a larger number is 12 more than the smaller number the sum is 74 find the larger number

Answer:

Nothing

Step-by-step explanation:

There is no real question or graph

Answer:

\(\frac{x*(x+4)*(x+3)*(x-4)}{y}\)

Step-by-step explanation:

Step 1:

Simplify \(\frac{x}{y}\)

Equation at the end of step 1:

\((((x+4)*(x+3))*\frac{x}{y} )*(x-4)\)

Step 2: Equation at the end of step 2

\(((x+4)*(x+3)*\frac{x}{y} )*(x-4)\)

Step 3: Equation at the end of step 3

\(\frac{x*(x+4)*(x+3)}{y} *(x-4)\)

Answer:

3/8 or 3:8

Step-by-step explanation:

pink : not pink

6 : 16

Think of it as a fraction. Simplify it in the same way.

6/16 simplifies to 3/8

So the pink:notpink ratio is 3/8 or 3:8

Answer:

Since the calculated value of Z= 19.029 is much  greater than Z (0.05) = 1.645 and falls in the rejection region we reject the null hypothesis and conclude that mean of teenagers spending time on phone per week  has increased.

Step-by-step explanation:

1) Formulate the null and alternate hypothesis as

H0 : μ≤ 8.5  against the claim Ha:  μ > 8.5

2) Choose the significance level ∝ =0.05

3) The test statistic under H0  is

Z= x`-  μ/ s/√n

4) The rejection region is Z≥ Z(0.05)= 1.645

5) Computing the value of Z from sample information we get

Z= 10.5-8.5/ 2.35/ √500

Z= 2/ 2.35/ 22.361

Z= 19.029

Since the calculated value of Z= 19.029 is much  greater than Z (0.05) = 1.645 and falls in the rejection region we reject the null hypothesis and conclude that mean of teenagers spending time on phone per week  has increased.

Answer:

They will blink together at 24minutes

Step-by-step explanation:

Using product of primes

4 = 2²

6 = 2 × 3

8 = 2³

Prime numbers with highest power

2³ × 3

8 x 3

24 minutes.

based on X values ,and do calculation

Answer:

480 is the answer

Step-by-step explanation:

120x4 is 480

The solutions to the system of equations 2x + y = 3 and y - 3 = 2x - 2 are (1,5) and (-2,-1).

A mathematical statement that has two expressions with equal values separated by the symbol "equal to" is called an equation. Consider the formula 3x + 5 = 15. Different types of equations exist, including linear, quadratic, cubic, and others. Let's read this article to learn more about math equations.

The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 has the two expressions 3x + 5 and 14 that are separated by the 'equal' sign.

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Using distributive property, the solution to the given expression is: 50v - 40w + 20

The Distributive Property is a term which is an algebra property which is used to multiply a single term and two or more terms inside a set of parentheses.

For example:

4(3 + 5)

According to the distributive property, you first have to multiply out the bracket to get:

4*3 + 4*5 = 12 + 20

= 32

Thus:

5(10v - 8w + 4) = (5 * 10v) - (5 * 8w) + (5 * 4)

= 50v - 40w + 20

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Answer:

all limits exist.

Step-by-step explanation:

plz see in the picture for more explaination.

Answer:

25

Step-by-step explanation:

Answer:

21 answers.

Step-by-step explanation:

First, change the percentage into a decimal point. Move the decimal point to the left two place values and drop the percentage sign:

70% = 70/100 = 0.70

Next, multiply 0.70 with the total amount of questions (30):

30 x 0.70 = 21

21 answers must be correct.

Check:

Divide 21 with 30:

21/30 = 0.70 = 70%

~

Given:

The points A(-3, 3), B(0, 7), C(4, 10), D(1, 6) create parallelogram ABCD.

To find:

The perimeter of parallelogram ABCD.

Solution:

Distance formula is

\(Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Using distance formula, find the side length of parallelogram.

\(AB=\sqrt{(0-(-3))^2+(7-3)^2}\)

\(AB=\sqrt{(3)^2+(4)^2}\)

\(AB=\sqrt{9+16}\)

\(AB=\sqrt{25}\)

\(AB=5\)

Similarly,

\(BC=\sqrt{\left(4-0\right)^2+\left(10-7\right)^2}=5\)

\(CD=\sqrt{\left(1-4\right)^2+\left(6-10\right)^2}=5\)

\(AD=\sqrt{\left(1-\left(-3\right)\right)^2+\left(6-3\right)^2}=5\)

Now,

Perimeter of ABCD is

\(P=AB+BC+CD+AD\)

\(P=5+5+5+5\)

\(P=20\)

Therefore, the perimeter of parallelogram ABCD is 20 units.

Answer:

8/125

Step-by-step explanation:

Eight over one hundred twenty five

Answer:

The factors of given polynomial    x =-1 , -2 and x =3

Step-by-step explanation:

Step(i):-

Given the polynomial  

                    f(x) =  x³ - 7x -6

 put x =-1

               f(-1) = (-1 )³- 7(-1) - 6 = -1+7-6=0

(x+1) is a one factor

By using synthetic division

                   x³    x²      x      constant

     x=-1  ↓   1      0      -7        -6

             ↓   0     -1      1          6

                  1       -1      -6       0    

The polynomial    x² - x - 6

Step(ii):-

The factors ( x+1)(x² - x - 6 ) = 0

     x = -1 and x² - x - 6 =0

    x =-1    and  x² - 3x + 2 x - 6 =0

   x =-1     and  x (x -3) + 2( x-3) =0

   x =-1     and  (x+2)(x-3) =0

Final answer:-

The factors of given polynomial    x =-1 , -2 and x =3

The position of A on the number line is

Number lines are the horizontal straight lines in which the integers are placed in equal intervals. All the numbers in a sequence can be represented in a number line.

As seen of the number line above , it is numbered in the sequence, 1,.. 2,...3 and the intervals are indicated.

Between 0 and 1 there are 5 lines, these means that each line will be 4/5

If 1 line is 4/5 , therefore ;

4 lines will be 4 × 4/5

= 16/5 = 3 1/2

Therefore the position of A on the number line is 3 1/2

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We are asked to find an equation that can be used to find 40 percent of 25. To to that we let's remember that when we want to get "x" percent of a quantity, we multiply that quantity by x/100, for example, we want to get, x% of n, we would do it like this:

Following that formula, to get 40% of 25, we would use:

And that is:

Answer:

(a) Null Hypothesis, \(H_0\) : \(\mu\) = 23%    

    Alternate Hypothesis, \(H_A\) : \(\mu\) \(\neq\) 23%

(b) We conclude that the mean percentage is  different from 23 and the manufacturing process will be re-calibrated.

(c) P-value is 0.6%.

Step-by-step explanation:

We are given that a certain manufactured product is supposed to contain 23% potassium by weight.

A sample of 10 specimens of this product had an average percentage of 23.2 with a standard deviation of 0.2.

Let \(\mu\) = mean percentage of potassium by weight.

(a) Null Hypothesis, \(H_0\) : \(\mu\) = 23%      {means that the mean percentage is equal to 23 and the manufacturing process will not be re-calibrated}

Alternate Hypothesis, \(H_A\) : \(\mu\) \(\neq\) 23%     {means that the mean percentage is  different from 23 and the manufacturing process will be re-calibrated}

The test statistics that would be used here One-sample t-test statistics as we don't know about population standard deviation;

                                T.S. =  \(\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }\)  ~ \(t_n_-_1\)

where, \(\bar X\) = sample mean percentage = 23.2

            s = sample standard deviation = 0.2

            n = sample of specimens = 10

So, the test statistics  =  \(\frac{23.2-23}{\frac{0.2}{\sqrt{10} } }\)  ~ \(t_9\)

                                     =  3.162

The value of t test statistic is 3.162.

Since, in the question we are not given with the level of significance so we assume it to be 5%. Now, at 5% significance level the t table gives critical value of -2.262 and 2.262 at 9 degree of freedom for two-tailed test.

(b) Since our test statistic doesn't lie within the range of critical values of t, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the mean percentage is  different from 23 and the manufacturing process will be re-calibrated.

(c) The P-value of the test statistics is given by;

            P-value = P( \(t_9\) > 3.162) = 0.006 or 0.6%

(a) Null Hypothesis,  \(H_o:\mu\): = 23%    

   Alternate Hypothesis, \(H_A:\mu\neq\) : 23%

(b) We conclude that the mean percentage is  different from 23 and the manufacturing process will be re-calibrated.

(c) P-value is 0.6%.

The hypothesis that there is no significant difference between specified populations, any observed difference being due to sampling or experimental error.

We are given that a certain manufactured product is supposed to contain 23% potassium by weight.

A sample of 10 specimens of this product had an average percentage of 23.2 with a standard deviation of 0.2.

Let  = mean percentage of potassium by weight.

(a) Null Hypothesis, \(H_o:\mu\):  = 23%      {means that the mean percentage is equal to 23 and the manufacturing process will not be re-calibrated}

Alternate Hypothesis,  \(H_A:\mu\neq\):   23%     {means that the mean percentage is  different from 23 and the manufacturing process will be re-calibrated}

The test statistics that would be used here One-sample t-test statistics as we don't know about population standard deviation;

\(TS=\dfrac{X-\mu}{\frac{s}{\sqrt{n}}}\)   ~ \(t_{n-1}\)

where,  = sample mean percentage = 23.2

           s = sample standard deviation = 0.2

           n = sample of specimens = 10

So, the test statistics  =   \(\dfrac{23.2-23}{\frac{0.2}{\sqrt{10}}}\) ~ \(t_g\)

                                    =  3.162

The value of t test statistic is 3.162.

Since, in the question we are not given with the level of significance so we assume it to be 5%. Now, at 5% significance level the t table gives critical value of -2.262 and 2.262 at 9 degree of freedom for two-tailed test.

(b) Since our test statistic doesn't lie within the range of critical values of t, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the mean percentage is  different from 23 and the manufacturing process will be re-calibrated.

(c) The P-value of the test statistics is given by;

           P-value = P( \(t_g\) > 3.162) = 0.006 or 0.6%

Hence ,

(a) Null Hypothesis,  \(H_o:\mu\): = 23%    

   Alternate Hypothesis, \(H_A:\mu\neq\) : 23%

(b) We conclude that the mean percentage is  different from 23 and the manufacturing process will be re-calibrated.

(c) P-value is 0.6%.

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The angle between the ground and the steepest slope on the real rollercoaster is approximately 89.998°.

A model rollercoaster is built to a scale of 1:32. In the model rollercoaster, the angle between the ground and the steepest slope is 110°.What is the angle between the ground and the steepest slope on the real rollercoaster?

To determine the angle between the ground and the steepest slope on the real rollercoaster, you need to consider the scale of the model rollercoaster.To find the real rollercoaster angle, you should use a scale factor that relates the model rollercoaster to the real one.

The scale factor should multiply the model angle to obtain the real one. Since the scale factor relates the model length to the real length, it should relate the horizontal distance and the vertical height.

The horizontal and vertical lengths are in a ratio of 32:1 for the model. This means that for every 32 units in the model, there is one unit in the real rollercoaster. Therefore, we can say that the horizontal length of the real rollercoaster is 32 times the horizontal length of the model rollercoaster.

That is:h(real) = 32h(model)Similarly, the vertical height of the real rollercoaster is 32 times the vertical height of the model rollercoaster. That is:v(real) = 32v(model)

The tangent of an angle equals the vertical height divided by the horizontal distance. Therefore, the tangent of the real angle equals the tangent of the model angle times the scale factor.

That is:tanθ(real) = 32tanθ(model)By substitution,θ(real) = arctan(32tanθ(model))For the given model angle of 110°,

the corresponding real angle is:θ(real) = arctan(32tan110°)θ(real) = arctan(32(-2.74747741945462))θ(real) = arctan(-87.91927694142864)θ(real) ≈ -89.998°

The negative sign indicates that the angle is measured below the horizontal line.

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Answer:

7 x 4

Step-by-step explanation:

Let the width be x, length will be 3x-5. ATQ, x(3x-5)=28. x=4 and x=-7/3, since length isn't negative, x=4. Width=4 and length=7

The required value of the F in the matrix is given as -8. Option B is correct.

Given that,
A system of equations is given, convert the equation into matrix form, and determine the corresponding value of the F.

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,
-2x + 5y -3z = -25
-4x - 3y - 8z = -39
6x + 8y - 5z = 14

Converting the above system of equations in the matrix form,
\(\left[\begin{array}{ccc}-2&5&-3\\-4&-3&-8\\6&8&-5\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}-25\\-39\\14\end{array}\right]\)
Now compare the above matrix with the given matrix, where F = -8

Thus, the required value of the F in the matrix is given as -8. Option B is correct.

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The within-treatments sum of squares is sometimes referred to as the "error sum of squares" because it represents the amount of variability in the data that is not accounted for by the treatment effect. In other words, it represents the variability that is due to random error or chance factors that are not related to the treatment. The error sum of squares is used to estimate the variance of the population from which the samples were drawn. The F-ratio is then calculated by comparing the treatment mean square to the error mean square. If the treatment effect is significant, then the treatment mean square will be larger than the error mean square, resulting in a larger F-ratio and a rejection of the null hypothesis. Therefore, the error sum of squares is an important component of the ANOVA table as it helps to determine whether the treatment effect is significant or not.

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Answer:

Slope= -1/5 Y-intercept= 8

Step-by-step explanation:

in the equasion, it is y=mx+b.

m= slope

b=y intercept

in your equasion, -1/5= m, meaning it is the slope!

and b=8, meaning youe y intercept is 8

if you needed to show your work all you have to do is replace x with 0 to find the y intercept.

hope this helps!

The remainder is 5 + c, which means that the expression P(x) = \(5x^4 + 7x^3 - 2x^2 - 3x + c\) divided by (x + 1) results in a quotient of\(5x^3 + 2x^2 - 4x + 4\) and a remainder of 5 + c.

To divide the polynomial P(x) = \(5x^4 + 7x^3 - 2x^2 - 3x + c\) by the binomial (x + 1), we can use polynomial long division.

Let's set up the long division:

    \(5x^3 + 2x^2 - 4x + 4\)

_______________________

x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)

We start by dividing the highest degree term of the dividend (5x^4) by the divisor (x + 1), which gives us 5x^3. We then multiply this quotient by the divisor (x + 1) and subtract it from the dividend:

              \(5x^3(x + 1)\)

     _______________________

x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)

- (\(5x^3 + 5x^2)\)

This leaves us with a new polynomial:\(2x^3 - 7x^2 - 3x + c\). We repeat the process by dividing the highest degree term of this polynomial (2x^3) by the divisor (x + 1), resulting in 2x^2. We then multiply this quotient by the divisor and subtract it from the polynomial:

              \(5x^3(x + 1) + 2x^2(x + 1)\)

     _______________________

x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)

-\((5x^3 + 5x^2)\)

_______________________

\(2x^2 - 3x + c\)

We continue this process until we reach the constant term, resulting in the remainder of the division.

At this point, we have:

               \(5x^3(x + 1) + 2x^2(x + 1)\)

     _______________________

x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)

- \((5x^3 + 5x^2)\)

_______________________

\(2x^2 - 3x + c\)

-\((2x^2 + 2x)\)

_______________________

- 5x + c

- (-5x - 5)

_______________________

5 + c

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The mistake is when you try to divide by X - 1, because you can't divide by zero.

Here we start by defining:

X = 1

The second step makes sense, we are adding the same value in both sides:

X + X = X + 1

2X = X + 1

Now subtract 2 in both sides:

2X - 2 = X + 1 - 2

2X - 2 = X - 1

Here is the mistake, you divide both sides by X - 1

But we already defined that X = 1

Then you are trying to divide by zero, and that opeartion is not defined, that is why you reach a false equation.

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Answer: Triangle C.

Step-by-Step Explanation:

To solve this problem, we need to understand what it means for a triangle to be a translation of another triangle. A translation for a triangle means that it is the same shape and size as the original triangle, but it has shifted (or moved) a specific number of units either up, down, left, or right.

In this problem, we have Triangle P, which has been shifted 5 units to the right and 7 units up to form Triangle C. To determine which triangle is a translation of Triangle P, we can look at the coordinates of the different triangles.

Triangle A: (1, 4), (3, 7), (5, 6)

Triangle B: (2, 3), (4, 6), (6, 5)

Triangle C: (6, 11), (8, 14), (10, 13)

Triangle D: (3, 5), (5, 8), (7, 7)

If we compare the coordinates of each triangle with those of Triangle P, we can see that Triangle C, with coordinates (6, 11), (8, 14) and (10, 13), is the translation of Triangle P because all of the coordinates of Triangle P have been shifted 5 units to the right, and 7 units up. Therefore, the answer is Triangle C.

Step-by-step explanation:

let the angles be ' 7x, 8x and 5x'

as we know, the sum of all the angles of a triangle is 180 degree, so,

7x + 8x + 5x = 180

20 = 180

x = 180/2

x = 90 degrees

7x = 7 × 90 = 630 degree

8x = 8 × 90 = 720 degrees

5x = 5 × 90 = 540 degrees

therefore, 5x is the smallest degrees

The best statement that describes the amount of water in the pool is that it is decreasing during the time interval 4. That is option 3.

To determine the time interval of the water in the pool the following is carried out.

At 0 hour, the water is at the level of = 40 gallons

At 1 hour, the water decreased to = 25 gallons.

At 2 hours, the water decreased to = 10 gallons.

The water remained at a constant level till 4 hours.

Therefore, the amount of water in the pool is that it is decreasing during the time interval 4.

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