x^2+5x-6\x^2-10x+9
Simplify the expression completely if possible.

Answer:

96 pizzas

Step-by-step explanation:

Allan can make 8 pizzas in 15 minutes at the pizza restaurant where he works.

We are told that;

If the number of pizzas varies directly with minutes,

P ∝ M

P = kM

Hence:

8 = 15k

k = 8/15

How many pizzas can Allan make in 3 hours?

Convert 3 hours to minutes

1 hour = 60 minutes

3 hours = x

x = 3 × 60

x = 180 minutes

Hence,

M = 180 minutes

k = 8/15

P = kM

P = 8/15 × 180

P = 96 pizzas

Therefore, Allan can make 96 pizzas in 3 hours

The probability that a chosen point, in the figure lies in the shaded region is 3.18.

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%

The probability of the point chosen in the shaded region is calculated by the formulae

Probability = \(\frac{Area of shaded region}{Total area}\)

To find the total area we need to find the area of a triangle and the area of a semicircle.

Area of triangle = 1/2 * Base * Height

                          = 1/2 * 15 * 6

                          = 45

Area of semicircle =  \(\frac{\pi r^{2} }{2}\)

                              = \(\frac{\pi (3)^{2} }{2}\)

                              =14.13

Therefore the probability that chosen point = \(\frac{45}{14.13}\) = 3.18

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Answer:

Step-by-step explanation:

1). Since, m∠1 + m∠2 = 180° [Supplementary angles]

   If m∠2 = 120°

   m∠1 + 120° = 180°

   m∠1 = 180° - 120°

   m∠1 = 60°

2). If a transversal intersects two parallel lines on the top and middle,

   ∠1 and ∠5 will be corresponding angles.

3). Since, m∠1 = m∠5 = 60° (Corresponding angles)

   Therefore, both the lines on top and middle will be parallel.

4). Since, m∠9 + m∠11 = 180° [Supplementary angles]

   If m∠11 = 120°

   m∠9 + 120° = 180°

   m∠9 = 60°

   Since, m∠1 = m∠9 = 60° [Corresponding angles]

   Therefore, both the lines on the top and bottom shelves will be parallel.

5). Since, m∠5 = m∠9 = 60° [Corresponding angles]

    Therefore, middle and bottom shelves will be parallel.

Answer:

Hope it helps you☺️☺️

Step-by-step explanation:

-3(4x+3)+4(6x+1)=x+43-13x

or,-12x-9+24x+4=-12x+43

or,12x-5=-12x+43

or,12x+12x=43+5

or,x=48/24

so,x=4

The initial value that I might consider with that slope is the y-intercept. The y-intercept is the point where the line crosses the y-axis, and it is the value of y when x is 0. So, if the slope is 2, then the y-intercept might be 1. This would give us the following linear equation:

y = 2x + 1

This equation represents a line that has a slope of 2 and a y-intercept of 1.

Answer:

Residual value

A number that goes into a greater number with no remainders is called a factor.

A factor is an integer that divides into a greater number without any remainders.

For example, the number 6 is a factor of 18 because when 18 is divided by 6, the answer is 3 with no remainders. Similarly, the number 3 is a factor of 12 because when 12 is divided by 3, the answer is 4 with no remainders.

Factors are important in mathematics because they can be used to solve equations and determine the greatest common divisor (GCD) of two or more numbers. Factors can also be used to determine prime numbers and their multiples.

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Answer:

I really like helping people so can you take this app more seriously ..?

Step-by-step explanation:

The type of measurement, the nature of the comparison, and the number of groups to be compared influence the statistical choice is true.

The choice of statistical test depends on several factors, including the type of measurement (nominal, ordinal, interval, or ratio), the nature of the comparison (independent or dependent), and the number of groups being compared.

For example, different statistical tests are used for comparing means between two groups, three or more groups, or paired observations within the same group. It is important to select the appropriate statistical test that matches the research question and the data being analyzed to ensure accurate and valid results.

Hence, The type of measurement, the nature of the comparison, and the number of groups to be compared influence the statistical choice is true.

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Answer:

x=8

Step-by-step explanation:

factor = 1 29

29 is a prime number

it's only factors are 1 and 29

Answer:

Step-by-step explanation:

Population density is:

Correct option is A

The cοοrdinates οf the fοurth vertex are (4,-1).

Tο find the fοurth vertex οf the parallelοgram, we need tο use the fact that οppοsite sides οf a parallelοgram are parallel and have the same length. We can use the given three vertices tο determine the vectοr representing οne οf the sides οf the parallelοgram. Then, we can extend that vectοr tο find the fοurth vertex.

Let's take the vectοrs representing twο adjacent sides οf the parallelοgram:

v1 = (-4,1) - (-2,-5) = (-2,6)

v2 = (6,-7) - (-4,1) = (10,-8)

Since οppοsite sides οf a parallelοgram are parallel, v1 and v2 must be parallel. This means that we can find the fοurth vertex by adding v1 tο the third vertex, (6,-7):

v4 = (6,-7) + v1 = (6,-7) + (-2,6) = (4,-1)

Therefοre, the cοοrdinates οf the fοurth vertex are (4,-1).

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Complete question:

Three vertices of a parallelogram are shown in the figure below. Give the coordinates of the fourth vertex.

The individual error rate for each of the 7 comparisons should be approximately 0.007 to maintain a family-wise error rate of 0.05. Option C is correct.

If there are 10 levels of one factor but only 7 comparisons are of importance, the total number of pairwise comparisons is given by the formula:

nC2 = (10 choose 2) = 45

Since only 7 of these comparisons are of importance, we need to adjust the individual error rate for multiple comparisons to maintain the overall family-wise error rate at 0.05.

Let α be the individual error rate for each of the 7 comparisons. Then, using the Bonferroni correction, the adjusted individual error rate for each comparison would be:

α' = α / m

where m is the number of comparisons of interest, which in this case is 7.

We want the family-wise error rate to be 0.05, so we have:

1 - (1 - α')^m = 0.05

Substituting α' = α / m, we get:

1 - (1 - α/m)^7 = 0.05

Solving for α, we get:

α ≈ 0.007

Option C is correct.

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Answer:

HCF = 33.

Step-by-step explanation:

99 = 3*3*11

165 = 3*5*11

3 and 11 are common so the HCF = 3*11

= 33.

Answer:

Step-by-step explanation:

(-3,-2)

Answer:

A

Step-by-step explanation:

Answer:

\(2x^6y^2\)

Step-by-step explanation:

Step 1: simplify integers in expression

\(\frac{12x^{9}y^{4}}{6x^{3}y^{2}} = \frac{2x^{9}y^{4}}{x^{3}y^{2}}\)

Step 2: simplify x terms

\(\frac{2x^{9}y^{4}}{x^{3}y^{2}} = \frac{2x^{6}y^{4}}{y^{2}}\)

Step 3: simplify y terms

\(\frac{2x^{6}y^{4}}{y^{2}} = 2x^6y^2\)

The function operation (f-g)(x) in the functions f(x) = 2√3x and g(x) = -4√3x is 6√3x and  the value of (f-g)(12) is 36.

A function is simply a relationship that maps one input to one output.

Given that;

First, set up the function;

(f - g)(x) = f(x) - g(x)

Replace the function designators with the actual function.

(f - g)(x) = f(x) - g(x)

(f - g)(x) = 2√3x - (-4√3x)

(f - g)(x) = 2√3x + 4√3x

(f - g)(x) = 6√3x

Now, we evaluate when x = 12.

(f - g)(x) = 6√3x

Replace x with 12

(f - g)( 12 ) = 6√3(12)

(f - g)( 12 ) = 6√36

(f - g)( 12 ) = 6 × 6

(f - g)( 12 ) = 36

Therefore, the function operation (f-g)(x) is 6√3x and (f-g)(12) is 36.

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For the shown figure:

Given:

We will prove:

The proof will be as follows:

Statement Reason

1. PQ ≅ RS Given

2. QR ≅ SP Given

3. PR ≅ RP Reflexive property

4. ΔPQR ≅ RSP Congruent by SSS postuelate

Answer:

$19.00

Step-by-step explanation:

$95.00×20%=19.00

The actual average time spent playing outdoors by 10-year-old American children could be 2.67 minutes higher or lower than the reported range of 20.02 to 25.36 minutes.

The margin of error in the report stating that a 10-year-old American child spends an average of 20.02 to 25.36 minutes playing outdoors per day can be calculated by subtracting the lower value from the higher value and dividing by 2. In this case, the margin of error is :

To find the margin of error, we need to calculate the halfway point between these two values.
(25.36 - 20.02) / 2 = 2.67

Therefore, the margin of error is approximately 2.67 minutes. This means that the actual average time spent playing outdoors by 10-year-old American children could be 2.67 minutes higher or lower than the reported range of 20.02 to 25.36 minutes.

Thus, the actual average time spent playing outdoors by 10-year-old American children could be 2.67 minutes higher or lower than the reported range of 20.02 to 25.36 minutes.

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The correct answer of joint hypotheses on multiple regression coefficients ption (D) is the exception in this case.

In multiple regression analysis, joint hypotheses involve the null hypothesis of equality or inequality between two or more regression coefficients.

Option (A) H0: 3/2 = 1 and 4 = 0 is an example of a joint hypothesis that involves the null hypothesis of equality between two regression coefficients.

Where the coefficients are 3/2 and 1, and another null hypothesis of inequality between a coefficient and zero, where the coefficient is 4.

Option (C) H0: 1 = −2 and 1 + 2 = 1 is an example of a joint hypothesis that involves the null hypothesis of equality between a coefficient and a negative value.

Where the coefficient is 1, and another null hypothesis of equality between the sum of two coefficients and a value, where the coefficients are 1 and 2.

Option (D) H0: 2 = 0 and 3 = 0 is an example of a joint hypothesis that involves the null hypothesis of equality between two coefficients and zero, where the coefficients are 2 and 3.

However,

Option (B) H0:1 + 2 = 1 is not a joint hypothesis involving regression coefficients.

It is simply an equation involving two constants, 1 and 2, and the null hypothesis states that their sum is equal to 1.

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The rounded number to 1 significant figure is 10000m.

Significant figures are a way of indicating the precision of a measurement or calculation. They represent the digits in a number that are known with certainty, plus one additional digit that is estimated. The rules for determining significant figures include:

Significant figures are important because they allow us to communicate the accuracy and precision of a measurement or calculation. By using the appropriate number of significant figures, we can avoid misleading others with inaccurate or imprecise information.

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Answer:

1) 3x+8

2) -2y+3x

Step-by-step explanation:

thats the answer! hope it helps :)

Answer:

60cm

Step-by-step explanation:

1 meter = 100cm

3/5 x 100 = 60

if the function is divided and we get the remainder of  zero then  it is said to be a factor of a function

According to the Remainder Theorem, by a factor x − an of that polynomial, then you will get a zero remainder. The point of the Factor Theorem is the turnaround of the Remainder Theorem: On the off chance that you synthetic-divide a polynomial by x = a and get a zero remainder, at that point not as it were is x = a, a zero of the polynomial(for the remainder theorem ) but x − a is additionally a factor of the polynomial according to of the Factor Theorem.

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Answer:

Step-by-step explanation:

35-27=8

Answer:22.85%

Step-by-step explanation:

27 - 35

|35|

× 100% =

-8

35

× 100 = -22.8571428571% (decrease)

Answer:

D. 3*10^2

Step-by-step explanation:

Given the diameter of human red blood cell =  0.000009 m

diameter of a cold virus = 0.00000003 m

To know how many times as large is the diameter of a red blood cell as the diameter of a cold virus, we will take the ratio of the diameter of human red blood cell to that of a cold virus as shown;

diameter of human red blood cell/diameter of a cold virus = 0.000009 m/0.00000003 m

= 9*10^-6/3*10^-8

= 9/3 * 10^-6-(-8)

= 3 * 10^(-6+8)

= 3*10^2

Hence the diameter of a red blood cell is 3*10^2 larger than that of the cold virus

Answer:

D. 3*10^2

Step-by-step explanation:

khan acadamy