Answers
Answer:
The answer is (b) ⇒[tex]\frac{d^{5} }{2\sqrt{c} }[/tex]
Step-by-step explanation:
∵ [tex]\frac{\sqrt{c^{2}d^{6}}}{\sqrt{4c^{3}d^{-4}}}[/tex]
∵ √x² = x ⇒ that means to cancel the square root divide
the power by 2
∴ [tex]\sqrt{c^{2}d^{6}}=cd^{3}[/tex]
∵ √4 = 2 ⇒ √2×2 = √2² = 2
∵ √c³ = [tex]c^{\frac{3}{2}}[/tex]
∴ [tex]\sqrt{4c^{3}d^{-4}}=2c^{\frac{3}{2}}d^{-2}[/tex]
∴ [tex]\frac{cd^{3}}{2c^{\frac{3}{2}}d^{-2}}[/tex]
∵ In the same base with multiplication we add the power,
in same base with division we subtract the power
∴ [tex]\frac{1}{2}c^{1-\frac{3}{2}}d^{3-(-2)}=\frac{1}{2}c^{\frac{-1}{2}}d^{5}=[/tex]
[tex]\frac{d^{5}}{2c^{\frac{1}{2}}}=\frac{d^{5}}{2\sqrt{c}}[/tex] ⇒ [tex]c^{\frac{1}{2}}=\sqrt{c}[/tex]
∴ The answer is (b) ⇒ [tex]\frac{d^{5}}{2\sqrt{c}}[/tex]
Answer:
b. [tex]\frac{d^{5}}{2\sqrt{c} }[/tex]
Step-by-step explanation:
The given expression is
[tex]\frac{\sqrt{c^2d^6} }{\sqrt{4c^3d^{-4}} }[/tex]
We simplify the radicand using the property; [tex]\frac{a^m}{a^n} =a^{m-n}[/tex]
[tex]\frac{\sqrt{d^{6--4}} }{\sqrt{4c^{3-2}} }[/tex]
[tex]\frac{\sqrt{d^{10}} }{\sqrt{4c^{1}} }[/tex]
[tex]\frac{d^{5}}{2\sqrt{c} }[/tex]
Related Questions
What is the volume of this rectangular prism
Answers
Answer:
V = 5/8 cm^3
Step-by-step explanation:
V= l*w*h
V = 3/4 * 1/3 * 5/2
The numerator = 3*1*5 = 15
The denominator = 4*3*2 = 24
V = 15/24 cm^3
We can simplify the fraction by divide the top and bottom by 3
V = 5/8 cm^3
What is the volume of the square pyramid with base edges 16m and height 24m?
Answers
Answer:
192
Step-by-step explanation:
1/2 of 24 times 16=192
Choose the third degree polynomial. 2x-5 3x2+2x-5 x3-3x2+2x-5 5x4+x3-3x2+2x-5
Answers
ANSWER
[tex] {x}^{3} - 3 {x}^{2} + 2x - 5[/tex]
is the third degree polynomial.
EXPLANATION
The third degree polynomial has the highest degree to be 3.
All the polynomials were written in standard form.
[tex]2x - 5[/tex]
is a first degree polynomial.
[tex]3 {x}^{2} + 2x - 5[/tex]
is a second degree polynomial .
[tex] {x}^{3} - 3 {x}^{2} + 2x - 5[/tex]
is a third degree polynomial.
[tex]5 {x}^{4} + {x}^{3} - 3 {x}^{2} + 2x - 5[/tex]
is a fourth degree polynomial.
Answer:
[tex]x^3-3x^2+2x-5[/tex]
Step-by-step explanation:
Since, the degree of a polynomial is the highest power of its monomial with non zero coefficient,
In the polynomial 2x - 5,
The highest power is 1,
So, its degree is 1,
In the polynomial [tex]3x^2+2x-5[/tex],
The highest power is 2,
So, its degree is 2,
In the polynomial [tex]x^3-3x^2+2x-5[/tex],
The highest power is 3,
So, its degree is 3,
In the polynomial [tex]5x^4+x^3-3x^2+2x-5[/tex]
The highest power is 4,
So, its degree is 4.
A computer cost £900. It is on sale for 25% off. You also need to pay 6% sales tax. What is the final price of the computer?
Answers
First we have to find 25% of 900 pounds (i hope that's the right currency). so 900 x .25 = 225
so we subtract 225 from 900 and get 675 pounds.
to find sales tax we have to find 6% of 675, so 675 x .06 = 40.50
675 + 40.50 = 715.5 pounds
Solve 2,401 = 76 – 2x.
Answers
Subtract 2,401 from both sides.
0 = 76 - 2401 - 2x
0 = -2325 - 2x
Add 2x on both sides.
2x = -2325
Divide both sides by 2.
x = -2325 / 2
x = -1162.5
There is the answer.
Please consider marking this answer as Brainliest to help me advance.
Answer:
its 1.
Step-by-step explanation:
PLEASE HELP MEH I REALLY NEED HELP
Answers
Answer:
find A PATTERN
Step-by-step explanation:
FIND A PATTERN IN THE NUMBERS
Answer:
The answer is 53
Step-by-step explanation:
Simplify the expression 4(2x - 3y) ASAP
Answers
Answer:
8x - 12y
Step-by-step explanation:
4(2x-3y)
Distribute/multiply the 4 to everything in the parentheses
4 * 2x = 8x 4 * -3y = -12y
8x - 12y
Answer:
[tex]4(2x-3y)=8x-12y[/tex]
Step-by-step explanation:
The given expression is
[tex]4(2x-3y)[/tex]
We expand using the distributive property to obtain;
[tex]4(2x-3y)=4\times2x-4\times3y[/tex]
This implies that;
[tex]4(2x-3y)=8x-12y[/tex]
which of the statements is true?
A) the sum of two irrational numbers is always irrational.
b) the product if two irrational numbers is sometimes rational.
c) the profuct of a rational number and an irrational number is sometimes rational.
d) the sum of two rational numbers is sometimes irrational
Answers
Answer: the answer is B beacuase The sum of two irrational numbers, in some cases, will be irrational. However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational. "The product of two irrational numbers is SOMETIMES irrational."
The sum of two irrational numbers is always irrational is true. Option A is correct.
Given that,
To determine the statements that is true from the given statements.
In mathematics, a rational number is a number that can be described as the result of a fraction of value or does not have face value.
What are irrational numbers?An irrational number is a type of real number which cannot be represented as a simple fraction or the values that have face value are irrational numbers. Example: √2, √3, and π are all irrational.
Here,
A) the sum of two irrational numbers is always irrational.
True,
b) the product if two irrational numbers is sometimes rational.
False
c) the product of a rational number and an irrational number is sometimes rational.
False
d) the sum of two rational numbers is sometimes irrational.
False
Thus, the only option that is true is the sum of two irrational numbers is always irrational. Option A is correct.
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Match the following.
1 .
multiplicative identity
the number 0; when added to any number, the value of the number does not change
2 .
multiplicative inverse
the opposite or negative of a number; the sum of a number and its additive inverse is 0
3 .
commutative property
a property of the real numbers which states that how numbers are grouped in a sum or product does not change the value
4 .
additive identity
a property of the real numbers which states that the order in which numbers are added or multiplied does not change the value
5 .
additive inverse
a(b + c) = ab + ac, or a(b - c) = ab - ac
6 .
associative property
the number 1; when multiplied by any number, the value of the number does not change
7 .
distributive property
the reciprocal of a number; the product of a number and its multiplicative inverse is 1
Answers
Answer:
1. Multiplicative identity:
The number 1; when multiplied by any number, the value of the number does not change.
2. Multiplicative inverse:
The reciprocal of a number; the product of a number and its multiplicative inverse is 1.
3. Commutative property:
a property of the real numbers which states that the order in which numbers are added or multiplied does not change the value
4. Additive identity:
The number 0; when added to any number, the value of the number does not change.
5. Additive inverse:
The opposite or negative of a number; the sum of a number and its additive inverse is 0
6. Associative property:
a property of the real numbers which states that how numbers are grouped in a sum or product does not change the value
7. Distributive property:
a(b + c) = ab + ac, or a(b - c) = ab - ac
Step-by-step explanation:
1. Multiplicative identity:
Ex: 3 × 1 = 3
2. Multiplicative inverse:
Ex: The multiplicative inverse of 2 is 1/2 ⇒ 2 × 1/2 = 1
3. Commutative property:
Ex: 2 + 3 + 5 = 10 , 3 + 2 + 5 = 10 , 5 + 3 + 2 = 10
2 × 3 × 5 = 30 , 3 × 2 × 5 = 30 , 5 × 3 × 2 = 30
4. Additive identity:
Ex: 2 + 0 = 2
5. Additive inverse:
Ex: The additive inverse of 5 is -5 ⇒ 5 + -5 = 0
6. Associative property:
Ex: 2 + (3 + 5) = (2 + 3) + 5
2× (3 × 5) = (2 × 3) × 5
7. Distributive property:
Ex: 2(3 + 5) = 2 × 3 + 2 × 5
2(5 - 3) = 2 × 5 - 2 × 3
Answer:1. Multiplicative identity:
The number 1; when multiplied by any number, the value of the number does not change.
2. Multiplicative inverse:
The reciprocal of a number; the product of a number and its multiplicative inverse is 1.
3. Commutative property:
a property of the real numbers which states that the order in which numbers are added or multiplied does not change the value
4. Additive identity:
The number 0; when added to any number, the value of the number does not change.
5. Additive inverse:
The opposite or negative of a number; the sum of a number and its additive inverse is 0
6. Associative property:
a property of the real numbers which states that how numbers are grouped in a sum or product does not change the value
7. Distributive property:
a(b + c) = ab + ac, or a(b - c) = ab - ac
Step-by-step explanation:
1. Multiplicative identity:
Ex: 3 × 1 = 3
2. Multiplicative inverse:
Ex: The multiplicative inverse of 2 is 1/2 ⇒ 2 × 1/2 = 1
3. Commutative property:
Ex: 2 + 3 + 5 = 10 , 3 + 2 + 5 = 10 , 5 + 3 + 2 = 10
2 × 3 × 5 = 30 , 3 × 2 × 5 = 30 , 5 × 3 × 2 = 30
4. Additive identity:
Ex: 2 + 0 = 2
5. Additive inverse:
Ex: The additive inverse of 5 is -5 ⇒ 5 + -5 = 0
6. Associative property:
Ex: 2 + (3 + 5) = (2 + 3) + 5
2× (3 × 5) = (2 × 3) × 5
7. Distributive property:
Ex: 2(3 + 5) = 2 × 3 + 2 × 5
2(5 - 3) = 2 × 5 - 2 × 3
Step-by-step explanation:Answer:
A cake recipe calls for 425 g of flour about how many pounds of flour do you need use the conversion factors
Answers
You'd need 0 pounds and 14 ounces of flour.
Please help with this normal distribution problem
Answers
900 = 750 + 2*75. In other words, 900 is 2 standard deviations away from the mean. Similarly, 975 is 3 standard deviations from the mean. So
[tex]P(900<X<975)=P(2<Z<3)[/tex
where [tex]X[/tex] is the random variable for the lifespan of a light bulb with the given normal distribution, and [tex]Z=\dfrac{X-750}{75}[/tex] with the standard normal distribution.
We get
[tex]P(2<Z<3)\approx0.0214=2.14\%[/tex]
If you don't have a calculator/lookup table available, you can invoke the empirical rule, the one that says
[tex]\begin{cases}P(-1<Z<1)\approx68\%\\P(-2<Z<2)\approx95\%\\P(-3<Z<3)\approx99.7\%\end{cases}[/tex]
The normal distribution is symmetric about its mean, so we also know
[tex]\begin{cases}P(0<Z<1)\approx34\%\\P(0<Z<2)\approx47.5\%\\P(0<Z<3)\approx49.85\%\end{cases}[/tex]
Then
[tex]P(2<Z<3)=P(0<Z<3)-P(0<Z<2)\approx2.35\%[/tex]
Answer:
0.021
Step-by-step explanation:
One way in which to approach this problem solution is to use a calculator that has statistical distribution functions built in. My old TI-83Plus has the function "normalcdf," which does the job nicely.
Typing in normalcdf(900,975,750,75) results in the probability 0.021 that a light bulb chosen at random will last between 900 and 975 hours.
Using a table of z-scores would be a good alternative approach. Note that the z-score corresponding to 750 hours is 0; that for 900 is +2; and that for 975 is +3. Find the area under the standard normal curve to the left of 975 (z = 3) and that to the left of 900 (z = 2), and then subtract the two results. It will be 0.021, as before.
If SS= 162 from a sample of 15 data, find s^2
Answers
Answer:
11.57
Step-by-step explanation:
We have a simple formula to solve this:
[tex]s^2=\frac{SS}{n-1}[/tex]
where
SS is sum of squares
s^2 is the variance, and
n is the number of data points
We are given all the info to find out s^2. Hence,
[tex]s^2=\frac{SS}{n-1}\\s^2=\frac{162}{15-1}\\s^2=\frac{162}{14}=11.57[/tex]
solve for y
13 = 6 + y
Answers
13 - 6 is 7
7 + 6 = 13
Just subtract the 2 numbers and you get your answer.
Final answer:
The equation 13 = 6 + y is solved by subtracting 6 from both sides, yielding y = 7.
Explanation:
To solve for y in the equation 13 = 6 + y, we need to isolate y on one side of the equation. We can do this by subtracting 6 from both sides of the equation.
Here is how you can solve the equation step by step:
Start with the original equation: 13 = 6 + y.
Subtract 6 from both sides: 13 - 6 = 6 + y - 6.
This simplifies to: 7 = y.
So, the value of y is 7.
rewrite 3 x 6/8 as the product of a unit fraction and a whole number
Answers
3/1×6/8=3/1×3/4=9/4=2 1/4
An someone please help.
Answers
This is a special right triangle with 3 sides that are 5, 12, 13. You should remember this triangle.
[tex] {13}^{2} = {x}^{2} + {12}^{2} \\ {x}^{2} = {13}^{2} - {12}^{2} \\ x = \sqrt{ {13}^{2} - {12}^{2} } = \sqrt{169 - 144} = \sqrt{25} = 5[/tex]
Which of the following values in the set below will make the equation 5x + 6 = 6 true? (Only input the number.) {0, 1, 2, 3, 4} Numerical Answers Expected! Answer for Blank 1:
Answers
Answer:
0Step-by-step explanation:
Put the values of x from the set {0, 1, 2, 3, 4} to the euation 5x + 6 = 6 and check it:
for x = 0:
5(0) + 6 = 6
0 + 6 = 6
6 = 6 TRUE
for x = 1:
5(1) + 6 = 6
5 + 6 = 6
11 = 6 FALSE
for x = 2:
5(2) + 6 = 6
10 + 6 = 6
16 = 6 FALSE
for x = 3:
5(3) + 6 = 6
15 + 6 = 6
21 = 6 FALSE
for x = 4:
5(4) + 6 = 6
20 + 6 = 6
26 = 6 FALSE
which of the following has the greatest value?
A) .4
B) .36
C) .052
D) .173
E) .0985
I need help
Answers
Answer:
0.4
Step-by-step explanation:
The way you can tell is by first looking at the left-most digit. If they are all the same, look one to the right. Keep looking until you find one with a greater number than the others.
Help me please urgent
Answers
4. A 65mi
5. B $270
if the radius of a circle is 15 units abs the center of the circle is (-3,2), what is the equation of the circle?
Answers
Answer:
[tex]\large\boxed{(x+3)^2+(y-2)^2=225}[/tex]
Step-by-step explanation:
The equation of a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) - center
r - radius
We have r = 15 and the center (-3, 2). Substitute:
[tex](x-(-3))^2+(y-2)^2=15^2\\\\(x+3)^2+(y-2)^2=225[/tex]
oof IDK anymore look above at the picture
Answers
Answer:
V=120 in^3
Step-by-step explanation:
Height x Width x Length
A triangle has an area of 80 yd2
and a height of 10 yd
How long is the base of the triangle?
Enter your answer in the box.
Answers
Answer:
The base is 16
Step-by-step explanation:
Answer:
8 yd²
Step-by-step explanation:
What is the volume of the cone shown in the picture ?
need some help
Answers
Answer:
Cone Volume = (π • radius² • height) ÷ 3
Cone Volume = (π • 8^2 * 17) /3
Cone Volume = (PI * 1,088) / 3
Cone Volume = 1,139.35 cubic centimeters
Step-by-step explanation:
The difference between the two roots of the equation 3x2+10x+c=0 is 4 2/3 . Find the solutions for the equation.
Answers
Answer:
x1 = - 4
x2 = 2/3
Step-by-step explanation:
Divide the equation by 3 to give
x^2 + 10x/3 + c/3 = 0
The sum of the two roots = - 10/3
So
x1 + x2 = -10/3
x1 - x2 = 4 2/3 Add these two equations.
2x1 = -10/3 + 4 2/3 Change 4 2/3 to an improper fraction
2x1 = -10/3 + 14/3 Combine the right
2x1 = 4/3 Divide by 2
2x1/2 =4/3//2
x1 = 2/3
=====================
x1 + x2 = - 10/3
2/3 + x2 = - 10/3
x2 = - 10/3 - 2/3
x2= -12/3
x2 = - 4
=================
(x - 2/3)(x +4) = 0 Multiply through by 3
(3x - 2)(x + 4) =0
==============
Check
(3x - 2)(x + 4) = 0
3x^2 + 12x - 2x - 8 =0
3x^2 + 10x - 8 = 0
Which graph represents the multiplication of 3(-4)
Answers
Answer:
Step-by-step explanation:
Unfortunately, you haven't shared the graphs from which you're supposed to choose.
I would draw a number line. Place a dot at 0. Now move 4 spaces to the left and place another dot. Repeat this twice. Your final dot will represent 3(-4).
Answer:
Look at the photo provided above
which place value chart represents the number 450,803
Answers
Answer:
3 = ones
0 = tens
8 = hundreds
0 = thousands
5 = ten-thousands
4 = hundred-thousands
Answer
C. 4508
Your Welcome
Maggie has 7 tiles with pictures of plants and 2 tiles with pictures of animals. Maggie keeps all the tiles on a mat with the pictures hidden and mixes them up. She then turns one tile face up and finds the picture of a plant on it. She removes this tile from the mat and turns over another tile without looking. What is the probability that the second tile that Maggie turns over has a plant on it?
Answers
Answer:6/8 - - - - simplified 3/4
Step-by-step explanation: removing the tile she just flipped over would be 6 plants and 2 animals so there would be 8 total tiles and you would putt the remaining tiles over it like so 6/8 meaning out of the remaining 8 tiles 6 of them are plants giving her a 6 in 8 chance or a 3 in 4 chance
Answer:
[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
We are given that Maggie has 7 tiles with pictures of plants and 2 tiles with pictures of animals .
Number of tiles with picture of plants =7
Number of tiles with picture of animals =2
Total number of tiles =7+2=9
We have to find the probability that the second tile that Maggie turns over has plant on it .
When she removes one tile of picture of plant then she has number of tiles of picture of plants =6
Total number of tiles =8
Probability,P(E)=[tex]\frac{Number\;of\;favorable\;cases}{Total\;number\;of\;cases}[/tex]
Using the formula then we get
The probability that she finds tile of picture of plant =[tex]\frac{6}{8}=\frac{3}{4}[/tex]
which expressions have the same product as 5 * 3/4
Answers
Answer:
Step-by-step explanation:
Well let's get a couple of equivalents and you can pick the one you like best.
You could have (5 * 3)/4 = 15/4
This 15/4 will give you 3.75
You could have (2*15)/ (2*4) = 30/8 Multiply top and bottom by 2.
30/8 = 3 6/8 = 3 and 3/4
Write and solve an equation to answer the question,
"5 is 5% of what number w?"
An equation is blank =0.05 blank .
The solution is w= blank.
Answers
The mathematical representation of '5 is 5% of what number?' is 5 = 0.05w. To solve for w, we divide 5 by 0.05, which gives us a value of w=100.
Explanation:To solve the question, '5 is 5% of what number w?', we can set up the equation as 5 = 0.05w. This equation represents the statement '5 is 5% of some number w' in mathematical terms. To find the value of w, we divide both sides of the equation by 0.05. The calculation goes like this:
Set up the equation: 5 = 0.05wDivide both sides by 0.05: w = 5 / 0.05Perform the division to find the value of w: w=100Learn more about Math Percentage here:
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The equation to find the number for which 5 is 5% is: 5 = 0.05w. The solution to the equation is w = 100.
To write and solve the equation that represents the given statement, we can let 'w' represent the unknown number.
The equation is:
5 = 0.05w
Solving for w, we divide both sides by 0.05:
w = 5 / 0.05
w = 100
Therefore, the solution to the equation is w = 100. This means that 5 is 5% of 100.
Esta es una bebida amarga.
sweet
yellow
bitter
salty
Answers
Answer:
Step-by-step explanation:
It's not math, but the answer is BITTER. (i used google translate)
the perimeter of a parallelogram is 72 meters. the width of the parallelogram is 4 meters less than it's length. Find the length and the width of the parallelogram
Answers
Answer:
Length is 18 meters and width is 14 meters
Step-by-step explanation:
You can solve for the length by using the perimeter formula.
P = 2l + 2w.
You know P = 72. You also know the length is l and the width is w = l - 4.
72 = 2l + 2(l - 4)
72 = 2l + 2l - 8
72 = 4l - 8
72 = 4l
18 = l
This means the width which is 4 meters less is 18 - 4 = 14.