40 POINTS PLEASE HELP

The quotient of the expressions −48.132 and −0.84 will be 57.30. Then the correct option is C.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

Given −48.132 ÷ −0.84.

Then the value of the expression will be

⇒ −48.132 / −0.84

If in the numerator and the denomination, the negative sign is present, then both will cancel out each other.

⇒ 48.132 / 0.84

⇒ 57.30

The quotient of the expressions −48.132 and −0.84 will be 57.30.

Then the correct option is C.

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Answer: 0.0622009569378

Step-by-step explanation:

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

Explanation:

r = cost of irons

w = cost of woods

These costs are in dollars. They are some positive real number.

The irons cost $90 more than the woods, so r = w+90

The total cost is $530, leading to r+w = 530

We can apply substitution to solve for w

r+w = 530

(r) + w = 530

(w+90) + w = 530 .... replace r with w+90

w+90+w = 530

w+w+90 = 530

2w+90 = 530

2w+90-90 = 530-90 ... subtract 90 from both sides

2w = 440

2w/2 = 440/2 .... divide both sides by 2

w = 220

A set of woods golf clubs cost $220

This must mean

r = w+90

r = 220+90

r = 310

The set of irons cost $310

---------------------

Check:

(woods cost)+(irons cost) = (220) + (310) = 530

This confirms the answer.

Without knowing the total number of coins or the ratio between one dollar and two dollar coins in the jar, we cannot accurately determine the number of two dollar coins.

Amadi has a jar with both one dollar and two dollar coins. The question is asking how many of the coins in the jar are two dollar coins.
To determine the number of two dollar coins, we need more information. The question does not provide any details about the total number of coins or the ratio between one dollar and two dollar coins in the jar. Without this information, it is not possible to give an accurate answer.
If we assume that the jar contains a total of 100 coins, we can use algebra to solve for the number of two dollar coins.

Let's say the number of two dollar coins is x. Then, the number of one dollar coins would be 100 - x.
Since the value of the two dollar coins is double the value of the one dollar coins, we can set up the equation 2x + 1(100 - x) = total value of coins.
Simplifying the equation, we get 2x + 100 - x = total value of coins.
Combining like terms, we have x + 100 = total value of coins.
Since we don't know the total value of coins, we cannot solve for x. Therefore, we cannot determine the number of two dollar coins without additional information.

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The length of the hypotenuse in this problem is given as follows:

h = 10.6 m.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

The side lengths for this problem are given as follows:

7m and 8m.

Hence the hypotenuse is obtained as follows:

h² = 7² + 8²

\(h = \sqrt{7^2 + 8^2}\)

h = 10.6 m.

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Answer:

\( \frac{29}{2} \)

Answer:12

Step-by-step explanation: multiply the second fraction by 3 on the top and bottom to equalize the tow fractions denominators

Thus, the places where the function intersects the x-axis are represented by the roots of the function, which are also the x-intercepts of the function's graph.

A quadratic in mathematics is a particular kind of equation that involves squaring, or multiplying a number by itself. This terminology comes from the fact that a square's area equals the product of its side length and itself. Quadratum, the Latin term for square, is where the word "quadratic" originates.

The given function is a quadratic function with two roots, x=2 and x=6. f(x) = (x-2)(x-6)

When we set f(x) equal to zero, we get:

0 = (x-2)(x-6)

This means that the roots of the function are x=2 and x=6, since these are the values of x that make the expression on the right-hand side equal to zero.

We can also see that the function changes sign at the roots. Between x=2 and x=6, the expression (x-2) is positive and (x-6) is negative, so their product is negative and the function f(x) is negative.

On either side of the roots, the signs of the factors switch, so the product is positive and the function is positive.

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Answer: 0

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

0 divided by 1 is 0 similarly to other numbers.

For example 5/1 = 5

Although, 1/0 is undefined as it isn't legal.

Answer:

A Y=2X + 1

Step-by-step explanation:

2x wouldn't the same because of the fact that is Is a parallel line and setting the slope to 1 caused it to pass through (-1,-1)

Okay, here we have this:

Considering the provided figure, we are going to calculate the requested measure, so we obtain the following:

We can see that the figure in question corresponds to a right triangle, for which we can use the trigonometric ratios, so in this case we know the measure of an angle, the hypotenuse and we want to know the opposite leg, so we will use the sine ratio because it relates given measurements, then we have:

Finally we obtain that the exact answer is 7√ unitsand decimal approximation is 9.89 units.

Thus, the volume of cylinder with the given height and diameter is found as 1413 ft³.

A cylinder is three-dimensional. It's not a flat thing. There are parallel circular bases in this shape. These bases have a curved face affixed to them. A cylinder in this instance has three faces. Along both end of a curved face, which rounds back to the face's origin, are two spherical bases.

Given that-

Volume of cylinder = πr²h

Volume of cylinder = 3.14 *5²*18

Volume of cylinder = 3.14*25*18

Volume of cylinder = 1413 ft³

Thus, the volume of cylinder with the given height and diameter is found as 1413 ft³.

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Answer:

5 three hour classes and 27 four hour classes

Step-by-step explanation:

Convert these words into equations

Since one hour is 36, we can write two expressions for the 2 different classes: 108x and 144y (the amount of money from those classes)

x is the number of 3 hour classes, y is the number of 4 hour classes

Since the amount of money the studio makes is 4428, 108x+144y=4428

Since there are a total of 32 classes, x+y=32

So we now have the equations x+y=32 and 108x+144y=4428

Solve for x in the first equation (in order to substitute it into the second one)

we get x=32-y

plugging this into the second equation gives

108(32-y)+144y=4428

3456-108y+144y=4428

Combining like terms gives 36y=972

y=27

So there are 27 four hour classes, and 5 three hour classes( because 32-27=5)

Answer:

\( R = \frac {3ST}{2S + T} \)

Step-by-step explanation:

Given the equation;

\( \frac {3}{R} - \frac {1}{S} = \frac {2}{T} \)

Rearranging the equation, we have;

\( \frac {3}{R} = \frac {2}{T} + \frac {1}{S} \)

Lowest common multiple (LCM) of S and T is ST.

\( \frac {3}{R} = \frac {2S + T}{ST} \)

Cross-multiplying, we have;

\( 3ST = R(2S + T) \)

Making R, the subject of formula;

\( R = \frac {3ST}{2S + T} \)

Answer: 14,605 pieces.

Step-by-step explanation:

In the second quarter, the company produced 795 pieces more than in the first quarter.

So, the total pieces produced in the second quarter can be calculated as:

6905 + 795 = 7700

The total pieces produced in the first semester (two quarters) can be calculated as:

6905 + 7700 = 14,605

Therefore, the company produced 14,605 pieces in the first semester.

The number of pieces the company produced in the first semester was 14,605 pieces.

The question asks to calculate how many pieces a company produced in the first semester, considering the production of two quarters.

In the first quarter, the company produced 6,905 pieces, as indicated in the question.

Already in the second quarter, the company produced 795 more pieces than in the first quarter, which means that the production in the second quarter was:

6,905 + 795 = 7,700 pieces.

To know the company's total production in the first semester, just add the productions of the two quarters:

6,905 + 7,700 = 14,605 pieces

The answer of the given question based on the scatterplot for determining  when she will reach 10,000 songs the answer is Maria will reach 10,000 songs in approximately 13.33 months, or about 14 months.

Slope is  measure of  steepness or incline of  line. In geometry and mathematics, slope is defined as  ratio of the change in  y-coordinates to  change in  x-coordinates between two distinct points on  line. This is often represented by  letter "m".

To determine when Maria will reach 10,000 songs, we need to find the point on the line of best fit where the y-value is 10,000.

From the scatterplot, we can estimate that the line of best fit intersects the y-axis at approximately 2000. This means that the initial number of songs downloaded was 2000.

Next, we need to find the slope of the line of best fit. Let's choose the points (5, 6500) and (10, 9500).

The slope of the line passing through these two points is:

slope = (y2 - y1)/(x2 - x1) = (9500 - 6500)/(10 - 5) = 600 songs per month

This means that Maria is downloading 600 songs per month on average.

Finally, we can use the slope-intercept form of a line to find the x-value when the y-value is 10,000:

y = mx + b

10,000 = 600x + 2000

8000 = 600x

x = 13.33

Therefore, Maria will reach 10,000 songs in approximately 13.33 months, or about 14 months.

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Answer:1200

Step-by-step explanation:1200

Answer:

The probability that the vaccine is not effective in more than 1 of the 20 individuals is equal to:

P = 1 - P(1) - P(0)

Where:

P(1) = probability that the vaccine is not effective in one individual

P(0) = probability that the vaccine is not effective in 0 individuals.

The probability that the vaccine is effective is 0.95

Then the probability that the vaccine is not effective is 0.05.

Then to calculate P(1), suppose that the vaccine is not effective in the first case and then is effective 19 times, this is:

p(1) = (0.05^1)*(0.95^19)

But this only for one case, we have 20 possible permutations (the vaccine is not effective in the first case, the second case, third case, etc)

Then the actual probability is:

P(1) = 20*((0.05^1)*(0.95^19)) = 0.377

And P(0) is easy to compute:

P(0) = (0.05^0)*(0.95^20) = 0.358

And here we have only one possible permutation, so we do not worry about that.

Then P = 1 - P(1) - P(0) = 1 - 0.377 - 0.358 = 0.265

This means that the probability that the vaccine is not effective in more than one individual is of 0.265 (or 26.5% in percentage form)

Answer:

x=41 or x=55 both are right

Step-by-step explanation:

Answer:

ŷ = 7.02895X1 + 12.6959X2 - 170.33728

Since the calculated F=32 falls in the critical region F ≥ 9.55 we reject our null hypothesis and conclude that there is association between at least one of the regressors and the dependent variable.

Step-by-step explanation:

Using stat calculator:

Part A:

x1         x2            y              Predicted Y          Residual

13        11         62.8739       60.693967        2.179933

15        11        76.1328         74.751867          1.380933

13        13        87.4667       86.085767         1.380933

15        13       102.3236      100.143667        2.179933

14         12      76.1872         80.418817         -4.231617

14        12        77.5287        80.418817         -2.890117

mean

14        12       80.418817     80.418817           0            

standard deviation

0.89 0.89      13.2812       12.979739       2.813451        

Calculation

Sum of X1 = 84

Sum of X2 = 72

Sum of Y = 482.5129

Mean X1 = 14

Mean X2 = 12

Mean Y = 80.4188

Sum of squares (SSX1) = 4

Sum of squares (SSX2) = 4

Sum of products (SPX1Y) = 28.1158

Sum of products (SPX2Y) = 50.7836

Sum of products (SPX1X2) = 0

Regression Equation = ŷ = b1X1 + b2X2 + a

b1 = ((SPx1y)*(SSx2)-(SPx1x2)*(SPx2y)) / ((SSx1)*(SSx2)-(SPx1x2)*(SPx1x2)) = 112.46/16 = 7.02895

b2 = ((SPx2y)*(SSx1)-(SPx1x2)*(SPx1y)) / ((SSx1)*(SSx2)-(SPx1x2)*(SPx1x2)) = 203.13/16 = 12.6959

a = MY - b1MX1 - b2MX2 = 80.42 - (7.03*14) - (12.7*12) = -170.33728

ŷ = 7.02895X1 + 12.6959X2 - 170.33728

X1-Mx1         X2-Mx2        Y-My               (X1-Mx1)²            (X2-Mx2)²

-1                     -1                 -17.545               1                       1

1                        -1                -4.286               1                       1

-1                       1                  7.048                1                      1

1                        1                  21.905              1                       1

0                       0                -4.232               0                      0

0                       0                 -2.89                0                     0            

                                                             SSX1: 4       SSX2: 4        

SPx1y            SPx2y         SPx1x2

17.545           17.545            1

-4.286            4.286            -1

-7.048             7.048          - 1

21.905             21.905        1

0                        0                0

0                       0                 0                      

SPX1Y:         SPX2Y:           SPX1X2: =0

= 28.116       =50.784                                    

Part B

Coefficient Table

             Coefficient           SE                     t- stat        

x1           -170.337283      33.519576          -5.081725

x2           7.028950         1.816075            3.870408

b            12.695900        1.816075           6.990847    

Part C:

Test for significance of β1 and β2.

State the null and alternate hypotheses as

H0: β1=β2=0

Ha:  At least one of the β1 and β2 is non zero.

The significance level is set at ∝= 0.05

The test statistic to use is

F= MSR/ MSE= MS regression/ MS Residual

which if H0 is true has F distribution with υ1= 2 and υ2= n- 3= 6-3= 3  degrees of freedom.

To set up the ANOVA table we find the necessary sum of squares .

Regression SS ( between y^ and y`) = SSR= 842.368060

Residual SS ( between yi and y^) = SSE=  39.577526

Total SS  = SSR+ SSE= 842.368060+39.577526= 881.945586

ANOVA table

Source                 DF      Sum of Square     Mean Square    F Statistic

Regression

(b/w ŷi and yi) 2    842.368060 421.184030 31.926000

Residual

(b/w yi and ŷi) 3    39.577526          13.192509                  

Total (b/w yi and yi)5      881.945586 176.389117                              

The critical region is F≥F (0.05) (2,3)=9.55

Conclusion:

Since the calculated F=32 falls in the critical region F ≥ 9.55 we reject our null hypothesis and conclude that there is association between at least one of the regressors and the dependent variable.

Answer: C and D

Step-by-step explanation:

√36 = ±6

P and q are true because 10 is in fact greater than both 7 and 5. (A) the conclusion is true if an implication of the form T T. We know this with the help of a given conditional statement.

A conditional statement is one that has the syntax "If P then Q," with P and Q denoting sentences.

P is referred to as the hypothesis and Q is referred to as the conclusion for this conditional statement.

The implication of "If P then Q" is that whenever P is true, Q must also be true.

Because 10 is indeed greater than both 7 and 5, p and q are true.

If an implication has the structure T ⇒ T, the conclusion is correct.

Consequently, even though it's not entirely apparent what they mean, I'd say the outcome is the first possibility.

By "the implication is true because both parts of the implications are true," I assume that you mean this.

Therefore, P and q are true because 10 is in fact greater than both 7 and 5. (A) the conclusion is true if an implication of the form T T. We know this with the help of a given conditional statement.

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Correct question:

Which of the following illustrates the true value of the given conditional statement? p: 10 > 7 q: 10 > 5 q → p

a. T T → T

b. T F → T

c. F T → F

d. F F → T

The unit rate of computers per day using the graph is that 12 computers are made per day.

The unit rate is how many units of quantity correspond to the single unit of another quantity. We say that when the denominator in rate is 1, it is called unit rate. Unit rates is said to be the amount of something in each unit or per unit.

To obtain the unit rate of computers sold per day using the graph, we need to obtain the slope of the graph, which is the change in y per change in x

So, it is given by:

\(\text{Slope} = \dfrac{\text{change in y}}{\text{change in x}}\)

\(\text{Slope} = \dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}\)

\(\text{y}_2 = 60 , \ \text{y}_1 = 36 , \ \text{x}_2 = 5, \ \text{x}_1 = 3.\)

\(\text{Slope} = \dfrac{(60 - 36)}{(5 - 3)} = \dfrac{24}{2} = 12\)

\(\bold{Slope = 12}\)

Unit rate = 12 computers per day.

The attachment of the graph is given below.

Therefore, the unit rate of computers per day is 12.

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Answer:84

Step-by-step explanation:

Answer:

84 hamburgers were sold

Answer

Tina needs to pay Tony 70p still

Answer:

use caculator or this site

Step-by-step explanation:

https://sites.math.washington.edu/~colling/HSMath120/TB201112.pdf

The general formula for an exponential function is f(x) = ae^rt while the general form of a quadratic equation is f(x) = ax^2 + bx + c

Thus,

f(x) = 7e^0.5x is an exponential function and

g(x) = 3x^2 + 7x - 4 is a quadratic function

Let us substitute values of x into each function and compare the growth rates

For x = 1,

f(1) = 7e^0.5 = 11.4

g(1) = 3(1)^2 + 7(1) - 4 = 3 + 7 - 4 = 6

For x = 2,

f(1) = 7e^2(0.5) = 19

g(1) = 3(2)^2 + 7(2) - 4 = 12 + 14 - 4 = 22

For x = 3,

f(3) = 7e^3(0.5) = 31

g(1) = 3(3)^2 + 7(3) - 4 = 27 + 21 - 4 = 44

We can see that g(x) is increasing at a faster rate than f(x).

For this problem we need to know that a linear proportional function occurs when the dependent variable is and the independent variable is also 0. If we analyze the possible options we see this:

A) When x=0 then y= 3. Not satisfy the condition

B) When x=0 then y= 5. Not satisfy the condition

C) When x=0 the y=0 so that represent the answer

D) When x=0 then y=2. Not satisfy the condition

Then the best answer would be C)

Answer:

it is the last one

Step-by-step explanation:

A dilation is an enlargement or reduction of an object by a scale factor and with a center of dilation.