100 POINTS AND BRAINLIEST!!

Answer:

j(t) = 0.16t + 1.46

Step-by-step explanation:

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

To rewrite the function j(t) = 1.7 + 0.4(t - 0.6) in slope-intercept form, we can isolate the y-intercept and the slope.

First, expand the parenthesis to get j(t) = 1.7 + 0.4t - 0.24.

Next, rearrange the terms to get j(t) = 0.16t + 1.46.

So, in slope-intercept form, j(t) = 0.16t + 1.46, where the slope is 0.16 and the y-intercept is 1.46.

Answer: 3:5

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

Not sure what you are asking   the question states the ratio is 3:5

Answer: 12 seconds

Step-by-step explanation: it takes 4 seconds for the sloth to travel 1 for so 4 times 12 is 48, it takes 3 seconds for the turtle to travel a foot so 3 times 12 is 36 and 48 - 36 is 12, 12 seconds

Using trigonometric function the length to the nearest foot of the shortest ladder that will safely reach a roof that is 23 feet high is calculated as 25 feet.

What are trigonometric functions?

Simply put, trigonometric functions—also called circular functions—are the functions of a triangle's angle. This means that these trigonometric functions provide the relationship between the angles and sides of a triangle. Sine, cosine, tangent, cotangent, secant, and cosecant are the fundamental trigonometric functions.

Given the angle a ladder makes with the ground should be no greater than 67°.

So the angle θ ≤ 67°.

Let us assume the angle to be equal to 67°

The height of the roof from the ground is 23 feet.

The ladder and wall form the right triangle where the ladder works as hypotenuse and the wall as perpendicular.

With the sine function, find the length of the ladder -

sin θ = perpendicular/hypotenuse

Let the length of ladder be x.

sin 67° = 23/x

x = 23/sin 67°

x = 23/0.920

x = 25 feet

Therefore, the length of the ladder is 25 feet.

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x²⁸y²⁸ is the simplified form of the expression ( x⁻⁴ / y⁴ )⁻⁷ written in positive exponents.

Given the expression in the question;

( x⁻⁴ / y⁴ )⁻⁷

To simplify, apply the exponent rule;

b⁻ⁿ = 1/bⁿ

( x⁻⁴ / y⁴ )⁻⁷

Replace x⁻⁴ with 1/x⁴

( 1/x⁴ / y⁴ )⁻⁷

( 1/x⁴ × 1/y⁴ )⁻⁷

( ( 1 × 1 ) / ( x⁴ × y⁴ )  )⁻⁷

( 1/x⁴ y⁴ )⁻⁷

Change the sign of the exponent by rewriting the base as its reciprocal.

( x ⁴y⁴ )⁷

Apply product rule;

( bᵃ mᵇ)ⁿ = bᵃⁿ × mᵇⁿ

( x⁴ y⁴ )⁷

x⁴ ˣ⁷ × y⁴ ˣ⁷

x²⁸ × y²⁸

x²⁸y²⁸

Therefore, the simplified form of the expression is x²⁸y²⁸.

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Answer:

y^28 x^28

Step-by-step explanation:

Simplify the following:

(1/(x^4 y^4))^(-7)

(1/(x^4 y^4))^(-7) = (y^4/x^(-4))^7:

(y^4/x^(-4))^7

Multiply each exponent in y^4/x^(-4) by 7:

(y^(7×4))/((x^(-4))^7)

7×4 = 28:

y^28/(x^(-4))^7

Multiply exponents. (x^(-4))^7 = x^(-4×7):

y^28/x^(-4×7)

-4×7 = -28:

y^28/x^(-28)

Multiply the numerator of y^28/x^(-28) by the reciprocal of the denominator. y^28/x^(-28) = y^28 x^28:

Answer: y^28 x^28

Answer:

25 + 21 + 12 + 15 + (-30)+ 19+ (-27) + 9 + 6

Step-by-step explanation:

30 and 27 are both negative numbers

hope this helps

The fare for a 500-mile trip is 164.

The equation provided in the question is known as a linear equation. A linear equation is an equation that has a single variable that is raised to the power of one.

The general form of a linear equation is:

y = mx + b

Where:

In the equation used to calculate the fare, y=0.28x+24, 0.28 is the variable cost and 24 is the fixed cost.

Cost of a 500-mile trip = y=0.28(500) +24

y = 140 + 24

y = 164

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On the hot summer day, 639 people used the public swimming pool.

c+a=508

so:1.75c+2.25a=1083.00

c=1083

60=0.5c

so: c=120

a=508−c

so a=388

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We can get a more accurate result by combining the two fractions with a common denominator and then rounding.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Let's round to the nearest whole number.

8/5 = 1.6 = 2

7/4 = 1.75 = 2

2 + 2 = 4

Now let's find the common denominator:

The least common denominator between 5 and 4 is 20, so change both fractions to denominators of 20:

32/20 + 35/20

Add the numerators and keep the denominator:

67/20

67/20 = 3.35 = 3

Therefore, adding the two fractions using a common denominator and then rounding gives us a closer answer.

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In order for the parallelogram to be a rhombus, x =  12.

The angle across which a rhombus's diagonal passes is therefore divided in half by that diagonal. An equilateral rhombus has equal opposite angles. In a rhombus, each vertex angle is divided by the diagonals.

The diagonals of a rhombus are not all congruent, though. Despite having unique characteristics like right-angle intersections and bisecting each other, a rhombus' diagonals do not satisfy the condition of congruency.

The diagonal and the angle's bisector are both present in rhombuses, hence the two values must match.

2x + 35 = 8x- 37

simplifying the above equation, we get

6x = 72

x = 12

Therefore, the value of x = 12.

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So the first place we should fill in S= c²+2ab the second place we should fill in S=(a+b)² the third place we should fill in 2ab.

A square is a 2D figure with equal-sized sides on each side. The area would be length times width, which is equal to side side because all the sides are equal. As a result, a square's area is side square.

S₁ = (a+b) (big square) equivalent expressions:

S₂ = c²+ 4x & ab (small square and four triangles)

= c²+2ab

(a + b)² =a²+b²+2ab from both sides a²+2ab+b²=c² +2ab (subtract 2ab at the same time)

=> a²+b²=c²

So the first place we should fill in S= c²+2ab the second place we should fill in S=(a+b)² the third place we should fill in 2ab.

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The second planet from the Sun is Venus. It is sometimes referred to as Earth's "twin" or "sister" planet because it is nearly as big and comparable in makeup.

Venus, an inner planet to Earth, is always close to the Sun whether it appears in the night or morning sky.

Because Venus spins in the opposite way from Earth and the majority of other planets, it is peculiar. Additionally, it rotates rather slowly. One complete rotation of the Earth takes approximately 243 days. Considering its proximity to the Sun, a year passes quickly. Venus is surrounded by a thick, sulfuric acid-filled, carbon dioxide-rich atmosphere that traps heat and results in an out-of-control greenhouse effect.

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Answer:

70

Step-by-step explanation:

We know that the ones digit is zero, and thus the tens digit is 7.

Answer:

what is the dimensions then I can help

Answer:

HELP you find the perimeter of what? you didnt link it.

Step-by-step explanation:

Answer: A line of best fit is a straight line that is the best approximation of the given data. It can be represented by the equation: y = mx + b, where m is the slope (the rate of change) of the line and b is the y-intercept (the point where the line crosses the y-axis)

To find the equation for the line of best fit for a set of data, we can use the least squares method. It involves finding the slope (m) and y-intercept (b) that minimize the difference between the predicted values of y and the actual values of y.

To find the slope, we use this formula:

m = (N∑(xy) - (∑x)(∑y)) / (N∑(x^2) - (∑x)^2)

Where N is the number of data points, x is the independent variable, y is the dependent variable, ∑ denotes the sum of all the values.

To find the y-intercept, we use this formula:

b = (∑y - m(∑x))/N

After applying the formula:

m = (5*(731) - (58)(96)) / (5*(198) - (58)^2)

m = 0.957

b = (96 - 0.957*58)/5

b = -6.836

So, the equation for the line of best fit for the given data is:

y = 0.957x - 6.836

Rounded to three decimal places, the slope and y-intercept are:

m = 0.957 and b = -6.836

So the equation for the line of best fit for the given data is: y = 0.957x - 6.836.

This equation represents the line of best fit for the given data, meaning that it is the line that most closely approximates the data.

Step-by-step explanation:

Last year, Frank opened an investment account with $7400. At the end of the year, the amount in the account had increased by 21%.

a) (121/100) × $7400

b) $8954

Stocks, bonds, funds, and other securities are kept in investment accounts in addition to cash. An important distinction between a bank account and an investment account is that the value of the assets in an investment account might vary, and even go down.

Savings may also refer to investing money in things like bank time accounts. By purchasing assets that might improve in value, such as stocks, real estate, or shares in a mutual fund, you can invest some of your money with the goal of seeing it grow.

Given that,

Frank opened an investment account with $7400

At the end of the year, the amount in the account had increased by 21%

a) year end amount:

= [(100 + 21)/ 100] × $7400

= (121/100) × $7400

b) year-end amount in Frank's account:

= (121/100) × $7400

= $8954

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Given:

The triangles  ΔKRO and ΔKCO are right triangles with common leg and congruent hypotenuse. It is sufficient for HL (Hypotenuse - leg) congruence. RK and KC are hypotenuse and OK is common leg.

     Statement                                       Reason                

Given:

To prove FG ≅ AG, we'll first prove the triangles are congruent by AAS as we have one congruent angle pair, one side is common to both triangles, another pair of congruent angles is formed by the angle bisector. The common side is adjacent to one of the congruent angles but not included.

     Statement                                       Reason                

Answer: 150% can be written as a fraction as 3/2 or a mixed number as 1 1/2.

Step-by-step explanation: The fraction form is obtained by dividing 150 by 100 and simplifying the fraction to its simplest form.

The elements in order of greatest mass are hydrogen, carbon, oxygen, silver, and gold.

List the elements in ascending order of mass per atom, from least to most.) of Element Weight per atom Carbon 1.995 X 10-23 0 Gold 3.272 X 10-22 0 Hydrogen 1.674 X 10-24 6 2.658 x 10-23 6 oxygen Silver 1.792 X 10-22 0

Scientific notation is used to write the mass. Large numbers are expressed in smaller quantities using scientific notation.

For instance:

The elements in order of greatest mass are hydrogen, carbon, oxygen, silver, and gold.

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The angle between 0° and 180° satisfying the given equation will be 127°.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

The equation is given below.

cos x = − 3/5

cos x = cos 127°

x = 127°

The angle between 0° and 180° satisfying the given equation will be 127°.

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The number of points in the second quadrant will be 0.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

As the function is an odd function, it means

f(-x)= -f(x)

So, if you will draw the graph of any of the odd functions, if six points lie in the first quadrant, a similar number of points will be in the third Quadrant, as the two parts will be mirror images of each other.

The other two points will be, one origin (0,0) and the other will be a point on the X-axis.

You can check this, by taking any of the polynomial functions, for example,x, x³, x+x³, etc.

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if x = 2 we get the answer - 8084, and x = (-5) is 20735. A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.

The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal.

Consider the equation 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the symbol "equal."

x = 2

12² + 5(2) - 4122 (2) + 6 = -8084

12² + 5(2) - 4122 (2) + 6

Calculate exponents  12² :144

= 144 + 5(2) - 4122 (2) + 6

Multiply and divide (left to right) 5(2) : 10

= 144 + 10 - 4122 (2) + 6

= 144 + 10 - 8244 + 6

= - 8084

x = -5

12² + 5 (-5) - 4122 (-5) + 6 = 20735

12² + 5 (-5) - 4122 (-5) + 6

12² = 144

Simplifying,

5 (-5) = -25

4122 (-5) = -20610

= 144 - 25 - (-20610) + 6

Then we get,

= -25 - (-20610) = -25 + 20610

= 144 - 25 + 20610 + 6

= 20735

Therefore, if x = 2 we get the answer - 8084, and x = (-5) is 20735

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On solving the provided question, we can say that from the graph, we have 20y = x^2-1 => x - 2 => y = 3/20

Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle

here,

from the graph, we have

20y = x^2-1

x - 2

20y = 3

y = 3/20

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Answer:

80

Step-by-step explanation:

The level of significance was estimated to be 0.05, or 5%.

The measurement of statistical significance is called degree of significance. Whether the null hypothesis is thought to be accepted or rejected is specified. If the outcome is statistically significant, it should be possible to conclude that the null hypothesis is either incorrect or invalid.

We are given the following in the question:  

Population mean, μ = 30 miles/gallon

The given data be 26, 24, 20, 25, 27, 25, 28, 30, 26, 33.

Standard Deviation [tex]$=\sqrt{\frac{\sum\left(x_i-\bar{x}\right)^2}{n-1}}$[/tex]

where [tex]$$$x_i$[/tex] are data points, [tex]$\bar{x}$[/tex] exists the mean and n exists the number of observations.

Mean = Sum of all observations/Total number of observation

Mean [tex]$=\frac{264}{10}=26.4$[/tex]

Sum of squares of differences = 110.4

S.D [tex]$=\sqrt{\frac{110.4}{9}}=3.50$[/tex]

Sample size, n = 10

Alpha, α = 0.05

First, we design the null and the alternate hypothesis

[tex]$H_0: \mu \geq 30$[/tex] miles per gallon

[tex]$H_A: \mu < 30$[/tex] miles per gallon

We use one-tailed t test to perform this hypothesis.

[tex]$t_{\text {stat }}=\frac{\bar{x}-\mu}{\frac{s}{\sqrt{n}}}$$[/tex]

Putting all the values, we have

[tex]$t_{\text {stat }}=\frac{26.4-30}{\frac{3.50}{\sqrt{10}}}=-3.25$$[/tex]

Now, [tex]$t_{\text {critical }}$[/tex] at 0.05 level of significance, 9 degree of freedom be -1.833.

Since, [tex]$$t_{\text {stat }} < t_{\text {critical }}$[/tex]

We reject and fail to accept the null hypothesis.

We come to the conclusion that the vehicle has a mileage rating below 30 miles per gallon.

b) The level of significance was estimated to be 0.05, or 5%.

The complete question is:

A car is advertised as having a gas mileage rating of at least 30 miles/gallon in highway driving. Suppose the miles per gallon obtained in 10 independent experiments are 26, 24, 20, 25, 27, 25, 28, 30, 26, 33.

(a) Test whether the claim of the advertisement is true at the 10 percent level of significance. Use the test statistic approach.

(b) What assumption have you made in part (a)?

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The graph that would represent the fuel efficiency of a car advertised as having 30 miles per gallon when driving on a highway is a straight line graph with a positive slope.

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If you would like to have $950,000 when you retire in 30 years.  

a. The amount deposited each quarter is  $9,348.97.

b. The Total amount is $284,969.64

c. The total interest is  $665,030.36

a) To find out how much you should deposit each quarter, you can use the formula for the future value of an annuity:

FV = PMT * (((1 + r)^n - 1) / r)

where:

FV = $950,000 (the future value you want to have)

PMT = the amount you deposit each quarter

r = 4.3% / 4 (the interest rate compounded quarterly)

n = 30 * 4 (the number of quarters until you retire)

Solving for PMT, we get:

PMT = FV / (((1 + r)^n - 1) / r)

PMT = $950,000 / (((1 + 0.043 / 4)^(30 * 4) - 1) / (0.043 / 4))

PMT = $9,348.97

b) Total amount

Total money = PMT * n

Total money = $9,348.97 * (30 * 4)

Total money = $284,969.64

c) Total interest earned

Total interest = FV - Total money

Total interest = $284,969.64 - $950,000

Total interest = $665,030.36

Therefore the amount deposited each quarter is  $9,348.97.

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