If the square root of 16 = x, then x2 =

Answer:

the answer is false

Step-by-step explanation:

comment if you want explanation

Answer:

True

Step-by-step explanation:

When using the formulas to find the surface area, both have equal surface area

Answer:

B-100 If the price of tacos is $1.75, th consumers will buy 100 tacos

Answer:

100.48

Step-by-step explanation:

2 x 16 x 3.14 = 100.48

The option that is not a part of a formal proof is E.  none of these

A formal proof or derivation can be described as a finite sequence of sentences, having an axiom, an assumption, or leads the way from the preceding sentences in the sequence by a rule of inference.

It demonstrates the logical necessity of a given conclusion.

The different parts of a formal proof includes;

Hence, the correct option is E

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The value of x is; x = 3.14

Here, we have,

from the given diagram, we get,

there is a right angle triangle.

we have to find the value of x.

we know that,

Let the angle be θ , such that

cos θ = base / hypotenuse

here, we get,

cos 17 = 3/x

so, we have,

0.956 = 3/x

so, x = 3.14

Hence, The value of x is;x = 3.14

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When applying the some rule, we only combine two equal ratios at once. Consequently, we deal with pairs of sides and angles that have equivalent ratios.

When two ratios are equal, a percentage is formed; alternatively, two equal ratios can be said to produce a proportion. When we understand that two ratios are equal, you can write a proportion. The ratios of these two numbers are equal.

When two variables are correlated in a manner that their ratios are equal, this is known as a proportional relationship. In a proportional connection, one variable is always a constant value multiplied by the other, which is another way to think of them. The "constant of proportionality" is the term used to describe that constant. Two angles are said to be complimentary if their sum is 90 degrees. Alternatively put, two angles are said to be complimentary if they combine to make a right angle.

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The number of strides the runner will make during 1 hour run will be =

10,800.

To calculate the distance or number of strides made by the runner in an

hour, the graph given above is considered as follows;

The y-axis which represents the number of strides is plotted against the x-axis which is the number of hours.

From the graph

20 minutes= 3600 strides

60 minutes = X strides

make X the subject of formula;

x= 3600×60/20

= 216000/20

= 10,800

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2.888...

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

Answer:

2.8

Step-by-step explanation:

26 divided b 9 is equivalent to 2.88

Answer: work is done in stretching it from 5.0in. to a length of 12.8in is 36 lb.In

Step-by-step explanation:

We know that

f(x) = kx

given that;

Natural length L = 5

x = 8.4 - 5 = 3.4

force F = 4.0 lb

f(x) = kx

we substitute

4 = k × 3.4

k = 4 / 3.4

k = 1.1764 = 20/17

Now work done from natural length to 12.8

x = 12.8 - 5 = 7.8

work done = ₀∫^7.8  f(x) dx

= ₀∫^7.8  kx dx

we substitute value of k

= ₀∫^7.8  (20/17)x dx

= 20/17 [ x²/2 ]

= 20/17 [ (7.8)²/2 - 0 ]

= 1.1764 × 30.42

= 35.786 ≈ 36 lb.In

Therefore work is done in stretching it from 5.0in. to a length of 12.8in is 36 lb.In

Answer: To calculate the average cost per widget, we need to consider both the fixed costs and the variable costs.

Fixed costs: $34,000

Variable costs per widget: $5.00

Total costs = Fixed costs + (Variable costs per widget × Number of widgets)

Total costs = $34,000 + ($5.00 × 7,000)

Total costs = $34,000 + $35,000

Total costs = $69,000

Average cost per widget = Total costs / Number of widgets

Average cost per widget = $69,000 / 7,000

Average cost per widget ≈ $9.86

Therefore, the average cost per widget of producing 7,000 Wild Widgets is approximately $9.86.

Step-by-step explanation: :)

The area of land is 2.694 Km².

As per the above data given,

We need to find out the area of the land in the given figure.

According to given question,

it is stated that:

quadrilateral shaped piece of land with some measurements that is given in the figure.

BD²= AB²+ AD²-2AB. AD. cosA    

(LAW OF COSINES-The law of cosines generalizes the Pythagorean theorem, which holds only for right triangles:c²= a² + b² − 2ab cos(C))

So, BD= 2.499kM.

\(\frac{BD}{sinc} = \frac{BC}{sin BDC}= \frac{CD}{ sinDBC}\)

∠C=180°-47°-51°=82°

(Law of sines- In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles. a/sin A =  b/sin B=  c/sin C )

So, BC= 2.499/sin82°*sin47°= 1.846 Km

Now, further solving we get:

δΔABD= 1/2 AB.AD.sinA= 0.901

So, δΔBCD=1/2 BD.BC.sin ∠DBC= 1.793

so, δ= δ∠ABD+δ∠BCD= 2.694 Km²

Therefore, the area of land is 2.694 Km².

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Answer:

( 5, 7),  ( 5, 7), Yes M is the center

Step-by-step explanation:

It could help you under stand this by drawing it out on paper.  I can't draw it here.  You just need to visualize a circle with points A and B on the outside portion of the circle.  Then there is point M inside the circle.  You are trying to figure out if M is in the center or not.

Look at the coordinates for all 3 and find the distance from A to M and then B to M.  Count the total distance of the x values and the y values keeping in mind that positive Y numbers are above the x axis and negatives are below.  And, negative numbers for X are to the left of the y axis and positive is to the right.

From A ( -1, -9) to M ( -6, -2).  Look at the x values.  You are going from -1 to -6 which is a total of 5 points.  Now look at y values.  You are going from -9 to -2 which is a total of 7 points.  So the distance in coordinates is ( 5, 7)

From B ( - 11, 5) to M ( -6, -2).  Again look at x values. You're going from -11 to -6 which is 5 points.  Looking at the y values, you are going from 5 to -2.  This is 5 above the x axis going down to a -2 which is below the x axis.  So the total is 7 points.  The distance of these two is also ( 5, 7 ) which is the same as the other distance.

Therefore, you can state correctly that M is the center of the circle.

According to the provided statement, the battery is at 75% after 1.25 hours and at 40% after 3 hours.

Percentages are just fractions with a denominator of 100.We place the percentage symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).

A. How long does it take for the battery to reach 75% capacity?

To determine x, we must change y to equal 0.75 (75%) in the equation (number of hours)

y= -0.2x+1

0.75= -0.2x+1

0.75+0.2x=1

0.2x=1-0.75

x= 0.25/0.2

x=1.25

B. What is the percentage of battery power remaining at 3 hours?​

To determine y, we must change x = 3 hours in the equation (remaining battery power)

y= -0.2x+1

y= -0.2(3) +1

y= -0.6+1

y= 0.4

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Step-by-step explanation:

x-a

Solution

For this case we can do the following:

Part a

4$ /10 = 0.40 $/ pound

Part b

15pages/9 minutes=1.67 pages/min

Answer:

Multiply left side by 2

2CO2 (g) + 2H2O (l) =2H2CO3

The joint relative Frequency of students who do not like to run and enjoy swimming, based on the given two-way frequency table, is approximately 62.16%.

The joint relative frequency of students who do not like to run and enjoy swimming, we need to find the intersection of the row and column corresponding to those categories in the two-way frequency table.

Given the following information from the table:

Likes running: 28

Does not like running: 46

Column totals: 74

Enjoys swimming: 62

Enjoys cycling: 90

Row totals: 110

The joint relative frequency, we divide the number of students who do not like running and enjoy swimming by the total number of students:

Joint relative frequency = (Number of students who do not like running and enjoy swimming) / (Total number of students)

From the table, the number of students who do not like running and enjoy swimming is given as 46.

Total number of students is given as 74.

Joint relative frequency = 46 / 74

Calculating this value, we find that the joint relative frequency is approximately 0.6216, which is equivalent to 62.16%.

Therefore, the joint relative frequency of students who do not like to run and enjoy swimming is approximately 62.16%.

In conclusion, the joint relative frequency of students who do not like to run and enjoy swimming, based on the given two-way frequency table, is approximately 62.16%.

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Answer:

10.2% chance

Step-by-step explanation:

There are 12 peaches and 8 bananas for a total of 20 pieces of fruit.

So we can write it:

\(\frac{12}{20} * \frac{11}{19} * \frac{10}{18} * \frac{9}{17}\) =  \(\frac{11880}{116,280}\) = .102 or 10.2% chance

For ease multiply all numerators (top numbers) together, then multiply the denominators (bottom numbers) together, and then divide.

12 * 11 * 10 * 9 = 11880

20 * 19 * 18 * 17 = 116,280

We start with 12 peaches and 20 total fruit, as we select a peach the number of peaches and total fruit goes down by one. We do this 4 times because you draw 4 fruits. If you select 1 fruit your chances of it being a peach are 12/20, each time you select a fruit the chances of it being a peach go down because you have 1 less total fruit, and 1 less peach. This is why you multiply each probability together.

Answer:

10.2% probability

Step-by-step explanation:

12 peaches

8 bananas

Chance of getting a peach the first time is 12/20 the second time is 11/19, third 10/18, and fourth 9/17

11880/116280 = .1022 = 10.2% probability

The average rate of change over is 1.

Given that;

the function is,

⇒ g (t) = - (t - 1)² + 5

Hence, We need to determine the average rate of change over the interval - 4 ≤ t ≤ 5.

The value of G(-4):

The value of G(-4) can be determined by substituting t = -4 in the function

⇒ g (t) = - (t - 1)² + 5

Thus, we have,

⇒ g (t) = - (-4 - 1)² + 5

⇒ g (t) = - 20

Thus, the value of G(-4) = -20

The value of G(5):

The value of G(5) can be determined by substituting t = 5 in the function , we get,

⇒ g (t) = - (t - 1)² + 5

⇒ g (t) = - (5 - 1)² + 5

⇒ g (t) = - 11

Thus, the value of G(5) is, -11

Now, Average rate of change:

The average rate of change can be determined using the formula,

⇒ G(b) - G (a) / (b - a)

where, a = - 4 and b = 5

Substituting the values, we get,

⇒ G(5) - G (-4) / (5 - (-4))

⇒ ( - 11 - (- 20)) / 9

⇒ 9/9

⇒ 1

Thus, the average rate of change over the interval is. 1.

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Answer:

Step-by-step explanation:

You need to determine the conjugate of the denominator.

√17 - √2 has conjugate of √17 + √2, when multiplied the product is going to be a rational number:

Therefore correct choice is B or second from the top:

Answer:

B

Step-by-step explanation:

Because trust is a good thing in this world

The coordinates of the image using the rule R(180, 0)(-1, 3) is (1, -3)

A 180 degrees rotation denoted by R(180, 0) is a rotation that has the same effect as the 180 degrees counterclockwise of a figure.

And it has the algebraic rule of its rotation to be changed from (x, y) to (-x, -y) i.e.  (x, y) => (-x, -y)

The coordinate of the point is given as

(-1, 3)

The rotation is given as R(180, 0)

As mentioned above,

The 180 degrees rotation has the algebraic rule of its rotation to be changed from (x, y) to (-x, -y) i.e.  (x, y) => (-x, -y)

So, we have

(x, y) => (-x, -y)

Substitute (-1, 3) in (x, y) => (-x, -y)

So, we have

(-1, 3) => (1, -3)

Hence, the coordinates after the 180 degrees rotation is (1, -3)

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Solution

The final answer

Answer:

Y = 5/2x - 22

Step-by-step explanation:

The equation of the line with slope 5/2 through the point (8, -2) in slope intercept will be y = (5/2)x – 22.

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

The slope is 5/2, then the equation will be

y = (5/2) x + c

The equation of line passing through (8, -2).

-2 = (5/2)(8) + c

-2 = 20 + c

c = -22

Then the equation will be

y = (5/2)x – 22

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The solution as I explained is C. 18.

Answer: The blue dot's value on the number line is 1.

Step-by-step explanation: Each two-skip interval from -7 to -3 is a skip of 4. Therefore, -3 skipped two times is -3 + 4, which equals 1, therefore the blue dot's value on the number line is 1.

we get that

so in this case

if p=10 we get that