A. 0.75s+0.4t=980

B. 0.75s-0.4t=980

C. 0.75s+0.04t=980

D. 0.75s-0.04t=980

Answer:

I need one more brainliest!!!

Step-by-step explanation:

6.14-(9+8)2

6.14-17(2)

6.14-34=

-27.86

Hope this helped!

The required simplified value of the 6.14-(9+8)2 is -27.86.

Given that,
An expression  is given, 6.14-(9+8)2
A simplified value is to be determined.

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.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
= 6.14-(9+8)2
Using the PEMDAS rule,
Using distributive property in order to solve the parenthesis first.
= 6.14 - 17 * 2
Following PEMDAS solve 17 * 2 first.
= 6.14 - 34
Now, subtraction
= -27.86

Thus, the required simplified value of the 6.14-(9+8)2 is -27.86.

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Answer:

x=1   y=6

Step-by-step explanation:

???

The number she'd have is:

Explanation:

First, let's see which number is in the tens place and which number is in the ones place (the units place).

In the number 548, the place value of 5 is hundreds, the place value of 4 is tens, and the place value of 8 is ones (or units).

So if Sera adds two to the units, she'll have 10. But, since we can't write the number as 5410 (that would be a totally different number), we just write 0 in the units place, and shift 1 to the tens place, which gives us :

550

That's not all, since we also add 1 to the tens:

560

Answer:

10 since its the longest part of the triangle ig

Step-by-step explanation:

Answer: 10 centimeters

Step-by-step explanation:

Because it's longer than both the other sides so it has to be 10.

The 70 meters by 50 meters rectangular field having a path with an area of 104 m² around it indicates that the width of the path, found using the quadratic formula is about 0.43 meters.

The quadratic formula is a formula that is used to find the values of x that are the solutions to the the the quadratic equation of the form, a·x² + b·x + c = 0.

The length of the rectangular field = 70 meters

The width of the rectangular field = 50 meters

The width of the path around the field = Uniform width

Area of the path around the field = 104 m²

Let x represent the width of the path, we get;

(70 + 2·x) × (50 + 2·x) - 70 × 50 = 104

4·x² + 240·x = 104

4·x² + 240·x - 104 = 0

The quadratic formula which can be used to find the value of x in the equation a·x² + b·x + c = 0, is presented as follows;

\(x = \dfrac{-b\pm \sqrt{b^2-4\cdot a \cdot c} }{2\cdot a}\)

Comparing the equation 4·x² + 240·x - 104 = 0 to the quadratic equation for the quadratic formula; a·x² + b·x + c = 0, we get;

a = 4, b = 240, c = -104

Therefore;

\(x = \dfrac{-240\pm \sqrt{240^2-4\times 4 \times (-104)} }{2\times 4}\)

x ≈ 0.430 or x ≈ -60.4

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Answer:

\(y = - \frac{3}{2} x - 17\)

Step-by-step explanation:

\( - 5 = - \frac{3}{2} ( - 8) + b\)

\( - 5 = 12 + b\)

\(b = - 17\)

\(y = - \frac{3}{2} x - 17\)

Answer:

-7-63a

Step-by-step explanation:

-7(1 + 9a)

(use the distributive property of multiplication to simplify)

-7-63a

Part A: Grocery Store: unit price = $1.65 (Tomatoes)

Farmer's Market: unit price  = $1.75

Part B: Grocery Store offers a better deal because the unit price is less.

Unit price is defined as the price for one of something. For example, if 10 oranges cost $50, the unit price will be $50/10 = $5 i.e.  $5 for one orange.

PART A:

Let's choose tomatoes

Grocery Store

8 tomatoes for $13.20

Unit price = $13.20/8 = $1.65

10 tomatoes for $17.50

Unit price = $17.50/10 = $1.75

Part B:

The location that offers a better deal is Grocery Store. This is because the unit price is less.

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The x-intercepts of the graph of f(x) are x = 3/2 and x = 1,the Vertex of the graph of f(x) is (5/4, 3/8), and it is a minimum point, The vertex is at (5/4, 3/8). This is the minimum point of the graph.

Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x.

2x^2 - 5x + 3 = 0

To factor this quadratic equation, we look for two numbers that multiply to give 3 (the coefficient of the constant term) and add up to -5 (the coefficient of the linear term). These numbers are -3 and -1.

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

x(2x - 3) - 1(2x - 3) = 0

(2x - 3)(x - 1) = 0

Setting each factor equal to zero, we get:

2x - 3 = 0   -->   x = 3/2

x - 1 = 0   -->   x = 1

Therefore, the x-intercepts of the graph of f(x) are x = 3/2 and x = 1.

Part B: To determine whether the vertex of the graph of f(x) is a maximum or a minimum, we look at the coefficient of the x^2 term, which is positive (2 in this case). A positive coefficient indicates that the parabola opens upwards, so the vertex will be a minimum.

To find the coordinates of the vertex, we can use the formula x = -b/2a. In the equation f(x) = 2x^2 - 5x + 3, the coefficient of the x term is -5, and the coefficient of the x^2 term is 2.

x = -(-5) / (2*2) = 5/4

Substituting this value of x back into the equation, we can find the y-coordinate:

f(5/4) = 2(5/4)^2 - 5(5/4) + 3 = 25/8 - 25/4 + 3 = 3/8

Therefore, the vertex of the graph of f(x) is (5/4, 3/8), and it is a minimum point.

Part C: To graph f(x), we can use the information obtained in Part A and Part B.

- The x-intercepts are x = 3/2 and x = 1. These are the points where the graph intersects the x-axis.

- The vertex is at (5/4, 3/8). This is the minimum point of the graph.

We can plot these points on a coordinate plane and draw a smooth curve passing through the x-intercepts and the vertex. Since the coefficient of the x^2 term is positive, the parabola opens upwards, and the graph will be concave up.

Additionally, we can consider the symmetry of the graph. Since the coefficient of the linear term is -5, the line of symmetry is given by x = -(-5) / (2*2) = 5/4, which is the x-coordinate of the vertex. The graph will be symmetric with respect to this line.

By connecting the plotted points and sketching the curve smoothly, we can accurately graph the function f(x).

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Answer:

The percentage of 18 people out of 50 is 36 %

Step-by-step explanation:

The percentage refers to the per hundred or hundredths and is ended with the symbol %.  By dividing two amounts, ratios and percentages are both used to compare the two amounts.

so,

Therefore the percentage of 18 people out of 50 people is 36 %.

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Answer:

x=48

Step-by-step explanation:

Since these angles are supplementary, they add up to 180. so, you can set the equation x+23+x+61=81. Simplify the equation and solve for x

Answer:

#1 is x+23°=23

#2 is x+61°=61

Step-by-step explanation:

Because when you are adding it will always be a positive number

But when you are subtracting it will always be a negative number

The similar triangles for this problem are given as follows:

RST and VUT.

Then the measure VT is given as follows:

VT = 5.4 units.

Similar triangles are triangles that share these two features listed as follows:

Hence the similar triangles for this problem are given as follows:

RST and VUT.

The proportional relationship for the side lengths is given as follows:

6/14 = (x + 2)/(4x - 1).

Applying cross multiplication, the value of x is obtained as follows:

14(x + 2) = 6(4x - 1)

14x + 28 = 24x - 6

10x = 3.4

x = 3.4.

Then the length VT is given as follows:

VT = 3.4 + 2

VT = 5.4 units.

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Answer:

9(5 - y)

Step-by-step explanation:

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Required answer:

9(5 - y)

Detailed explanation:

If we have the difference of two numbers, then we're subtracting these numbers. In this case, the numbers are 5 and y:

\(\sf{5-y}\)

Next, we multiply 9 times the difference, so we put 5 - y in parentheses:

\(\sf{9(5-y)}\)

\(\hrulefill\)

Have a wonderful day!

Answer:

ILOVEMYCOUNTRY!!!

Step-by-step explanation:

F........U.......C.......K.....YOU.....BRO.......USE UR BRAINS !!!!

is this the whole question because there's nothing to find?

The total distance covered is 15000 m. The total time taken is 5220 seconds and the speed is 2.87 m/s.

We know that speed has to do with the ratio of the distance that has been covered to the time taken. The speed is a scalar quantity and as such we do not consider the direction hence we would not consider that going back in the opposite direction. The total distance can be obtained algebraically.

The total distance that the student travelled can be obtained from;

5000 m + 5000 m + 5000 m

= 15000 m

The total time taken in seconds = 1800 seconds + 1800 seconds + 1620 seconds

= 5220 second

Speed = Distance/ Time

= 15000 m/5220 second

= 2.87 m/s

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Answer:

Step-by-step explanation:

The question is incomplete and lacks the required diagram. Find the diagram attached. Here is also the complete question.

"The formula for the area of a parallelogram is A = bh, where b is the base and h is the height. Which simplified expression represents the area of the parallelogram? –4x3 + 14x – 24 square centimeters 2x3 – 6x2 – 14x + 24 square centimeters –4x3 – 14x + 24 square centimeters 2x3 + 6x2 + 14x + 24 square centimeters"

Area of a parallelogram = Base * Height.

Given the height of the parallelogram = (x-4)cm

Base = (2x² + 2x-6) cm

Area of the parallelogram =  (x-4)cm *  (2x² + 2x-6) cm

Area of the parallelogram = (x-4)(2x²+2x-6)

Area of the parallelogram = 2x³+2x²-6x-8x²-8x+24

= 2x³+2x²-8x²-6x-8x+24

=  (2x³-6x²-14x+24)cm²

The surface area of the cylindrical pottery vase is 177.55 in².

Given that a cylindrical pottery vase has a diameter of 4.3 inches and a height of 11 inches, we need to find the surface area of the vase,

SA of a cylinder = 2π×radius(h+r)

= 2×3.14×2.15(2.15+11)

= 177.55 in²

Hence, the surface area of the cylindrical pottery vase is 177.55 in².

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The linear equation that passes through (-1, 8) and (5,-2) is:

y = (5/3)*x + 29/3

A general linear equation in the slope-intercept form is:

y = a*x + b

Where a is the slope, and b is the y-intercept.

If we know that this line passes trhough the points (-1, 8) and (5, -2) then we can write the slope as:

a = (-2 - 8)/(5 + 1) = -10/6 = 5/3

Then we can write:

y = (5/3)*x + b

Now to find the value of b we can replace the values of one of the points in the line, if we use (-1, 8) we will get:

8 = (5/3)*-1 + b

8 + 5/3 = b

24/3+  5/3 = b

29/3 = b

We conclude that the linear equation is:

y = (5/3)*x + 29/3

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1. 76.56.

2. 96

3. The largest solution to the equation x²+16x+28=138 is 6.71.

4. The smallest solution to the equation x²+14x+14=145 is 5.96.

Equations are used to express relationships between variables and solve mathematical problems.

1. This is calculated by taking the coefficient of x (19) and dividing it by two (19/2) and then squaring the result (19/2)² = 76.56.

2. This is calculated by taking the coefficient of x (30) and dividing it by two (30/2) and then squaring the result (30/2)² = 96.

3. This is calculated by using the quadratic formula, by taking the opposite of the coefficient of x (16) plus or minus the square root of the coefficient of x squared (16²) minus 4 times the coefficient of the x term (4x16) minus the constant (28) divided by 2 times the coefficient of the x term (2x16).

4.  This is calculated by using the quadratic formula, by taking the opposite of the coefficient of x (14) plus or minus the square root of the coefficient of x squared (14²) minus 4 times the coefficient of the x term (4x14) minus the constant (14) divided by 2 times the coefficient of the x term (2x14).

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1.  For the given equation, c need to be 90.25 to complete the square.

2. 225

3. The largest solution to the equation x²+16x+28=138 is 6.

4. The smallest solution to the equation x²+14x+14=145 is -14.

Equations are used to express relationships between variables and solve mathematical problems.

1. This is calculated by taking the coefficient of x (19) and dividing it by two (19/2) and then squaring the result

(19/2)² = 90.25.

2. This is calculated by taking the coefficient of x (30) and dividing it by two which is (30/2) and then squaring the result

(30/2)² = 225.

3. The largest solution to the equation x²+16x+28=138 is 6.

This can be calculated by using the quadratic formula to solve the equation.

(a=1, b=16, c=28)

x = -8 ± √((16)² - 4(1)(28))/2(1).

x = -8 ± √(240)/2

x = 6 or -14.

Since 6 is the larger solution, it is the largest solution to the equation.

4.  The smallest solution for x2+14x+14=145 can be determined by using the Quadratic Formula.

a=1, b=14, and c=14

x = [-14 ± √(142-4(1)(14))]/(2(1))

x = [-14 ± √(196)]/2

x = [-28/2] or [14/2]

x = -14 or 7

Therefore, the smallest solution for x2+14x+14=145 is x=-14.

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Answer:

x+y=11

Step-by-step explanation:

take the square root of both sides.

(x-7) + (y+3) = 7

collect like terms

x+y = 7+7-3

Answer:

x² + y² - 14x + 6y + 9 = 0

Step-by-step explanation:

the equation of a circle in general form is

x² + y² + 2gx + 2fy + c = 0

given

(x - 7)² + (y + 3)² = 49 ← expand factors using FOIL

x² - 14x + 49 + y² + 6y + 9 = 49 , that is

x² + y² - 14x + 6y + 58 = 49 ( subtract 49 from both sides )

x² + y²- 14x + 6y + 9 = 0 ← in general form

Answer:

5 ≤ L ≤ 35

Step-by-step explanation:

Let w represent the width of the rectangle.

The perimeter (P) of the rectangle is given by:

P = 2w + 2L

Where L is the length of the rectangle.

We know that w = 30 cm and that the perimeter is between 100 and 160 cm. We can now set up our compound inequality:

100 ≤ 2(30) + 2L ≤ 160

100 ≤ 90 + 2L ≤ 160

10 ≤ 2L ≤ 70

We can now divide both sides by 2 to solve for L:

5 ≤ L ≤ 35

Therefore, the compound inequality that represents the graph of a rectangle with a width of 30 centimeters and a perimeter of 100 centimeters to 160 centimeters is:  5 ≤ L ≤ 35

Answer:

488

Step-by-step explanation:

You divide 28453 by 58.3053278689 and get 488.

Answer:

The rates are not equivalent since Maria saves $0.50 more per month than Ralph.

Step-by-step explanation:

We can determine if two rates are equivalent by comparing the rates at which they save per month.

Maria's savings per month:

Both 50 and 4 can be divided by 2, which gives us 25/2.  As a regular number, this becomes 12.5/1 which means Maria saves $12.5 per month.

Ralph's savings per month:

Both 60 and 5 can be divided by 5, which gives us 12.  Thus, Ralph saves $12 per month.

Thus, the rates are not equivalent as Maria saves $0.50 more per month than Ralph.

It will take 5.189 hours to get doubled the size of Sample.

A relation of the form y = \(a^x\), with the independent variable x ranging over the entire real number line as the exponent of a positive number a.

Given:

Growth rate = 5.8%

The continuous exponential growth model for populations is given by:

P(t)= \(P_0 e^{rt\)

So, r= 5.8%

r = 0.058

Now, the time taken to double the sample then P(t) = 2P(0).

So, P(t)= \(P_0 e^{0.058t\)

2P(0) = \(P_0 e^{0.058t\)

\(e^{0.058t\) = 2

Taking log on both side

log \(e^{0.058t\) = log 2

0.058 t = 0.301

t= 0.301/ 0.058

t = 5.189

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Answer:

the ratio is 6:11

Step-by-step explanation:

The piecewise function graphed is defined as follows:

A piecewise function is a function that has multiple definitions, depending on the input x of the function.

The function in this problem has definitions for two intervals, given as follows:

For x < -5, the function is decreasing with a slope of -2, as when x increases by 1, y decays by 2, hence:

y = -2x + b.

When x = -6, y = 0, hence the intercept b is given as follows:

0 = -2(-6) + b

b = -12.

Hence:

y = -2x - 12, x < -5.

For x > 3, the function is decreasing with a slope of -1, as when x increases by 1, y decays by 1, hence:

y = -x + b.

When x = 5, y = 0, hence the intercept b is given as follows:

0 = -5 + b

b = 5.

Hence:

y = -x + 5, x > 3.

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The probability of a prime number or a number greater than 3 coming up is given as follows:

5/6.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

When a dice is thrown, there are six possible outcomes, ranging from 1 to 6, and the desired outcomes are given as follows:

Hence the probability is given as follows:

5/6.

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