need help in pre-algebra ​

Need Help In Pre-algebra

Answers

Answer 1

answer:

a. 8 · 10^7 is 4000 times larger than 2 · 10^4

step-by-step explanation:

solve the actual expression firstwrite the expressions in standard form and compare them

8 · 10^7 (or 8 X 10000000) = 80000000

2 · 10^4 (or 4 X 10000) = 20000

now that you have them in standard form, divide them to compare

80000000 / 20000 = 4000

from this, we can tell that 8 · 10^7 is 4000 times larger than 2 · 10^4

Related Questions

Bob bought 40 gumballs from a quarter machine. The number of each flavor he got is shown in the table.
- grape amount 4
- cherry amount 12
- Cola amount 16
- Orange amount 8
If there are 140 gumballs left in the machine, what is a good prediction for the number of cola flavored gumballs left?

Answers

Answer:

56 Cola-flavored gumballs remaining.

Step-by-step explanation:

There are 180 gumballs. Bob purchased 40 gumballs, which leaves 140 gumballs remaining.

There are four flavors. This is the chance (shown as a percentage) of each flavor Bob recieved:

║GR: 4 ⇒ 10%

║CH: 12 ⇒ 30%

║CO: 16 ⇒ 40%

║OR: 8 ⇒ 20%

So, how can we predict the number of Cola flavored gumballs remaining?

[There is a 40% chance of getting a Cola-flavored gumball from the machine. If we find 40% of 140, we can predict that is close to the number of Cola gumballs left in the machine]

║0.40 ⋅ 140 = 56

40% of 140 is 56, so we can predict there are 56 Cola-flavored gumballs remaining.

i need help with number seven with a full explanation please

Answers

The value of x would be 32.

What are a congruent quadrilaterals?

In geometry, two figures are congruent if they have the same size and shape. Congruent figures can be moved or oriented in different ways, but they will always match up exactly. In the case of quadrilaterals, they are congruent when they have the same side lengths and corresponding angles.

In the given figure PQRS ~ WXYZ

x = YZ

x = 32.

Hence, the value of x would be 32.

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By analyzing the figure, The value of x would be 32.

What are a congruent quadrilaterals?

In geometry, two figures are congruent if they have the same size and shape. Congruent figures can be moved or oriented in different ways, but they will always match up exactly. In the case of quadrilaterals, they are congruent when they have the same side lengths and corresponding angles.

In the given figure PQRS ~ WXYZ

x = YZ

x = 32.

Hence, the value of x would be 32.

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Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.

Answers

Step-by-step explanation:

[tex] {x}^{2} + 3x - 5 = 0[/tex]

a =1. b = 3. c = -5

Quadratic equation

[tex]x = \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} \\ = \frac{ - 3 \: + \sqrt{ {3}^{2} \: - 4(1)( - 5) } }{2} \\ = \frac{ - 3 \: + \: \sqrt{29} }{2} [/tex]

Note: the plus sign in the quadratic equation should read "+-"

Therefore, the roots of the quadratic equation are

[tex]\frac{ - 3 \: + \: \sqrt{29} }{2} \: \: and \: \: \frac{ - 3 \: - \: \sqrt{29} }{2} [/tex]

Write answer in scientific notation

Answers

Answer:

5 x 10^7

Step-by-step explanation:

(5 x 10^4)·(1 x 10³) = 5 x 10^7 = 50 million

Describe the likehood of the event given its probability . you make a free throw 70 percent of the time

Answers

Answer:

Yes. 70% is a good percentile, most people understand the workings of a free throw (where you stand on the line, how to place your feet, how to shoot) and standing still gives you an advantage. For the people who don’t understand the workings, they are apart of that 30%.

A circular mirror is surrounded by a square metal frame. The radius of the mirror is 3x. The side length of the metal frame is 15x. What is the area of the metal frame? (Type your answer in factored form. Type an exact answer in terms of pi.


The area of the frame is __ square units

Answers

The area of the frame is 196.73 x²

What is area ?

The size of a patch on a surface is determined by its area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies.

Area is a phrase used to describe how much room a 2D form or surface occupies. Area is measured in square units, such as cm2 or m2. The area of a form is computed by dividing its length by its breadth.

(15x)^2 = 225x^2

Area of the frame

= π (3x)²

= 28.27 x²

Metal area surrounding the frame

225 x² - 28.27 x²

= 196.73 x²

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What is the quotient of 1. 782 x 109 and 8. 1 x 106 expressed in scientific

notation?

Answers

The quotient of 1.782 × 10⁹ and 8.1 × 10⁶ in scientific notation is 2.2 × 10². The result is obtained by using the quotient rule.

What are the rules for exponents?

Several rules for exponents are

Product rule → aⁿ × aˣ = aⁿ⁺ˣQuotient rule → aⁿ / aˣ = aⁿ⁻ˣPower of a product rule → (ab)ⁿ = aⁿ × bⁿPower of a quotient rule → (a/b)ⁿ = aⁿ / bⁿPower of a power rule → (aⁿ)ˣ = aⁿˣZero rule → a⁰ = 1

Find the quotient of 1.782 × 10⁹ and 8.1 × 10⁶!

Dividing the first number by the second using the quotient rule, it would be

= (1.782 × 10⁹) / (8.1 × 10⁶)

= (1.782/8.1) × (10⁹/10⁶)

= 0.22 × 10⁹⁻⁶

= 0.22 × 10³

In scientific notation, we should write a.b × 10ⁿ, where 1 ≤ a < 10 and n is an integer.

So,

0.22 × 10³ = 2.2 × 10²

Hence, the result of 1.782 × 10⁹ divided by 8.1 × 10⁶ in scientific notation is 2.2 × 10².

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What is an equation of the line that passes through the points (-3, -5) and (-3, -8)?

Answers

This is an undefined problem

Answer:

x = -3

Step-by-step explanation:

Hi there!

Typically, linear equations would be organized in slope-intercept form: y=mx+b where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis).

However, notice how the two x-coordinates of the given points are the same. They're both -3. This means that this is a vertical line, and vertical lines are organized in this equation: x=d where d is the x-intercept (the value of x when the line crosses the x-axis).

We know that the x-intercept is -3, since all the x-coordinates of the points that a vertical line passes through are the same. Therefore, the equation of this line is x=-3.

I hope this helps!

what is 5 2/3 x 3/4 equal?

Answers

Answer: 4 1/4

Step-by-step explanation: Decimal= 4.25

Answer:

Exact form: 17/4

Decimal Form: 4.25

Mixed number form: 4 1/4

How do I do this function stuff I’m been kinda confused

Answers

Explanation:

When solving a function, you plug in the given [tex]x[/tex]-value (what's inside the parentheses next to the [tex]g[/tex] or [tex]f[/tex]) into the corresponding equation (what [tex]f(x)[/tex] and [tex]g(x)[/tex] are set equal to).

Before starting the worksheet, take a simpler example:

Given the function [tex]h(x) = x + 2[/tex],

the following work solves for [tex]h(3)[/tex].

[tex]h(3) = 3 + 2[/tex]

[tex]h(3) = 5[/tex]

Essentially, to solve for the value of a function for a given [tex]x[/tex]-value, simply plug in that value in for [tex]x[/tex] and simplify the resulting expression.

Onto problem 14 from the given worksheet:

We are given [tex]f(x) = 3x + 2[/tex] and are asked to solve for [tex]f(4)[/tex].

Hence, all we have to do is plug [tex]4[/tex] in for [tex]x[/tex]:

[tex]f(4) = 3(4) + 2[/tex]

[tex]f(4) = 12 + 2[/tex]

[tex]f(4) = 14[/tex]

You can apply this concept to the rest of the problems.

Triangle DEF was dilated according to the rule DO,One-third(x,y)(one-third x, one-third y) to create similar triangle D'E'F'.

On a coordinate plane, (0, 0) is the center of dilation. Triangle F D E is dilated to create smaller triangle F prime D prime E prime. Triangle F D E has points (negative 9, 3), (negative 9, 9), (negative 6, 6). Triangle F prime D prime E prime has points (negative 3, 1), (negative 3, 3), and (negative 2, 2).

Which statements are true? Select three options.

∠F corresponds to ∠F'.
Segment EE' is parallel to segment FF'.
The distance from point D' to the origin is One-third the distance of point D to the origin.
The measure of ∠E' is One-third the measure of ∠E.
△DEF △D'E'F'

Answers

A. ∠F corresponds to ∠F' is True.

B. Segment EE' is parallel to segment FF' is False.

C. The distance from point D' to the origin is One-third the distance of point D to the origin is True.

D. The measure of ∠E' is One-third the measure of ∠E is False.

E. △DEF ~ △D'E'F' is True.

What is Dilation?

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size.

Given:

As triangle DEF was dilated according to the rule DO, One-third(x, y)(one-third x, one-third y) to create similar triangle D'E'F'.

and, The center of dilation = (0, 0)

Also, Triangle FDE has points: (- 9, 3), (- 9, 9), (- 6, 6).

Triangle F'D'E' has points : (- 3, 1), (- 3, 3), (- 2, 2)

A) ∠F corresponds to ∠F'. ( True)

B) Segment EE' is parallel to segment FF'. (False)

As they intersect each other at the origin.

C) The distance from point D' to the origin is One-third the distance of point D to the origin.    ( True)

Now, the length of DE

D = √(-9-0)² + (-9-0)²

D = 9√2

and, length of D'E'

D = √(-3-0)² + (-3-0)²

D = 3√2

Thus, DE / D'E' =  3√2/  9√2 = 1/3

D) The measure of ∠E' is One-third the measure of ∠E. ( False)

E)  △DEF ~ △D'E'F'.  ( True)

As they are similar triangles.

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Answer:

A. ∠F corresponds to ∠F'.

C. The distance from point D' to the origin is 1/3 the distance of point D to the origin.

E. △DEF ~△D'E'F'

Step-by-step explanation:

got it right on edge 23

Perform the indicated operation. Be sure the answer is reduced.

Answers

Answer:

It's the middle option

Step-by-step explanation:

Please help with this question

Answers

Answer:

92°

Step-by-step explanation:

We can say that the angle that is of x degrees is an inscribed angle because its vertex is on the circle and its sides are made up of rays. When you have an inscribes angle, it measures exactly half the angle it intercepts. In this case that angle is 184°. So, because of this we can say:

x = 184° / 2

x = 92°

9.

Choose the linear inequality that describes the graph. The gray area represents the shaded region.


A. 4x – y ≥ 4

B. 4x + y < 4

C. 4x + y > 4

D. 4x + y ≥ 4

Answers

Answer:

D. 4x + y ≥ 4

Step-by-step explanation:

How do you solve complex fraction equations?

Answers

To solve complex fractions there are two methods -

1 - Divide the numerator by the denominator by multiplying the numerator by the reciprocal of the denominator and then simplify further if necessary.

2 - Multiply the numerator and denominator of the overall complex fractions and then simplify further if necessary.

What is a complex fraction?

A rational expression with a fraction in the numerator, denominator, or both is referred to as a complex fraction.

There are two ways to solve a complex fraction -

Method 1 : Take an example - (1/3-1/4)/(1/8+1/2)

Step 1 - If necessary, combine the denominator and numerator into a single fraction.

Add the numerator -

=1/3-1/4

=(4-3)/12

=1/12

Add the denominator -

=1/8+1/2

=(1+4)/8

=5/8

Combine back to form a complex fraction -

=(1/12)/(5/8)

Step 2: Multiply the numerator by the denominator's reciprocal, then divide the result by the denominator.

Step 3: Simplify the rational expression if necessary.

=(1/12)×(8/5)

=8/60

=2/15

Method 2: Take an example - [(2x+1)/(x^2-25)]/[(4x^2-1)/(x-5)]

Step 1 - Divide the LCD of the smaller fractions by the numerator and denominator of the total complex fractions.

(x^2-25)=(x+5)(x-5)

The denominator of the denominator’s fraction  has the following factor -

(x-5)

Using the highest exponent and combining all the other factors, we arrive at the LCD shown below for all the little fractions -

(x+5)(x-5)

By multiplying the LCD by the numerator and denominator -

=[{(2x+1)/(x+5)(x-5)}×(x+5)(x-5)]/[{(2x+1)(2x-1)/(x-5)}×(x+5)(x-5)]

=(2x+1)/(2x+1)(2x-1)(x+5)

Step 2 - Simplify the rational expression if necessary.

=(2x+1)/(2x+1)(2x-1)(x+5)

=1/(2x-1)(x+5)

Therefore, there are two methods to solve complex fractions.

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if 0°<0<90° and sin0=12/13, find cos0 using trigonometric identities.

• 12/5
• 5/12
• 12/13
• 5/13

Answers

here's the solution,

we know :

[tex] \sin( \theta) = \dfrac{perpendicular}{hypotenuse} [/tex]

So,

[tex] \dfrac{p}{h} = \dfrac{12}{13} [/tex]

so.. let the perpendicular be 12x and hypotenuse be 13x

now,

by applying pythagoras theorem,

[tex]b {}^{2} = h {}^{2} - p {}^{2} [/tex]

where,

b = base h = hypotenuse p = perpendicular

So,

[tex]b {}^{2} = ({13x})^{2} - ({12x})^{2} [/tex][tex] b {}^{2} = 169x {}^{2} - 144x {}^{2} [/tex][tex] {b}^{2} = 25x {}^{2} [/tex][tex]b = 5x[/tex]

so,

[tex] \cos( \theta) = \dfrac{b}{h} [/tex]

[tex] \cos( \theta) = \dfrac{5x}{13x} [/tex]

[tex] \cos( \theta) = \dfrac{5}{13} [/tex]

hope it helps !!

HELPPPPPPPPPPPPPPPPP

Answers

Answer:

1/2 + 1/3 = 3/6 + 2/6 = 5/6

5/6 roughly equals to 0.8

The answer is C

Which of the following best estmates the sum: 1/2 + 1/3

Answer: C) 0.8

what is the volume of cylinder when the radius is 3 and height is 13.33

Answers

[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=13.33 \end{cases}\implies V=\pi (3)^2(13.33)\implies V\approx 376.90[/tex]

Aliyah had $28 to spend on six pencils.After buying them she had $10. How much did each pencil cost?

Answers

Answer:

$3

Step-by-step explanation:

28-10=18

18/6=3

Each pencil cost $3.

First you subtract 28 - 10 which equals 18. This is because you already know Aliyah didn’t spend those $10 on pencils. So it says she bought 6 pencils with $18. To find out how much each pencil cost you divide. 18 divided by 6 equals 3. So each pencil costs $3. I hope this helps!

1) The sum of two numbers is 6. If one number is subtracted from the other, their difference is 4. Find the
numbers.

Answers

Answer:

One number is 5 and the other is 1.

Step-by-step explanation:

Let the numbers be x and y.  Then x + y = 6 and x - y = 4.  We must solve this system of equations:

x + y = 6

x - y = 4

Combining these equations temporarily eliminates y:

x + y = 6

x - y = 4

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

2x     = 10

Then x = 5.  Since x - y = 4,

5 - y = 4

and so y must be 1.

The solution is (5, 1).  One number is 5 and the other is 1.

Karen drew a triangle The longest side of Karen's triangle measures 8 inches What must be true about the lengths in inches a and b of the two shorter sides of Karen'sHow many triangles can be drawn with side lengths 3, 5, and 9

Answers

The 9 inches side must be the hypotenuse, and the other two sides must be 3 inches and 5 inches.

What is hypotenuse in a Triangle?

n a triangle, the longest side (the hypotenuse) is opposite the largest angle, and the other two sides are opposite the smaller angles. According to the Triangle Inequality Theorem, the sum of any two sides of a triangle must be greater than the length of the third side. So, if the longest side of Karen's triangle measures 8 inches, it means that the sum of a and b (the two shorter sides) must be greater than 8 inches. Therefore [tex]a+b > 8 inches[/tex].

For the second part of your question, only one triangle can be drawn with side lengths 3, 5, and 9. The three numbers 3, 5, and 9 form a Pythagorean triple, meaning they can be used as the lengths of the sides of a right triangle. Since the longest side (the hypotenuse) must be greater than the other two sides, the 9 inches side must be the hypotenuse, and the other two sides must be 3 inches and 5 inches.

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—PLEASE HELP QUESTION IS IN THE PIC—

Answers

Answer:

I'm pretty sure the answer is B.

Step-by-step explanation:

so you multiply 3x4 and get 12. Then you multiply 5x11 and get 55. last but not least multiply 12 and 55 and get 660 so yeah hope it helps

Which of the following will cause a logical error if you are attempting to compare x to 5?
Answers:
a. if (x >= 5)
b. if (x = 5)
c. if (x == 5)
d. if (x <= 5)

Answers

Logical Error: In computer programming language, a logic error is a bug or in a program or code that causes it to operate incorrectly, but not to terminate abnormally (or crash).

A logic error developed unintended or undesired output or other behavior, although it may not immediately be recognized as such.

For example, assigning a value to the wrong variable may cause a many of unexpected program errors.

These errors can be programmer mistakes or sometimes machine less memory to load the code.

if(x>=5) {

// program

}

else if(x==5) {

//program

}

else(x<=5) {

//program

}

they all do not give any error.

x=5 gave an error because it is value assigning to 5.

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Please awnswer the question below

Answers

Answer:

- ANTIFRAGILE -

Anti-ti-ti-ti fragile, fragile

Anti-ti-ti-ti fragile

Anti-ti-ti-ti fragile, fragile

(Anti-fragile)

(Anti-fragile)

가시밭길 위로 riding, you made me boost up (ah-ah-ah-ah)

거짓으로 가득 찬 party 가렵지도 않아

내 뒤에 말들이 많아, 나도 첨 듣는 내 rival

모두 기도해 내 falling 그 손 위로 I'ma jump in

Yes, gimme that

걸어봐 위엄 like a lion

눈빛엔 거대한 desire (nan-na-na-eh)

더 부어 gasoline on fire

불길 속에 다시 날아 rising (nan-na-na-eh)

잊지 마, 내가 두고 온 toe shoes

무슨 말이 더 필요해?

무시 마, 내가 걸어온 커리어

I go to ride 'til I die, die

더 높이 가줄게

내가 바랐던 세계 젤 위에 (ah-ah)

떨어져도 돼

I'm anti-fragile, anti-fragile (ah-ah)

난 지금 on my way

갖다버려 줘 너의 fairy tale (ah-ah)

Now you know my name

I'm anti-fragile, anti-fragile

Anti-ti-ti-ti fragile, fragile

Anti-ti-ti-ti fragile

Anti-ti-ti-ti fragile, fragile

(Anti-fragile)

(Anti-fragile)

Lovey, lovey, lovey

Dovey, dovey, dovey

멋대로 정하네 나란 애에 대해

I don't know what to say, I can't feel it

뜨거운 관심은 환영, 귀여운 질투는 go ahead

줄 달린 인형은 no thanks 내 미랠 쓸 나의 노래

Yeah, gimme that

걸어봐 위엄 like a lion

눈빛엔 거대한 desire (nan-na-na-eh)

더 부어 gasoline on fire

불길 속에 다시 날아 rising (nan-na-na-eh)

잊지 마, 내가 두고 온 toe shoes

무슨 말이 더 필요해?

무시 마, 내가 걸어온 커리어

I go to ride 'til I die, die

더 높이 가줄게

내가 바랐던 세계 젤 위에 (ah-ah)

떨어져도 돼

I'm anti-fragile, anti-fragile (ah-ah)

난 지금 on my way

갖다버려 줘 너의 fairy tale (ah-ah)

Now you know my name

I'm anti-fragile, anti-fragile

Anti-ti-ti-ti fragile, fragile

Anti-ti-ti-ti fragile

Anti-ti-ti-ti fragile, fragile

(Anti-fragile)

(Anti-fragile)

We can break it baby

Rock it, twist it, lock it baby

All I know is you can't chain me

'Cause I'm gonna break out

Gonna, gonna break out, out

We can break it baby

Rock it, twist it, lock it baby

All I know is you can't chain me

'Cause I'm gonna break out

Gonna, gonna break out, out (whoa-uh-oh-oh!)

더 높이 가줄게

내가 바랐던 세계 젤 위에 (ah-ah)

떨어져도 돼

I'm anti-fragile, anti-fragile (ah-ah)

난 지금 on my way

갖다버려 줘 너의 fairy tale (ah-ah)

Now you know my name

I'm anti-fragile, anti-fragile

Anti-ti-ti-ti fragile, fragile

Anti-ti-ti-ti fragile

Anti-ti-ti-ti fragile, fragile

(Anti-fragile)

(Anti-fragile)

- song by Le Sserafim

- song title : anti fragile

- stan Le Ssefarim for a better life <3

xoxo

Step-by-step explanation:

you do not have to exsplain

Answers

Answer:

V=87.92

Step-by-step explanation:

v=bh,V=3.14*2*2*7

ORIGINAL ANSWERS PLEASE
A student's course grade is related to class attendance. The grade can be modeled by the equation y = 0.66x + 33.3, where y is the student's grade as a percentage and x is the number of days that the student attended class. For a student who was in attendance for 75 days and has a grade of 82%, find and interpret the residual.

Answers

The residual of the given situation is 0.8

What is residual of a function?

The residual for each observation is the difference between predicted values of y (dependent variable) and observed values of y.

Given that, The grade can be modelled by the equation y = 0.66x + 33.3, where y is the student's grade as a percentage and x is the number of days that the student attended class. We are asked to find residual if student who was in attendance for 75 days and has a grade of 82%,

Finding the actual value,

y = 0.66 × 75 + 33.3

y = 82.8

The predicted value = 82

Residual = actual y value − predicted y value

Therefore,

Residual = 82.8-82 = 0.8

Therefore, y = 0.8

Hence, the residual of the given situation is 0.8

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Help me please and thank you!

Answers

Answer:

-4/3

Step-by-step explanation:

-2 - 1 is -3

6-2 is 4

Jeri had 1 ¾ pounds of gummi worms, which she shared equally with her best friend. How many pounds of gummi worms did they each get? PLZ HELP

Answers

They have 0.875 pounds of gummy each

Just divide by 2

Find the value of c in the triangle shown below.
9
8
Choose 1 answer:

Answers

a^2 = c^2 - b^2

9^2 - 8^2

81-64 = 17

Square root of 17 = 4.12311

So x = 4

There is a mixed group of 100 students and/or teachers; 45 are boys, 55 are girls, and 23 are female teachers. People are selected at random. What is the probability that the person chosen is either a boy or a teacher?

Answers

Answer:

68%

Step-by-step explanation:

Other Questions
Select the correct text in the passage. which sentences in this excerpt from f. scott fitzgerald's "winter dreams" reflect dexters heartlessness? it was strange that neither when it was over nor a long time afterward did he regret that night. looking at it from the perspective of ten years, the fact that judy's flare for him endured just one month seemed of little importance. nor did it matter that by his yielding he subjected himself to a deeper agony in the end and gave serious hurt to irene scheerer and to irene's parents, who had befriended him. there was nothing sufficiently pictorial about irene's grief to stamp itself on his mind. What is common law and how is it created ? What keeps planets in our solar system?A. The elliptical motion of the planets around the sunB. The gravitational force between the Earth and SunC. The magnetic field surrounding the SunD. The electromagnetic radiation from the sun What are the top 5 formulas in math? can someone please help with this question ive been stuck on it for an hour thanks Read the sentence. The university has __________ students attending from other countries. Which word belongs in the blank why does a frog have a dual mode of breathing? HOTS Which of the five "1's" of Romantics is represented in Because I could not stop for Death? Explain how. Sarah and Bryan went shopping and spent a total of $47.50. Bryan spent $15.50 less than Sarah spent. How much did Bryan spend? Categorize all the components involved in photosynthesis as either matter or energy! 3.Which expression is equivalent to 0?A. O a+(-a)B.O a-(-a)C. (a)(-a)D. Popular books written by Henrik Ibsen? 5x6+78-12 help please MODELING REAL LIFE When the average price of an item increases from $p_1$ to $p_2$ over a period of $n$ years, the annual rate of inflation $r$ (in decimal form) is given by $r=\left(\frac{p_2}{p_1}\right)^{1/n}-1$ . Find the rate of inflation for each item in the table. Per pound Per pound 2009 2019Potatoes $0.620 $0.749Oranges $0.910 $1.280Ground beef $2.251 $3.775Potatoes: , or %Oranges: , or %Ground beef: , or % Your lab group accidentally leaves a beaker of 1.00 \space M1.00 M \ce{NaOH}NaOH solution out on the lab table overnight and its volume is decreased to one third the original from evaporation, what is the new molarity Fast cooling rates tends to promote transformations that result in relatively course structures (e.g. for a reaction resulting in multiple product phases, the secondary phase particles are (i) fewer in count (ii) larger in size and (iii) relatively spherical). True or False For most materials, the formation of a glass from a liquid typically requires extremely slow cooling rates, thereby taking on the order of years or even centuries to produce. True or False For a system below its melting point, a glass (or non-crystalline / amorphous) configuration is the most energetically stable state that is possible, since it offers the lowest Gibbs free energy for all possible solid configurations. True or False When measured experimentally, most materials tend to exhibit the same exact temperature value for both melting and freezing (crystallization). True or False Gray iron is a microstructure that tends to result when a cast iron of appropriate composition is cooled fairly quickly. True or FalseCoarsening refers to the scenario where, upon heating and/or annealing for sufficient time, the scale of a microstructure tends to reduce (e.g. grains become smaller, secondary phase particles separate into smaller particles and become more finely dispersed, often reverting to high aspect ratio or high surface-area-to-volume ratio configurations. True or False An organism that uses energy from sunlight to produce food.A. FOOD WEBB. FOOD CHAIN C.PRODUCERD. CONSUMER Why do you think the Latino population in places like Alaska, Minnesota, and Oklahoma is growing faster than in other parts of the United States? how did African Americans help the unionin the war effort one study reported in the text showed that the strngest correlation between congressional voting and constituency opinion was in the area of