Which of the following expressions is equivalent to (x−3)(7x+2)

Answer:

slope=3

Step-by-step explanation:

Answer:

Which earns more interest = Account B

How much more = $1,306.60

Step-by-step explanation:

Given;

Principal P = $2,000

Interest rate r = 5% = 0.05

Time t = 20 years

For account A;

Simple interest = P×r×t

Substituting the values;

Simple interest = 2,000 × 0.05 × 20 = $2000

Interest on account A = $2,000

For account B;

Compound interest

Final amount = P(1 + r)^t

Since it's compounded annually

Substituting the values;

Final amount = 2000(1+0.05)^20

Final amount = $5306.60

Interest = final amount - principal = $5306.60 -$2000

Interest = $3,306.60

Therefore, account B earns more interest.

Difference = account B interest - account A interest

Difference = $3,306.60 - $2,000

Difference = $1,306.60

Chay can use 3 bags of mulch per flower bed.

Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?The number of bags of mulch that can be used in each flower bed can be found by dividing the total number of bags of mulch by the number of flower beds, as given by the problem.Let X be the number of bags of mulch used in each flower bed. Then, the following equation can be written:Total number of bags of mulch = X × number of flower beds (20)Or, 55 = 20XDividing both sides of the equation by 20, we get: X = 55/20X = 2.75.Therefore, Chay can use 2.75 bags of mulch in each flower bed. However, since we cannot have a fraction of a bag of mulch, she would have to round up to 3 bags of mulch per flower bed to ensure each flower bed has enough mulch.

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The scale factor in this polygon comparison can easily be found as 1.5 because when we divide the length of for example side PS (3 units) by the size of side AD (its pre-image which measures 2 units) we get:

3/2 = 1.5

We could try also the same with any other of the sides in image and pre-image, like PQ comared to AB. PQ has a length of 1.5 units, while AB has a length of 1 unit. Then:

PQ/AB = 1.5/1 = 1.5

It is the graph of f(x) = x^2 vertically compressed, and then translated 3 units up and 5 units to the right.

Transformation is a process of changing the size and shape of an object. The given graph is a graph of quadratic function with parent function x².

According to the graph shown the resulting parent function has been shifted horizontally to the right by 5 units to produce g(x) = f(x) - 5

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Answer:

x = 4

Step-by-step explanation:

assuming you require the equation of the line passing through the given point.

A line with an undefined slope is a vertical line parallel to the y- axis with equation

x = c ( c is the value of the x- coordinates the line passes through )

the line passes through (4, - 3 ) with x- coordinate 4 , then

x = 4 ← equation of line

Answer:

WL = DC

Step-by-step explanation:

if you move the triangles to connect to eachother it would show that they are equal.

Answer:

45 newtons = 10.1164024 pounds/force

Step-by-step explanation:

Hope this helps!!!

The required mass of Aunt jane is given as 4.5 kilograms.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given that, Aunt Jane weighs 45 newtons.
So,
F = 45

Since F = Mg,
Mg = 45
M(10) = 45
N = 4.5 kilograms,

Thus, the required mass of Aunt jane is given as 4.5 kilograms.

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Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

2.4*18 = $43.2

stock price is $43.2

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Answer:

A. True

Step-by-step explanation:

7 divided by 1/4 flip it it equals 28

7 x 4 -= 28

The result of 626362737287387287373 times 77474747743874837847348734463763786837 represented in scientific notation is 4.80498727057566113882339366151788673587 × 10⁹⁵.

The number you provided in your question can be represented in scientific notation. Scientific notation is a way of expressing numbers in a compact form that is especially useful for very large or very small numbers. The number you provided in your question can be represented in scientific notation as:

7.7474747743874837847348734463763786837 × 10⁷⁷

And 626362737287387287373 can be represented as:

6.26362737287387287373 × 10¹⁸

The product of these two numbers can be calculated as follows:

(7.7474747743874837847348734463763786837 × 10⁷⁷) × (6.26362737287387287373 × 10¹⁸) =

= (7.7474747743874837847348734463763786837 × 6.26362737287387287373) × (10⁷⁷ × 10¹⁸) =

= 48.0498727057566113882339366151788673587 x 10⁹⁵

So, the result of 626362737287387287373 times 77474747743874837847348734463763786837 in scientific notation is:

4.80498727057566113882339366151788673587 × 10⁹⁵

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Using implicit differentiation, it is found that the height is changing at a rate of -0.875 m/sec.

The volume of a rectangular solid of length l, width w and height h is given by:

\(V = lwh\)

Applying implicit differentiation, the rate of change of the volume is given by:

\(\frac{dV}{dt} = wh\frac{dl}{dt} + lh\frac{dw}{dt} + lw\frac{dh}{dt}\)

In this problem:

Then:

\(\frac{dV}{dt} = wh\frac{dl}{dt} + lh\frac{dw}{dt} + lw\frac{dh}{dt}\)

\(-2  = 2(1.5)(0.25) + 2(1.5)(0.25) + 2(2)\frac{dh}{dt}\)

\(4\frac{dh}{dt} = -3.5\)

\(\frac{dh}{dt} = -\frac{3.5}{4}\)

\(\frac{dh}{dt} = -0.875\)

The height is changing at a rate of -0.875 m/sec.

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Answer: Do you need any help?

(I apologize because I didn’t see your full question before.$

Recall the double angle identity:

\(\sin2\theta=2\sin\theta\cos\theta\)

With \(\theta\) measuring between 0º and 90º, we know \(\cos\theta>0\). So from the Pythagorean identity, we get

\(\sin^2\theta+\cos^2\theta=1\implies\cos\theta=\sqrt{1-\sin^2\theta}=\dfrac{\sqrt{21}}5\)

Then

\(\sin2\theta=2\dfrac25\dfrac{\sqrt{21}}5=\dfrac{4\sqrt{21}}{25}\)

Answer:

C

Step-by-step explanation:

Edge2021

Answer:

-10

Step-by-step explanation:

If the axis of symmetry is at x = -3 and one of the zeros is at 4 then the other zero must be at equal distance from the axis , but on the other side, so will be at -10.

Answer:

–10

Step-by-step explanation:

got it right

Answer:

x=9

Step-by-step explanation:

It’s a ratio.

2/6=5/(6+x)

cross-multiply

12+2x=30

2x=30-12

2x=18

x=9

Or even more simply:

2/6=3/x

2x=18

x=9

Answer:

R

Step-by-step explanation:

-1 is exactly between 0 and -2, meaning that the answer is R.

R is the right answer

The volume of the composite figure in this problem is given as follows:

76 ft³.

The volume of a rectangular prism, with dimensions defined as length, width and height, is given by the multiplication of these three defined dimensions, according to the equation presented as follows:

Volume = length x width x height.

The figure in this problem is composed by two prisms, with dimensions given as follows:

Hence the volume is given as follows:

2 x 6 x 3 + 2 x 4 x 5 = 76 ft³.

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Answer:

a) sin x

b) cos² x

c) sin²x

Step-by-step explanation:

Step(i):-

Given that the trigonometric equation

      \(tan(\frac{x}{2} ) + cos x tan (\frac{x}{2} ) = sin x\)

we have to use trigonometric formulas

  \(1-cosx = 2sin^{2} (\frac{x}{2} )\)

 \(sin x = 2 sin \frac{x}{2} cos\frac{x}{2}\)

now

              \(tan\frac{x}{2} = \frac{sin\frac{x}{2} }{cos\frac{x}{2} }\)

                       = \(\frac{2sin(\frac{x}{2} ) sin\frac{x}{2} )}{2sin\frac{x}{2} cos\frac{x}{2} }\)

                       = \(\frac{2sin^{2} (\frac{x}{2} ) )}{sinx }\)

                      = \(\frac{1-cosx}{sinx}\)

Step(ii):-

\(tan(\frac{x}{2} ) + cos x tan (\frac{x}{2} ) = \frac{1-cosx}{sinx} +cosx \frac{1-cosx}{sinx}\)

                                = \(\frac{1-cosx +cosx(1-cosx)}{sinx}\)

                               = \(\frac{1-cosx+cosx-cos^{2} x}{sinx}\)

                               = \(\frac{1-cos^{2} x}{sinx}\)

                               = \(\frac{sin^{2}x }{sinx}\)

                               = sinx

Answer:

12..........'.............

Answer:

Yeah the Answer is 12

Step-by-step explanation:

Answer:

Step-by-step explanation:

y-12=-2(x+2)

y=-2x-2+12

y=-2x+8

Answer: d = 14/5

Step-by-step explanation:

14 + d = 6d

14 = 5d

14/5 = d

Check Work:

14 + (14/5) = 6(14/5)

16.8 = 16.8

Computing the total number of counters in the class as 1,108, the mean number of counters that the 46 children have is 24.

The mean refers to the average value.

The average is the quotient of the total value divided by the number of items in the data set.

The number of boys in the class = 26

The number of girls in the class = 20

The total number of boys and girls in the class = 46

The mean number of counters that the boys have = 28

The total number of counters that the boys have = 728 (28 x 26)

The mean number of counters that the girls have =19

The total number of counters that the girls have = 380 (19 x 20)

The total number of counters that the class has = 1,108 (728 + 380)

The average or mean number of counters in the class = 24 (1,108 ÷ 46)

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Answer:

7 hours and 9 minutes

Step-by-step explanation:

4 hours and 33 minutes is 273 minutes

7 m/s —> 273 minutes

11 m/s —> M

Criss cross to get M

11x273= 7M

3003=7M

M=429 minutes

==> 429 minutes is 7 hours and 9 minutes

Algorithm 2 is more efficient than Algorithm 1 because it only needs to loop through the numbers up to upper/11 instead of upper. This means that it will take fewer iterations to reach the result, making it more efficient than Algorithm 1.

Algorithm 1 will make upper/11 more checks than Algorithm 2, resulting in a slower runtime. Additionally, Algorithm 2 avoids the need to check the modulus of each number, further reducing the computation time. Algorithm 2 only needs to loop through the multiples of 11, which are always 11 apart from each other, so it can skip over the other numbers between them.

This makes Algorithm 2 much faster than Algorithm 1 because it is only looping through a fraction of the numbers.

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Answer:

if 25c + 15d = 0, then d = -25/15c

Step-by-step explan

just yes, that

Answer:

y=-1/2x+1

Step-by-step explanation:

2x+4y=16

4y=-2x+16

y=-1/2x+4

y=mx+b, m=-1/2, x=4, y=-1

-1=(-1/2)(4)+b

-1=-2+b

1=b

y=-1/2x+1