Can someone help I am stuck. Which is a factor of both terms of the expression 2d−10?

Answer:

y=0.1(3)^x

Step-by-step explanation:

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-2a(a - d) + 2a(2a - 3d)

(-2a * a) + (-d * -2a) + (2a * 2a) + (2a * -3d)

-2a^2 + 2ad + 4a^2 - 6ad

(4a^2 - 2a^2) + (2ad - 6ad)

2a^2 - 4ad

---The above expression is simplified, though not fully. The below expression is fully simplified.

2a(a - 2d)

Hope this helps!

43% of elementary students chose something other than blue, red, or yellow as their favorite color.

Blue: 24%

Red: 17%

Yellow: 16%

Total: 24% + 17% + 16% = 57%

Percentage chose something other:

100% - 57% = 43%.

Therefore, 43% of elementary students chose something other than blue, red, or yellow as their favorite color.

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The answer is not one of the options listed. The closest option is (a) 9 * 8 * 7 * 5, but this does not take into account the requirement that the last digit must be odd.

To solve this problem, we can use the multiplication principle, which states that if there are m ways to do one thing and n ways to do another thing, then there are m * n ways to do both things together.

First, we need to choose the last digit of the PIN to be odd. There are 5 odd digits to choose from (1, 3, 5, 7, and 9).

Next, we need to choose the first digit of the PIN. Since it cannot be the same as the last digit, there are only 9 choices left (since 0 is allowed as the first digit).

For the second digit, we can choose from 8 digits (we can't choose the first digit or the last digit, which leaves 8 choices).

For the third digit, we can choose from 7 digits (we can't choose the first digit, the second digit, or the last digit, which leaves 7 choices).

Therefore, the total number of choices for the PIN is:

5 * 9 * 8 * 7 = 2,520

So the answer is not one of the options listed. The closest option is (a) 9 * 8 * 7 * 5, but this does not take into account the requirement that the last digit must be odd.

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The derivative dy/dx of the equation ysin(x^2) = xsin(y^2) is given by (sin(y^2) - ycos(x^2)2x) / (sin(x^2) - 2yxcos(y^2)).

In the given equation, y and x are both variables, and y is implicitly defined as a function of x. To find dy/dx, we differentiate each term using the chain rule and product rule as necessary.

Differentiating the left-hand side of the equation, we apply the product rule to ysin(x^2). The derivative of ysin(x^2) with respect to x is dy/dxsin(x^2) + ycos(x^2)*2x.

Differentiating the right-hand side of the equation, we apply the product rule to xsin(y^2). The derivative of xsin(y^2) with respect to x is sin(y^2) + x*cos(y^2)2ydy/dx.

Now we have two expression for the derivative of the left and right sides of the equation. To isolate dy/dx, we can rearrange the terms and solve for it.

Taking the derivative of ysin(x^2) = xsin(y^2) with respect to x using implicit differentiation yields:
dy/dxsin(x^2) + ycos(x^2)2x = sin(y^2) + xcos(y^2)2ydy/dx.

By rearranging the terms, we can solve for dy/dx:
dy/dx * (sin(x^2) - 2yxcos(y^2)) = sin(y^2) - y*cos(x^2)*2x.

Finally, we can obtain the value of dy/dx by dividing both sides by (sin(x^2) - 2yxcos(y^2)):
dy/dx = (sin(y^2) - ycos(x^2)2x) / (sin(x^2) - 2yxcos(y^2)).

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To find a plane containing the point (-5, 6, -6) and the line defined by parametric equations x(t) = 7 - 5t, y(t) = 3 - 6t, and z(t) = -6 - 6t, we can use the point-normal form of the equation of a plane.

The equation of a plane in point-normal form is given by Ax + By + Cz + D = 0, where (A, B, C) is the normal vector to the plane, and (x, y, z) are the coordinates of a point on the plane. We can determine the normal vector by taking the cross product of two direction vectors in the plane.

The direction vector of the line can be obtained by taking the coefficients of t in the parametric equations, which gives us (-5, -6, -6). We can choose any two non-parallel direction vectors in the plane, for example, (1, 0, 0) and (0, 1, 0). Taking the cross product of these two vectors, we get the normal vector (0, 0, -1).

Now, we can substitute the values of the point (-5, 6, -6) and the normal vector (0, 0, -1) into the point-normal form equation. This gives us 0*(-5) + 0*6 + (-1)*(-6) + D = 0, which simplifies to D = -6. Thus, the equation of the plane containing the point (-5, 6, -6) and the given line is 0*x + 0*y - z - 6 = 0, or simply -z - 6 = 0.

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Answer:

4

Step-by-step explanation:

8x + 15 = 5.5x +25

so 2.5x =10

x=4

Answer:

x ∈ (0,75; +∞) and x∈ (1; +∞)

Step-by-step explanation:

1) 3 - 4x < 0

-4x < -3 / : (-4)

x > 0,75

x ∈ (0,75; +∞)

2) 2x - 4 > -2

2x > -2 + 4

2x > 2 / : 2

x > 1

x∈ (1; +∞)

The no. of ways to select the 2 blue balls and 2 orange balls from the urn is 0.4545

No. of Blue balls in the urn = 6

No. of Orange balls in the urn = 6

Total no. of balls in the urn = No. of blue balls + No. of orange balls

                                            = 6 + 6

                                           = 12 balls

No. of blue balls to be selected = 2

No. of orange balls to be selected = 2

No. of balls to be selected = 4

The total. no of ways 4 balls can be selected =\(^{12}C_{4}\)

The No. of ways 2 blue balls can be selected = \(^{6}C_{2}\)

The No. of ways 2 orange balls can be selected =    \(^{6}C_{2}\)

Therefore, No. of ways to select 2 blue balls and 2 orange balls from the urn

                      =  \(^{6}C_{2} \times ^{6}C_{2} /^{12}C_{4}\)

Probability = No. of ways to select blue balls x No. of ways to select orange balls / Total no. of ways to select balls

                         P = (15×15)/495

                             = 225 / 495

                          P = 0.4545

Therefore,  the no. of ways to select blue and orange balls is 0.4545

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Step-by-step explanation:

1/5t+2=17

= 1/5t=15

= t=15×5

= t=75

Answer:

t=75

Step-by-step explanation:

1/5t+2=17

1/5t=17-2

1/5t=15

t=15×5

t=75

The new store will have a profit of $3400 after its third month in business.

The correct option is D.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

George has opened a new store, and he is monitoring its success closely.

He has found that this store’s revenue each month can be modeled by r(x)=x²+5x+14 where x represents the number of months since the store opens the doors and r(x) is measured in hundreds of dollars.

He has also found that his expenses each month can be modeled by c(x)=x²−3x+4 where x represents the number of months the store has been open and c(x) is measured in hundreds of dollars.

(r−c)(x) = x²+5x+14 -x²+3x-4

(r−c)(x) = 8x+10

(r−c)(3) = 24+10 = 34 in hundreds of dollars.

Therefore, the new store has profit of $3400.

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Answer:

32 m

4 sec

Step-by-step explanation:

just trust me i did the math

Answer:

i agree with the other person

Step-by-step explanation:

Answer: -34

Step-by-step explanation:

first step: subtract 22 from both sides

+n=-12-22

n=-34

Answer:

-34

Step-by-step explanation:

Thats the correct answer . Im rlly good im Math :) I hope you get a good grade.

Answer:

\(\frac{11}{20}\)     Eleven out of 20 guests order the signature dish

Step-by-step explanation:

55% of a population can also be expressed in math terms as :

\(\frac{55}{100} =\frac{11}{20}\)

when we reduce the fraction to lower terms.

That is: 11 out of 20 guests order the signature dish

Answer:

Step-by-step explanation:

(x, y) = ( cos 45, sin 45) =

The correct option is A

Using the confidence interval, the margin of error is 0.02.

In the given equation we have to find the margin of error.

The resulting confidence interval for the proportion of students applying for college is (0.65,0.69).

Let p = population proportion of students applying for college

P = Sample proportion of students applying for college

ME = margin of error

So the confidence interval

CI = (P-ME, P+ME)

From the given question;

(P-ME, P+ME) = (0.65,0.69)

So lower bound= P-ME = 0.65............................(1)

Upper Bound = P+ME = 0.69............................(2)

Simplifying the Equation 1 and 2

Add equation 1 and 2 we get

2P = 1.34

Divide by 2 on both side we get

P = 0.67

Putting the value of P in the equation 2

P+ME = 0.69

0.67+ME=0.69

Subtract 0.67 on both side we get

ME = 0.02

Hence, the margin of error is 0.02.

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The \(1\frac{2}{3}\)   flour should Heena take out of the bowl.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

Heena is baking a cake that requires two and one-half cups of flour. Heena poured four and one-sixth cups of flour into a bowl.

According to given question we have

Flour should Heena take out of  the bowl

=

\(4\frac{1}{6} -2\frac{1}{2} \\\\=\frac{25}{6} -\frac{5}{2} \\\\=\frac{5}{3}\\ \\=1\frac{2}{3}\)

Therefore, the \(1\frac{2}{3}\)   flour should Heena take out of the bowl.

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Answer:

Amy has 12 5¢ coins

Step-by-step explanation:

Let x represent 20¢ coins and y represent 5¢ coins.

Amy has four more 20¢ coins than 5¢ coins. Hence:

\(x=y+4\)

And the total value of all her coins is $3.80. Thus:

\(0.2x+0.05y=3.8\)

This yields a system of equations:

\(\displaystyle \begin{cases} x=y+4 \\ 0.2x+0.05y=3.8\end{cases}\)

We can solve by substitution. Substitute the first equation into the first:

\(\displaystyle 0.2(y+4)+0.05y=3.8\)

Distribute:

\(\displaystyle 0.2y+0.8+0.05y=3.8\)

Combine like terms:

\(\displaystyle 0.25y = 3\)

And divide both sides by 0.25. Hence:

\(y=12\)

Thus, Amy has 12 5¢ coins.

Using the first equation:

\(x=y+4\)

Substitute:

\(x=(12)+4=16\)

Thus, Amy has 16 20¢ coins.

In conclusion, Amy has 12 5¢ coins and 16 20¢ coins.

The final answer is that the probability of getting a cookie with no more than 5 chips is 0.2851.

After reading the question , it seems that it follows the Poisson Distribution of Univariate Probability Distribution. The pdf of this distribution is given by-

P(X=x) = \(e^{-λ}\)\(\frac{λ^{x} }{x!}\) where λ is the mean value and x is the random variable.

Now, here λ = 7 and we have to find P(X<=5).

So, P(0)=     e^{-7}\frac{λ^{0} }{0!}

           = e^(-7)

            = 0.0009

    P(1)= e^{-7}\frac{λ^{1} }{1!}

         = 0.0009 x 7

         = 0.0063.

    P(2)= e^{-7}\frac{λ^{2} }{2!}

          =(0.0009 x 49)/2

            = 0.0220

In a similar manner , P(3), P(4) And P(5) can be calculated.

And , the P(getting a cookie with no more than 5 chips) = P(0) + P(1)+ P(2)+P(3)+P(4)+P(5)

This value comes out to be = 0.0009+0.0063+ 0.0220+ 0.0514+0.0900+0.1260 = 0.2966.

Hence, the probability of  getting a cookie with no more than 5 chips is 0.2966.

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The side of the square with area 169 mm² is 13 mm.

The side of the square and it's area are related to each other by the following relation -

Area = side². According to the known fact, all the sides of the square are same..

Keep the value of area in formula to find the value of the length of the side of the square

169 = side²

Side = ✓169

Taking square root of the value of area to find the value of the length of the side of the square

Side = 13 mm

Therefore, the length of the side of the square is 13 mm.

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Answer:

∠ G ≈ 8.3°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan G = \(\frac{opposite}{adjacent}\) = \(\frac{HI}{GI}\) = \(\frac{1.1}{7.5}\) , then

∠ G = \(tan^{-1}\) (\(\frac{1.1}{7.5}\) ) ≈ 8.3° ( to the nearest tenth )

Answer:

midpoint is the answer.....

Answer:

Midpoint

Step-by-step explanation:

It is in the center of where the two axis' meet.

1. 1\10

2. 1/4

3.16

Step-by-step explanation:

your welcome

The solution to the algebraic equation is x = 1.8

An algebraic equation or expression is any equation that contains unknown values, usually represented with alphabets or letter

Given:  2/3 = 1.2/x

2/3 = 1.2/x        cross multiply

2 × x = 3 × 1.2

2x = 3.6

x = 3.6/2 = 1.8

Therefore, the solution to the problem is x = 1.8, so the correction option is  B.

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Answer:

Answer Option 3

Step-by-step explanation:

Answer:

\(\large\boxed{\tt x = 47^{\circ}.}\)

Step-by-step explanation:

\(\textsf{We are asked to find the value of x.}\)

\(\textsf{We are given an angle with an arc measurement in between 2 \underline{chords}.}\)

\(\large\underline{\textsf{What is a Chord?}}\)

\(\textsf{A Chord is a line segment whose endpoints are \underline{on} the circle.}\)

\(\textsf{For our problem, we have 2 Chords that \underline{Intersect}.}\)

\(\textsf{Because the Intersection Point (Vertex) is inside the circle, we can identify x}\)

\(\textsf{using what we are given.}\)

\(\textsf{Intersecting Chords create an angle that is equal to half the sum of the 2 arcs.}\)

\(\underline{\textsf{Formatted into an equation;}}\)

\(\tt Angle = \frac{1}{2} (Arc \ 1 + Arc \ 2)\)

\(\textsf{We are given 2 out of 3 of these values, let's substitute them inside the equation.}\)

\(\tt 76^{\circ} = \frac{1}{2} (105^{\circ} + x \ (Arc \ 2))\)

\(\large\underline{\textsf{Solving;}}\)

\(\textsf{We should solve for x by simplifying the equation. Let's attempt to remove} \ \tt \frac{1}{2}\)

\(\textsf{from the equation by multiplying both sides of the equation by the reciprocal of}\)

\(\tt \frac{1}{2}. \ \textsf{Lastly, simplify then divide both sides of the equation by 2.}\)

\(\large\underline{\textsf{What is a Reciprocal?}}\)

\(\textsf{A Reciprocal is a fraction where the Numerator and Denominator are switched.}\)

\(\underline{\textsf{Multiply both sides of the equation by 2;}}\)

\(\textsf{2 is the reciprocal of} \ \tt \frac{1}{2} .\)

\(\tt 2 \times 76^{\circ} = 2 \times \frac{1}{2} (105^{\circ} + x)\)

\(\tt 152^{\circ} = 105^{\circ} + x\)

\(\underline{\textsf{Subtract 105 from both sides of the equation;}}\)

\(\tt 152^{\circ} - 105^{\circ}= 105^{\circ} - 105^{\circ} + x\)

\(\large\underline{\textsf{Hence;}}\)

\(\large\boxed{\tt x = 47^{\circ}.}\)

This is through the alternate interior angles theorem. Angles Q and T pair up as one alternate interior set of angles that are the same measure. The same thing applies to angles X and R.

The identical arrow markers on segments XQ and TR show that those segments are parallel. Segment TQ is one transversal cut (forming alternate interior angles Q and T). Segment XR is the other transversal cut (forming alternate interior angles X and R).

We could say "angle XRT" or "angle TRX" instead of "angle R", though its ideal to use shortcuts whenever possible. The same applies for the other angles as well.

The sampling procedure being used to collect completion time data in this scenario is based on paired samples or dependent samples.

In paired samples, each observation in one sample is uniquely linked or paired with an observation in the other sample. In this case, the workers are randomly selected, and each worker is assigned to use both production methods, one after the other. The completion time for each worker is measured under both methods, creating paired or dependent observations.

By using paired samples, the company can compare the completion times of the same workers using different production methods. This approach helps eliminate individual differences and other sources of variability among workers, focusing solely on the comparison between the two methods.

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Answer:

The polynomial is 2x^3 - 8x^2 - 24x

And we can factor out a 2x from each of the three terms:

2x(x^2 - 4x - 12)

Lastly, factor the remaining quadratic:

2x(x+(-2))(x+6)

And we have our answer:

a=2

b=-2

c=6

Let me know if this helps!

Answer:

a =2, b =2, and c = -6

Step-by-step explanation:

We factor the polynomial and then see which value corresponds to what.

2x^3-8x^2-24x

As we see it, all terms are factorable by 2x. So if we take out 2x from every term, we get

2x(x^2 - 4x - 12)

Now we factor the quadratic, which we can do mentally to get

2x(x+2)(x-6)

ax(x+b)(x+c)

Comparing that to ax(x+b)(x+c), we can tell that a =2, b =2, and c = -6.

The correct option is D. Asking 80 owners their attitude toward a new design would be an example of a sample.

If a target population is defined as all 2,134 pickup truck owners residing in Tippecanoe County, then asking 80 owners their attitude toward a new design would be an example of a sample.

Because the survey is conducted on a limited group of people who represent the larger population. Therefore, the survey conducted on the sample represents the population as a whole. The sample is a representative subset of the entire population, which can be used to infer statistics and characteristics of the whole population. A statistical frame is a technique used to choose a representative sample of the population.

Asking only owners listed in the telephone directory would not be an example of a statistical frame. Instead, it would be an example of a bias selection because it excludes owners who are not listed in the telephone directory. Asking 100 owners their attitude toward a new truck style would not be an example of a consensus as consensus is a general agreement among the people.

However, the survey conducted on a sample can be used to find out a general consensus. Universal testing is not feasible because it would involve surveying each and every member of the population, which is both time-consuming and expensive.

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The complete question is: