Answers
Answer:
112v=6 1 12 v = 6 . 12
Step-by-step explanation:
The solution to the equation is v = 72.
We have,
To solve the equation 6 = (1/12)v, we can follow these steps:
Multiply both sides of the equation by 12 to eliminate the fraction:
6 * 12 = (1/12)v * 12,
72 = v.
Therefore, the solution to the equation 6 = (1/12)v is v = 72.
To check this solution, we substitute v = 72 back into the original equation:
6 = (1/12)(72),
6 = 6.
Since both sides of the equation are equal, we can confirm that the solution v = 72 is correct.
Thus,
The solution to the equation is v = 72.
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Related Questions
7. QR =
8. Z
P
24x - 2
Q 6x +14 R
102
->
Answers
Answer:
7Q ^12
Step-by-step explanation:
Porque se se suman la cuestione y porque solo me estás pagando con cinco puntos
One circle has a circumference of 12 pie Another circle has a circumference of 32 pie What is the ratio of the radius of the smaller circle to the radius of the larger circle?
Answers
Answer:
3 : 8
Step-by-step explanation:
The ratio of the radii is equal to the ratio of the circumference, then ratio is
12π : 32π ( divide both parts by 4π )
= 3 : 8
let r(x) = f(g(h(x))), where h(1) = 2, g(2) = 4, h'(1) = 4, g'(2) = 4, and f '(4) = 7. find r'(1). r'(1)
Answers
The value of r'(1) is 112.
To find the derivative of r(x) at x = 1, we'll use the chain rule. The chain rule states that if r(x) = f(g(h(x))), then the derivative of r(x) with respect to x is given by r'(x) = f'(g(h(x))) * g'(h(x)) * h'(x).
When r(x) = f(g(h(x))) by chain rule
r'(x) = f'(g(h(x))) * g'(h(x)) * h'(x)
So r'(1) = f'(g(h(1))) * g'(h(1)) * h'(x)
As h(1) = 2 and h'(1) = 4
r'(1) = f'(g(2)) * g'(2) * 4
As g(2) = 4 and g'(2) = 4
r'(1) = f'(4) * 4 * 4
As f'(4) = 7
r'(1) = 7 * 4 * 4
r'(1) = 112
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If+you+invest+$100+at+an+interest+rate+of+15%,+how+much+will+you+have+at+the+end+of+eight+years?
Answers
Answer:
$305.9022863 or $305.90 (rounded to 2 decimal places)
Step-by-step explanation:
It is a compound interest, meaning an interest accumulates on an initial amount every period. The formula
A= P(1+R)^n
A= the total amount P=Initial amount R= rate n=time period
P=$100 R=15% or 0.15(decimal) n=8 (years)
A= 100 (1.15)^8
A= 100(3.059022863)
A=305.9022863
The amount you will have after 8 years is $220
Calculating simple interestThe formula for calculating simple interest is expressed as:
SI =PRT
P is the principal = $100
T is the time = 8 years
R is the rate. = 15%
SI = 100 * 8 * 0.15
SI = $120
Amount after 8years = $100 + $120
Amount after 8years = $220
Hence the amount you will have after 8 years is $220
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Which of the following is(are) the solution(s) to |15x + 2 |= 8 ?
Answers
Hi!
\(|15x+2|=8\\\\\\15x+2=8\\15x=8-2\\15x=6 \ \ |:15\\\boxed{x_1=0,4}\\\\\\15x+2=-8\\15x=-8-2\\15x=-10 \ \ |:15\\\boxed{x_2=-\frac{2}{3}}\)
Answer:
x = 2/5 x = -2/3
Step-by-step explanation:
|15x + 2 |= 8
There are two solutions, one positive and one negative
15x + 2 = 8 and 15x + 2 = -8
Subtract 2 from each side
15x + 2-2 = 8-2 and 15x + 2-2 = -8-2
15x = 6 15x = -10
Divide by 15
15x/15 = 6/15 15x /15 = -10/15
x = 2/5 x = -2/3
what did you do to find the GCF given the remaining factors?
Answers
Answer:
To find GCD or HCF, just write the common factor.
Step-by-step explanation:
To find the GCF of greater numbers, you can factor each number to find their prime factors, identify the prime factors they have in common, and then multiply those together.
I need help please there a photo
Answers
Answer:
A. Vertical angles
Step-by-step explanation:
\(\angle a \: and\: \angle b \) are vertical angles.
Hope it helps you in your learning process.
please, please help me with this!! it’s very important.
Answers
The parabola's vertex is located at (-2, 8). The parabola's graph is then depicted below.
Let a be the leading coefficient and the parabola's vertex be the point (h, k). The parabola's equation will therefore be stated as,
y = a(x - h)² + k
The parabola's equation is stated as,
y = -(x + 2)² + 8
The downward-pointing parabola is represented by the negative sign.
The vertex of the parabola is at (-2, 8), according to the equation above. The parabola's graph is then depicted below.
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Find the measurement of the missing angles.
Answers
Answer:
g=62* h= 118* k=97* m=83
Step-by-step explanation:
It would be the same on the oposite side of the angle and for m and h all you have to do is subtract the existing numbers (degrees) by 180. Hope this helps ;-)
The lengths of the three sides of a triangle (in inches) are consecutive odd integers. If
the perimeter is 57 inches, find the value of the middle of the three side lengths.
Answers
The sides of the triangle are 17, 19 and 21 and 19 is middle of the three side lengths.
What are triangles?
Three vertices make up a triangle, a three-sided polygon. The angles of the triangle are formed by the three sides' end-to-end connections at a point. The triangle's three angles add up to a total of 180 degrees.Let the side of triangle = x
x-2, x, x+2 are the three sides and their sum is 3x.
3x = 57
x = 57/3
x = 19.
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To show - 7 on the number line, from zero, we have to move 7 units in which direction?
Answers
Answer:
7 units to the left.
Step-by-step explanation:
On the number line , the number will always decrease when we move towards the left, and likewise will always increase when we move towards the right. In this case since the number is moving from 0 to -7, it is definitely decreasing therefore we will move 7 units to the left.
Write 4–6 sentences explaining why it is important to have precise definitions
in mathematics. Choose five terms, some from geometry and some from other
areas of mathematics, and give a precise definition of each. Then change each
of those definitions so that it still describes the term but not precisely enough to avoid ambiguity. formulate counter examples, with sketches when feasible, that show how things could satisfy the less precise definitions but not match the intended terms.
pleaseeee help asap !
avoid ambiguity. Formulate counterexamples, with sketches when feasible, that
show how things could satisfy the less precise definitions but not match the
intended terms.
Answers
Answer and Step-by-step explanation:
Areas of mathematics, and give a precise definition of each.
Sol: importance: mathematics can be tricky, so precise definitions are essential. Without them, there can be confusion, which will generate the wrong answer more often than not. It teaches the students exactly how to use formulas and under what condition a mathematical statement is true.
Some words related to geometry that are quite hard to define precisely are the line, the plane, and the point. In mathematics, the unit square is area one and any other shape.
bob picked 195 oranges from his tree. He ate 3 oranges that looked most delicious. He made 12 gallons of juice from the rest.
Write an equation of oranges that are in each gallon of juice.
Answers
Answer:
(195-3)/12 = 16
Step-by-step explanation:
Subtract 3 from 195 to find how many oranges were used to make all 12 gallons. That will give you 192, which you can then divide by 12 for the answer of 16 oranges per gallon of juice.
Answer:
no
Step-by-step explanation:
no
please someone help me!!!!!!
Answers
Answer:
see explanation
Step-by-step explanation:
Using the identity
cos2Θ = 1 - 2sin²Θ, then
1 - 2sin²(\(\frac{\pi }{4}\) - \(\frac{0}{2}\) )
= cos [2(\(\frac{\pi }{4}\) - \(\frac{0}{2}\) )]
= sos(\(\frac{\pi }{2}\) - Θ )
= cos\(\frac{\pi }{2}\)cosΘ + sin
= 0 × cosΘ + 1 × sinΘ
= 0 + sinΘ
= sinΘ = right side
Answer: see proof below
Step-by-step explanation:
Use the Difference Identity: sin (A + B) = sin A cos B - cos A sin B
Use the following Half-Angle Identities:
\(\sin\bigg(\dfrac{A}{2}\bigg)=\sqrt{\dfrac{1-\cos A}{2}}\\\\\cos\bigg(\dfrac{A}{2}\bigg)=\sqrt{\dfrac{1+\cos A}{2}}\)
Use the Pythagorean Identity: cos²A + sin²A = 1 --> sin²A = 1 - cos²A
Use the Unit Circle to evaluate: \(\cos\dfrac{\pi}{4}=\sin\dfrac{\pi}{4}=\dfrac{1}{\sqrt2}\)
Proof LHS → RHS
\(\text{Given:}\qquad \qquad \qquad 1-2\sin^2\bigg(\dfrac{\pi}{4}-\dfrac{\theta}{2}\bigg)\\\\\text{Difference Identity:}\quad 1-2\bigg(\sin\dfrac{\pi}{4}\cdot \cos \dfrac{\theta}{2}-\cos \dfrac{\pi}{4}\cdot \sin\dfrac{\theta}{2}\bigg)^2\\\\\text{Unit Circle:}\qquad \qquad 1-2\bigg(\dfrac{1}{\sqrt2}\cos \dfrac{\theta}{2}-\dfrac{1}{\sqrt2}\sin \dfrac{\theta}{2}\bigg)^2\\\\\\\text{Half-Angle Identity:}\quad 1-2\bigg(\dfrac{\sqrt{1+\cos A}}{2}-\dfrac{\sqrt{1-\cos A}}{2}\bigg)^2\)
\(\text{Expand Binomial:}\quad 1-2\bigg(\dfrac{1+\cos A}{4}-\dfrac{2\sqrt{1-\cos^2 A}}{4}+\dfrac{1-\cos A}{4}\bigg)\\\\\text{Simplify:}\qquad \qquad \quad 1-2\bigg(\dfrac{2-2\sqrt{1-\cos^2 A}}{4}\bigg)\\\\\text{Pythagorean Identity:}\quad 1-\dfrac{1}{2}\bigg(2-2\sqrt{\sin^2 A}\bigg)\\\\\text{Simplify:}\qquad \qquad \qquad 1-\dfrac{1}{2}(2-2\sin A)\\\\\text{Distribute:}\qquad \qquad \qquad 1-(1-\sin A)\\\\.\qquad \qquad \qquad \qquad \quad =1-1+\sin A\\\\\text{Simplify:}\qquad \qquad \qquad \sin A\)
RHS = LHS: sin A = sin A \(\checkmark\)
22. Linda is a salesperson for Spooner's Cleaning Service, which cleans office buildings. She
receives a 14% commission for every office that signs a contract for the cleaning service. Last week
she received $1,233.60 in commissions. What was the total value of the cleaning contracts she sold,
rounded to the nearest dollar?
Answers
Answer:
The total value of the cleaning contracts sold is $8,811
Step-by-step explanation:
Here, we are interested in calculating the value of the cleaning contracts sold.
Let the total value of the cleaning contracts sold be $x
Mathematically;
14% of x = 1233.60
14/100 * x = 1233.60
14x = 100 * 1233.60
x = 123360/14
x = 8,811.43
Which is $8,811 to the nearest dollars
Interpet mixed representations
Answers
In the given situation the mean score of the players in the soccer match is 1.67 respectively.
What is mean?There are various mean types in mathematics, particularly in statistics.
Each mean helps to summarize a certain set of data, frequently to help determine the overall significance of a specific data set.
By dividing the sum of the given numbers by the entire number of numbers, the mean—the average of the given numbers—is determined. Mean is equal to (Sum of All Observations/Total Observations).
Mean formula:
Mean = sum of terms/number of terms
Now, insert values:
Mean = 2+2+0+3+1+2/6
Mean = 10/6
Mean = 1.66
Mean = 1.67
Therefore, in the given situation the mean score of the players in the soccer match is 1.67 respectively.
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When Q > K, the amount of products must _____ and the amount of reactants must _____ for equilibrium to be established. Thus, when Q > K, the reaction will proceed toward the _____ to establish equilibrium.
Answers
When Q > K, the amount of products must decrease and the amount of reactants must increase for equilibrium to be established. Therefore, the reaction will proceed in the reverse direction to establish equilibrium.
When discussing chemical reactions and equilibrium, the reaction quotient (Q) and equilibrium constant (K) play important roles.
The reaction quotient is calculated in the same way as the equilibrium constant, but it can be evaluated at any point during the reaction, not just at equilibrium.
If the reaction quotient, Q, is greater than the equilibrium constant, K (Q > K), it indicates that the system has an excess of products compared to what is required at equilibrium.
To establish equilibrium, the reaction needs to shift in the reverse direction to reduce the concentration of products and increase the concentration of reactants.
This shift occurs because the system seeks to minimize the imbalance caused by the excess of products.
By proceeding in the reverse direction, the reaction consumes some of the excess products and forms more reactants.
As reactants are consumed, their concentration increases, bringing the system closer to equilibrium. The reaction will continue to proceed in the reverse direction until Q becomes equal to K, indicating that the system has reached equilibrium.
In summary, when Q > K, the reaction will proceed toward the reverse direction to establish equilibrium by reducing the concentration of products and increasing the concentration of reactants.
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Wrote the volume of each figure and the number sentence you used to find it. Then Circle the card that would win the round of prism pile - up. Remember V = Length × Width × Heaight.
Also this is not Middle school math this is 5th grade math.
V = _____ Cubic Centimeters
________________
(number sentence)
please help. also the answer is not 75 I got that and it is wrong.
Answers
Answer:
11cm
Step-by-step explanation:
You have to add them all up
Which vector spaces have exactly one basis?
Answers
The vector space that has exactly one basis is the trivial vector space, which is the vector space containing only the zero vector.
A basis for a vector space is a set of linearly independent vectors that span the entire space. In a non-trivial vector space (a space that contains more than just the zero vector), there are infinitely many possible bases. This is because any set of linearly independent vectors that span the space can be used as a basis.
However, in the trivial vector space, there is only one vector (the zero vector), and it is linearly independent of itself. Therefore, the trivial vector space has exactly one basis, which is the set containing only the zero vector. Any other set of vectors in the trivial vector space is linearly dependent, and therefore cannot be used as a basis.
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What equation can be used to find the sum of 4/10 and 7/100
Answers
Answer:
47/100
Step-by-step explanation:
First you have to make the denominators equal.
4/10 * 10/10 = 40/100
40/100 + 7/100 = 47/100
The amount of water in reservoirs is often measured in acre-ft. One acre-ft is a volume that covers an area of one acre to a depth of one foot. An acre is 43,560 ft2. Find the volume in SI units of a reservoir containing 46.0 acre-ft of water.
Answers
Answer:
56740.15908m³
Approximately to the nearest whole number, the volume of 46 acre-ft of reservoir = 56740m³
Step-by-step explanation:
1 meter = 3.28084ft
1 acre = 43,560 ft²
Therefore, using our unit conversion, the volume in S.I units of a reservoir containing 46 acre- ft of water is calculated as :
46 acre - ft × (1 meter/3.28084ft) × (43,560ft²/1 acre) × (1 meter/3.28084ft)²
= 2003760/35.314670112
= 56740.15908m³
Approximately to the nearest whole number, the volume of 46 acre-ft of reservoir = 56740m³
Put these in ascending order. -3 , -15 , 0 , 6 , -35
Answers
Answer:
-35, -15, -3, 0, 6
Step-by-step explanation:
Negative integers are smaller than positive integers. Negative integers are like - 35, -15 and etc numbers which have a minus sign behind the numbers. The greater the number with the minus sign at the back, the smaller the number.
Answer:
Ascending order;
-35, -15, -3, 0 and 6.
What is the slope of the line that passes through the points (-5, 6) and (-9, -6)?
Write your answer in simplest form.
Answers
Answer: Slope = 3
Step-by-step explanation:
Helps plz ;(( plz pleaseee
Answers
Answer: p = 68
Step-by-step explanation: a^2 + b^2 = c^2. lmk if you need a better explanation.
Answer:
Pythagorean Theorem : MA²+AT²=RM² => MA²=RM²-AT²= 26²-10²=576
=> MA=√576 = 24 inch
P = (24x2) + ( 10 x2 ) = 68
I'm sorry
Step-by-step explanation:
Based on your calculations in the previous problem has the German mark depreciated or appreciated
Answers
Answer:
depreciated
Step-by-step explanation:
PLEASE HELP!!!!!!!!!
Answers
Answer:the correct answer is D
Step-by-step explanation:
What is the measure of angle c in the parallelogram shown
Answers
Answer:
35°
Step-by-step explanation:
Same-Side interior angles (consecutive angles) are supplementary.
Supplementary meaning that those two angles add up to make 180°.
So Angles C is 35°
Harry tosses a nickel 4 times. The probability that he gets at least as many heads as tails is.
Answers
The answer is 4/8 or 1/2 or 0.5 or 50%
Step-by-step explanation:
A nickel has two faces, heads and tails
Equation of probability = Number of chances/Total Numbers of chances
So, 4 chances of heads / 8 chances of heads or tails, thus, there is a chance of 50% if Harry tosses the coin 4 times to get a head
As a retiring employee, you'll receive 1.01% of your average salary from the last five years you worked with your company.
You plan to retire after 36 years with the company.
Your salaries for your last five years are:
$180,699
$90,404
$146,579
$83,468
$86,280
Calculate your annual retirement salary.
Answers
Evaluate this exponential expression.
A. 63
OB. 66
C. 19
D. 207
6 (4+2)2-32
Answers
Answer:To evaluate the exponential expression 6(4+2)² - 32, we need to follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).
First, we simplify the expression inside the parentheses:
4 + 2 = 6
Next, we square the result:
6² = 36
Now, we substitute the squared result back into the expression:
6(36) - 32
Next, we perform the multiplication:
6 * 36 = 216
Finally, we subtract 32:
216 - 32 = 184
Therefore, the value of the given exponential expression 6(4+2)² - 32 is 184.