Answer:
[tex]120x^4\sqrt{2}[/tex]
Step-by-step explanation:
First we need to break down the numbers in the radicals into its factors
so
12= 3*2*2
x³=x*x*x
Which means we have
[tex]10\sqrt{3*2*2*x*x*x}=20x\sqrt{3x}[/tex]
and
[tex]2\sqrt{2*3*x*x*x*x*x} =2x^{2} \sqrt{6x}[/tex]
Because the radicand (the small number that goes up top) are the same we can just mulitply the two from here
which means we have
[tex](20x*2x^2)\sqrt{3x*6x}=40x^3\sqrt{18x^2} \\\sqrt{18x^2}=\sqrt{2*3*3*x*x} =3x\sqrt{2} \\=120x^4\sqrt{2}[/tex]
At a restaurant, customers can order a hamburger, a cheeseburger, or a chicken sandwich as their main dish. With any of these main dishes they can order a side of french fries, onion rings or a salad . What is the total possible outcomes
Ty decided to invest $600 in an account and was able to take out $670 from the account
after 8 years. The interest in the account was compounded continuously. What was the
interest rate for his account?
The interest rate for his account was r ≈ 1.375% .
SIBLE POINTS
The perimeter of the larger rectangle is 2 meters greater than twice the perimeter of the smaller rectangle. What is the perimeter of the larger
rectangle?
3x - 1
x + 1
4x - 5
Х
Answer:
U equal them
Step-by-step explanation:
An divide
3. Fill the blanks to make the equivalent ratios. :9 = 10: 45 a. b. : 3 = 3:9
Answer:
:/
Step-by-step explanation:
Simplify the expression.
-5(-7d + 2)
Answer:
35d-10
Step-by-step explanation:
distribute the -5
Answer:
-7d+2B4
Step-by-step explanation:
If its wrong im sorry I tried.
Arthur has a balance of $2330 on his credit card, which he plans to pay off by
making a payment of the same amount each month. Which of these monthly
amounts will allow Arthur to pay off his balance the fastest?
A. $70
B. $65
C. $80
D. $75
SUBMIT
Answer: B. $80
Step-by-step explanation:
helppp i need help on question 1) b and d
2) d and e
1. b) Factorise ➾ y² - 20y + 100
1. d) Factorise ➾ 48 - 13p - p²
2. d) Factorise ➾ 18y² - y - 4
2. e) Factorise ➾ 4m² - 27m + 18
Solutions:-1. b) y² - 20y + 100
⇝ y² - 10y - 10y + 100 ( Splitting middle term )
⇝ y ( y - 10 ) - 10 ( y - 10 )
⇝ ( y - 10 )(y - 10 ) Ans.
1. d) -p² - 13p + 48
⇝ -p² - 16p + 3p + 48 ( Splitting middle term )
⇝ -p ( p + 16 ) + 3 ( p + 16 )
⇝ ( p + 16 )(3 - p ) Ans.
2.d) 18y² - y - 4
⇝ 18y² - 9y + 8y - 4 ( Splitting middle term )
⇝ 9y ( 2y - 1 ) + 4 ( 2y - 1 )
⇝ ( 2y - 1 )( 9y + 4 ) Ans.
2.e) 4m² - 27m + 18
⇝ 4m² - 24m - 3m + 18 ( Splitting middle term)
⇝ 4m ( m - 6 ) - 3 ( m - 6 )
⇝ ( m - 6 )( 4m - 3 ) Ans.
HOPE IT CAN HELP U : )A factory employs 98 workers. Of these, 10 receive a wage of $150
per day and the rest receive $85.50 per day. To the management,
a week is equal to 6 working days. How much does the factory
pay out each week?
Please help!!
Answer:
$54,144
Step-by-step explanation:
To answer this question, we must break up the problem into separate parts. First, we know 10 out of 98 empolyees earn $150 per day, and they work 6 days a week. Therefore, we can multiply 150 by the amount they work each week, which is 6:
150 * 6 = 900
Now, we multiply that number by the amount of workers earning this money, which is 10:
900 * 10 = 9,000
Now, we know that 10 employees out of the 98 total earn $9,000 altogether, but we aren't finished.
Next, we look at the remaining 88 workers. They earn $85.50 per day, working 6 days a week as well. We must multiply these numbers:
85.50 * 6 = 513
Now, we multiply that number by the amount of workers earning this money, which is 88:
513 * 88 = 45,144
So, we know that the 88 employees earn $45,144 total during a work week, and the other 10 earn $9,000 total. We must now combine these numbers to get our final answer:
45,144 + 9,000 = 54,144
So, the factory pays out $54,144 each week
Hope this helps :)
Find the area of the circle. Round to the nearest tenth. Use 3.14 or 22/7 for pie.
5.6 cm
a. 98.5 cm2
b. 8.8 cm2
c. 24.6 cm2
d. 17.6 cm2
Answer:
98.5 cm2
Step-by-step explanation:
5 g of margarine contains 3.6 g
of fat.
How many grams of fat are
there in 82 g of margarine?
Answer:
59.04g of fat
Step-by-step explanation:
I) Figure out how much grams of fat is in 1g of margarine:
3.6 ÷ 5 = 0.72
II) Next, we can figure out how much fat is in 82 g of margarine:
0.72 × 82 = 59.04
One shot formula:
(3.6g ÷ 5g) × 82g = 59.04g
For what values of x is the expression below defined?
2x2 + 5x
Answer:
9
Step-by-step explanation:
solve by factorizing x² + 8x + 15 + 0
Download
GET
Algebra
Factor
Factor the polynomial.
(
x
+
3
)
(
x
+
5
)
Tap to view FREE steps...
()|[]ó
789≤
456/^×>∩∪
123-+÷<π∞
,0.%=
Factor
x
2
+
8
x
+
15
+
0
Regroup terms.
x
2
+
0
+
8
x
+
15
Add
x
2
and
0
.
x
2
+
8
x
+
15
Factor
x
2
+
8
x
+
15
using the AC method.
Tap for fewer steps...
Consider the form
x
2
+
b
x
+
c
. Find a pair of integers whose product is
c
and whose sum is
b
. In this case, whose product is
15
and whose sum is
8
.
3
,
5
Write the factored form using these integers.
(
x
+
3
)
(
x
+
5
)
Answer:
(x+3)(x+5)
Step-by-step explanation:
The volume of gas a balloon can hold varies directly as the cube of its radius. Imagine a balloon with a radius of 3 inches can hold 108 cubic inches of gas. How many cubic inches of gas must be released to reduce the radius down to 2 inches?
Answer:76
Step-by-step explanation:
Answer:
76 in³Step-by-step explanation:
Volume of gas varies directly as the cube of its radius.
V = kr³Find k:
108 = k(3³)k = 108/27k = 4Volume of the smaller balloon:
V = 4r³V = 4(2³) = 32 in³The difference in volumes is the volume of released gas:
108 - 32 = 76 in³Evaluate the expression 4x for x=5.
4x=
= when x = 5.
(Simplify your answer.)
PLEASE HELP I DONT KNOW THIS
Answer:
Exponential Growth
Step-by-step explanation:
The function is increasing and not decreasing. Because the base is greater than 1, the equation represents exponential growth. If the base were to be less than 1, then it would represent exponential decay.
(sat prep) find the value of x
Answer:
140 degrees
Step-by-step explanation:
Im only a freshman, but i think i got it, i just assumed that the other small part at the bottom was also 20 degrees, which would mean that you are missing the 140 degrees from the 180 degree line
Answer:
120 degrees
Step-by-step explanation:
The bottom part is 40 degrees,
the two lines are parallel, so theoretically, you can just put them together. Then using vertical angles, you can tell it's 40 degrees.
40 + 20 = 60
180-60 degrees is 120 degrees.
A ball is thrown into the air from a height of 4 feet at time t=0. The function that models this situation is h(t)=-16t^2+63t+4. What will be the height of the ball after 2 seconds?
Answer:
66 feet
Step-by-step explanation:
We know that the t in the equation represents the time. So, substitute 2 for the t in the function and simplify to find the height after 2 seconds:
[tex]h(t) = -16t^2+63t+4\\h(2) = -16(2)^2+63(2)+4\\h(2) = -16(4)+126+4\\h(2) = -64 + 126+4\\h(2) = 66[/tex]
Thus, the height would be 66 feet.
find the zero of the following function: f(x)=2/3(x)+6
Use addition to solve the system of linear equations. Include all of your work in your final answer.
Answer: No solutions
Step-by-step explanation:
You can either use substitution or elimination
You can plug in y to the first equation to get x-(x-4)=6 to get 4=6 which is not possible so no solutions
Richmond High School has 1900 students and is shrinking by 15 students per year. Write a rule that represents the population at Richmond High School. Let x represent years and y represent population.
Answer:
y = -15x + 1900
Step-by-step explanation:
This is correct because, your base number is 1500, so that is your y-intercept. The school's population is shrinking by 15 students per year so, that becomes your slope. Hope I helped. ;)
Find the measure of FG.
Can someone help??
Answer:
28
Step-by-step explanation:
Side FG = Side DG. Therefore, 5x - 17 = 3x + 1, or 2x = 18, or x = 9.
If x = 0 then the length of side FG is 5(9) = 17, or 28.
Write as a decimal. 7/18 If necessary, use a bar to indicate which digit or group of digits repeats.
Answer:
0.38888888888889
7 divided by 18
Step-by-step explanation:
Зm — 5n = 11
what is this answer?
Step-by-step explanation:
mn=1/-2
i hope it helps you
please helppppppppppppppppppppppppppppp
Answer:
It is exponential
What is the equation, in point-slope form, of the line passing through the point (8, -3) with a slope of 5?
Splitting investments. Joan had $3,000 to invest. She invested part of it in an investment paying 8% and the remainder in an investment paying 10%. If the total income on three investments was $290, than how much did she invest at each rate?
Answer:
Step-by-step explanation:
From the given information:
Let assume that the invested amount in the investment paying 8% interest is a
Now, since the total amount invested = $3000.
Then, the amount invested in the investment that will be paying 10% interest can be represented as:
= $(3000-a)
Income earned on $a that is being invested in 8% interest = $a × 8/100 = $0.08a
Income earned from $(3000-a) in the 10% investment is:
= $(3000-a)× 10/100
= $(300 - 0.1a)
Since total income of the two investment = $290;
Then;
0.08a + (300 - 0.1a) = 290
0.08a + 300 - 0.1a = 20-
300 - 0.02a = 290
-0.02a = -10
a = -10/-0.02
x = 500
Thus;
the amount invested in an investment paying 8% interest = $500
the amount invested in an investment paying 10% interest = $(3000 - 500) = $2500
Please help and make it right..
Answer:1/48
Step-by-step explanation: multiply the fraction by 1/2
PLSSS HELP ME PLS THIS IS DUE TOMORROWW!!! will mark
A water tank contains 320 litres of water, correct to the nearest 10 litres. 50 litres of water, correct to the nearest litre, are removed from the tank. Calculate the upper bound of the amount of water left in the tank.
Answer:
[tex]N_l=270 litres[/tex]
Step-by-step explanation:
From the question we are told
Total litres of water [tex]N_t=320[/tex]
Total litres removed [tex]N_r=50[/tex]
Generally the Total litres left in the tank N_l is mathematically given as
[tex]N_l=N_t-N_r[/tex]
[tex]N_l=320-50[/tex]
[tex]N_l=270 litres[/tex]
Therefore the total water left in the tank is
[tex]N_l=270 litres[/tex]
Find x so that QS||PT. PQ=8,QR=5,RS=15,ST=x+3
Answer:
15/8= 3+15/8+(x-3)
Step-by-step explanation: