex]\fbox {-729}[/tex]
[tex]\text {Best of Luck!}[/tex]
Rewrite in simplest radical form! Show your work.
[tex]x^{\frac{1}{\frac{-3}{6} }}[/tex]
First, let's deal with the fraction in the denominator of the exponent. Multiply the top and bottom of the exponent by 6.
[tex]x^{\frac{6}{-3} }[/tex]
Now that the fraction in the denominator is taken care of, we can reduce the denominator.
[tex]x^{-2}[/tex]. Some professors might accept this as simplest form, but others might ask you to get rid of the negative.
[tex]x^{-2} = \frac{1}{x^{2} }[/tex]
Answer:
*i forgot what a radical is but* your answer is -2
Step-by-step explanation:
there is something called
REDUCE COMPOUND FRACTIONS
basically it's
[tex]m/f/t[/tex]
so
[tex]1/-3/6\\[/tex]
is gonna be
[tex]1*6/-3[/tex]
which is -2
An expression is given: 2 open parentheses square root of k minus 1 close parenthesis plus square root of 8. If on adding negative 6 square root of 2to the expression results in a rational number, what is the value of k?
Answer:
Possible value of k is √2
Step-by-step explanation:
The information given are;
The expression, 2·(√k - 1) + √8 to which may be added -6·√2 to obtain a rational number, we therefore have;
2·(√k - 1) + √8 - 6·√2 = R
Therefore, simplifying gives;
2·√k - 2 + 2·√2 - 6·√2 = 2·√k - 2 - 4·√2 = R
2·√k - 2 - 4·√2 + 2= R + 2 = R
2·√k - 2+ 2 - 4·√2 = R
2·√k - 2+ 2 - 4·√2 = R
2·√k + 0 - 4·√2 = 2·√k - 4·√2 = 2·(√k - 2·√2) = R
(√k - 2·√2) = R/2 = R
Therefore, √2 is a factor of √k such that √k - 2·√2 = R
Which gives k = x·√2, where x = a rational number
When x = 1, k = √2.
Therefore, a possible value of k is √2
what is the area of a circle. Using 3.14 for. A circle with diameter of 8.4 ft.
Round to the nearest tenth if necessary
[tex]\pi[/tex]
Hey there! I'm happy to help!
First, let's find the radius. The radius is half of the diameter.
8.4/2=4.2
Here's how to find the area of a circle.
Square the radius.
4.2²=17.64
And multiply by pi (3.14 in our case)
17.64(3.14)=55.3896
We round to the nearest tenth, giving us an area of 55.4 ft²
Have a wonderful day! :D
PLEASE HELP THIS IS THE LAST QUESTION AND I WANT TO GO TO BED. PLEASE EXPLAIN SO I CAN DO IT FOR NEXT TIME AS WELL
Which property will help solve One-ninth + t = 7 for t?
addition property of equality
transitive property of equality
symmetric property of equality
multiplication property of equality
Answer:
addition property of equalityStep-by-step explanation:
Adding the same number to both sides of equation doesn't change the equality.
¹/₉ + t = 7
+(-¹/₉) +(-¹/₉)
t = 7 + (-¹/₉) = 7 - ¹/₉ = 6⁸/₉
addition property of equality
y−5=3(y−3) [tex]y−5=3(y−3)[/tex]
Steps to solve:
y - 5 = 3(y - 3)
~Distribute right side
y - 5 = 3y - 9
~Add 5 to both sides
y = 3y - 4
~Subtract 3y to both sides
-2y = -4
~Divide -2 to both sides
y = 2
Best of Luck!
If a = 2 b=-3 then find the value of 2a - 4b?
Given:
a=2b=-3Question:
2a - 4b
Step by step explanation:
Step 1:
2×2-4×(-3)
Step 2:
4-4(-3)
Step 3:
4+12
Step 4:
16
So 16 is correct answer
hope it helped you :)
Answer
16
Step-by-step explanation:
2×2-4×-3=
4+12=
16
How do you solve this math problem?
5 = 12 + 4
You want to leave a nice tip on a $36 meal. So you decide to add 20% to the bill. How much is the total bill?
Answer:
43.20
Step-by-step explanation:
First find the tip
36 * 20 %
36 * .2
7.20
Then add the tip to the amount of the meal
36+7.20
43.20
You went to have a meal which costs $36, and maybe becoming very delighted with the taste and service of the food centre, you decided to add a tip.
[tex]20\%[/tex] of the total meal.So, First we need to find the tip by multiplying the percentage with the cost of meal
Tip:
[tex]20\% \: of \: 36[/tex]
[tex] \frac{20}{100} \times 36[/tex]
[tex] \frac{1}{5} \times 36[/tex]
[tex]7.2[/tex]
Now, we have got the amount of money we decided to give as a tip. And, we are already having the cost of meal. So, total money paid:
[tex]36 + 7.2[/tex]
[tex] \boxed{ 43.2}[/tex]
This is our required answer.
#CarryOnLearning
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Find the difference
16-(-4)
i need help ASAP
Choose all the number sentences that have a sum less than 345,195: A) 189,753 + 155,655 B) 324,675 + 19,285 C) 185,476 + 155,923 D) 97,560 + 246,894 E) 313,489 + 32,450
Answer:
C, D
Step-by-step explanation:
Calculate the sum of all.
C and D have less then 345,195.
That is the answer.
The expression that has a sum of less than 345,195 are B, C, and D.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
To calculate the number of sentences that have a sum of less than 345,195. The expression is needed to be simplified as shown below.
A) 189,753 + 155,655 = 345,408
B) 324,675 + 19,285 = 343,960
C) 185,476 + 155,923 = 341,399
D) 97,560 + 246,894 = 344,454
E) 313,489 + 32,450 = 345,939
Learn more about Expression:
https://brainly.com/question/13947055
#SPJ2
A community is planning to build a rectangular garden. The width of the garden is 17 /4 feet (ft), and the perimeter of the garden is 24.5 ft. The community planners want to spread mulch on the entire garden. How many square feet of mulch will be needed?
Answer:
34 square feet
Step-by-step explanation:
First, you need to find the other side of the garden in order to find the area a=l*w
The formula to find the length is, p-w*2=x x÷2=l
because, perimeter is l+l+w+w and area is just l*w
4.25*2=8.50
24.50-8.50=16
16÷2=8
l=8
So now we need to multiply the length and width to get the area.
8*4.25=34 sq. ft.
I hope that helps!
Simplify 7x^2 + 3 - 5(x^2-4)
Answer:
2x^2 + 23
Step-by-step explanation:
For this problem, we will simply combine like terms after using the distributive property:
7x^2 + 3 - 5(x^2 - 4)
= 7x^2 + 3 - 5x^2 + 20
= 7x^2 - 5x^2 + 3 + 20
= 2x^2 + 23
Cheers.
Answer:
2x^2 + 23
Step-by-step explanation:
The third option
Indentify the segment bisector of RS
Answer: line k is the segment bisector and the distance between RS is 34
pls help me i dont understand.
Answer:
- 2.2× (-2) ÷ (-1/4)×5
- 2.2× (-2) × (-4) ×5
4.4 × (-20)
-88
Step-by-step explanation:
Answer:
Step-by-step explanation:
For fraction division, multiply with the reciprocal of the fraction.
Reciprocal of (-1/4) = -4/1
-22 * (=2) ÷ (-1/4) * 5 = [tex]-22 * (-2) * \frac{-4}{1}*5\\[/tex]
[tex]= -22 * (-2) * (-4) * 5\\\\= - 880[/tex]
Give the absolute value of expression |-12.1|
Answer:
12.1
Step-by-step explanation:
its just how many spaces away from 0 it will never be a negetive #
Calculating overtime pay
Answer:
Hourly pay rate x 1.5 x hours worked overtime.
Step-by-step explanation:
For example, if you had an hourly wage of $10, you would first:
Start with the $10 owed. Then:
Multiply your hourly pay by 1.5 to get $15.
Lastly, multiply this number by how many hours you worked overtime. Let's say you work 5 hours overtime. Multiply the $15 by the 5 hours worked overtime, and you should get $75.
An equation to help you solve this could look something like this:
Y*1.5*O=T, where the variable "Y" is hours works, the variable "O" is the hours worked overtime, and the variable "T" is the total amount of money earned for working overtime.
Need some help on this
Henry purchased compact dkks for $112. The compact discs cost $16 each.
Which of the following equations could you use to find how many compact dises, Henry pureme
412 -
2012 - 316
$16 = $112*
$112x316
Answer: B. $112 = $16 x
Hope this helps!
What is the slope for this?
Answer:
1/2
Step-by-step explanation:
(-4--2)/(3-7)=-2/-4=1/2
Answer:
b. 1/2
Step-by-step explanation:
Points: (7, -2), (3, -4)
slope = (y2 - y1)/(x2 - x1)
slope = (-4 - (-2))/(3 - 7) = (-4 + 2)/(-4) = -2/(-4) = 1/2