Answer:
[tex]3\sqrt{6x^2} = 3x\sqrt{6}[/tex]
Step-by-step explanation:
Given
[tex]3\sqrt{6x^2[/tex]
Required
Express as a radical
Split
[tex]3\sqrt{6x^2} = 3\sqrt{6} * \sqrt{x^2[/tex]
[tex]\sqrt{x^2} = x[/tex]
So:
[tex]3\sqrt{6x^2} = 3\sqrt{6} * x[/tex]
This gives:
[tex]3\sqrt{6x^2} = 3x\sqrt{6}[/tex]
use an inequality symbol(<, > , =,< to
compare-3+7 -10 -2
Douglas works for a racing car team.
The team is practising at a racing circuit
The length of the racing circuit is 4.8 kilometres.
The team car takes 2 minutes to go once round the racing circuit.
(a) Work out the average speed of the team car.
Give your answer in kilometres per hour.
(3)
Write your answer in the box below.
kilometres per hour
Show your working clearly in the
The working box can be moved
Working Box
(b) Use estimation to show a check of your answer.
(1)
Write your check in the box below.
Answer: the answer is c
Step-by-step explanation:
Apply the distributive property to create an equivalent expression. 6(3c-5d+6) = ?
Answer:
18c-30d+36
Step-by-step explanation:
6(3c-5d+6)
= 6(3c)-6(5d)+6(6)
= 18c-30d+36
Maria just inherited $10,000. Her bank has a savings account that pays 4.1% interest per year. Some of her friends recommended a new mutual fund, which has been in business for three years. During its first year, the fund went up in value by 10%; during the second year, it went down by 22%; and during its third year, it went up by 12%. Maria is attracted by the mutual fund's potential for relatively high earnings but concerned by the possibility of actually losing some of her inheritance. The bank's rate is low, but it is insured by the federal government. Use decision theory to find the best investment. (Assume that the fund's past behavior predicts its future behavior).
Answer:
Step-by-step explanation:
From the given information, it is evident that there is no assurance that the value of the mutual funds will give, and perhaps by looking at the trend, there is a net expected value of (10% - 22% + 12%) = 0% which literally doesn't differ from the what is given by the bank is a guaranteed one. From the perspective of decision theory, the best option is to use a bank because we would likely need to go for a guaranteed interest as opposed to going for an unexpected share.
Use the theoretical method to determine the probability of the following outcome and event. State any assumptions made.
Tossing two coins and getting either one head or two heads
When the polynomial 4x4–13x2–2x + 1 is divided by the polynomial x –2, what is the remainder?
A) -23
B) 1
C) 9
D) 17
Step-by-step explanation:
answer is C
the process is shown in picture
What is a irregular concave polygon
Answer:
An irregular polygon is any polygon that is not a regular polygon. It can have sides of any length and each interior angle can be any measure. They can be convex or concave, but all concave polygons are irregular since the interior angles cannot all be the same.
Step-by-step explanation:
Please help!!
I need to factor P(x)=x^4+50x^2+625
I thought the answer was P(x)=(x^2+25)^2
But it isn’t could someone please help with the answer?
x
4
+
50
x
2
+
625Rewrite
625
as
25
2
.
u
2
+
50
u
+
25
2
Check the middle term by multiplying
2
a
b
and compare this result with the middle term in the original expression.
2
a
b
=
2
⋅
u
⋅
25
Simplify.
2
a
b
=
50
u
Factor using the perfect square trinomial rule
a
2
+
2
a
b
+
b
2
=
(
a
+
b
)
2
, where
a
=
u
and
b
=
25
.
(
u
+
25
)
2
Replace all occurrences of
u
with
x
2
.
(
x
2
+
25
)
2
Attempt if smart please help
How many ways are there to form a 4-digit odd number using the digits
3, 4, 5 and 8 without repeating the digits in each number?
Answer:
12
Step-by-step explanation:
There are 2 ways to choose the last digit (3 or 5), because the number has to be odd.
We're left with 3 digits that we need to arange anyhow. First digit we can choose any of the 3, then any of the 2 left. At the end, there's only one digit to choose.
Answer is 2 * 3 * 2 = 12
calculate the variance and standard deviation for the following samples set of data. 83.6,92.3,56.5,43.8,77.1,66.7. (Do not round intermediate calculation. Round your final answers and the nearest tenth.)
Answer:
Variance: 322.4479999999996
Standard Deviation: 17.956837137981722
Is 9 a solution of the equation 9x+8=7x?
Answer:
Download ka po ng PHOTO MATH app . with solution na yan:) lahat ng problema mo sa solving sagot agad
The number of polar bears in a region is decreasing by 5% per year There are 3000 polar bears in the region in 2017 What year will be the first year with less than 1000 polar bears in the region
Answer:
2031
Step-by-step explanation:
3000divide100=30x5=150x14=2100
2017+14=2031 w
In 2031 years, the first year with less than 1000 polar bears in the region.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The number of polar bears in a region is decreasing by 5% per year.
And, There are 3000 polar bears in the region in 2017.
Let after x years there are less than 1000 polar bears in the region.
Hence, We can formulate;
⇒ 3000 - 5% of 3000 × x < 1000
⇒ 3000 - 5/100 × 3000 × x < 1000
⇒ 3000 - 150x < 1000
⇒ 3000 - 1000 < 150x
⇒ 2000 < 150x
⇒ 2000/150 < x
⇒ 13.33 < x
So, The first year with less than 1000 polar bears in the region is getting after 14 years.
So, The value of years = 2017 + 14
= 2031
Learn more about the mathematical expression visit:
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What is the answer to 7x-2=5x+16
Answer:
x=9
Step by step explanation:
Add 2 to both sides, simplify, subtract 5x from both sides
Answer:
x = 9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
7x - 2 = 5x + 16
Step 2: Solve for x
[Subtraction Property of Equality] Subtract 5x on both sides: 2x - 2 = 16[Addition Property of Equality] Add 2 on both sides: 2x = 18[Division Property of Equality] Divide 2 on both sides: x = 9Sam has $35 in his wallet. He spent 2/5 on his wallet. How many dollars does he have left?
Answer:
15
Step-by-step explanation:
Answer:
2/5×$35 = 2/1×$7 = 2×7 = $14
1.5x= 3 help me I don't know what this means
Answer:
x = 2
Step-by-step explanation:
simple
just divide 3 by 1.5 to get x
3 / 1.5 = 2
so
x = 2
Hope this helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
You cannot use critical numbers and test intervals to solve quadratic and
rational inequalities.
True
False
Answer:
False
Step-by-step explanation:
You can use test intervals and critical numbers to solve quadratic and rational inequalities.
irections: Find the area of each figure round to the nearest tenth where necessary.
2
Answer:
21 x 33 = 693
16 x 7 divided by 2 = 216
17.6 x 17.6 divided by 2 = 154.9
19 x 7.8 = 148.2
7 + 2 x 5.5 divided by 2 = 24.8
10 x 12 = 120
Please wait for more responses if needed!
Select the correct answer.
What is the range of the function graphed below?
у
8
6
-
2
-4
HX
- 2
2
4
6
2
4
-6
OA - < y < -2
Answer:
B
Step-by-step explanation:
The range of the function is - ∞ < y < 2
How to determine the range?The range of the function are the set of output values of the function.
From the given graph, the values of the graph increases from negative infinity and ends at 2
So, the range of the function is - ∞ < y < 2
Read more about range at:
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PLS SOMEONE HELP!! DUE TODAY
Answer:
XZ > XY > YZ
Step-by-step explanation:
1. Approach
To solve this problem, one must find the value of (x), then the measure of every angle in the triangle. Remember, the sum of all angles in a triangle is equal to 180 degrees. Another property of a triangle is that the largest side of a triangle will be opposite the largest angle of the triangle, conversely, the smallest side of a triangle will be opposite the smallest angle in the triangle.
2. Find the value of (x)
The sum of all angles in a triangle is equal to 180 degrees. Using this theorem, one can state,
m<X + m<Y + m<Z = 180
Substitute,
(50) + (5x + 10) + (5x) = 180
Simplify,
10x + 60 = 180
Inverse operations,
10x + 60 = 180
-60 -60
10x = 120
/10 /10
x = 12
3. Find the measure of each angle
Now substitute the value of (x) into the expressions given to represent the value of each angle.
m<X = 50
m<Y = 5x + 10 = 5(12) + 10 = 60 + 10 = 70
m<Z = 5x = 5(12) = 60
4. Now apply this to find the comparative lengths of the sides
One property of a triangle is that the side opposite the largest angle in the triangle is the largest side. Moreover, the side opposite the smallest angle in a triangle is the smallest side. In this problem, it is impossible to find the exact lengths of the sides of the triangle, but one can find out which side is larger or smaller than the other side.
m<Y = 70
m<Z = 60
m< X = 50
m<Y > m<Z > m<X
Side XZ is opposite m<Y
Side XY is opposite m<Z
Side YZ is opposite m<X
This means,
XZ > XY > YZ
Please help me! II'll give you brainliest!
Answer:
x=7
Step-by-step explanation:
4x-12=16
4x=28
x=7
write an exponential function y=ab^x for a graph that includes (2,4) and (3,16)
Answer:
Using the equation y = abx , substitute both of your given points into that equation.
2 = ab2 and 4 = ab3 Solve each equation for a.
2⁄b2 and 4⁄b3 = a
Therefore, 2⁄b2 = 4⁄b3
Cross multiply: 2b3 = 4b2
Divide both sides by b2
2b = 4
a = 2/4 = 1/2
b = 2
y = 1 (2)x
2
Hope it helps
Please mark me as the brainliest
Thank you
9514 1404 393
Answer:
y = (1/4)4^x
Step-by-step explanation:
In general, you can use a 2-point form to write the exponential function for points (x1, y1) and (x2, y2) as ...
y = y1·(y2/y1)^((x -x1)/(x2 -x1))
Using the given points, this becomes ...
y = 4·(16/4)^((x -2)/(3 -2)) = 4·4^(x-2)
We can eliminate the exponent arithmetic by making use of a couple of rules of exponents.
y = 4·(4^x)(4^-2) = (4^-1)(4^x)
y = (1/4)(4^x)
Simplify the expression 1/2(h+4) - 1/8(h+4) by combining like terms.
A. 1/6 (h+4)
B. 3h/8 + 2/10
C. 3/8 (h-4)
D. 3/8 (h+4)
WILL GIVE BRAINLIEST IF THE ANSWER IS CORRECT.
Answer:
3h/8+3/2
Step-by-step explanation:
Answer:
D. should be the correct answer.
214 out of 450 students went to a concert, what percent did not go?
Answer:
.75% .0075 of the people that went to the concert said they would go if they could not see the band again. To find this you simply divide 9 by 1200, which equals .0075
Step-by-step explanation:
Answer:
% 236 did not go
% Decimal 2.36
Step-by-step explanation:
% 450 - 214
The owner of a local nightclub has recently surveyed a random sample of 300 customers of the club. She would now like to determine whether or not the mean age of her customers is over 35. If so, she plans to alter the entertainment to appeal to an older crowd. If not, no entertainment changes will be made. Suppose she found that the sample mean was 35.5 years and population standard deviation was 5 years. What is the p-value associated with the test statistic
Answer:
0.0416
Step-by-step explanation:
Given :
Sample size, n = 300
Sample mean, x = 35.5
Population mean, m = 35
Standard deviation, s = 5
The test statistic :
Zstatistic = (x - m) / s/sqrt(n)
Zstatistic = (35.5 - 35) / 5/sqrt(300)
Zstatistic = 0.5 / 0.2886751
Zstatistic = 1.732
Using the p value calculator from Zstatistic :
One tailed P value at 95% confidence interval is : 0.0416
Which is worked out correctly ?
Answer:
choice 2) 1/5 x 3/15 = 3/75 = 1/25
Step-by-step explanation:
Prove that the recurring decimal 0.43333... has the value 13/30
Answer:
0.43ᵣ = 0.1 + 0.33ᵣ = 1/10 + 1/3 = 3/30 + 10/30 = 13/30
The expression 0.43333... is equivalent to the fraction number 13/30. And it is proved below.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
x = 0.43333......
Multiply the equation by 10 on both sides, then we have
10x = 10 × 0.43333......
10x = 4.33333...... ...1
Multiply the equation by 100 on both sides, then we have
100x = 100 × 0.43333......
100x = 43.33333...... ...2
Subtract equation 1 from equation 2, then we have
100x - 10x = 43.3333.... - 4.3333.....
90x = 39
x = 39 / 90
x = 13 / 30
The expression 0.43333... is equivalent to the fraction number 13/30. And it is proved below.
More about the Algebra link is given below.
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Help does someone know the answer? I NEED IT NOW PLEASE
Point X is on a number line halfway between –5 and 11. Point Y
represents an integer that has the same absolute value as point X.
What integers could be represented by point Y?
please help asap
Answer:
[tex]y = 3[/tex] or [tex]y =-3[/tex]
Step-by-step explanation:
Given
x = midpoint of -5 and 11
y = absolute value of x
Required
Determine the value of y
First, calculate x.
[tex]x = \frac{1}{2}(-5 + 11)[/tex]
[tex]x = \frac{1}{2}(6)[/tex]
[tex]x = 3[/tex]
y can then be represented as:
[tex]|y| = x[/tex]
[tex]|y| = 3[/tex]
Split:
[tex]y = 3[/tex] or [tex]-y = 3[/tex]
[tex]y = 3[/tex] or [tex]y =-3[/tex]
Chloe scored 24 points over the first 12 games of the basketball season. She scored 112 points over the last 16 games of the season. How many more points per game did Chloe score in the last 16 games of the season?
Answer:
5 points
Step-by-step explanation:
First, find how many points per game she scored over the first 12 games:
24/12
= 2 points per game
Now, find how many she scored in the last 16 games:
112/16
= 7 points per game
Find the difference:
7 - 2
= 5
So, she scored 5 more points per game in the last 16 games
Answer:
first 12 games- 24/12= 2ppg
Last 16 games- 112/16= 7ppg
7-2= 5 points per game more
x+3= -10 what is x in the equation
A manufacturer produces two models of toy airplanes. It takes the manufacturer 20 minutes to assemble model A and 10 minutes to package it. It takes the manufacturer 25 minutes to assemble model B and 5 minutes to package it. In a given week, the total available time for assembling is 3000 minutes, and the total available time for packaging is 1200 minutes. Model A earns a profit of $10 for each unit sold and model B earns a profit of $8 for each unit sold. Assuming the manufacturer is able to sell as many models as it makes, how many units of each model should be produced to maximize the profit for the given week?
Answer:
[tex]\$1320[/tex]
Step-by-step explanation:
Let [tex]x[/tex] be the number of units of A
[tex]y[/tex] be the number of units of B
For assembling we have
[tex]20x+25y\leq 3000[/tex]
For packaging we have
[tex]10x+5y\leq 1200[/tex]
Let profits earned be [tex]Z[/tex] so
[tex]Z=10x+8y[/tex]
We have the maximize the function.
Plotting the equations we can see that the intersection points are [tex](0,120),(100,40),(120,0)[/tex]
In the question it is mentioned we have to sell both the products so [tex]x[/tex] or [tex]y[/tex] cannot be [tex]0[/tex].
So, the point of maximiztion for the function would be [tex](100,40)[/tex]
The maximum profit would be
[tex]Z=10\times 100+8\times 40\\\Rightarrow Z=1320[/tex]