simplify this expression: 3c + 7 - 9c

Answer:

Saanvi recorded the number of math problems she did for homework each night for 10 days.

Step-by-step explanation:

Answer:

8x

Step-by-step explanation:

8= the times multiply and "x" being the # being multiply

Answer:

8x - y

Step-by-step explanation:

8 times a number (x) is 8 times x = 8x

decreasing by y means take away y...  but u should know that right?

lol hope this helps :)

brainliest?

Answer:

second option is the answer

Step-by-step explanation:

Fot every action,there is an equal and opposite reaction

Answer:

12 cm^3

Step-by-step explanation:

Before we do anything, we should set up the proportion.

\(\frac{\pi * r^2*h}{\frac{4\pi r^3}{3}} = \frac{18}{x}\)

Now do the Cancelations of \pi r^2 on the left.

h// (4/3) r  = 18/x

but h = 2*r

2r // (4/3) * r   = 18/x   Cancel the rs on the left

2// (4/3) = 18/x            Make 2 = 2/1 so you can handle the fraction

2/1 // (4/3) = 18/x         Invert and multiply the denominator

2/1 * 3/4 = 18/x

6/4 = 18x                     You can reduce the left side

3/2 = 18x                     Cross multiply

3x = 2*18                     Combine the right

3x = 36                        Divide by 3

x = 12

So what you have found is the volume of the sphere. 12 cm^3

This is a very interesting question. Keep in mind that physics does this all the time for any of the force formulas (but not all).

I'm a little long winded here, but the first time you see this, you should be given very small steps.

Answer:

The answer is B. 10^3

Answer:

10x10x10

Step-by-step explanation:

Thus, shown in long form, a power of 10 is the number 1 followed by n zeros, where n is the exponent and is greater than 0; for example, 106 is written 1,000,000. When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01. if im not right i tried to fix the math question

Answer:

5x-10

Step-by-step explanation:

distribute 3 & 2 thought the parenthesis

On a trip to the beach, a family traveled 36.5 miles by car to the local airport then they flew 785.962 more miles on an airplane. The difference in the number of miles the family flew can be calculated by subtracting the number of miles traveled by car from the total number of miles traveled, which includes both the car and airplane travel.

= Total number of miles - Number of miles traveled by car The total number of miles traveled is the sum of the distance traveled by car and the distance traveled on an airplane.

= Distance traveled by car + Distance traveled on airplane

= 36.5 + 785.962

= 822.462 miles The difference in miles the family flew is:

= Total number of miles - Number of miles traveled by car

= 822.462 - 36.5

= 785.962 miles the difference in the number of miles the family flew is 785.962 miles.

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The algorithm is correct and can be proven using the loop invariant theorem. The loop invariant for this algorithm is that at the start of each iteration of the loop, the value of j is a divisor of m.

To prove the correctness of the algorithm using the loop invariant theorem, we need to establish three properties: initialization, maintenance, and termination.

Initialization: Before the loop starts, j is initialized to 0. At this point, the loop invariant holds because 0 is a divisor of any positive integer m.

Maintenance: Assuming the loop invariant holds at the start of an iteration, we need to show that it holds after the iteration. In this algorithm, j is incremented by 1 in each iteration. Since j starts as a divisor of m, adding 1 to j does not change its divisibility property. Therefore, the loop invariant is maintained.

Termination: The loop terminates when j becomes greater than m. At this point, the loop invariant still holds because j is not a divisor of m. Thus, the loop invariant is maintained throughout the entire execution of the algorithm.

Since the initialization, maintenance, and termination properties hold, we can conclude that the algorithm is correct. The loop invariant, in this case, is that at the start of each iteration, the value of j is a divisor of m.

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Answer:

a=10

Step-by-step explanation:

The question can be interpreted as

F∝a

If we introduce proportionality constant k, we have

F= k.a

28= k. 7

k= 28/7

k= 4

Then the equation can be written as

F= 4.a

To find, a when F = 40?

F= 4.a

40=4 × a

a= 40/4

a= 10

Answer:

199

Step-by-step explanation:

49 + 64 + 81 - 36 +25+16

194 - 36 +25 + 16

-36 + 25 + 16

= -11 + 16 = 5

194 + 5 = 199

Answer:

take lowest common factor

Step-by-step explanation:

Answer:

Find the least common denominator for both fractions and set up the fractions so they can both contain that same denominator.

Step-by-step explanation:

For example, let's say you want to add the fractions \(\frac{3}{4}\) and \(\frac{2}{7}\).

First, you will want to find the least common demoninator.  Write out the multiples for both denominators originally given, in this case 4 and 7.  Let's go up to 4*10 and 7*10:

4: 4,8,12,16,20,24,28,32,36,40

7: 7,14,21,28,35,42,49,56,63,70

Se which number in both sets is the first number to be the same in both sets.  That will be your least common denominator.  In this case, the least comon denominator is 28.

To set the fractions right, you would need to multiply the first fraction, 3/4, by 7/7: \(\frac{3}{4}*\frac{7}{7}=\frac{21}{28}\)

Then, you would need to multiply the second fraction, 2/7, by 4/4: \(\frac{2}{7}*\frac{4}{4}=\frac{8}{28}\)

Now, since both fractions have a common deonminator now, you can add them togther and simplify afterwards if you need to:

\(\frac{21}{28}+\frac{8}{28}=\frac{29}{28}=1\frac{1}{28}\)

And that's it.

The equation that can be formed from the given set of numbers

1) (3 + 4) * 6 + 7 = 24

2) 3 + 4 * (6 + 7) = 24

3) 3 + 4 + 6 + 7 = 20, so (3 + 4 + 6 + 7) * 1 = 24

4) 3 * 4 * 6 * 7 = 168, so 168 / 7 = 24

Mathematical Operations :

The mathematical “operation” refers to calculating a value using operands and a math operator. The symbol of the math operator has predefined rules to be applied to the given operands or numbers.

Mathematical Equations :

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used.

BODMAS

According to the BODMAS rule, mathematical equations containing numerous operators must be resolved in the order of BODMAS, starting from the left.

Keep in mind that the order in which you perform the operations will affect the result. Parentheses are used to indicate the order in which operations should be performed.

In the first example above, the operation inside the parentheses (3 + 4) is done first, and then that result is multiplied by 6 and added to 7.

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(i)The impulse response h(t) is a quadratic function that opens downward and has roots at t = -1. (ii)Therefore, by evaluating the convolution integral with the given input signal x(t) and impulse response h(t), we can determine the output signal y(t) and sketch its graph based on the obtained expression.

i. To sketch the signals x(t) and h(t), we can analyze their mathematical expressions. The input signal x(t) is a linear function with negative slope from t = 0 to t = 4, and it is zero for t > 4. The impulse response h(t) is a quadratic function that opens downward and has roots at t = -1. We can plot the graphs of x(t) and h(t) based on these characteristics.

ii. To determine the output signal y(t), we can use the convolution integral, which is given by the expression:

y(t) = ∫[x(τ)h(t-τ)] dτ

In this case, we substitute the expressions for x(t) and h(t) into the convolution integral. By performing the convolution integral calculation, we obtain the expression for y(t) as a function of t.

To sketch the output signal y(t), we can plot the graph of y(t) based on the obtained expression. The shape of the output signal will depend on the specific values of t and the coefficients in the expressions for x(t) and h(t).

Therefore, by evaluating the convolution integral with the given input signal x(t) and impulse response h(t), we can determine the output signal y(t) and sketch its graph based on the obtained expression.

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Using the method of undetermined coefficients, the particular solution for the given system x' = x + 3y + 2 and y' = 3x + 3y - 2 is xp(t) = -1/2 for x(t) and xp(t) = 1/2 for y(t).

To find a particular solution using the method of undetermined coefficients, we assume that the particular solution takes the form of constant values for x and y, denoted as xp(t) = A for x(t) and xp(t) = B for y(t).

Taking the derivatives, we have xp'(t) = 0 for x'(t) and xp'(t) = 0 for y'(t).

Substituting these values into the given system of equations, we get:

0 = A + 3B + 2

0 = 3A + 3B - 2

Simplifying the equations, we find A = -1/2 and B = 1/2.

Therefore, the particular solution to the system x' = x + 3y + 2 and y' = 3x + 3y - 2 using the method of undetermined coefficients is xp(t) = -1/2 for x(t) and xp(t) = 1/2 for y(t).

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Answer:

follow the steps and you'll understand the question

Answer:

Just as geometry has rules, definitions, postulates, and theorems that help with problem-solving and understanding the relationships of shapes and solids, the Bible provides a similar guide for living a Christian life. The Bible contains a set of principles and teachings that serve as a foundation for Christian beliefs and values. These principles and teachings help Christians to understand the nature of God and their relationship with him, as well as the principles for living a moral and virtuous life.

In the same way that geometry relies on deductive reasoning to draw conclusions and make predictions, Christians use their knowledge of the Bible to make decisions and navigate the challenges of daily life. The Bible provides guidance on a wide range of topics, including relationships, work, ethics, and personal growth, helping Christians to make wise choices and avoid pitfalls.

Additionally, just as geometry helps us to understand the spatial relationships of objects, the Bible helps us to understand our place in the world and our relationship with others. The Bible teaches us about the importance of love, compassion, and forgiveness, and helps us to see the value and worth of every human being.

Overall, the Bible serves as a guide for living a Christian life, providing principles, teachings, and guidance that help us to understand God, ourselves, and our relationships with others.

Step-by-step explanation:

Answer:

yes...........s..s.s..s..s..,...

Answers to both subparts are shown:

(A) Only 1 prime number is in the multiples of 5 which is number 5 itself.

(B) No prime numbers are in the multiples of 8.

Any natural number higher than 1 that is not the sum of two smaller natural numbers is referred to be a prime number.

A composite number is a natural number greater than one that is not prime.

For instance, the number 5 is prime because there are only two ways to write it as a product, 1 × 5 and 5 × 1.

(A) Prime numbers that are multiples of 5:

All numbers that come in the table of 5 are multiples of 5.

Only the number 5 is the number that comes in the table of 5 is a prime number.

As 5 is only divisible by 1 and 5 itself.

(B) Prime numbers that are multiples of 8:

All numbers that come in the table of 8 are multiples of 8.

No number that comes in the table of 8 is a prime number.

As all the numbers are divided by also as 8 is an even number.

Therefore, answers to both subparts are shown:

(A) Only 1 prime number is in the multiples of 5 which is number 5 itself.

(B) No prime numbers are in the multiples of 8.

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10(c+5)=125

Step 1: Simplify both sides of the equation.

10(c+5)=125

(10)(c)+(10)(5)=125(Distribute)

10c+50=125

Step 2: Subtract 50 from both sides.

10c+50−50=125−50

10c=75

Step 3: Divide both sides by 10.

10c /10  =  75 /10

c =  15 /2

The three pairs are (AB = 6, BC = 6) (AB = 4, AC = 4√2) and (BC = 2√2, AC = 4). So, First option, Option 5. and Option 6 are correct answers.

Since we know that,

Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.

The formula for a 30-60-90 triangle is this:

1) Side opposite to 30 will be value a.

2) Side opposite to 60 will be value a√3

3) Hypotenuse will be 2a.

AB is opposite of the angle with 30 degree measurement.

BC is opposite of the angle with 60 degree measurement.

The sides of an isosceles right triangle are in the ratio,

1:1:√2

where √2 is the hypotenuse.

For the example, BC = 2√2, then AC = 2√2  x √2 = 4.

Therefore, the three pairs are;

1. (AB = 6, BC = 6)

5. (AB = 4, AC = 4√2)

6.(BC = 2√2, AC = 4).

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The complete question is attached below:

2.64 is greater than 1.9

Answer: No

Step-by-step explanation: Ratios can be expressed as fractions. The ratio of 4:3 = 4/3, and 18:15 = 18/15. If you multiply the numerator and denominator by 5 (to get the same denominator as 18/15), you get 20/15.

20/15 doesn't equal 18/15.

Answer:

The mistake he made was not distributing the 1/4 to all the terms in the parentheses. It should've instead become 1/4x + 3, which would then lead to a different answer

Answer:

He forgot to divide 12 by 4.

Step-by-step explanation:

1/4(x + 12) = 2

1/4(x) + 1/4(12) = 2

x/4 + 12/4 = 2

x/4 + 3 = 2

x/4 = -1

x = -1/4

Answer: 125.00$

Step-by-step explanation:

the answers in the question

Answer: $62.50

Step-by-step explanation:

125/2=62.50

Let W = width of rectangle

Let W + 2 = length of rectangle = L

Perimeter = 2L + 2W

         56 = 2L + 2W

     since L = W + 2, we can substitute and solve

         56 = 2(W + 2) + 2W

         56 = 2W + 4 + 2W

         56 = 4W + 4

         52 = 4W

          W = 13

      the length 2 more than 13, which is 15

Area = L • W

       = 15 • 13

      = 195

Yes, the room heater will fit into the robust box, which is 45 cm in width and 90 cm in height.

The cylindrical, which is frequently a lobed solid, comprises one of the most simple curvature geometric forms. In simple geometry, it is known as a prism with a circle as its basis. The term "cylinders" is also used to refer to an infinitely curved surface in a number of modern domains of topology and geometries. A "cylinder" is a two half object made up of curved surfaces with circle tops and bases. A cylinder is a two half solid figure with two bases that are both similar circles connected at its height, which is controlled by the separation of the legs from the center. Cans of iced drinks and the wicks from toilet paper are example of cylinders.

given

r = d/2 = 40/2 = 20 cm

v = pi *r*r*h

100 = 3.14 * 20*20 *h

100 = 1256*h

h = 0.08 cm

strong box = surface area of cuboid = 45 * 90

= 4050 cm2

surface area of water heater = A=2πrh+2πr2=2·π·20·0.08+2·π·202

≈2523.3

Yes, the room heater will fit into the robust box, which is 45 cm in width and 90 cm in height.

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The final expression of the simplified version is 28x + 8y + 2.

We know that, to simplify means to obtain the lowest possible form of the of the expression. The expression is written in its simplest form  when there are no more ambiguities left in the way that it is written.

Given the expression;

-2(3x + 12y - 5 - 17x - 16y + 4)

We can now expand the expression to have;

-6x - 24y + 10 + 34x + 32y - 8

This could further simplify to

-6x + 34x  - 24y + 32y + 10 - 8

To obtain the  final simplified expression, we have;

28x + 8y + 2

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