Answer:
a= 3 b=6 c= 5
Step-by-step explanation:
For this case we have the following expression:
[tex]3 ^ {\frac {6} {5}}[/tex]
By definition of properties of powers and roots we have:
[tex]\sqrt [c] {a ^ b} = a ^ {\frac {b} {c}}[/tex]
Then according to the given expression we have the following:
[tex]a = 3\\b = 6\\c = 5[/tex]
Answer:
[tex]a = 3\\b = 6\\c = 5[/tex]
What is the range of -5,1,4,6,9,0,-7,-1
Answer:
16
Step-by-step explanation:
Alice is making a necklace. She has a chain that is 400 mm long she puts forty 1.7 'll beads, twenty-seven 6 1/2 'll beads and eight 3.4 'll neads on tje chain. About how much of tje 400 m chain is left without beads
Answer:
I believe the answer is 129.3mm.
Hope this helps!
Length of the chain without beads = 377.58 m
Word problems on addition and subtractionThe total length of the chain = 400 m
Note that:
1 inch = 0.0254 m
Forty 17 inches beads = 40 x 17
Forty 17 inches beads = 680 inches
Forty 17 inches beads = 680 x 0.0254
Forty 17 inches beads = 17.272 m
Twenty-seven 6 1/2 'll beads = 27 x 6.5 x 0.0254
Twenty-seven 6 1/2 'll beads = 4.4577 m
Eight 3.4 inches beads on the chain = 8 x 3.4 x 0.0254
Eight 3.4 inches beads on the chain = 0.69088 m
Total length of the chain with beads = 17.272 m + 4.4577 m + 0.69088 m
Total length of the chain with beads =22.42 m
Length of the chain without beads = 400 m - 22.42 m
Length of the chain without beads = 377.58 m
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Mathematics
1. What is the largest number which can divide 24 and
30 exactly?
Answer:6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
what do N and M equal?
[tex]\bf ((5^{-2})(9^5))^{-6}\implies ((5^{-2\cdot -6})(9^{5\cdot -6}))\implies 5^{\stackrel{\stackrel{n}{\downarrow }}{12}}\times 9^{\stackrel{\stackrel{m}{\downarrow }}{-30}}[/tex]
yasmine uses 1/3 cup of water for 1 serving of a spaghetti sauce. she wants to make 3 3/4 servings of spaghetti sauce. how much water will yasmine need?
The answer is 1 and 3/4
Final answer:
Yasmine needs 1 1/4 cups of water to make 3 3/4 servings of spaghetti sauce.
Explanation:
Yasmine uses 1/3 cup of water for 1 serving of spaghetti sauce. She plans to make 3 3/4 servings of the sauce. To find out the total amount of water she will need, we first convert 3 3/4 servings to an improper fraction which is 15/4 servings. We then multiply this by the amount of water needed for one serving (1/3 cup).
Here's the calculation:
(15/4) servings × (1/3) cup/serving = (15/4) × (1/3) = 15/12 cups
Simplify 15/12 cups to get 5/4 cups or 1 1/4 cups.
Therefore, Yasmine needs 1 1/4 cups of water for 3 3/4 servings of spaghetti sauce.
Problem Solving Strategy
Categories
Drawing a picture
Making a Table
Working Backwards
Looking for a Pattern
Answer:
Drawing a picture = 1 and 2
Making a Table = 5 and 8
Working Backwards = 3 and 4
Looking for a Pattern =6 and 7
Step-by-step explanation:
what is 1 pluse 1 i donk know tghis because i am only 6 yeasrs old oay
Answer:
2
Step-by-step explanation:
Because 1 ball + 1 Ball = 2 Ball
Write the quadratic function f(x) = x2 - 5x + 3 in vertex form.
A) f(x) = (x - 2.5)2 + 3
B) f(x) = (x + 2.5)2 + 3
C) f(x) = (x - 2.5)2 - 3.25
D) f(x) = (x + 2.5)2 - 3.25
Answer:
C. [tex]f(x) = (x-2.5)^{2}-3.25[/tex]
Step-by-step explanation:
The vertex form for a quadratic function is:
[tex]f(x) = a(x-h)^2+k[/tex]
Then, you expand the binomial and get:[tex]f(x) = a(x^2-2hx +h^2) + k[/tex]
Now you distribute and get the first form:[tex]f(x) = ax^2-2ahx +ah^2 + k[/tex]
You know that the general form for a quadratic function is:[tex]f(x) = ax^2+bx+c, Second\ form[/tex]
You compare the two forms that you have and finding h and k:[tex]ax^2+2ahx +ah^2 + k = ax^2+bx+c[/tex]
Finding h from the coefficient of X:[tex]-2ah = b[/tex]
[tex]h = -\frac{b}{2a}[/tex]
from the quadratic function given you know that a = 1 , b = -5 and c = 3, thus:
[tex]h = -\frac{(-5)}{2(1)}=2.5[/tex]
Finding k from the third coefficient:[tex]ah^2+k = c[/tex]
[tex]Isolate\ k =>\ k = c-ah^2[/tex]
You know c,a and h, so replace the values:
[tex]k = 3-(1)(2.5)^2 \\ k = 3-6.25\\ k = -3.25\\[/tex]
• Finally replace the values for a, h and k in the vertex form:
[tex]f(x) = a(x-h)^2+k\\ f(x) = (1)(x-2.5)^2+(-3.25)\\ f(x) = (x-2.5)^2-3.25[/tex]
So answer is C. [tex]f(x) = (x-2.5)^2-3.25[/tex]
If 25% of 150 is equal to 700 percent of n, then what number is n equal to?
Step-by-step explanation:
"Of" means multiplication, and percent means out of 100.
25/100 × 150 = 700/100 × n
75/2 = 7n
n = 75/14
n ≈ 5.357
The number n is equal to [tex]\frac{75}{14}[/tex] .
What is percentage ?Percentage is a ratio of output to total that can be expressed as a fraction of 100.
We have,
According to the question,
25% of 150 = 700 % of n,
Here,
n = number
Now,
Solving,
25% of 150 = 700 % of n
i.e.
[tex]\frac{25}{100} *150=\frac{700}{100} n[/tex]
On solving we get,
[tex]\frac{75}{2} =7n[/tex]
⇒
[tex]n=\frac{75}{14}[/tex]
So, the value of n is [tex]\frac{75}{14}[/tex],
Hence, we can say that the number n is equal to [tex]\frac{75}{14}[/tex] .
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Can u guys help me with questions 4,5,6,7 and 8,9,10, and 11? Thank you if you do reply :) <3
Answer:
4. 120
5. 13
6. 70
7. 115
8. 28
9. I'm not sure for this one
10. 22
11. 45
Step-by-step explanation:
If you need me to explain how I got any of these just ask :)
For questions 18-20 determine if line segment AB and line segment CD are parallel, perpendicular or neither
Answer:
Part 18) Lines AB and CD are perpendicular
Part 19) Lines AB and CD are parallel
Part 20) Lines AB and CD are perpendicular
Step-by-step explanation:
we know that
If two lines are parallel, then their slopes are the same
If two lines are perpendicular, then their slopes are opposite reciprocal each other (the product of their slopes is equal to -1)
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Part 18) we have
[tex]A(-4,3),B(2,-12),C(10,5).D(0,1)[/tex]
step 1
Find the slope AB
substitute the given values in the formula
[tex]m=\frac{-12-3}{2+4}[/tex]
[tex]m=-\frac{15}{6}[/tex]
step 2
Find the slope CD
substitute the given values in the formula
[tex]m=\frac{1-5}{0-10}[/tex]
[tex]m=\frac{4}{10}[/tex]
[tex]m=\frac{2}{5}[/tex]
step 3
Compare the slopes
[tex]-\frac{15}{6} \neq \frac{2}{5}[/tex] ----> the lines are not parallel
[tex]-\frac{15}{6}*\frac{2}{5}=-1[/tex] ----> the lines are perpendicular
Part 19) we have
[tex]A(2,3),B(8,-15),C(-2,2).D(-5,11)[/tex]
step 1
Find the slope AB
substitute the given values in the formula
[tex]m=\frac{-15-3}{8-2}[/tex]
[tex]m=-\frac{18}{6}=-3[/tex]
step 2
Find the slope CD
substitute the given values in the formula
[tex]m=\frac{11-2}{-5+2}[/tex]
[tex]m=-\frac{9}{3}=-3[/tex]
step 3
Compare the slopes
[tex]-3=-3[/tex] ----> the lines are parallel
Part 20) we have
[tex]A(5,6),B(-1,6),C(-2,-7).D(-2,-4)[/tex]
step 1
Find the slope AB
substitute the given values in the formula
[tex]m=\frac{6-6}{-1-5}[/tex]
[tex]m=\frac{0}{-6}=0[/tex] ----> is a horizontal line parallel to the x-axis
step 2
Find the slope CD
substitute the given values in the formula
[tex]m=\frac{-4+7}{-2+2}[/tex]
[tex]m=\frac{3}{0}[/tex] -----> is undefined (is a vertical line, parallel to the y-axis)
step 3
Compare the slopes
The lines are perpendicular (because the x-axis and the y-axis are perpendicular)
The classification of line segments AB and CD as parallel, perpendicular, or neither depends on the slopes of the lines. If the slopes are equal, the segments are parallel; if the slopes are negative reciprocals, the segments are perpendicular. Without specific locations or further details for these segments, a definitive determination can't be made.
Explanation:In order to determine if line segment AB and line segment CD are parallel, perpendicular, or neither, we must consider the slope they form when plotted on a Cartesian plane. If they have the same slope, they are parallel. If the slopes are negative reciprocals of each other, they are perpendicular. If neither of these are the case, then they are neither parallel nor perpendicular.
For example, consider line segment AB located at points A (1, 3) and B (3, 7), and line segment CD located at points C (2, 4) and D (4, 8). The slope of AB (m1) can be calculated as (7-3) / (3-1) = 2 and the slope of CD (m2) as (8-4) / (4-2) = 2. Since m1 = m2, AB is parallel to CD.
While this provides a basic approach, without specific values or further information about AB and CD, a definitive classification cannot be made.
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The answer pls pls pls place
Answer:
A
Step-by-step explanation:
The equation of a parabola is y = ax² + bx + c : a ≠ 0
Given
y = 2 (x + 4)² - 7 ← expand the squared factor
y = 2(x² + 8x + 16) - 7 ← distribute the parenthesis by 2
y = 2x² + 16x + 32 - 7 ← collect constant terms
y = 2x² + 16x + 25 → A
0. The formula for the volume of a cylinder is V=hrh. Which statement is true?
a. The volume depends on the radius and the height of the cylinder.
b. The volume depends only on the radius of the cylinder.
c. The volume depends only on the height of the cylinder.
d. The volume depends on pi, the radius of the cylinder, and the height of the cylinder.
Answer:
d
Step-by-step explanation:
To find the volume of a cylinder you first find the area of the circle faces.
pi * r^2
Next you multiply that area by the height
The three pieces you used were pi, the radius, and the height
Answer: The best answer—and correct answer—is:
_________________________________________
→ Answer choice: [D]:
_________________________________________
" The volume depends on pi, the radius of the cylinder, and the height of the cylinder. "
_________________________________________
{Note: Technically—and by extension—Answer choice: [A]:
_________________________________________
" The volume depends on the radius and the height of the cylinder ." ;
_________________________________________
→ is also a "true— and correct— statement" ; since the volume "does" depend on the radius and the height of the cylinder [but not solely on these 2 (two) elements] — since
"pi" [ "π" ] must be included as well.}.
_________________________________________
Step-by-step explanation:
_________________________________________
{Note: The statement at the beginning of this question should be written correctly— to read as follows:
_________________________________________
" The formula for the volume of a cylinder is V = π * r² * h. Which statement is true? "}.
_________________________________________
{Note:
in which: "V = Volume" ; " π = pi "; "r = radius" ; "h = height " .} .
_________________________________________
Note that the Volume, "V" ; depends on all of the following three (3) elements:
_________________________________________
1. "pi" [ "π" ] ; and:
2. the radius, "r" ; and:
3. the height, "h" . _________________________________________
Hope that this answer—and explanation—is helpful to you.
Wishing you well in your academic endeavors
— and within the "Brainly" community!
_________________________________________
Line AB is perpendicular to Line CD. How many 90° angles are formed by the intersection?
Answer:
2, but it can be 4 if the perpendicular line goes through the other line.
Step-by-step explanation:
what is the solution to x+4y=10 3x+12y=20 brainly
Answer:
The system has no solution.
Step-by-step explanation:
We have two equations:
1st: x+4y=10
2nd: 3x+12y=20
Write the two equations in slope-intercept form:
First equation:
4y=-x+10
[tex]y=-\frac{1}{4}x+\frac{5}{2}[/tex]
Second equation:
3x+12y=20
12y=-3x+20
Divide through by 12
[tex]y=-\frac{1}{4}x+\frac{5}{3}[/tex]
The two equations have the same slope but different y-intercepts.
The two equations are parallel and will never meet.
Therefore the system has no solution.
If the determinant of this matrix is -19, what is the value of a?
A.
3
B.
4
C.
5
D.
6
Answer:
C)5
Step-by-step explanation:
For a 3x3 matrix [tex]\left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right][/tex]
determinent is given by = = a(ei − fh) − b(di − fg) + c(dh − eg)
Given Matrix
[tex]\left[\begin{array}{ccc}-6&7&1\\a&-3&4\\-6&4&-3\end{array}\right][/tex]
determinent of matrix= -6((-3)(-3) − (4)(4)) − 7(a(-3) − (4)(-6)) + 1(a(4) − (-3)(-6))
-19= -6(9-16) - 7(-3a+24) +4a-18
125= 25a
125/25= 25a/25
a= 5 !
Answer:
a = 5
Step-by-step explanation:
We are given 3 x 3 matrix and the determinant of the matrix is -19.
We need find the value of "a" in the given matrix.
[tex]\left[\begin{array}{ccc}-6&7&1\\a&-3&4\\-6&4&-3\end{array}\right][/tex]
determinant (D) = -6[(-3)(-3) − (4)(4)] − 7[a(-3) − (4)(-6)] + 1[a(4) − (-3)(-6)]
-19 = -6[9 - 16] -7[-3a +24] +1[4a - 18]
-19 = -6[-7] +21a - 168 + 4a - 18
-19 = 42 + 21a -168 + 4a - 18
Simplify the like terms, we get
-19 = 25a - 144
25a = -144 + 19
25a = 125
Dividing both sides by 25, we get
a = [tex]\frac{125}{25}[/tex]
a = 5
So the value of a is 5.
What is the value of x
ANSWER
x=27
EXPLANATION
The two triangles are similar so the corresponding sides are equal.
[tex] \frac{x}{x +1 8} = \frac{39}{39 + 26} [/tex]
[tex]\frac{x}{x +1 8} = \frac{39}{65} [/tex]
Cross multiply to get;
[tex]65x = 39(x + 18)[/tex]
Expand:
65x=39x+702
Group similar terms:
65x-39x=702
Simplify
26x=102
Divide both sides by 26,
x=702/26
x=27
the solution to the inequality 3(2x-1)>4x-2 can be written as x>n what is the value of n
Answer:
[tex]\large\boxed{x>\dfrac{1}{2}}[/tex]
Step-by-step explanation:
[tex]3(2x-1)>4x-2\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(3)(2x)+(3)(-1)>4x-2\\\\6x-3>4x-2\qquad\text{subtract 4x from both sides}\\\\2x-3>-2\qquad\text{add 3 to both sides}\\\\2x>1\qquad\text{divide both sides by 2}\\\\x>\dfrac{1}{2}[/tex]
In how many different ways can a committee of 5 people be chosen from a group of 18?
Answer:
8568
Step-by-step explanation:
You have to choose 5 out of 18, and the order does not matter. So you're looking for the number of combinations, not permutations.
So you have to find 18C5.
nCr = n!/(n-r)!r!
so 18C5 = 18!/13!5!
= (18 * 17 * 16 * 15 * 14 * 13!)/ 13!5!
= 18*17*16*15*14/5*4*3*2*1
= 8568
Hope it helps :)
The total number of ways to select a committee of 5 people from a group of 18 is 8568.
Explanation:The question is asking for the total number of ways to select 5 people from 18. This is a commonly encountered problem in combinatorics, a mathematic field that deals with countable structures. To solve this, we use the combination formula, usually denoted as nCr where n is total items and r is number of items to choose. In this case, we use the combination formula C(18,5) where 18 is the total number of people and 5 is the committee size.
The formula for combination (nCr) is:
n! / (r!(n - r)!)
where '!' signifies a factorial which is the product of an integer and all the integers below it.
Inserting the numbers into the formula gives us:
18! / (5!(18 - 5)!) = 8568
So, there are 8568 different ways to choose a committee of 5 people from a group of 18.
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A building contractor has a piece of crown molding that is 48 ½ inches long. He cuts off one piece measuring 10 ¼ inches and another piece 2 feet ⅛ inch.How much crown molding does he have left?
Answer:
14 1/8 inches of molding
Step-by-step explanation:
In order to find the solution, we'll have to do 2 fractions subtractions.
To be able to subtract fractions, we have to make sure they are placed in the same denominator. So, the first thing we'll do is to convert all the numbers in 8th, because that's the greatest denominator.
[tex]48 \frac{1}{2} = 48 \frac{4}{8} = \frac{(48 * 8) + 4}{8} = \frac{388}{8}[/tex]
[tex]10 \frac{1}{4} = 10 \frac{2}{8} = \frac{(10 * 8) + 2}{8} = \frac{82}{8}[/tex]
For the last one, we'll first convert the 2 feet into 24 inches.
[tex]24 \frac{1}{8} = \frac{(24 * 8) + 1}{8} = \frac{193}{8}[/tex]
Now, we'll subtract each of the two pieces cut from the original molding's length, first the 10 1/4 inches piece
[tex]\frac{388}{8} - \frac{82}{8} = \frac{388 - 82}{8} = \frac{306}{8}[/tex]
then the 2 feet 1/8 piece
[tex]\frac{306}{8} - \frac{193}{8} = \frac{306 - 193}{8} = \frac{113}{8} = 14 \frac{1}{8}[/tex]
So, the contractor is left with 14 1/8 inches of molding.
Sara Blake's grandmother gave her $3000.00 to save for college. She put it in a savings account that earns 6% interest per year. The money was in the account for 8 years. How much simple interest did she earn?
• P is the principal amount, $3000.00.
• r is the interest rate, 6% per year, or in decimal form, 6/100=0.06.
• t is the time involved, 8 years time periods.
• So, t is 8 year time periods.
To find the simple interest, we multiply 3000 × 0.06 × 8 to get that:
The interest is: $1440.00
1) A 6 mile walking trail has a distance marker every 1/3 mile. How
many markers are along the trail?
Answer:
its 18
Step-by-step explanation:
b/c 6 times 3 is 18
It’s 2 because 6 divided by 3 is 2
plz help thank you very much!
Answer:
(1, - 4 )
Step-by-step explanation:
To find the y- coordinate, substitute x = 1 into the equation
y = (3 × 1) - 7 = 3 - 7 = - 4
The missing value is -4.
Since you already know that x = 1, substitute that into the equation and simplify. y = 3(1) - 7
Anything times 1 equals itself. y = 3 - 7
Subtract. y = -4
Given that PO is a midsegment of △LMN, to which segment is MO congruent?
MP
OL
PN
PO
Answer:
OL
Step-by-step explanation:
Got it right
Answer: B , OL on edg
Step-by-step explanation:
Marco buys a certain brand of shampoo for a supplier$7.25 per bottle he sell it to his customers at a market up of 25% What would market update
The markup would be $1.81 I hope this helps! : )
A leaky faucet had already dripped 3 cups of water before it was discovered to be leaky. It leaked at a rate of 3/4 cup per hour. How long did it leak before it was discovered?
3/1 divided by 3/4 = 3/1 times 4/3. Multiply across to get 12/3 which = 4. It dripped for 4 hours.
Need Help. Please Please
ANSWER
A.
[tex]P(x)=6x^2 +75x +200[/tex]
EXPLANATION
The given revenue function is:
[tex]R(x)=6x^2 +100x+300[/tex]
The cost function is
[tex]C(x)=25x+100[/tex]
The profit function can be obtained by subtracting the cost function from the revenue function.
[tex]P(x)=R(x)-C(x)[/tex]
This implies that:
[tex]P(x)=6x^2 +100x+300 - (25x + 100)[/tex]
Expand the parenthesis to get:
[tex]P(x)=6x^2 +100x+300 - 25x - 100[/tex]
Group similar terms:
[tex]P(x)=6x^2 +100x - 25x - 100+300[/tex]
Combine the similar terms to get:
[tex]P(x)=6x^2 +75x +200[/tex]
The cot answer is A
1,003,498 word form
Please my
one million - three thousand - four hundred - ninety eight
student tickets for the football game cost $12 each and adult ticket cost $20 $1,720 was collected for the 120 ticket sold at last game which system of equations can be used to solve for the number of each kind of ticket sold
Answer:
85 student tickets and 35 adult tickets were sold.
Step-by-step explanation:
Howdy!
We know that student tickets cost $12, adult ticket cost $20 and 120 tickets were sold.
So:
$12×A + $20×B = $1,720. Where A and B are the number of student tickets and adult tickets sold, respectively.
Given that 120 tickets were sold in total, we have that:
A + B = 120
So the system of equations to be solved is the following:
$12×A + $20×B = $1,720 (1)
A + B = 120 (2)
Solving for 'A' in equation (2) we get:
A = 120 - B
Substituting this value into equation (1) we get:
$12×(120 - B) + $20×B = $1,720
Solving for 'B' we have:
$12×(120 - B) + $20×B = $1,720
$1,440 - $12×B + $20×B = $1,720
$1,440 + $8×B = $1,720
$8×B = $1,720 - $1,440
$8×B = $280
B = 35 tickets.
Given that B = 35, then A = 120 - 35 = 85 tickets.
So 85 student tickets and 35 adult tickets were sold.
Answer:
Students=85
Adults=35
Step-by-step explanation:
-12s-20a=-1720
20k+20a=2400
8k=680
k=85
85+a=120
a=35
What does 6÷3/4 equal
Answer:
8
Step-by-step explanation:
When you divide by a fraction, you can also say that you are multiplying by the reciprocal.
So [tex]6/\frac{3}{4}=6*\frac{4}{3}[/tex]
[tex]6=\frac{6}{1}[/tex]
[tex]\frac{6}{1}*\frac{4}{3}=\frac{24}{3}=8[/tex]