4. You have $14 in your pocket. A taxi has a ride fee of $5 plus an additional fee of $0.60 per
mile, what is the most miles you could ride in the taxi without using all of your money?
(Think about: What inequality are we using? What is the variable? What operations
must we use?)

To yield $26,000 in the future, compounded semiannually at an interest rate of 6%, a lump sum investment needs to be made today. The correct amount to invest can be calculated using the present value formula.

The present value formula can be used to calculate the amount that should be invested today to achieve a specific future value. The formula is given by:

PV = FV / (1 + r/n)^(n*t)

In this case, the future value (FV) is $26,000, the interest rate (r) is 6%, and the compounding is semiannually (n = 2). We need to solve for the present value (PV).

Using the formula and substituting the given values:

PV = 26,000 / \((1 + 0.06/2)^(2*1)\)

PV = 26,000 / \((1.03)^2\)

PV = 26,000 / 1.0609

PV ≈ $24,490.92

Therefore, the correct lump sum to invest today, at 6% compounded semiannually, to yield $26,000 in the future is approximately $24,490.92.

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Answer:

(D. the volume of a cone in cubic feet)

Step-by-step explanation:

A should be inches, not square inches

B should be square meters, not meters

C should be miles per gallon (or KM per gallon), not just gallons

Answer:

profit of 240

Step-by-step explanation:

credit to the person above me

Answer:

I believe the correct answer is B! Hope this helped.

Answer:

b

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

32 + 6 - 31 = 7 not -7

Answer:

32+6-31 does not equal -7

Step-by-step explanation:

32+6=38

38-31=7

Hope this helps

Answer:

x = 14

Step-by-step explanation:

2x+4 - 12 = 20

2x - 8 = 20

2x = 28

x = 14

The solution is, x = 14, is the solution to the equation 2x+4 - 12 = 20.

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

given that,

the equation is , 2x+4 - 12 = 20

now, we have to solve it for x

so, for solving the equation,

we isolate the numbers & the variables, then, calculating,

we get,

2x+4 - 12 = 20

2x - 8 = 20

2x = 28

x = 14

Hence, The solution is, x = 14, is the solution to the equation 2x+4 - 12 = 20.

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Answer:

5)Yes, ASA

6)Yes, SAS

Step-by-step explanation:

5) Two angles and one side are congruent

6) 1 angle and 1 side are given, and the middle side is Reflexive, so thats also congruent.

Answer:

3 (4 x + 6): Each side length is 4 x + 6 units.

Step-by-step explanation:

Perimeter of equilateral triangle = 12x + 18 = 3(4x + 6) units

Answer:

B

Step-by-step explanation:

An equilateral triangle has a perimeter of 12 x + 18 units. Which expression can be used to show the length of one side of the triangle?

  6 (2 x + 3): Each side length is 2 x + 3 units.

✔3 (4 x + 6): Each side length is 4 x + 6 units.

  2 (6 x + 9): Each side length is 6 x + 9 units.

  x (12 + 18): Each side length is 12 + 18 units.

Answer:

68°

Step-by-step explanation:

If a quadrilateral is inscribed in a cirle, the sum of its opposite angles is 180°. Angles B and D are opposite => B+D=180° => D=180°-B=180°-112°=68°

Answer:

68°

Step-by-step explanation:

Since angles B and D are opposite each other, they are supplementary.

Answer:

yes it is

Step-by-step explanation:

Subtracting a number is the same as adding its opposite (also called its additive inverse). To subtract you can rewrite the subtraction as adding the opposite and then use the rules for the addition of real numbers.

Answer: it is =4176000000000000

Step-by-step explanation:

(2.9)(100000)(7.2)(10^2)

5(10^−8)

=

(290000)(7.2)(10^2)

5(10^−8)

=

2088000(10^2)

5(10^−8)

=

(2088000)(100)

5(10^−8)

=

208800000

5(10^−8)

=

208800000

5(1/100000000)=

208800000/1

20000000

=4176000000000000

hope i helped

-lvr

Answer:

x=41/4 -y

y=41/4 -x

Step-by-step explanation:

Answer:

1 is 5+2a =7 and 2is 14+3a=3 and 3 is 7-2a=5

Answer:

1. 2x+5=7

2. 3x+14=2

3. 2x-7=5

4. 4x+2=-10

6. 3x-8=-14

6. (x/2)+3=7

7. 4x+2=14

8. (x/3)-8=5

9. 2x-3=11

10. 3x+7=25

a) The binomial expansion of (1+12x)^1/2 is given by:

(1+12x)^1/2 = 1^1/2 + (1/2)(1^-1/2)(12x) + (1/2)(1^-1/2)(-1/2)*(12x)^2 + ...

Binomial expression: what is it?

A polynomial with only terms is a binomial. An illustration of a binomial is x + 2, where x and 2 are two distinct terms. Additionally, in this case, x has a coefficient of 1, an exponent of 1, and a constant of 2. As a result, a binomial is a two-term algebraic expression that contains a constant, exponents, a variable, and a coefficient.

The first four terms, in ascending powers of x, are:

1, (1/2)(12x), (1/8)(12x)^2, (1/16)*(12x)^3

b) To use x=1/36 in the expansion, you would substitute x=1/36 into the expansion, and keep only the terms up to x^3 (the fourth term in the expansion). This will give an approximation of the value of (1+12x)^1/2 when x=1/36.

This will be an approximation of √12 because x=1/36 corresponds to 12x = 1 and the initial value of the expansion is 1 + 12x .

We can use this approximation to approximate square root of 12 and also for other square roots by using appropriate x values.

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Answer:

The area of the circle is 38.5 cm²

Step-by-step explanation:

The rule of the area of a circle is A = π r², where

Let us solve the question

∵ The diameter of the circle is 7 cm

∴ d = 7 cm

∵ r = \(\frac{1}{2}\) d

→ Substitute d by 7

∴ r = \(\frac{1}{2}\) (7)

∴ r = 3.5 cm

→ Substitute the value of r in the rule of the area above

∵ A = π (3.5)²

∴ A = 12.25π

∵ π = \(\frac{22}{7}\)

∴ A = 12.25 ( \(\frac{22}{7}\) )

∴ A = 38.5 cm²

∴ The area of the circle is 38.5 cm²

The required value of y for the unit circle is: 2/3

The circle is defined as the locus of a point whose distance from a fixed point is constant i.e center (h, k).

The equation of the circle is given by:

(x - h)² + (y - k)² = r²

where:

h, k is the coordinate of the center of the circle on coordinate plane.

r is the radius of the circle.

Here,

Equation of the unit circle is given as,

x² + y² = 1

Now substitute the given value in the equation,

5/9 + y² = 1

y² = 1 - 5/9

y² = 4/ 9

y = √(4/9)

y = 2/3

Thus, the required value of y for the unit circle is 2/3

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In the grating equation nλ=d sin θ, the quantity θ will be determined in the lab by using meter sticks and geometry/trigonometry

The term equation is known as a mathematical statement that is made up of two expressions connected by an equal sign

Here we have given that the grating equation nλ=d sin θ, the quantity θ will be determined in the lab.

The term grating equation in math states that d = 1/N where N is the grating constant, and it is the number of lines per unit length and n is the order of grating, which is a positive integer, representing the repetition of the spectrum.

And the term trigonometry is defined as a branch of mathematics concerned with relationships between angles and ratios of lengths.

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For the given statement, we have to correctly rejecting the null hypothesis.

According to the statement

we have to find the outcome when hypothesis test evaluating a treatment that has a very large and robust effect.

For this purpose, we know that the

A hypothesis is a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.

And according to the given statement it is clear that the by this we have to rejected this hypothesis.

because this treatment and the large effects are not possible for the independent values of the hypothesis.

In other words, we can say that the we have to correctly rejecting the null hypothesis.

So, For the given statement, we have to correctly rejecting the null hypothesis.

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Answer:

6 over 50

Step-by-step explanation:

There are 6 purple draws out of 50 total, so the probability is 6/50

Answer:

6/50

Step-by-step explanation:

She does an experiment 50 times, and gets purple 6 times!

So, the experimental probability of pulling a purple is 6 times.

And the experiment was performed 50 times.

The experimental probabilty thus must be, (6 / 50), or 6 out of 50 pulls are purple, based on the experiment!

It's important to note this can be simplified to 3/25 but it doesn't look like that's an answer choice for u

The probability that the cycle time exceeds 60 minutes given that it exceeds 55 minutes is 2/1 or simply 1, which means it is certain that the cycle time exceeds 60 minutes if it exceeds 55 minutes.

Given that the cycle time for trucks hauling concrete to a highway construction site is uniformly distributed over the interval 50 to 70 minutes, we know that the probability density function is:

f(x) = 1 / (70 - 50) = 1/20, for 50 <= x <= 70

To find the probability that the cycle time exceeds 60 minutes given that it exceeds 55 minutes, we need to use conditional probability:

P(X > 60 | X > 55) = P(X > 60 and X > 55) / P(X > 55)

We can simplify this by noticing that if X is greater than 55, then it must be between 55 and 70, and therefore:

P(X > 55) = P(55 <= X <= 70) = (70 - 55) / (70 - 50) = 1/4

Similarly, we can rewrite the numerator as:

P(X > 60 and X > 55) = P(X > 60)

since if X is greater than 60, it is also greater than 55.

Now, to find P(X > 60), we integrate the density function from 60 to 70:

P(X > 60) = ∫60^70 (1/20) dx = (1/20) × (70 - 60) = 1/2

Putting it all together:

P(X > 60 | X > 55) = P(X > 60 and X > 55) / P(X > 55)

= P(X > 60) / P(X > 55)

= (1/2) / (1/4)

= 2

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Answer:

  A.  is a rational number.

Step-by-step explanation:

You want to know whether a product of rational numbers is rational.

You know that the product of fractions is ...

  \(\dfrac{a}{b}\times\dfrac{c}{d}=\dfrac{ac}{bd}\)

where a, b, c, d are integers.

A rational number can always be expressed as the ratio of two integers. The product of any two integers is an integer, so the product of any two rational numbers is rational.

Answer:

I think its D but im not completely sure. Good luck:)

Step-by-step explanation:

Answer:

16.5d

Step-by-step explanation:

Answer:

16.5d

Step-by-step explanation:

Since all terms are multiplied by d, they are all like terms and can be added and subtracted as if they were just constants

14.5d - 0.5d + 2.5d     (i converted them all to decimals so they all look simmilar)

14d+2.5d

16.5d

Answer:

60%

Step-by-step explanation:

Percentage

= 15/25 × 100%

=3/5 × 100%

= 60%

Answer: 60%

Step-by-step explanation:

Multiply both 25 and 15 by 4. Your fraction is 60/100 which is the same thing as 60%

The circle's area is 200.96 square inches.

What is the area?

A two-dimensional figure's area is the amount of space it takes up. In other terms, it is the amount that counts the number of unit squares that span a closed figure's surface. In general, square units such as square inches, square feet, etc. are used as the standard unit of area.

Any round form without edges or line segments is called a circle. In geometry, it has the shape of a closed curve.

radius, r =  8 inches

Area of a circle:

A = π r²

  = 3.14 * 8²

  = 200.96 square inches

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Answer:

option 6b):) is correct

The given equation x-1/x-2+x+3/x-4=2/(x-2).(4-x) is correct. the answer is proved.

According to the statement

we have given that the equation and we have to prove that the given answer is a correct answer for those equivalent equation.

So, The given expression are:

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

And we have to prove the answer.

So, For this

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

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

Then the equation become

\(\frac{x^{2} -4x -x +4 + x^{2} -2x + 3x -6 }{(x-2) (x-4)}\)

Now solve it then

\(2x^{2} - 4x -2 / (x-2) (x-4)\)

Now take 2 common from answer then equation become

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

Hence proved.

So, The given equation x-1/x-2+x+3/x-4=2/(x-2).(4-x) is correct. the answer is proved.

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The length of the tank is 2.1 yards or 7 feet.

In mathematics, the volume is a measure of the amount of space occupied by a three-dimensional object.

We can use the formula for the volume of a rectangular prism to find the length of the tank. The formula is:

V = lwh

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

We are given that the vοlume ο f the tank is 210 cubic yards, the width is 9 1/3 yards, and the height is 3 1/3 yards.

Substituting these values into the formula, we get:

210 = l × (28/3) × (10/3)

Simplifying, we get:

210 = (280/9) × (10/3) × l

210 = 100 × l

l = 210/100

l = 2.1

Hence, the length of the tank is 2.1 yards or 7 feet.

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Answer:

here is a link

Step-by-step explanation:

https://socratic.org/questions/the-volume-of-a-rectangular-prism-is-3x-3-34x-2-72x-64-if-the-height-is-x-4-what#374628