convert 29/6 and 16/7 to fraction with denominator 42​

Answer:

Yes, it is.

Step-by-step explanation:

The function x² = -y - 2 is a quadratic function.

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences. The German mathematician Peter Dirichlet initially offered the contemporary definition of function in 1837: A variable y is said to be a function of the independent variable x if there is a relationship between them such that whenever a numerical value is assigned to x, there is a rule that determines a specific value of y.

As per the given data:

The function is x² = -y - 2

Rearranging the function:

y = x² - 2

A quadratic function is always of the form:

y = ax² + bx + c, where a, b and c are real numbers with a not equal to 0.

We can write y = x² - 2 as:

y = x² + 0(x) - 2, here a = 1, b = 0, c = -2

Hence, the function x² = -y - 2 is a quadratic function.

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Answer:

  96 ft³

Step-by-step explanation:

A graphing calculator conveniently graphs this function. It shows the maximum volume is about 96 ft³.

Answer:

ok i find a.53 b.45c.40d.50 he anwer is hulaan monalang. A53

Abraham Lincoln, in his autobiography, kept his portrayal of his life very: A. neutral.

An autobiography can be described as the account of the of an individual which is authored by the individual whose life is being narrated.

For Abraham Lincoln, the manner in which he described himself sounded quite neutral in the autobiography he authored.

We can conclude that Lincoln kept his portrayal of his life very: A. neutral.

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Answer:

  160,000 tins

Step-by-step explanation:

To find the number of tins, divide the fill rate by the volume per tin.

__

  (2·(1000 L)/min)×(60 min)/(1 h)/(0.75 L/tin) = 160,000 tin/h

160,000 tins of paint can be filled in 1 hour.

_____

Additional comment

That's one tin every 22.5 milliseconds. It would be a feat of engineering to move that volume without splashing.

There are 60 minutes per hour. There are 1000 liters per cubic meter.

Answer:

Round off value = 500000

Step-by-step explanation:

467532  > 500

- Round up

⇒ 500,000

Considering the equation of the circle graphed on this problem, the value of y is given by:

[tex]y = -\frac{1}{4}[/tex]

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In this problem, the circle is centered at the origin, with radius 1, hence the equation is given by:

[tex]x^2 + y^2 = 1[/tex]

Hence, when [tex]x = -\frac{\sqrt{15}}{4}[/tex], the values of y are given by:

[tex]y^2 = 1 - x^2[/tex]

[tex]y^2 = 1 - \frac{15}{16}[/tex]

[tex]y^2 = \frac{1}{16}[/tex]

Looking at the graph, we want the negative value of y, hence:

[tex]y = -\sqrt{\frac{1}{16}}[/tex]

[tex]y = -\frac{1}{4}[/tex]

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Answer: its positive 1/4

Step-by-step explanation: got the question right

Answer:

Below in bold.

Step-by-step explanation:

The population P will increase by a factor of 1.32 each year.

The function is

P = 415(1.32)^t  where t is the time in years.

After 5 years:

P = 415(1.32)^5  = 1663.

Answer:

[tex]3A+9B=\begin{bmatrix} 27 & 63 & -60 \\\\ 102 & -57 & -60\\\\ 63 & -18 & 9 \end{bmatrix}[/tex]

Step-by-step explanation

The area of the face of a nickel 353.14 [tex]mm^{2}[/tex] (nearest hundredth)

The area of a circle is the amount of space enclosed within the boundary of a circle. The region within the boundary of the circle is the area occupied by the circle.

As the surface of nickel is in shape of 2-D circle.

radius of circle = [tex]\frac{21.21}{2}[/tex] = 10.605 mm

Area of circle= [tex]\pi r^{2}[/tex]

                      = 3.14* 21.21*21.21

                      = 353.143 [tex]mm^{2}[/tex]

                      = 353.14 [tex]mm^{2}[/tex] (nearest hundredth)

Thus, the area of the face of a nickel 353.14 [tex]mm^{2}[/tex] (nearest hundredth)

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The transformation from the parent function f(x) to g(x) is (b) g(x) is shifted 2 units to the right and 6 units up

The equations are given as:

f(x) = x^3

g(x) = (x - 2)^3 + 6

The transformation from f(x) to g(x) can be represented as:

x -> x -2

f(x) -> f(x) + 6

This means that the function f(x) is shifted right by 2 units and shifted up by 6 units.

Hence, the transformation from the parent function f(x) to g(x) is (b) g(x) is shifted 2 units to the right and 6 units up

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The area of the triangle is 95.53 square inches if the sides of a triangle measure 12 inches, 17 inches, and 24 inches.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have:

The sides of a triangle measure 12 inches, 17 inches, and 24 inches.

From the formula:

[tex]\rm Area = \sqrt{s(s-a)(s-b)(s-c)}[/tex]

[tex]\rm s = \dfrac{a+b+c}{2}[/tex]

a = 12, b = 17, c = 24 inches

[tex]\rm s = \dfrac{12+17+24}{2} = 26.5[/tex]

Plug all the values in the formula we get:

Area = 95.529 ≈ 95.53 square inches

Thus, the area of the triangle is 95.53 square inches if the sides of a triangle measure 12 inches, 17 inches, and 24 inches.

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Answer:

jump equation

bu multiplying by a conjugate

Answer:

Acount is a great place to work for a loved ones like you a few months

Considering the given confidence interval, the correct option regarding the conclusion of the hypotheses test is given by:

yes, because 0 is not in the confidence interval.

At the null hypotheses, it is tested if the difference is equals to zero, that is:

[tex]H_0: \mu = 0[/tex].

At the alternative hypotheses, it is tested if it is different, hence:

[tex]H_1: \mu \neq 0[/tex].

The confidence interval is (0.57, 1.25). Since it does not contain 0, there is enough evidence that the difference is different of 0, hence the correct option is given by:

yes, because 0 is not in the confidence interval

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Using the z-distribution, it is found that the 95% confidence interval is given by:

[tex]\overline{x} - 1.96\frac{\sigma}{\sqrt{n}}[/tex] to [tex]\overline{x} + 1.96\frac{\sigma}{\sqrt{n}}[/tex]

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

Hence, the interval is:

[tex]\overline{x} - 1.96\frac{\sigma}{\sqrt{n}}[/tex] to [tex]\overline{x} + 1.96\frac{\sigma}{\sqrt{n}}[/tex]

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There is not enough evidence to support the administrator’s claim and the true mean is not significantly greater than 280.

A hypothesis to test the given parameters requires that we determine if the mean score of the eighth graders is more than 283, thus:

The null hypothesis:

[tex]\mathbf{H_o \leq 283}[/tex]

The alternative hypothesis:

[tex]\mathbf{H_i > 283}[/tex]

From the population deviation, the Z test for the true mean can be computed as:

[tex]\mathbf{Z = \dfrac{\hat X - \mu _o}{\dfrac{\sigma}{\sqrt{n}}}}[/tex]

[tex]\mathbf{Z = \dfrac{283 -280}{\dfrac{37}{\sqrt{87}}}}[/tex]

Z = 0.756

Note that, since we are carrying out a right-tailed test, the p-value for the test statistics is expressed as follows:

P(z > 0.756)

P = 0.225

Since the P-value is greater than the significance level at α = 0.14, we can conclude that there is not enough evidence to support the administrator’s claim and the true mean is not significantly greater than 280.

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Answer:

Area : π mm²

Circumference : 2π mm

Step-by-step explanation:

Finding area :

Finding circumference :

Answer:

40%

Step-by-step explanation:

Our fraction would be 22/55. You can divide and then multiply by 100 to get your percentage.

The intersection point is only one. Then the equation of the line is tangent to the circle at point (1, -2).

It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

Prove algebraically that the straight line with equation x = 2y + 5 is a tangent to the circle with equation x² + y² = 5.

x = 2y + 5 ...1

x² + y² = 5 ...2

If the intersection of the point of the circle and line is one. Then the line is tangent to the circle.

Then from equations 1 and 2, we have

               (2y + 5)² + y² = 5

4y² + 25 + 20y + y² - 5 = 0

            5y² + 20y + 20 = 0

    5y² + 10y + 10y + 20 = 0

     5y (y + 2) + 10(y + 2) = 0

              (5y + 10)(y + 2) = 0

                                    y = -2, -2

Then the value of y is unique then the value of x will be unique.

The value of x will be

x = 2(-2) + 5

x = -4 + 5

x = 1

The intersection point is only one. Then the equation of the line is tangent to the circle at point (1, -2).

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Answer:

Hello,

11.2 is your answer!

Let's Beginnn.... READ EXPLANATION!!! ITS ALWAYS HELPS... TRUST MEEEEEEEEEEE!!!!

Step-by-step explanation:

Okay so this is clearly a pythagorean theorem question....

Imagine a ladder on a wall..... its kinda like a triangle.....

with that said... lets begin the math... A^2 + B^2 = C^2

The problem itself gives us c and a.

We have to solve for b.

33^2 - 8^2= b^2

1089 - 64 = 1025 = b^2

notice that we found b^2 but we are looking for b

so we have to take the square root....

√1025= 11.18

it says round to nearest tenth.... sooooo

11.2 is your answer!

The margin of error is 0.137 and the confidence interval for the population proportion is (0.443, 0.717).

It is defined as an error that provides an estimate of the percentage of errors in real statistical data.

The formula for finding the MOE:

[tex]\rm MOE = Z\times \dfrac{s}{\sqrt{n}}[/tex]

Where   Z is the z-score at the confidence interval

            s is the standard deviation

            n is the number of samples.

We have:

n = 50, X = 29,

Estimate point p = 29/50 = 0.58

q = 1-p = 1-0.58 = 0.42

Z at 0.05/2 (95% confidence interval) = 1.96

[tex]\rm MOE = 1.96\sqrt{\dfrac{0.58\times0.42}{50}}[/tex]

After calculating:

MOE = 0.137

Confidence interval will be: (p - MOE, p+MOE)

= (0.58-0.137, 0.58+0.137)

= (0.443, 0.717)

Thus, the margin of error is 0.137 and the confidence interval for the population proportion is (0.443, 0.717).

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Both functions are increasing, but function g increases at a faster average rate.

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

Let f(x) = abˣ + c

At x = 0, f(0) = -10. Then we have

a + c = -10

Then similarly, by satisfying the above table in f(x) will be

[tex]\rm f(x) = - \dfrac{33}{5} \left ( \dfrac{1}{11} \right )^x - \dfrac{17 }{5} \\\\f'(x ) > 0[/tex]

Then we can say f(x) is an increasing function.

[tex]\rm g(x) = - 18 \left ( \dfrac{1}{3} \right )^x +2 \\\\g'(x ) > 0[/tex]

Then we can say g(x) is an increasing function.

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Answer:

The correct answer would be option D- Both functions are increasing, but function g increases at a faster average rate.

Hope this helps and good luck!

Answer:

36

Step-by-step explanation:

calculate the 6+the Other 6 together

Answer:

36

Answer:

75 Miles apart

Step-by-step explanation:

I = inches on a map

I=25

3I=75

75 miles apart

Step-by-step explanation:

[tex] \frac{y - y0}{x - x0} \\ \frac{ - 6 - 3}{ 4 + 2} \\ - \frac{9}{6} = - \frac{3}{2} = 1.5[/tex]

Answer:

19 toys

Step-by-step explanation:

Answer:

4.7 Pounds

Step-by-step explanation:

[tex]14 \div 3≈4.6[/tex]

(Note: This symbol (≈) that looks like a squiggled equal sign means an approximate amount)

Answer:

A. Linear

Step-by-step explanation:

As the x value goes up by 1, the y value goes up by 3 each time

The measure of each of the interior angles of the regular hexagon using the Polygon Interior Angle Sum Theorem is 120°.

A polygon is a planar figure characterized by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both.

The sum of the interior angle of a polygon with 'n' number of sides is given by the formula,

The sum of the interior angle = (n-2)×180°

As it is known that a hexagon has 6 number of sides, therefore, the sum of the interior angles can be written as,

The sum of the interior angle of Hexagon = (6-2)×180° = 720°

Now, the measure of each interior angle = (720°/6) = 120°

Hence, the measure of each of the interior angles of the regular hexagon using the Polygon Interior Angle Sum Theorem is 120°.

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