.A car is traveling on a small highway and is either going 55 miles per hour or 35 miles per hour, depending on the speed limits, until it reaches its destination 200 miles away. Letting x represent the amount of time in hours that the car is going 55 miles per hour, and y being the time in hours that the car is going 35 miles per hour, an equation describing the relationship is: 55x+35y=200


A: If the car spends 2.5 hours going 35 miles per hour on the trip, how long does it spend going 55 miles per hour?

B: If the car spends 3 hours going 55 miles per hour on the trip, how long does it spend going 35 miles per hour?

C: If the car spends no time going 35 miles per hour, how long would the trip take? Explain your reasoning.

Answer:

C - 16√5

Step-by-step explanation:

Simply subtract 19 and 3 while keeping √5 the same.

19√5 - 3√5 = 16√5

0.25x^2 - 0.16y^4

Both terms are perfect squares so use the difference of squares formula

A^2 - b^2 = (a+b)(a-b) where a = 5x and b = 4y^2

Answer is 0.01(5x + 4y^2)(5x-4y^2)

Answer:

Solution given:

0.25x^2 - 0.16y^4

[0.5x]²-[0.4y²]²

[Note: Using formula: x²-y²=(x+y)(x-y)]

(0.5x+0.4y²)(0.5x-0.4y²) is a required answer.

Answer:

20

Step-by-step explanation:

5*4=20

5*5=25, but it is bigger than 24.

So the ans is 20

Answer:

x = 25

y = 65

Step-by-step explanation:

I'm not sure if I'm right but..

To solve x:

Since there is a 90 degree angle with 65 degrees and x, the total should sum up to 90. (ofc)

90 - 65 = 25 <--- the missing angle (x)

To solve y:

I'm pretty sure that it is also a 90 degree angle because there is a 90 degree across from you, so they should have the same angles. Since you know x=25, You would do this:

90 - 25 = 65 <--- y

Your welcome!!

The null hypothesis exists that the standard deviation σ exists equivalent to 0.62. The alternative hypothesis exists that it does not equivalent 0.62.

Statistical hypothesis testing employs null and alternate hypotheses. While the alternative hypothesis states your research's prediction of an effect or relationship, the null hypothesis of a test always predicts no effect or no association between variables.

A proposed claim or defense in the hypothesis test is referred to as an alternative hypothesis in statistics. In most cases, it supports the research premise and shows that there is a statistical relationship between the variables. It is one of the two statements in statistical hypothesis testing that are mutually exclusive.

H₀: σ = 0.62

H₁: σ ≠ 0.62

The null hypothesis exists that the standard deviation σ exists equivalent to 0.62.

The alternative hypothesis exists that it does not equivalent 0.62.

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Exponential growth on a logarithmic graph looks like a straight line. On a regular graph, the line would appear to be curved, but when plotted on a logarithmic graph, the line appears to be a straight line.

Exponential growth on a logarithmic graph appears as a straight line. This is because the logarithmic scale is a compressed scale, meaning that it takes a large range of values and compresses them into a smaller range. This makes the data easier to read and understand. The straight line occurs because the logarithmic scale is designed to fit the data points more closely, making the line appear linear. This is in contrast to the regular scale, where the line appears curved due to the large range of values being plotted. Thus, exponential growth appears as a straight line on a logarithmic graph.

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The graph has plotted and attached below

What is inequality?

Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare two values. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign in between. Sometimes it can be about a "not equal to" relationship, where one thing is more than the other or less than. In mathematics, an inequality is a relationship that results in a non-equal comparison between two numbers or other mathematical expressions.

2x + 3y <12.

Here The graph have plotted and attached below.

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Answer:

D. infinitely many

Step-by-step explanation:

5+2 = 7 so 4y + 7 = 5 + 2 + 4y just equals 4y + 7=4y + 7 and any value of y is true in that equation.

Answer:

D :)

Step-by-step explanation:

Add 55 and 22.

4y+7=7+4y4y+7=7+4y

Move all terms containing yy to the left side of the equation.

Subtract 4y4y from both sides of the equation.

4y+7−4y=74y+7-4y=7

Combine the opposite terms in

Subtract 4y4y from 4y4y.

0+7=70+7=7

Add 00 and 77.

7=77=7

Since 7=77=7, the equation will always be true for any value of yy.

All real numbers

The result can be shown in multiple forms.

All real numbers

Interval Notation:

(−∞,∞)

Answer:

8%

Step-by-step explanation:

78.84 - 73 = 5.84

Tax = $5,84

5.84 / 73 = 0.08

0.08 * 100 = 8%

Answer:

8%

Step-by-step explanation:

1. Set up the equation represented

[tex]$78.84 = \frac{x}{100}(73) + 73[/tex]

x is the sales tax percentage. hence, we have to solve for x.

[tex]$78.84 = \frac{x}{100}(73) + 73[/tex]

[tex]$78.84 = \frac{73x}{100} + 73[/tex]

[tex]5.84 = \frac{73x}{100}[/tex] . . . . . . . . . . . . . . subtract both sides of the equation by 73

[tex]584 = 73x[/tex] . . . . . . . . . . . . . . multiply both sides by 100

[tex]8 = x[/tex] . . . . . . . . . . . . . . . . . . divide both sides by 73

∴ There was an 8% sales tax on the ceramic vase.

PLEASE MARK BRAINLIEST IF THIS HELPED YOU. THANKS.

The solution to the system of linear equations (x, y) lies along 4 and 7 and the graph is attached below.

A graph of a system of linear equations is a set of points in a coordinate plane that represent all the solutions to the system of equations. The graph can be visualized as a collection of lines that intersect at the points that are solutions to the system.

In the given problem, we have two linear equations which are

y = 3x - 6 ...eq(i)

y = 2/5x + 5 ...eq(ii)

Plotting the two equations on a graph using a graphing tool, the point of intersection is the solution to the system of linear equation.

The coordinates to the nearest integer are (x, y) 4 and 7

The value of x is 4 and y is 7

Kindly find attached graph below.

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An initial investment of $580, earning 3% annually-compounded interest, will take 18.429 years (investment period) to reach $1,000.

The period for the investment to accumulate to $1,000 at 3% compounded interest is computed using an online finance calculator.

The parameters required include identifying the interest rate, compounding period, present investment, and future value., from the given formula:

A = 580(1.03)^t

$1,000 = 580(1.03)^18.429

I/Y (Interest per year) = 3%

PV (Present Value) = $580

PMT (Periodic Payment) = $0

FV (Future Value) = $-1000

Results:

N = 18.429

= 18 years and 5 months

Total Interest = $420

Thus, for the account to reach $1,000, it will take 18 years and 5 months.

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A = 580(1.03)^t

Answer:

A polygon is a two-dimensional closed figure that has three or more straight sides. Any figure with straight edges, such as a triangle or rectangle, is a polygon. Figures that have any curved sides or open sides are not classed as polygons

Step-by-step explanation:

A regular polygon is a polygon where all of the side lengths are equal and all of the angle measures are equal. ... However, the sides are not congruent. Therefore, it is an irregular pentagon. Irregular polygons have side lengths that are not congruent.

there's no pic that helps determine which is which but I hope this explanations helps you.

Answer:

Solution given:

Step-by-step explanation:

[note: sin²x+cos²x=1]

Answer:

(sinx+coax+sinx-cosx) ( sinx+cosx-sinx+cosx)

4sinxcosx

2sin2x

The correct answer of expression 's+3' is (c) Teresa wasn't sure how far she would swim during the first class. She would swim 3 laps during the second class. She used the sign "+" instead of "x" or any other notation.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:

Expression is (Number/variable, Math Operator, Number/variable)

The answer here should be Option C, as she used the sign "+" instead of "x" or any other notation. She wanted to add something.

And as it is very clear that she wanted to write the information about two classes, so that makes the second term for second class and first term for first class.

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The complete Question is:

Teresa wrote this expression (s+3) to describe the total distance she was going to swim during two swim classes. Which situation could be described by this expression?

A. Teresa wasn't sure how far she would swim during the first class. She would swim 3 fewer laps during the second class.

B. Teresa wasn't sure how far she would swim during the first class. She would swim the same distance for 3 classes.

C. Teresa wasn't sure how far she would swim during the first class. She would swim 3 laps during the second class.

D. Teresa wasn't sure how far she would swim during the first class. She would swim 3 times farther during the second class.

Answer:

<K = 67degrees

Step-by-step explanation:

From the parallelogram given, the opposite angles are equal i.e <L = <J

Given

<L = 5x + 18

<J = 7x - 20

Equating both sides

5x +  18 = 7x - 20

Collect the like terms

5x - 7x = -20 -18

-2x = -38

x = 38/2

x = 19

Also <J + <K = 180

7x - 20 + <K = 180

7(19) - 20 + <K = 180

133  - 20 + <K = 180

113 + <K = 180

<K = 180 - 113

<K = 67degrees

Answer:

The area of the triangle is 27

Answer:

Y-intercept: 15

Slope: 1.3

Equation: y = 1.3x + 15

Step-by-step explanation:

Base on the table:

# of haircuts = x

Cost ($) = y

Knowing that;

y-intercept = The starting point (y)

Thus, based on the table the y-intercept is 15.

Y-intercept: 15.

To find the slope.

We first have to pick two points on the line & determine their coordinates.

Then subtract y-coordinates of these two points and also subtract x-coordinates for these two points.

After that divide the y by the x.

Shown below:

I'm going to use;

(0,15) and (1,20.5)

0 = x₁

15 = x₂

1 = y₁

20.5 = y₂

Now we do;

20.5 - 1 = 19.5

15 - 0 = 15

19.5 / 15 = 1.3

Hence, Slope = 1.3

Slope: 1.3

The equation - y = mx + b

Knowing that;

b = y-intercept

m = Slope

Substitute it in we have;

y = 1.3x + 15

Equation: y = 1.3x + 15

RevyBreeze

Answer:

9 3/4 cubic units

Step-by-step explanation:

The formula for the volume of a rectangular prism =

Length × Width × Height

From the question:

Length = 3 units

Height = 3 1/4 units

Width = 1 unit.

Volume of the prism =

3 units × 3 1/4 units × 1 unit

= (3 × 13/4 × 1 )cubic units

= 39/4 cubic units

= 9 3/4 cubic units

The total volume of the rectangular prism = 9 3/4 cubic units

Answer:

✔ 9

whole-unit cubes fit inside the prism.

✔ 3

quarter-cubic units fit inside the prism.

The total volume of the prism is  

✔ 9 3/4  units3.

Answer:

amogus

Step-by-step explanation:

B)

The given equation 1 value of F(x) is 0.109 and in equation 2 F(x) is -4 respectively.

Trigonometry is one of the important branches in the history of mathematics that deals with the study of the relationship between the sides and angles of a right-angled triangle. This concept is given by the Greek mathematician Hipparchus.

Trigonometry is the study of angles and the angular relationships between planar and three-dimensional figures. The cosecant, cosine, cotangent, secant, sine, and tangent are among the trigonometric functions (also known as the circular functions) that make up trigonometry.

if x⁰=π in eq1

then [tex]f(x)= sin\ 2 \pi[/tex]

[tex]f(x) = 0.109[/tex]

if x⁰= -1 in eq2

then [tex]f(x)=3(-1)-(-1)^2[/tex]

[tex]f(x) = -4[/tex]

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Answer: 7.785,7.476,7.293,8.37.7.9

Step-by-step explanation:

Answer:  3174.4

Step-by-step explanation:

Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.

34.7 is the monthly phone use will Plan A cost no more than Plan B and 2.1 is the value of m in the inequality.

a relationship between two expressions or values that are not equal to each other is called 'inequality.

In Plan A, the customer pays a monthly fee of $20 and then an additional 7 cents per minute of use

20+7m

In Plan B, the customer pays a monthly fee of $26.30 and then an additional 4 cents per minute of use

26.3+4m

We need to find the amounts of monthly phone use will Plan A cost no more than Plan B

20+7m<26.3+4m

7m-4m<26.3-20

3m<6.3

m<2.1

Hence, 34.7 is the monthly phone use will Plan A cost no more than Plan B and 2.1 is the value of m in the inequality.

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The probability that at least 12 buy their lunch =  0.887

Given that 73% of students buy their lunch.

⇒ p = 0.73

And q = 1-p

q =  0.27

sample size (the number of student selected) n = 19

We need to calculate the probability that at least 12 buy their lunch.

i.e., P(x ≥ 12)

We use binomial distribution formula, P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

P(X ≥ 12)

= P(X= 12) + P(X= 13) + P(X= 14) + P(X= 15) + P(X= 16) + P(X= 17) + P(X= 18) + P(X= 19) [tex]=~ ^{19}C_{12}(0.73)^{12}(0.27)^{7} + ^{19}C_{13}(0.73)^{13}(0.27)^{6}+ ^{19}C_{14}(0.73)^{14}(0.27)^{5} + ^{19}C_{15}(0.73)^{15}(0.27)^{4} + ^{19}C_{16}(0.73)^{16}(0.27)^{3} + ^{19}C_{12}(0.73)^{17}(0.27)^{2}+ ^{19}C_{12}(0.73)^{18}(0.27)^{1}+ ^{19}C_{12}(0.73)^{19}(0.27)^{0}[/tex]

= 0.1207 + 0.1757 + 0.2036 + 0.1835 + 0.1240 + 0.0592 + 0.0178 + 0.0025

= 0.887

The required proability is  0.887

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Answer:

12.49 = r

13 = r to the nearest cm.

Step-by-step explanation:

The formula to calculate the volume is:

V = π*r^2*h

We know that V = 10291 cm^3 and Height (h) = 21cm

V = π*r^2*h

10291 = π*r^2*21

Divide both side by 21

10291/21 = (π*r^2*21)/21

490.05 = π*r^2

Now divide both side by π

490.05/π = (π*r^2)/π

155.99 = r^2

Now square root both side

√155.99 = √(r^2) Note: square and square root cancel eachother out.

12.49 = r or,

13 = r

Answer:

6 kilometers

Step-by-step explanation:

2x3=6

please brainiest

Answer:

It explicitly states that 1cm represents a distance of 3km.

If the two places are 2cm apart...

it simply means that they're 6km apart!.

Answer:

None of them are the same