james can go 144 miles with 12 gallons of gas in his truck.how far can he go on 17 gallons?

Answer: x = -1

Step-by-step explanation:

Since, you know y = 2, substitute that y-value into the other function:

[tex]2=2x+4\\\\2x=2-4=-2\\\\x=\frac{-2}{2} =-1[/tex]

Answer: The sequence has a common difference between consecutive terms

14 - 18 = 10 - 14 = - 4

This indicates it is an arithmetic sequence with a common difference - 4

Step-by-step explanation:

Answer: 13 markers and one pen

Step-by-step explanation:

14/2 = 7

7+6=13 markers

Which means there is only one pen left

From the obtained equation, there are 4 pens and 10 markers.

Given that, there are 14 pens and markers.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of pens be p.

Then, the number of markers will be p+6

Now, the equation is p+p+6=14

⇒ 2p+6=14

⇒ 2p=8

⇒ p=4

Thus, p+6=10

Therefore, from the obtained equation, there are 4 pens and 10 markers.

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12 is the marginal cost at the production level of 1000 units.

A differential equation is an equation that contains one or more functions with its derivatives.

The marginal cost represents the additional cost if 1 more unit is produced. So, we can find the marginal cost by computing C(1,001) and subtracting (1,000)

First, let's evaluate the cost at both x= 1,001 and x=1,000

C(1000)=0.002(1000)^2+8(1000)+6000

=0.002(1000000)+8000+6000

=2000+8000+6000

=16000

C(1001)=0.002(1001)^2+8(1001)+6000

=2004.002+8008+6000

=16012

The difference between these costs is $12.002. Rounding to the nearest cent, we find a marginal cost of $12 per unit. Let's see if we get a similar result from the derivative.

Hence 12 is the marginal cost at the production level of 1000 units.

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The height of the model of the lighthouse in inches is 20 inches

The real height of the lighthouse = 160 feet

The scale model of the light house has scale of

1 inch : 8 feet

Consider the height of the model of the lighthouse is x

Then the proportion of the scale model of the lighthouse and the actual height will be

1 inch / 8 feet = x inches / 160 feet

Cross multiply the terms

1 × 160 = 8x

Multiply the terms

8x = 160

Divide both side of the equation by 8

8x / 8 = 160 / 8

x = 20 inches

Hence, the height of the model of the lighthouse in inches is 20 inches

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The function of Car A is an exponential function.

The function that describes the value is g(x) = [tex]18,000(0.94^{x})[/tex].

The value of f(x) in 9 years is $10,313.91.

The function of Car B is a linear function.

The function that describes the value is  g(x) = 18,500 -750x.

The value of f(x) in 9 years is $11,750.

The value of the car declines with the passage of time. Thus, the value of the car depreciates with the passage of time.

A linear function is a function that has a single variable raised to the power of 1. A linear function increases or decreases by a constant value.  

The general form of a linear function is f(x) = a + bx

Where:

Rate of change = value of the car B in year 2 - value of the car B in year 1

17,000 - 17,750 = - 750

g(x) = 18,500 -750x

Value of g(x) when x is 9:

g(x) = 18,500 -750(9)

g(x) = 18,500 - 6,750

g(x) = $11,750

An exponential function can be described as an equation with exponents. The exponent is usually a variable.

The general form of exponential function is f(x) = [tex]e^{x}[/tex]

Where:

• x = the variable

• e = constant

Constant = (Value of the car in year 2 / value of the car in year 1) - 1

Constant = (16,346.60 / 17,390) - 1 = -0.06 = -6%

g(x) = [tex]18,000(0.94^{x})[/tex]

Value of the car in 9 years =  [tex]18,000(0.94^{9})[/tex] = $10,313.91

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Answer:

-1

Step-by-step explanation:

put this equation in slope intercept form : y=mx+b

x+y=6

-x.    -x

y=-1x+6

The slope of this line is -1 and for it to be parallel they both have to have the same slope

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Answer:

Step-by-step explanation:

a. 6.17 , 5.5 , 4.375 , 4.3 , 3.75

b. Everyone except Micah.

C. Micah got 3.75 pounds and if he got 0.5 pounds more, then he would have; 3.75+0.5=3.75 pounds. Then he would have got the coupon as a minimum of 4.25 pounds is required.

Answer:

width = 9 m

Step-by-step explanation:

the diagonal divides the rectangle into 2 right triangles.

using Pythagoras' identity on one of the triangles

with legs 12 and width (w) and hypotenuse (diagonal) 15 , then

w² + 12² = 15²

w² + 144 = 225 ( subtract 144 from both sides )

w² = 81 ( take square root of both sides )

w = [tex]\sqrt{81}[/tex] = 9

that is the width of the rectangle is 9 m

Answer: x is greater than or equal to 1/5

Step-by-step explanation:

The value of -3( 1 - 5x) CANNOT be negative.

Using this information we know that 1-5x is negative.

We can write:

1-5x >= 0

1>=5x

x>=1/5

Answer:

380 ft²

Step-by-step explanation:

diameter = 22 ft

radius = diameter/2 = 22 ft/2 = 11 ft

area = πr²

area = 3.14 × (11 ft)²

area = 379.94 ft²

Answer: 380 ft²

Answer: 62.5

Step-by-step explanation:

To break even, profit equals zero.

[tex]1.60n-100=0\\\\1.60n=100\\\\n=62.5[/tex]

A z-test with a z observed of 2.56 (two-tailed) would have a p-value of 0.010467 , which would lead a research to reject the null hypothesis if alpha is .05.

Given:

z - score = 2.56

p value at z = 2.56 is:

p = 0.010467

The result is statistically significant: you can reject the null hypothesis and accept the alternative.

This decision is made at significance level α = 0.05.

Therefore a z-test with a z observed of 2.56 (two-tailed) would have a p-value of 0.010467 , which would lead a research to reject the null hypothesis if alpha is .05.

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The required quadratic polynomial whose roots are -7 and 7 is

[tex]x^{2} - 49[/tex]

As the zeroes are given, i.e., 7 and -7.

∴ Sum of roots = 7+(−7) = 7− 7 = 0

Product of roots = 7×(−7) = −49

As we know, a quadratic polynomial whose zeroes are given can be represented as-

[tex]x^{2}[/tex] - (Sum of roots)x + (product of roots) = 0

[tex]x^{2} -0*x +(-49) = 0\\\\x^{2} - 49 = 0[/tex]

Hence, the required quadratic polynomial whose roots are -7 and 7 is

[tex]x^{2} - 49[/tex]

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Answer:

18

Step-by-step explanation:

Answer:

18 pounds

Step-by-step explanation:

5x 3 3/5= 18

Answer:

[tex]38=4c+2m[/tex]

Step-by-step explanation:

I will use the letter c to represent bags of chips, and the letter m to represent pounds of meat.

The total cost of c bags of chips is 4 times c. The total cost of m pounds of meat is 2 times m. The total amount that he spends is $38. Therefore, this equation can be written.

[tex]38=4c+2m[/tex]

For the height and arm span of a sample of 50 teenagers explanatory variable and the response variable for this relationship is the explanatory variable, height of teenagers, helps explain the response variable, arm span of teenagers. (Option C)

An explanatory variable refers to the variable that can be manipulated in experiment by the researcher and is the independent variable whereas a response variable refers to the variable that is modified as a result and is the dependent variable. In the given case, the height is the explanatory variable while the arm span is the response variable as a teenager's arms spread is influenced by their height.

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Answer:

m∠T = 60°

m∠U = 60°

TS = 13 cm

SU = 13 cm

Step-by-step explanation:

The diagram shows that 2 sides, UT and TS, are equal, so it is an isosceles triangle. Since it is an isosceles triangle, the two angles opposite the equal sides are also congruent to each other, so m∠S = m∠U = 60°.

Now we know the measure of 2 angles, we can find the measure of the third angle, by subtracting the 2 known angles from 180°.

m∠T = 180° - m∠S - m∠U

m∠T = 180° - 60° - 60°

m∠T = 60°

Since all 3 angles are congruent, it is an equilateral triangle, therefore all the sides must be congruent too. So UT = TS = SU = 13 cm.

Answer:

3,500 Millimeters

Step-by-step explanation:

1 Meter = 1,000 Millimeters so,

3.5 meters = 3,500 Millimeters

Answer:

(x = -0.90, y = 2.31) and (x = 1.40, y = 9.19)

Step-by-step explanation:

See the attached image

The IQR for Jacob's data set is determined as: 2 seconds.

To find the interquartile range (IQR) of a Data set, find the third quartile value and the first quartile value. Their difference is the Interquartile Range (IQR) of the data.

Interquartile Range (IQR) = third quartile - first quartile.

In the box plot given, we can deduce that:

Third quartile = 15.5

First quartile = 13.5

Interquartile Range (IQR) = 15.5 - 13.5

Interquartile Range (IQR) = 2 seconds

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Answer: 2 seconds

Step-by-step explanation:

The required missing terms are sequential as 3, -8, -10, 1, -9, -7, 5, 10, 6, -9, 1, -1, 1,  and -7.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
What we do is, lets fill the blank space be x,
Now for 1,
[-1] + [-1] + x = 1
-2 + x = 1
x = 1 + 2
x = 3
Similarly, all the blank spaces can be determined as, -8, -10, 1, -9, -7, 5, 10, 6, -9, 1, -1, 1,  and -7.

Thus, the required missing terms are sequential as 3, -8, -10, 1, -9, -7, 5, 10, 6, -9, 1, -1, 1,  and -7.

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Answer:

13170.421 -> rounded to nearest whole number is 13170

Step-by-step explanation:

u = a + b + c

area = √(u/2 * (u/2-a) * (u/2-b) * (u/2-c))

Answer:

ROC=10/1

Step-by-step explanation:

ROC=change in y-change in x

We can first write out a few more points.

(7,70), (14,140), (21,210)

210-140=70

140-70=70

21-14=7

14-7=7

So the ROC is 70/7 or 10/1

The value of side x is given by (C) 14.7 units approximately.

Given the triangle is a right angled triangle.

Now given also that, Height of triangle is = x units

Base of triangle is = 15 units

Hypotenuse of triangle is = 21 units

So by Pythagoras theorem, we get the sum of squares of base and height is equal to the square of hypotenuse. So,

[tex]x^2+15^2=21^2\\\Rightarrow x^2+225=441\\\Rightarrow x^2=441-225\\\Rightarrow x^2=216\\\Rightarrow x\approx14.7[/tex]

So the value of x is 14.7 units approximately.

Hence the correct option is (C).

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Answer:

19x − y = 0

__

As per the angle sum property of quadrilateral, then values of x is 245 and the value of y is 341

Angle sum property of quadrilateral:

The angle sum property states that the sum of all the angles of the quadrilateral is 360 degree.

Given,

The angles of the quadrilateral are 5x degrees, (4y minus 2 )degrees, (13x plus 10 )degrees, and 10y degrees.

Now we have to write and solve a system of linear equations to find the values of x and y.

While we looking into the given angles, then we get the values

=> 5x°

=> (4y - 2)°

=> (13x + 10)°

=> 10y°

We know that, the sum of all the angles of the quadrilateral is 360°.

So, it ca be written as,

=> 5x° + (4y - 2)° + (13x+ 10)° + 10y° = 360°

=> 18x° + 14y° - 8° = 360°

=> 18x° + 14y° = 354°

When we divide all of them by 2, then we get the equation as,

=> 9x° + 7y° = 177°

Now we have to rewrite the given equation as,

=> 9x° = 177° - 7y°

=> x° = (177° - 7y°)/9

Apply these value on the angles, then we get,

=> 13(177 - 7y)/9 = -10

=> 13(177 - 7y) = 90

=> -7y = -90 - 2301

=> 7y = 2391

=> 341

Then the value of x is

=> 245

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Answer:

Step-by-step explanation:

if i help you with this can yu do this

1. Describe, in detail, the way Jews were treated by the Nazi Party between 1933 and 1944. Be sure to address the restrictions on the Jews and their movement as well as discussing the creation and impact of the Nuremberg Laws.

2.explain how literature can help us understand the past. How can reading literature sometimes be more effective than studying an informational/historical document or simply studying "facts" from the past.

120 or more for both questions!!!

Answer:

70

Step-by-step explanation:

(14/20)*100=70