If u have 18 gallons of gas an you drove 250 miles how much gas is left

Answer:

have a great day

god bless you

This bond has a Current yield of 6.9 percent, a volume of 18, and a net change of negative one-eighth. The correct answer is (a)  101Three-fourths; $101,750.

The bond listing provided is a typical example of how Corporate bonds are displayed. The table consists of 5 columns with 1 row, where each column provides specific information about the bond.

The first column displays the name of the bond, which in this case is NYTel 7 and one-fourth 33, indicating that it is a bond issued by New York Telephone.

The second column shows the current yield of the bond, which is 6.9 percent.

The third column displays the volume of the bond, which is 18.

The fourth column provides the closing price of the bond, which is 101 and three-fourths.

Finally, the fifth column shows the net change of the bond, which is negative one-eighth.

To answer the question, we need to determine the closing price and dollar amount of the bond. According to the bond listing, the closing price of the bond is 101 and three-fourths. To calculate the dollar amount, we need to multiply the closing price by the face value of the bond. Assuming that the face value of the bond is $1,000, the dollar amount of the bond would be $101,750 (101.75 x 1000).

Therefore, the correct answer is (a) 101Three-fourths; $101,750. This bond has a current yield of 6.9 percent, a volume of 18, and a net change of negative one-eighth. Understanding how to read and interpret bond listings is crucial for investors who want to make informed investment decisions.

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Answer:

75.6

Step-by-step explanation:

100% - 73% = 27%  

27% = 0.27

280 × 0.27 = 75.6

Answer:

30.7777

Step-by-step explanation:

Resolviendo un sistema de ecuaciones, veremos que se juntaron 24 sobres de salsa.

Vamos a definir las variables:

Sabemos que hay 30 estudiantes, así que:

x + y = 30

Y sabemos que hay un total de 42 productos, entonces tendremos que:

2x + y = 42

(el factor 2 que multiplica a x es por que cada uno de esos estudiantes lleva 2 sobres de salsa).

Entonces tenemos el sistema de ecuaciones:

x + y = 30

2x + y = 42

Para resolverlo, primero aislamos una de las variables en una de las ecuaciones, yo voy a aislar y en la primer ecuación:

y  = 30 - x

Ahora reemplazamos eso en la otra ecuación:

2x + (30 - x) = 42

Y podemos resolver esto para x:

2x + 30 - x = 42

x = 42 - 30 = 12

x = 12

Es decir, 12 estudiantes llevaron sobres de salsa. Y cada uno de ellos lleva 2 sobres, entonces se reunieron 12*2 = 24 sobres de salsa.

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Using simultaneous equations, Kieran and Louise's numbers are 20 and 8 respectively.

Kieran and Louise each think of a number. 4 less than Kieran's number is equal to 2 lots of Louise's number.

let's

x = Kieran's number

y = Louise's number.

x - 4 = 2y

x - 2y = 4

3 lots of Kieran's number added to Louise's number is 68.

Hence,

3x + y = 68

Hence, let's combine the system of equation.

x - 2y = 4

3x + y = 68

multiply equation(i) by 3

3x - 6y = 12

3x + y = 68

-7y = -56

y = -56 / -7

y = 8

Therefore, let's find x

x = 4 + 2y

x = 4 + 2(8)

x = 4 + 16

x = 20

Hence,

Kieran number = 20

Louise number = 8

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Answer:

see explanation

Step-by-step explanation:

Y intercept is 500 because she is starting off with $500 each month

slope is 75 because she gets $75 more every time she sells one

start at (0,500) then plot a point at (1,575) then (2,650) increasing by 75 every time x increases by 1

If you start at (0,500) you can move backwards going to (-1,425) to (-2,350) decreasing by 75 as you move backwards

the equation is y=75x+500

table: -3    275  

        -2     350

        -1     425

         0     500

         1      575

         2     650

         3     725

         4      800

Answer:

(-4,-9)

Step-by-step explanation:

vertex form: y=a(x-h)^2+k

hk=vertex of x and y

inside parentheses=horizontal (opposite signs)

that’s why it’s -4 instead of 4 for h (x) while -9 stays the same since it’s not inside the parentheses

In a case whereby a ball is thrown downward from the top of a 140​-foot building with an initial velocity of 16 feet per second. the time the ball is thrown will it strike the​ ground at t = 2.5 or -3.5.

Height of building = 140 ft

Initial velocity, u = 16 ft/sec

the equation given is

h = -16t² -16t +140

h(t) = -16t² -16t +140

AT h(t) = 0 , We can divide by -2 and have

(8t² + 8t - 70) = 0

8t² + 8t - 70 = 0

Then if we solve with quadratic equation formula where  a=8, b=8, c=- 70 then the root will be -7/2 and 5/2 then  t = 2.5 or -3.5

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complete question;

A ball is thrown downward from the top of a 140​-foot building with an initial velocity of 16 feet per second. the height of the ball h in feet after t seconds is given by the equation h equals negative 16 t squared minus 16 t plus 140. how long after the ball is thrown will it strike the​ ground?

The component form of the linear combination of the two vectors is u - 2v = < -5, 20>

Here we have the two vectors: u = <-3, -2> and v = <1, -5> We want to determine the value of the linear combination:

u - 2v

To do that we just add the correspondent components, then we get:

u - 2v = <-3, -2> - 2*<1, -5>          

= <-3, -2> - <2*1, 2*-5>          

= <-3, -2> -  <2, -10>          

= < -3 - 2, -2 -(-10)>          

= < -5, 20>

That is the component form of the linear combination.

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1/m⁶ n⁸ expression is equivalent to (m⁻² n⁻⁴)⁻⁴.

In mathematics, a statement is considered to be an expression if it contains at least two different integers (known or unknown) and at least one operation. Addition, subtraction, multiplication, division, exponents, and roots are only a few examples of operations. What a phrase lacks may be the most crucial element in defining it. There is no equals sign in mathematical expressions (or a less than, greater than, or similar relation). A math expression consists of numerous essential components. Understanding these components is essential to learning how to write a mathematical expression. A mathematical expression typically consists of two parts: terms and operations.

Given

Expression

(m⁻² n⁻⁴)⁻⁴

Multiplying,

m⁻²⁺⁽⁻⁴⁾ n⁻⁴ ⁺ ⁽⁻⁴⁾

m ⁻⁶ n⁻⁸

Reciprocating

1/m⁶ n⁸

1/m⁶ n⁸ expression is equivalent to (m⁻² n⁻⁴)⁻⁴.

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Answer:

$149,000

Step-by-step explanation:

Subtract acc depreciation for 2020 from acc deprecitation in 2021 and it gives you the depreciation expense solely for 2021.

The Equipment was purchased during 2021 at $1,402,000.

The total amount of depreciation applied to an asset up to a particular point is known as accumulated depreciation. The beginning cumulative depreciation balance is increased with each period's depreciation expense.

Given:

Equipment purchased during 2021

= Cost of equipment on 12/31/2021 - (Cost of equipment on 12/31/2020 - Cost of equipment sold)

=  $2211000 - ( $2062000 - $470000)

= $2211000 - 15,92,000

= $6,19,000

Hence, the Equipment purchased during 2021 at $1,402,000.

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Step-by-step explanation:

16x - 54x⁴

= 2x(8 - 27x³)

....

Step-by-step explanation:

i hope this will help!!..

....

a. The probability of exactly two flaws in a 50-yard piece of material is approximately 0.2707.

b. The probability of no more than two flaws in a 50-yard piece of material is approximately 0.6767.

c. The probability of no flaws in a 25-yard piece of material is approximately 0.3679.

To find the probability of exactly two flaws in a 50-yard piece of material, we can use the Poisson distribution. Let λ be the average number of flaws per 50 yards of material, which is 2. Then, the probability of exactly k flaws occurring in a 50-yard piece of material is given by

P(k flaws) = (e^(-λ) × λ^k) / k!

So, for k=2, we have

P(2 flaws) = (e^(-2) × 2^2) / 2! ≈ 0.2707

Therefore, the probability of exactly two flaws in a 50-yard piece of material is approximately 0.2707.

b. To find the probability of no more than two flaws in a 50-yard piece of material, we need to sum the probabilities of having 0, 1, or 2 flaws. So, we have

P(no more than 2 flaws) = P(0 flaws) + P(1 flaw) + P(2 flaws)

We already know P(2 flaws) from part (a). To find P(1 flaw), we can use the same formula as before with λ=2 and k=1

P(1 flaw) = (e^(-2) × 2^1) / 1! ≈ 0.2707

To find P(0 flaws), we use the same formula with λ=2 and k=0

P(0 flaws) = (e^(-2) × 2^0) / 0! ≈ 0.1353

Therefore, we have:

P(no more than 2 flaws) = 0.2707 + 0.2707 + 0.1353 ≈ 0.6767

So, the probability of no more than two flaws in a 50-yard piece of material is approximately 0.6767.

c. To find the probability of no flaws in a 25-yard piece of material, we can again use the Poisson distribution, but with a different value of λ. Since the average number of flaws per 50 yards is 2, the average number of flaws per 25 yards is 1. So, we have:

P(0 flaws) = (e^(-1) × 1^0) / 0! ≈ 0.3679

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That is, limₙ→∞ enⁿ⁶ = ∞. Hence, the limit does not exist, and the sequence diverges.

Given: Sequence aₙ = enⁿ⁶. To determine whether the sequence converges or diverges, we need to consider the value of e and the exponent n. Here, e is a positive constant and n is the index of the sequence. Hence, let us examine the behavior of the sequence by taking a few terms: when n = 1, a₁ = e;when n = 2, a₂ = e²;when n = 3, a₃ = e³;and so on. By observing the first few terms, we can notice that the sequence is increasing rapidly.

Hence, the terms of the sequence diverge to infinity. Therefore, the given sequence is divergent. Hence, the answer is Diverges. We could have also used the limit test to confirm this.

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The standard deviation of a beta distribution is calculated using the formula \(\(\sigma = \sqrt{\frac{\alpha \cdot \beta}{(\alpha + \beta)^2 \cdot (\alpha + \beta + 1)}}\),\) where \(\(\alpha\)\) and \(\(\beta\)\) are the parameters defining the shape of the distribution. It does not involve multiplying the sigma value by any fixed factor.

When calculating the standard deviation of a beta distribution, the denominator of the formula is not directly related to the sigma (standard deviation) parameter.

The standard deviation of a beta distribution depends on the alpha and beta parameters, which define the shape of the distribution.

The formula for the standard deviation of a beta distribution is:

\(\[ \sigma = \sqrt{\frac{\alpha \cdot \beta}{(\alpha + \beta)^2 \cdot (\alpha + \beta + 1)}} \]\)

Here, the standard deviation \((\(\sigma\))\) is calculated using the alpha and beta parameters of the beta distribution. It does not involve multiplying the sigma value by any particular factor or using a fixed denominator.

The denominator in the formula for the standard deviation of a beta distribution involves the alpha and beta parameters, which determine the shape and spread of the distribution.

It does not directly relate to the sigma value or involve multiplying sigma by a fixed factor.

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answer 5y - 12 = 8.

In order to use the subtraction property of equality to solve equations, the subtraction of the same quantity should be done on both sides of the equation.

Here are the equations in which you can use the subtraction property of equality to solve:7x + 2 = 25-2y = 10-4r = 28-1/3p = 15+9z = -27

The only equation from the options given in the question is 5y - 12 = 8. So, we can use the subtraction property of equality to solve this equation as follows:5y - 12 = 8Add 12 to both sides5y - 12 + 12 = 8 + 125y = 20Divide both sides by 55y/5 = 20/5y = 4 Therefore, the equation in which we can use the subtraction property of equality to solve is 5y - 12 = 8.

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The amount of juice the cup can hold given that the cup has diameter of 8 centimeters and a height of 12 centimeters is 602.88 cm³

To know the amount of juice the cup can hold, we shall obtain the volume of the cup.

We shall use the formula for obtaining volume of cylinder to obtain the volume of the cup. Details below:

Volume = πr²h

Volume = 3.14 × 4² × 12

Volume = 3.14 × 16 × 12

Volume = 602.88 cm³

Thus, we can conclude from the above calculation that the amount of juice the cup can hold is 602.88 cm³

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Answer:

True

Step-by-step explanation:

Answer:

TRUE!

Step-by-step explanation:

Answer:

\(\frac{1}{3}\)

Step-by-step explanation:

you multiply the denominator with the denominator and the numerator with the numerator

\(\frac{5}{6}x\frac{2}{5}\)

\(\frac{5x2}{6x5}\)

\(\frac{10}{30}\)

\(\frac{1}{3}\)

Hopes this helps please mark brainliest

Answer:

Step-by-step explanation:

The derivative of a function represents the rate of change of the function with respect to its variable. This rate of change is described as the slope of the tangent line to the curve of the function at a specific point. The derivative of the cosine function can be found by applying the limit definition of the derivative to the cosine function.

\(f(x) = cos(x) then f'(x) = -sin(x)\).

Let's proceed with the proof.  Definition of the Derivative: The derivative of a function f(x) at x is defined as the limit as h approaches zero of the difference quotient \(f(x + h) - f(x) / h\) if this limit exists. Using this definition, we can find the derivative of the cosine function as follows:

\(f(x) = cos(x) f(x + h) = cos(x + h)\)

Now, we can substitute these expressions into the difference quotient: \(f'(x) = lim h→0 [cos(x + h) - cos(x)] / h\)

We can then simplify the expression by using the trigonometric identity for the difference of two angles:

\(cos(a - b) = cos(a)cos(b) + sin(a)sin(b)\)

Applying this identity to the numerator of the difference quotient, we obtain:

\(f'(x) = lim h→0 [cos(x)cos(h) - sin(x)sin(h) - cos(x)] / h\)

We can then factor out a cos(x) term from the numerator:

\(f'(x) = lim h→0 [cos(x)(cos(h) - 1) - sin(x)sin(h)] / h\)

We can then apply the limit laws to separate the limit into two limits:

\(f'(x) = lim h→0 cos(x) [lim h→0 (cos(h) - 1) / h] - lim h→0 sin(x) [lim h→0 sin(h) / h]\)

The first limit can be evaluated using L'Hopital's rule:

\(lim h→0 (cos(h) - 1) / h = lim h→0 -sin(h) / 1 = 0\)

Therefore, the first limit becomes zero:

\(f'(x) = lim h→0 - sin(x) [lim h→0 sin(h) / h]\)

Applying L'Hopital's rule to the second limit, we obtain:

\(lim h→0 sin(h) / h = lim h→0 cos(h) / 1 = 1\)

Therefore, the second limit becomes 1:

\(f'(x) = -sin(x)\)

Thus, we have proved that if \(f(x) = cos(x), then f'(x) = -sin(x)\).

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In the given model, the intercept for the regression model is 70.

The intercept in the given simple linear regression model is 70. This means that when the independent variable (x) is zero, the predicted value of the dependent variable (y) is 70. The intercept represents the starting point or the y-value when x is zero in the regression equation.

In a simple linear regression model, the equation takes the form: y = β0 + β1x + ϵ, where β0 represents the intercept, β1 represents the coefficient of the independent variable (x), and ϵ represents the error term.

In the given regression model, the intercept (β0) is stated as 70. This means that when x is zero, the predicted value of y is 70. The intercept captures the inherent value of y that is not explained by the independent variable. It represents the baseline value of y when there is no influence from x.

Therefore, in the given model, the intercept is 70.

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Answer:

A: 236 sqaure ft.

B: 4 cans

Step-by-step explanation:

Sure, I can help you with that.

Part A:

The total surface area of a rectangular prism is calculated using the following formula:

Total surface area = 2(lw + wh + lh)

where:

In this case, we have:

Plugging these values into the formula, we get:

Total surface area = 2(8*6+6*5+8*5) = 236 square feet

Therefore, the total surface area of the doghouse is 236 square feet.

Part B:

Since the bottom of the doghouse will not be painted, we only need to paint the top, front, back, and two sides.

The total surface area of these sides is 236-6*8 = 188 square feet.

Therefore,

we need 188 ÷ 50 = 3.76 cans of paint to paint the doghouse.

Since we cannot buy 0.76 of a can of paint, we need to buy 4 cans of paint.

Answer:

A)  236 ft²

B)  4 cans of paint

Step-by-step explanation:

The given diagram (attached) shows the doghouse modelled as a rectangular prism with the following dimensions:

The formula for the total surface area of a rectangular prism is:

\(S.A.=2(wl+hl+hw)\)

where w is the width, l is the length, and h is the height.

To find the total surface area of the doghouse, substitute the given values of w, l and h into the formula:

\(\begin{aligned}\textsf{Total\;surface\;area}&=2(6 \cdot 8+5 \cdot 8+5 \cdot 6)\\&=2(48+40+30)\\&=2(118)\\&=236\; \sf ft^2\end{aligned}\)

Therefore, the total surface area of the doghouse is 236 ft².

\(\hrulefill\)

As the bottom of the doghouse will not be painted, to find the total surface area to be painted, subtract the area of the base from the total surface area:

\(\begin{aligned}\textsf{Area\;to\;be\;painted}&=\sf Total\;surface\;area-Area\;of\;base\\&=236-(8 \cdot 6)\\&=236-48\\&=188\; \sf ft^2\end{aligned}\)

Therefore, the total surface area to be painted is 188 ft².

If one can of paint will cover 50 ft², to calculate how many cans of paint are needed to paint the doghouse, divide the total surface area to be painted by 50 ft², and round up to the nearest whole number:

\(\begin{aligned}\textsf{Cans\;of\;paint\;needed}&=\sf \dfrac{188\;ft^2}{50\;ft^2}\\\\ &= \sf 3.76\\\\&=\sf 4\;(nearest\;whole\;number)\end{aligned}\)

Therefore, 4 cans of paint are needed to paint the doghouse.

Note: Rounding 3.76 to the nearest whole number means rounding up to 4. However, even if the number of paint cans needed was nearer to 3, e.g. 3.2, we would still need to round up to 4 cans, else we would not have enough paint.

Answer:

93 and 94

Step-by-step explanation:

Let two numbers be x and x + 1; x + x + 1 = 187; 2x = 187 - 1; 2x = 186; x = 186/2; x = 93; x + 1 = 93 + 1 = 94

Answer:

The integers are 93 and 94.

Step-by-step explanation:

Let,

Now, substituting all the given values in the equation and finding the value of x.

\(\begin{gathered}\qquad\implies{\tt{x + (x + 1) = 187}}\\\\\qquad\implies{\tt{x + x + 1 = 187}}\\\\\qquad\implies{\tt{2x + 1 = 187}}\\\\\qquad\implies{\tt{2x= 187 - 1}}\\\\\qquad\implies{\tt{2x= 186}}\\\\\qquad\implies{\tt{x= \dfrac{186}{2}}}\\\\\qquad\implies{\tt{x= 93}}\end{gathered}\)

Hence, the value of x is 93.

Now, we know the value of x. So, finding the two consecutive integers.

\(\rule{300}{2.5}\)

After 14 days, you will have approximately $2.4414 invested in the stock market.

The amount you will have invested after 14 days can be calculated using the geometric sequence formula. The formula for the nth term of a geometric sequence is given by:

an = a1 x \(r^{(n-1)\)

Where:

an is the nth term,

a1 is the first term,

r is the common ratio, and

n is the number of terms.

In this case, the initial investment is $20,000, and each day the investment loses half of its value, which means the common ratio (r) is 1/2. We want to find the value after 14 days, so n = 14.

Substituting the given values into the formula, we have:

a14 = 20000 x\((1/2)^{(14-1)\)

a14 = 20000 x \((1/2)^{13\)

a14 = 20000 x (1/8192)

a14 ≈ 2.4414

Therefore, after 14 days, you will have approximately $2.4414 invested in the stock market.

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The amount you will have invested after 14 days is given as follows:

$2.44.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.

The explicit formula of the sequence is given as follows:

\(a_n = a_1q^{n-1}\)

In which \(a_1\) is the first term of the sequence.

The parameters for this problem are given as follows:

\(a_1 = 20000, q = 0.5\)

Hence the amount after 14 days is given as follows:

\(a_{14} = 20000(0.5)^{13}\)

\(a_{14} = 2.44\)

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