5x + 4y = -1
-7x - 2y = -13

Answer: 9000

Step-by-step explanation:

Therefore,the function that has only one x-intercept at (-6, 0) is f(x) = (x + 6)(x - 6).

In this function, when you set f(x) equal to zero, you get:

(x + 6)(x - 6) = 0

For this equation to be satisfied, either (x + 6) must equal zero or (x - 6) must equal zero. However, since we want only one x-intercept, we need exactly one of these factors to be zero.

If (x + 6) = 0, then x = -6, which gives the x-intercept (-6, 0).

If (x - 6) = 0, then x = 6, but this would give us an additional x-intercept at (6, 0), which we do not want.

Therefore, the function f(x) = (x + 6)(x - 6) has only one x-intercept at (-6, 0).

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Answer:

No.

Step-by-step explanation:

The ratios would be equivalent if 5:18 was 5:10 instead.

Answer:  No; they are not equivalent.

_____________

Step-by-step explanation:

_____________

Note: The ratio:  " 1:2 " ;  can be written as:  " \(\frac{1}{2}\) " ;

         The ratio:  " 5:18 " ; can be written as: " \(\frac{5}{18}\) " .

  → " \(\frac{1}{2} \neq \frac{5}{18}\) " ;

_____________

 → " \(\frac{1}{2} = \frac{(1*9)}{(2*9)} = \frac{9}{18}\) " ;

                   → " \(\frac{9}{18} \neq \frac{5}{18}\) " ;

_____________

 → " \(\frac{1}{2} = \frac{(1*5)}{(2*5)} = \frac{5}{10}\) " ;

                   → " \(\frac{5}{10} \neq \frac{5}{18}\) " ;

_____________

 → " \(\frac{5}{18} = \frac{(5/9)}{(18/9)} = \frac{0.5555555555...}{2}\) " ;

_____________

                   → " \(\frac{0.555555555...}{2} \neq \frac{1}{2}\) " ;

_____________

 → " \(\frac{5}{18} = \frac{(5/5)}{(18/5)} =\frac{1}{(3.6)}\) " ;

                   → " \(\frac{1}{(3.6)} \neq \frac{1}{2}\) " .

_____________

Hope this helps!

Best wishes!

_____________

Answer:

600cm³

Step-by-step explanation:

30/25=1.2

1.2×500=600

Answer:

D) 9/2

Step-by-step explanation:

According to the given information, the sample period should be from 2010-2020.

a) Model specification

The model specification based on the scenario above is as follows:

SDF= f(T, TI, NL)

Where: SDF= Sustainable Development Framework

T= Tourism

TI= Technological innovation

NL= National leadership

b) Justification for the selection of the dependent and independent variables model:

Dependent variable: The dependent variable in this model is Sustainable Development Framework (SDF). The model seeks to develop a framework for sustainable development that would facilitate growth, environmental and socio-cultural sustainability.

Independent variables:

The independent variables are tourism sustainability, technological innovation, and quality of leadership. These variables drive economic development. The inclusion of tourism sustainability reflects its importance in the global economy and its potential to drive growth.

The inclusion of technological innovation reflects its potential to enhance productivity and create new industries. The inclusion of national leadership reflects the role of governance in promoting sustainable development and managing negative externalities.

c) Justification for the selection of the sample period:

The sample period should be selected based on the availability of data for the variables of interest. Ideally, the period should be long enough to capture trends and patterns in the data. However, it should not be too long that the data becomes obsolete or no longer relevant.

Additionally, the period should also reflect the context and relevance of the research question. Therefore, the sample period for this study should cover the last decade to capture the trends and patterns in the data and reflect the relevance of the research question.

The sample period should be from 2010-2020.

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Given:

Consider the below figure attached with this question.

To find:

The surface area of this solid prism.

Solution:

The surface area of this solid prism is

\(A=P\times h+2B\)

Where, P is the perimeter of the base, B is the area of the base and h is the height of the prism.

Perimeter of the base is:

\(P=6+8+10\)

\(P=24\)

Area of the base is:

\(B=\dfrac{1}{2}\times base\times height\)

\(B=\dfrac{1}{2}\times 8\times 6\)

\(B=24\)

Putting \(P=24\) and \(B=24\) in the formula for area, we get

\(A=(24)\times 9+2(24)\)

\(A=216+48\)

\(A=264\)

Therefore, the surface area of the given prism is 264 m².

Answer:

5

Step-by-step explanation:

Well, there are 4 "s" blocks that make up one "20" units block. So all you have to do is to divide 20/4 to get 5.

By considering the given information that angles 21 and 23 are supplementary and analyzing the properties of supplementary angles and parallel lines, we have proven that segment HI is parallel to segment JK.

To prove that segment HI is parallel to segment JK based on the given information that angles 21 and 23 are supplementary, we can utilize the properties of supplementary angles and parallel lines.

First, let's examine the given figure and information.

We have a capital letter A with serifs, where segment HI represents one of the serifs, and segment JK represents a horizontal line within the letter A.

To begin the proof, we'll make use of the fact that angles 21 and 23 are supplementary.

Supplementary angles are defined as two angles whose measures sum up to 180 degrees.

We can observe that angle 21 is an interior angle of triangle AHI, and angle 23 is an interior angle of triangle AJK.

Since angles 21 and 23 are supplementary, their sum is equal to 180 degrees.

Now, let's assume that segments HI and JK are not parallel.

In this case, if we extend lines HA and JA, they will eventually intersect at point P.

Since the angles formed at the point of intersection are supplementary (angle 21 + angle 23 = 180 degrees), it would imply that angle 21 and angle PJK, as well as angle 23 and angle PHI, are also supplementary.

However, this leads to a contradiction. In the original figure, we can observe that angle 21 and angle PJK do not form a supplementary pair since angle PJK is a right angle (90 degrees) in the letter A.

Therefore, our assumption that segments HI and JK are not parallel must be incorrect.

Consequently, we can conclude that segment HI is indeed parallel to segment JK.

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Answer:

4.75

Step-by-step explanation:

19 goes into 4 4 times, so we are left with 4 3/4. 3/4 is 0.75, so we have 4.75 as our answer.

Answer:

4.75

Step-by-step explanation:

20/4 = 5

19 is very close to twenty, so assume it is 4.75

or use calculator and know it is 4.75

Answer:

3060

Step-by-step explanation:

Answer:

3,060

Step-by-step explanation:

9000 x 0.34 = 9000 x 34/100

9000 x 34/100 = 306000/100

306000/100 and 100/100 = 3060

The equation that represents the volume, V, as a function of the height, h, is V(h) = 36π × h.

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

In this case, the radius is given as 6 meters. So, substituting r = 6 into the formula, we get:

V = π × (6)² × h

Simplifying this expression, we get:

V = π × (6)² × h

V = 36π × h

Therefore, the equation that represents the volume is V(h) = 36π × h.

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Answer:

\(x < 0\)

Step-by-step explanation:

Given

The expression is:

\(-3x > 0\)

Required

Determine the inequality

\(-3x > 0\)

Divide both sides by -3

\(\frac{-3x}{-3} > \frac{0}{-3}\)

The inequality sign changes after the division because we're dividing be a negative number (-3).

So, we have:

\(x < 0\)

Hence, the inequality is: \(x < 0\)

The number of choices for all the possible passwords are 43,056,000

Given, we have to make a password which includes 4 characters and 4 even digits. And none of the characters or digits can be used more than once. So, For the first character we have 26 choices as we can use any character from the alphabet. For the 2nd character we get 25 choices as we cant choose the first character already twice. Similarly, for 3rd character we get 24 choices and for 4th character we get 23 choices.

Now for the digits, we can only use even digits 0,2,4,6,8 with no repetition allowed. Therefore, for first digit we can choose any digit so we get 5 choices. For the 2nd digit we get 4 choices. For the 3rd digit we get 3 choices. For the 4th digit we get 2 choices.

Noe, to find all the possible combinations , we just need to multiply all the choices :

⇒ 26 x 25 x 24 x 23 x 5 x 4 x 3 x 2

⇒ 43,056,000

Therefore, the total number of all the possible combination of passwords according to the given condition is 43,056,000.

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We conclude that less than 30% of teen girls smoke to stay thin.

Let p be the percentage of teen girls who smoke to stay thin.

So, the Null Hypothesis,(\(H_{0}\)):

p≥ 30%

This means that at least 30% of teen girls smoke to stay thin

Alternate Hypothesis,(\(H_{A}\)) :

p < 30%

This means that less than 30% of teen girls smoke to stay thin.

The test statistics that would be used here

One sample z proportion statistics:

T.S = p' - p/ \(\sqrt{p'(1-p')/n}\) ≈N( 0,1)

Here p'= sample percent of teen girls who smoke to stay thin = 63/ 273 = 0.231

n = number of sample of teen girls = 273

Now putting these values we have:

Test statistics = 0.231 - 0.30/ \(\sqrt{0.231( 1- 0.231)/ 273}\)

                      = -2.705

So we get the value of z-test statistics as - 2.705.

As there is not provided in the question that the level of significance so we assume it to be 5%. Now at a 5% significance level, the z table gives the critical value of -1.645 for left- the tailed test.

As test statistics is less than the critical value of z that is -2.705< -1.645. So we reject our null hypothesis as will fall in reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore we get that less than 30% of teen girls smoke to stay thin.

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Answer:

STAN LOONA

Step-by-step explanation:

The statement "The t-distribution approaches the standard normal distribution when the number of degrees of freedom increases" is True.

The t-distribution approaches the standard normal distribution when the number of degrees of freedom (df) increases.

A t-distribution with a large number of degrees of freedom is similar to a standard normal distribution.

As the number of degrees of freedom increases, the distribution of t gets narrower and taller, and the distribution of Z becomes wider and flatter.

This is due to the fact that the t-distribution becomes closer to the normal distribution as the sample size grows.

When n, the sample size, is greater than or equal to 30, the t-distribution is approximately the same as the normal distribution.

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The measure of angle 'a' is 64.8°.

What is supplementary angles?

Two angles are considered to be supplementary if their sums total 180 degrees.

For instance, angle 130° and angle 50° are supplementary angles since the sum of these two angles is 180°.

The given angle is a = 115.2°.

We have to find the angle 'b' supplementary to the angle 115.2°.

Since, sum of supplementary angles is 180 degrees.

⇒ a + b = 180°

115.2 + b = 180°

Subtract 115.2° from both sides,

b = 180° = 115.2°

b = 64.8°

Hence, the measure of angle 'b' which is supplementary to angle 'a' is 64.8°.

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Step-by-step explanation:

Multiply both sides by

\( {r}^{2} = 10r \sin( \alpha ) + 10r \cos( \alpha ) \)

Recall that

\( {r}^{2} = {x}^{2} + {y}^{2} \)

\(x = r \cos( \alpha ) \)

\(y = r \sin( \alpha ) \)

So we have

\( {x}^{2} + {y}^{2} = 10y + 10x\)

\( {x}^{2} - 10x + {y}^{2} - 10y = 0\)

Complete the square for both equations and we will get

\( {x}^{2} - 10x + 25 + {y}^{2} - 10y + 25 = 50\)

\((x - 5) {}^{2} + (y - 5) {}^{2} = 50\)

This is a circle with a center (5,5) and a radius of 5 times root 2.

Answer:

1/3

Step-by-step explanation:

The slope increases by 1/3.

The slope formula is y2-y1/x2-x1.

When you plug in the points and simplify, you get 1/3.

The claim states that if 3a - 5b is not divisible by 4, then gcd(a, b) is not equal to 1. We can prove this claim by contrapositive reasoning, assuming gcd(a, b) = 1 and showing that if 3a - 5b is not divisible by 4, then gcd(a, b) is not equal to 1.

To prove the claim by contrapositive, we assume gcd(a, b) = 1 and show that if 3a - 5b is not divisible by 4, then gcd(a, b) is not equal to 1.
Assume 3a - 5b is not divisible by 4. We want to show that gcd(a, b) is not equal to 1.
Suppose gcd(a, b) = 1. This means that a and b have no common factors other than 1.
Now, let's consider the expression 3a - 5b. Since a and b have no common factors other than 1, their linear combination 3a - 5b cannot eliminate the factor of 2 in the denominator of 4.
If 3a - 5b is not divisible by 4, it implies that there is a factor of 2 remaining in the expression. This means that gcd(a, b) is not equal to 1.
Therefore, by contrapositive reasoning, if 3a - 5b is not divisible by 4, then gcd(a, b) is not equal to 1.

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Answer:

put it in pounds then i can help

Step-by-step explanation:

The Work Done by the boy is 431.2 N-m.

To move an object, it should be transferred to energy. Transferring energy can be in the method of force. This quantity of energy transferred by the force to move an object is termed work done.

Given, A boy of mass 8000g climbed a tree of height 5.5 m.

Since, 1,000 grams = 1 kg

Mass of the boy = 8 Kg

Since,

Weight = mass  * gravity

Weight = 8 kg * 9.8

Weight = 78.4 N

Since,

Work done = force * displacement

in our case,

displacement = 5.5 m

Work done = 78.4 * 5.5

Work done = 431.2N-m

Therefore, The Work Done by the boy is 431.2 N-m.

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The function that is likely the best fit is given as follows:

Logarithmic regression.

The function of a best fit is a logarithmic regression, as the function starts with a fast increasing rate until it approaches the vertical asymptote.

As for the other options, we have that:

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The following binary number has the value of 157 in decimal form.

Step 1: Compose the binary number in writing. 10011101

Multiplying each binary digit by the corresponding power of two in step two:

1x27 + 0x26 + 0x25 + 1x24 + 1x23 + 1x22 + 0x21 + 1x20

Solve the powers in Step 3:

1x128+0x64+0x32+1x16+8+4+0x2+1x1=128+0 + 0 + 0 + 16+8+4+0 + 0 + 1

Step 4: Add the figures listed above:

128 + 0 + 0 + 16 + 8 + 4 + 0 + 1 = 157.

A binary number is a number that is expressed in the binary system or base 2 numeral system, according to digital technology and mathematics. It talks about numerical values.by the two distinct digits 1 (one) and 0 (zero). The base-2 system is the positional notation that uses 2 as the radix.

A number that has been divided into a whole and a fraction is called a decimal. To express the numerical value of entirely and partially entire quantities between integers, decimal numbers are used.

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Answer:

Factors

Step-by-step explanation:

To find the roots of a polynomial, [factors] help the process of finding them

Answer:

It should be 101

Answer: (x + 3)^2 + (y + 8)^2 = 14pi^2

(x-h)^2 + (y-k)^2 = r^2

Mr. Schwartz will need to order more wheels after building 12 cars.

The number of cars x Mr. Schwartz builds before he places an order for more wheels can use the following steps:

Determine how many wheels are used per car:

4 wheels/car

Determine the number of wheels available at the start of the week:

85 wheels

Determine the minimum number of wheels needed to be available before placing an order:

40 wheels

Set up an inequality to represent the situation using x to represent the number of cars built before an order is placed:

Number of wheels used = 4x

Number of wheels remaining = 85 - 4x

Order is placed when number of wheels remaining is less than 40:

85 - 4x < 40

Solve for x by isolating the variable:

85 - 4x < 40

-4x < -45

x > 11.25

Since x represents the number of cars built can't have a fractional value for x.

The nearest integer to get the minimum number of cars that need to be built before an order is placed:

x > 12

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