Answer:
[tex](8\sqrt{15}).b^{\frac{9}{2} }[/tex]
Step-by-step explanation:
[tex]\sqrt{24b^{3} } . \sqrt{40b^{2} } .b^{2} = (\sqrt{24})b^{\frac{3}{2} } . (\sqrt{40})b. b^{2} \\\\= (\sqrt{24.40}).b^{\frac{3}{2} + 1 +2} \\\\= \sqrt{960} .b^{\frac{9}{2} } \\\\= 8\sqrt{15}.b^{\frac{9}{2} }[/tex]
Answer:
8b^3\sqrt[15b]
Step-by-step explanation:
I did it on Khan Academy
Fast question please help
Uri wants to buy a sweatshirt that costs $16.00. If the tax is 8%, about how much will Uri need to buy the sweatshirt?
O A) $14.72
OB) $16.08
O C) $17.28
OD) $29.30
Answer:
$16.00 * (100% + 8%) = $17.28
How do I solve this problem and check all the solutions?
Answer:
x-5=sqrt(2x+5)
then square both sides
x2-10x+25=2x+5
x2-8x+20=0
rest is trivial
Step-by-step explanation:
Answer:
x = 10
Step-by-step explanation:
Given
x - [tex]\sqrt{2x+5}[/tex] = 5 ( subtract x from both sides )
- [tex]\sqrt{2x+5}[/tex] = 5 - x ( divide all terms by - 1 )
[tex]\sqrt{2x+5}[/tex] = x - 5 ( square both sides )
2x + 5 = (x - 5)²
2x + 5 = x² - 10x + 25 ( subtract 2x + 5 from both sides )
0 = x² - 12x + 20 ← in standard form
0 = (x - 2)(x - 10) ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x - 10 = 0 ⇒ x = 10
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are the solutions
x = 2
2 - [tex]\sqrt{4+5}[/tex] = 2 - [tex]\sqrt{9}[/tex] = 2 - 3 = - 1 ≠ 5
Thus x = 2 is an extraneous solution
x = 10
10 - [tex]\sqrt{20+5}[/tex] = 10 - [tex]\sqrt{25}[/tex] = 10 - 5 = 5 = right side
Thus x = 10 is the solution
The temperature was -5 ℉ in Denver and then fell 8 ℉ by the morning.
The temperature was -15 ℉ im Minneapolis and then rose 9 ℉ in the morning.
At midnight the temperature is -6℃. At midday the temperature is 9℃. By how much did the temperature rise
The temperature is -2℃. If the temperature rises by 15℃, what is the new temperature?
Answer:
The new temperature is 13 degrees Fahrenheit
Step-by-step explanation:
-38=-2(n+6)+6(3n+1) Can you please solve marking branlest show work
Answer:
n = -2
Step-by-step explanation:
-38 = -2n -12 +18n +6
-38 =16n -6
-38 +6 =16n
-32= 16n
n=-2
plz help GET LOTS OF POINTS!!!!!!
The trend line passes through points (2,5) and (6,11). What is the slope of the trend line?
What is the y-intercept of the trend line?
Y=___X +___
Answer:
slope = 3/2
y intercept = 2
y = 3/2x + 2
Step-by-step explanation:
to find the slope you will you (y₂-y₁) ÷ (x₂-x₁)
(11-5) ÷ (6-2) =
6 ÷ 4 = 3/2
slope = 3/2
to find the y intercept you with use the slope intercept formula (y = mx+ b) and use one point given for x and y
for the example im going to use the point (2,5)
5 = 3/2 (2) + b
5 = 3 + b
subtract three from both sides to find b (y-intercept)
b = 2
PLS HELP I WILL GIVE YOU A GOOD BRAINLY SCORE!!!!!!!!
Answer:
I cannot see what the titles in the chart say, so cannot help.
Step-by-step explanation:
Let’s say the chart says this:
Total | Bob | George
5 dics 2 dics. 3 Discs
Unless they give you a total number, and an expression, you cannot solve for x.
A local grocery store makes a 6-pound mixture of trail mix. The trail mix contains raisins, sunflower seeds, and chocolate-covered peanuts. The raisins cost $3 per pound, the sunflower seeds cost $1 per pound, and the chocolate-covered peanuts cost $1.50 per pound. The mixture calls for twice as many raisins as sunflower seeds. The total cost of the mixture is $11.50. Write a system of equations for the situation and solve for the amount of each item in the trail mix.
Answer:
The mass of sunflower seeds in the mixture is 1-pound
The mass of chocolate-covered peanuts in the mixture is 3-pounds
The mass of raisins in the mixture is 2-pounds
Step-by-step explanation:
The given parameters are;
The cost per pound of raisins = $3
The cost per pound of sunflower seeds = $1
The cost per pound of chocolate-covered peanuts = $1.50
The mass of raisings in the mixture = 2 × The mass of sunflower seeds in the mixture
The total cost of the mixture = $11.50
The mass of the mixture = 6-pounds
Let x represent the mass of sunflower seeds in the mixture, and y represents the mass of chocolate-covered peanuts in the mixture, we have;
The mass of raisins in the mixture = 2 × x
The system of equation are;
2·x + x + y = 6...(1)
2·x × 3 + x × 1 + y × 1.5 = 11.50...(2)
Simplifying the above two equations give;
For equation (1), we have;
3·x + y = 6...(1)
For equation (2), we have;
7·x + 1.5·y = 11.50...(2)
Making y the subject of both formulas, gives;
For equation (1), we have;
y = 6 - 3·x
For equation (2), we have;
y = 11.50/1.5 - 7/1.5·x
Equating both equations of y, to find the common solution as follows;
6 - 3·x = 11.50/1.5 - 7/1.5·x
7/1.5·x - 3·x = 11.50/1.5 - 6
14/3·x - 3·x = 23/3 - 6
5/3·x = 5/3
x = 3/5 × 5/3 = 1
x = 1
The mass of sunflower seeds in the mixture = x = 1-pound
y = 6 - 3·x = 6 - 3 × 1 = 3
y = 3
-The mass of chocolate-covered peanuts in the mixture = y = 3-pounds
The mass of raisins in the mixture = 2 × x = 2 × 1 = 2-pounds.
Peter rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total of 11.
Hi please answer urgently
Answer:
5+6=11
So,the probability to get 11 is 5+6
Step-by-step explanation:
Answer:
5 + 6 = 11
Step-by-step explanation:
a dice contains 6 numbers
1, 2, 3, 4, 5 and 6
Peter rolls 2 fair dice and adds the results from each.
So, 5 + 6 = 11
in fraction = 2/11
-TheUnknownScientist
triangle ABC has vertices at A (-12,-8) B (10,-6) and C (6,14. What is the midpoint of side AC of the triangle?
Step-by-step explanation:
midpoint of AC=(x¹+x²/2,y¹+y²/2)
=(-12+6/2,-8+14/2)
=(-6/2, 6/2)
=(-3,3)
what is the probability that Sophie draws a heart and then rolls either a 4 or 6
Answer:
Step-by-step explanation:
1/12
Five years ago, John's age was half of the age he will be in 8 years. How old is he now?
The answer would be John is 18 years old
Please help! It’s already late! Help asap!
Answer:
D
Step-by-step explanation:
Solve the equation that represents: The difference of five times a number and 6 is -2.
Answer:
5n-6= -2
Step-by-step explanation:
The difference of...... this means its asking us to subtract one number from another number
5 times a number...... that means 5n
6..... since it said DIFFERENCE, it would be -6
is -2........ this means the answer to the equation is -2
So the equation is 5n-6= -2
Hope this helps!
What is the rate of change of y with respect to x for 9x - 11y + 2 = 0?
a. 9/11
b.2/11
c.11/9
d.2/9
Answer:
The answer is A: 9/11
State whether the relation is a function: {(1,2), (2,4),(-3,-6), (0,0)). Then
explain why.
Answer:
[tex]\boxed {\boxed {\sf Yes}}[/tex]
Step-by-step explanation:
According to the definition of a function, each input must have one output.
The input is x and the output is y. Basically, for every x there can only be one y.
The relation given is:
{ (1,2) , (2,4), (-3,-6), (0,0)}
To check if it's a function, make sure each x only appears once.
The x is the first number in a point.
We see that each x (1,2,-3,0) is only listed once, so this must be a function.
Another way to check is by graphing the points and using the Vertical Line Test.
If a vertical line is drawn and crosses the function more than once at any given part of the line, it isn't a function.
The points pass the vertical line test, so this is a function.
0.001 is 1/10 the value of?
Answer:
0.01
Step-by-step explanation:
A fraction is a way to describe a part of a whole. 0.001 is 1/10 the value of 0.01.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
Let the value be represented by x.
x × 1/10 = 0.001
x = 0.001 × 10
x = 0.01
Hence, 0.001 is 1/10 the value of 0.01.
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(7q - 6) (4q - 5) = 0
Answer:
q=30/31
To find:
q
Step-by-step explanation:
(7q - 6) (4q - 5) = 0
7q(4q - 5) + -6(4q - 5) = 0
7q × 4q - 7q × 5 - 6 × 4q + 6 × 5 = 0
28q - 35q - 24q + 30 = 0
28q - 59q + 30 = 0
-31q + 30 = 0
-31q = -30
q = -30/-31
q = 30/31
hope you understood:))
Please help 30 points
Answer (see photo below):
I hope this helps!
Answer:
Step-by-step explanation:
First, we find the formula. Since we have a slope and only one point we can use the Slope Form, which is "y - y1 = m(x - x1)". Now to find The Slope Intercept Form.
Formula = y - y1 = m(x - x1)
Slope = 3/4 or 0.75
Point = (2,-3)
y - y1 = m(x - x1)
y - (-3) = 3/4(x - 2)
y + 3 = 3/4x - 1.5
y = 3/4x - 1.5 - 3
y = 3/4x - 4.5
Graph is shown below.
------------------------
|
V
the base salary of an employee and a 2% salary increase
I'm assuming the base salary of this employee is $25.00
25.00+2%
Convert the percent into a decimal.
0.02
Now multiply.
25.00x0.02=0.5
Now add to the base salary.
25.00+0.50=$25.50
The 2% increase was $0.50
The total is $25.50
nya
Help me pleaseeeeeeeeeeeeeee
Answer:
it looks to be the second answer
Step-by-step explanation:
What is:
5+5(5-5•5)-5 = ?
Answer:
-100
Step-by-step explanation:
EASY QUESTION
You are making gift bags for a school party. You have 48 pencils, 80 markers, and 64 stickers. Each gift bag will have the same number of each item. You want to use all of the items.
What is the greatest number of gift bags you can make?
Answer:
i think it is 48 because each gift bag will have the same number of each item,
so if each gift bag has 1 pencil, 1 marker, 1 sticker, we will have the greatest number of gift bags.
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
the greatest common factor of 48,80 and 64 is 16
Help me plzzzzzzzzzzzzzz
Answer:
Step-by-step explanation:
you can't get the answer if you don't know x
what is the shortest possible distance between the houses
Answer:
A.) 8.5 miles
Step-by-step explanation:
I think its a because it says "THE SHORTEST possible" distance between the houses. So A.) 8.5 miles is the correct answer because A.)8 .5 miles is the shortest answer in the list of answers.
Hope this helped.
The shortest distance between the two houses is 13 miles.
What is Pythagoras's theorem?In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
By observing the diagram we conclude that the shortest distance is the hypotenuse of the right-angled triangle that will form.
Given, The base is 12 miles and the height is 5 miles.
Therefore by Pythagoras' theorem,
Hypotenuse = √(5² + 12²).
Hypotenuse = √(25 + 144).
Hypotenuse = √(169).
Hypotenuse = 13 miles.
So, The shortest distance between the houses is 13 miles.
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I need help with my homework
Answer:
The measure of the arc RQ is 160°
Step-by-step explanation:
In any circle, the measure of the subtended arc of an inscribed angle is twice the measure of this inscribed angleThe measure of any circle is 360°Let us use these rules to solve the question
In the given figure
∵ ∠RPQ is an inscribed angle subtended by arc RQ
∴ m of arc RQ = 2 × m∠RPQ
∴ m∠RPQ = 5x + 15
∴ m of arc RQ = 2 × (5x + 15)
→ Multiply the bracket by 2
∴ m of arc RQ = 2(5x) + 2(15)
∴ m of arc RQ = 10x + 30
∵ The measure of the circle = 360°
∵ The sum of the measures of arcs RQ, QP, and PR equals the measure
of the circle
∵ m of arc QP = 6x - 12
∵ m of arc PR = 9x + 17
→ Add them and equate the sum by 360°
∴ 10x + 30 + 6x - 12 + 9x + 17 = 360
→ Add the like terms in the left side
∵ (10x + 6x + 9x) + (30 - 12 + 17) = 360
∴ 25x + 35 = 360
→ Subtract 35 from both sides
∴ 25x = 325
→ Divide both sides by 25 to find x
∴ x = 13
→ To find the measure of arc RQ substitute x by 13 in its measure
∵ m of arc RQ = 10(13) + 30 = 130 + 30
∴ m of arc RQ = 160°
∴ The measure of the arc RQ is 160°
Hellppp!!! I need help with the problem that the pencil is pointing ay
Answer:
8/3
Step-by-step explanation:
[tex](-2)^{3}[/tex]÷(-3)
Remember the order of operations,
1. parenthesis
2.exponenets
3. multiplication/ division
4. addition/ subtraction
[tex](-2)^{3}[/tex]÷(-3)
= -8 / -3
= 8/3
URGENT HELP YALL WITH THIS. I WILL MARK YOU BRAINLIEST
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex](9x + 17) +2 \times ( 5x + 15 ) + (6x - 12) = 360 \\ [/tex]
[tex]9x + 17 + 10x + 30 + 6x - 12 = 360 \\ [/tex]
[tex]9x + 10x + 6x + 17 + 30 - 12 = 360 \\ [/tex]
Collect like terms
[tex]25x + 35 = 360[/tex]
Subtract sides 35
[tex]25x + 35 - 35 = 360 - 35[/tex]
[tex]25x = 325[/tex]
Divide sides by 25
[tex] \frac{25x}{25} = \frac{325}{25} \\ [/tex]
[tex]x = 13[/tex]
Thus ;
[tex]RQ \: \: arc =2 \times (5x + 15)[/tex]
[tex]RQ \: \: arc = 10x + 30[/tex]
[tex]RQ \: \: arc = 10(13) + 30[/tex]
[tex]RQ \: \: arc = 130 + 30[/tex]
[tex]RQ \: \: arc = 160°[/tex]
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Megan has 3 red marbles, 6 blue marbles, and 9 yellow marbles. What is the ratio of red marbles to blue marbles?
A.
(6/3) or 6:3
B.
(3/6) or 3:6
C.
(6/9) or 6:9
Answer: B. 3/6
Step-by-step explanation:
The ratio is how much of it is it. So if there’s 3 red marbles, and 6 blue, you put it so if the ratio is red to blue you’d put 3/6 let’s say it was blue to red, then you’d put 6/3.
PLEASE HELP ME
Analia is a school district manager. Here are some details about two schools in her district for the last school year:
School A School B
Number of students 300030003000 400040004000
Number of teachers 190190190 380380380
Graduation rate 86\%86%86, percent 90\%90%90, percent
Budget per student \$10{,}500$10,500dollar sign, 10, comma, 500 \$10{,}000$10,000dollar sign, 10, comma, 000
% of students in sports club 62\%62%62, percent 68\%68%68, percent
Number of sports medals won 999 777
SAT average 120012001200 105010501050
SAT range (max-min) 900900900 700700700
Analia wants to know which school has higher academic achievements relative to the budget per student.
1) Analia thought of two different ways to define this quantity. Identify these two definitions among the following options.
Choose 2 answers:
Choose 2 answers:
(Choice A)
A
SAT average divided by budget per student
(Choice B)
B
Graduation rate divided by budget per student
(Choice C)
C
Number of sports medals won divided by budget per student
(Choice D)
D
Graduation rate divided by number of sports medals won
2) Determine which school has higher academic achievements relative to the budget per student, according to the two definitions. Did you get the same result for both definitions?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Yes. According to both definitions, School A has higher academic achievements relative to the budget per student.
(Choice B)
B
Yes. According to both definitions, School B has higher academic achievements relative to the budget per student.
(Choice C)
C
No. The definitions have opposite results.
The two different quantities to measure which school has higher academic performance are:
Graduation rate / Budget per studentSAT average / Budget per studentHow to illustrate the information?The parameters which could be used to measure academic achievement are the graduation rate of each school he SAT average of each school.
Therefore, defining the quantity to measure academic achievement relative to budget per student could be expressed as the graduation rate divided by the budget per student. It can also be the SAT average divided by the Budget per student.
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Answer:
SAT average/budget per student and graduation rate/budget per student----No, the definitions have opposite results
Step-by-step explanation:
khan
Gumballs cost $0.50 each, and jawbreakers cost $0.30 each. Bob has $3.00 to spend on candy. Create an inequality that represents the number of gumballs and jawbreakers Bob can buy.
Answer:8 gumballs 3 jaw breakers
Step-by-step explanation:
Using an inequality to represent the expression and it's constraint, the required expression would be 0.50g + 0.30j ≤ 3
Given the Parameters :
Gumball cost, g = $0.50Jawbreaker cost, j = $0.30Maxumum amount to spend = $3.00(Cost of gumball × number of gumballs + Cost of Jawbreaker × number of gumbreakers) ≤ maximum cost
0.50g + 0.30j ≤ 3
Hence, the required inequality expression is 0.50g + 0.30j ≤ 3
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