Pick the expression that matches this description:

A trinomial with a leading coefficient of 3 and a constant term of -5

Choose 1 answer:

(Choice A)

3m^2-5

(Choice B)

3m^2-5m+1

(Choice C)

-5m^2+4m+3

(Choice D)

3m^2+m-5

The problem involves applying the concept of percentage. By using the given data, we find that 70 sixth graders went on the museum trip.

The subject of this problem is percentage and its application in a real-world situation. The problem stated that 70% of the sixth graders chose to go to the museum. As there are 100 sixth graders, to calculate the number of students who went on the museum trip, you would use the formula percentage/100 x total number.

So, 70/100 x 100 = 70 sixth graders. Hence, 70 sixth-graders from Sarah's school went on the field trip to the museum.

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Answer:

[tex]\frac{ d^{2} y}{dx^{2} } = -10[/tex]

Step-by-step explanation:

Concept : We have to differentiate the given equation twice and then put the values of x and y at the given point.

The given point is (2,-5).

Given    xy - y = -5

Differentiating both sides,

[tex] x \times \frac{dy}{dx} + y - \frac{dy}{dx}[/tex] = 0

Substitute (x,y) as (2,-5)

[tex]2 \times \frac{dy}{dx} -5 - \frac{dy}{dx}[/tex] = 0

[tex]\frac{dy}{dx} = 5[/tex]

Differentiating again, we get

[tex]\frac{dy}{dx} + x \times \frac{ d^{2} y}{dx^{2} } + \frac{dy}{dx} - \frac{ d^{2} y}{dx^{2} } = 0[/tex]

Substitute values of x , y and \frac{dy}{dx} ,

[tex]5 + 2 \times \frac{ d^{2} y}{dx^{2} } + 5 - \frac{ d^{2} y}{dx^{2} } = 0[/tex]

[tex]\frac{ d^{2} y}{dx^{2} } = -10[/tex]

Answer:

E(-5, - 6) D(5,-6) C(0,0)

Step-by-step explanation:

The strategy here is run then rise/fall

For example: for E, you run back - 5, then fall - 6

The possible values of tutoring hours are 12 hours, 13 hours, 14 hours, 15 hours.

Given that, Nicole is working two summer jobs, making $10 per hour babysitting and making $20 per hour tutoring.  

In a given week, she can work at most 17 total hours and must earn a minimum of $250.  

Nicole worked 2 hours babysitting, then we have to determine all possible values for the number of whole hours tutoring that she must work to meet her requirements.  

Now, as she worked for 2 hours of babysitting, she will get 2 x $10 = $ 20  

Now, after this, she can work at most (17 - 2) = 15 hours for tutoring and she has to earn minimum of 250 – 20 = $230

Now, let the number of hours she tutored be "n"

Then, from above cases n ≤ 15  

And n x $20 ≥ 230

n ≥ 11.5  

Here we have to cases,  n ≥ 11.5 and n ≤ 15

So, the possible list of n values will be 12, 13, 14, 15

Hence, the possible values of tutoring hours are 12 hours, 13 hours, 14 hours, 15 hours.

The possible values for the number of whole hours tutoring that Nicole must work are: {12, 13, 14, 15} .

Given:

- Nicole can work at most 17 total hours: [tex]\( b + t \leq 17 \)[/tex].

- Nicole must earn a minimum of $250: [tex]\( 10b + 20t \geq 250 \)[/tex].

Nicole worked 2 hours babysitting, so ( b = 2 ).

Substituting ( b = 2 ) into the inequality [tex]\( b + t \leq 17 \)[/tex], we get:

[tex]\[ 2 + t \leq 17 \]\[ t \leq 17 - 2 \]\[ t \leq 15 \][/tex]

Now, let's find the minimum number of hours tutoring that Nicole must work to meet her requirements:

[tex]\[ 10(2) + 20t \geq 250 \]\[ 20 + 20t \geq 250 \]\[ 20t \geq 250 - 20 \]\[ 20t \geq 230 \]\[ t \geq \frac{230}{20} \]\[ t \geq 11.5 \][/tex]

Since Nicole must work a whole number of hours tutoring, the minimum number of hours tutoring she must work is 12 hours.

The distance from home to second base in a slow pitch softball diamond is approximately 87.68 feet. This calculation is achieved through the use of the Pythagorean theorem, which utilizes the square lengths of the diamond sides to calculate the diagonal path between the bases.

The distance from home to second base in a slow pitch softball diamond can be calculated using the Pythagorean theorem, as the path forms a right triangle. The side lengths of the diamond are 62 ft, so we can use these as the legs of our right triangle. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this case, it's a^2 + b^2 = c^2, where c is the distance we want to find.

So, the calculation will be √((62ft)^2 + (62ft)^2). Simplifying this gives √(3844ft^2 + 3844ft^2), which is √7688ft^2. Which gives us approximately 87.68 ft. So, the distance from home to second base is approximately 87.68 feet.

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To find the distance from home to second base on a slow pitch softball diamond, use the Pythagorean theorem to calculate the diagonal of the square. With each side being 62 feet, the distance comes out to approximately 87.7 feet.

How to Find the Distance from Home to Second Base

In a slow pitch softball diamond, the bases form a square with each side measuring 62 feet.

We must compute the diagonal for the square in order to get the distance between home plate and second base.

This can be done using the Pythagorean theorem.

Step-by-Step Solution

Label the sides of the square. Each side is 62 feet.

Recall the Pythagorean theorem formula: a² + b² = c², where 'a' and 'b' are the legs of a right triangle, and 'c' is the hypotenuse (which, in this case, is the diagonal).

Here, both 'a' and 'b' are 62 feet because the square’s sides are equal.

→ Substitute the values into the formula: 62² + 62² = c²

→ Calculate the squares: 3844 + 3844 = c²

→ Combine the values: 7688 = c²

→ Take the square root to find 'c': c = √7688

The diagonal (distance from home to second base) is approximately 87.7 feet.

Therefore, the distance from home to second base is about 87.7 feet.

Answer:

Here are 3

Step-by-step explanation:

Are a U.S. citizen.

Meet your state's residency requirements.

Are 18 years old on or before Election Day.

Answer:

They are actually equal.

Step-by-step explanation:

8.09 is equal to 8.090

They both have the same tenth(0) and the same hundredth(9).

A simple way to put this is to just add a zero to 8.09.

8.090

8.090

Answer:

false

Step-by-step explanation:

the only zero that matters is the one before the 9. so, if it was 8.009, ts smaller by one thousandth. if i had 8.09000000000, all the underlined zeros would mean nothing because they arent anything. they are the absence of a value.

Answer:

(- 5, 3 )

Step-by-step explanation:

Given the 2 equations

y = - 8x - 37 → (1)

x + 3y = 4 → (2)

Substitute y = - 8x - 37 into (2)

x + 3(- 8x - 37) = 4 ← distribute and simplify left side

x - 24x - 111 = 4

- 23x - 111 = 4 ( add 111 to both sides )

- 23x = 115 ( divide both sides by - 23 )

x = - 5

Substitute x = - 5 into (1) for corresponding value of y

y = - 8(- 5) - 37 = 40 - 37 = 3

Solution is (- 5, 3 )

Answer:

x = -5, y = 3 or you can write it as (-5, 3).

Step-by-step explanation:

y=-8x – 37

x+3y=4

From the second equation  x = 4 - 3y, so substituting in equation 1:

y = -8(4 - 3y) - 37

y = -32 + 24y - 37

-23y =  -69

y = 3

Now plug y = 3 into equation 1:

3 = -8x - 37

-8x = 40

x = -5.

Answer:

The measure of the three angles are 120°, 20° and 40°

Step-by-step explanation:

Let

x ----> the measure of the first angle

y ---> the measure of the second angle (smallest angle)

z ---> the measure of the third angle

Remember that

The sum of the angles in a triangle must be equal to 180 degrees

so

[tex]x+y+z=180[/tex] ----> equation A

[tex]x=y+100[/tex] -----> equation B

[tex]z=2y[/tex] ------> equation C

solve the system by substitution

substitute equation B and equation C in equation A

[tex](y+100)+y+(2y)=180[/tex]

solve for y

[tex]4y+100=180[/tex]

[tex]4y=180-100[/tex]

[tex]4y=80[/tex]

[tex]y=20\°[/tex]

Find the value of x

[tex]x=y+100[/tex]  ---- [tex]x=20+100=120\°[/tex]

Find the value of z

[tex]z=2y[/tex] ----> [tex]z=2(20)=40\°[/tex]

therefore

The measure of the three angles are 120°, 20° and 40°

Answer:

Step-by-step explanation:

120,20 and 40

Answer: m=34

Step-by-step explanation:

11+m=-23

add 23 on both sides

m=34

Answer:

xy/2

Step-by-step explanation:

use m a t h w a y

Correct option is third [tex]\frac{2+3}{3}=\frac{x+y}{y}[/tex]

Given that:

[tex]\frac{2}{3}=\frac{x}{y}[/tex]

Need to check which of the expression from given four expressions will be true.

Let's first try to eliminate wrong options.

If we observe carefully, we can say that option 2 that is [tex]\frac{3}{2}=\frac{x}{y}[/tex] is not correct as [tex]\frac{x}{y}[/tex] must be equal to [tex]\frac{2}{3}[/tex] and not [tex]\frac{3}{2}[/tex]

Lets now modify given expression that is:

[tex]\frac{2}{3}=\frac{x}{y}[/tex]

On adding 1 to both sides we get

[tex]\frac{2}{3}+1=\frac{x}{y}+1[/tex]

[tex]=>\frac{2+3}{3}=\frac{x+y}{y} \text { which is same as third option. }[/tex]

Hence correct option is third one that is [tex]\frac{2+3}{3}=\frac{x+y}{y}[/tex]

Answer:

cdsnvj;vs

Step-by-step explanation:

Answer:

(2, 6)

Step-by-step explanation:

Because 8(2)-2(6)=16-12=4.

The ordered pair of the equation 8x - 2y = 4 is (2,6).

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the equation is 8x - 2y = 4. The ordered pair will be calculated as,

8x - 2y = 4

( 8 x 2 ) - ( 2 x 6) = 4

16 - 12 = 4

4 = 4

Therefore, the ordered pair of the equation 8x - 2y = 4 is (2,6).

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Answer:

I think that the answer is A

Step-by-step explanation:

Answer:

The number of students who have a test score in the interval 71-80 is 13.

Step-by-step explanation:

Given:

The frequency chart which show the cumulative numbers of students test scores.

Now, to find the number of students who score in the interval 71-80, we will look in the frequency chart. In the chart score range of 65-80 the cumulative number of students are 13. As the 71 to 80 comes in between the score range 65-80 and there are 13 students who scored in this range.

Therefore, the number of students who have a test score in the interval 71-80 is 13.

Answer:

The height of the rock is 15 mm.

Step-by-step explanation:

Given : Cristian put a large rock on the bottom of the terrarium he made for his pet turtle.

To find : How high is the rock?

Solution :

The rock is a right rectangular prism 10 cm wide by 12 cm long.

Let the height be 'h'.

The volume of the right rectangular prism is [tex]V=L\times B\times H[/tex]

i.e. [tex]V=10\times 12\times h[/tex]

[tex]V=120h[/tex]

The rock displaces 1800 cm³ of water.

i.e. The volume of the right rectangular prism is equal to the rock displaces of water.

So, [tex]120h=1800[/tex]

[tex]h=\frac{1800}{120}[/tex]

[tex]h=15[/tex]

Therefore, the height of the rock is 15 mm.

The exact answer is going to be equal to 15mm

Hope this helped

Answer:

Step-by-step explanation:

2 : 11 = 0 + r(2)

11 is 0 times in 2. The remainder of this division is 2.

Answer:

Answer. This is pretty tricky—if we have 2 divided by 11, the remainder is actually 2. The remainder is 2 because the quotient is 0 (11 goes into 2 zero times).

Step-by-step explanation:

Answer:

x = 27

Step-by-step explanation:

The given angles are vertical angles and congruent, thus

5(x - 4) = 4x + 7, that is

5x - 20 = 4x + 7 ( subtract 4x from both sides )

x - 20 = 7 ( add 20 to both sides )

x = 27

Answer:

$9.35

Step-by-step explanation:

Tilapia: 1.5 * $3.88 = $5.82

Cod: 1 * 3.53 = $3.53

$3.53 + $5.82 = $9.35

Answer:

9.35

Step-by-step explanation:

3.88/2= 1.94 for every half pound of tilapia

1.94+3.88+3.53=9.35

Answer:67.5 miles left

Step-by-step explanation:

15×30%= 4.5 then do 15×4.5= 67.5

The required distance of the trip is given as, 50 miles.

Jadas family has completed 30% of the trip. They have traveled 15 miles. How far is the trip is to be determined.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
Let the distance for the trip be x,
According to the question,
30% of x = 15
x = 15 / 30%
x = 1500 / 30
x = 50 miles

Thus, the required distance of the trip is given as, 50 miles.

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Answer:

2250

Step-by-step explanation:

From my understanding you have 450 packs to make and you need to put 5 tissue boxes in each one so we would just simply multiply 450 packages by 5 tissue boxes each package and get 2250

A Staghorn Coral can grow as much as 3.35 feet in 5 years under ideal conditions, assuming it grows at a fixed rate of 0.67 foot per year.

The question asks us to find out how much a Staghorn Coral, a type of branching coral, can grow in 5 years. Each year, the coral can potentially increase its size by 0.67 foot. To figure this out, we would use multiplication, a basic arithmetic operation.

First, we need to multiply the annual growth rate (0.67 foot) by the number of years (5). So, 0.67 * 5 equals 3.35 feet. This signifies that the Staghorn Coral can grow as much as 3.35 feet over the course of five years under optimal conditions.

Therefore, a Staghorn Coral can potentially add 3.35 feet to its branches during a 5 year span if it grows at the rate of 0.67 foot per year.

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8,653,972 rounded to the ten-thousands is 8,650,000.

Hope this helps!

8,653,972 rounded to the ten thousand is

8,650,000

Answer:

Part A) The linear expression that represent the total field goal points scored in the first two quarters is (3x-4)

part B) The linear expression that represent the total points scored in the game is [tex]6x-1[/tex]

Step-by-step explanation:

Part A) we know that

To find out the total field goal points scored in the first two quarters, sum the field goal points scored in the first quarter plus the field goal points scored in the second quarter

we have that

1st quarter= 2x-6

2nd quarter = x+2

therefore

[tex](2x-6)+(x+2)[/tex]

Group terms

[tex](2x+x)+(-6+2)[/tex]

Combine like terms

[tex]3x-4[/tex]

therefore

The linear expression that represent the total field goal points scored in the first two quarters is (3x-4)

Part B) we know that

To find out the total points scored in the game, sum the field goal points scored in the first quarter, plus the field goal points scored in the second quarter plus the field goal points scored in the third quarter, plus the field goal points scored in the fourth  quarter, plus the total free throw points.

we have that

1st quarter= 2x-6

2nd quarter = x+2

3rd quarter=2x

4th quarter=x-6

Free throw points =9

therefore

[tex](2x-6)+(x+2)+2x+(x-6)+9[/tex]

Group terms

[tex](2x+x+2x+x)+(-6+2-6+9)[/tex]

Combine like terms

[tex]6x-1[/tex]

therefore

The linear expression that represent the total points scored in the game is [tex]6x-1[/tex]

Answer:

abs(-1/4), abs(-0.5), abs(6/10), abs(6.25).

Step-by-step explanation:

abs(-1/4)=1/4=0.25

abs(6/10)=6/10=3/5=0.6

abs(6.25)=6.25

abs(-0.5)=0.5

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

abs(-1/4)=0.25 is the smallest, then comes abs(-0.5)=0.5, next comes abs(6/10), finally, comes abs(6.25).

Answer:

A) 6/13 B) 7/40 C) 45/36 D) 37/43

Step-by-step explanation:

Answer:

For [tex]x^2 - 4 = 0[/tex], x  = 2, or x = - 2.

Step-by-step explanation:

Here, the given expression is :

[tex]x^2 - 4 = 0[/tex]

Now, using the ALGEBRAIC IDENTITY:

[tex]a^2 - b^2 = (a-b)(a+b)[/tex]

Comparing this with the above expression, we get

[tex]x^2 - 4 = 0  = x^2 - (2)^2 = 0\\\implies (x-2)(x+2) = 0[/tex]

⇒Either (x-2) = 0 , or ( x + 2) = 0

So, if ( x- 2)   = 0 ⇒ x =  2

and if ( x + 2) = 0   ⇒ x = -2

Hence, for [tex]x^2 - 4 = 0[/tex], x  = 2, or x = - 2.

Answer:

Step-by-step explanation:

[tex]x^2-4=0\qquad\text{add 4 to both sides}\\\\x^2-4+4=0+4\\\\x^2=4\iff\sqrt{x^2}=\sqrt4\\\\|x|=2\Rightarrow x=\pm2[/tex]

Answer:

Cost of Tammy's lunch box before tax = $9.571

Step-by-step explanation:

Let the cost of Tammy's lunch box before tax be =$ [tex]x[/tex]

Sales tax charged = $0.727

Sales tax rate =7.596%

Sales tax charged in terms of  will be = 7.596% of the Original cost of lunch box[tex]=7.596\% \ of\ x =0.07596\ x[/tex]

So, we have,

[tex]0.07596\ x=0.727[/tex]

Dividing both sides by [tex]0.07596[/tex]

[tex]\frac{0.07596\ x}{0.07596}=\frac{0.727}{0.07596}[/tex]

∴ [tex]x=9.571[/tex]

∴ Cost of Tammy's lunch box before tax = $9.571