A small treasure chest is in the shape of a rectangular prism.
The length of the chest is y feet, the width ½ y feet, and the height
2y feet. The chest holds 8 cubic feet of treasure. What are the
dimensions of the treasure chest?

Answer:

Los Angeles

Step-by-step explanation:

If you convert the scientific notation of Chicago (2.3x10³) to regular notation, that would be 2,300 km. Which is further out than LA.

The coordinates of the vertices of the figure after the given transformation are H' (−4, -3), I'(−1, -5), J(−4, 0)

The coordinates of the vertices of the figure are given as:

H(−4, 3), I(−1, 5), J(−4, 0)

The transformation is given as:

A reflection across the x-axis

The rule of reflection across the x-axis is

(x, y) = (x, -y)

When the above rule is applied on the coordinates of the vertices of the figure, we have:

H' (−4, -3), I'(−1, -5), J(−4, 0)

Hence, the coordinates of the vertices of the figure after the given transformation are H' (−4, -3), I'(−1, -5), J(−4, 0)

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The expansion of the expression given as y^4 is y^4 = y * y * y * 4

The expression is given as:

y^4

According to the exponent law of indices, we have

x^n = x * x * x * ..... *xn

This means that, the expansion of the expression given as y^4 is

y^4 = y * y * y * 4

Hence, the expansion of the expression given as y^4 is y^4 = y * y * y * 4

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Answer: y * y * y * y

Step-by-step explanation:

y is being multiplied by itself four times

Answer:

16

Step-by-step explanation:

Step 1. Plug the numbers into the equation

Step 2. Solve using PEMDAS

[tex]\frac{6 ( 6 + 2)}{3}[/tex]

[tex]\frac{6 ( 8 )}{3}[/tex]

[tex]\frac{48}{3}[/tex]

16

Answer:

6(a+c)÷b

6(6+2)÷3

6×8÷3

48÷3

16 Ans

Step-by-step explanation 16is the answer

Answer:

y = -4

Step-by-step explanation:

y = x² + 3x -2

y = (-2)² + 3(-2) - 2

y = 4 - 6 - 2

y = -4

I hope this helps!

The slope of the line AB which passes through the points (4, 5) and B(9, 7) is 2/5.

According to the given question.

We have a line AB containing the points A(4, 5) and B(9, 7).

Here, we have to find the slope of line AB.

As we know that, as we know that, the slope of a line is the ratio of the amount that y increases as x increases some amount.And the slope formula is m=(y2-y1)/(x2-x1) if a lines passes through the point (x2, y2) and (x1, y1).

Therefore, the slope of the line AB which passes through the points (4, 5) and B(9, 7)

= (7 - 5)/(9 - 4)

= 2/5

Hence, the slope of the line AB which passes through the points (4, 5) and B(9, 7) is 2/5.

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Answer:

C

Step-by-step explanation:

m² + n²/p² = 1  is not equation of triangle

Solution :

Triangle :

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted. Equilateral triangle.

Pythagorean triples are any three positive integers that completely satisfy the Pythagorean theorem. The theorem states that in any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two legs of the right triangle.

m² + n²/p² = 1

Pythagorean triples are a set of 3 positive numbers that fit in the formula of the Pythagoras theorem which is expressed as, a2 + b2 = c2, where a, b, and c are positive integers. Here, 'c' is the 'hypotenuse' or the longest side of the triangle and 'a' and 'b' are the other two legs of the right-angled triangle. The Pythagorean triples are represented as (a,b, c). The most popular example of Pythagorean triples is (3, 4, 5). We can verify that 3, 4 and 5 satisfy the equation a2 + b2 = c2. Let us see how! 32 + 42 = 52 ⇒ 9 + 16 = 25. Observe the right-angled triangle given below which shows the Pythagorean triples, 3, 4, and 5.

triangle triplet :

3,4,5

let's try to prove this by using pre define triplet triangle  

m= 3

n=4

p=5

3*3+4*4/5*5= 1

9+16/25= 1

9*25 +16/25 =1

225+16/25=1

9.64[tex]\neq[/tex] 1

this

m² + n²/p² = 1  is not equation of triangle

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We know that ,

1 feet= 0.33 Yard

Given that .

An air conditioning circulate 1 cubic foot per minutes

So it circulates 0.33 Yards per minute .

13.32 yards per minute

Given that an air conditioning system can circulate 360 cubic feet of air per minute. This is the rate of cubic feet per minute. That is,

Rate = volume/time. Which is

360 = volume/ 1

Volume = 360 cubic feet

Convert cubic feet to cubic yard

1 cubic foot = 0.037 cubic yards

Multiply this by 360

Cubic yards = 360 × 0.037

Cubic yards = 13.32

Therefore, if 360 cubic feet can circulate air per minute, this is equal 360 cubic feet of air per minute. how many cubic yards of air can it circulate per minute​ to 13.32 cubic yards of air which can circulate air per minute​

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Answer:

of answer 22837 if I am correct

According to the question, the four consecutive numbers can be written as :

First = [tex]x[/tex]; Second = [tex]x+2[/tex];  Third = [tex]x+4[/tex]; Fourth = [tex]x+6[/tex]

As per the question, the final expression is :

[tex]2((x+2)+(x+4)) = 3(x)+32[/tex]

[tex]4x+12 = 3x+32[/tex]

[tex]x = 20[/tex]

Therefore, the four values can be calculated by substituting the above value:

[tex]x=20; x+2=22; x+4=24; x+6=26[/tex]

The four consecutive numbers are: [tex]20,22,24,26[/tex]

Substitute the calculated values in the final expression, to check whether the answer is correct or not.

[tex]2(22+24) = 3(20)+32[/tex]

[tex]92=92[/tex]

Therefore, the calculated values are correct.

What are consecutive terms?

Consecutive terms are those terms which follow one sequential order.

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Answer:

yesss

Step-by-step explanation:

yes there similar

i think

pls mark brainliest

The given statement "the quotient of 10 and x​" can be written in the form of an expression as 10/x

An expression in mathematics is a group of numbers, variables, and mathematical operations created in accordance with context-dependent principles.

Expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's sequence of operations and other features.

The given statement "the quotient of 10 and x​" can be written in the form of an expression as shown below.

The quotient of 10 and x​ → 10/x

Hence, The given statement "the quotient of 10 and x can be written in the form of an expression as10/x

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Step-by-step explanation:

21 seconds. pretty sure

Answers in bold

Each answer is in interval notation.

=================================================

Explanation:

The graph is increasing when the curve goes uphill when moving to the right.

This occurs on the interval -2.5 < x < 0 which condenses to the interval notation (-2.5, 0); be sure not to mix this up with ordered pair notation which unfortunately looks identical.

----------

The graph is decreasing when the curve goes downhill when moving to the right.

This happens on two separate intervals of -∞ < x < -2.5 and 0 < x < ∞ which condense to the interval notation (-∞, -2.5) and (0, ∞) respectively.

Joining those two intervals up with the union symbol gets us

(-∞, -2.5) U (0, ∞)

Answer: ---

Step-by-step explanation:

Divide the hight of the stack by 8, multiply that by 12, you should have your answer

Answer:

1 its an obvious answer cause 1+4=5

The order of the fractions in the ascending order is: [tex]\frac{1}{6} < \frac{1}{5} < \frac{8}{25} < \frac{8}{7}[/tex]

Given fractions: 8/7 (eight sevenths), 1/6 (one sixth) , 1/5 (0.2), 8/25 (32%).

Now, here,

Thus, the order of the fractions in the ascending order is: [tex]\frac{1}{6} < \frac{1}{5} < \frac{8}{25} < \frac{8}{7}[/tex]

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By using trigonometric relations, we will see that:

a = 7/2, b = (7*√3)/2

So the correct option is the second option, counting from the top.

Here we have a right triangle where we only know the value of the hypotenuse and one of the angles, and we want to find the measures of both of the legs (also known as cathetus).

Then we will use the two relations:

cos(θ) = (adjacent cathetus to the angle)/(hypotenuse)

With that relation we can find the value of b:

cos(30°) = b/7

cos(30°)*7 = b = (7*√3)/2

The other relation we will use is:

sin(θ) = (opposite angle to the given angle)/(hypotenuse)

With that we can get the value of a:

sin(30°) = a/7

sin(30°)*7 = a = 7/2

Then the correct option is:

a = 7/2, b = (7*√3)/2

Which is the second option, counting from the top.

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Answer:

480-520.

Step-by-step explanation:

4% of 500 = 500 * 4 / 100 = 20

Answer:

2 degrees Celsius

Step-by-step explanation:

I did this by just counting it out:

if the temperature drops 3 degrees every hour, that means we just subtract 3 for every hour after midnight

12:00-11

1:00-8

2:00-5

3:00-2

hope this helps :D

The highest temperature recorded was 415°F(maximum).

At its lowest, the temperature is 385°F(minimum).

The function of absolute value calculates the separation between a point and an origin.

A less-than-compound inequality is represented by:

[tex] |x| \leq a[/tex]

then the solution is

[tex] - a \leq \: x \: \leq \: a[/tex]

according to the question

Temperature T is set to 400°F with a tolerance of 15°F, meaning that the absolute difference between T and 400°F may not be greater than 15°F; in other words:

[tex] |T - 400| \leq \: 15[/tex]

now apply the solution

[tex] - 15 \leq \: T - 400 \leq \:15[/tex]

then simplify this

[tex]T - 400 \ge \: - 15 \\ T \geq \: - 15 + 400 \\ T \geq \: 385[/tex]

[tex]T - 400 \leq \: 15 \\ T \leq \: 15 + 400 \\ T \leq \: 415[/tex]

Hence, The highest temperature recorded was 415°F(maximum).

At its lowest, the temperature is 385°F(minimum).

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A function is defined as a relation between a set of inputs having one output each. The function f(x)=2x+5 is a one-one

A function is defined as a relation between a set of inputs having one output each.

we need to check correspondence of the function f(x) = 2x + 5.

f(x)=2x+5

f'(x)=2

i.e increasing function (one-one).

But it is not onto because f(x) does not take all values in N.

Range of f(x)=Codomain.

It is a one one function.

Therefore the given function f(x)=2x+5 is a one one function.

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For the given number, the digit at ones place is 0 and at tens place is 8.

The tenths place is represented by the first digit following the decimal. The hundredths place is represented by the digit that follows the decimal. Up until there are no more digits, the remaining ones keep the place values filled in.

For the number, 80.97

This number can be written as = 80 + 0.97

The digit at ones place is 0

and digit at tenths place is 8

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Answer:

1/5, 1/6, 3/5.

Step-by-step explanation:

Answer:

1/6, 1/5, 3/5

Does this help?

Answer:

38.2

Step-by-step explanation:

[tex]\boxed{+38.2}\\\\\sf 29 - 0\\= 29(0)\\29(0) - 228(76 \times 3)\\= 62(3)\\62(3) - 608(76 \times 8)\\= 15(2)\\15(2) - 152(76 \times 2)\\= 0[/tex]