Answer:
a = 7
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Given
[tex]\sqrt{2}[/tex] ([tex]\sqrt{45}[/tex] + [tex]\sqrt{80}[/tex] ) ← distribute parenthesis by [tex]\sqrt{2}[/tex]
= [tex]\sqrt{90}[/tex] + [tex]\sqrt{160}[/tex]
= [tex]\sqrt{9(10)}[/tex] + [tex]\sqrt{16(10)}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{10}[/tex] + ([tex]\sqrt{16}[/tex] × [tex]\sqrt{10}[/tex] )
= 3[tex]\sqrt{10}[/tex] + 4[tex]\sqrt{10}[/tex]
= 7[tex]\sqrt{10}[/tex] → in the form a[tex]\sqrt{10}[/tex]
with a = 7
Answer:
7
Step-by-step explanation:
√2 (√45 + √80) = √90+√160= 3√10+4√10= 7√10
7√10= a√10
a=7
Christopher scored 7 more than two times the questions Mathew scored on the math test. If Christopher scored 87 on the math test, what was Mathew's score?
Answer:
40
Step-by-step explanation:
To solve this, we can create an equation that represents this situation. Since Christopher score 7 more than twice what Mathew scored, the equation will be:
C = 2M + 7
(Variables are representative of the first letter of each name)
Seeing as Christopher scored 87, we can put that into the equation and solve for M.
So, the equation will be:
87 = 2M + 7
Subtract 7 from both sides in order to isolate variable M on the right side.
80 = 2M
Now solve for M, which is 40 (divide both sides by 2).
what is the remainder of 14952 divided by 41 plzzzzz help ASAP will give brainiest answer
Answer: 364 with a remainder of 28
Step-by-step explanation:
14952/41
41 goes into 149 3 times
149 - (41 *3)
149 - 123 = 26
41 goes into 265 6 times
265 - (41*6)
265 - 246 = 19
41 goes into 192 4 times
192 - (41*4)
192 - 164 = 28
So 14952/41 = 364 with a remainder of 28
please help with this question fast
Answer:
A. (-1, 3)
Step-by-step explanation:
→A solution is when the two lines on the graph intersect at a certain point. Looking at this graph, you can clearly see that the lines intersect at the point of (-1, 3).
This means the correct answer is "A."
w(x) = 2x^3+ 3x; Find w(3)
Answer:
63
Step-by-step explanation:
w(x) = 2x³ + 3x
Put x as 3.
w(3) = 2(3)³ + 3(3)
Solve for the power.
w(3) = 2(27) + 3(3)
Multiply the terms.
w(3) = 54 + 9
Add both the terms.
w(3) = 63
Answer:
63I hope it helps :)
Step-by-step explanation:
[tex]w(x) = 2x^3+ 3x\\w(3)\\w(3) = 2(3)^3 +3(3)\\w(3) = 2(27) +9\\w(3) = 54+9\\w(3) =63[/tex]
Plot a point on the coordinate plane to represent each of the ratio values
Answer:
Is the time in the graph drawn?
Step-by-step explanation:
A population of 350 animals has a growth rate of 5% each year. Write a exponential function to model the situation.
Answer: A =350 (1.05)^t
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential growth function:
A = P (1 + r) t
Where:
p = original population
r = growing rate (decimal form; 5/100=0.05)
t= years
A = population after t years
Replacing with the values given:
A = 350 (1+0.05)^t
A =350 (1.05)^t
Feel free to ask for more if needed or if you did not understand something.
find a six rational numbers between 9 and 10
Answer:
9 = (9 x 8)/8 = 72/8
10 =(10 x 8)/8 = 80/8
=> Six rational numbers between 9 and 10 could be selected as:
73/8, 74/8, 75/8, 76/8, 77/8, 78/8
Hope this helps!
:)
56 has how many 2\3's in it
Answer:
Two thirds of 56 is simply two thirds times 56, which can be written as follows:
Two/thirds x 56
Furthermore, you can convert "two" to "2" and "thirds" to "3" and then the equation and answer is:
2/3 x 56 = 37.33
Step-by-step explanation:
The multiplication of the numbers 56 and 2/3 will be 37.33.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
It is also known as the product. If the object n is given to m times then we just simply multiply them.
The numbers are given below.
56 and 2/3
Then the multiplication of the numbers 56 and 2/3 will be
⇒ 56 x (2/3)
⇒ 112/3
⇒ 37.33
Thus, the multiplication of the numbers 56 and 2/3 will be 37.33.
More about the Algebra link is given below.
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Put these fraction in order of size smallest to largest : 7/10, 2/3, 4/5, 11/15
Answer:
2/3, 7/10, 11/15 and 4/5
Step-by-step explanation:
2/3=0.66
7/10=0.7
11/15=0.73
4/5=0.8
Olivia and Garrett each take out at $18,000 loan for a new car. Each how to repay the loan in 5 years. Olivia has interest rate 3.2% per year . Her monthly payment is $308 Because Garrett has a lower credit score he will pay an interest rate of 3.6% per year. His monthly payment will be $311. How much more will an $18,000 loan cost Garrett than Olivia.
Answer:
$180
Step-by-step explanation:
First, you have to calculate the amount that Olivia would have paid at the end of the loan which would be the result of multiplying her monthly payment for the number of payments:
Total payment= $308*(12*5)
Total payment= $308*60
Total payment= $18,480
Then, you have to calculate the amount that Garrett would have paid at the end of the loan:
Total payment= $311*(12*5)
Total payment= $311*60
Total payment= $18,660
Now, you have to calculate the difference in the amount Olivia and Garrett would have paid:
$18,660-$18,480= $180
According to this, an $18,000 loan will cost Garrett $180 more than Olivia.
Convert r=7/(9sinθ−cosθ) to rectangular form.
Enter your answer in slope-intercept form by filling in the boxes. Enter values so that fractions are simplified.
Answer:
r = 7/(9sinθ - cosθ)
to rectangular form is:
y = (1/9)x + 7/9
Step-by-step explanation:
Given that
r = 7/(9sinθ - cosθ)
Consider the following polar-to-rectangular equivalents.
x² + y² = r²
x/r = cosθ
y/r = sinθ
So
r = 7/(9sinθ - cosθ)
Can be written as
r = 7/(9y/r - x/r)
r = 7/(1/r)(9y - x)
Multiplying through by (1/r)
1 = 7/(9y - x)
Multiplying through by (9y - x)
9y - x = 7
9y = x + 7
Divide both sides by 9
y = x/9 + 7/9
y = (1/9)x + 7/9
And this is the answer
Answer:
y = (1/9)x + 7/9
Step-by-step explanation:
Divide both sides by 9
y = x/9 + 7/9
y = (1/9)x + 7/9
Divide both sides by 9
y = x/9 + 7/9
y = (1/9)x + 7/9
area of a semicircle with a radius of 3
Answer: 9π/2
Step-by-step explanation:
A semicircle is half of a circle. Therefore, you must divide the area by 2.
[tex]A=\frac{\pi r^2 }{2}[/tex]
Since we know the radius, we can directly plug it into the formula.
[tex]A=\frac{\pi (3)^2}{2} =\frac{9\pi }{2}[/tex]
Since the problem stated to give the answer in terms of π, 9π/2 is our answer.
Answer:
[tex]\frac{9\pi }{2}[/tex] cm²
Step-by-step explanation:
The area of a semicircle can be expressed by the formula [tex]\frac{\pi r^{2} }{2} = A[/tex].
When you plug in the radius, you get [tex]\frac{\pi 3^{2} }{2} = \frac{\pi 9}{2} = \frac{9\pi }{2}[/tex].
What is the value of x?
Answer:
50 = x
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
105 = 55+x
Subtract 55 from each side
105-55 = 55-55+x
50 = x
Answer:
A
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
105° is an exterior angle of the triangle , thus
x + 55 = 105° ( subtract 55 from both sides )
x = 50° → A
If one is subtracted from six times a certain number, the result is 47. Find the number.
Answer: The no. is 8
Step-by-step explanation:
Let the no. be x
6x - 1 = 47
6x = 48
x = 8
Answer:
let the certain number be x
6 × x - 1= 47
6x - 1 = 47
6x = 47 + 1
6x = 48
x = 48/6
x = 8
Based on the formula that you developed in question 3, what is the area of the circle? How do you know your answer is correct? Explain.
Answer:
Area is πr²
Step-by-step explanation:
The area of a circle is given as
A = πr²
Where r, which is half of the circumference of the circle, is the radius of the circle.
Where π = 3.14...
Answer:
πr2.
Step-by-step explanation:
The shape changed, but the amount of space inside the shape remained the same. The space inside the parallelogram is the same as the space, or area, inside the circle. The area of the circle is 0.5 × circumference × radius = πr2.
3x+15=35
best answer plez
Answer: x= 6.6667
Step-by-step explanation:
subtract 15 on both sides=20
divide 3 on both sides
Answer:
6.666
Step-by-step explanation:
Please someone solve this, this is my third time reposting this question so yea please be quick
Answer:
Step-by-step explanation:
to calculate mean add all the entries in a week ,then divide by 7(the number of days)
i give you hint
mean for week 1=(52+65+... +60)/7
Which could be the first step in simplifying this expression? Check all that apply. (x cubed x Superscript negative 6 Baseline) squared (x Superscript negative 18 Baseline) squared (x Superscript negative 3 Baseline) squared (x Superscript negative 2 Baseline) squared x Superscript 6 Baseline x Superscript negative 12 Baseline x Superscript 5 Baseline x Superscript negative 4. Need Help ASAP!
Answer:
[tex](x^{-3} )^{2}[/tex]
[tex]x^6 x^{-12}[/tex]
Step-by-step explanation:
[tex](x^{3} x^{-6} )^{2}[/tex] is the expression given to be solved.
First of all let us have a look at 3 formulas:
[tex]1.\ p^a \times p^b = p^{(a+b)}\\2.\ (p^a \times q^b)^c = (p^{a})^c \times (q^{b})^c\\3.\ (p^a)^b = p^{a\times b}[/tex]
Both the formula can be applied to the expression([tex](x^{3} x^{-6} )^{2}[/tex]) during the first step while solving it.
Applying formula (1):
[tex](x^{3} x^{-6} )^{2}[/tex]
Comparing the terms of [tex](x^{3} x^{-6} )[/tex] with [tex]p^a \times p^b[/tex]
[tex]p=x, a =3, b=-6[/tex]
[tex]\Rightarrow x^{3+(-6)}\\\Rightarrow x^{3-6}\\\Rightarrow x^{-3}[/tex]
So, [tex](x^{3} x^{-6} )^{2}[/tex] is reduced to [tex](x^{-3} )^{2}[/tex]
Applying formula (2):
Comparing the terms of [tex](x^{3} x^{-6} )^{2}[/tex] with [tex](p^a \times q^b)^c[/tex]
[tex]p=q=x, a =3, b=-6, c=2[/tex]
[tex]\Rightarrow (x^{3})^2\times (x^{-6})^2\\\text{Applying Formula (3)}\\x^6 x^{-12}[/tex]
So, [tex](x^{3} x^{-6} )^{2}[/tex] is reduced to [tex]x^6 x^{-12}[/tex].
So, the answers can be:
[tex](x^{-3} )^{2}[/tex]
[tex]x^6 x^{-12}[/tex]
Answer:
b d
Step-by-step explanation:
Gross Pay: $1287.50 Calculate Federal Income Tax (10% of Gross Pay):
Answer:
$128.75
Step-by-step explanation:
Gross Pay = $1287.50
Income Tax = 10% of Gross Pay
Income Tax = 10% of $1287.50
Income Tax = 10/100 * $1287.50 = $128.75
Thus, federal income tax is $128.75.
please help with math
Answer:
The triangular prism is a better deal because you get 204 in³ for the same price you would pay for 128 in³ with a trapezoidal prism.
Step-by-step explanation:
The trapezoidal prism has volume 32*4=128 cubic inches. The triangular prism has volume 34*6=204 inches. Since the triangular prism is more voluminous, it is the better deal. Hope this helps!
An artist can sell 20 compies of a painting for $100 each, but for each additional copy he makes the value of each painting will go down by 1 dollar. How many copies should he make to maximize the profit?
Answer:
40 copies for $3000
Step-by-step explanation:
First: The Equation
y=(20+x)(100-x)
This shows how for every new painting, the price will go down.
y=2000+80x-x²
Convert it to standard form: ax²+bx+c
You can now choose to graph it or find the vertex form. For the limit of time, I will just use a graph.
The vertex, (40,3000), is your answer, where the x value is the number of paintings and the y value the money made.
What is the equation of the line that is parallel to the line y - 1 = 4(x + 3) and passes through the point (4, 32)?
Oy= 4x + 33
Oy=*x + 36
O y = 4x - 16
O y = 4x + 16
Answer:
4x +16 the slope is 4 because its parallel to the other equation
The solution is: the equation of the line that is parallel to the line
y - 1 = 4(x + 3) and passes through the point (4, 32) is y = 4x + 16.
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
Here, we have,
When two lines are parallel, their slope stays the same. thus we have y = 4x (so far)
Then use the point (4, 32) to plug in the coordinates to y = 4x + b
y = 4x + b (because y-intercept changes)
32 = 4(4) + b
32 = 16 + b
b = 32 - 16
b = 16
now, we get,
the y-intercept is 16 and the equation of the line that passes through the point (4,32) and is parallel to the line y = 4x + 13 is y = 4x + 16.
Hence, The solution is: the equation of the line that is parallel to the line
y - 1 = 4(x + 3) and passes through the point (4, 32) is y = 4x + 16.
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sorry i can not answer any more questions i get my answers from google sorry brainly and everyone else here i will not answer anymore you guys get so mad at me sorry :) hope you understand why i am not answering :)
Answer:
Yo whats up
Step-by-step explanation:
...
Answer:
OK but you get specific answers here and you can't always find the exact thing you're looking for on google
Step-by-step explanation:
A store that normally sells a docking station for an iPod for $128 is having a sale. Everything is discounted 35%. What is the sale price of the docking station?
Answer:
$83.2
Step-by-step explanation:
price= $128
sale discount= 35%
sale price= $128- 35%= $128*0.65= $83.2
Answer:
83.2$
Step-by-step explanation:
Given:
A docking station for an iPod cost 128$.
The discount percent is 35%.
Solve for:
The sale price of docking station.
Solution:
The amount of discounted price (DP) could be calculated by formula:
DP = original price x discount percent
= 128 x 35%
= 128 x 35/100
= 44.8$
=> The sale price (P) is:
P = original price - discounted price
= 128 - 44.8
= 83.2$
Hope this helps!
Find 1-2) for the function f(x) = 3.12 - 2x + 7.
-13
1
23
Answer:
The answer is -13.
Step-by-step explanation:
Work out the sum of
13/15
and
3/10
.
Give your answer in its simplest form.
Answer: 26
Step-by-step explanation:
cut 3 and 15
cut 5/10 which was 15/10
15/10=2
then multiply 13*2 = 26
You have 120 feet of fencing for a garden. The fencing is sold in 5-foot sections. What is the area of the largest garden you can build?
A square typically has the larger area than a rectangle of similar size.
120 / 4 sides = 30 feet per side
30 x 30 = 900 square feet
find the value of root 121 + 3 over root 125
The value of the given expression √121 + ∛125 would be 16 which is determined by the square root and cube root properties.
What is Prime Factorization?Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized. Any integer with exactly two factors 1 and the number itself. is said to be a prime number.
The expression below which is given in the question
⇒ √121 + ∛125
Here 11×11 = 121 and 5×5×5 = 125
⇒ √(11×11) + ∛(5×5×5)
By the square root and cube root properties to get
⇒ 11 + 5
Apply the addition operation,
⇒ 16
Thus, the value of the given expression √121 + ∛125 would be 16.
Learn more about Prime Factorization here:
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Alan is at an ice cream shop. The shop offers three types of cones (regular, waffle, and chocolate), and two flavors of ice cream (chocolate and strawberry).
The ice cream shop has a special on a random cone and ice cream flavor picked by a computer program. What is the probability that Alan will get waffle cone with strawberry ice cream if he asks for the special? (Round the answers to the nearest hundredth.)
There is a 1 in 6 chance.
Answer:
0.17
Step-by-step explanation:
A circle has a radius of $14.$ Let $\overline{AB}$ be a chord of the circle, such that $AB = 12$. What is the distance between the chord and the center of the circle?
Answer:
7.2
Step-by-step explanation:
The radius of the circle is 14.
The length of the chord is 12.
Half the length of the chord and radius form a right angled triangle as shown in the diagram below.
We need to find one of the sides of the triangle, d in the diagram.
Using Pythagoras rule:
[tex]14^2 = 12^2 + d^2\\\\196 = 144 + d^2\\\\d^2 = 196 - 144 = 52\\\\d = \sqrt{52} = 7.2[/tex]
The distance between the chord and the center of the circle is 7.2
Answer: 4sqrt10
Step-by-step explanation: The Chord is 12 so half the chord is 6 so the base is 6 and the radius is the hypotenuse, which is 14. and the distance is the missing leg.
so 14^2=6^2+x^2
196=36+x^2
sqrt160=x
4sqrt10=x