What is starting value?

Answer:

SOLUTION: A motorist takes 4 hours to travel 380 km,how long will he take to travel 570 km at the same average speed. where t is unknown time. = 6 hours. = 6 hours, the same answer.

Step-by-step explanation:

Answer: 1,33.5 m

Step-by-step explanation:

       We can set up a proportion to solve. I will have the length of the pole / tower on the top (numerator), and the length of the shadow on the bottom (denominator). All units will be in m.

       \(\frac{3}{1} =\frac{x}{44.5}\)

       Now, I will cross multiply and solve for x. This will give us the height of the tower.

       x * 1 = 3 * 44.5

       x = 133.5 m

The amount (present value at age 60) that Sandro would neet in his retirement savings account in order to have a monthly income of $1,500 until he is 90 years old, compounded at 4.5% monthly is $296,041.74.

The present value is computed using an online fiance calculator that discounts the future withdrawals (monthly income) for a 360-months period.

End of withdrawal period = 90 years old

Beginning of withdrawal period = 60 years old

The number of years between 60 and 90 = 30 years

N (# of periods) = 360 months (30 years x 12)

I/Y (Interest per year) = 4.5%

PMT (Periodic Payment) = $-1,500

FV (Future Value) = $0

Results:

Present Value (PV) = $296,041.74

Sum of all periodic payments = $540,000 ($1,500 x 360 months)

Total Interest = $243,958.26

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Answer

Measure the shape yourself and follow the explanation.

Step-by-step explanation:

Measure each side of the Triangles with your ruler. Record it.

For example,

I measured and got 3cm, 3.5cm, 3.5cm.

Multiply by scale factor r 2.

for example, 3cm × 2 = 6cm

3.5cm × 2 = 7.0cm

3.5cm × 2 = 7.0cm

Use your pencil to draw your new numbers to form the new Triangle.

As for the second shape, measure each four sides using ruler

for example, I measured and had 4cm, 6cm, 4cm, 6m.

Multiply by scale factor r 2.

for example, 4cm × 1/4 = 1 cm

6cm × 1/4 = 1.5cm

4cm × 1/4 = 1 cm

6cm × 1/4 = 1.5cm

Use your ruler to measure 1cm, 1.5cm, 1cm and 1.5cm, then to draw your new shape

The value of x is 7 and the measure of ∠1 is 99

The given parameters are:

The sum of angles in a triangle is 180.

So, we have:

5x + 19 + 8x - 11 + 11x + 4 = 180

Evaluate the like terms

24x = 168

Divide both sides by 24

x = 7

Hence, the value of x is 7

The angles on a straight line add up to 180.

This means that:

∠1 + ∠QNM = 180

Subtract ∠QNM from both sides

∠1 = 180 - ∠QNM

Substitute ∠QNM = 11x + 4

∠1 = 180 - 11x - 4

Substitute x = 7

∠1 = 180 - 11 * 7- 4

Evaluate

∠1 = 99

Hence, the measure of ∠1 is 99

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The surface area of the triangular prism that is shown above is calculated as: 63.25 square yards. .

The surface area of a triangular pyramid is calculated using the formula below:

SA = A + 3a

where we have:

A = the area of the triangular base of the pyramid

a = the area of one of the pyramid's faces.

Area of one of the pyramid's face (a) = 1/2 * base * height = 1/2 * 5 * 7

a = 17.5 square yards

Area of triangular base (A) = 1/2 * base * height = 1/2 * 5 * 4.3

A = 10.75 square yards

Surface area (SA) = 10.75 + 3(17.5) = 63.25 square yards.

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In general, the improvements that we can make refer to optimizations that can be applied in a context.

In a particular process or context, the best are optimizations that are done to make something more efficient or to improve the quality of an element.

For example, some improvements that we could make in our community are:

¡Hope this helped!

Answer:

+ 0.1

Step-by-step explanation:

So, first, we will add together -4.5 + 4.4, which equals -0.1. Then, we need to add the positive value of that to make it 0, so we add 0.1. I Hope This Helps :)

Answer:

The answer is 3

Step-by-step explanation:

4 x 3 = 12

8 + 12 = 20

Answer:

2.09, 2.59, 2.9

Step-by-step explanation:

Answer:

2.09, 2.59, 2.9

Step-by-step explanation:

hope this helps have a wonderful day

1) y = -3x and y = -3x + 2: inconsistent system of equations.

2) y = x - 5 and -2x + 2y = - 10: consistent and independent.

3) 2x - 5y = 10 and 3x + y = 15 : consistent and independent.

The given equation are:

The graph for each system of equations is plotted.

1) y = -3x and y = -3x + 2

From the graph 1 it is shown that the lines for the each equation form the parallel lines.

Thus, system of equations are inconsistent.

2) y = x - 5 and -2x + 2y = - 10

From the graph 2 it is shown that the lines for the each equation form the coincident lines.

Thus, system of equations are consistent and independent.

3) 2x - 5y = 10 and 3x + y = 15

From the graph 2 it is shown that the lines for the each equation form the coincident lines.

Thus, system of equations are consistent and independent.

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Yes, 7/56 and 6/48 are proportional because 7×48 = 56×6. Therefore, the correct answer is option B.

Given that, a truck needs 7 gallons of fuel to travel 56 miles.

The truck travel 48 miles with 6 gallons of fuel.

Here, the proportion is

7:56::6:48

We know that, the proportion is product of extremes = product of means

7×48 = 56×6

336 = 336

Therefore, the correct answer is option B.

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Answer: 12

Step-by-step explanation:

There are 108 inches in 9 feet and then you divide 108 by 9

The solution to the equation 4 |x + 7| + 8 = 32 is x = -1 and x = -13.So, the correct answer is: B. x = -1 and x = -13

To solve the equation 4 |x + 7| + 8 = 32, we can follow these steps:

1. Subtract 8 from both sides of the equation:

  4 |x + 7| = 24

2. Divide both sides by 4:

  |x + 7| = 6

Now we have two cases to consider, one for when x + 7 is positive and one for when x + 7 is negative.

Case 1: x + 7 ≥ 0

In this case, the absolute value simplifies to x + 7:

  x + 7 = 6

  Subtract 7 from both sides:

  x = -1

Case 2: x + 7 < 0

In this case, the absolute value simplifies to -(x + 7) since x + 7 is negative:

  -(x + 7) = 6

  Remove the negative sign:

  x + 7 = -6

  Subtract 7 from both sides:

  x = -13

Therefore, the solution to the equation 4 |x + 7| + 8 = 32 is x = -1 and x = -13.

So, the correct answer is:

B. x = -1 and x = -13

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Answer:

x = 30

F = 130

G =  50

Step-by-step explanation:

f and g are supplementary which means they add to 180

5x-20 + 3x - 40 = 180

Combine like terms

8x - 60 = 180

Add 60 to each side

8x-60+60 = 180+60

8x = 240

Divide by 8

8x/8 = 240/8

x = 30

F = 5x -20 = 5*30 -20 = 150 -20 = 130

G = 3x-40 = 3*30 -40 = 90-40 = 50

Answer:

Because a straight line = 180, we can find x like this :

(5x - 20) + (3x - 40) = 180

Step 1 - collect like terms

8x - 60 = 180

Step 2 - Move terms around to isolate x

8x = 180 + 60

Step 3 - Divide both sides by 8

x = 30

Now you can find the value of the angles by plugging in x

∠f = (5 x 30) - 20

     = 130 degrees

∠g = (3 x 30) - 40

      = 50 degrees

We can check to see if this works by adding them up

130 + 50 = 180, so this is correct

Hope this helps! I would really appreciate a brainliest if possible :)

The graph of the point is on the image at the end.

A coordinate plane has two axes, one is horizontal and the other is vertical.

A general point (x, y) has the value "x" in the horizontal axis and "y" in the vertical one, then to graph (-312, 434 ) in a coordinate plane, you need to find -312 in the horizontal axis and 434 in the vertical one.

The graph of the point is on the image at the end.

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Answer:

-3.5

Step-by-step explanation:

Or, x-2=-5.5

Or, x =-5.5+2

Or, x =-3.5

Answer:

\(b = \frac{1}{9}\)

Step-by-step explanation:

-9b + b = 2b - (b + 1)

Let's simplify by taking out the parenthesis.

-9b + b = 2b - b - 1

Now, we add like terms.

-8b = b - 1

Now, let's subtract b from both sides of the equal sign in order to isolate b.

-8b - b = b - 1 - b

Simplify!  

-9b = -1

Divide both sides by -9.

-9b ÷ b = -1 ÷ -9

Simplify.

\(b = \frac{1}{9}\)

Answer:

\(b = \frac{1}{9} \)

Step-by-step explanation:

\( - 9b + b = 2b - (b + 1) \)

Solve the brackets.

\( - 9b + b = 2b - b - 1\)

Combine like terms.

\( - 8b = b - 1\)

Take b to the left side.

\( - 8b - b = - 1\)

Combine like terms.

\( - 9b = - 1\)

Divide both sides by -9.

\( \frac{ - 9b}{ - 9} = \frac{ - 1}{ - 9} \\ b = \frac{1}{9} \)

Answer:

1.5 pounds

Step-by-step explanation:

$15=60 quarters

2.5x16 = 40 quarters per pound

60/40 = 1.5 pounds

9. The value of x is 7

10. In the figure  x = 10

11. The relationship is that their sum is 180 degrees

This relationship is known as the Same-Side Interior Angles Theorem.

12. The statement is true.

Supporting statement: If the two lines are parallel, then the alternate exterior angles created by the transversal line are equal

14 < 3 = 94 degrees

9. The value of x is solved using the knowledge of corresponding angles are equal

< A = < B

4x = 3x + 7

x = 7

10. In the figure < 3 and < 6 are alternate internal angles which is equal

7x - 10 = 5x + 10

7x - 5x = 10 + 10

2x = 20

x = 10

11. The relationship between the interior angles on the same side is that their sum is 180 degrees

This relationship is known as the Same-Side Interior Angles Theorem. It is a fundamental concept in geometry and is used to solve problems involving parallel lines and transversals.

12. The statement is true.

Supporting statement: If the two lines are parallel, then the alternate exterior angles created by the transversal line are equal

13. The measure of w is solved using the idea of vertical angels

w + 85 = 148

w = 148 - 85

w = 63

14. The mistake is that < 5 is not corresponding angle to < 2

The correct solution is < 3 = < 5 alternate internal angles

< 3 + 86 = 180 supplementary angles

< 3 = 180 - 86

< 3 = 94 degrees

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Answer:

8x-24

Step-by-step explanation:

First you do:

8×x which is 8x

Then you do:

8×-3 which is -24

Then you put it into 1 expression:

8x-24

Answer:

8−24

Thank You!

The length of side AB in right angled triangle ABC  will be 48 cm.

Every triangle with one 90° angle is said to have a right angle. The triangle with a right angle is known as a right triangle because a right angle is 90 degrees.The longest side of a right angle is known as the hypotenuse, and it is opposite the right angle.

Given,

∠B= 90°, AC = 96 cm, ∠C = 30°

Now, we know, Trignometric ratio sin θ in triangle can be given by-:

sin θ = \(\frac{perpendicular}{hypotenuse}\)

From given figure,

Perpendicular= AB= ?

and Hypotenuse= AC = 96

and θ= 30°

Hence,

sin 30° =\(\frac{perpendicular}{hypotenuse}\)= \(\frac{AB}{96}\)

\(\frac{1}{2} = \frac{AB}{96}\)                                      (∵ sin 30°= 1/2)

\(AB=\frac{96}{2}\)

\(AB= 48 cm\)

Thus, AB= 48 cm

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Correct Question:ABC is a right angled triangle. if B = 90°, AC = 96 cm, C = 30°. Find AB = ?

The most appropriate measure of center for the given dot plot is the median, which is 3. The interquartile range is 3, indicating 50% of the data lies between 1 and 4.

The given dot plot shows the number of televisions owned by the families in a neighborhood. There are different measures of central tendency and variation that can be used to describe the data set. The most appropriate measure of center for this data set is the median, which is the middle value when the data is arranged in ascending or descending order.
This is because the data is not normally distributed and there are outliers in the data set.
The median value is 3, which is the middle value when the data is arranged in ascending order. The median is a better measure of center for this data set because it is not affected by outliers, unlike the mean, which can be skewed by extreme values.
The appropriate measure of variation for this data set is the interquartile range (IQR). This is because the data set is not normally distributed and there are outliers present. The IQR is the range between the 25th and 75th percentile of the data set. The IQR is 3, which indicates that 50% of the data lies between 1 and 4.
In summary, the median value of televisions owned by families in the neighborhood is 3, which is a better measure of center because it is not affected by outliers. The interquartile range is 3, which indicates that 50% of the data lies between 1 and 4.

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The amount of dry ingredients used in the cake recipe is approximately 7 cups.

We have,

3 ½ cups of flour, 2 ⅔ cups of sugar, and 1 ¾ cups of cocoa.

Now, first convert all quantity in same unit.

3 ½ cups of flour

= 3 cups + 0.5 cups

= 3 cups and 8 ounces.

and, 2 ⅔ cups of sugar

= 2 cups + 0.67 cups,

= 2 cups and 10.72 ounces.

and, 1 ¾ cups of cocoa

=1 cup + 0.75 cups

= 1 cup and 12 ounces.

So, the total amount

= 3 cups and 8 ounces + 2 cups and 10.72 ounces + 1 cup and 12 ounces = 6 cups and 14.72 ounces

= 7 cups

Therefore, the amount of dry ingredients used in the cake recipe is approximately 7 cups.

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Answer:

The third option

Step-by-step explanation:

The equivalent form of the function showing the remainder as a fraction is: h(x) = (x - 6) + 4 / (x - 4)

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

The given function is:

h(x) = (x^2 - 2x - 4) / (x - 4)

To rewrite this function in an equivalent form showing the remainder as a fraction, we can use polynomial division.

Let's divide x^2 - 2x - 4 by x - 4:

           x - 6

   --------------------

x - 4 | x^2 - 2x - 4

      - (x^2 - 4x)

      -------------

            2x - 4

            - (2x - 8)

            ---------

                   4

Therefore, we can write:

h(x) = (x^2 - 2x - 4) / (x - 4) = (x - 6) + 4 / (x - 4)

Therefore,  the equivalent form of the function showing the remainder as a fraction is: h(x) = (x - 6) + 4 / (x - 4)

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The y-intercept is the point of (0,y) thus y-intercept of y = 2x + 1 is 1 and it is equal to the given graph of the function.

A graph is a diametrical representation of any function between the dependent and independent variables.

For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.

As per the given function,

y = 2x + 1

For y-intercept x = 0

y = 2(0) + 1 = 1

Thus, the y-intercept is 1.

In the graph, the line passes the y-axis at y = 1.

Hence "The y-intercept is the point of (0,y) thus y-intercept of y = 2x + 1 is 1 and it is equal to the given graph of the function".

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The given question missing the graph attached below ;

Answer: no one cares

Step-by-step explanation:

Ken will receive a total dividend payment of $75 for that quarter.

We have to given that,

Ken owns 500 shares of LaceNBrace, which makes hockey equipment.

And, He receives a notice stating the company will be paying $0.15 dividend per share.

Now, For the total dividend payment Ken receives for that quarter, we can multiply the dividend per share by the total number of shares he owns:

= $0.15 per share x 500 shares

= $75

Therefore, Ken will receive a total dividend payment of $75 for that quarter.

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With the help of probability we can say that, DUM={GG,BB,GB,BG).

Probability is the concept that describes the likelihood of an event occurring.

In real life, we frequently have to make predictions about how things will turn out.

We may be aware of the result of an occurrence or not.

When this occurs, we state that there is a possibility that the event will occur.

In general, probability has many excellent applications in games, commerce, and this newly growing area of artificial intelligence

The chance of an event can be calculated using the probability formula by only dividing the favourable number of possibilities by the total number of potential outcomes.

hence, DUM={GG,BB,GB,BG)

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