Answers
Answer:
1. [tex]27^{\frac{2}{3} } =9[/tex]
2. [tex]\sqrt{36^{3} } =216[/tex]
3. [tex](-243)^{\frac{3}{5} } =-27[/tex]
4. [tex]40^{\frac{2}{3}}=4\sqrt[3]{25} =4325[/tex]
5. Step 4: [tex](\frac{343}{27}) ^{-1} =\frac{27}{343}[/tex]
6. [tex]D. -72cd^{7}[/tex]
Step-by-step explanation:
Use the following properties:
[tex]a^{\frac{x}{y} } =\sqrt[x]{a^{y} }[/tex]
[tex]\sqrt[n]{ab} =\sqrt[n]{a} \sqrt[n]{b}[/tex]
[tex]a^{-n} =\frac{1}{a^{n} }[/tex]
[tex](xy)^{z} =x^{z} y^{z} \\\\[/tex]
[tex](x^{y}) ^{z} =x^{yz}[/tex]
[tex]x^{y} x^{z} =x^{y+z}[/tex]
So:
1. [tex]27^{\frac{2}{3} } =\sqrt[3]{27^{2}} =\sqrt[3]{729} }=9[/tex]
2. [tex]\sqrt{36^{3} } =\sqrt{36*36*36} =\sqrt{36} \sqrt{36} \sqrt{36} =6*6*6=216[/tex]
3. [tex](-243)^{\frac{3}{5} } =\sqrt[5]{-243^{3} } =\sqrt[5]{-14348907} =-27[/tex]
4. [tex]40^{\frac{2}{3}}=\sqrt[3]{40^{2} } =\sqrt[3]{2^{6} 5^{2} } =\sqrt[3]{2^{6} } \sqrt[3]{5^{2} } =2^{\frac{6}{3} } 5^{\frac{2}{3} } =4 *5^{\frac{2}{3} } =4\sqrt[3]{5^{2} } =4\sqrt[3]{25}=4325[/tex]
5. [tex](\frac{343}{27}) ^{-1} =\frac{1}{\frac{343}{27} } =\frac{27}{343}[/tex]
6.
[tex](-8c^{9} d^{-3} )^{\frac{1}{3} } *(6c^{-1}d^{4})^{2} =\sqrt[3]{-8} c^{3} d^{-1} 36c^{-2} d^{8} \\\\-2c^{3} d^{-1} 36c^{-2} d^{8}=-72cd^{7}[/tex]
Related Questions
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Bennett brings 3 gallons of water to his football game. His teammate, Jordan, brings 3 times as many gallons of water as Bennett. If one gallon of water contains 128 fluid ounces, how many ounces of water did Bennett and Jordan bring to their football game?
Answers
Answer:
It could be 768 fl. oz I think?
Step-by-step explanation:
Bennett has 3 gallons of water and Jordan has 3 times as many gallons as bennett
Let's calculate how many gallons do Jordan has
3*3 = 9Jordan has 9 gallons of water
every gallon of water contains 128 fluid ounces
BenettBenett has 3 gallons
so the fluid ounces are given by : 3*128=384
Benett has 384 ounces
JordanJordan has 9 gallons so 9*128 = 1152
so Jordan has 1152 fluid ounces
I need the answer and maybe someone can tell me how to do it? Please and Thanks!! :))
Answers
Answer:
83
Step-by-step explanation:
The 126 angle is an exterior angle of the triangle.
The 43 and x angles are the two remote interior angles of the 126 angle.
Theorem:
The measure of an exterior angle of a triangle equals the sum of the measures of the remote interior angles.
x + 43 = 126
x = 83
Answer:
x = 83
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
126 = x+43
Subtract 43 from each side
126-43 = x+43-43
83 = x
The area of a circle is 49\pi square units. What is the radius of the circle, in units?
Answers
Answer:
7
Step-by-step explanation:
The formula to find the area of a circle is pi*r^2.
We were given 49pi. This means that 49=r^2.
The square root of 49 is 7.
So our radius is 7.
Hope this helps! <3
How much material would you need to fill the following cylinder? Radius 13 in. and Height 9 in.
39π in3
117π in3
1053π in3
1521π in3
Answers
Answer:
Volume of the cylinder is 1521π in³
Step-by-step explanation:
Hello,
To find the volume of a cylinder, we need the know the formula used for calculating it.
Volume of cylinder = πr²h
r = radius
h = height
Data,
Radius = 13in
Height = 9in
Volume of a cylinder = πr²h
Now we need to substitute the values into the formula
Volume of a cylinder = π × 13² × 9
Volume of a cylinder = 169 × 9π
Volume of a cylinder = 1521π in³
Therefore the volume of the cylinder is 1521π in³
Answer:
1521
Step-by-step explanation:
How do you solve -6(4d+5)+7d=-2d
Answers
Answer:
d = -2Step-by-step explanation:
-6(4d + 5) + 7d = -2d -24d - 30 + 7d = - 2d -17d - 30 = -2d+2d+30 +2d+30
-15d = 30÷(-15) ÷(-15)
d = -2my mistake it's actually d= -30/19 sometimes I forget you put them in fractions
Need help ASAP thank you sorry if you can’t see the picture but you can zoom in :) !!!
Answers
Answer:
264 ft³
Step-by-step explanation:
The following data were obtained from the question:
Pi (π) = 3.14
Height (h) = 21 ft
Radius (r) = 2 ft
Volume (V) =..?
The volume of the cylinder can be obtained as follow:
V = πr²h
V = 3.14 × 2² × 21
V = 3.14 × 4 × 21
V = 264 ft³
Therefore, the of the cylinder is 264 ft³
The image shows a geometric representation of the function f(x) = x2 + 2x + 3 written in standard form.What is this function written in vertex form?
Answers
Answer:
[tex]f(x) = (x+1)^2 +2[/tex]
Step-by-step explanation:
Well you complete the square and get,
[tex]x^2 + 2x + 1 ^2 - 1^2 +3[/tex]
Then you use the binomial formula to get,
(x + 1)^2 + 2
Thus,
f(x) = x^2 + 2x + 3 is f(x) = (x + 1)^2 + 2.
Hope this helps :)
What is the range of the function represented by this graph?
Answers
Answer: The range is real numbers less than 1
[1, -∞)
Step-by-step explanation: The range is all the y-values. The top of the parabola (vertex) is at 1 above the x-axis. You have to look at the scale and notice that the scale is in increments of 2, The vertex is between 0 and 2. The parabola extends down to negative infinity.
Answer:
y < 1
(the < has a line underneath it)
Step-by-step explanation:
Find the value of each trigonometric ratio.
Answers
Answer:
12 / 37 (or:=0.324324324...)
Step-by-step explanation:
Sinθ = opposite / hypotenuse
Hence
sinA = 12 / 37
(=0.324324324...)
Answer:
A = 19
Step-by-step explanation:
sin A = opp/hyp
sin A = 12/37
A = sin- ¹ 12/37
A= 18.92 or 19
Given: AB ∥ DC , m CB =62°, m∠DAB=104° Find: m∠DEA, m∠ADB
Answers
Answer:
m∠DEA = 62°
m∠ADB (arc) = 194°
Angle ∠ADB = 21°.
Step-by-step explanation:
The given information are;
[tex]AB\left | \right |DC[/tex], m CB (arc) = 62°, m∠DAB (arc) = 104°
arc∠BCD = 360° - 104° = 256°
m DC (arc) = arc∠BCD - arc CB = 256° - 62° (Sum of angles)
Therefore DC (arc) = 194°
m DA ≅ m CB = 62° (Parallel lines congruent arc theorem. Arc between two parallel lines)
m∠DEA = 1/2×(arc DA + arc CB) = 1/2×(62° + 62°) =62°
m∠DEA = 62°
Arc AB = m∠DAB (arc) - m DA = 104° - 62° = 42°
m∠ADB (arc) = 360 - m∠DAB (arc) - m CB (arc) (Sum of angles around a circle or point)
∴ m∠ADB (arc) = 360 - 104 - 62 = 194°
m∠ADB (arc) = 194°
Angle ADB = subtended by arc AB = ∴1/2×arc AB
Angle ∠ADB = 42/2 = 21°.
Angle = 21°
Amanda rides her bike due east for 10 km. Angela rides her bike 20 degrees south of east 12 km. How far apart are Amanda and Angela? (Round to the nearest tenth).
Answers
Answer:
Distance between Amanda and Angela (c) = 4.30 km (Approx)
Step-by-step explanation:
Given:
Amanda rides (a) = 10 km
Angela rides (b) = 12 km
Angel between them = 20°
Find:
Distance between Amanda and Angela (c)
Computation:
Using law of cosines:
c² = a² + b² - 2abCosФ
c² = 10² + 12² - 2(10)(12)Cos20°
c² = 100 + 144 - 2(10)(12)(0.9397)
c² = 244 - 225.528
c² = 18.472
c = 4.2979
Distance between Amanda and Angela (c) = 4.30 km (Approx)
I SHALL NAME THEE BRAINLIEST! (: Use Associative and Commutative Properties to combine like terms. Simplify the expression. Plz help me. -5X + 8X - 4 -5Y + 3 - 6Y + 2Y + 4 6 + X - 5 + 3X + 8 3B - B + 7 + 4B
Answers
Answer
6B+7X-9Y+19
Step-by-step explanation:
here are some facts about units of length 18 ft=____yd and 3 ft= ___in
Answers
Answer:
18 ft = 6 yds
3 ft = 36 inches
Step-by-step explanation:
We know that 3 ft = 1 yd
Divide 18 ft by 3
18 ft /3 ft = 6 yds
We know that 1 ft = 12 inches
3 ft * 12 inches /ft = 36 inches
Answer:
[tex]\large \boxed{18 feet = 6 yards}[/tex]
[tex]\large \boxed{3 feet = 36 inches}[/tex]
Step-by-step explanation:
1 foot = 1/3 of a yard
Multiply both sides of this equation by 18
[tex]\large \boxed{18 feet = 6 yards}[/tex]
1 foot = 12 inches
Multiply both sides of the equation by 3
[tex]\large \boxed{3 feet = 36 inches}[/tex]
Hope this helps!
There were 56 females and 84 males present at the high school pep rally. Find the ratio of males to the total number of people present. Express as a simplified ratio.
Answers
Answer:
3:5 or 3/5
Step-by-step explanation:
We know that there are -->
56 Females
84 Males
We need to find the total amt. of ppl
56 + 84 = 140
Males/140 --> Plug 84 in => 84/140
Since it wants simplified, divide both by 7 as 7 is a factor of both -->
12/20 --> Divide by 4
3/5 => This is the most simplified we can get and -->
thus, our answer is 3:5 or 3/5
Hope this helps!
can someone please help me?
Answers
Answer:
-1Option C is the correct option.
Step-by-step explanation:
Let the points be A and B
A ( -2 , 7 ) -----> ( x1 , y1 )
B ( 2 , 3 )-------> ( x2 , y2)
Now, let's find the slope:
Slope = [tex] \frac{y2 - y1}{x2 - x1} [/tex]
plug the values
[tex] = \frac{3 - 7}{2 - ( - 2)} [/tex]
Calculate the difference
[tex] = \frac{ - 4}{2 - (2)} [/tex]
When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression
[tex] = \frac{ - 4}{2 + 2} [/tex]
Add the numbers
[tex] = \frac{ - 4}{4} [/tex]
Any expression divided by its opposite equals -1
[tex] = - 1[/tex]
Hope this helps..
Best regards!!
What is the volume in cubic inches of the solid figure, rounded to the nearest cubic inch? Do not use units or commas in your answer.
Answers
Answer:
1131 cubic inches.
Step-by-step explanation:
The front side of the figure contains a rectangle and a semicircle.
Area of rectangle is
[tex]A_1=length\times breadth[/tex]
[tex]A_1=11\times 12[/tex]
[tex]A_1=132\text{ in}^2[/tex]
Radius of semicircle is
[tex]r=17-11=6\text{ in}[/tex]
Area of semicircle is
[tex]A_2=\dfrac{1}{2}\pi r^2[/tex]
[tex]A_2=\dfrac{1}{2}\pi (6)^2[/tex]
[tex]A_2\approx 56.55[/tex]
Area of front side is
[tex]A=A_1+A_2=132+56.55=188.55\text{ in}^2[/tex]
Let front side is the base of prism and height is 6 in. So, volume of given figure is
[tex]V=\text{Base area}\times height[/tex]
[tex]V=188.55\times 6[/tex]
[tex]V=1131.3[/tex]
[tex]V\approx 1131\text{ in}^3[/tex]
Therefore, the required volume is 1131 cubic inches.
A box of God diva chocolate contains 52 identical wrapped chocolates AR troubles 31 have caramel filling the rest of them have walnuts what is the probability of the chocolate chosen at random containing walnuts
Answers
Answer:
21/52Step-by-step explanation:
Given the total God diva chocolate contained in a box to be equal to 52 identical chocolates.
If 31 have caramel filling, the amount of walnut filling will be 52-31 = 21. This means 21 remaining chocolate will contain walnuts.
Probability = expected number of outcomes/total outcome
If we are to find the probability that the chocolate chosen at random contains walnuts, then our expected outcome will be 21 and the total outcome will be total God diva chocolate contained in the box which is 52.
The probability that the chocolate chosen at random contains walnuts = 21/52
greatly appreciate help :) picture below
Answers
Answer:
The answer is None.
Step-by-step explanation:
I took the test on FLVS and I got the answer right.
I hope this helps. I am sorry if you get this wrong.
Answer:
None. Say the obtuse angle is 100 degrees. Since the sum of all angles in a triangle cannot be bigger than 180, it's not possible because 195 (100+95) is greater than 180 degrees.
Step-by-step explanation:
Select steps that could be used to solve the equation 1 + 3x = -x + 4.
A. add x, subtract 1, divide by 4
B. add x, subtract 4, divide by 4
C. subtract 3x, subtract 4, divide by 4
D. subtract 3x, subtract 4, divide by -4
E. subtract 1, add x, divide by 4
Answers
Answer :
A. add x, subtract 1, divide by 4
D. subtract 3x, subtract 4, divide by -4
Step-by-step-explanation : Further explanation
[tex]\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\1+3x-1=-x+4-1\\Simplify\\3x=-x+3\\\mathrm{Add\:}x\mathrm{\:to\:both\:sides}\\3x+x=-x+3+x\\Simplify\\4x=3\\\mathrm{Divide\:both\:sides\:by\:}4\\\frac{4x}{4}=\frac{3}{4}\\x=\frac{3}{4}[/tex]
I hope it helps:)
Find the value of X and Y in the following parallelogram.AD =X+8 D=2y +13 C=16-x CB=5y+4 AB=o
Answers
Answer:
The answer is below
Step-by-step explanation:
AD = X + 8 ∠D = 2y +13 ∠C = 16 - x CB = 5y+4
In a parallelogram, consecutive angles are supplementary and opposite sides are equal.
Therefore for parallelogram ABCD, AB = CD, CB = AD
Since AD = CB (opposite sides of a parallelogram are equal):
x + 8 = 5y + 4
5y - x = 8 - 4
5y - x = 4 (1)
∠C + ∠D= 180° (consecutive angles of a parallelogram are supplementary). Therefore:
16 - x + 2y + 13 = 180
2y - x + 29 = 180
2y - x = 180 -29
2y - x = 151 (2)
To find x and y, subtract equation 1 from equation 2:
3y = -147
y = -49
Put y = -49 in equation 2
2(-49) - x = 151
x = -98 - 151
x = -249
Help please.... what is the solution of sqrt -4x=100? A- x=-2500 B-x=-50 C-x=-2.5 D-no solutions
Answers
Answer:
A. x = -2,500.
Step-by-step explanation:
sqrt(-4x) = 100
(sqrt(-4x)^2 = (100)^2
-4x = 10,000
4x = -10,000
x = -2,500
Check your work...
sqrt(-4(-2,500))
= sqrt(4 * 2,500)
= sqrt(10,000)
= plus or minus 100
A. x = -2,500 is your answer.
Hope this helps!
Answer:
The answer would be A, x=-2500
Explanation:
To remove the radical on the left side of the equation, square both sides of the equation.
√ − 4 x^ 2 = 100^ 2
Simplify each side of the equation.
− 4 x = 10000
Divide each term by
−4
and simplify.
x = -2500
Which of the following is a rational number?
Answers
Answer:
The answer is B
Answer: B
Step-by-step explanation:
In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.
All you need to do is find which of following is a whole number or integer.
A scale drawing of Jimmy's living room is shown below:
If each 2 cm on the scale drawing equals 8 feet, what are the actual dimensions of the room?
Length = 8 feet, width = 6 feet
Length = 12 feet, width = 8 feet
Length = 18 feet, width = 16 feet
Length = 24 feet, width = 16 feet
Answers
Answer:
The answer is
Step-by-step explanation:
If 2cm is 8 feet on the drawing then since 4 is the double of 8,
16 would be the width
8·2=16
For the length, 4 is two less than 6 so, to find the width,
Add 16+2=18
Therefore,
The answer is C.
Length=18 Width=16
Answer:
Length = 24 ft, width = 16 ft
Step-by-step explanation:
The scale is 2 cm (drawing) = 8 ft (real).
The drawing length is 6 cm.
6 cm is 3 times 2 cm
Multiply both sides of the scale by 3.
3 * 2 cm = 3 * 8 ft
6 cm = 24 ft
The real length is 24 ft.
The drawing width is 4 cm.
4 cm is 2 times 2 cm
Multiply both sides of the scale by 2.
2 * 2 cm = 2 * 8 ft
4 cm = 16 ft
The real width is 16 ft.
Answer:
Length = 24 ft, width = 16 ft
Carter bought a bear and paid for a football uniform. The total cost was $38.50. Write and solve an equation to find the cost, x, of buying a bear.
Answers
Answer:
Equation:- [tex]x + y = 38.50[/tex]
Solution of x:- [tex]x = 38.50 - y[/tex]
Step-by-step explanation:
Given
Total Purchase = $38.50
Required
Determine the equation for finding the cost of a bear
From the question; we understand that the cost of 1 bear is represented with x
Solving further; by representing the cost of 1 football uniform with y
So;
[tex]1\ bear + 1\ uniform = 38.50[/tex]
Substitute x for 1 bear and y for 1 uniform to give us an equation
[tex]x + y = 38.50[/tex]
Solving for x (Subtract y from both sides)
[tex]x +y - y = 38.50 - y[/tex]
[tex]x = 38.50 - y[/tex]
The equation can't be solved further
What is the actual distance, in miles, between two cities that are 3 inches apart on the map?
Answers
Answer:
Step-by-step explanation: to answer this question I need to know what 1 inch to a mile is. like every one inch= 12 miles
i don't get division at all i did but i moved a lot of places and i forget things
Answers
Answer:
What is the question
Step-by-step explanation:
Sergei runs a bakery. He needs at least 175 kilograms of flour in total to complete the holiday orders he's received. He only has 34 kilograms of flour, so he needs to buy more. The flour he likes comes in bags that each contain 23 kilograms of flour. He wants to buy the smallest number of bags as possible and get the amount of flour he needs. Let F represent the number of bags of flour that Sergei buys.
Answers
Answer:
Step-by-step explanation:
34+23F=175
23F=175-34=141
F=141/23≈6.13
so he buys more 7 bags
Using proportions, it is found that Sergei needs to buy 7 bags.
-----------
This question is solved by proportions, using a rule of three.He has 34 kilograms of flour.He needs 175 kilograms.Thus, he needs to buy 175 - 34 = 141 kilograms.Each bag contains 23 kilograms. How many bags are needed for 141 kilograms?1 bag - 23 kilograms
x bags - 141 kilograms
Applying cross multiplication:
[tex]23x = 141[/tex]
[tex]x = \frac{141}{23}[/tex]
[tex]x = 6.1[/tex]
Rounding up, he needs to buy 7 bags.
A similar problem is given at https://brainly.com/question/23536327
Given that
7
x
−
2
y
=
35
Find
y
when
x
=
−
9
Answers
Answer:
y = - 49
Step-by-step explanation:
Given
7x - 2y = 35 ← substitute x = - 9 into the equation
7(- 9) - 2y = 35, that is
- 63 - 2y = 35 ( add 63 to both sides )
- 2y = 98 ( divide both sides by - 2 )
y = - 49
Answer:
[tex]\boxed{y = -49}[/tex]
Step-by-step explanation:
=> [tex]7x-2y = 25[/tex]
Given that x = -9
=> [tex]7(-9)-2y = 35[/tex]
=> [tex]-63 -2y = 35[/tex]
Adding 63 to both sides
=> [tex]-2y = 35+63[/tex]
=> [tex]-2y = 98[/tex]
Dividing both sides by -2
=> [tex]y = 98/-2[/tex]
=> [tex]y = -49[/tex]
Finn removes the plug from a trough to drain the water. The volume, in gallons, in the trough after it has been unplugged can be modeled by the expression 12x2 −13x + 3, where x is the time in minutes. Choose the appropriate form of the expression that would reveal the time in minutes when the trough is empty.
Answers
Answer:
Step-by-step explanation:
The expression used to model the volume, in gallons, is 12x^2-13x+3
When the through is empty it means that there is no water in it wich means that the expression used equals 0
● 12x^2-13x+3 = 0
The expression is quadratic equation so to solve it we will use the discriminant method
The discriminant is b^2-4ac
● b= -13
● a= 12
● c= 3
b^2-4ac = (-13)^2+4×12×3 = 25
25 > 0 so the discriminant is positive
We have two solutions
Let x and x' be the solutions
x = (-b-5)/2×a =(13-5)/24 = 8/24 = 1/3
5 is the root square of 25 (the discriminant)
x' = (-b+5)/2a = (13+5)/25 = 18/24 = 3/4
The solutions are 1/3 and 3/4
1/3 = 0.34
3÷4 = 0.75
The through can't be empty from water in two different times
So it will be empty when reaching one of the 2 solutions first
0.34 < 0.75
Then at 0.34 min the through is epty from water
Answer:
[tex]0 = 12x^2 - 13x + 3[/tex]
Step-by-step explanation:
The volume of the trough is modeled by the equation:
[tex]V = 12x^2 - 13x + 3[/tex]
The trough will be empty when the volume of water in it is 0. That is, the expression that would reveal when the trough is empty is:
[tex]0 = 12x^2 - 13x + 3[/tex]
We can further simplify it:
[tex]12x^2 - 9x - 4x + 3 = 0\\\\3x(4x - 3) - 1(4x - 3) = 0\\\\(3x - 1)(4x - 3) = 0[/tex]
4^3/4 x 2^x = 16^2/5
work out the exact value of x
Answers
Answer:
x = 1/10Step-by-step explanation:
[tex] {4}^{ \frac{3}{4} } \times {2}^{x} = {16}^{ \frac{2}{5} } [/tex]
In order to solve the equation express each of the terms in the same base .
in this case we express each of the terms in base 2
That's
[tex] {4}^{ \frac{3}{4} } = {2}^{2 \times \frac{3}{4} } = {2}^{ \frac{3}{2} } [/tex]
And
[tex] {16}^{ \frac{2}{5} } = {2}^{4 \times \frac{2}{5} } = {2}^{ \frac{8}{5} } [/tex]
So we have
[tex] {2}^{ \frac{3}{2} } \times {2}^{x} = {2}^{ \frac{8}{5} } [/tex]
Since the left side are in the same base and are multiplying, we add the exponents
[tex] {2}^{ \frac{3}{2} + x } = {2}^{ \frac{8}{5} } [/tex]
Since they have the same base we can equate them
That's
[tex] \frac{3}{2} + x = \frac{8}{5} [/tex]
[tex]x = \frac{8}{5} - \frac{3}{2} [/tex]
[tex]x = \frac{1}{10} [/tex]
Hope this helps you