Answer:
55 + 14[tex]\sqrt{6}[/tex]
Step-by-step explanation:
Given
(7 + [tex]\sqrt{6}[/tex] )² = (7 + [tex]\sqrt{6}[/tex] )(7 + [tex]\sqrt{6}[/tex] )
Each term in the second factor is multiplied by each term in the first factor, that is
7(7 + [tex]\sqrt{6}[/tex] ) + [tex]\sqrt{6}[/tex] (7 + [tex]\sqrt{6}[/tex] ) ← distribute both parenthesis
= 49 + 7[tex]\sqrt{6}[/tex] + 7[tex]\sqrt{6}[/tex] + 6 ← collect like terms
= 55 + 14[tex]\sqrt{6}[/tex]
b +cV 6 ÷12a
Step-by-step explanation:
let meknow 8i I am wrong
5 divide by 8 plus 9
Answer:
9.625
5 divided by 8= 0.625 + 9 = 9.625
Step-by-step explanation:
Answer:
9.625
Step-by-step explanation:
5/8=0.625, than add 9 to it, and have 9.625
La suma de un número natural y su cuadrado es de 72. Encuentra el número del que se trata.
Answer:
8
Step-by-step explanation:
Sea el número x El cuadrado será x ^ 2
Entonces la suma será; x ^ 2 + x = 72 x ^ 2 + x-72 = 0
x ^ 2 + 9x-8x-72 = 0
x (x + 9) -8 (x + 9) = 0
(x + 9) (x-8) x = 8 o -9
Como solo estamos considerando números naturales, la respuesta correcta es 8
An item on the sale rack at a local supermarket was marked $3.42. The original price of the item was $4.75.
What was the percent of the discount?
Answer:
$475
Step-by-step explanation:
The percentage of discount of the item is 72 %
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the percentage of discount in the price be = A
The marked price of an item at the supermarket = $ 3.42
The original price of an item at the supermarket = $ 4.75
Now , the equation will be
The percentage decrease = ( marked price of an item at the supermarket / original price of an item at the supermarket ) x 100
Substituting the values in the equation , we get
The percentage decrease A = ( 3.42 / 4.75 ) x 100
The percentage decrease A = 0.72 x 100
The percentage decrease A = 72 %
Therefore , the value of A is 72 % and the percentage of discount is 72 %
Hence , The percentage of discount of the item is 72 %
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The following is an example of what type of sequence? 3, 11, 19, 27, 35...
a geometric
C. ratio
b. arithmetic
ddifference
B....................
Answer:
b. Arithmetic .
Step-by-step explanation:
b because to get the next term you add 8.
Two tailors, Valentina and Laura, sit down to do some embroidery. Valentina can embroider 2 shirts per hour, and Laura can get through 3 shirts per hour. In addition, the tailors had previously finished some shirts. Valentina has already completed 15 shirts, and Laura has completed 11 shirts. Valentina and Laura decide to take a break when they have finished the same total number of shirts. How many shirts, in total, will each tailor have finished? How long will that take?
Answer:
Valentina and Laura finished the same total number of shirts in [tex]4[/tex] hours.
Total number of shirts finished by Valentina [tex]=23[/tex]
Total number of shirts finished by Laura [tex]=23[/tex]
Step-by-step explanation:
Suppose that Valentina and Laura finished the same total number of shirts in [tex]t[/tex] hours.
Valentina can embroider 2 shirts per hour and Valentina has already completed 15 shirts.
Total number of shirts finished by Valentina [tex]=2t+15[/tex]
Laura can get through 3 shirts per hour and Laura has completed 11 shirts.
Total number of shirts finished by Laura [tex]=3t+11[/tex]
Therefore,
[tex]2t+15=3t+11\\3t-2t=15-11\\t=4[/tex]
So,
Valentina and Laura finished the same total number of shirts in [tex]4[/tex] hours.
Total number of shirts finished by Valentina [tex]=2(4)+15=8+15=23[/tex]
Total number of shirts finished by Laura [tex]=3(4)+11=12+11=23[/tex]
Which of the following events is impossible?
Spinning a number that is neither odd nor even.
Spinning an odd number.
Spinning a number greater than 1.
Spinning a number less than 1.
Answer: number 4
Step-by-step explanation:
Answer:
Spinning a number that is neither odd nor even.
Step-by-step explanation:
Every number is either odd or even
Thomas has finished 50% of an art project that has taken him a total of 9 hours so far. If he continues to work at the same rate, how many hours will it take for him to complete the entire project?
Answer:
18
Step-by-step explanation:
If he has worked for 9 hours and its 50% done he has to work for 9 more hours to get it finished so he would have worked on it for 18 hours to get it totally finished
Thomas will take a total time of 18 hours to complete the entire project.
What is Percentage?Percentage of a number is the number of parts of that number in a total of 100. Percentage of a number is found by dividing the number with the whole and then multiply with 100.
Thomas has finished 50% of an art project that has taken him a total of 9 hours.
Let W be the work Thomas has to finish.
Quantity of work Thomas finished in 9 hours = 50% of W
= (50/100) × W
= 0.5W
Remaining work to complete = W - 0.5 W = 0.5W
Again he has to complete 0.5W of total work W which will take an additional 9 hours.
So the total time taken = 9 + 9 = 18 hours.
Hence the total time needed for Thomas to complete the work is 18 hours.
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What is the area of a rectangle with a width of x2 + x + 1 and a length of
3x2 - 2x - 1?
Answer:
[tex]x^{4}[/tex] + 3x³ - 3x - 1
Step-by-step explanation:
The area (A) of a rectangle is calculated as
A = lw ( l is the length and w the width ) , thus
A = (3x² - 2x - 1)(x² + x + 1)
Each term in the second factor is multiplied by each term in the first factor, then
A = 3x²(x² + x + 1) - 2x(x² + x + 1) - 1(x² + x + 1) ← distribute parenthesis
= 3[tex]x^{4}[/tex] + 3x³ + 3x² - 2[tex]x^{4}[/tex] - 2x² - 2x - x² - x - 1 ← collect like terms
= [tex]x^{4}[/tex] + 3x³ - 3x - 1
If a quadratic equation has no real solutions, is it still a function? I don't seem to know why
Answer:
That’s interesting I would figure isn’t a function because the point of a function is to find the solution but if there is no solu then it has lost its purpose.
In ΔIJK, ∠K ≅∠J, IJ = 9 and JK = 10. Find the length of KI.
Answer:
KI = 9
Step-by-step explanation:
In ΔIJK,
∠K ≅∠J (given)
Therefore,
IJ ≅ KI (sides opposite to equal angles are equal)
Since,
IJ = 9
So,
KI = 9
Frank went to the store and bought water, juice, and soda for everybody. Write an expression to show the total amount of beverages he bought. (Use w for water, j for juice, and s for soda.)
please help! id give you master brainlist.
Answer:
w + j + s = total amount of beverages
Step-by-step explanation:
3 + 5p − 12 = 2p + 12
Answer:
p=7
Step-by-step explanation:
Let's solve your equation step-by-step.
3+5p−12=2p+12
Step 1: Simplify both sides of the equation.
3+5p−12=2p+12
3+5p+−12=2p+12
(5p)+(3+−12)=2p+12(Combine Like Terms)
5p+−9=2p+12
5p−9=2p+12
Step 2: Subtract 2p from both sides.
5p−9−2p=2p+12−2p
3p−9=12
Step 3: Add 9 to both sides.
3p−9+9=12+9
3p=21
Step 4: Divide both sides by 3.
3p
3
=
21
3
p=7
Hope this helps have an amazing day!!
3x −4 = 11 what is the answer
Answer:
x=5
Step-by-step explanation:
Answer:
the answer is x=5
A business held a job fair for prospective employees. The number of women attending was 10 more than three times the number of men attending. A total of 180 people attended the meeting. Which system of equations could be used to find w, the number of women, and m, the number of men, at this meeting?
1. w = m + 10
w + m = 180
2. w = m + 10, , w + m = 180,
3w + m = 10
3. w + m = 180
3w + m = 10, , w + m = 180,
4. w = 3m + 10
w + m = 180
Answer:
Step-by-step explanation:
Option 4 is the correct answer
What is the slope of AB?
Answer: -2/3
Step-by-step explanation:
If you want to find the slope of something, the quick way is to use [tex]\frac{rise}{run}[/tex].
In this situation, the “rise” (change in y axis) is -2 because it’s going down and the “run” (change in x axis) is 3. Therefore, it’s -2/3.
The formula to find slope is:
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]
(I think, if I memorized it correctly)
Jack’s car used 18 gallons of gasoline to go 468 miles. At that rate, how many gallons would be used to go 754 miles? Explain how you know.
Answer:
29 gallons.
Step-by-step explanation:
For every gallon, a total number of 468/18 miles = 26 miles could be travelled.
And hence, to travel 754 miles, a total of 754/26 gallons = 29 gallons would be needed.
Hope this helped!
Mr Sanchez brought in 2 magazines for 9.95
Answer:
good for Mr. Sanchezbut thats a bit expensive ya know?????/
Step-by-step explanation:
5) Find the equation of the line going through the point (4,1) and
perpendicular to y = - 3x +7
Answer:
3y=x-1 OR y=⅓x-⅓
Step-by-step explanation:
Lets call the equation y=-3x+7 line l1
the other line passing through (4,1) l2
If two lines are perpendicular,then the product of their roots=-1
That is m(l1)×m(l2)=-1
Slope of l1=-3 therefore slope of l2=-1÷-3=⅓
Now that we have determined the slope of l2 we move on to find it's equation using the point-slope form
y-y1=m(x-x1)
y-1=⅓(x-4)
3y-3=x-4
3y=x-4+3
3y=x-1 OR y=⅓x-⅓
Evaluate the step function for the given input values.
-4, -35 x < -1
-1, -1sx<2
g(x) =
3, 25x< 4
5, x 24
9(2) =
g(-2) =
g(5) =
Answer:
I would, but the way this is set up is VERY confusing. sorry. maybe try to fix it after copying and pasting to make sure it makes sense.
The evaluated values of the step function for the given input values are as g(-2) = -4, g(2) = 3, and g(5) = 5.
To evaluate the step function g(x) for the given input values, we need to follow the conditions specified for each interval.
Given the step function:
g(x) =
-4, x < -1
-1, -1 ≤ x < 2
3, 2 ≤ x < 4
5, x ≥ 4
Let's evaluate the step function for each input:
g(-2):
Since -2 is less than -1, the condition for the first interval is satisfied. Therefore, g(-2) = -4.
g(2):
Since 2 is less than or equal to 4, the condition for the second interval is satisfied. Therefore, g(2) = 3.
g(5):
Since 5 is greater than or equal to 4, the condition for the last interval is satisfied. Therefore, g(5) = 5.
Hence, we have:
g(-2) = -4
g(2) = 3
g(5) = 5
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Use inductive reasoning to predict the most probable next number in each list.
6, 9, 15, 24, 36, 51, ?
Answer:
69
Step-by-step explanation:
The numbers increase by 3 more than the previous amount increased by.
6 +3 9 +6 15 +9 24 +12 36 +15 51 +18 69
29 of the first 42 presidents of the United States were lawyers. What percentage of these presidents were lawyers? (Give answer to nearest 1%) Show work
Answer:
62
Step-by-step explanation:
divide 29 by 42 and multiply the answer by 100
Answer: 69.05%
Step-by-step explanation:
21=50%
10.5=25%
amanda had to pay sales tax on a new iphone case she purchased last week. The iphone case was 35.00 and she pid 2.45 in taxes, what percent of the original price did she pay in taxes?
HELP
Answer:
7%
Step-by-step explanation:
[tex]\frac{2.45}{35} = \frac{x}{100}[/tex]
[tex]2.45*100[/tex] and [tex]35x[/tex]
[tex]\frac{245}{35} = \frac{35x}{35}[/tex]
[tex]245/35=7[/tex]
how do I turn this into a radical?
how do we find the value of y when x = 0
Answer:
both variables are just 0-
Someone help me with this pleaseeeeee
Answer:8 an 40 an 2
Step-by-step explanation:
Please help 10 pts!!
Answer: Any positive number less than 16
The diagram shows AD = 16. Applying a dilation with positive scale factor less than 1, will make the figure shrink. Segment AD becomes smaller, so the new AD will be some length less than 16.
For instance, if you use a scale factor 1/2 = 0.5, then AD = 16 turns into A'D' = 16*0.5 = 8
Y’all I need it by today please
Find the equation of the quadratic function y = ax^2+ bx + c which
passes through the points (-1, 9), (2, 3), and (5, 15).
Answer:
y=(x-1.5)^2+2.75
Step-by-step explanation:
Hope I could help!
A rule for creating a pattern is given below. Rule: Multiply X by 3. Then subtract 1 from the result to get y.
Answer:
y=3x-1
Step-by-step explanation:
Create an expression that would represent the area of a triangle.
Answer:
a = 1/2 (15 *5)
Step-by-step explanation:
a = 1/2 (b * h)
1/2 (15 *5)
Answer:
1/2 (15x5)
Step-by-step explanation:
Area = 1/2bh
A cone had a height of 16 inches and a radius of 14 inches . If pi is 3.14 what is the volume ?
Answer:
3284.01, brainliest if correct pls
Step-by-step explanation:
Answer:
3282 cubic inches.
Step-by-step explanation: Just times 14 times 14 since its in radius form then times by 16 then by 3.14 last divide by 3.