A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service.

C) 36 yards   18*6=108

108ft to yards is 36

Answer:C

Step-by-step explanation:

Each jump rope is 6 feet long, so 18 jump ropes would require a total of:

18 x 6 = 108 feet of rope

Since there are 3 feet in a yard, we can convert 108 feet to yards by dividing by 3:

108 ÷ 3 = 36 yards

Therefore, the football coach should buy 36 yards of rope. The answer is (C).

Answer:

1220.4

Step-by-step explanation:

S.I.=P×R×T÷100

=6000×4.52×4  1/2÷100

=6000×4.52×9÷2×100

=60×4.52×9÷2

=30×4.52×9

=1220.4

The quadratic equation that would correctly represent the situation is  2x^2 + 2x - 24 = 0

We know that the quadratic equation can be obtained if we look at the Pythagoras theorem. From the Pythagoras theorem we have the following;

c^2 = a^2 + b^2

Let the hypotenuse be c and the longer side x + 1

We now have;

5^2 = x^2 + (x+ 1)^2

5^2 = x^2 + x^2 + 2x + 1

25 = 2x^2 + 2x + 1

2x^2 + 2x - 24 = 0

The equation is thus;  2x^2 + 2x - 24 = 0

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Answer:

A) 3.996 inches

B) 0.01

C) option B

Step-by-step explanation:

Note: The diameter of the lid is between : 3.95 and  4.05

A) calculate the supplier set mean diameter

std = 0.02 inch

P( x < 3.95 ) = 1% = 0.01

= P ( Z < \((\frac{3.95 - u }{0.02})\) ) = P ( Z < -2.3263 ) = 0.01

therefore :

\((\frac{3.95 - u }{0.02})\)  = -2.3263

hence : u = 3.996 inches ( mean diameter )

B) At mean diameter = 3.98 calculate the value of std

P ( X < 3.95 ) = 0.01

= P ( Z < \(( \frac{3.95-3.98 }{std } )\) )  = P ( Z < -2.3263 ) = 0.01

therefore

\(( \frac{3.95-3.98 }{std } )\) = -2.3263

hence std = 0.01 inch

C) option B is preferable because its mean diameter is smaller and  the percent of lids too large to fit is considered more carefully using option B

ANSWER

32

STEP-BY-STEP EXPLANATION:

The expression is given below as

To solve this expression, we need to apply the law of indices

Let x = 1/2

substitute the value of x = 1/2 into the above-simplified expression

Hence, (1/2)^-5 is 32

30/2+8

30/2=15

15+8=23

she finished with $23

Answer:

\(23\) dollars.

Step-by-step explanation:

Ava started with:

\($30\)

She spent half of what she had (Half of 30 is 15), so we have to subtract:

\(30-15\)

Ava now has:

\(15\)

She then earns 8 dollars, so we have to add:

\(15+8\)

Ava finishes with:

\(23\)

C. Median is less than the mean.

In a positively skewed distribution, the mean is greater than the median.

Answer:

Gabriela Can Make 6 Bows.

Step-by-step explanation:

30 ÷ 5 = 6

So Gabriela Has Enough Ribbon To Make 6 Bows.

Answer:

I think the answer is C

Step-by-step explanation:

If you have a normal ginger bread cookie, its full size would be 100%. So, if you add the first 25%, 1.25%

The expression best describes the new length of the cookie will be 1.25y.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that:-

The initial length of the cookie is y after baking the length is increased by 25%

=   y  +  25%y

=   y   +  ( 25 / 100 ) y

=   y  +  0.25 y

=  1.25 y

Therefore the expression best describes the new length of the cookie will be 1.25y.

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Answer:

y = 4x + 23

Step-by-step explanation:

\(y-y_{1}=m(x-x_{1} )\\y-3=4(x-(-5))\\y-3=4(x+5)\\y-3=4x+20\\y=4x+23\)

The equation of the line is required.

The equation of the line is \(y=4x+23\)

\(m\) = Slope of line = 4

Point = \((-5,3)\)

\(x_1=-5\)

\(y_1=3\)

Equation of a line is given by

\(y-y_1=m(x-x_1)\\\Rightarrow y-3=4(x-(-5))\\\Rightarrow y-3=4x+20\\\Rightarrow y=4x+20+3\\\Rightarrow y=4x+23\)

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Answer:

B - yes

Step-by-step explanation:

If (n - 9) is a factor then when evaluated at n = 9, if the result is zero then it is a factor of the polynomial, that is

9³ + 9² - 84(9) - 54

= 729 + 81 - 756 - 54

= 0

Since the result is zero then (n - 9) is a factor of the polynomial

The two positive numbers are 36 and 72 which gives a sum equal to 108 and the product of 36 and the square of 72 is a maximum.

Any integer greater than zero is considered a positive number. A positive number can either be written as a number or with the "+" symbol in front of it.

Let us consider the two positive real numbers as x and y. Then, their sum is written as,

x+y=108

Then, y=108-x

And the product is written as,

P=xy²

Substitute value of y in the above equation, we get,

\(\begin{aligned}P&=x(108-x)^2\\&=x(11664-216x+x^2)\\&=11664x-216x^2+x^3\\&=x^3-216x^2+11664x\end{aligned}\)

Now, differentiate P with respect to x, and we get,

\(\begin{aligned}\frac{dP}{dx}&=3x^2-432x+11664\\&=x^2-144x+3888\end{aligned}\)

Solving the above equation to zero, we get,

\(\begin{aligned}x^2-144x+3888&=0\\x^2-36x-108x+3888&=0\\x(x-36)-108(x-36)&=0\\(x-108)(x-36)&=0\\x&=\text{108 or 36}\end{aligned}\)

Substitute values of x in y=108-x, to get values of y.

If we substitute x=108, we get the y value as zero which doesn't give the required solution.

But, if we substitute x=36, we get,

\(\begin{aligned}y&=108-36\\y&=72\end{aligned}\)

Thus, the two positive numbers are 36 and 72.

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The slope of the line y = 5x + 4 is 5.

Slope i.e. m = 5.

Given, a line of equation

y = 5x + 4

We have to find the slope of the given line,

Now, as we know the slope-intercept form of a line i.e.

y = mx + c

where, m is the slope of the line and c is the y-intercept of the line.

So, using the same form in the line, we get

y = 5x + 4

the slope of the line is 5.

Hence, the slope of the line y = 5x + 4 is 5.

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A graph of the linear function (y = 2x - 3) which matches the answer is shown in the image attached below.

A graph refers a type of chart that's commonly used for the graphical representation of data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

Generally speaking, the graph of any proportional relationship such as a linear function is characterized by a straight line with the points passing through the origin (0, 0) because as the values on the x-axis decreases or increases, the values on the y-axis decreases or increases simultaneously as shown in the image attached below.

In conclusion, a graph representing the given linear function shows a proportional relationship between the value of x and y.

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The scatter plot shows any linear association. Option (B)

A scatter plot (aka scatter chart, scatter graph) uses dots to represent values for two different numeric variables. The position of each dot on the horizontal and vertical axis indicates values for an individual data point. Scatter plots are used to observe relationships between variables.

A table is an arrangement of information or data, typically in rows and columns, or possibly in a more complex structure.

Advantages of scatter plot

From the above advantages, we can conclude on the answer which is Option (B)

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The number of Blake's scores that are within one standard deviation from the mean are; Five scores

The standard deviation is obtained from the square root of the squared average of the squared differences between each data point in the dataset and the mean.

The mean of the scores is; (100 + 85 + 55 + 95 + 75 + 100)/6 = 85

The square of the difference are;

(100 - 85)² = 225, (85 - 85)² = 0, (55 - 85)² = 900, (95 - 85)² = 100, (75 - 85)² = 100, and (100 - 85)² = 225

The sum of the squares of the difference from the mean is therefore;

225 + 0 + 900 + 100 + 100 + 225 = 1550

The variance = The average of the squared deviation is therefore;

Variance = 1550/6 = 258.\(\overline{3}\)

The standard deviation is therefore; σ ≈ √(258.\(\overline{3}\)) ≈ 16.07

The scores that are one standard deviation from the mean are;

85 - 16.07 ≤ Score ≤ 85 + 16.07

68.93 ≤ Score ≤ 101.07

Therefore, the scores that are within one standard deviation from the mean are; 75,  85, 95, 100, 100, therefore, five scores are within one standard deviation from the mean.

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When performing a significance-test for comparing dependent means, several assumptions are necessary to make a valid inference- Normality, Equal variances, Independence,Random-sampling.

Some of these assumptions are:

Normality: The distribution of differences between the paired observations must be approximately normal.

This can be assessed using a normal probability plot or by conducting a normality test.

Equal variances: The variances of the paired differences should be approximately equal.

This can be assessed using the Levene's test.

Independence: The paired differences should be independent of each other.

This means that each observation in one sample should not influence the corresponding observation in the other sample.

Random sampling: The observations should be selected randomly from the population of interest.

This ensures that the sample is representative of the population.

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Answer:

A. 8

Step-by-step explanation:

We are given the functions:

\(f(x)=\sqrt{x}\\\\g(x)=7x+b\)

    We are told that on a standard (x, y) coordinate plane that y = f(g(x)) passes through the point (4, 6). In order to solve for b, we need to figure out what f(g(x)) is equal to.

    As with a regular function like the two above, f(g(x)) means you are substituting x with g(x) in function f. The problem gave us the two functions, so I will demonstrate what I mean.

\(f(g(x))=\sqrt{(7x+b)}\)

    The problem again tells us that y = f(g(x)) goes through (4, 6). Substitute those values for their respective variables and solve for b.

\(y=f(g(x))\\\\y=\sqrt{(7x+b)}\\\\6=\sqrt{(7(4)+b)}\\\\6=\sqrt{(28+b)}\\\\(6)^2=(\sqrt{(28+b)})^2\\\\36=28+b\\\\36-28=28+b-28\\\\8=b\)

Therefore, the value of b is equal to 8.

The fixing of east and west Germany's currencies at a 1:1 ratio to each other during the German unification in 1990 is an example of a fixed exchange rate policy

We know

The fixed exchange rate policy is the rule to ties the country's official currency exchange rate to another country's currency which set by the central bank or government.

Here,

The fixing of east and west Germany's currencies at a 1:1 ratio to each other during the German unification in 1990. The fixed exchange policy is used here

Hence, The fixing of east and west Germany's currencies at a 1:1 ratio to each other during the German unification in 1990 is an example of a fixed exchange rate policy

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Answer:

-2,4.39,-32

Step-by-step explanation:

1. 0

2.4.39

3. -32

Here is your answer

Without knowing the transfer function and the arrangement of poles and zeros, it is not possible to determine the frequency at which the gradient is -40 dB/decade in a Bode plot.

In a Bode plot, the gradient represents the slope of the line that connects two consecutive asymptotes. Each asymptote corresponds to a pole or zero in the transfer function.

Therefore, to determine when the gradient is equal to -40, we need to find the frequency at which two consecutive asymptotes have a 40 dB difference in magnitude.

In general, the magnitude of the transfer function for a system with a single pole or zero can be expressed as:

|H(jω)| = K / |1 + jω/ωp| (for a pole)

or

|H(jω)| = K |1 + jω/ωz| (for a zero)

where K is the system gain, ωp is the pole frequency, and ωz is the zero frequency.

When there are multiple poles and zeros, the magnitude is the product of the individual magnitudes. The phase angle also depends on the number and type of poles and zeros.

For a single pole, the magnitude asymptote has a slope of -20 dB/decade (i.e., a decrease of 20 dB for each increase in frequency by a factor of 10). Therefore, two consecutive poles will have a 40 dB difference in magnitude when the frequency is such that the first pole's magnitude asymptote intersects the second pole's magnitude asymptote. This occurs when the frequency is one decade below the second pole's frequency.

For a single zero, the magnitude asymptote has a slope of +20 dB/decade (i.e., an increase of 20 dB for each increase in frequency by a factor of 10).

Therefore, two consecutive zeros will have a 40 dB difference in magnitude when the frequency is such that the first zero's magnitude asymptote intersects the second zero's magnitude asymptote. This occurs when the frequency is one decade above the second zero's frequency.

In general, when there are multiple poles and zeros, the frequency at which two consecutive asymptotes have a 40 dB difference in magnitude will depend on the specific values and arrangement of the poles and zeros.

Your question seems incomplete. I could not find the exact question details online so I answered in general.

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Answer:

D

Step-by-step explanation:

The one that goes through (-2,0), (-1,-1) and (0,0)

Answer:

The probability that the spark plugs are supposed to have a gap between 3.9mm and 4.3mm.

P(3.9≤X≤4.3)  = 0.9922

Step-by-step explanation:

Step(i):-

Given that the mean of the Normal distribution = 4.1mm

Given that the standard deviation of the Normal distribution = 0.0075mm

Let 'X' be the random variable in a normal distribution

Given that X₁ = 3.9mm

\(Z_{1} = \frac{X_{1} -mean}{S.D}\)

\(Z_{1} = \frac{3.9 -4.1}{0.075} = -2.666\)

Given that X₂ = 4.3mm

\(Z_{2} = \frac{X_{2} -mean}{S.D}\)

\(Z_{1} = \frac{4.3 -4.1}{0.075} = 2.666\)

Step(ii):-

The probability that the spark plugs are supposed to have a gap between 3.9mm and 4.3mm.

P(3.9≤X≤4.3) = P(-2.666≤Z≤2.666)

                     = P(Z≤2.666)-P(Z≤-2.666)

                    = 0.5 +A(2.666) - (0.5-A(2.666)

                   = 2 × A(2.666)

                 = 2×0.4961

                 = 0.9922

Final answer:-

The probability that the spark plugs are supposed to have a gap between 3.9mm and 4.3mm.

P(3.9≤X≤4.3)  = 0.9922

Answer:

\(2.28*10^7\)

Step-by-step explanation:

\((2.4*10^3)(9.5*10^3)=(2.4*9.5)(10^3*10^3)=22.8*10^6=2.28*10^7\)

Answer:

228,000

Step-by-step explanation:

(2.4x10^3) x (9.5x10^3)

(2.4x100) x (9.5x100)

240x950

228,000

Answer:

120/100

Step-by-step explanation:

120÷20= 6

100÷20=5

6/5 = 1⅕

Calibrations errors.

Systematic error.

The principal explanation or reason for anomalies (deviations from theory) found in your mapped electric fields is related to the equipment used.

Two sources of random (statistical) error could include inaccuracies in the measurement device and fluctuations in the environment.

Two sources of systematic error could include calibrations errors of the equipment and interference from external sources.

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Answer:

6.66 % per year.

Step-by-step explanation:

Hope it help you

Answer:

66 percent per year

Step-by-step explanation:

I hope this will help you

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Answer:

1.   21z² - 35nz + 56n²

2.   18y + 8

3.   12z³ - 24z² + 28z

4.   56c³ + 14c²g + 21cg²

5.   21p⁵ + 42p⁴- 63p³

6.   35g⁴ + 14g³ + 21g²

7.   54c² - 27cz

8.   24n² + 15n + 18

9.   40k⁴ + 16k³p + 24k²p²

10.   45z⁵ - 36z⁴h - 63z³h²

Plz mark brainliest :)