A truck can be rented from Company A for $70 a day plus $0.20 per mile. Company B charges $50 a day plus $0.70 per mile to rent the same truck. Find the number if miles in a day at which the rental costs for Company A and Company B are the same.

At ___ miles, the rental costs are the same from either company.

Answer: 8(2a - 3)

Step-by-step explanation:

Answer:

8(2a - 3)

Step-by-step explanation:

(16a - 24) / 8 =

8(2a - 3)

Answer:

6th Hour

Step-by-step explanation:

27t+38=200 Write your equation

27t+38=200 Subract 38 from both sides

     -38   -38

27t=162         Divide both sides by 27

—— ——

27    27

t=6

The required, within 6 hours there were 200 people entered in the stadium.

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,
To evaluate the hour for which there were 200 people entered the stadium, put f(t) = 200 in the given expression,
200 = 27t + 38
27t = 200 - 38
t = 162/27
t = 6

Thus, the required, within 6 hours there were 200 people entered in the stadium.

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Hello!

We will go tu use the pythagorean theorem!

So:

BA² = BC² + AC²

AC² = BA² - BC²

AC² = 52² - 20²

AC² = 2304

AC = √2304

AC = 48

Answer:

Each person will get 2 pounds of candy

Step-by-step explanation:

Nicole + 3 friends = 4 total

8 pounds of candy = total

total candy / total people

8/4 = 2

Answer: radius and height

Step-by-step explanation:

Radius is the distance between the center of the circle to its boundary.

Height is the length of the figure from top to bottom.

Given statement : A cylinder with height of 42 millimeters and radius of 12 millimeters.

That clearly means that the cylinder is having radius of 12 millimeters i.e. 12 is representing the measure of the radius of the cylinder.

And Similarly, 42 is representing the measure of the height of the cylinder.

Hence, the 2 and 42 describe the radius and height respectively of the cylinder.

Answer:

radius and height

Step-by-step explanation:

i just took the test edge 2020. rate me 5 stars!

To find the measure of the geometry-big circle, we need to sum up the measures of all the arcs around the circle.

We are given the following measures:

\(\sf\:m\angle AB = 56 \\\)

\(\sf\:m\angle BC = 59 \\\)

\(\sf\:m\angle CD = 63 \\\)

\(\sf\:m\angle DE = 63 \\\)

\(\sf\:m\angle EF = 31 \\\)

To find the measure of the geometry-big circle, we add up these measures:

\(\sf\:m\angle AB + m\angle BC + m\angle CD + m\angle DE + m\angle EF \\\)

Substituting the given values:

\(\sf\:56 + 59 + 63 + 63 + 31 \\\)

Simplifying the expression:

\(\sf\:272 \\\)

Therefore, the measure of the geometry-big circle is 272.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

\(\pi\)

Step-by-step explanation:

Area = \(\pi x^{2}\)  For a full circle.  This is 1/4 of a circle

A= \(\frac{\pi 2^{2} }{4}\) = \(\frac{\pi 4}{4}\) = \(\pi\)

Answer : The area of the shape is, 111.02 units 2

The allusion in this statement is "Sasquatch," referencing a legendary creature known for its large size and used humorously to imply the person's abnormally large shoe size.

The allusion in the given statement is "Sasquatch." Sasquatch, also known as Bigfoot, is a legendary creature often depicted as a large, hairy, and elusive humanoid. In this context, the reference to Sasquatch is used metaphorically to humorously imply that the person's shoe size is abnormally large.

The mention of Sasquatch adds a playful and exaggerated tone to the conversation about shopping for shoes. It serves as a lighthearted way for the dad to comment on the frequency of buying new shoes, suggesting that the person's feet grow rapidly or that they have a high shoe consumption rate.

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Answer:

4.9

Step-by-step explanation:

1.73205080757 * 2* 1.41421356237 = 4.89897934254

The coordinates of the point 3/10 of the way from a to b is (-0.3, -6.3)

The given parameters are:

The position of the point is given as:

Location = 3/10

Express as ratio

m ; n = 3 : 10 - 3

This gives

m ; n = 3 : 7

The coordinates of the point are then calculated as:

Point = Location * (mx2 + nx1, my2 + ny1)

This gives

Point = 3/10 * (3 * 9 + 7 * -4, 3 * 7 + 7 *  -6)

Evaluate

Point = 3/10 * (-1, -21)

This gives

Point =  (-0.3, -6.3)

Hence, the coordinates of the point 3/10 of the way from a to b is (-0.3, -6.3)

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Complete question

find the coordinates of the point 3/10 of the way from a to b

the coordinates of b is (9,7)

the coordinates of a is (-4,-6)

PROBLEM

2x - 4y = 20

4x - y = -2

METHOD

Use substitution method

Step 1

name the equations

2x - 4y = 20 ..................................1

4x - y = -2 ....................................2

Step 2

Choose one equation, make one variable subject of relation

from equation 2

4x - y = -2

4x + 2 = y

Step 3

substitute y in equation 1

2x - 4y = 20

2x - 4(4x + 2 ) = 20

2x - 16x - 8 = 20

2x - 16x = 20 + 8

-14x = 28

Divide by -14

x = 28/-14

x = -2

Step 4

substitute x in equation1 to find y

4x + 2 = y

4(-2) + 2 = y

-8 + 2 = y

-6 = y

y = -6

Number of years taken to reach the amount of $12,690 is 5 days,

Compound interest is the interest which is calculated on both the initial principal and the accumulated interest from previous periods. It can be easily understood as interest on interest.

                              \(A= P(1+\frac{r}{n})} ^{nt}\)

Principal amount invested by Lydia = $8,300

Rate of compound interest per day =2.2%

To find the number of years that have taken to reach the amount value of $12,690 .

By using compound interest formula,

\(A= P(1+\frac{r}{n})} ^{nt}\)

\(12690 = 8300(1+ \frac{2.2}{365})^(365*t)\)

\(\frac{12690}{8300}=(1.000060274)^{365*t}\)

Taking log on both sides, we get,

log(1.5289156627) =365*t log(1.000060274)

log(1.5289156627)/log(1.000060274)= 365*t/log(1.000060274)⇒

0.184383 - 0.00002618= 365*t

⇒1843.5 =365*t

⇒t=5 days.

Hence, number of years taken to reach the amount of $12,690 is 5 days,

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The pattern in converting logarithmic form to exponential form and vice versa is this:

For the first exponential equation that is 16 = 8^4/3, our y = 16, b = 8, and x = 4/3. Let's plug this in the logarithmic pattern.

The logarithmic form of the first equation is log₈ 16 = 4/3.

Now, let's move to the second one.

b = 5, y = 15, 625, and x = 6. Let's plug these in to the exponential pattern.

Hence, the exponential form of the second equation is 15, 625 = 5⁶.

The length of 2 sides and an angle between them is given A = ½ × b × c × sin(α) If two angles and the length between them is given A = For an isosceles right triangle A = ½ × a.

If the height (i.e. the altitude) and base of an isosceles triangle are known, the area can be easily calculated. The area of the isosceles triangle is calculated by multiplying the height by the base and dividing by two. As a result, an isosceles triangle has two equal sides and two equal angles. The name is derived from the Greek words iso (same) and skelos (skull) (leg). An equilateral triangle has all of its sides equal, whereas a scalene triangle has none of its sides equal.

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Answer:

z+5

Step-by-step explanation:

the word more indicates addition

1. The scale factor here in the dilation is 4/3.

2. Yes, dilation occurred on the coordinate plane below. The scale factor for the dilation is -4/3.

During the process of dilatation, an object must be reduced in size or changed. It is a transformation that uses the given scale factor to shrink or expand the objects. The image is the new figure that forms as a result of dilatation, whereas the pre-image is the original figure. There are two kinds of dilation:

A rise in an object's size is referred to as expansion.

Contraction is the term used for a reduction in size.

Here in the question,

The coordinates of the point B change from (-3,6) to (-4,8).

The scale factor here is -4/-3=4 or 8/6=4/3.

Now, when the dilation happens below the plane, the coordinates will be (x,-y)

So, the dilation factor will be -4/3.

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Answer:

the answer would be B: 2.125lb.

Answer: B; 2.125lb

Step-by-step explanation: 34 ounces to pounds is 2.13lb (rounded, the exact number is 2.125lb

(∀x)P(x) can be written as p ∧ q, (Ǝx)P(x) can be written as ¬p ∨ ¬q, and the universal and existential negation rules of predicate logic correspond to the DeMorgan's law of propositional logic, which states that ¬(p ∨ q) = ¬p ∧ ¬q.

a) The statement (∀x)P(x) states that P(x) is true for all x in the domain, which consists of just 0 and 1. So, if P(0) is true, represented by p, and P(1) is true, represented by q, then (∀x)P(x) is true. Therefore, (∀x)P(x) can be written as p ∧ q.

b) The statement (Ǝx)P(x) states that P(x) is true for at least one x in the domain, which consists of just 0 and 1. So, if either P(0) is true, represented by p, or P(1) is true, represented by q, then (Ǝx)P(x) is true. Therefore, (Ǝx)P(x) can be written as p ∨ q.

c) The negation of (∀x)P(x), represented as ¬(∀x)P(x), is equivalent to the negation of (∀x)P(x) in predicate logic, represented as (Ǝx)¬P(x). This corresponds to DeMorgan's law of propositional logic, which states that ¬(p ∧ q) = ¬p ∨ ¬q.

Similarly, the negation of (Ǝx)P(x), represented as ¬(Ǝx)P(x), is equivalent to the negation of (Ǝx)P(x) in predicate logic, represented as (∀x)¬P(x). This corresponds to DeMorgan's law of propositional logic, which states that ¬(p ∨ q) = ¬p ∧ ¬q.

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Answer:

neither

Step-by-step explanation:

parallel lines will have the same number next to the x

perpendicular lines will have the negative reciprocal number next to the x

(for example 2 and -1/2 are negative reciprocals)

y−4=3(x+5)

parenthesis first

y−4=3x+15

y=3x+19

y+3= −13(x+1)

y+3= −13x−13

y= −13x−16

3x and −13x are neither the same nor negative reciprocals of each other so

the answer is neither

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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The solution to the equation x3 + 2x - 16 = 16 x2 + 16 is approximately x = -2.4 and x = 4.4 when using the intersection of two graphs method.

To use the method of the intersection of two graphs to find the solution of the equation x^3 + 2x - 16 = 16 x^2 + 16, we first need to graph both equations on the same coordinate system. Then, we can look for the points where the two graphs intersect, which will correspond to the solutions of the equation.

First, let's rearrange the equation into the form f(x) = g(x), where f(x) = x^3 + 2x - 16 and g(x) = 16x^2 + 16. This gives:

x^3 + 2x - 16 = 16x^2 + 16

or

x^3 - 16x^2 + 2x - 32 = 0

We can see that the two graphs intersect at two points, which correspond to the solutions of the equation. Using the graph, we can estimate the solutions to be approximately x = -2.4 and x = 4.4.

To get a more precise estimate of the solutions, we can use numerical methods such as Newton's method or bisection method. Alternatively, we can use algebraic methods such as factoring or the rational root theorem to find the exact solutions.

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The percent of the variation in mileage that cannot be explained by differences in the cars ages is 36.1%.

A statistical indicator of the strength of a linear relationship between two variables is the correlation coefficient. A correlation coefficient is a statistical indicator of how well changes in one variable's value predict changes in another. When two variables are positively correlated, the value either rises or falls together.

The correlation r between the age of a car x , and the cars mileage, y is 0.639. This means that 63.9 % of the variation in mileage can be explained by the differences in the cars ages, 100 – 63.9 = 36.1% of the variation cannot be explained.

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Answer: see attached

Step-by-step explanation:

 From the given properties of the functions,

 Functions given in the picture are 'f', 'g' and 'h'.

From the graph given for function 'f',

y - intercept = 1

Increasing in the interval → (-∞, -0.8] and (0.6, ∞)

Decreasing in the interval → [-0.8, 0.6]

From the table given for the function 'g',

Decreasing in the interval → [-2, 2]

y-intercept = -1

For function 'h',

h(x) = 4x³ + 3

Table of the input-output values for function will be,

x           h(x)

-2         -29

-1            -1

0            3

1             7

2           35

Therefore, function 'h' will increase in the interval → (-∞, ∞)

y-intercept → y = 3

Therefore, from these properties of the functions we conclude,

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Answer:

Wheres the picture so show the measurements

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

Given parameters:

Number of those who voted in favor of the tax  = 19

Total member of the council  = 38

Unknown:

Percentage of council members that voted in favor of the tax  = ?

Solution:

To find the percentage of those that voted in favor;

               = \(\frac{number of those that voted in favor}{Total number of council members } x 100\)

Input the parameters and solve;

               = \(\frac{19}{38}\) x 100

               = 50%

The probability that Carla rolls a multiple of 3 on her first roll, and a number that is not a prime number on her second roll is 5/18.

Probability is a branch of mathematics that deals with the study of random events or experiments. It is defined as the measure of the likelihood of an event occurring. Probability is expressed as a number between 0 and 1, with 0 indicating that the event will not occur and 1 indicating that the event will occur.

In simple terms, probability is the ratio of the number of favorable outcomes to the total number of possible outcomes. For example, if we roll a fair six-sided die, there are six possible outcomes, and each outcome has an equal chance of occurring. Therefore, the probability of rolling a 1 is 1/6, and the probability of rolling an even number is 3/6 or 1/2.

Probability theory has wide applications in various fields such as science, engineering, finance, and economics. It is used to model and analyze various real-world situations such as gambling, weather forecasting, stock market analysis, and many more.

The probability of rolling a multiple of 3 on the first roll is 5/12.

The probability of rolling a number that is not a prime on the second roll is 1 - (4/12) = 8/12.

To find the probability of both events happening, we multiply their probabilities:

(5/12) x (8/12) = 40/144 = 5/18

Therefore, the probability that Carla rolls a multiple of 3 on her first roll, and a number that is not a prime number on her second roll is 5/18.

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Answer:

D

Step-by-step explanation:

The Triangle Inequality states that the sum of the two largest side lengths of a triangle must be greater than the length of the largest side. Let's check these answers.

A: Since 18 + 26 > 46 is a false statement, A is not the answer.

B: Since 18 + 26 > 49 is false, B is not the answer.

C: Since 18 + 6 > 26 is false, C is not the answer.

D: Since 18 + 26 > 32 is false, D is the answer.

Answer:

since ab=18 and bc= 26 and if u draw out the shape and write them down u would mostly get d but I not too sure is d that the best I can do

Step-by-step explanation:

Answer:

07

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

V = 5

I = 1

V + I + I = 5 + 1 + 1 = 7

Hope that helps