Answer:
[tex] (5 {ab}^{2} ) {}^{2} \\ = ( {5}^{2} )( {a}^{2} )( {b}^{2} ) {}^{2} \\ { \boxed{= 25 {a}^{2} {b}^{4} }}[/tex]
From the equation, find the axis of symmetry of the parabola.
y = negative 4 x squared + 24 x minus 35
The value of b for which the quadratic equation x² - bx + 16 = 0 have exactly two different integer solutions is b > 8
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A quadratic equation is in the form:
y = ax² + bx + c
Where a, b and c are constants.
Given the equation:
y = -4x² + 24x - 35
From the graph of y = -4x² + 24x - 35, the axis of symmetry of the parabola is at x = 3
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18. If geeta saves 40% of his monthly income and she spends Rs. 15000 every month, find her monthly income
Answer:
Her monthly income is Rs. 21000
Step-by-step explanation:
15000 x ( 1 + 40 % )
= 15000 x 140 %
= 21000
A total of 574 tickets were sold for the school play. They were either adult tickets or student tickets. There were 74 more student tickets sold than adult tickets. How many adult tickets were sold?
Answer:
411 #
Step-by-step explanation:
solution :
Let x = the number of adult tickets sold
Let x + 61 = the number of student tickets sold
x + x + 61 = 761
2x = 700
x = 350
x + 61 = 411
mark me brain list
If n( μ ) = 100, n(A) = 50, n(B) = 20 and n( ) A B ∩ =10, then ( ) c nAB ⎡ ⎤
Step-by-step explanation:
Correct option is
A
50
n(AΔB)=n(A∪B)−n(A∩B) [As n(A∪B)=n(A)+n(B)−n(A∩B)]
=n(A)+n(B)−2n(A∩B)
=50+20−2(10)=50
2x + 3y = 6
The equation x + 2y = 16 is in standard form.
What is the slope of the line?
3y = -2x + 6
X-2
6
3
-1
y y=-3x +
y= - +
O
-0.5
+2
O
0.5
9514 1404 393
Answer:
(c) -0.5
Step-by-step explanation:
Starting from standard form ...
ax +by = c
and solving for y, we get the slope-intercept form ...
y = (-a/b)x +c/b
The coefficient of x is the slope: -a/b.
For your equation x+2y=16, the slope is -1/2 = -0.5.
What is the value of x?
What is the following difference?
230 192ab -5 V81365
help me do this plz brainiest to whoever right
Answer:
3.16 miles
Step-by-step explanation:
Hi there!
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] where two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
We're given that the campsite is located at (1,7) and the checkpoint station is located at (4,6). We must calculate the distance between them. Plug these points into the formula:
[tex]d=\sqrt{(x_2-1)^2+(y_2-7)^2}\\d=\sqrt{(4-1)^2+(6-7)^2}\\d=\sqrt{(3)^2+(-1)^2}\\d=\sqrt{9+1}\\d=\sqrt{10}\\d\approx3.16[/tex]
Therefore, the distance between the campsite and the checkpoint is 3.16 miles when rounded to the nearest hundredth.
I hope this helps!
Which of the two numbers -0.514 and -0.5148 is larger?
The larger number is
Answer:
larger number is -0.514
Step-by-step explanation:
-0.514 is greater than -0.5148 by 0.0008
Evaluate:
[tex] \int \limits^{2}_{1} { \sin }^{3} x. \cos(2x) dx[/tex]
hello, anyone can help me if you don't mind, I am getting confused.
Thanks, I really appreciate
Recall some identities:
sin²(x) + cos²(x) = 1
cos(2x) = cos²(x) - sin²(x)
and from the first identity, you can establish that
cos(2x) = 2 cos²(x) - 1
So, rewrite the integrand as much as possible in terms of cos(x) :
[tex]\sin^3(x) \cos(2x) = \sin(x) \sin^2(x) (\cos^2(x)-\sin^2(x)) \\\\ \sin^3(x) \cos(2x) = \sin(x) (1-\cos^2(x)) (2\cos^2(x) - 1)[/tex]
Then in the integral, substitute u = cos(x) and du = -sin(x) dx. With some rewriting, you end up with
[tex]\displaystyle \int_1^2 \sin^3(x) \cos(2x) \,\mathrm dx = -\int_{x=1}^{x=2} (1-\cos^2(x))(2\cos^2(x)-1) (-\sin(x)\,\mathrm dx) \\\\ = -\int_{u=\cos(1)}^{u=\cos(2)} (1-u^2)(2u^2-1)\,\mathrm du \\\\ = \int_{\cos(1)}^{\cos(2)} (1-3u^2+2u^4) \,\mathrm du \\\\ = \left(u-u^3+\frac25u^5\right)\bigg|_{\cos(1)}^{\cos(2)} \\\\ = \left(\cos(2)-\cos^3(2)+\frac25\cos^5(2)\right) - \left(\cos(1)-\cos^3(1)+\frac25\cos^5(1)\right) \\\\ = \boxed{\cos(2) - \cos^3(2) + \frac 25 \cos^5(2) - \cos(1) + \cos^3(1) - \frac25 \cos^5(1)}[/tex]
The subtotal amounts of a telephone bill are as follows. Find the grand amount if the service charge is 10% and VAT is 13%. (a) Rs 5000 (b) Rs 6000 (c) Rs 3000
Answer:
............................. ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,____________Step-by-step explanation:
I don't know
Write 27 as a power and as repeated multiplication
Answer:
3*3*3
3^3
Step-by-step explanation:
27 = 9*3
= 3*3*3
= 3^3
What is the volume of this cylinder shown below?
Answer: 138.16 cubic feet (choice H)
This volume is approximate and occurs when you use pi = 3.14
==========================================================
Work Shown:
r = 2 ft = radius
h = 11 ft = height
V = volume of cylinder
V = pi*r^2*h
V = pi*2^2*11
V = pi*4*11
V = pi*44
V = 44pi .... exact volume in terms of pi
V = 44*3.14
V = 138.16 .... approximate volume and the final answer
Answer:”H”
Step-by-step explanation: just trust the process
(08.01, 08.02, 08.03 HC)
Create a factorable polynomial with a GCF of 2. Rewrite that polynomial in two other equivalent forms. Explain how each form was created. (10 points)
Answer:
See the image for solution
Hope it helps
Have a great day
Oliver bought 8 bags of marbles.There we're 7 green and 7 blue in each bag.How many marbles did he buy in total? use the doubles strategy to show your work.
Answer:
112
Step-by-step explanation:
1 bag- Has 14 marbles in all
So if you multiply 14 times 8 total bags you get 112.
The sixth grade teachers bought food for a reward party. They purchased 64 bags of chips and 80 bottles of water . What is the largest number of students that can be invited to the party so they each get the same amount of chips and water?
Answer:
64
Step-by-step explanation:
Since each student must get the same amount of chips and water, the ratio of the number of chips to water received by each student is 1:1.
Hence, a maximum of 64 students can be invited to the party, as the bags of chips is lower than that of the number of bottles of water, and we take it as a 64.
solve the equation 6 = 5 x -2
Answer:
8/5 = x
Step-by-step explanation:
6 = 5x - 2
~Add 2 to both sides
8 = 5x
~Divide 5 to both sides
8/5 = x
Best of Luck!
divide 8 1/2 by the positive difference 4 4/5 and 7 7/10
[tex]\\ \sf\longmapsto 8\dfrac{1}{2}\div \left(4\dfrac{4}{5}-7\dfrac{7}{10}\right)[/tex]
[tex]\\ \sf\longmapsto \dfrac{17}{2}\div \left(\dfrac{24}{5}-\dfrac{77}{10}\right)[/tex]
[tex]\\ \sf\longmapsto \dfrac{17}{2}\div\left(\dfrac{48-77}{10}\right)[/tex]
[tex]\\ \sf\longmapsto \dfrac{17}{2}\div \left(\dfrac{29}{10}\right)[/tex]
[tex]\\ \sf\longmapsto \dfrac{17}{2}\times \dfrac{10}{29}[/tex]
[tex]\\ \sf\longmapsto \dfrac{17(10)}{2(29)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{170}{58}[/tex]
[tex]\\ \sf\longmapsto \dfrac{85}{29}[/tex]
[tex]\\ \sf\longmapsto 2\dfrac{27}{29}[/tex]
Answer:
2 27/29Step-by-step explanation:
The positive difference is the result of subtraction of the smaller number from the greater number.
The positive difference of 4 4/5 and 7 7/10 is:
7 7/10 - 4 4/5 = 77/10 - 48/10 = 29/10Now division:
8 1/2 : 29/10 = 17/2 * 10/29 = 85/29 = 2 27/29y + (2/25) = 11/15
What’s y
Answer:
[tex]\frac{49}{75}[/tex]
Step-by-step explanation:
y= [tex]\frac{11}{15}[/tex]-[tex]\frac{2}{25}[/tex]
y= [tex]\frac{49}{75}[/tex]
Answer:
49/75
Step-by-step explanation:
y + 2/25 = 11/15
now, we could do it like the other answer and do fraction arithmetic, or we try and multiply everything out to eliminate the fractions :
15y + 30/25 = 11
375y + 30 = 275
375y = 245
y = 245/375 = 49/75
the same result, of course, but a slightly different way to get there.
When the length of a side of a square is increased by 5, the perimeter of the new square is 60. What equation can be used to find the length of the side of the original square?
Answer:
The answer will be 4(x+5)=60
Alguien me ayuda con esto?
Answer:
x=10
Step-by-step explanation:
10 a 8 son dos, entonces 14 ax es 4
Answer:
La explicación sería:
//////////////////////////
=> 9 * 2 + 4/2 = 20
=> 18 +2 =20
=> 20 =20
//////////////////////////
=> 5*2 + 8/2 = 14
=> 10 +4 =14
=> 14 =14
//////////////////////////
=> 3*2 + 10/2 = x
=> 6 + 5 = x
=> 11 = x
What's (6+5i)(6-5i) using the foil method
Answer:
Step-by-step explanation:
[tex]Remember:\\(a+b)(a-b)=a^2-b^2\\\\(6+5i)(6-5i)=6^2-(5i)^2=36-(-1)*25=36+25=61\\[/tex]
The winning team's score in 5 high school basketball games was recorded. If the sample mean is 62.3 points and the sample standard deviation is 11.0 points, find the
98% confidence interval of the true mean.
A) 57.4 < µ < 67.2 B) 50.8 < µ < 73.8
C) 25.4 < µ < 99.2 D) 43.9 < µ < 80.7
Answer:
This is 3.747*11/sqrt(5)=18.4
the interval is (49.9,86.7), the SE added to and subtracted from the mean.
It is B
Thank You
Solve the equation. Check your solution.
Answer:
x = 5
Step-by-step explanation:
x^2/(x + 5) = 25/(x+5) Subtract the right side from both sides.
x^2/(x + 5) - 25/(x + 5) = 0
x^2 - 25
======= = 0
x + 5
(x + 5)(x - 5)
============= = 0
(x + 5)
Cancel x + 5 in the numerator and denominator.
x - 5 = 0
x = + 5
Does it check?
x^2/(x + 5) = 25/(x + 5)
x = 5
5^2/(10) = 25/10
25/10 = 25/10 Yes it checks.
HELP PLEASE I WOULD REALLY APPRECIATE IT - Ken can run m miles
at a pace of 6.30
minutes per mile. He
ran slower for 10
minutes to warm up.
Write an equation
that represents the
total time, t, Ken
spent running.
Answer:
keep can run millions at 30 friends all for 10 minutes for what purpose for running running of the steelers versus the dynasties of running of the
35
10
10
15
10
30
15
10
60
Explain why the student's statement about the area is incorrect.
Answer:
Statement is?
Step-by-step explanation:
As soon as you finish the question!
Volumeofasphere = ar A Walmart employee has decided that they would like to completely fill the
ball bin in the toy section with one type of ball.
The ball he decided to use had a radius of 16 cm. The ball bin is 210 centimeters tall and the opening at the
top is 150 centimeters by 150 centimeters. How many balls should fit inside the bin?
Number of balls should fit inside the bin are 216 balls.
Given:
Radius of spherical ball = 16 cm
Height of cylinder = 210 cm
Diameter of opening = 150 cm
Find:
Number of balls should fit inside the bin
Computation:
Volume of sphere = [tex][\frac{4}{3}] [\pi ][r^3][/tex]
Volume of sphere ball = [tex][\frac{4}{3}] [\pi ][16^3][/tex]
Volume of sphere ball = 17164.19 cm³
Radius of cylinder = Diameter of opening / 2
Radius of cylinder = 150 / 2
Radius of cylinder = 75 cm
Volume of cylinder = [tex][\pi ][r^2][h][/tex]
Volume of cylinder = [tex][\pi ][75^2][210][/tex]
Volume of cylinder = 3,712,500 cm³
Number of balls should fit inside the bin = Volume of cylinder / Volume of sphere ball
Number of balls should fit inside the bin = 3,712,500 / 17,164.19
Number of balls should fit inside the bin = 216.293
Number of balls should fit inside the bin = 216 balls (Approx.)
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what is the equation of a line parallel to y = -1/2x + 6 that passes through (-4, 1)
Answer:
y = -1/2x - 1
Step-by-step explanation:
A line that is parallel to another will have the same slope. All we need to do is find the new y-intercept. We can do that by using the slope intercept form equation [ y = mx + b ].
1 = -1/2(-4) + b
1 = 2 + b
-1 = b
Now we can input the information we know and solved for back into the formula.
y = -1/2x - 1
Best of Luck!
evaluate the expression when x=3
Answer:
3. 15
6. 4
Step-by-step explanation:
Put 3 instead of x
3. 5x
= 5 × 3
= 15
6. 12 ÷ x
= 12 ÷ 3
= 4
Answer:
When X is 3 it will be
5(3)=15
Then for the second one it will be 12/3
The answer is 4
Hope I helped
A cube has a volume of 125 cubic inches. What is the length of each edge?
Enter your answer in the box.
(Needs to be in inches)
The formula for the volume of a cube is V = a^3.
We know the volume is 125 cubic inches.
125 = a^3
Take the third square root
5 = a
The length of each edge is 5 inches
Answer:
So the length of the edge of a cube with a volume of 125 is 5 inches
Step-by-step explanation:
All the edges of a cube have the same length, and the volume of a cube is the length of an edge taken to the third power.
So if we take the edge of the cube to be of length x, then:
Volume=x3
125=x3
5=x