x^2 = 16. what does x equal?

Answer:

x = 5

Step-by-step explanation:

216 ^x  = 6^(x+10)               notice that 216  = 6^3

(6^3 )^x = 6^(x+10)

6^3x = 6^(x+10)       now just equate the exponents

 3x = x + 10

   2x = 10       x = 5

Answer:

how you convert feet to square feet

length X width = square feet

if the board is 3ft long and 1 foot wide

3ft X 1ft = 3square feet

so the length is 3 feet

Answer:

Step-by-step explanation:

the answer is 9

Answer:

y = 0.8x

Step-by-step explanation:

Parallel lines have the same slope but different y-intercepts

Bottom line slope can be found by noting that it passes through points

(0, -3.2) and (4,0)

Then find the difference in y values which is called  the rise

Find the corresponding difference in x values called the run

rise/run = slope

For the bottom line
Rise = 0 - (-3.2) = 3.2

Run = 4 - 0 =4

So slope m = 3.2/4 = 0.8

Slope of top line is also 0.8

Since it passes through origin there is no y-intercept

So equation of top line is simply
y = 0.8x

Answer:

A

Step-by-step explanation:

2y + 1500x = 31000

2y = -1500 x + 31000

y = -750 x  + 15500        

rate of change is the slope = - 750 / year

Answer:

2 inches

Step-by-step explanation:

60 min/ 10 min= 6

6* 1/3= 6/3 or 2

Hope this helps!

Answer:

well it would go down 6 times so 1/3 6 times bc there is 60 minutes in an hour so 6 times 10 is 60.

Step-by-step explanation:

are there options??

Answer:

Step-by-step explanation:

One of the Answers is C

The square meters of the area the oil slick will cover is 9.6 × 10⁶ m².

Volume is defined as the amount of three-dimensional space enclosed by a closed surface.

Now, as per the given question;

First, we determine the entire volume of oil in gallons by multiplying the volume per barrel even by total number of barrels:

15×42 gal = 630 gal

This volume must be converted to square meters:

V = 630 gal × (0.00379 m³/ gal

V = 2.4 m³

The thickness (height) of a oil film in meters is required:

h = 250 nm × (m/10⁻⁹nm)

h = 2.5 × 10⁻⁷m

The surface area of a oil film is calculated by dividing the oil volume by height of the oil film.

A  = V/h

A  = 2.4 m³/2.5 × 10⁻⁷m

A = 9.6 × 10⁶ m²

Therefore, the area of the oil slick cover is found to be 9.6 × 10⁶ m².

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Answer:

y= -2/7x +4

Step-by-step explanation:

Answer: -2/7

Step-by-step explanation:

1. Use the slope equation (y2-y1)/(x2-x1) you take 2 coordinates in the chart and use the second coordinates y output minus the first corrdinates y output and the same for the x inputs and whatever you get is your slope

1. Plug the first two coordinates into the slope formula:

(6-8)/(-7-(-14))

2. Solve:

-2/7!

I hope this helped :)

Answer:

4 To 0

Step-by-step explanation:

it is 0-4=-4.

hence you can choose any other natural number too

the correct answer is: a. -0.0686 < p1 - p2 < 0.0386. To construct a confidence interval for the difference between two population proportions, we can use the following formula: CI = (p1 - p2) ± Z * sqrt((p1(1 - p1) / n1) + (p2(1 - p2) / n2))

where:

p1 = proportion of New Yorkers who knew the product

p2 = proportion of Californians who knew the product

n1 = number of New Yorkers surveyed

n2 = number of Californians surveyed

Z = Z-score corresponding to the desired confidence level

In this case, we have:

p1 = 193/558

p2 = 196/614

n1 = 558

n2 = 614

Let's calculate the confidence interval using a 99% confidence level. The corresponding Z-score for a 99% confidence level is approximately 2.576.

CI = (p1 - p2) ± 2.576 * sqrt((p1(1 - p1) / n1) + (p2(1 - p2) / n2))

CI = (193/558 - 196/614) ± 2.576 * sqrt(((193/558)(1 - 193/558) / 558) + ((196/614)(1 - 196/614) / 614))

CI = (-0.0150) ± 2.576 * sqrt((0.1279 / 558) + (0.1265 / 614))

CI = (-0.0150) ± 2.576 * sqrt(0.0002284 + 0.0002058)

CI = (-0.0150) ± 2.576 * sqrt(0.0004342)

CI = (-0.0150) ± 2.576 * 0.0208

CI = (-0.0150) ± 0.0536

CI = -0.0686 to 0.0386

Rounding to 4 decimal places, the 99% confidence interval for the difference between the two population proportions is -0.0686 to 0.0386.

Therefore, the correct answer is:

a. -0.0686 < p1 - p2 < 0.0386

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The area of a rhombus can be found by multiplying the length of one of its sides by the height of a perpendicular line from the center to a side.

The height of the rhombus is the distance from the center of the rhombus to one of its sides, perpendicular to that side.

The formula for the area of a rhombus can be written as A = s*h, where A is the area, s is the length of one of the sides of the rhombus, and h is the height of the rhombus.

It's important to note that this method of finding the area of a rhombus without diagonals can only be used when the rhombus is a regular polygon, a polygon with all sides and angles congruent. When the rhombus is not a regular polygon, then you can find the area by using the diagonals.

Additionally, it's important to mention that a rhombus can be defined as a parallelogram with all sides congruent or a square with its angles not 90 degrees.

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Answer:y=-x/-+8

Step-by-step explanation:

Answer:

you just move W down by 8 and to the left by 8 so it should end up at the coordinates (-5, -4)

Mia delivers newspapers at a rate of 140 papers per hour.

The correct answer is C.

To determine Mia's delivery rate, we need to calculate the number of newspapers she delivers per hour.

Mia takes \(\frac{5}{7}\) hours to deliver \(\frac{100}{1}\) newspapers.

We can convert the given fraction of time to hours by multiplying the numerator by 1 hour:

\(\frac{5}{7}\) hours = \((\frac{5}{7} )\times1\) hour

= \(\frac{5}{7}\) hour

Now, we can calculate Mia's delivery rate per hour by dividing the number of newspapers she delivers (100/1) by the time it takes her to deliver them (\(\frac{5}{7}\) hour):

Delivery rate = \(\frac{(\frac{100}{1} )}{\frac{5}{7}}\)

= \((\frac{100}{1} )\times(\frac{7}{5} )\)

= \(\frac{700}{5}\)

= \(140\)

Therefore, Mia delivers newspapers at a rate of 140 papers per hour.

The correct answer is C.

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Answer:

The forecast high is the highest temperature expected to occur that day, which in most cases is in the afternoon. The forecast low is the lowest temperature expected to occur during the next overnight period and on the vast majority of days will occur around daybreak the following morning.

Step-by-step explanation:

I don't know the answer to that.

Answer:

53 minus 20 equal 33

Step-by-step explanation:

Answer:

x=17, y=9

Step-by-step explanation:

(5x - 38)° = (3x - 4)°

2x = 34

x=17

(5(17)-38))=47

90°+47°+(7y-20)=180°

7y-20=43°

y=9

The value of x is 17 and y is 9.

Following are the properties of parallel lines,

Given:

<1 = 7y -20

<2 = 5x - 38

<3 = 90

exterior angle = 3x -4

Using alternate interior angle

5x - 38 = 3x-4

2x = 34

x=17

So, <2 = (5(17)-38))

<2 =47

Using angle sum property

90°+47°+(7y-20)=180°

7y-20=43°

y=9

Hence, the value of x is 17 and y is 9.

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Answer:

100

Step-by-step explanation:

2245 - 245 = 2000

2000÷20 =100

Answer:

TWU is congruent to WUV

Step-by-step explanation:

Answer:

1) x=0.25, or 1/4, 2) 6.5

Step-by-step explanation:

1)

3(x-2) + 5x+4

3x - 6 + 5x + 4

8x - 6 + 4

8x + 2

/2 /2

x= 0.25

2)

4 - 2(x+7) - 3

4 - 2x - 14 + 3

4 - 2x - 17

-2x - 13

/-2 /-2

x = 6.5

The measurement of the angles are 95°, 120°, and 145°.

Let the smallest angle = x

Second angle = x + 25

Third angle = x + 25 + 25 = x + 50

x + x + 25 + x + 50 = 360

3x + 75 = 360

3x = 360 - 75

3x = 285

x = 285/3

x = 95°

Second angle = 95 + 25 = 120°

Third angle = 95 + 50 = 145°

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Answer:

True

Step-by-step explanation:

The left side 0.3 is less than the right side 0.8, which means that the given statement is always true.

Based on the given parameters, the length of the missing length in the triangle is 12 units

The given triangle is an scalene triangle

Scalene triangles are triangles that have unequal three sides

The missing side is x, and the value of x is calculated using the following equivalent ratios

We have

4 : 8 = 6 : x

Express the above equation as a fraction

4/8 = 6/x

Evaluate the quotient

0.5 = 6/x

Solve for x

x = 6/0.5

Evaluate the quotient

x = 12

Hence, the length of the missing length is 12 units

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Answer:

1/6

Step-by-step explanation:

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The probability of getting a blue marble is 0.15.

The probability of an event is a number that indicates how likely the event is to occur.

Given that, a  bag contains marbles of four different colors: 8 blue marbles, 24 red marbles, 16 green marbles and 4 yellow marbles,

We need to find the probability of picking a blue marble at random out of the bag,

Probability(Event) = Favorable Outcomes / Total Outcomes

Favorable Outcomes = 8

Total Outcomes = 52

Therefore,

P(blue marble) = 8/52 = 0.15

Hence, the probability of getting a blue marble is 0.15.

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The true statement about these graph is that: B. the graph of the original function (y = 8/5x + 4) is perpendicular to the graph of the new function (y =- 5/8x + 8).

A graph can be defined as a type of chart that's commonly used to for the graphical representation of data on both the horizontal and vertical lines of a Cartesian coordinate, which are typically known as the x-axis and y-axis respectively.

Mathematically, the standard form of the equation of a straight line on a graph is given by;

y = mx + c

Where:

In Mathematics, the condition for perpendicularity of two (2) lines is as follows:

m₁ × m₂ = -1

8/5 × (-5/8) = -1

Based on the graph (see attachment) of the original function and new function, we can infer and logically deduce that the true statement about their graph is that the graph of the original function (y = 8/5x + 4) is perpendicular to the graph of the new function (y =- 5/8x + 8).

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Complete Question:

Suppose the following function is graphed. y = 8/5x + 4 On the same grid, a new function is graphed. The new function is represented by the following equation. y =- 5/8x + 8. Which of the following statements about these graphs is true?

A. The graphs intersect at (0,8).

B. The graph of the original function is perpendicular to the graph of the new function.

C. The graph of the original function is parallel to the graph of the new function.

D. The graphs intersect at (0,4).

Answer:

slope = (2 - 4) / (3 - (-1)) = -2 / 4 = -1/2

Step-by-step explanation:

b) φ^(-1)(0.5) = 4 and it tells us that at t = 4 nanoseconds, there will be 0.5 nanograms of extract A remaining. This represents the inverse relationship between the amount of extract A remaining and time.

(c) False. Based on the given facts, there is no specific time mentioned when the amount of extract A remaining is exactly 4 nanograms. The known data points do not include φ(t) = 4.

(d) To calculate φ(φ^(-1)(1)), we substitute φ^(-1)(1) into the function φ. Since φ^(-1)(1) = 3, we evaluate φ(3). The result is φ(3) = 1, which means that at t = 3 nanoseconds, there will be 1 nanogram of extract A remaining.

(e) To calculate φ^(-1)(φ(6)), we substitute φ(6) into the inverse function φ^(-1). Since φ(6) = 0, we evaluate φ^(-1)(0). The result is φ^(-1)(0) = 10, indicating that at t = 10 nanoseconds, there will be 0 nanograms (or none) of extract A remaining.

(f) The domain of the function φ is the set of possible values for time t, which can range from 0 to a positive value, based on the experiment's time frame. The range of the function φ is the set of possible values for the amount of extract A remaining, which can range from 0 to 6 nanograms, based on the given facts.

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Answer: \(70 units^2\)

Step-by-step explanation:

As you can see, the rhombus is comprised of four congruent right triangles.

The area of one of these triangles is 0.5 x 7 x 5, which is 17.5 square units.

multiplying by 4 to get the area of the rhombus, we get \(70 units^2\)