17 Which is a true statement? Standard 8.3
A All rational numbers are whole numbers.
B All irrational numbers are integers.
C All negative integers are irrational numbers.
D All positive integers are rational numbers.
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The volume of the box that can be filled with a volume of macaroni 25cm by 5cm by 4cm is calculated to be 625 cubic centimeters.

The volume of a rectangular box is calculated by multiplication of its three dimensions which are the length, width, and height . That is Length × Width × Height in the same units.

volume of the macaroni = 25cm × 5cm × 4cm

volume of the macaroni = 500 cm³

given that the box will be filled 4/5 of the way with macaroni, then;

volume of the box = (500 × 5)/4

volume of the box = 2500/4

volume of the box = 625

Therefore, the volume of the box that can be filled with a volume of macaroni 25cm by 5cm by 4cm is calculated to be 625 cubic centimeters.

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The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

$5160

Step-by-step explanation:

Each year, he earns 5% of 8600 = 0.05 * 8600 = $430

After 12 years, she will earn 12 * 430 = $5160 in interest

Answer:

2x (2x³ + 1)

Step-by-step explanation:

To get the answer factor 2x^1 / 2x of ( 4x^4 + 2x )

When you factor an expression, you are looking for a number which can perfectly divide into another number.

Remember that the numerical timetable states that (2 x 2 = 4).

And we already know that (2 divided by 4 = 2), as well as, that any rational number divided by itself is equal to 1

Therefore the value 2x is divisible by itself and is also divisible by 4x^4 exactly two times

Note: the reason why (4x^4 ÷ 2x ) becomes (2x³), is that you have to subtract the exponents of each term from each other after you finish dividing.  So ( X^4 - X^1 = X^3) -

Always remember that any term in a polynomial expression which doesn't have a visible power attached to it is already at the first power

Step-by-step explanation:

the area (length × width) is

A = (x² - 4)/2x in² = (x + 2)(x - 2)/2x

length = (x + 2)²/2 = (x + 2)(x + 2)/2

width = A/length = 2(x+2)(x-2) / 2x(x+2)(x+2) =

= (x-2)/x(x+2) = (x-2)/(x²+2x)

Answer:

B and D

Step-by-step explanation:

Both B and D cross over the point (4, 8) therefore they share the solution (4, 8)

The rate (in km/h) at which the distance from the plane to the radar station is increasing a minute later is 0 km/h (rounded to the nearest whole number).

To solve this problem, we can use the concepts of trigonometry and related rates.

Let's denote the distance from the plane to the radar station as D(t), where t represents time. We want to find the rate at which D is changing with respect to time (dD/dt) one minute later.

Given:

The plane is flying with a constant speed of 360 km/h.

The plane passes over the radar station at an altitude of 1 km.

The plane is climbing at an angle of 30°.

We can visualize the situation as a right triangle, with the ground radar station at one vertex, the plane at another vertex, and the distance between them (D) as the hypotenuse. The altitude of the plane forms a vertical side, and the horizontal distance between the plane and the radar station forms the other side.

We can use the trigonometric relationship of sine to relate the altitude, angle, and hypotenuse:

sin(30°) = 1/D.

To find dD/dt, we can differentiate both sides of this equation with respect to time:

cos(30°) * d(30°)/dt = -1/D^2 * dD/dt.

Since the plane is flying with a constant speed, the rate of change of the angle (d(30°)/dt) is zero. Thus, the equation simplifies to:

cos(30°) * 0 = -1/D^2 * dD/dt.

We can substitute the known values:

cos(30°) = √3/2,

D = 1 km.

Therefore, we have:

√3/2 * 0 = -1/(1^2) * dD/dt.

Simplifying further:

0 = -1 * dD/dt.

This implies that the rate at which the distance from the plane to the radar station is changing is zero. In other words, the distance remains constant.

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Answer:

A grocery store sells avocados for $1.25 each. The graph shows the cost for different numbers of avocados.

Drag each list, statement, or equation below to show whether it describes the independent quantity, the dependent quantity, or neither.

Step-by-step explanation:

A paired t-test can be used to determine if there is a difference between the means of the two groups.

YES.

A paired t-test is appropriate for determining if there is a significant difference between the means of two groups when the data is paired or dependent. This test compares the means of two related samples to evaluate if the difference between them is statistically significant.

In a paired t-test, each observation in one group is paired or matched with a corresponding observation in the other group. The test examines the difference between the paired values and determines if that difference is significantly different from zero.

By calculating the t-statistic and comparing it to the critical values from the t-distribution, along with the degrees of freedom, we can assess if there is a significant difference between the means of the two groups.

Therefore, a paired t-test can be used to determine if there is a difference between the means of the two groups.

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The square prism's volume is 135 meter

Either the total number of smaller prisms that make up the composite shape, or its volume. the distinction between a larger prism and a smaller prism that was taken out of it.

A composite shape is a shape that was produced from two or more fundamental shapes. Composite shapes are also referred to as compound and complex shapes frequently.

Any shape that is constructed from two or more geometric shapes is referred to as a composite or compound shape. The triangle and square in the following shape are joined together. The square and the rectangle that make up the blue shape. There are two triangles making up the green shape.

Detailed explanation:

The parameters listed are;

L = 15 meters is the cylinder's length.

D = 7 meters is the cylinder's diameter.

B = 3 meters is the square prism's base length.

Consequently, we have;

The square prism's volume is

= B² x  L

= 3² x 15

= 9 x 15

= 135 meter

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The Intel pays $7,760 to Bally Manufacturing on August 14.

The first step in calculating what Intel Corporation pays Bally on August 14 is to determine the net price of the machinery after the trade discount and the return of $100 due to defects.

The trade discount of 40% is calculated as follows:

Discount = List price × Discount rate

Discount = $13,100 × 0.40 = $5,240

So the net price of the machinery after the trade discount is:

Net price = List price - Discount

Net price = $13,100 - $5,240 = $7,860

After Intel returns $100 of machinery, the cost of the machinery is further reduced to:

Net price after return = Net price - Return

Net price after return = $7,860 - $100 = $7,760

Since the payment terms are 3/10 EOM (end of month), Intel receives a discount of 3% if payment is made within 10 days. The 10-day period begins on August 1 and ends on August 10 (the payment due date). Since Intel pays the bill on August 14, payment is late and the 3% discount does not apply.

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Answer:12

Step-by-step explanation:

The prime factorization of 84 is 2×2×3×7 . The prime factorization of 48 is 2×2×2×2×3 . . Therefore, the GCF is 2×2×3=12

Answer:

the amount of Basil Yamey's capital is £16,480.

Step-by-step explanation:

To calculate Basil Yamey's capital, we need to add up the value of his assets and subtract his liabilities.

The value of his assets is:

Van: £9,000

Market stall: £1,800

Computer: £280

Inventory of goods: £11,200

Cash in hand: £900

Money in the bank: £6,300

Total value of assets = £9,000 + £1,800 + £280 + £11,200 + £900 + £6,300 = £29,480

His liabilities are:

Amount still owed for inventory of goods: £5,000

Amount borrowed from Luca Pacioli: £8,000

Total liabilities = £5,000 + £8,000 = £13,000

Therefore, Basil Yamey's capital is:

Capital = Total value of assets - Total liabilities

Capital = £29,480 - £13,000 = £16,480

So the amount of Basil Yamey's capital is £16,480.

Answer:

Basil Yamey's capital is the total amount of money that he has invested in his business. This can be calculated as the sum of the cost of the assets that he has purchased, minus any outstanding debts, plus any cash or cash equivalents he has on hand.

The cost of the assets that Basil has purchased is:

£9,000 (van) + £1,800 (market stall) + £280 (computer) + £11,200 (inventory) = £21,280

He still owes £5,000 for the inventory, so the total cost of the assets minus the outstanding debt is:

£21,280 - £5,000 = £16,280

He borrowed £8,000, so the total amount of his capital is:

£16,280 + £8,000 = £24,280

He also has cash on hand and in the bank:

£900 (cash) + £6,300 (bank balance) = £7,200

So, Basil Yamey's total capital is £24,280 + £7,200 = £31,480.

Answer:

A= l x w

= 76 x 41

=3116cm^2

Perimeter

(76+41) x 2 =234cm

The answer to the question is 1/3.

There are three possible outcomes: 5, 6, or 7.

Out of these three outcomes, only two satisfy the condition of being odd or greater than 6: 7.

Therefore, the probability of picking a card that is odd or greater than 6 is 1/3, or approximately 0.333 or 33.3%.

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Using implicit differentiation dy/dx = -(2x + y)/(x + 2y) and d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³.

Implicit differentiation is the process of differentiating an equation in which it is not easy or possible to express y explicitly in terms of x.

Given the equation x² + xy + y² = 5,

we can differentiate both sides with respect to x using the chain rule as follows:

2x + (x(dy/dx) + y) + 2y(dy/dx) = 0

Simplifying this equation yields:

(x + 2y)dy/dx = -(2x + y)

Hence, dy/dx = -(2x + y)/(x + 2y)

Next, we need to find d^2y/dx^2 by differentiating the expression for dy/dx obtained above with respect to x, using the quotient rule.

That is:

d/dx(dy/dx) = d/dx[-(2x + y)/(x + 2y)](x + 2y)d^2y/dx² - (2x + y)(d/dx(x + 2y))

= -(2x + y)(d/dx(x + 2y)) + (x + 2y)(d/dx(2x + y))

Simplifying this equation yields:

d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³

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The given information tells us that Terry's wins-to-races ratio is 2:3, but we cannot determine the exact number of races he has won without additional information about the total number of races he has participated in.

If the ratio of the number of times Terry has won to the number of races he has swum in is 2:3, we can set up a proportion to determine the number of races he has won.

Let's denote the number of times Terry has won as x, and the total number of races he has swum in as y. According to the given ratio, we have:

x/y = 2/3

To find the value of x, we need to solve for x when y is known. Since y represents the total number of races, we don't have that information in the given problem. Therefore, we cannot determine the exact number of races Terry has won without knowing the total number of races he has participated in.

The ratio tells us the relationship between the number of wins and the total number of races, but without knowing the denominator (total races), we cannot find a specific value for the numerator (number of wins). We can only determine the ratio between the two quantities.

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Answer:

14.5

Step-by-step explanation:

I am smart

Answer:

18 memberships

Step-by-step explanation:

2x+7=43

I think this is the equation but I'm trying to help

Answer:

Step-by-step explanation:

1) f(-4) --> if x < or equal to 3

2) 1/(-4)-4

3) The answer is - 1/8

Mr. Casey's class raised $448 during the fundraiser.

Percentage is simply number or ratio expressed as a fraction of 100.

Given that, Ms. Dawson’s class raised $560, which is 25% more than Mr. Casey’s class raised.

To determine ​how much Mr. Casey’s class raised,

We represent the amount raised by Mr. Casey's class as "x".

Since Ms. Dawson's class raised 25% more than Mr. Casey's class.

To calculate 25% more than x, we can multiply x by 1.25

(since 25% is equivalent to 0.25 in decimal form and 100% is 1) and set it equal to $560.

Hence:

1.25x = 560

To solve for x, we divide both sides of the equation by 1.25:

x = 560 / 1.25

x = 448

Therefore, Mr. Casey's class raised $448.

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Answer:

B. 91000

Step-by-step explanation:

The roof top would be 0. At 12 seconds the ball is at -225.6, which would be the ground so the building would be 225.6 meters tall.

The highest positive value is 81.6, so this is the highest the ball goes up.

The value changes from a positive to a negative between 8 and 10, which means that would be around the time it is the same height as the building.

The answers would be:

The first and third choices

Answer:

20.27

Step-by-step explanation:

Answer:

20.27

Step-by-step explanation:

Answer: The length of each side of the tiles is 7.2 in

Step-by-step explanation:

Answer:

X    |   y

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

-2   |   3

-1   |   0

0   |  -3

1   |  -6

The regression equation is: y = -0.0068824x + 36.8881

So, the correct option is:

D) None of these.

To compute the regression equation based on the given data, we can use the formulas for slope (b1) and y-intercept (bo):

b1 = (NΣXY - ΣXΣY) / \((N\sum X^2 - (\sum X)^2)\)

bo = (ΣY - b1ΣX) / N

Where:

N = Number of data points (in this case, 11)

ΣX = Sum of all X values (prices)

ΣY = Sum of all Y values (average number of pounds sold per day)

ΣXY = Sum of the product of X and Y values

\(\sum X^2\) = Sum of the squares of X values

Using the provided data:

Ex = 210

Xy = 450

Zcy = 10387

Zz = 7275

Xy = 42471

Let's calculate the required values:

N = 11

ΣX = Ex + Zcy + Zz = 210 + 10387 + 7275 = 17872

ΣY = Xy = 450

ΣXY = Xy = 450

\(\sum X^2 = (Ex)^2 + (Zcy)^2 + (Zz)^2 = (210)^2 + (10387)^2 + (7275)^2 = 239208144\)

Now, substitute these values into the formulas to find b1 and bo:

\(b1 = (11 \times450 - 17872 \times 450) / (11 \times239208144 - (17872)^2)\)

= -14112250 / 2050445128

≈ -0.0068824

bo = (450 - (-0.0068824 \(\times\) 17872)) / 11

= (450 + 122.7790368) / 11

≈ 36.8881

Therefore, the regression equation is:

y = -0.0068824x + 36.8881

So, the correct option is:

D) None of these.

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The complete question may be like:

Over a period of one year, retailer sells widgets at 11 different prices. He Calculates the average number of oiunds sold per day at each different price. From theese data, the following are calculated. Ex = 210, Xy = 450, Zcy = 10387, Zz? 7275 Xy? 42471 Compute the regression equation , SELEC A) y 0.20261x + 0.549951 B) y = 0.549951x + 30.410021 C) y = 0.20261. + 30.410021 D) none of these =b1x + bo.

Answer:

I think it the fourth one - _-