After arguing for two weeks, Seth convinced his parents to have his birthday party at FlyZone trampoline park. As soon as he gets there, Seth spends time practicing flips on the trampolines. Then, he spends
1/2
of an hour eating birthday cake with his friends. In all, Seth spends 1 1/4
hours at FlyZone.
Which equation can you use to find the amount of time t Seth practices flips?

Answers

Answer 1

Answer:

[tex]t + \frac{1}{2} = 1 \frac{1}{4} [/tex]


Related Questions

Rubin has 6 rolls of pennies containing 50 coins each, 5 rolls of nickels
containing 40 coins each, 4 rolls of dimes containing 50 coins each, and 3
rolls of quarters containing 40 coins each. How much money does he have?
A. $68.40
B. $63.00
C. $8.20
D. $17.50

Answers

Answer:

300 cents in pennies

1000 cents in nickles

2000 cents in dimes

3000 cents in quarters

the answer would be B. 63.00

A. Transform F using the rule (x, y) → (-x, y) (1 pt.)
B. Describe the transformation precisely. (1 pt.)
C. Does the transformation result in a a congruent figure? (1 pt.)

Answers

Answer:

A: (-3,4) (-3,6) (-5,6) (-7,4)

B: The transformation would be described as a reflection over the y axis

C:  The transformation does result in a congruent figure because the shape doesn't change in size or shape and in length or width

Step-by-step explanation:

So our plots from the figure are: (3,4)  (3,6)  (5,6)  (7,4)

So using the rule (x, y) → (-x, y) are new points would be:

(-3,4)

(-3,6)

(-5,6)

(-7,4)

This rule (x, y) → (-x, y) is used for the type of transformation that is a reflection but over the y axis.

How much would you need to deposit in an account now in order to have $6000 in the account in 5 years? Assume the account earns 8% interest compounded daily.

Answers

Answer:

$[tex]\frac{6000\cdot \:365^{1825}}{365.08^{1825}}[/tex]

Step-by-step explanation:

[tex]x(1+.\frac{.08}{365})^{5\cdot \:365} =6000[/tex]

[tex]x\frac{365.08^{1825}}{365^{1825}}=6000[/tex]

[tex]x\frac{365.08^{1825}}{365^{1825}}\cdot \:365^{1825}=6000\cdot \:365^{1825};\quad \ne \mathrm{True}[/tex]

[tex]365.08^{1825}x=6000\cdot \:365^{1825};\quad \ne \mathrm{True}[/tex]

[tex]\frac{365.08^{1825}x}{365.08^{1825}}=\frac{6000\cdot \:365^{1825}}{365.08^{1825}};\quad \ne \mathrm{True}[/tex]

[tex]x=\frac{6000\cdot \:365^{1825}}{365.08^{1825}};\quad \ne \mathrm{True}[/tex]

you cannot simplify further because of the high exponents

It is simply extremely hard to do compound interest problems backwards if it gets compounded daily

Mark brainliest please!

Abby has 2.28 pounds of meat. She uses 0.19 pound of meat to make one hamburger. How many hamburgers can Abby make with the meat she has

Answers

Answer: Abby would be able to make 12 hamburgers.

Step-by-step explanation:

You have to divide 2.28 and 0.19 and you would get 12 so the answer is 12.

Katy has a choice. She can buy a book of 6 round trip bus tickets from
Houston to Austin for a total of $522 or she can buy a book of 9 round trip
bus tickets from Houston to Austin for a total of $702. Which is the better
deal? Why?

Answers

Answer:

buying a book of 9 round trip bus tickets from Houston to Austin for a total of $702 is a better deal because 702/9 = 78 which is less than 522/6 = 87

Step-by-step explanation:

FIND THE AREA PLEASE HELP ILL GIVE BRAINLIESTTTT

Answers

Answer:

53.2 square feet

638.4 square inches

Step-by-step explanation:

The formula for area of parallogram is l x w.

91.2 inches to feet is 7.6 feet.

7.6 is the width and 7 is the length.

7.6 x 7 = 53.2

Can someone help with this​

Answers

Answer:

Step-by-step explanation:

Find the horizontal asymptotes by comparing the degrees of the numerator and denominator.

Vertical Asymptotes:

x=1

Horizontal Asymptotes:

y=0

No Oblique Asymptotes

than 100 inches.
8 feet 6 inches
8 feet
0000
3 yards
2 yards 19 inches

Answers

Yo your question is extremely un readable but im gonna assume you are asking what is more than a hundred inches

8 feet 6 inches = 104 inches

8 feet = 96 inches

3 yards = 108 inches

2 yards 19 inches =  91 inches

Levi has a fish tank that holds
8 gallons of water. He wants to fill it
so it is only 3/4 full. How much water,
in gallons, should Levi put in the fish
tank? Explain.

Answers

Answer:

6 gallons because 3/4 is the same as 6/8 so therefore 6 gallons would be 3/4 full

The amount of water in gallons in the fish tank is A = 6 gallons

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

If Levi wants to fill the fish tank so it is only 3/4 full, then he only needs to fill it with 3/4 of its total capacity.

A = (3/4) x 8

On simplifying the equation , we get

A = 6 gallons

Hence , Levi should put 6 gallons of water in the fish tank to fill it to 3/4 of its total capacity

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Is the discriminant of g positive, zero, or negative?

Answers

Answer:

the discriminant of g positive

Step-by-step explanation:

the discriminant of g positive because the graph of g cross the x-axis in two points.

What is the length of AB?

Answers

Answer:

10

Step-by-step explanation:

AB²=8²+6²

=64+36

=100

AB=10

Answer:

10 units

Step-by-step explanation:

Pythagorean Theorem:

a² + b² = c²

6² + 8² = c²

c = √100

10 units

BRAINLIEST please if this helped!

Brenya Estate produces a high quality tea branded Super by blending three types of tea coded A, B and C in the ration 1½ : 5 : 1. Originally Type A tea costs GHS 1,600 type B costs GHS 800 and type C costs GHS 1,700 per Kg to produce. Brenya Tea Estate packs Super tea in packets of 825g each. Blending and packing costs are 40 per Kg. Determine the production cost for a packet of Super tea.

Answers

Therefore, the production cost for a packet of Super tea is $923.91.

Cost calculation

Since Brenya Estate produces a high quality tea branded Super by blending three types of tea coded A, B and C in the ration 1½ : 5 : 1, and originally Type A tea costs GHS 1,600 type B costs GHS 800 and type C costs GHS 1,700 per Kg to produce, and Brenya Tea Estate packs Super tea in packets of 825g each. Blending and packing costs are 40 per Kg, to determine the production cost for a packet of Super tea, the following calculation must be made:

Blending ad packing costs = 40 x 0.825 = 331.5 + 5 + 1 = 7.57.5 = 1001.5 = X1.5 x 100 / 7.5 = 207.5 = 1005 = X5 x 100 / 7.5 = 66.66100 - 66.66 - 20 = 13.3333 + (1600 x 0.2 x 0.825) + (800 x 0.6666 x 0.825) + (1700 x 0.1333 x 0.825) = X33 + 264 + 439.96 + 186.95 = X923.91 = X

Therefore, the production cost for a packet of Super tea is $923.91.

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The best translation for Zimbabwe is:
A. The Temple of God
B. The Ruler on High
C. The House of Rock
D. The Children of the Sun

Answers

Answer:

Zimbabwe is a Bantu word for stone houses so the answer is C

The graph shown compares the number of pages of the same book read by Emily and Serena over time.

How many minutes after Serena started reading would the number of pages read by them be equal?


Answers

Using linear equations, the number of minutes that both would read for them to read equal number of pages is: 30 minutes.

What is the Equation of a Linear Graph?

Equation of a linear graph is given as, y = mx + b, where m and b are the slope and y-intercept of the graph respectively.

Equation for Emily's graph:

Slope (m) = rise/run = 1/3

y-intercept (b) = 2

Substitute m = 1/3 and b = 2 into y = mx + b

y = 1/3x + 2

Equation for Serena's graph:

Slope (m) = rise/run = 2/5

y-intercept (b) = 0

Substitute m = 2/5 and b = 0 into y = mx + b

y = 2/5x + 0

y = 2/5x

To find how many minutes for both of them to read the same number of pages, make both equations equal to each other.

2/5x = 1/3x + 2

2/5x - 1/3x = 2

1/15x = 2

Multiply both sides by 15

x = (2)(15)

x = 30

The answer is 30 minutes for both to read the same number of pages.

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i need help this exact minute
no fake answers, seriously no.

Answers

Answer:

h is the horizontal translation

k is the vertical translation

a is the stretch parallel to the y-axis

Step-by-step explanation:

Parent equation:  [tex]y=x^2[/tex]

Translate [tex]h[/tex] units right:  [tex]y=(x-h)^2[/tex]

(if [tex]h < 0[/tex], then the translation is [tex]h[/tex] units left)

Stretched parallel to the y-axis by a factor of [tex]a[/tex]:  [tex]y=a(x-h)^2[/tex]

(if [tex]a < 0[/tex], the graph is also reflected in the x-axis)

Translated k units up:  [tex]y=a(x-h)^2+k[/tex]

(if [tex]k < 0[/tex] then the translation is k units down)

Example attached for [tex]y=2(x-3)^2+4[/tex]

A theater has 1200 seats. Each row has 20 seats. Write and solve an equation to find the number x of rows in the theater.

An equation that represents this problem is
=1200.

There are
? rows in the theater.

Answers

I believe the answer is 60
1200 divided by 20=60

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

27°

Step-by-step explanation:

SOH CAH TOA

sinx = opposite/hypotenuse

sinx = 10/21  ≈ 0.47619047619 radians

0.47619047619 · (180/π)

≈ 85.71/π

≈ 27°

BRAINLIEST please if this helped!

Repost-9 TOTAL QUESTIONS
#19 (LAST PICTURE)
Which of the following shows a graph of a tangent function in the form y = atan(bx − c) + d, such that b = 2? (Two graphs below, I think one of these graphs are correct)

Answers

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 1 (#3)

The formula for a regular octagon inscribed in a circle of radius [tex]r[/tex] is [tex]A=2\sqrt{2}r^2[/tex]. Hence, [tex]A=2\sqrt{2}(4)^2=16*2\sqrt{2}=32\sqrt{2}\approx45.255m^2[/tex].

Thus, C is the correct answer

Problem 2 (#4)

Using the co-function identity [tex]\displaystyle \sin\biggr(x+\frac{\pi}{2}\biggr)=\cos(x)[/tex], the equation can be rewritten as [tex]cos(x)=\frac{\sqrt{3}}{2}[/tex]. Using a unit circle, it's easy to see that the answer is [tex]\displaystyle\biggr\{\frac{\pi}{6},\frac{11\pi}{6}\biggr\}[/tex].

Thus, C is the correct answer

Problem 3

[tex]f(x)=g(x)\\\\2\sin^2 x-1=-\cos(x)\\\\2(1-\cos^2 x)-1=-\cos(x)\\\\2-2\cos^2 x-1=-\cos(x)\\\\1-2\cos^2 x=-\cos(x)\\\\2\cos^2x-\cos(x)-1=0[/tex]

Let [tex]u=\cos(x)[/tex], hence:

[tex]2u^2-u-1=0\\\\(2u+1)(u-1)=0[/tex]

[tex]\displaystyle2u+1=0\\\\2u=-1\\\\u=-\frac{1}{2}\\ \\\cos(x)=-\frac{1}{2}\\ \\x=\biggr\{\frac{2\pi}{3},\frac{4\pi}{3}\biggr\}[/tex]

[tex]u-1=0\\\\u=1\\\\\cos(x)=1\\\\x=\{0\}[/tex]

So, the solution set is [tex]\displaystyle\biggr\{0,\frac{2\pi}{3},\frac{4\pi}3}\biggr\}[/tex]

Thus, B is the correct answer

Problem 4 (#8)

If we construct a right triangle in Quadrant I with an opposite leg length of 1 unit and an adjacent leg length of 1 unit, this shows that [tex]\displaystyle\tan\theta=\frac{opposite}{adjacent}=\frac{1}{1}=1[/tex]. Since [tex]\displaystyle \csc\theta=\frac{1}{\sin\theta}[/tex] and [tex]\displaystyle\sin\theta=\frac{opposite}{hypotenuse}[/tex], we must solve for the hypotenuse with the Pythagorean Theorem:

[tex](opposite)^2+(adjacent)^2=(hypotenuse)^2\\1^2+1^2=(hypotenuse)^2\\1+1=(hypotenuse)^2\\2=(hypotenuse)^2\\\sqrt{2}=hypotenuse[/tex]

Therefore, since [tex]\displaystyle \sin\theta=\frac{opposite}{hypotenuse}=\frac{1}{\sqrt{2}}=\frac{\sqrt{2}}{2}[/tex], then [tex]\displaystyle \csc\theta=\frac{1}{\sin\theta}=\frac{1}{\frac{\sqrt{2}}{2}}=\frac{2}{\sqrt{2}}=\frac{2\sqrt{2}}{2}=\sqrt{2}[/tex].

Thus, B is the correct answer

Problem 5 (#9)

As no angles are given and only side lengths, we are forced to use the Law of Cosines to solve for the angles:

Side "a" will be the distance from A to B with corresponding angle ASide "b" will be the distance from B to C with corresponding angle BSide "c" will be the distance from C to A with corresponding angle C

Angle A:

[tex]a^2=b^2+c^2-2bc\cos(A)\\400^2=500^2+600^2-2(500)(600)\cos(A)\\160000=250000+360000-600000\cos(A)\\160000=610000-600000\cos(A)\\-450000=-600000\cos(A)\\\frac{3}{4}=\cos(A)\\ A\approx41.410^\circ[/tex]

Angle B:

[tex]b^2=a^2+c^2-2ac\cos(B)\\500^2=400^2+600^2-2(400)(600)\cos(B)\\250000=160000+360000-480000\cos(B)\\250000=520000-480000\cos(B)\\-270000=-480000\cos(B)\\\frac{9}{16}=\cos(B)\\B\approx55.771^\circ[/tex]

Angle C:

By the Triangle Angle-Sum Theorem, [tex]C\approx82.819^\circ[/tex]

Hence, we can conclude that angle A is the smallest angle the swimmers must turn between the buoys.

Thus, C) 41.410° is the correct answer

Problem 6 (#unknown)

As we are given two angles and a side length, we can use the Law of Sines to find side length "b". Firstly, we need angle C so we can set up the proportion to find "b". By the Triangle Angle-Sum Theorem, [tex]m\angle C=60^\circ[/tex].

[tex]\frac{\sin(B)}{b}=\frac{\sin(C)}{c}\\\\\frac{\sin(64^\circ)}{b}=\frac{\sin(60^\circ)}{8}\\\\8\sin(64^\circ)=b\sin(60^\circ)\\\\b=\frac{8\sin(64^\circ)}{\sin(60^\circ)}\\ \\b\approx8.303[/tex]

Thus, B is the correct answer (how ironic lol)

Problem 7 (#13)

[tex]\displaystyle\sqrt{2}\cos2x=\sin^2x+\cos^2x\\\\\sqrt{2}\cos2x=1\\\\\cos2x=\frac{1}{\sqrt{2}}\\\\\cos2x=\frac{\sqrt{2}}{2}\\ \\2x=\frac{\pi}{4},\frac{7\pi}{4}\\ \\x=\frac{\pi}{8},\frac{7\pi}{8}[/tex]

Hence, B is the correct answer

Problem 8 (#14)

[tex]\displaystyle \sec\theta=2\\\\\frac{1}{\cos\theta}=2\\ \\\cos\theta=\frac{1}{2}\\ \\\theta=\frac{\pi}{3}+2\pi n,\frac{5\pi}{3}+2\pi n[/tex]

Thus, D is the correct answer

Problem 9 (#19)

The bottom graph looks correct as the period of the tangent function is [tex]\frac{\pi}{|b|}=\frac{\pi}{2}[/tex].

A rectangular prism is shown.




What is the volume, in cubic MILLIMETERS, of the rectangular prism

Answers

Answer:

1974 mm^3

Step-by-step explanation:

The formula to find the volume of a rectangular prism/cuboid: l x w x h, where l is the length, w is the width and h is the height.

1) Input the values into the formula and solve it.

= 47 x 14 x 3

= 1974 mm^3

Find the value of each determinant:
Help!

Answers

Answer:

Matrix  1:  -4269

Matrix 2:  1768

Matrix 3:  647.3561

Step-by-step explanation:

Matrix 1: [tex](7*19)-(31*142)=-4269[/tex]

Matrix 2:  1768

[tex]\left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right][/tex]

Determinant = [tex]a(ei-fh)-b(di-fg)+c(dh-eg)[/tex]

Matrix 3:  647.3561

[tex]\left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right][/tex]

Determinant = [tex]a(ei-fh)-b(di-fg)+c(dh-eg)[/tex]

Please help me with this question​

Answers

Applying the formula for the area of a sector and length of an arc, the value of k is calculated as: 27.

What is the Area of a Sector?

Area of a sector of a circle = ∅/360 × πr²

What is the Length of an Arc?

Length of arc = ∅/360 × 2πr

Given the following:

Radius (r) = 9 cmLength of arc = 6π cmArea of sector = kπ cm²

Find ∅ of the sector using the formula for length of acr:

∅/360 × 2πr = 6π

Plug in the value of r

∅/360 × 2π(9) = 6π

∅/360 × 18π = 6π

Divide both sides by 18π

∅/360 = 6π/18π

∅/360 = 1/3

Multiply both sides by 360

∅ = 1/3 × 360

∅ = 120°

Find the area of the sector:

Area = ∅/360 × πr² = 120/360 × π(9²)

Area = 1/3 × π81

Area = 27π

Therefore, the value of k is 27.

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What is the surface area of the cylinder with height 4 km and radius 5 km?

Answers

The answer would 282.74km²

A rental car company charges $31.91 per day to rent a car and $0.07 for every mile
driven. Hudson wants to rent a car, knowing that:
• He plans to drive 100 miles.
• He has at most $70 to spend.

Answers

Answer:

1.97 day; 1 day.

Step-by-step explanation:

0.07*100 = 7

31.91x - 7 = 70

70 - 7 = 63

31.91x = 63

63 / 31.91 = 1.97

Hudson can afford to drive the car for 2 days and stay under his budget.

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

We know that it costs $0.07 for every mile driven and we plan to drive 100 miles, that means we can set the inequality as:

31.91x + 0.07(100) ≤ 70

31.91x + 7 ≤ 70

Rearranging the inequality so we have the variable isolated on one side, we get:

31.91x ≤ 63

Divide both sides by 31.91 to get x alone.

x ≤ 1.97430

x ≤ 2

From obtaining the solution, Hudson can afford to drive the car for 2 days and stay under his budget.

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The question seems incomplete, the complete question would be as:

A rental car company charges $31.91 per day to rent a car and $0.07 for every mile driven. Hudson wants to rent a car, knowing that:

• He plans to drive 100 miles.

• He has at most $70 to spend.

Which inequality can be used to determine, the maximum number of days Hudson can afford to rent for while staying within his budget?

THIS IS MY SISTER LAST QUESTION TAKE YOUR TIME1

Answers

Answer:

B

Step-by-step explanation:

[tex][(8+15) \times 3] \div 3\\= \frac{(8+15) \times 3}{3}\\= \frac{8 + 15}{1}\\= 8 + 15 = 23[/tex]

Find f(-3) when f(x) = 2x2 + 3x + 5

Answers

Answer:

-4

Step-by-step explanation:

Answer: If f(x) = -x2 - 3x + 5, then the value of f(-3) is -4.

Answer:

f(-3) = 14

Step-by-step explanation:

f(-3) just means to fill in -3 for x.

2x^2 + 3x + 5

becomes

2(-3)^2 + 3(-3) + 5

Exponent first.

2(9) + 3(-3) + 5

Multiplication

18 + -9 + 5

Add.

14

6
Select the correct answer.
Which of the following is a non-real complex number?
OA. 9-
А.
-
5 — 2√7
4
ОВ.
O C.
-8√ - 3/12
OD.
3√² + √

Answers

Answer:

D

Step-by-step explanation:

In order to find a non-real number we look for a part of the expression that cannot exist.

Answer choice D stands out as you cannot take a square root of a negative number.

That's our answer!

Option D is correct,  the given number 3√(7/5) + √-(9/5)  is a  non real complex number.

What are Complex Numbers?

The complex number is basically the combination of a real number and an imaginary number.

3√(7/5) +√(-9/5) is a non real complex number

We know that a+ib is a complex number where a is real number and b represents the imaginary number

3√(7/5) +√i²(9/5)

3√(7/5) + i√9/5 it is in the form of a+ib.

where a is 3√(7/5) and b is √9/5

3√(7/5) + √-(9/5) is non real complex number

Hence, among the given numbers 3√(7/5) + √-(9/5)  is a  non real complex number.

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Joe read 140 pages of his 300- page book. What percent of the book has he read?

Answers

Answer:

47 percent

Step-by-step explanation:

140/300divide by 347/100percentages are out of 100 so it is 47

Two adjacent angles form a straight angle. Which term best describes these two angles?

1. Supplementary angles.

2. Vertical angles.

3. Corresponding angles.

4. Complementary angles.

Answers

the answer would be supplementary angle, as an angle is supplementary when the measurements add up to 180 degrees

PLEASE HELP ASAP, WILL GIVE BRAINLIEST IF CORRECT

Which line best represents the line of best fit for this scatter plot? Graph shows numbers from 0 to 10 at increments of 1 on the x axis and numbers from 0 to 18 at increments of 2. Scatter plot shows ordered pairs 1, 2 and 2, 6 and 3, 4 and 4, 10 and 5, 8 and 6, 8 and 7, 12 and 8, 10 and 9, 12 and 10, 14. A line labeled P joins ordered pair 0, 2.4 and 9, 18. A line labeled Q joins ordered pairs 0, 2.4 and 10, 18. A line labeled R joins ordered pairs 0, 2.4 and 10, 13.6. A line labeled S joins ordered pairs 0, 2.4 and 10, 10.

Line P
Line Q
Line R
Line S

Answers

Answer:

Line R

Step-by-step explanation:

4 Jackson's mom limits the amount of time he is allowed to play video games. After
Jackson plays for 9 minutes, his mom tells him that he has used up 30% of his time.
How many more minutes can Jackson play before he uses all of his time?
Show your work.
Answer Jackson can play
more minutes.

Answers

Answer:

Jackson can play for 21 more minutes.

Step-by-step explanation:

If 9 minutes = 30% or 0.3

then we can set up a ratio to cross multiply.

(9/30) = (x/100)

then croos multiply and divide to isolate and solve for x.

(9 * 100) / 30 = 30

That means 100% of Jackson's time is 30 minutes.

30 - 9 = 21. So jackson can play for 21 more minutes before he uses all of his time.

But by the time he figures all of this out he'll probably have to turn it off anyways :)

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Decide if the following sentence is grammatically CORRECT or INCORRECT. Ella hablar con su madre. Correct Incorrect How does the text help readers understand the connection between origami and wealth in japan? The voyage to Mecca that Muslims are required to take once in each ones lifetime is called the _____. Qur'an injil hajj hadit national water act 1998 Select True or False for each statement.16.284 rounded to the nearest whole number is 16 feet per second. ?16.284 rounded to the nearest tenth is 16.3. ?16.284 rounded to the nearest hundredth is 16.29. ?HELP ASAP!! The ability of one country to produce a good or service more efficiently than another is called a(n) _____. The chief purpose of probability sampling is to be able to select WILL GIVE BRAINLIEST find the vertex of the parabola y=6x^2 During what geologic epoch did the last glacial advance occur?. 2. How did animators overcome the challenges created by audio technology? A. by avoiding having characters interact with one another at all B. by distributing a script with dialogue to all viewers in the theater C. by showing characters' gestures and reactions in the film D. by having actors say the words live in the theater what art similarities and differences among the statues of David by Donatello and Andrea Del Verrocchio? m paragraph 1, the author states that the leaf walls of aveaver ant nest function as a "built-in HVAC system."How does this statement help readers understand theauthor's viewpoint?O 1. By comparing characteristics of the nest totechnology developed by humans, the authorsuggests that weaver ants build impressivelyIngenious nests.O 2. By mentioning a familiar technology whilediscussing weaver ant nests, the author showsthat the methods weaver ants and humans useto control conditions in living spaces areidentical.03. By mentioning the ability to control thetemperature inside a nest, the authoremphasizes that weaver ants have anextraordinary ability to survive in any type ofenvironmentO 4. By comparing nest-building techniques tobuildidly design techniques, the authoremphasizes that weaver ants can provideinspiration to humans for the development of In a ________, the researcher combines the actual results of a number of studies; the analysis consists of a set of statistical procedures that employ effect sizes to compare a given finding across many different studies. Find the image of the given pointunder the given translation.P(3, -4)T(x, y) = (x-6, y + 5)P' = ([?], [])27 Spicer Dentistry is considering the purchase of a new x-ray machine that costs $24,000 and has a useful life of 10 years. The new machine is expected to reduce operating costs by $4,000 per year. The payback period for the x-ray machine is Which of the following statements best describes paranoid schizophrenia? a. includes aggressive and destructive behaviors b. involves laying motionless for hours c. includes having illusions and hallucinations d. none of the above please select the best answer from the choices provided. a b c d What is constructive and destructive interference? In your own words. jane has twice as many books as Kate. if jane gives 14 books to Kate , they will have the same number of books. how many books do they have altogether?need help plss Mark's age 15 years ago can be expressed as: A force of 61 N is applied to an area of 750 cm2. Calculate the pressure in N/m2. Give your answer to the nearest integer