Question 8 of 10
Which expression is equivalent to -16 - 9?
A. -16 + 9
B. 16 + 9
O C. 16+(-9)
D. - 16+(-9)
Answer quick
Branniest as well

Answer:

√145/9

Step-by-step explanation:

Terminal side passes through (9,8 ) . So it is in first quadrant . The perpendicular will be 8u and base 9u .

For finding hypotenuse ,

=> h = √9² + 8² u

=> h = √81+64 u

=> h = √145 u

As we know that ,

=> sec∅ = hypotenuse/base

=> sec∅ = √145/9

Answer:

Jordan had 18 coins. Two-thirds of the coins were dimes. How many coins were dimes?

Min had 18 quarters. He used 2/3 of the quarters to play arcade games. How many quarters did Min use?

Step-by-step explanation:

2/3 × 18

Checking all options

Sarah mixed 18 ounces of orange juice with 23 ounce of pineapple juice. How many ounces of juice did she have in all?

Ounces of orange juice = 18

Ounces of pineapple juice = 23

Total ounces of juice = 18 + 23

= 41 ounces

A container held 18 ounces of water. Two-thirds of the water leaked out of the container. How many ounces of water were left in the container?

Total water in the container = 18

Water leaked out = 2/3

Ounces of water left = 18 - 2/3(18)

= 18 - 36/3

= 18 - 12

= 6

Jordan had 18 coins. Two-thirds of the coins were dimes. How many coins were dimes?

Total Number of coins = 18

Dimes = 2/3 of 18

Number of dimes = 2/3 × 18

= 36 / 3

= 12

Min had 18 quarters. He used 2/3 of the quarters to play arcade games. How many quarters did Min use?

Total quarters = 18

Quarters used for game = 2/3 × 18

= 2/3 × 18

= 36 / 3

= 12

Supercomputers are the most powerful computers at any given time, but are built especially for assignments that require arithmetic speed.

The supercomputers, which are the most advanced and high-performance computers available, are specifically constructed to handle assignments that demand rapid arithmetic processing.

These machines are optimized for executing complex mathematical operations and simulations, enabling them to tackle problems that require immense computational power.

By harnessing parallel processing, massive memory capacities, and specialized architectures, supercomputers excel in solving scientific, engineering, and research challenges that necessitate exceptional arithmetic speed.

Their capabilities contribute to advancements in various fields, including weather forecasting, molecular modeling, astrophysics, and cryptography.

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Answer: See below

Step-by-step explanation:

Let h represent hamburgers and c represent cheeseburgers

h + c ≤ 100 - The amount of burgers sold

3h + 3.5c ≥ 80 - Amount that each burger sells for

Answer:

Convert in to cm and km to cm:

1cm=0.4in

5cm

Exactly one cm is 3.39 .. in so answer will come around 1.96 which is almost 2

#2

1cm=0.00001km

5cm

Answer:

The maximum height the projectile reaches is 100 feet

Step-by-step explanation:

Notice that the given equation representing the height of the projectile is a quadratic equation which negative leading coefficient (-16). Such type of equations would have a parabola that branches downwards as its graph.

therefore, what we need to find is the coordinates of the top vertex of that parabola. We can use for such the typical formula for the x-position of the vertex of a parabola with standard equation:

\(f(x)=ax^2+bx+c\)

with x-position of the vertex given by:

\(x_v=\frac{-b}{2a}\)

Then in our case  (\(H(t)=-16t^2+16t+96\))  we have:

Horizontal position of the vertex given by:

\(t_{vertex}=\frac{-16}{2(-16)} =\frac{1}{2}\)

and now we can find the maximum height plugging this value into the height expression:

\(H(t)=-16(\frac{1}{2}) ^2+16\,(\frac{1}{2})+96=-4+8+96=100\,\,ft\)

Answer:

-8

Step-by-step explanation:

|5x-2|=7x+14

or, 5x - 7x = 14 +2

or, -2x = 16

or, x= 16/ -2

or, x= -8

Based on the graph, the expected total value of the donations in October would be $460.

When donations were 5 in number, the expected value was £30.

When donations were 8, the expected value was £50.

When donations were 15, the expected value was £90.

The slope of the line is:

= (90 - 50) / (15 - 8)

= 5.71

The y-intercept as seen on the graph is 0.

The equation of the line is therefore:

y = 5.71x

The expected value of £80 in donations is therefore:

y = 5.71 x 80

= $460

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Answer:

Veronica left a tip of  $6.87

Step-by-step explanation:

3.50×2= 7

6.95×2= 13.9

7.95+12.95+15.95+7+13.9 = 41.8

0.25×41.8= 10.45

41.8-10.45= 31.35

0.0925×31.35 = 3

31.35+3 = 34.35

0.20×34.35 = 6.87

Answer:

56

Step-by-step explanation:

56 would be the arc. reasoning is because line CG form an arch of 56 and Angle A and C also form a angle of 34

Answer:

x = 12 half page advertisements

y = 8 full page advertisements

Step-by-step explanation:

42x + 86y = 1192

x + y = 20

y = 20 - x

Input (20-x) as y into the first equation

42x + 86(20-x)=1192

42x + 1720 - 86x = 1192

(42x - 86x) 1720 -1720= 1192-1720

-44x = -528

x = 12

12 + y = 20

y=8

a. 'x' represents half page advertisement and 'y' represents full page advertisement.

System of equation is given by 42x + 86y = 1192 , x + y =20.

b. Number of full page advertisement  Kathryn purchase is equals to 8.

c.  Number of half page advertisement  Kathryn purchase is equals to 12.

" System of equation is defined as the finite set of equations for which we find a common solution."

According to the question,

Cost of half page advertisement = $42

Cost of full page advertisement = $86

Number of advertisement Kathryn could purchase = 20

Total budget of Kathryn to purchase advertisement = $1192

'x' represents half page advertisement

'y' represents full page advertisement

As per the situation given system of equation we have,

42x + 86y = 1192                                 ______(1)

x + y = 20                        

x = 20 - y                                             _____(2)

Substitute the value of 'x' from  system of equation (2) in (1) we get,

\(42( 20 -y) +86y =1192\\\\\implies 840 - 42y +86y =1192\\\\\implies 44y = 1192-840\\\\\implies y = \frac{352}{44}\\ \\\implies y =8\)

Substitute the value of y in (2) to get 'x' ,

\(x=20-8\)

  = 12

Hence,

a. 'x' represents half page advertisement and 'y' represents full page advertisement.

System of equation is given by 42x + 86y = 1192 , x + y =20.

b. Number of full page advertisement  Kathryn purchase is equals to 8.

c.  Number of half page advertisement  Kathryn purchase is equals to 12.

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Answer:

it is There are 4 cups of water for each cup of sugar

Step-by-step explanation:

Answer:

2,2

Step-by-step explanation:

Answer:

2,3

Step-by-step explanation:

Draw it on a coordinate grid...

By using Euclid's first book, we can prove that the quadrilateral produced by perpendicular, unequal, bisecting diagonals is a kite. A kite is a quadrilateral with two pairs of adjacent sides that are equal in length. In this case, the two pairs of adjacent sides are formed by the diagonals bisecting the quadrilateral into four smaller triangles with equal areas.

According to Euclid's first book, when two lines intersect at a right angle (perpendicular), they form four right angles. In the case of a quadrilateral with perpendicular, unequal, bisecting diagonals, the diagonals intersect at a right angle and divide the quadrilateral into four smaller triangles with equal areas.

1. Draw a quadrilateral with perpendicular, unequal, bisecting diagonals.
2. Label the points where the diagonals intersect as A, B, C, and D.
3. Label the point where the diagonals intersect as E.
4. Use Euclid's first book to prove that the angles at E are all right angles.
5. Use Euclid's first book to prove that the four triangles formed by the diagonals are congruent (equal in area).
6. Use the definition of a kite to prove that the quadrilateral is a kite (two pairs of adjacent sides are equal in length).
7. Therefore, the quadrilateral produced by perpendicular, unequal, bisecting diagonals is a kite.

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Answer:

Step-by-step explanation:

7/7 = 1 whole number

8/4 = 2 whole numbers

both equal to whole number

Answer:

C. 2/3

Step-by-step explanation:

correct for september 2022

Answer:

x=1

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

5/7*6 = 4.28

Answer:

yes

Step-by-step explanation:

5/7×6=4.28

which is less than 6

1. Ptolemy's Theorem: This theorem states that for a cyclic quadrilateral (a quadrilateral inscribed in a circle), the product of the lengths of its two pairs of opposite sides is equal to the product of the lengths of its diagonals. Mathematically, it can be expressed as AB * CD + BC * AD = AC * BD.

2. Cross-ratio: The cross-ratio of four collinear points A, B, C, and D is defined as the ratio of the product of the distances between two pairs of points divided by the product of the distances between the other two pairs of points. Mathematically, it can be expressed as (AC/BC) / (AD/BD).

3. Sin (sine): This is a trigonometric function that relates the ratio of the length of the side opposite a given angle to the length of the hypotenuse in a right-angled triangle. Mathematically, it can be expressed as sin(θ) = opposite/hypotenuse.

To show that JA'B' |C'B'| sinα sinβ sinγ sin(ZA'OB') sin(ZB'C'O) sin(ZC'OB') sin(ZB'A'O), we would need more information or a clear diagram to provide a step-by-step proof. Please provide additional context or a diagram to help us understand the problem better, and we'll be happy to help

To solve this problem, we can use Ptolemy's Theorem and the cross-ratio.

First, let's recall what these terms mean. Ptolemy's Theorem states that in a cyclic quadrilateral (where all four vertices lie on a circle), the product of the diagonals is equal to the sum of the products of the opposite sides. The cross-ratio is a mathematical tool used to compare the ratios of distances between four collinear points.

Now, let's apply these concepts to the given diagram. We can see that A, B, A', and B' all lie on a circle (since the opposite angles add up to 180 degrees), so quadrilateral AA'B'B is cyclic. By Ptolemy's Theorem, we have:

JA' * B'B + JB' * A'B = JA'B' * AB

Next, we can use the cross-ratio to relate the ratios of the lengths of the sides and angles in the diagram. Specifically, we have:

(JA', JA; JB', JB) = (A'B', AB; B'B, AA')

where the notation (x, y; z, w) represents the cross-ratio of four collinear points x, y, z, and w.

Using trigonometric identities, we can express the cross-ratio in terms of the given angles and sines. For example:

(JA', JA; JB', JB) = (sina, sin 8; siny, sin (ZA'OB'))

Combining these two equations and simplifying, we get:

JA' / JB' = (sina * sin (ZC'OB')) / (siny * sin (ZA'OB'))

Finally, we can use similar reasoning to relate JA' to C'B' and JB' to C'A'. By the Law of Sines, we have:

JA' / C'B' = sin B / sin (ZB'C'O)

JB' / C'A' = sin B / sin (ZB'A'O)

Substituting these ratios into our earlier equation, we get:

(JA'B' | C'B') = (sina * sin 8 * sin B) / (siny * sin (ZA'OB') * sin (ZB'C'O) * sin (ZC'OB') * sin (ZB'A'O))

Therefore, we have shown that the cross-ratio of the collinear points JA', JB', C'B', and C'A' is equal to the right-hand side of the given equation.

Hi! In order to answer your question, let's consider the given terms:

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After d days, the number of lily pads in the pond can be calculated using the formula 2^d. So, if d is the number of days, then the number of lily pads after d days would be 2^d.

Each day, the number of lily pads doubles. So, on the first day, there is 1 lily pad. On the second day, the number doubles to 2. On the third day, it doubles again to 4, and so on. This doubling pattern continues for d days.

To calculate the number of lily pads after d days, we raise 2 to the power of d (2^d). This is because each day, the number of lily pads doubles, which can be represented as 2^1, 2^2, 2^3, and so on. By substituting the value of d into the equation, we can find the number of lily pads after d days.

For example, if d = 5, then the number of lily pads after 5 days would be 2^5 = 32. This means that there would be 32 lily pads in the pond after 5 days.

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Answer:

average rate of change = - 8

Step-by-step explanation:

the average rate of change of f(x) in the closed interval [ a, b ] is

\(\frac{f(b)-f(a)}{b-a}\)

here [ a, b ] = [ - 2, 4 ] , then

f(b) = f(4) = - 2(4)² - 4(4) + 7 = - 2(16) - 16 + 7 = - 32 - 9 = - 41

f(a) = f(-2) = - 2(-2)² - 4(-2) + 7 = - 2(4) + 8 + 7 = - 8 + 15 = 7

then

average rate of change = \(\frac{-41-7}{4-(-2)}\) = \(\frac{-48}{4+2}\) = \(\frac{-48}{6}\) = - 8

Answer:

Step-by-step explanation:

Without a specific graph, it's difficult to give three specific observations. However, I can provide three general observations that can be made from a graph showing the average time a student spends playing a sport in the fall:

The average time spent playing a sport in the fall varies by sport: Depending on the graph, different sports may show different average times spent playing. For example, if the graph shows the average time spent playing soccer, football, and volleyball, we may see that soccer has the highest average time, followed by football, then volleyball.

The average time spent playing a sport in the fall may be influenced by factors such as school policies or regional climate: School policies may dictate the length of a sport's season or the number of practices and games per week, which can impact the average time spent playing. Regional climate can also impact the average time spent playing certain sports, such as outdoor sports that may be less popular in colder climates.

There may be a correlation between the average time spent playing a sport and other factors such as academic performance or overall physical activity levels: Depending on the data presented in the graph, there may be a correlation between the average time spent playing a sport and factors such as GPA or the amount of time spent on other physical activities outside of sports.

If the drug company's hypothesis testing results show that the probability is slightly higher than the provided significance level of 0.01, the next step for the company would be to carefully evaluate the results and consider additional factors before making any conclusions or decisions.

When conducting hypothesis testing, the significance level is set as a threshold to determine the level of evidence required to reject the null hypothesis. In this case, the significance level is set at 0.01 by Health Canada.

If the probability calculated from the data is slightly higher than this significance level, it suggests that the evidence is not strong enough to reject the null hypothesis.

The drug company should proceed by conducting a thorough analysis of the data and the study design. They need to consider various factors that may have influenced the results, such as sample size, statistical power, potential biases, and the clinical significance of the findings.

It is important to assess whether there were any limitations in the study methodology or data collection process that could have affected the results.

Additionally, the drug company should consider consulting with experts, such as statisticians or researchers, to gain further insights and perspectives on the findings. They may explore alternative analyses or conduct additional studies to gather more evidence.

Ultimately, the next step for the drug company is to make an informed decision based on a comprehensive evaluation of the data and the context of the study. They need to weigh the potential risks and benefits of the new drug and consider the implications for further development, regulatory requirements, and patient safety.

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Answer:

\(\frac{2}{5} , \frac{1}{2} ,\frac{5}{8} ,\frac{2}{3}\)

from least to the greatest

Answer:

2/5, 1/2, 5/8, 2/3

Step-by-step explanation:

What we can do to order these fractions is make them have the same denominator:

75/120, 60/120, 80/120, 48/120
Now we can order these in order from least to greatest:

48/120, 60/120, 75/120, 80/120

Now we convert them back to what they originally were:

2/5, 1/2, 5/8, 2/3
This is our answer!

The approximate distance from Town A to Town C is 12.5 miles.

What is the midpoint?

The midpoint of a line segment is a point that lies halfway between 2 points. The midpoint is the same distance from each endpoint.

To find the midpoint of Town A and Town B, you need to find the average of the x-coordinates and the average of the y-coordinates.

The x-coordinate of Town A is -8 and the x-coordinate of Town B is 10, so the average is (10 - (-8))/2 = 9/2 = 4.5.

The y-coordinate of Town A is 2 and the y-coordinate of Town B is 8, so the average is (8 - 2)/2 = 6/2 = 3.

Therefore, Town C is located at (4.5, 3).

To find the distance from Town A to Town C, you can use the distance formula, which is the square root of the difference in x-coordinates squared plus the difference in y-coordinates squared.

The distance from Town A to Town C = √((4.5 - (-8))^2 + (3 - 2)^2) = √(12.5^2 + 1^2) = √(156.25 + 1) = √(157.25) = 12.5 miles

Hence, the approximate distance from Town A to Town C is 12.5 miles.

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Answer:

option 3

Step-by-step explanation:

i think

Explanation:

Segment LM is 7 units long compared to L'M' which is 21 units long. You can count out the spaces between the points, or use subtraction and absolute value, to find these segment lengths.

The jump from 7 to 21 is "times 3" which is directly from the scale factor 3. Each length of the image is 3 times larger compared to the preimage counterpart. Therefore, K'L' will be 3 times longer compared to KL.

Answer:

7 1/8 = 7.125

Step-by-step explanation:

5 3/4 + 11/8

23/4 + 11/8

23/4 * 2 + 11/8

46/8+11/8

46+11/8

57/8

7.125

Answer:

\(\frac{14}{55}\)

Step-by-step explanation:

note that

n! = n(n - 1)(n - 2) .... × 3 × 2 × 1

Given

\(\frac{8!9!}{5!12!}\)

Cancel the terms from 8! ( 5 × 4 × 3 × 2 × 1 ) with the same terms from

5! ( 5 × 4 × 3 × 2 × 1 ) leaving

8 × 7 × 6 = 336 on the numerator

Similarly

Cancel the terms from 9! and 12!

leaving 12 × 11 × 10 = 1320 on the denominator, thus simplifies to

\(\frac{336}{1320}\)

= \(\frac{14}{55}\)

Step-by-step explanation:

You hiked 5400 - 3800 = 1600 feet in 4 hours so the mean change is 1600 / 4 = 400 ft/hour.