Answer:
-6√3 - 9√2
Step-by-step explanation:
So you distribute like normal:
-3√3 times 2 is -6√3
-3√3 times √6 is -3√18
You can simplify -3√18 into -9√2
(because 9 can be squared into 3 and you can multiply the 3 with the current 3 into 9)
(Also you have to divide 9 out of 18 since you are simplifying)
So the answer will be -6√3-9√2
Hope this helps!
A student has a savings account with $475 in it. She deposits $125 of her paycheck into the account every week. Her goal is to save $7,000 for college.
a.How much will be in the account after 3 weeks?
b.How long will it take before she has $1,350?
c.Write an equation that represents the relationship between the dollar amount in her account and the number of weeks since she started depositing $125 each week.
d.Graph your equation using graphing technology. Mark the points on the graph that represent the amount after 3 weeks, and also the week she has $1,350. Write down the coordinates.
e. How long will it take her to reach her goal?
9514 1404 393
Answer:
a. $850
b. 7 weeks
c. f(x) = 125x +475
d. see attached (3, 850), (7, 1350)
e. 53 weeks
Step-by-step explanation:
a.After 3 weeks, $125×3 = $375 will have been added to the $475 already in the account. The balance will be ...
$375 +475 = $850
__
b.The student will have to add $1350 -475 = $875 to her account to reach $1350. At a rate of $125 per week, that will take ...
$875/($125/week) = 7 weeks
__
c.The initial value is $475, and the rate of change is $125 per week, so the equation can be written ...
f(x) = 475 +125x . . . . . . . balance after x weeks
__
d.See the attached graph with the required points marked. (3, 850), (7, 1350)
__
e.It will take more than 53 weeks for the student to reach her goal. (After 52 weeks, the account will have $6975, so will be $25 short of the goal.)
1) There are 44 dogwood trees currently in the park. Park workers will plant more
dogwood trees today. When the workers are finished there will bę 70
dogwood trees in the park. How many dogwood trees did the workers plant today?
Answer:
26
Step-by-step explanation:
there are already 44 dogwood trees
there will be 70 dogwood trees by the end of the day
we take how many dogwood trees there already are and subtract them from what there will be
70-44=26
PLEASE HELP!!
Identify the type of transformation to triangle ABC.
Glide
reflection
Reflection
Rotation
Translation
Answer:
Step-by-step explanation:
A-Reflection
B-Translation
C-Rotation
D- Glide Reflection
jacket is on sale at 15% off the original price of $68. based on this sale how much money will he save
Answer: He will save $57.80
Step-by-step explanation: Sale Price = $57.8. This means the cost of the item to you is $57.8. You will pay $57.8 for an item with original price of $68 when discounted 15%. In this example, if you buy an item at $68 with 15% discount, you will pay 68 - 10.2 = 57.8 dollars.
3/4 x 28= 1/3 of y state y? Please im in a hurry
Is 12 × –1 positive or negative? positive negative Submit
Answer:
it's a negative number. the answer would be
Step-by-step explanation:
-12
(a) A color printer prints 21 pages in 10 minutes. How many minutes does it take per page? U minutes per page
Answer:
10/21
Step-by-step explanation:
Number of minutes required for printing 21 pages: 10
So, number of minutes required for printing 1 page
= 10/21
(= 0.47 = 0.5 [approximately])
please help me its due in 3 mins
Answer:
s = 19°Step-by-step explanation:
The angles that are directly opposite to each other are known as opposite angles. They are also termed as vertical angles or vertically opposite angles and are equal to each other.
so
106 = 6s - 8
106 + 8 = 6s
114 = 6s
s = 114 : 6
s = 19°
-----------
check
6 * 19 - 8 =
106°
the answer is good
The base of a 50 ftladder is placee 30ft away from a burnong building how many feet above the geound is the top of the ladder from the ground
Answer:
i dont know the answer but ask someone smarter
Step-by-step explanation:
Lesson. Derative of trigonometric functions
Answer:
Step-by-step explanation:
What are the Derivatives of the 6 Trig Functions?
Derivation of sin x: (sin x)' = cos x.
Derivative of cos x: (cos x)' = -sin x.
Derivative of tan x: (tan x)' = sec2 x.
Derivative of cot x: (cot x)' = -cosec2 x.
Derivative of sec x: (sec x)' = sec x. tan x.
Derivative of cosec x: (cosec x)' = -cosec x. cot x.
What is -1/2(-4/5) multiplied then in simplest form?
What is the distance between 3 and 1?
Answer:
2
Step-by-step explanation:
Answer: 2
Step-by-step explanation:
what is 4 8/17 as an improper fraction
Answer:
76/17
Step-by-step explanation:
Multiply the whole number by the denominator
4 × 17 = 68
Add the product from Step 1 to the numerator
68 + 8 = 76
Write answer from Step 2 over the denominator
76/17
His new employer has offered Malcom Davis a choice of profit-sharing plans. For Plan A, he can receive 1/90 of the company’s gross income. For Plan B, he can receive 1/60 of the company’s profit. Gross income is the total amount the company takes in. Profit is the difference of the gross income and expenses. The company’s expenses for one month are $100,000.
A) Write an equation for finding the gross income that would give Malcom Davis the same amount of money with either plan.
B) Solve the equation from Exercise A and interpret the solution.
C) How much would Malcom Davis receive when the two plans are the same?
D) If the gross income of the company is less than the amount from Part B, which plan would be better for Malcom Davis? Show work to support your answer.
Malcom Davis earnings is an illustration of equations and proportions.
The equation is: [tex]\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}[/tex]The gross income must be $300000, for Dave to earn the same amount with either plan.His earning is $3333.33 when the plans are the same.Let the profit be P, and the gross income be G.
So, we have:
[tex]\mathbf{P= G - 100000}[/tex]
(a) The equations
For plan A, we have:
[tex]\mathbf{A = \frac{1}{90}G}[/tex] ----1/90 of the company's gross income
For plan B, we have:
[tex]\mathbf{B = \frac{1}{60}P}[/tex] ----1/90 of the company's profit
When both are the same, we have:
[tex]\mathbf{A= B}[/tex]
This gives
[tex]\mathbf{\frac{1}{90}G= \frac{1}{60}P}[/tex]
Substitute [tex]\mathbf{P= G - 100000}[/tex]
[tex]\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}[/tex]
Hence, the equation is: [tex]\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}[/tex]
(b) Solve the equation in (a), and intepret
[tex]\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}[/tex]
Cross multiply
[tex]\mathbf{60G = 90G - 9000 000}[/tex]
Collect like terms
[tex]\mathbf{90G - 60G = 9000 000}[/tex]
[tex]\mathbf{30G = 9000 000}[/tex]
Divide both sides by 30
[tex]\mathbf{G = 3000 00}[/tex]
The gross income must be $300000, for Dave to earn the same amount with either plan.
(c) His earnings based on (c)
We have:
[tex]\mathbf{A = \frac{1}{90}G}[/tex]
Substitute [tex]\mathbf{G = 3000 00}[/tex]
[tex]\mathbf{A = \frac{1}{90} \times 300000}[/tex]
[tex]\mathbf{A = 3333.33}[/tex]
His earning is $3333.33 when the plans are the same
(d) If the gross income in less than (b)
If the gross income is less than $300,000, then plan A would better for Malcom Davis, because his earnings in plan A would be greater than plan B
Read more about equations at:
https://brainly.com/question/20893366
Anybody know the answer to number 2 !!!
Answer:
Well I can't put it on a number line but the order they should go in is: 2 [tex]\frac{1}{4}[/tex], 2.3 (repeating), 2.5,[tex]\sqrt{8}[/tex]
Step-by-step explanation:
Select all that apply. To create perpendicular lines, I can transform a line by:
1. Rotating the line 270° around any point.
2. Translating the line horizontally.
3. Rotating the line 45° around any point, then rotating it another 45° around any point.
4. Translating the line vertically.
5. Reflecting the line over itself.
6. Rotating the line 45° around any point.
7. Reflecting the line over any point on the line.
8. Rotating the line 90° around any point.
Answer:
8. Rotating the line 90° around any point.
Step-by-step explanation:
Perpendicular lines intersect each other at a right angle. Therefore, the transformation should create an image that intersects the preimage at an angle of 90∘. Since a rotation changes the angle between the preimage and the image, it can create perpendicular lines.
$300, 5%, 2 years
explain
300+5%+2YEARS=16,000
HOPE IT HELPS YOU
CAN YOU BRAINLEST ME
Answer:
16,000
Step-by-step explanation:
trust me it's right
What is the answer for x?
Answer:
x = -5/7
Step-by-step explanation:
Jeandre said |6| equals |−6|. Is Jeandre correct? Complete the explanation.
Maria was playing basket.she made 25 baskets.5 of the baskets were 3-pointers.The rest were 2-pointers.how many points did she score
PLEASEEE HELP ME WHAT IS THE ANSWER!!
Answer:
Number 3 is correct.
129.19m
Step-by-step explanation:
You might be wondering how did I got 32⁰, well, that's because they are alternate angles.
Now, we're trying to find the opposite side of the triangle.
Using the laws,
we got cos32⁰=x/243.8
243.8cos32⁰=x
129.19⁰
Mark me as Brian list?
Solve for x 3/8(2x+16)−2=13
The "/" is for a fraction btw
Jerry deposited 20,000 on an investment that will give 1,750 for every year that his money stays in the account. How much money will he have in his account by the end of the year 8? with solutions
Answer:
$34,000
Step-by-step explanation:
Jerry will get $1,750 for every year that his money stays in the account thus for 8 years he will get:
8*1,750 = $14,000
Together with the deposited money:
$20,000 + $14,000 = $34,000
By the end of year 8 there will be $34,000 of Jerry's account.
What is the value of x that makes this equation true?
(10 raised to the power of 4) = 10 raised to the power of x
Enter only a number as your answer.
Answer:
pot0tsafgxxgcgcycguchchcui
how many eighths are in 1/3?
Answer:
1/3 = 2 2/3 eighths.
Step-by-step explanation:
There are 2(2/3) eights in 1/3.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Eighths = 1/8
Now,
(1/8)x = 1/3
Solve for x.
x = 1/3 x 8/1
x = 8/3
x = 2(2/3)
Thus,
There are 2(2/3) eights in 1/3.
Learn more about expressions here:
https://brainly.com/question/3118662
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1. Solve
2 -(3 -1)=6(1- )
Answer:
2 (-3 - 1) = 6 (-1)?? If thats the equation you were trying to type then the answer is: -8 = -6
Step-by-step explanation:
PLS HELP WILL MARK BRAINLIEST!
More than means addition.
C is the correct option.
= (2x + 4) + 9 - 4y + 3x
= 2x + 4 + 9 - 4y + 3x
= 5x + 13 - 4y
= 5x - 4y + 13
Answer:
5x-4y+13 (c)
Step-by-step explanation:
9-(4y-3x)+(2x+4)
9-4y+3x+2x+4
3x+2x-4y+9+4
5x-4y+13
answer po plss plssplsss
Answer:
I'll answer 6 to 10 cuz that's only what I'm able to see
Step-by-step explanation:
6.
Y-Z
= {6,4,7,2,8,3} - {2,7,8,9,10}
= {6,4,3}
7.
( Y ∪ Z ) ∩ X
= ( {6,4,7,2,8,3} ∪ {2,7,8,9,10} ) ∩ {1, 2,3,5,8}
= { 2,3,4,6,7,8,9,10} ∩ {1, 2,3,5,8}
= {2,3,5,8}
8.
( X ∪ Y ) ∩ ( Y ∪ Z )
= ( {1, 2,3,5,8} ∪ {6,4,7,2,8,3} ) ∩ ( {6,4,7,2,8,3} ∪ {2,7,8,9,10} )
= {1,2,3,4,5,6,7,8} ∩ {2,3,4,6,7,8,9,10}
= {2,3,4,6,7,8}
9.
( X ∩ Z ) ∪ ( X ∩ Y )
= ( {1,2,3,5,8} ∩ {2,7,8,9,10} ) ∪ ( {1,2,3,5,8} ∩ {6,4,7,2,8,3} )
= {2,8} ∪ {3,8}
= {2,3,8}
10.
( X ∪ Y ) ∩ Z
= ( {1,2,3,5,8} ∪ {6,4,7,2,8,3} ) ∩ {2,7,8,9,10}
= {1,2,3,4,5,6,7,8} ∩ {2,7,8,9,10}
= {2,7,8}
Which equation represents the
sentence, "one minus p to the
fourth power equals zero"?
OA) 1-4p=0)
OB) 4p-1=0
OC) 1-p4=0)
OD p4-1=0
Answer:
to make button connected. I am
Answer:
C
Step-by-step explanation:
This equation exactly represents the question. It has the 1- p to the 4th which will =0.
Which of the following numbers are rational, but NOT integers?
Select one or more:
a.√33
b.8.4
c.3/4
d.0
Answer:
0
Step-by-step explanation:
Zero is a rational number, and we know that the integer 0 can be written in any one of the following forms. ... Thus, 0 can be written as, where a/b = 0, where a = 0 and b is any non-zero integer. Hence, 0 is a rational number and not an integer.
