Cody decreased the speed of his car by 3.5 miles per second over the period of 60 seconds. find the average change in speed each second

Answer:

A = 364 m²

Step-by-step explanation:

the figure is has 2 pairs of parallel sides and is therefore a parallelogram.

the area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

here b = 26 and h = 14 , then

A = 26 × 14 = 364 m²

If the expression is [tex]log_{b}[/tex](b/x), then the expanded form of the expression looks like [tex]log_{b}b-log_{b}x[/tex].

Given that the expression is  [tex]log_{b}[/tex](b/x).

We are required to find the expanded form of the expression.

The change of base formula is basically used to re-write a logarithm operation as a fraction of logarithms with a new base.

We know that log (m/n)= log m- log n.

The expression  is [tex]log_{b}[/tex](b/x).

We have to first multiply b with the inside fraction.

[tex]log_{b}[/tex](b/x)=[tex]log_{b}b -log_{b}x[/tex]

Hence if the expression is [tex]log_{b}[/tex](b/x), then the expanded form of the expression looks like [tex]log_{b}b -log_{b}x[/tex]

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Answer:

The velocity of 13 feet per second into units is 3.9624 meter per second.

Step-by-step explanation:

It is given in the question that the velocity is 13 feet per second and we need to convert it into units.

Firstly, let us understand what is velocity;

When an item is moving, its velocity is the rate at which its direction is changing as seen from a certain point of view and as measured by a specific unit of time.

Now, let us understand the concept of speed;

Speed, which is a scalar number, is the speed at which an item is moving. Speed can be thought of as the rate at which an object covers distance. A fast-moving object has a high speed and covers a relatively large distance in a short amount of time. This is in contrast to an item travelling slowly, which travels a relatively little distance in the same length of time. Zero speed refers to an item that is not moving at all.

Furthermore, Speed is measured in meters per second. Exactly 3.6 kilometers per hour, or 2.237 miles per hour, equals one meter per second.

After convert the velocity of 13 feet per second into units we get;

=> 13 feet per second = 3.9624 meter per second

Therefore, the velocity of 13 feet per second into units is 3.9624 meter per second.

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The perimeter of the triangle will be the addition of all its sides.

It should be noted that the perimeter of a triangle is calculated by adding the values of all its sides

Die example, of the sides are 4cm, 7cm and 5cm. The perimeter of the triangle will be:

= 4cm + 7cm + 5cm

= 16cm

Based on the information given, it's important to add the equations together and equate them to 78 to get the value of AB.

Note that an overview was given as the question is incomplete.

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When 4 nightstands are sold the profit is $1800 since the number of nightstands sold is directly proportional to the profit.

The profit is defined as difference between the cost price and sell price for a product.

A directly proportional relationship means that if two variables x and y are proportional to one another then there exist a constant k such that x = y × k .

The graph of a directly proportional equations is a straight line passing through the origin.

Given that the profit is $900 for 2 sold nightstands, $3600 for 8 night stands and $4500 for 10 sold nightstands.

Now this relationship is directly proportional.

So the constant is given by k=900/2=4500/10=3600/8=450

Hence the profit for selling 4 night stands is 450 × 4 =$1800

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Length of segment 'cd' = 12 units

Given:-

'ol' is the mid-point of line segment 'cd'

'cl' = 13x + 8

'ld' = 23x - 4

We have to find the length of segment 'cd'.

Since the point 'ol' is the median to the segment cd then two expressions given 'cl' and 'ld' must add up to 'cd'.

'cd' = 'cl' + 'ld'

'cd' = (3x - 6) + (7x - 22)

'cd' = 10x - 28

- To determine the value of x we can also say that 'cl' and 'ld' must be equal because 'ol' is the common mid-point on the line segment 'cd'. So we can write:

'cl' = 'ld'

3x - 6 = 7x - 22

22  - 6 = 7x - 3x

       16 = 4x

        x = 4 units

- Now substitute the value of x in the expression developed for 'cd' as follows:

'cd' = 10x - 28

'cd' = 10 × 4 - 28

cd = 40 -28

'cd' = 12 units.

Therefore, the length of segment 'cd' is 12 units.

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Based on the angle addition postulate, the proof that shows that m<ABC = 26 degrees is explained below.

If two smaller angles are formed when a line segment bisects a larger angle, the sum of the measures of the two smaller angles would be equal to the measure of the larger angle, based on the angle addition postulate.

Statements                                     Reasons                                              

m<ABD = 52°                                 Given

BC bisects m<ABD                        Given

m<ABC = m<CBD                          Definition of bisector

m<ABC + m<CBD = m<ABD          Angle addition postulate

m<ABC + m<CBD = 52°                 Substitution property

m<ABC + m<ABC = 52°                 Substitution property

In conclusion, based on the angle addition postulate, the proof that shows that m<ABC = 26 degrees is stated above.

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If the expression is log a², then the expansion of this expression looks like 2 log a.

Given that the expression is log a².

We are required to find the expansion of the expression.

The change of base formula gives the way to re-write a logarithm operation as a fraction of logarithms with a new base.

We know that log [tex]a^{b}[/tex]=b log a.

The expression is log a². So,

log a²=2 log a   (Power of a will come in front of log)

Hence if the expression is log a², then the expansion of this expression looks like 2 log a.

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Yes. The Law of Detachment dictates that Catalina employ Speedy. The conclusion should come naturally if the hypothesis is correct.

According to the Law of Detachment, in order for our desires to manifest in the physical reality, we must dissociate ourselves from the outcome or result. For things to happen after we have done our part, we must learn to let go of the result. And when we do let go, things start to happen. They might not arrive in the manner we anticipated, but they do. Why is letting go so difficult? The most potent and difficult law is the Law of Detachment. The ability to accept things as they come, when they arrive, and in whatever form they take and to learn to be happy no matter what is closely tied to the law of detachment.

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Answer:

[tex]72cm[/tex]

watch the cm sign too

Step-by-step explanation:

[tex]area = s2[/tex]

I think you should find the square root in order to get the length of one side

[tex] \sqrt{64} [/tex]

answer is 8, then you multiply 8 by 9 to get the length of one side of the board

[tex]9 \times 8[/tex]

[tex] = 72cm[/tex]

that should be your final answer

Answer:
a= A∪B

b= A'

c= c

d= b

(II) 5= {2,3,4,5,6,7,8,9}

hope it helps!

Answer:10

Step-by-step explanation:

Answer:

A 36.

Step-by-step explanation:

If x is the number of boys then √x is the number of girls.

x + √x = 42

√x = 42 - x

Squaring both sides:

x = (42 - x)^2

1764 - 84x + x^2 - x = 0

x^2 - 85x + 1764 = 0

(x - 36)(x - 49) = 0

x =  number of boys = 49 or 36.

But the total number  = 42 so there must be 36 boys. Also √36 = 6 so the answer is 36 boys.

Naomi's burger shack sold a total of 484 hamburgers today .Then  121 cheeseburgers were sold and 363 hamburgers were sold

Naomi's burger shack sold a total of 484 hamburgers today.

three times as many hamburgers were sold without cheese as were sold with cheeseburgers

how many cheeseburgers were sold?

according to the question

Hamburgers (H) + cheeseburgers (C) = 484

C + H =  484

H = 3C

we can solve these equation

C+ 3C = 484

4 C= 484

C = 121

then we can find H by putting the value of C

H = 3* 121 = 363

So, 121 cheeseburgers were sold and 363 hamburgers were sold

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Answer: The question is not clear.

Step-by-step explanation:

Answer:

y = -1/2x +4

Step-by-step explanation:

First you need to get you're y-intercept form equation which is going to be : y = -1/2x + 7
How: x + 2y = 14
    -- Subtract x on both sides

x + 2y = 14

-x           -x

Then: 2y = -x +14
    -- Divide 2 on all parts
[tex]\frac{2y}{2} = -\frac{1x}{2} + \frac{14}{2}[/tex]

Equals: y = -1/2x + 7

Second find the slope which is : m = -1/2x

Third the formula for finding a parallel line to another is : y - y[tex]_{1}[/tex] = m(x - x[tex]_{1}[/tex])
The problem now would look like :
y - 0 = -1/2(x - -8)

   --Distribute the -1/2
y - 0 = -1/2x + 4
   --Add the 0 to 4
y = -1/2x +4

Hope this helps!
--Blu

According to the solving Mrs. Weatherford spends 15 percent of each weekday  25 hours and 20 minutes in her car.

A % is a relative figure that represents the hundredth part of any amount. One percent (symbolized 1%) is one hundredth part; consequently, 100 percent denotes the complete amount and 200 percent defines twice the supplied amount.

The most fundamental use of percentages is really to compare one number to another, with the second number rebased to 100. Assume we want to know the number among employed females as both a percentage of all employees.

Mrs. Weatherford drives 15% of the time during the week.

We know that:

1 week  = 7days

1day  = 24 hours

So 7 days  = 7 x 24

                  = 168 hours

Mrs. Weatherford drives 15% of the time during the week.

So,

(168/100) * 15

1.68 * 15

25.2 hours

According to the solving Mrs. Weatherford spends 25 hours and 20 minutes in her car.

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Answer:

P

Step-by-step explanation:

the fancy looking 'p' in the corner tells you what the plane is labeled

Using long division 2/3 is found to be 0.6667, the value is discontinued by approximating a 6 to 7

3 | 2 =

3 | 2 = 0.

3 | 20 = 0.

3 | 20 = 0.6        20 - 3 * 6 = 20 - 18 = 2

3 | 2 = 0.6

3 | 20 = 0.6

3 | 20 = 0.66      20 - 3 * 6 = 20 - 18 = 2

3 | 2 = 0.66

3 | 20 = 0.66

3 | 20 = 0.666      20 - 3 * 6 = 20 - 18 = 2

The procedure continues unending to get 0.666666666.........

Hence we say that 2/3 = 0.6666...≅ 0.6667

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Answer:

The flow rate of dopamine per hour is 15 mg and the duration is 9.3 hours.

Step-by-step explanation:

It is given that A solution consisting of 70 mg of dopamine in 70 mL of solution is administered at a rate of 15 mL/hr.

A solution consisting of 182 mg of dopamine in 26 mL of solution is administered at a rate of 10 ​mL/hr.

Now, Let's calculate the flow rate of dopamine per hour;

=> Flow rate of dopamine per hour = (70 × 15)/70

=> Flow rate of dopamine per hour = 1050/70

=> Flow rate of dopamine per hour = 15 mg

Further, let's calculate how much the solution should last for a patient that is prescribed to receive 140 mg of dopamine;

=> Prescription = 140 mg

=> Flow rate of dopamine per hour = 15 mg

=> Duration = Prescription/Flow rate of dopamine per hour

=> Duration = 140/15

=> Duration = 9.3 hours

Therefore, the flow rate of dopamine per hour is 15 mg and the duration is 9.3 hours.

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It is true that the expression √3 + 5  cannot be simplified

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

√3 + 5

The above expression is a combination of a radical expression and an integer

The radical expression √3 cannot be simplified

This means that the expression √3 + 5 cannot be simplified

Hence, the expression √3 + 5  cannot be simplified

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y = 2 + 0.0357x shows the relationship between the height of the lemons and days, it will take 16 weeks for the lemon tree to reach 6ft.

Day 0 the plant is 2ft

Every 7 days the plants increase by 3 inches

Recall that, 1 inch = 0.0833 feet

Therfore  3 inches = 3 × 0.0833 = 0.2499ft

The plant increases in  by 0.2499/7 daily

0.25/7 = 0.0357

Let x be the days and the y be plant height, the plant height and the number of days can be related by

y = 2 + 0.0357x

Days (x)

0

7

14

21

24

height (y)

2

2.25

2.50

2.75

3.00

b) when the tree will by 6ft, y = 6ft

      y = 2 + 0.0357x

      6 = 2 + 0.0357x

Collect like terms

6-2 = 0.037x

4 = 0.0357x

x = 4/0.0357

x = 112.04 days

x = 112 days

Converting it to weeks 112/7 = 16 weeks, it will take 16 weeks for the plant to grow to 6ft.

The growth of the plant is linear.

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Answer:

6 (r + 9)

Step-by-step explanation:

6 times the sum of r and 9 means 6 (r + 9)

The mass of the population of bacteria after 30 hours is 9.6×10⁻⁴ grams in expressions.

What does a math expression mean?

Mass of 1 bacterium =2×10-¹². Then the mass after 30 hours will be calculated as below:-

Mass of 480,000,000 bacteria = 2×10-¹²×480,000,000

Mass of 480,000,000 bacteria =0.00096

Mass of 480,000,000 bacteria =9.6×10⁻⁴

Therefore, the mass of the population of bacteria after 30 hours is 9.6×10⁻⁴ grams.

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Answer:

Juan and his sister ate 7/12 of the pizza.

Step-by-step explanation:

1/3 + 1/4

(Multiply 1/3 by 4 and 1/4 by 3)

4/12 + 3/12

(Add)

Answer: 7/12

Answer:

Step-by-step explanation:

Answer:

sara has to spend at the farmers market

Step-by-step explanation:

Applying the product rule for exponent numbers, 2⁴ . 2⁵ = 2⁴⁺⁵ = 2⁹

Recall the rules of exponent operations:

Note that the first 3 rules use the same base. If there are more than 1 base number, then group the exponent that have the same base first.

Example:

[tex](2^{3}.3^{-2}) : (2^{-3}.3^{2})=( 2^{3}:2^{-3}).(3^{-2}:.3^{2})[/tex]

Tips: To simplify exponent numbers, sometimes it is useful to modify the base whenever possible.

Example:

8².2⁻⁵ = (2³)². 2⁻⁵ = 2⁶. 2⁻⁵ = 2⁶⁻⁵ = 2¹ = 2

The given problem:

Simplify  (2⁴) (2⁵)

Use the product rule:

2⁴ . 2⁵ = 2⁴⁺⁵ = 2⁹

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Answer: We have 4.5 and 7 as intercept on y-axis

Step-by-step explanation: this is just what my teacher has told my class

Answer:

Step-by-step explanation:

The equation is written in slope-intercept form, y=mx+b.

In slope-intercept form, the slope, m, is always the number before x.

Therefore the slope is 4.5.

[tex]\Large\overbrace{\underbrace{\boldsymbol{\rm{Reflection - RoSe}}}}^\star_\star[/tex]

Answer:

-5

Step-by-step explanation:

2-(+7)

since the negetive is in front of the parenthesis the 7 turns into a negative

2-7

Seven is greater than two which means that the number will be in the negative section

-5

Answer:

calculate the area of the triangle first.

12×7.5= your answer

Answer:

12×7.5= your answer

Step-by-step explanation:

Answer:

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