A student rounded 3872 to the nearest hundred and to the nearest thousand. The student noticed that the results, 3900 and 4000, were not equal. The student claimed that the two results will never be equal when a number is rounded to the nearest thousand
what TWO numbers could be used to show that the student's claim is incorrect

select TWO correct answers.
A. 43,594
B. 55,962
C. 67,299
D. 72,357
E. 81,974

Answer:

Sam is correct

Step-by-step explanation:

The third side is the one with greatest length. To make a triangle the other two lengths have to be greater than the greatest one when combined.

Hope this Helps.

Answer:

Mike is correct

Step-by-step explanation:

because it has three different side

Answer:

15

Step-by-step explanation:

First we can make an equation by replacing the unknown number with x :

First step of problem:

x-6

Second part of problem:

4(x-6)

Third part of the problem:

4(x-6)=36

First we can expand the bracket to give us:

4x-24=36

Now we add 24 to both sides:

4x = 60

Now we divide both sides by 4 for our final answer of

x= 15

To check this answer we can put it back into the problem:

4(15-6)=36

4(9)=36

✅

Therefore our answer that was thought was 15.

Answer:

[tex]beinggreat78~here~to~help![/tex]

The price increased by %60. Why? Because 160% of 500 is 800, so that must mean the percent only increased by 60.

-0.5 cannot represent the probability of an event.

Correct option is (A).

This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Arithmetic uses probability to predict how probable certain events are to occur. Probability generally refers to the degree to which something is likely to occur.

As per the given data:

We have to find out that, which of the following numbers CANNOT represent the probability of an event.

Probability of an event = [tex]\frac{Favorable \: Events}{Total \: Number \: of \: Events}[/tex]

Favorable events or total number of events can never be negative, hence the probability of any event cannot be negative.

So from the above reasoning we can say that -0.5 cannot represent the probability of an event.

Hence, -0.5 cannot represent the probability of an event.

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Answer:

(D) 29.3

Step-by-step explanation:

The answer is all the days added together and then divided by 10.

20+30+40+38+25+22+39+22+26+31=293.

293/10=29.3

Answer:

Step-by-step explanation:

Step: 1: Convert mixed fraction to improepr fraction.

Step: 2 : Find the LCM of 4 , 5 = 20

Step 3: Find equivalent fractions with denominator as 20

Step 4: Now subtract.

[tex]3\dfrac{1}{4}-1\dfrac{3}{5}=\dfrac{13}{4}-\dfrac{8}{5}[/tex]

             [tex]\sf = \dfrac{13*5}{4*5}-\dfrac{8*4}{5*4}\\\\\\ = \dfrac{65}{20}-\dfrac{32}{20}\\\\\\ = \dfrac{65-32}{20}\\\\\\ = \dfrac{33}{20}\\\\ \\ = 1 \dfrac{13}{20}[/tex]

Explanation:

Cosine is positive in quadrants I and IV, but quadrant IV isn't shaded in so we can rule out choice A.

Sine is positive in quadrants I and II. So far it looks like choice B could work. In fact, it's the answer because sin(pi/6) = 1/2 and sin(5pi/6) = 1/2. So if 0 ≤ sin(x) < 1/2, then we'd shade the region between theta = 0 and theta = pi/6; as well as the region from theta = 5pi/6 to theta = pi.

Choice C is ruled out because tangent is positive in quadrants I and III, but quadrant III isn't shaded.

Choice D is ruled out for similar reasoning as choice A. Recall that [tex]\sec(x) = \frac{1}{\cos(x)}[/tex]

Answer:

0 ≤ sin x < 1/2.

Step-by-step explanation:

sin π6 = 1/2

sin 5π/6 = 1/2

sin 0 and sin 180 = 0

The dotted line indicates that the value of the sine is less than 1/2 and the solid line indicates that value  is greater or equal to zero.

So the inequality is 0 ≤ sin x < 1/2

Answer:

1 is 13480851.0638

2 is 20438709.6774

3 is 5812844.0367

Step-by-step explanation:

Answer:  (2x - 3)(x + 8)

Step-by-step explanation:

2x² + 13x - 24 = 0, where is equal ax² + bx + c = 0 form. We get a = 2, b = 13, c = -24.

When a is not equal to 1, we multiply a and c. ac = 2(-24) = -48.

b in the equations means that the sum of two factor of ac is equal to 13. Then we need to find which two factor is add up to 13. In this case, we get -3 and 16.

2x² + 13x - 24 = 0

2x² + 16x - 3x - 24 = 0

2x(x + 8) - 3(x + 8) = 0

(2x - 3)(x + 8) = 0

Answer: x = -8, x = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

       This is a quadratic equation since it is in ax² + bx + c = 0 form! We will use the formula and use PEMDAS, the order of operations, while solving as well.

       The quadradic formula, then plugging in to solve:

(please note before the square root is a ± sign. Brainly text editor will not allow me to add it)

[tex]x = \frac{-b\sqrt{b^{2} -4ac } }{2a}[/tex]

[tex]x = \frac{-13\sqrt{13^{2} -4(2)(-24) } }{2(2)}[/tex]

[tex]x = \frac{-13\sqrt{169 -4(2)(-24) } }{4}[/tex]

[tex]x = \frac{-13\sqrt{169 +192 } }{4}[/tex]

[tex]x = \frac{-13\sqrt{361 } }{4}[/tex]

Now it breaks into two parts:

[tex]x = \frac{-13-19}{4}[/tex]       and       [tex]x = \frac{-13+19}{4}[/tex]

[tex]x = \frac{-32 }{4}[/tex]                  [tex]x = \frac{6}{4}[/tex]

x = -8, x = [tex]\frac{3}{2}[/tex]

Answer:  Yes

Step-by-step explanation:

I hope this makes sense!  : )

Answer:

$14.82

Step-by-step explanation:

14.25 + (4% × 14.25) =

14.25 + 4% × 14.25 =

(1 + 4%) × 14.25 =

(100% + 4%) × 14.25 =

104% × 14.25 =

104 ÷ 100 × 14.25 =

104 × 14.25 ÷ 100 =

1,482 ÷ 100 =

14.82

Answer:

2

Step-by-step explanation:

The graient is 2 as gradient = diffrence of y/diffrence in x

x,y

take two points 1,0 and 2,2 and put them into the equation

2-0/2-1 = 2

Answer:

slope = 2

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 0) and (x₂, y₂ ) = (6, 10) ← 2 points on the line

m = [tex]\frac{10-0}{6-1}[/tex] = [tex]\frac{10}{5}[/tex] = 2

Answer: 5

Step-by-step explanation:

      We can use ratios / proportions to solve for x. I am going to have the shorter segment on the top of our fractions (the numerator), and the longer segments on the bottom (the denominator).

[tex]\frac{10}{10+12} =\frac{4x-5}{33}[/tex]

[tex]\frac{10}{22} =\frac{4x-5}{33}[/tex]

      Now I am going to cross multiply:

10 * 33 = 22(4x - 5)

330 = 88x - 110

440 = 88x

5  = x

x = 5

Answer:

14.7

Step-by-step explanation:

The given horizontal line is in the center of the circle (indicated by the black dot in the middle), so you can divide 17.5 by 2 in order to find the length of the leftmost segment of the triangle (8.75).

To solve for x, we use the pythagorean theorem as this is a right triangle:

[tex]a^{2} + b^{2} = c^{2}[/tex]

[tex]11.8^{2} + 8.75^{2} = x^{2}\\139.24 + 76.5625 = x^{2}\\215.8025 = x^{2}\\x = 14.6902178...[/tex]

This is 14.7 when rounded to the nearest tenth

Answer: 5 ft

Step-by-step explanation: A = bh h = A/b 85/17 = 5

The transformations that would prove that circles A and C are similar are:

The circles are given as:

Circle A and B

Assume the following parameters:

To start with;

The circle A must be reflected across the line y = x with the following transformation rule:

(x,y) -> (y,x)

So, we have:

(2,3) -> (3,2)

Next, the radius of A must be dilated by 3/2 as follows:

New Radius = 3/2 * 2 = 3

After the transformations, we have the following parameters:

Notice that both circles now have the same center and radius.

Hence, both circles are similar

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Answer:

[tex]1.76[/tex] days

Step-by-step explanation:

**Note this propably is not what you are looking for but it gets you the final answer.**

Given the eqaution [tex]y=9^{5x}[/tex]

Lets solve for x.

Step 1.

Rewirte the equation as [tex]y=a^{bx}[/tex]. Where [tex]a=9[/tex]  and [tex]b=5[/tex].

Step 2.

Take the natural logarithm of both sides. Then rewrite the left hand side using properties of exponents/logarithms.

[tex]ln(y)=b*x*ln(a)[/tex]

Step 3.

Divide both sides of the equation by [tex]b[/tex]

[tex]\frac{ln(y)}{b} =x*ln(a)[/tex]

Step 4.

Divide both sides of the equation by [tex]ln(a)[/tex]

[tex]\frac{ln(y)}{b*ln(a)} =x[/tex]

Now we have our equation to solve for the number of days.

Step 5.

Plug [tex]9[/tex] back in for [tex]a[/tex]  and [tex]5[/tex] back in for [tex]b[/tex].

[tex]\frac{ln(y)}{5*ln(9)} =x[/tex]

Step 6.

We are given 243 million for [tex]y[/tex].

Lets plug in 243 million.

[tex]\frac{ln(243,000,000)}{5*ln(9)} =x[/tex]

Step 7.

Solve for x.

[tex]x=1.7575419...[/tex]

Lets round to the hundreth's place.

[tex]x=1.76[/tex]

1.76 days

Answer:

36 in²

Step-by-step explanation:

Area of the figure

Answer:

The answer is 36 ft²

Step-by-step explanation:

Let us divide this whole figure into 2 rectangle, a big and a small.

Rectangle 1: (Small)

(Area 1) = l × b

A = 2 × 3 = 6 square ft

Rectangle 2: (Big)

(Area 2) = l × b

A = 6 × 5 = 30 square ft

Now,

Total Area of figure = Area of Rectangle 1 + Area of Rectangle 2.

Total Area = 6 + 30 = 36 square ft.

Thus, The area of the figure is 36 ft².

Answer:

[tex]6\frac{4}{5}[/tex]

Step-by-step explanation:

[tex]2\frac{7}{10}[/tex] + [tex]4\frac{1}{10}[/tex] = ( 2 + 4 ) + ( [tex]\frac{7}{10}[/tex] + [tex]\frac{1}{10}[/tex] ) = 6 [tex]\frac{7+1}{10}[/tex] = 6 [tex]\frac{8}{10}[/tex] = [tex]6\frac{4}{5}[/tex]

Answer:

a = 51°

b = 67°

Step-by-step explanation:

Angle a is equal to 51 since it is vertically opposite to the angle on top of it.

Angles in a triangle add up to 180 so Angles a,b and 62 should add up to 180:

a+b+62=180

51+b+62=180

b= 180-(51+62)

b= 180-113

b= 67

Answer:

The answer is D

Step-by-step explanation:

I just did this

The figure which has rotational symmetry is figure A.

It is the property of a shape that it looks same after some rotation by a partial turn.

In the figure given first shape has equal length of sides at each direction which means that if we rotates this figure then we will get same looking figure.

In the second figure when we rotates the figure vertically the it will look like a tower.

When we rotates the third figure they also look different.

In the graph figure are shown after some rotation.

Hence among all the figures given first figure has rotational symmetry.

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Using the slope concept, supposing the horizontal distance is of 1500 feet, the angle of depression will be of 37º.

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem, we suppose an horizontal distance of 1500 feet, with a vertical distance of 2000 feet, hence:

[tex]\tan{\alpha} = \frac{1500}{2000}[/tex]

[tex]\alpha = \tan^{-1}{\left(\frac{1500}{2000}\right)}[/tex]

[tex]\alpha = 37^\circ[/tex]

The angle of depression will be of 37º.

More can be learned about the slope concept at https://brainly.com/question/18090623

Answer:

The graph shows a steady declining plot as the aveage traffic volume increases. Since y axis is speed the correct answer is that as traffic volume increases the average vehicle speed decreases.

Step-by-step explanation:

Answer:

2n - 50

n the unknown number

twice  = 2n

50 less than it = 2n - 50

Step-by-step explanation:

Answer:

f(x) = 8 + 0.25x

Step-by-step explanation:

The minimum cost is $8, for up to 4 pounds.

The added cost is ($0.25/oz)(x), where x is trhe ounces over 4 pounds

The total cost is the sum of these two:

f(x) = 8 + 0.25x

Answer:

Your answer is -3

Step-by-step explanation:

Set the functions equal to each other, then solve for the variable.