A 0.5-kg ball accelerated at 50 m/s2 . What force was applied?

Final answer:

To subtract two polynomials, change the sign of the second polynomial and combine like terms. The result of subtracting (5x^2-3x-2) and (-2x^2-x+10) is 7x^2 - 2x - 12.

Explanation:

To subtract the given polynomials, (5x^2−3x−2) and (−2x^2−x+10), we need to change the sign of each term in the second polynomial and then combine like terms with the first polynomial. This is similar to subtracting negative numbers, where subtraction turns into addition when the number being subtracted is negative.

The subtraction process step-by-step is as follows:

Change the signs of the second polynomial: +2x^2 + x - 10

Add the results to the corresponding terms in the first polynomial:

5x^2 + 2x^2 = 7x^2

−3x + 1x = −2x

−2 − 10 = −12

So the answer to the subtraction in standard form is 7x^2 − 2x − 12.

Final answer:

With a daily budget of $98 for car rental, where the rental costs $35 per day plus 21 cents per mile, Jorge can drive a maximum of 300 miles per day.

Explanation:

If Jorge has $98 to spend for the daily car rental, where the cost comprises a fixed charge of $35 and 21 cents per mile, we use the equation 35 + 0.21x = 98 to find the maximum number of miles he can travel per day, with x representing the number of miles. Subtracting 35 from both sides of the equation gives us 0.21x = 63. Dividing both sides by 0.21 yields x = 300. Therefore, Jorge can drive a maximum of 300 miles per day within his budget.

False

 A cubic foot would be 12 x 12 x 12 = 1728 cubic inches

2% = 0.02

700 * 0.02 = 14

 14 students have red hair

Answer:

There are 14 students at Hamilton Middle School having red hair.

Step-by-step explanation:

The total number students at Hamilton Middle School is 700. And it has been given that 2% of the total number of students have red hair.

Hence, in order to find the number of students having red hair, we can find 2% of 700.

[tex]\text{Number of student having red hair}=0.02\times 700\\=14[/tex]

Therefore, 14 students at Hamilton Middle School have red hair.

Answer:

∠BAC = 45° is the measure.

Step-by-step explanation:

In a square all sides are equal and all the angles are 90°.

We have to measure the angle BAC.

since both the sides AB and BC of the triangle BAC are equal. Therefore angles opposite to these sides ∠BAC and ∠ACB will be equal.

Since ∠BAC + ∠ACB + 90° = 180° ( Sum of all angles of ΔABC = 180°)

∠BAC + ∠BAC + 90° = 180°(∠BAC = ∠ACB)

2∠BAC = 180 -90 = 90°

∠BAC = 90/2 = 45°

∠BAC = 45° is the answer.

Its 19 bro.

Hope this helps

~Onyx~

Becky bought 6 dried apples and 4 dried apricots if Becky bought seven more packages of dried apples than dried apricots. If she bought fifteen of these two fruits altogether.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Becky bought seven more packages of dried apples than dried apricots.

Let x be the number of dried apples

Let y be the number of dried apricots

x = y + 7

She bought fifteen of these two fruits all together

x + y = 15

The above two equation represents the linear equation in two variables, solving the linear equation in two variables by the substitution method:

y + 7 + y = 15

2y = 15 - 7

2y = 8

y = 8/2

y = 4

x = 4 + 2 = 6

Thus, Becky bought 6 dried apples and 4 dried apricots if Becky bought seven more packages of dried apples than dried apricots. If she bought fifteen of these two fruits altogether.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

Answer:- D is the right answer. 'Feet' is most appropriate unit to measure this distance.

Explanation:-

Given distance =.

[tex]=8.5\times10^{-2}\text{ miles}=\frac{8.5}{100}\text{ miles}=0.085\text{ miles}[/tex]

We know that the units of length near to the mile is kilometers and feetsuch that 1 mile = 1.6093 km

1 mile = 5280 feet

Thus 'feet' is most appropriate unit to measure this distance.

Then the given distance[tex]=0.085\text{miles}=0.085\times5280\text{ feet}=448.8\text{ feet}[/tex]

To write 3 × [tex]10^{-3}[/tex] power in standard notation, we first will start with

3. Next, we look at the exponent which in this case is negative so we will

have to move the decimal point 3 places to the left.

3. ⇒ 0.003

Therefore, 3 × [tex]10^{-3}[/tex] turned into standard notation is 0.003.

To write 'a hundred and one thousand dollars' in numbers, combine the place values to get $101,000. The number 101 represents 'one thousand' plus 'one hundred,' followed by 'thousand,' which is represented by three zeros after 101.

Writing 'a hundred and one thousand dollars' in numbers involves understanding the place value of numbers and how to represent large numbers. In the decimal number system, the place values increase as powers of 10 from right to left, starting with the 1's place, 10's place, 100's place and so on. When dealing with large numbers, we use the powers of 1000, such as thousand (103), million (106), and billion (109).

To write 'a hundred and one thousand dollars' in numbers, you would write $101,000. Here, 'hundred' refers to the 100's place, and 'one thousand' refers to the 1,000's place. Therefore, you have one thousand plus one hundred, which is '101' followed by the 'thousand' represented by three zeros to make 101,000. When writing amounts in dollars, you use the dollar sign '$' in front of the number.

It's essential to remember that when expressing large numbers in written form, no apostrophes are used for the plurals. Also, in general, we use numerals to express numbers 10 and above, which helps in clarity and readability, especially when dealing with money or scientific notation.

Let

x-------> the time in minutes

y------> the water level in inches

we know that

the slope of the linear equation is equal to

[tex]m=0.75\frac{in}{min}[/tex]

The y-intercept is the value of y when the value of x is equal to zero

In this problem the y-intercept is equal to

[tex]b=1\ in[/tex]

the equation of the line in the slope-intercept form is equal to

[tex]y=mx+b[/tex]

substitute the values

[tex]y=0.75x+1[/tex]

therefore

the answer is

[tex]y=0.75x+1[/tex]

Answer:

[tex]\frac{A1}{A2}[/tex]

Step-by-step explanation:

We are give that the distance travelled by the bird is A1.

And the time taken to fly this distance is A2.

Now we will find the speed with the formula mentioned below:

[tex]Speed=\frac{Distance}{time}[/tex]

Replacing Distance as A1 and Time as A2. We get speed of the bird as

[tex]\frac{A1}{A2}[/tex]

divide total distance by the number od descents they want to do it in

100 / 5 = 20

 so each one should be 20 feet

x=−5; y=−(−5)2−10(−5)+16

y= −25+50+16 = −25+66 = 41

Vertex (−5,4) 

Answer:

Option B and Option D is correct.

The inequalities are among the constraints for the given situation is,

[tex]12x+8y\geq 1000[/tex]  and [tex]x+y\leq 200[/tex]

Explanation:

Let x represents the number of regular ticket sold.

and y represents the number of student ticket sold.

then, 12x represents the regular tickets at $12 each,

and 8y represents the student tickets at $8 each.

As the manager wants to collect at least $ 1000 from the ticket sale or we can say that the manager wants $ 1000 or more from the ticket sale.

then, we have the inequalities for this;

[tex]12x+8y\geq 1000[/tex]

As, the theater can seat at most 200 people or we can also say that the theater can seat 200 or less people .

therefore, the inequalities for this we have;

[tex]x+y\leq 200[/tex]

Therefore, the inequalities are among the constraints for the given situation is,

[tex]12x+8y\geq 1000[/tex]  and [tex]x+y\leq 200[/tex]