Select all equations that are true.
A. 63 x 103 = 63,000
O
B. 63 x 10,000 = 630,000
C. 63 x 102 = 630
O
D. 63 x 1,000 = 6,300
O
E. 63 x 105 = 6,300,000

Answer:

Step-by-step explanation:

\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^4\\\\=4[cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^3\; \frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)] --- eq(1)\)

Lets look at the derivative part:

\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)] \\\\= \frac{d}{dx}[cos(3x^2) \sqrt[3]{5x^3 -1} ] + \frac{d}{dx}[sin(4x^3)]\\\\=cos(3x^2) \frac{d}{dx}[ \sqrt[3]{5x^3 -1} ] + \sqrt[3]{5x^3 -1}\frac{d}{dx}[ cos(3x^2) ] + cos(4x^3) \frac{d}{dx}[4x^3]\\\\=cos(3x^2) \frac{1}{3} (5x^3 -1)^{\frac{1}{3} -1} \frac{d}{dx}[5x^3 -1] + \sqrt[3]{5x^3 -1} (-sin(3x^2))\frac{d}{dx}[ 3x^2] + cos(4x^3)[(4)(3)x^2]\)

\(=\frac{cos(3x^2) 5(3)x^2}{3(5x^3 - 1)^{\frac{2}{3} }} -\sqrt[3]{5x^3 -1}\; sin(3x^2) (3)(2)x + 12x^2 cos(4x^3)\\\\=\frac{5x^2cos(3x^2) }{(5x^3 - 1)^{\frac{2}{3} }} -6x\sqrt[3]{5x^3 -1}\; sin(3x^2) + 12x^2 cos(4x^3)\)

Substituting in eq(1), we have:

\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^4\\\\=4[cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^3\; [\frac{5x^2cos(3x^2) }{(5x^3 - 1)^{\frac{2}{3} }} -6x\sqrt[3]{5x^3 -1}\; sin(3x^2) + 12x^2 cos(4x^3)]\)

The solution to the system of inequalities is (-3.375, 1.75)

The system of inequalities is given as:

3y > 2x+12

2x+y < -5

Next, we plot the graph of the system using a graphing tool

From the graph, both inequalities intersect at

(-3.375, 1.75)

Hence, the solution to the system of inequalities is (-3.375, 1.75)

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Answer:

1.25

Step-by-step explanation:

Lets sum up the values

24

and then divide by their number (8)

we get 3 on average

now let's see how much each data point varies from that average (this is always a positive value)

1, 1, 2, 1, 1, 1, 3, 0

Let's sum and divide by 8 again

10/8 = 1.25

(would really, reallly appreciate the brainliest)

Answer: y = (6/5)x - 3

Step-by-step explanation:

In order to find a slope perpendicular to a line, the slope of the perpendicular line has to be the opposite reciprocal of the slope of the original line. For example, if the line had slope 2, then the perpendicular line would have to be -1/2. The y-intercept does not matter for perpendicular lines.

In this equation, we have the equation 5x + 6y = -18, and we can simplify it by transferring it to slope intercept form, shown in these steps:

5x + 6y = - 18

6y = -5x - 18

y = (-5/6)x - 3

Now that we have our slope, we just need to change it to be the opposite reciprocal, which is just 6/5, thus making our equation y = (6/5)x - 3.

Answer: There isn't enough information to say whether the triangles are congruent or not.

======================================================

Explanation:

Angles DCE and BCA are congruent because they are vertical angles.

I've marked these angles in blue.

In red, I've marked angles DEC and ABC. These are another congruent pair of angles because of the parallel lines DE and AB. Specifically, these are congruent alternate interior angles. The other pair of congruent alternate interior angles are the angles marked in green.

This shows that the triangles are similar. The question we want to answer is: are the triangles congruent?

The answer is unfortunately "cannot be determined". Why is this? Because of the placement of those "6"s. We would need to move one of the "6"s such that they must lay on the same line.

For instance, we would need to move the 6 on BC to AC. If we knew AC = 6, then we could conclude that the triangles are congruent by the ASA congruence theorem. However, we don't know any info about AC so we simply don't have enough information. The triangles may be congruent or they may not be.

If your teacher only gives you two options of "congruent" vs "not congruent", then I'd go for "not congruent". But to me, the best option is "not enough information".

Work Shown:

21/35 = (7*3)/(7*5) = 3/5

The number of square inches of cardboard that are needed to make one

the container is 18.

We have,

The volume of the triangular prism.

= Area of the triangle x height

Now,

Height = 6 in

And,

To find the area of a triangle, we can use Heron's formula.

A = √(s(s-a)(s-b)(s-c))

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case, the side lengths of the triangle are 3.2 in, 3.2 in, and 2 in.

Let's calculate the area using Heron's formula:

s = (3.2 + 3.2 + 2) / 2 = 4.2

A = √(4.2(4.2 - 3.2)(4.2 - 3.2)(4.2 - 2))

A = √(4.2 x 1 x 1 x 2.2)

A = √(9.24)

A ≈ 3.04 square inches

Now,

The volume of the triangular prism.

= Area of the triangle x height

= 3.04 x 6

= 18.24 in²

Now,

Area of one cardboard.

= 1² in²

= 1 in²

Now,

The number of square inches of cardboard that are needed to make one

container.

= The volume of the triangular prism / Area of one cardboard

= 18.24 in² / 1 in²

= 18.24

= 18

Therefore,

The number of square inches of cardboard that are needed to make one

the container is 18.

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The equivalent proportional relationships in this problem are given as follows:

In a proportional relationship, the output variable y is obtained from the multiplication of the input variable x and the constant of proportionality k, by the rule presented as follows:

y = kx.

Proportional relationships are said to be the same when they have the same constant of proportionality k.

For each relationship in this problem, the constants are given as follows:

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Answer:

18.85

Step-by-step explanation:

1. Formula for finding circumference is C=2πr.

2. Plug in the numbers. C=2(3.14)(3)

3. Multiply. 2 x 3.14 = 6.28       6.28 x 3 = 18.84

4. Answer is 18.84 (or 18.85 if rounding)

Answer:

Step-by-step explanation:

To prove that the sum of the angles of any triangle PQR is two right angles, we can use the fact that the sum of the angles of any polygon with n sides is (n-2) times the sum of its interior angles.

Since a triangle has three sides, it follows that the sum of its interior angles is (3-2) times the sum of its interior angles, which simplifies to:

Sum of interior angles of triangle PQR = 1 times sum of interior angles of triangle PQR.

Therefore, we can write:

Sum of interior angles of triangle PQR = angle P + angle Q + angle R

Now, draw a line segment from one vertex of the triangle, say vertex P, to a point on the opposite side, forming two angles with the original angles of the triangle as shown in the figure below.

      Q

      |\

      | \

      |  \

      |   \

      |    \

      |     \

      |      \

     P-------R

Since the line segment divides the triangle into two smaller triangles, we can apply the fact that the sum of the angles of any polygon with n sides is (n-2) times the sum of its interior angles to each of the smaller triangles.

Thus, in triangle PQR, we have:

angle P + angle Q + angle R = (angle P + angle X + angle Q) + (angle R + angle Y + angle X)

Simplifying, we have:

angle P + angle Q + angle R = angle P + angle Q + angle R + angle X + angle Y

Subtracting angle P + angle Q + angle R from both sides, we get:

angle X + angle Y = 180°

This means that the sum of the two angles formed by the line segment is 180 degrees, or they are a pair of supplementary angles.

Since the sum of the angles of the original triangle is equal to the sum of the angles of the two smaller triangles plus the sum of the two angles formed by the line segment, we have:

angle P + angle Q + angle R = (angle P + angle X + angle Q) + (angle R + angle Y + angle X) + angle X + angle Y

Simplifying, we get:

angle P + angle Q + angle R = 2(angle P + angle Q + angle R)

Therefore, the sum of the angles of any triangle PQR is two right angles, or 180 degrees.

Answer:

2.2

..................

120/55

If the number of months when she sold at least 16 cars . Sue's total pay  for the year is £38,110.

Total pay is the overall estimated amount a person is expected to receive.

First step is to calculate her salary for 12 months

Salary = £1410 x 12 months

Salary = £16,920

Second step is to calculate her profit

Profit =  Total income for the company - Total cost to the company

Profit  =  £549,000 - £473,500

Profit = £75500

Third step is to calculate her income from profit

Income from profit = 26% × £75500

Income from profit = £19630

Fourth step is to calculate her bonus income

Bonus income = 4 × 390

Bonus income = £1560

Fifth step is to calculate her total pay

Sue's total pay = £16,920 + £19,630 + £1,560

Sue's total pay = £38,110

Therefore her total pay is the amount of  £38,110.

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Answer:

x ≥ 1.5

Step-by-step explanation:

2x - 3 ≥ 0 ( add 3 to both sides )

2x ≥ 3 ( divide both sides by 2 )

x ≥ 1.5

Answer:0

Step-by-step explanation: took the quiz

Answer: i think its D

Step-by-step explanation:

Answer:

65 packets and 4 stamps

Step-by-step explanation:

The first thing we see is that the stamps are mixed... which means they must be added.

208 + 186 = 394 stamps total

Now we see that each packet has 6 stamps. So we divide the number of stamps in total by 6.

394/6= 65.66667

Now we see from that number that the stamps can't quite make 66 packets, so there are 65 packets.

Now we find the number of stamps left over by multiplying the number of packets by 6.

65 x 6= 390

Now we take the total number of stamps minus the number of stamps in packets.

394 - 390 = 4

Therefore, there are four stamps left over.

Hope this helps!

Answer:

28 words Maria got right

Step-by-step explanation:

70% of total words Maria got right

Therefore:

\(\frac{70}{100} *40= 28\)

AS per the concept of Compound interest,

(a), The amount owed at the end of 1 year is $8,400

(b) The amount owed at the end of 2 year is $ 9,408

Compound interest:

The general formula to calculate the compound interest is

A = P(1 + r/n)ⁿˣ

where

A represents Accrued amount (principal + interest)

P represents Principal amount

r represents Annual nominal interest rate as a decimal

n represents number of compounding periods per unit of time

x = time

Given,

Suppose Charmaine borrows $7500 at an interest rate of 12% compounded each year. Assume that no payments are made on the loan.

Here we need to find the following,

a)the amount owed at the end of 1 year.

b) the amount owed at the end of 2 year.

From the given details we know that the value of

Principal amount = $7,500

Interest rate = 12%

Part a) the amount owed at the end of 1 year is calculated as,

Here we have to convert R as a percent to r as a decimal

r = R/100

r = 12/100

r = 0.12 rate per year,

Then solve the equation for A

A = 7,500.00(1 + 0.12/1)(1)(1)

A = 7,500.00(1 + 0.12)(1)

A = $8,400.00

Therefore, the amount owed at the end of 1 year is $8,400.

Part b) The amount owed at the end of 2 year is calculated as,

In this one the value of principal amount interest rate are same but the value of year only differs as 2,

So, the amount is

=>A = 7,500.00(1 + 0.12/1)(1)(2)

=> A = 7,500.00(1 + 0.12)(2)

=> A = $9,408.00

Therefore, the amount owed at the end of 2 years is $9,408.

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A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

Answer:

Step-by-step explanation:

its is 14

The value of x in the equation 3/5(4x+1)=3(2-4x)+9 is

Algebraic equation, statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations, namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root. Examples are x3 + 1 and (y4x2 + 2xy – y)/(x – 1) = 12.

3/5(4x+1)=3(2-4x)+9

multiply through by 5

3( 4x+1) = 15(2-4x) + 45

12x +3 = 30-20x +45

collect like terms

12x+20x.= 30+45-3

32x = 72

x = 72/32

x = 2 8/32

x = 2 1/4

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Answer:

y=-1/4x+3​ is the answer.

Mark as brainlist pls pls pls pls pls pls pls pls!!!!!!!!!!

Answer:

8.2429

Step-by-step explanation:

Answer:

8.4249

Step-by-step explanation:

Use calculator if you have.

In the quadrilateral ABCD and LBNM the corresponding angles and line segments are as follow,

∠A = ∠L, ∠D =∠M , ∠C = ∠N , and

AB = LB , CD = NM ,  DA = ML.

Quadrilateral ABCD rotates 180 degrees around point B,

New quadrilateral formed named LBMN

The corresponding angle after rotation of 180 degrees around B is equals to,

B remain at same position.

A rotates and point L take the position of A.

D rotates and point M take the position of D.

C rotates and point N take the position of C.

Corresponding angle to A is angle L.

Corresponding angle to D is angle M.

Corresponding angle to C is angle N.

Similarly corresponding segments are of ABCD and LBNM are

Line segment AB corresponds to line segment LB.

Line segment CD corresponds to line segment NM

Line segment DA corresponds to line segment ML.

Therefore, in the quadrilateral the corresponding angles and line segments are ∠A = ∠L, ∠D =∠M , ∠C = ∠N , AB = LB , CD = NM , and DA = ML.

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About 88.49% of cellphone plans have charges that are less than $83.60.

To determine the percentage of plans that have charges less than $83.60, we need to find the z-score (z) using the given mean and standard deviation, and then look up the corresponding area under the normal distribution curve.

z = (x – μ) / σ

where x = 83.60, mean, μ =  62 and standard deviation, σ = 18

Thus, the z-score of $83.60 is:

z = (83.60 - 62) / 18 = 1.2

Using a standard normal distribution table, we can find that the area to the left of z = 1.20 is 0.8849 or 88.49% (check image attached).

Therefore, about 88.49% of cellphone plans have charges that are less than $83.60.

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Answer: 4

Step-by-step explanation: how i know by guessing

Answer:

C

Step-by-step explanation:

Since angles x and y lie on a single straight line,

∠x +∠y= 180° (adj. ∠s on a str. line)

Given that ∠x= 42°,

42° +∠y= 180°

∠y= 180° -42° (-42° on both sides)

∠y= 138° (simplify)

Thus, option C is correct.

Answer:

150mm*300mm is equal to 45000mm and 1m is equal to 1000mm therefore 45000mm/1000 is equal to 45m

Step-by-step explanation:

she need 45 m ribbon to put around dog picture

Answer:

42

Step-by-step explanation:

37-79=42

Answer:

51-32+14=33

33÷3=11

answer is 11