The measure of an obtuse angle is A: greater than 0 and less than 90 degrees B: 90 degrees C. greater than 90 and less than 180 degrees

Answer:

The answer is 275 students.

Step-by-step explanation:

In 75 students, 33 students attend.

So the ratio is 33/75.

so multiply with 625.

625 x 33/75 = 275

Answer:

it's 6

Step-by-step explanation:

You can think of it 2 ways the first one is called the "bat and ball" method which is 12x15 then u divide it by 30. The other methos only works on very few if you look at the 30/15 one 15 is half of 30 so when you look at 12 half of that would be 6. Hope this helps :)

Answer: 220

Step-by-step explanation:

Create ratios using fractions, one for the students, and one for the percent

students: \(\frac{11}{x}\)  percents: \(\frac{5}{100}\)

Then cross multiply 1. \(11 *100 = 1100\), 2. \(1100 / 5 = 220\)

So \(x = 220\), this means there are a total of 220 students in 7th grade

Answer:

It would be proportional.

Step-by-step explanation:

Every 2 numbers on the X value, The y vaulue goes up by 20. It is the same number that it is inreasing by each time.

One has to invest $50000 in A and $25000 in B

Let x represent the investment in A and y represent the investment in B.

Total investment is $75,000 ( given )

hence x + y=$75,000 (from the above information)

x + y= 75,000     (equation 1)

Interest rate in A is 4.5 % and Interest rate in B is 3 %

now, 4% of $75000 = $3000

4.5x/100 + 3y/100 = $3000

= 4.5x+3y=300000  ( equation 2 )

Multiplying 3 to equation 1

which equals to 3x + 3y= 225000   ( equation 3 )

Solving equations:  equation 2 & equation 3

4.5x+3y=300000   ( equation 2 )

3x + 3y= 225000   ( equation 3 )

(-)    (-)   = (-)

1.5x  = 75000

x= 50000

substituting x= 50000 in equation 1 (x + y= 75,000)

50000 + y= 75,000

⇒y =75000-50000

⇒y=25000

Hence, Check can be done by multiplying the interest rates with the respective answer and summing them to get $3000

LEARN MORE ABOUT INTEREST SUMS HERE: https://brainly.in/question/2663098

#SPJ9

The difference between the highest and the lowest points of the country is 5771 feet.

The operation of subtraction is used to calculate the difference between two numbers. If you have an object group and remove a couple of them, the object group gets smaller.

The process of subtracting one number from another is called subtraction. The way to calculate the difference between two numbers is by using the basic arithmetic operation of subtraction, which is represented by the symbol (-).

Let the sea level be x.

The highest point of the country is 5,762 feet above the sea. So, we can write it as

x+5,762

Since the lowest point is 9 feet below sea level, we can write this expression:

x-9

The difference is the result of subtraction. Therefore, we can find the expression that represents the difference between the elevations by subtracting  x+5,762 and  x-9:

(x+5,762)-(x-9)

= x+5762-x+9

= 5762+9

=5771 feet

To know more about subtraction, visit:

https://brainly.com/question/819568

#SPJ9

Answer:

Hey! your answer should be A. 6 and 8

Step-by-step explanation:

I've attatched an image of what corresponding angles look like. Your best choice would be A

Answer:

1/12 gallons

Step-by-step explanation:

We can determine how much more hot chocolate than apple cider die Joe serve by subtracting 1/12 from 1/6.

Step 1:  Since 1/12 has the bigger denominator and 6 * 2 = 12, let's give 1/6 the same denominator as 1/12 by multiplying the entire fraction by 2/2

(1/6) * (2/2) = 2/12

Step 2:  Now we can subtract 1/12 from 2/12:

2/12 - 1/12 = 1/12

Thus, Joel served 1/12 more gallons of hot chocolate than apple cider.

Answer:

Hi

Step-by-step explanation:

Please paste your question so I can solve it

Thanks

Answer:

D.)

Step-by-step explanation:

In order to solve you would need to first get the number with the variable by itself. So first we'd need to add 5 to the other side and we would add it bc when we move a number over the equals sign (which is what were considering the greater than sign to solve)

Kristen spent $25 to buy 9 flowers (F) for her mother on May 10. She bought roses (R) which cost $3 and daisies (D) which cost $2. How many roses and how many daisies did she buy.

____________________________________

Total number of roses bougth

F= 9

F = R + D (I)

_______________

total cost (C)

C= 25

C= R *3 + D*2 (II)

_________________

Solving the two equations system by substitution

F = R + D

9= R + D

D= 9 - R

Replacing in (II)

25 = R *3 + (9 - R)*2 (II)

25 = 3*R + 18 - 2R

R = 25- 18

R=7

D= 2

__________________

Answer

Kristen bought 7 roses and 2 daisies

Answer:

Solution: x ⩾ \frac{8}{5}

Step-by-step explanation:

x 3 + x 2 ≤ 10x – 8

Reorder the terms

3x + 2x ≤ 10x - 8

Collect like terms

5x ≤ 10x - 8

Move the variable to the left

5x -10x ≤ -8

Collect like terms

-5x ≤ - 8

Divide both sides

x ⩾ \frac{8}{5}

Answer:

D

Step-by-step explanation:

The domain and range of the function  f(x) = 3/x + 2 are  (-∞, 0) ∪ (0, ∞) and  (-∞, 2) ∪ (2, ∞). The vertical and horizontal asymptotes are x = 0 and y = 2 respectively

In mathematics, the domain of a function is the set of all possible input values (also known as the independent variable) for which the function is defined. The range of a function is the set of all possible output values (also known as the dependent variable) that the function can produce.

To determine the domain and range of a function, it's important to consider the nature of the function, its graph or formula, and any restrictions that may apply.

The function f(x) = 3/x + 2

The domain of the function is (-∞, 0) ∪ (0, ∞)

The range of the function is (-∞, 2) ∪ (2, ∞)

The x - intercept is (-3/2, 0)

The y - intercept does not exist

The vertical asymptotes is x = 0

The horizontal asymptotes is y = 2

Learn more on domain and range of a function here;

https://brainly.com/question/10197594

#SPJ1

Answer:

719010

Step-by-step explanation:

Answer: Range is 8 and median is 7

Step-by-step explanation:

To find the range is to take the number with the highest value and subtract that from the number with lowest value. So you would take 9 and 1 (9-1) and would get 8

To find the median, you need to rearrange the numbers from lowest to highest, and find the middle of it. Since the order of numbers is perfectly arranged, the median is 7

Answer:

Q9:
\(\boxed{V = \dfrac{7}{96}\;cubic\;feet}}\)

Q10

\(\boxed{V = \dfrac{64}{125}\;cubic\;yards}\)

Step-by-step explanation:

For a rectangular prism, the volume = length x width x height

Given these 3 dimensions simply multiply them to get the volume

Q9

\(V = \dfrac{7}{8} \cdot \dfrac{2}{3} \cdot \dfrac{1}{8}\\\\\)

\(V = \dfrac{7\cdot 2\cdot 1}{8\cdot 3 \cdot 8}\\\\V = \dfrac{14}{192}\\\\\)

Divide numerator and denominator to reduce to lowest fraction

\(V = \dfrac{14 \div 2}{192\div 2}\\\\\boxed{V = \dfrac{7}{96}\;cubic\;feet}}\)

Q10

This is a cube since each side is the same length

For a cube of side a, the volume = a³

So for this particular cube

\(V = \left(\dfrac{4}{5}\right)^3\\\\\\\boxed{V = \dfrac{64}{125}\;cubic\;yards}\)

From the calculation, the growth rate is 0.88.

To find the relative growth rate

P1 = Poe^rt

P2 = Poe^rt

Thus;

1920 = Poe^4r ------ (1)

1966080 =Poe^12r -------(2)

P2/P1 gives;

1966080/1920 = Poe^12r/Poe^4r

1024 = e^12r/e^4r

1024 =e^8r

1024 = (e^r)^8

2^10 = (e^r)^8

e^r = 2^1.25

e^r = 2.38

r = ln(2.38)

r = 0.88

The initial size of the culture is;

1920 = Poe^(0.88 * 4)

Po = 1920/e^(0.88 * 4)

Po = 57

The  expression for the exact number of bacteria after t hours is

P(t) = 57e^0.08t

The growth (in bacteria per hour) after 9.5 hours is

P(t) = 57e^(0.88 * 9.5)

P(t) = 243544

For the number to reach 72,000;

72,000 =  57e^0.88t

72,000/57 = e^0.88t

ln 126 = ln[e^0.88t]

4.8 = 0.88t

t = 4.8/0.88

t = 5.5 hours

Learn more about exponential growth;https://brainly.com/question/13674608

#SPJ1

Step-by-step explanation:

The body reverses direction whenever we go from Positve velocity to negative velocity or vice versa.

So here it is (2,7) exclusive then (7,10) exclusive.

A constant speed means a slope of 0. Here it is (3,6).

c. Since speed is non negative, we would reflect any part of the velocity function that is below the time.axis about the time axis

So we would get

Above is the function, don't worry bout the math part.

D. Knowing that acceleration is the derivative of velocity with respect to time, the derivative of any linear function is the slope of that linear function. So if we find the slope of different paths, we will get a constant and then we can graph it

We must use the original graph because acceleration is a vector meaning it can be negative.

We would get

the second graph is acceleration vs time

\( \color{lime} \fbox{ \colorbox{black}{ \boxed{\begin{array}l{}  \\ \quad \qquad\bf \large \color{lime}{ \underline{Solution} : }\: \: \\ \\ \: \tt \mapsto5x + 4x - 68 = 34 - 8x\\ \\ \: \tt \mapsto9x - 68 = 34 - 8x \\ \\ \: \tt \mapsto9x + 8x = 34 + 68\\ \\ \: \tt \mapsto17x = 102\\ \\ \: \tt \mapsto x = 102 \div 17\\ \\ \: \tt \mapsto x = 6\: \: \end{array} }}}\)

Answer:

a) -2 < 3

b) |-12| < |15| (the absolute value of -12 is 12 so that's comparing 12 to 15)

c) 3 > -4

d) |15| > |-12|

e) 7 > -11

Answer:

This is pogers

Step-by-step explanation:

What is ur minecraft usernaem

Answer:

consistent  

A consistent and independent solution to a system of linear equations is one point

A consistent and dependent solution to a system of linear equations is where they are the same line ( they could also be called equivalent)

An inconsistent solution is where there is no solution, the lines do not cross

Since the lines cross at exactly one point, this is a consistent and dependent solution

The solution is at x = 3  ( 3 units to the right of the origin)

and y = 2 ( 2 units up from the origin)

Step-by-step explanation:

Answer:

Points Yay Woop Woop

Step-by-step explanation:

Pointsssssss

0

Because the line isn't increasing or decreasing, it's just flat, so it's 0.

Answer:

Step-by-step explanation:

It doesn't matter what value x has. y is always 2. That means that the slope has disappeared.

The slope must be zero.

Answer:

let x=2t and y=5t

-x+3y = -2t+15t = 13t

2x+y = 4t+5t = 9t

So the ratio is 13t : 9t

So, the ratio is 13 : 9

An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;

(x, y)                →            (y, -x)

Point N = (-4, -1)          →     Point N' (-1, 4)

Point O = (-4, -3)          →     Point O' (-3, 4)

Point G = (0, -1)          →     Point G' (-1, 0)

Read more on rotation here: brainly.com/question/28854313

#SPJ1

The differential equation representing the model of the number of words memorized by the students is equal to option C. dL/dt = k(100 - L).

Let us consider function 'L' represents the number of words memorized at time 't'

Total number of words students asked to memorized = 100 words

Rate of change of number of words with time 't' is equal to ( dL/dt )

Number of words left to memorized by the students = 100 - L

Differential equation representing the situation is

= Rate of change of number of words memorized ∝ number of words left to memorized

= dL/dt ∝ ( 100 - L )

⇒ dL/dt = k( 100 - L )

Where 'k' is the constant of proportionality .

k is a positive number.

Therefore, the differential equation representing the situation of memorizing word is given by option c. dL/dt = k( 100 - L ).

Learn more about differential equation here

brainly.com/question/16358700

#SPJ4

The above question is incomplete, the complete question is:

Students are asked to memorize a list of 100 words. The students are given periodic quizzes to see how many words they have memorized. The function L gives the number of words memorized at time t. The rate of change of the number of words memorized is proportional to the number of words left to be memorized.

1. Which of the following differential equations could be used to model this situation, where k is a positive constant?

A. dL/dt = kL

B. dL/dt = 100 - kL

C. dL/dt = k(100 - L)

D. dL/dt = kL - 100

Step-by-step explanation:

To find the equation of a line perpendicular to -2x+y= 9, we first need to determine the slope of the given line. We can rewrite -2x+y= 9 in slope-intercept form (y=mx+b) by isolating y:

-2x+y=9

y=2x+9

So the slope of the given line is 2. The slope of any line perpendicular to this line will be the negative reciprocal of this slope, which is -1/2.

Next, we can use the point-slope form of the equation of a line to find the equation of the line that passes through the point (6, 2) with a slope of -1/2:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the given point. Plugging in the values, we get:

y - 2 = (-1/2)(x - 6)

Simplifying this equation, we get:

y - 2 = (-1/2)x + 3

y = (-1/2)x + 5

So the equation of the line perpendicular to -2x+y= 9 that passes through the point (6, 2) is y = (-1/2)x + 5.