Round the nearest thousand 354 605

The answer is 1 7/8. I got this by first looking at the two negatives. Negative times a negative is always a positive.So if you would write this expression again it would look like: -3 1/4 + 5 1/8

Now you find the common denominator which is 8. Convert -3 1/4 to have a denominator of 8: -3 2/8

Now you can convert both of those fractions into improper fractions: -26/8+41/8

Compute: 15/8

You can either leave your answer like that or you can change it into a mixed fraction :

1 7/8

Final answer:

To find the possible coordinates of point A with a known x-coordinate of -7 and a distance of 13 units from point B (5, 2), we used the distance formula and found two possible y-coordinates for point A, which are -3 and 7. Hence, the possible coordinates for point A are (-7, -3) and (-7, 7).

Explanation:

The question asks for the possible coordinates of point A given that point B has coordinates (5, 2), the x-coordinate of point A is -7, and the distance between points A and B is 13 units. To find the y-coordinate of point A, we can use the distance formula d = √((x2 - x1)^2 + (y2 - y1)^2). Substituting the known values, we have:

13 = √((5 - (-7))^2 + (2 - y1)^2)

Squaring both sides of the equation, we get:

169 = (12)^2 + (2 - y1)^2

This simplifies to:

169 = 144 + (2 - y1)^2

Subtract 144 from both sides:

25 = (2 - y1)^2

Now, taking the square root of both sides, we get two possible solutions for the y-coordinate:

y1 = 2 ± 5

Thus, the possible y-coordinates of point A are -3 and 7. Therefore, the possible coordinates for point A are (-7, -3) and (-7, 7).

The integer n can take any value between -45 and 45, satisfying the given inequality |−n| < 46 and leaving a remainder of 4 when divided by 7.

An integer n leaves a remainder of 4 when divided by 7 if it satisfies the given inequality |−n| < 46.

To find the possible values of n, we can solve the inequality.

|-n| < 46 → -n < 46 and -n > -46 → 46 > n > -46.

Therefore, n can take any integer value between -45 and 45, with the condition that it leaves a remainder of 4 when divided by 7.

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Answer:

Step-by-step explanation:

Solution is given in attachment

I did the work, and the quiz.

Your answer is A.

Answer: the equation has no solution.

I really hope this helps :)

-Izzie

2 squared X= 550

x = 550 square root

x=23.45

The solution to the equation [tex]2^x[/tex] = 550 is x ≈ 9.0959.

To solve the equation [tex]2^x[/tex] = 550, we need to isolate the variable 'x'. Here's the step-by-step process:

1. Take the logarithm (base 2) of both sides of the equation:

log2([tex]2^x[/tex]) = log2(550)

Using the property of logarithms, logb([tex]b^x[/tex]) = x, we have:

x = log2(550)

2. In this case, since we want to find x, we can use the logarithm function with base 2:

x ≈ log2(550) ≈ 9.0959

Therefore, the solution to the equation [tex]2^x[/tex] = 550 is x ≈ 9.0959.

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Answer-

The total number of the 80 students responded to the poll.

Solution-

The percentage of student who responded that football was their favorite sport = 27.5%

The percentage of student who responded that basketball was their favorite sport = 17.5%

As the remaining students opted for others, so the percentage of student who opted other sport = 100-(27.5+17.5) = 100-45 = 55%

The number of student who chose others, was found to be 44. If total number of student participated in the opinion poll was x, then

[tex]\Rightarrow x \times\frac{55}{100} =44[/tex]

[tex]\Rightarrow x=44 \times\frac{100}{55}=80[/tex]

∴ The total number of the people who responded to the poll was 80.

Answer:

The correct answer here for [tex]\frac{f(x)}{g(x)}[/tex] is A [tex]\frac{x^8}{3}[/tex]

Step-by-step explanation:

[tex]\frac{f(x)}{g(x)} =\frac{5x^6}{15x^-2}[/tex]

By simplifying,

[tex]\frac{f(x)}{g(x)} =\frac{x^6}{3x^-2}[/tex]

Simplifying the exponents of [tex]x[/tex]

[tex]\frac{f(x)}{g(x)} =\frac{x^8}{3}[/tex]

Therefor the correct answer is [tex]\frac{x^8}{3}[/tex]

Initial amount in Elaine's account = m dollars ---- (1)

On December 8, total money deposited by Elaine = 1200 + r + 568.9

= r + 1768.9 ----- (2)

Total money on her account now = m + r + 1768.9

Total money she cashed by cheques = t + 73.7.

Therefore, her current balance in her account = (m + r + 1768.9) - (t + 73.7)

= (m + r - t) + 1695.2.

Hence, the algebraic expression that represents the amount of money in her account after the transactions is (m + r - t) + 1695.2.

Final answer:

Elaine's checking account balance after her transactions is represented by the algebraic expression m + 1200 + r + 568.90 - t - 73.70, with m being her initial balance, r the amount deposited, and t the amount from the check that was cashed.

Explanation:

Elaine had m dollars in her checking account. After various transactions, we can represent the amount of money in her account with an algebraic expression. The transactions include deposits and cashed checks. The deposits add money to her account, while cashing checks subtract money from her account.

To calculate the new balance, the following expression can be used:

New Balance = original balance + sum of deposits - sum of cashed checks

In Elaine's case, her initial balance is m dollars. She deposited $1,200, r dollars, and $568.90, which are added to her account. She also cashed checks for t dollars and for $73.70, which are subtracted from her account. Therefore, the algebraic expression representing the new account balance after these transactions would be:

m + 1200 + r + 568.90 - t - 73.70

Answer:

No solution

Step-by-step explanation:

Consider the given two lines

2x-y = 7 and 6x-3y = 14

Multiply the first equation by 3

6x-3y = 21 and Ii equation is 6x-3y =14

We observe both are of the 6x-3y = k for different ks

Hence these two are parallel lines.

As parallel lines never meet these line will not meet at all.

There cannot be any solution for this system.

If we subtract 6x-3y = 21 from 6x-3y = 14, we get absurd result as

0 = 7

This confirms that this system cannot be solved.

Answer:

A)-26

Step-by-step explanation:

Answer:

-26

Step-by-step explanation:

By non example of division, it means that example for the situation where division is not possible.

Let x be any real number. We can divide x by any number except 0.

Hence, division by zero is a perfect non example for division.

Answer:

Standard Form

Step-by-step explanation:

we know that

A quadratic function written in standard form is

[tex]y=ax^{2} +bx+c[/tex]

in this problem we have

[tex]y=2x^{2} +5x-1[/tex]  

so

[tex]a=2\\b=5\\c=-1[/tex]

Final answer:

The function y = -2x² + 5x - 1 is written in standard form, which for a quadratic function is ax² + bx + c.

Explanation:

The function given is y = -2x² + 5x - 1. This function is written in standard form, which is characterized by the quadratic term, followed by the linear term, and then the constant term. The general form of a quadratic function is ax² + bx + c, where a, b, and c are constants, and in this case, a is -2, b is 5, and c is -1.

The answer could be 2.64e+20

Answer:

3474

Step-by-step explanation:

28,950/100=289.5  289.5*12=3474

The total commission earned by the saleswomen on the sales of three cars is $3474.

For the given question;

Total commission on the sales of an automobile by saleswomen is 12%.

Total last month sales = $28,950.

Then,

12% of $28,950 is;

= 12 × $28,950 / 100

= $3474

Thus, the total commission earned by the saleswomen on the sales of three cars is $3474.

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The equation of the perpendicular line is y= 4/3x

The equation is given as:

y = -3/4x + 1

The slope of the above equation is;

m = -3/4

Let the slope of the perpendicular line be n.

So, we have:

n = -1/m

This gives

n = -1/(-3/4)

Evaluate

n = 4/3

The equation of the line is then calculated as:

y = n(x - x1)  + y1

This gives

y = 4/3(x - 9) + 12

Evaluate

y= 4/3x - 12 + 12

Evaluate the like terms

y= 4/3x

Hence, the equation of the perpendicular line is y= 4/3x

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The equation of the line that is perpendicular to the line y=-3/4x+1 and passes through the point (9,12) is y = 4/3x + 1.

To solve your question, we first need to identify the slope of the given line. The equation y=-3/4x+1 is in the form y=mx+b, where m represents slope. So, the slope of the given line is -3/4.

But we require an equation that's perpendicular to this line, so its slope will be the negative reciprocal of -3/4, which is 4/3. Now, we have the slope of the new line, and we know it passes through point (9,12).

With that information, we use the point-slope formula, y - y1 = m (x - x1), where m is the slope and (x1, y1) is the point through which the line passes. Here, x1=9, y1=12 and m=4/3. Substituting these values in gives us y - 12 = 4/3 (x - 9). Simplifying yields the equation y = 4/3x + 1, which is the equation of the line that is perpendicular to the given line and passes through the point (9,12).

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Graph the inequality y> 2x +3

Solution

Step 1: To graph the inequality, we need to find a few coordinates and form the table.

Step 2: Forming the table.

Let's take x = -1 and find the value of y.

Plug in x = -1 and find the value of y.

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

When x = -1, the value of y is 1.

So the coordinates are (-1, 1)

Plug in x = 0 and find the value of y.

y = 2(0) + 3 = 3

The coordinates are (0, 3)

Plug in x =1 and find the value of y.

y = 2(1) + 3 = 2 + 3 = 5

The coordinates are (1, 5)

Steo 3: Now let's plot the points and draw the graph.

Since the graph is greater than, we have to draw the dotted lines and shade the region above.

Note: You can find the graph in the attachment.

Thank you :)

Answer:

The integer represents the yards gained or lost on the next play is 9.

The required number line is shown in figure 1.

Step-by-step explanation:

Consider the provided information.

A football team lost 9 yards during a play.

Represent Lost with a negative sign.

Thus, lost of 9 yards can be written as: -9 (As shown in the provided figure)

Now it is given that the team had a combined gain or loss of 0 yards after the next play.

Let they gain or lost x score in next play.

-9 + x = 0

Add both the sides by 9

x = 9

It means team must gain 9 yards.

So, the integer represents the yards gained or lost on the next play is 9.

Now represent this on number line.

Move 9 digit right to -9.

The required number line is shown in figure 1:

the slope is 1/4

and the y intercept is -4

Hope this helps

Answer:

y = -1/4x +4

Step-by-step explanation:

Slope intercept form of a line will have y on the left and mx+c on the right.

y = mx+c

Here m is the slope and c is the intercept

Any form of line can be brought to slope intercept form

Given that 2x+8y =32

We have to keep y along on left side

Hence subtract 2x first

8y =-2x+32

Now divide by 8

y = -1/4x +4 is the equation in slope intercept form

Answer:

x=1/5

Step-by-step explanation:

-5x-(7-4x)=-2(3x-4)

-5x+7+4x=6x-8

-5x+6x+4x=5x    =     8-7=1

5x = 1

1/5 = x

x = 1/5

Answer:

d. ∠2 and ∠6

Step-by-step explanation:

Definition : Alternate Exterior Angles are a pair of angles on the outer side of each of those two parallel lines but on opposite sides of the transversal.

Option a. ∠3 and∠4

These angles are interior angles.

Option b . ∠1 and∠2

These angles are linear pair.

Option c . ∠1 and ∠6

These angles are outer angles

Option d . ∠2 and ∠6

According to the definition of alternate evterior angles . ∠2 and ∠6 are alternate exterior angles

Hence Option d is pair of alternate exterior angles.

Answer:

d. ∠2 and ∠6

Step-by-step explanation:

Hi!

Median:

0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6,

Answer - D. 3

Answer:

[tex]a^0=1[/tex]

Step-by-step explanation:

[tex]a^2\cdota^{-3}\cdota=a^{2+(-3)+1}=a^0=1\ for\ a\neq0[/tex]

Used:

[tex]a^n\cdot a^m=a^{n+m}[/tex]

g(x) = ax²

We have a point (1, 16)

Substitute

x = 1, g(x) = 16

a(1²) = 16

a = 16

g(x) = 16x² = 4²x² = (4x)²

Answer: A. g(x) = (4x)²

Remember that: "Platinum Gym charges a one-time registration fee of $60, and membership is $20 a month."

We are solving for a membership that will make Edward's statement untrue, that the gym membership fee will NOT have a month where the cost is the same.

For example, I can say that:

" Bob's Gym charges a one-time registration fee of $50, and membership is $10 a month ".

In this case, the pricing is much lower than Platinum Gym's and would not have a chance of getting the same cost in the same month.

Another example can be:

" SuperSneaker's charges a one-time registration fee of $100, and membership is $30. "

Again, the cost is much more higher than Platinum Gym's and would not have a chance of getting the same cost in the same month.

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hope this helps

The answer is 216 because we will compute 6^3 = 6*6*6 = 36*6 = 216

If we had 2 dice rolled out, then it would be 6^2 = 6*6 = 36. For each die added, we multiply another 6 because the die has 6 sides.

Visually, 2 dice form a 2D table of 36 possible outcomes. Three dice form a 3D cube of possible outcomes (a 6 by 6 by 6 cube with volume 216). You can think of it like a rubix cube. Each sub-block would house a possible combo such as {2,1,7} meaning that you rolled a '2' on the first die, a '1' on the second die, and a '7' on the third die.

Note: rolling a single die 3 times will produce the same sample space as rolling three separate dice 1 time.

216 is the answer to it