a local mechanic keeps track of the number of customers each day, x, and the revenue for that day, y. he hired a data analyst to make a model for the data. the analyst gave him the table below that shows the number of customers and the predicted revenue. suppose the mechanic had a day with 10 customers and a revenue of $1243. what is the residual? x y^ 5 620 6 702 7 784 8 866 9 948 10 1030 11 1112 12 1194 13 1276

Answer:

8.3\(cm^{3}\)

Step-by-step explanation:

Hence,

Distance of B and P on x axis= Distance of K and S on y axis

\(\\ \sf{:}\longrightarrow 8-5=3\)

.Hence.

K(0,-12+2)=K(0,-9)

coordinate of K is (0,7.5) or (0,\(\frac{15}{2}\)}

and

scale factor=\(\frac{5}{8}\)

Answer:

solution given:

O(0,0)

B(5,0)

P(8,0)

K(0,x)

S(0,-12)

and

ΔBOK \(\sim\) ΔPOS

Now

By using the distance formula

d=\(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

OB=\(\sqrt{(5-0)^2-(0-0)^2} =5\)

OP=\(\sqrt{(8-0)^2-(0-0)^2} =8\)

OK=\(\sqrt{(0-0)^2-(x-o)^2} =x\)

OS=\(\sqrt{(0-0)^2-(-12-0)^2} =12\)

since

ΔBOK is similar to ΔPOS

So their side will be proportional.

\(\frac{OK}{OS}=\frac{OB}{OP}\)

taking two proportional only

\(\frac{x}{12} =\frac{5}{8}\)

\(x=\frac{ 12*5}{8}=\frac{15}{2}\)=7.5

Now

coordinate of K is (0,7.5) or (0,\(\frac{15}{2}\)}

and

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

scale factor=\(\frac{OB}{OP}=\frac{5}{8}\)

Step-by-step explanation Answer:

A -1253

-489-764 = -1253

Safety data sheets (SDS) are not only required when there are 10 gallons. This statement is false. SDS, also known as material safety data sheets (MSDS), are required for hazardous substances, regardless of the quantity.

Safety data sheets provide detailed information about the potential hazards, handling, and emergency measures for substances. They are required under various regulations, such as the Occupational Safety and Health Administration (OSHA) Hazard Communication Standard (HCS) in the United States.

The quantity of the substance does not determine the need for an SDS. For example, even if a small amount of a highly hazardous substance is present, an SDS is still necessary for safety reasons.

SDS help workers and emergency personnel understand the risks associated with a substance and how to handle it safely. It is essential to follow proper safety protocols and provide SDS for hazardous substances, regardless of the quantity.

To know more about Protocols visit.

https://brainly.com/question/28782148

#SPJ11

In standard nomenclature, a normally distributed dataset is represented as \(N(µ, σ^2)\), where µ is the mean and \(σ^2\)is the variance (square of the standard deviation).

A normally distributed phenomenon using standard nomenclature can be described as follows:

A dataset is said to be normally distributed if it follows a bell-shaped curve, which is symmetrical around the mean (µ) and characterized by its standard deviation (σ). In standard nomenclature, a normally distributed dataset is represented as \(N(µ, σ^2)\), where µ is the mean and \(σ^2\)is the variance (square of the standard deviation).

For example, if we consider the heights of adult males in a large population, we may observe that the distribution is normally distributed with a mean height (µ) of 175 cm and a standard deviation (σ) of 10 cm. In this case, the nomenclature for this normally distributed phenomenon would be N(175, 100), as the variance is \(10^2 = 100\).

Learn more about nomenclature here:

https://brainly.com/question/13717281

#SPJ11

The midpoint Riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width is 9980

The midpoint Riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width is calculated by summing the area of each subinterval under the midpoint of the interval.

The formula for the midpoint Riemann sum is given by:

Sum = (width of interval) * (height of midpoint)

For this problem, since the width of each interval is 16/4 = 4, the midpoint Riemann sum is calculated by:

Sum = 4 * (1 + (16/4)^3 + (32/4)^3 + (48/4)^3)

Substituting the values for each midpoint, we get the following equation:

Sum = 4 * (1 + 4^3 + 8^3 + 12^3)

This simplifies to:

Sum = 4 * (1 + 64 + 512 + 1728)

Therefore, the midpoint Riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width is:

Sum = 4 * (2495)

Sum = 9980

Learn more about Riemann sum here:

https://brainly.com/question/30241844

#SPJ4

The pieces of cloth are beyond the standard at 0.05 level of significance.

We can use a one-sample t-test to determine if the mean length of the 35 pieces of cloth is significantly different from the standard length of 3.25 meters.

The null hypothesis is that the mean length of the cloth pieces is equal to the standard length:

H0: μ = 3.25

The alternative hypothesis is that the mean length of the cloth pieces is greater than the standard length:

Ha: μ > 3.25

We can calculate the test statistic as:

t = (x - μ) / (s / √n)

where x is the sample mean length, μ is the population mean length (3.25 meters), s is the sample standard deviation (0.52 meters), and n is the sample size (35).

Plugging in the values, we get:

t = (3.52 - 3.25) / (0.52 / √35) = 3.81

Using a t-table with 34 degrees of freedom (n-1), and a significance level of 0.05 (one-tailed test), the critical t-value is 1.690.

Since our calculated t-value (3.81) is greater than the critical t-value (1.690), we reject the null hypothesis and conclude that the mean length of the 35 pieces of cloth is significantly greater than the standard length at the 0.05 level of significance.

Know more about level of significance here:

https://brainly.com/question/30542688

#SPJ11

To eliminate the parameter and convert the parametric equations into one rectangular equation, we need to express one variable in terms of the other variable.

Given x(t) = 2cos(t) and y(t) = 4sin(t), we can solve the first equation for cos(t) and substitute it into the second equation to eliminate the parameter:

x(t) = 2cos(t) => cos(t) = x(t)/2

Substituting this value of cos(t) into y(t), we get:

y(t) = 4sin(t) => y(t) = 4sin(t) = 4sqrt(1 - cos^2(t)) = 4sqrt(1 - (x(t)/2)^2)

Simplifying further, we have:

y(t) = 4sqrt(1 - (x(t)/2)^2) = 4sqrt(1 - x(t)^2/4) = 2sqrt(4 - x(t)^2)

Therefore, the rectangular equation that represents the parametric equations is y = 2sqrt(4 - x^2), which corresponds to option (C).

Learn more about parametric equations here: brainly.com/question/29275326

#SPJ11

To identify the vertical asymptotes, we have to factor the denominator. For horizontal asymptotes, we compare the degrees of the numerator and denominator.

For rational functions, there are vertical and horizontal asymptotes. To identify the vertical asymptotes, we first have to factor the denominator. After that, we should look for values that make the denominator zero. These values can be found by setting the denominator equal to zero and solving for x. The resulting x values would be the vertical asymptotes of the function.

The horizontal asymptote is the line that the function approaches as x goes towards infinity or negative infinity. For rational functions, the horizontal asymptote is found by comparing the degrees of the numerator and the denominator.

If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degree of the numerator is equal to the degree of the denominator, the horizontal asymptote is y = the ratio of the leading coefficients. If the degree of the numerator is greater than the degree of the denominator, there is no horizontal asymptote.

To know more about the vertical asymptotes visit:

https://brainly.com/question/31315562

#SPJ11

Answer:

The radius is 2

Answer:

the answer is 2 hope this helps

Answer:

A)-7

B)2

C)-2

D)-4

Step-by-step explanation:

Answer:

well the (a) is -3 and (c) is 2

Step-by-step explanation:

With Square Payments, you can easily and safely accept all forms of payment. You can collaborate with customers rather than competing with them when it comes to how they want to pay for goods and services when you use Square Payments.

Through Square, you can accept credit cards, Apple Pay, Android Pay, and a lot of other payment options. A client is an individual or company who purchases goods or services from another company. Customers are essential because they produce income. Without them, companies would cease to exist. A customer is the recipient of a good, service, product, or idea in sales, commerce, or economics that they have purchased from a seller, vendor, or supplier in exchange for money or another useful consideration. When a customer buys something and uses it themselves, they are considered a consumer. Although they might not be the final users, customers always buy goods or services. Although they might not have paid for it, consumers are always the ones who use a good or service in the end.

To know more about customers here

https://brainly.com/question/29250610

#SPJ4

Answer:

Roots: (-2,0) (0,0) (4/3,0)

Just math bro

Answer:

  2. do part 3, then subtract area not painted from the overall area

  3. triangle: 16 ft²; semicircle: 6.28 ft²; rectangle: 48 ft²

  4. 57.72 ft²

Step-by-step explanation:

The area that needs to be painted can be found by determining the overall area of the shape and subtracting the area that is not painted.

__

The area of the triangle is given by the formula:

  A = 1/2bh

  A = 1/2(8 ft)(4 ft) = 16 ft²

The area of the semicircle is ...

  A = 1/2πr²

  A = 1/2(3.14)(2 ft)² = 6.28 ft²

The area of the rectangle is ...

  A = bh

  A = (8 ft)(6 ft) = 48 ft²

__

The triangle and rectangle are painted. They constitute the overall shape of the set piece. The semicircular window is a hole, so does not need to be painted. Then the painted area is ...

  triangle area + rectangle area - semicircle area

  = 16 ft² +48 ft² -6.28 ft² = 57.72 ft² . . . painted area

Given the following quadratic function:

\(f(x)=x^2+2x+4\)

We need to identify the option that is not true.

A quadratic function is a polynomial function that involves a term of x².

It can be represented in the form of:

\(f(x)=ax^2+bx+c\)

where a, b, and c are constants.

Here, a ≠ 0.

Thus, we can see that the given quadratic function has a positive coefficient of the x² term.

Hence, its graph opens upwards.

The maximum value of the quadratic function occurs at the vertex of the parabola.

And the vertex of the parabola is given by:

\((\frac{-b}{2a},\frac{-\Delta}{4a})\)

where \(\Delta=b^2-4ac\)

Hence, the vertex of the given function f(x) is given by:

\((\frac{-2}{2},\frac{-\Delta}{4})\)

\(=(-1,\frac{-\Delta}{4})\)

Here, a = 1, b = 2, and c = 4.

Hence, the vertex is given by

\((\frac{-b}{2a},\frac{-\Delta}{4a})\)=\((-1,\frac{-\Delta}{4})\)

=\((-1,\frac{-4}{4})\)

=(-1,-1)

Thus, the vertex of the function is (-1, -1)

Therefore, the statements that are true for the given quadratic function are:

f(x) has a vertex at (-1,-1),

The graph of f(x) is not a line and the graph of f(x) has a y-intercept.

Now, we need to identify the statement that is not true.

And we know that the graph of a quadratic function intersects the x-axis at most twice or not at all.

If a quadratic function has no real roots, then the graph will never intersect the x-axis.

Hence, it will have no x-intercepts.

This occurs when the discriminant \(\Delta<0\).

Thus, the statement that is not true for the given quadratic function is the graph of f(x) has no x-intercepts.

Therefore, option (c) is not true.

To know more about discriminant  visit:

https://brainly.com/question/14896067

#SPJ11

Answer:

K = \(\frac{4r}{n} -a\) n \(\neq 0\)

Step-by-step explanation:

We have our equation \(r = \frac{n}{4} (a+K)\) and are looking for K

First we have to switch sides :

\(\frac{n}{4} (a+K) = r\)

Since we have a denominator of 4, we multiply both sides by 4 :

\(n (a+K) = 4r\)

We then divide both sides by n :

\(a+K = \frac{4r}{n} ; n\neq 0\)

Subtract a from both sides :

\(K = \frac{4r}{n} -a; n\neq 0\)

^^^

(b) Yes, the experiment has a control group.

(c) The treatments can be randomly assigned to the experimental units by randomly selecting 20 containers and assigning each of the four treatments to 5 containers.

a) Treatments: Four different concentrations of fungus mixtures (0 ml/L, 1.25 ml/L, 2.5 ml/L, and 3.75 ml/L).

Experimental units: 20 individual containers with a group of insects.

Response variable: Number of insects that are still alive in each container one week after spraying.

(b) A control group is used to compare the results of the treatment group to a group that is not exposed to the treatment.

In this experiment, the control group can be the group of insects that are not exposed to any of the fungus mixtures.

c) The treatments can be randomly assigned to the experimental units by randomly selecting 20 containers and assigning each of the four treatments to 5 containers.

This way, each treatment has the same number of units and the assignment of treatments to units is random, which reduces the risk of bias in the experiment.

For more questions on Response variable

https://brainly.com/question/29806029

#SPJ4

0.320 > 0.051

Round it up. 4 and below doesn't round and 5 and above will.

0.320. 0.051

0.320. 0.05

Look at it as 0.32 and 0.05

these would come down to 32% or 5%

as the 3 is in the tenths and the 5 is in the hundredths.

making the 3 in the tenths larger.

Simple as 30 and 5

Answer:

D just imagine a straight flat line going through y=4

Answer:

The formula for the slope is:

\(\frac{y_2-y_1}{x_2-x_1}\)

Assign each given point to a variable:

Substitute in the values into the formula:

\(\frac{y_2-y_1}{x_2-x_1}=\frac{11-7}{5-(-3)}=\frac{4}{8} =\frac{1}{2}\)

Therefore, the slope is 1/2.

Answer:

1/2

Step-by-step explanation:

The formula for slope: \(\frac{y^2-y^1}{x^2-x^1}\)

Plug in:

\(\frac{11-7}{5-(-3)}\)

11 - 7 = 4

5-(-3)

5 + 3 = 8

4/8 = 1/2

The slope is 1/2.

Hope this helped.

Answer:

i think the answer is

29.73700

Answer: 0.337 + 29.4= 29.737

The statement "you can tell if a sequence converges by looking at the first 1000 terms" is false because determining the convergence of a sequence requires analyzing its behavior as the number of terms approaches infinity, and cannot be determined by simply looking at a finite number of terms

To determine if a sequence converges or not, we need to analyze its behavior as the number of terms goes to infinity. Looking at a finite number of terms, even if it's a large number like 1000, does not provide enough information to make a conclusive determination. Mathematical techniques like the limit comparison test, ratio test, or root test are used to examine the long-term behavior of the sequence and to determine if it approaches a limit or not.

Therefore, it is false to assume that the convergence of a sequence can be determined by just looking at the first 1000 terms or any finite number of terms.

Learn more about sequence converges here

brainly.com/question/29394831

#SPJ4

The given question is incomplete, the complete question is:

You can tell if a sequence converges by looking at the first 1000 terms. Ture or false

Answer:4554.21

Step-by-step explanation:

Answer:

D (0, 2)

General Formulas and Concepts:

Algebra I

The y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

y = 3/4x + 2

Step 2: Break Function

Identify Parts

Slope m = 3/4

y-intercept b = 2

The formula for an infinite geometric series can be used to find the exact value of the series, which is provided by\(\[S=\frac{a}{1-r}\]\). Therefore, The exact value of the series is \(\[\frac{9}{4}\]\)

The given expression is given as follows\(:\[\sum_{i=2}^{\infty}(\frac{3}{4})^{n}\]\)We know that a geometric series with a ratio \(\[\left| r \right| < 1\]\) has a sum given by the following formula:\(\[\sum\limits_{n=0}^{\infty }{ar}^{n}=\frac{a}{1-r},\left| r \right| < 1\]T\)

The formula for an infinite geometric series can be used to find the exact value of the series, which is provided by\(\[S=\frac{a}{1-r}\]\)

where a is the first term and r is the common ratio of the geometric series. The given series is\(\[ \sum_{i=2}^{\infty}(\frac{3}{4})^{n}\]\)and since the first term is \(\[(\frac{3}{4})^2\]\)the common ratio is \(\[\frac{3}{4}\]\)

Therefore, applying the formula of the infinite geometric series, we get; \(\[\begin{aligned}\sum_{i=2}^{\infty}(\frac{3}{4})^{n} &=\frac{(\frac{3}{4})^2}{1-\frac{3}{4}}\\ &=\frac{9}{16}\div \frac{1}{4}\\ &=\frac{9}{16}\cdot \frac{4}{1}\\ &=\frac{9}{4}\end{aligned}\]\)

The exact value of the series is \(\[\frac{9}{4}\]\)

Learn more about geometric series here:

https://brainly.com/question/30264021

#SPJ11

Answer:

1/20 kilogram of flour is in each bag.

Step-by-step explanation:

(1/2)/10=(1/2)(1/10)=1/20

Answer:

Simplified form of \(\frac{x+1}{x^2+x-6}\div \frac{x^2+5x+4}{x-2}\) is \(\mathbf{\frac{1}{(x+3)(x+4)} }\)

Option A is correct answer.

Step-by-step explanation:

We need to find simplified form of \(\frac{x+1}{x^2+x-6}\div \frac{x^2+5x+4}{x-2}\)

Solving the given expression:

\(\frac{x+1}{x^2+x-6}\div \frac{x^2+5x+4}{x-2}\)

First we find factors of \(x^2+x-6\)

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

So, factors of \(x^2+x-6\) are \((x-2)(x+3)\)

Now, fining the factors of \(x^2+5x+4\)

\(x^2+5x+4\\=x^2+4x+x+4\\=x(x+4)+1(x+4)\\=(x+1)(x+4)\)

So, factors of \(x^2+5x+4\) are \((x+1)(x+4)\\\)

Now the given expression will become:

\(\frac{x+1}{(x-2)(x+3)}\div \frac{(x+1)(x+4)}{x-2}\)

Now, converting division sign into multiplication sign:

\(=\frac{x+1}{(x-2)(x+3)}\times \frac{x-2} {(x+1)(x+4)}\\Cancelling, \:common\:terms\\=\frac{1}{(x+3)(x+4)}\)

So, simplified form of \(\frac{x+1}{x^2+x-6}\div \frac{x^2+5x+4}{x-2}\) is \(\mathbf{\frac{1}{(x+3)(x+4)} }\)

Option A is correct answer.

Answer:

The y value is the value of x to itself.

Answer:

the answer is X.

Step-by-step explanation:

the line is located where it hits the most points on the graph.

Answer:

d None of these choices are correct.

Step-by-step explanation:

In ΔRED and ΔTAN

∠R ≅ ∠T... (given)

∠E ≅ ∠A... (given)

ED ≅ AN... (required)

Therefore, ED ≅ AN is needed to prove ΔRED ≅ ΔTAN by AAS Postulate.