Here are six number cards.
-4-2-1,5,6,8
Arrange the cards into three pairs with the same total​

The value of the expression  0.7g - 2.7h at g = 17 and h = 2 is 6.5.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, A numerical expression 0.7g - 2.7h.

Now, The values of the expression at g = 17 and h = 2 can be obtained if we replace these numerical values of g and h.

∴ 0.7g - 2.7h.

= 0.7(17) - 2.7(2).

= 11.9 - 5.4.

= 6.5

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Step-by-step explanation:

$4 no toppings mentioned

Answer: A

Step-by-step explanation:

r = j + 3

We subtitube r to find j,

r = 9          j = 9 + 3 = 12

r = 15         j = 15 + 3 =18

r = 21         j = 21 + 3 = 24    

And we found A as answes.

Answer:

Step-by-step explanation:

Table C is the correct one

The correct statement regarding the probabilities is given as follows:

d. The experimental probability is closer to the theoretical probability for group X than group Y.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.

For the theoretical probability, a coin is equally as likely to be heads or tails, hence for each group they are given as follows:

p = 1/2 = 0.5 = 50%.

The experimental probabilities for obtaining heads in each group are given as follows:

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Using vector calculus:

∇f = \((4z^2, -5xz, -7xy^3)\)

∇×f = \((-35xy^2, 0, 4z)\)

f × ∇f = \((-5x^2y^2z^2, 28x^3y^5z^2, 16x^4y^4z)\)

f ⋅ ∇f = \(16x z^4 - 25x^2y^2z^2 + 49x^2y^6z\)

To find the gradient, curl, cross product, and dot product of the given vector field and scalar field, we can use the standard formulas for vector calculus:

For the vector field f(x,y,z) = (\(4xz^2, -5xyz, -7xy^3z\)), we have:

∇f = (∂f/∂x, ∂f/∂y, ∂f/∂z)

= (\(4z^2, -5xz, -7xy^3\))

To find the curl of f, we compute the determinant of the following matrix:

| i j k |

| ∂/∂x ∂/∂y ∂/∂z |

| \(4xz^2 -5xyz -7xy^3z\) |

This gives:

∇×f = (∂(\(-7xy^3z\))/∂y − ∂(−5xyz)/∂z, ∂(\(4xz^2\))/∂z − ∂(\(-7xy^3z\))/∂x, ∂(−5xyz)/∂x − ∂(\(4xz^2\))/∂y)

= (\(-35xy^2, 0, 4z\))

To find the cross product of f and ∇f, we have:

f × ∇f = det | i j k |

| \(4xz^2 -5xyz -7xy^3z\) |

| \(x^3y^2z x^2y^2 x^3y^2\) |

= (\(-5x^2y^2z^2, 28x^3y^5z^2, 20x^4y^4z - 4x^4y^4z\))

= (\(-5x^2y^2z^2, 28x^3y^5z^2, 16x^4y^4z\))

Finally, to find the dot product of f and ∇f, we have:

f ⋅ ∇f = \(4xz^2 * 4z^2 - 5xyz * 5xz - 7xy^3z * (-7xy^3)\)

= \(16x z^4 - 25x^2y^2z^2 + 49x^2y^6z\)

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Nearly 1,659 feet of granite was tunnelled through to make tunnel no. 6 through the sierra Nevada mountains.

Early snowfall prevented the Central Pacific from starting construction on Tunnel No. 6, or the Summit Tunnel, in August 1865. It was built using a variety of engineering and construction methods and was located more than seven thousand feet above sea level.

When the workmen finally broke through, they discovered that they were only two inches off from the calculations that were used to locate its end points and central shaft. The length of the tunnel that was built through the Sierra Nevada mountains is therefore given as nearly 1,659 feet of granite was tunnelled through to make tunnel no. 6 through the Sierra Nevada mountains.

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The greatest number of people that they may invite and still stay within their budget is 137.5 be people

There are three basic types of equation in mathematics. Namely:

Number of people invited = x

4500 = 100 + 22x

4500 - 100 = 32x

4,400 = 32x

x = 4,400 / 32

x = 137.5

Therefore, the greatest number of people that they may invite and still stay within their budget is 137.5 people

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Answer:

The slope of this line is 1, and the y-intercept is -8.

Step-by-step explanation:

This equation is written in y=mx+b, where m is slope and b is y-intercept. Since -8 is in the position of b, we can tell that it is the y-intercept of this line.

Hope this helps you :)

We are asked to find the proportion of sugar to number of cookies

Sugar = 200g

Number of cookies = 48

proportion of sugar to cookies = 200 : 48

how many cookies he can make with 350 grams of sugar?

let x = number of cookies

proportion of sugar to cookies = 350 : x

equate the proportions

200 : 48 = 350 : x

200/48 = 350/x

cross product

200 × x = 350 × 48

200x = 16800

x = 16800/200

x = 84 cookies

find the number of cookies, y, Ezra can make with x grams of sugar?

y = grams of sugar, x / number of cookies

y = 350/84

y = 4.17x

Therefore,

Ezra can make 84 cookies with 350 grams of sugar

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Answer:

The median and IQR

Step-by-step explanation:

Hope it helps

Therefore, the circumference of the circle is 24π feet.

Circumference is the distance around the edge of a circular object. It is the measurement of the perimeter of a circle. To find the circumference of a circle, you can use the formula C = 2πr, where C is the circumference, π is the mathematical constant pi (approximately equal to 3.14), and r is the radius of the circle (the distance from the center of the circle to any point on its edge).

The formula for the circumference of a circle is:

C = 2πr

Where C is the circumference, π is pi, and r is the radius.

Substituting the given value of radius into the formula, we get:

C = 2π(12) = 24π

Therefore, the circumference of the circle is 24π feet.

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Answer:

Step-by-step explanation:

15 rows adding 4 additional seats to each. Once at end add all seats in rows together for the final answer.

1-25

2-29

3-33

4-37

5-41

6-45

7-49

8-53

9-57

10-61

11-65

12-69

13-73

14-77

15-81

Add all togther. 25+29+33+37+41+45+49+53+57+61+65+69+73+77+81=795

So there are 795 seating capacity.

The price that Maura sell each scarf would be =$33. Maura sells each scarf for $33. That is option A.

To calculate the amount of money that Maura spends on each scarf the following is carried out.

The amount of money that she spends on the scarf material = $5.50

The percentage selling price of each scarf = 600% of $5.50

That is ;

= 600/100 × 5.50/1

= 3300/100

= $33.

Therefore, each price that is sold by Maura would probably cost a total of $33.

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The interest earned increases with higher principal amounts, higher interest rates, and longer time periods.

Principal (P) | Interest Rate (r) | Time Period (t) | Interest Earned (I)

$1,000 | 2% | 1 year | $20

$5,000 | 4% | 2 years | $400

$10,000 | 3.5% | 3 years | $1,050

$2,500 | 1.5% | 6 months | $18.75

$7,000 | 2.25% | 1.5 years | $236.25

To calculate the interest earned (I), we can use the simple interest formula: I = P * r * t.

For the first row, with a principal of $1,000, an interest rate of 2%, and a time period of 1 year, the interest earned is calculated as follows: I = $1,000 * 0.02 * 1 = $20.

For the second row, with a principal of $5,000, an interest rate of 4%, and a time period of 2 years, the interest earned is calculated as follows: I = $5,000 * 0.04 * 2 = $400.

For the third row, with a principal of $10,000, an interest rate of 3.5%, and a time period of 3 years, the interest earned is calculated as follows: I = $10,000 * 0.035 * 3 = $1,050.

For the fourth row, with a principal of $2,500, an interest rate of 1.5%, and a time period of 6 months (0.5 years), the interest earned is calculated as follows: I = $2,500 * 0.015 * 0.5 = $18.75.

For the fifth row, with a principal of $7,000, an interest rate of 2.25%, and a time period of 1.5 years, the interest earned is calculated as follows: I = $7,000 * 0.0225 * 1.5 = $236.25.

These calculations show the interest earned for different savings principals, interest rates, and time periods.

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Answer:

Step-by-step explanation:

\( \frac{2}{ \sqrt{3} - 1 } \\ \frac{2}{ \sqrt{3 } - 1} \times \frac{ \sqrt{3} + 1}{ \sqrt{3} + 1} \\ \frac{2 \times ( \sqrt{3} + 1)}{( \sqrt{3} - 1)( \sqrt{3 } + 1) } = \frac{2 \sqrt{3} + 2}{( \sqrt{3} )^{2} - {1}^{2} } \\ \frac{2 \sqrt{3} + 2 }{3 - 1} = \frac{2 \sqrt{3} + 2 }{2} = \frac{2( \sqrt{3} + 1)}{2} \\ \sqrt{3 } + 1 = 1.732 +1 = 2.732\)

\( \frac{2}{ \sqrt{3 - 1} } \\ \frac{2}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{2 \sqrt{2} }{( \sqrt{2} ) ^{2} } = \frac{2 \sqrt{2} }{2} \\ \sqrt{2} = 1.4142\)

I hope I helped you^_^

Answer:

p < -2

Step-by-step explanation:

Answer:

The answer is -2

Step-by-step explanation:

4/5-1/2p>9/5

C.L.T

-1/2p>9/5-4/5

-1/2p>5/5

-1/2p=1

-p/2>1

-p=2

p= -2

Answer:

11500

Step-by-step explanation:

15÷100 = 0.15

0.15 × 10000 = 1500

10000 + 1500 = 11500

Answer:

A

Step-by-step explanation:

inverse means flipping the signs and the numbers of the function

Answer: x - 10/5 = y

Answer:

I think it's not right.

Step-by-step explanation:

The right one is PTA, because you have to go to the right order.

Answer:

24 you used to write about something else

Answer:

Step-by-step explanation:

Answer:

\(|u*v|=\sqrt{14}\)

Step-by-step explanation:

From the question we are told that:

Two vectors

x=i-j+ k

y= 3i +2k

Generally the equation for Matrix of the Parallelogram is mathematically given by

 \(x*y=\)\(\begin{vmatrix}i & j & k\\1 & 1 & 1\\3 & 0 & 2 \end{vmatrix}\)

 \(x*y=i(2-0)-j(2-3)+k(0-3)\)

 \(x*y=2i+j-3k\)

Generally the magnitude of x*y is mathematically given as

 \(|u*v|=|2i+j-3k|\)

 \(|u*v|=\sqrt{2^2+1^2+(-3)^2}\)

 \(|u*v|=\sqrt{14}\)

The angles that are corresponding angles:

∠1 and ∠3

∠5 and ∠7

∠6 and ∠8

We know that when a transversal intersects parallel lines or non-parallel lines then the angles formed at the same relative position at each intersection are nothing but the corresponding angles.

If a transversal intersects parallel lines, then the corresponding angles formed have equal measure.

Wheras if a transversal intersects non-parallel lines, then the corresponding angles formed doesn’t have any relation with each other.

In the following figure we can observe that line p and line q are non-parallel lines and are intersected by transversal r.

From definition of corresponding angles, the pair of corresponding angles:

∠1 and ∠3

∠5 and ∠7

∠6 and ∠8

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Find the complete question below.

Answer:

value of square route of 99 is

3 square route of 11

value of Square Root of 95 = 9.746.

Step-by-step explanation:

Therefore , the solution of the given problem of equation comes out to be  y = 23.78t - 5t²

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

Here,
Given :parametric equation

x be the speed of water

t be the time

v be the speed of dolphin

=> x = (vcosx)t +x₀

=> v = 32

=> x = 48

=> x = (32 X cos 48)t + 0

=> x = 21.41t

thus,

=>  y = (vsintx)t - 1/2gt² + y₀

=>   y₀ = 0

=>  v = 32

=> x = 48

=> g = 10

=> y = (32sin48)t -1/2 *10*t² +0

=>  y = 23.78t - 5t²

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Considering the situation described, the hypothesis tested are given as follows:

At the null hypothesis, it is tested if the standard deviation is not less than $23, that is:

\(H_0: \sigma \geq 23\)

At the alternative hypothesis, it is tested if there is significant evidence t conclude that the standard deviation is less than $23, that is:

\(H_1: \sigma < 23\)

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The measure of central tendency that is used by the professor is; Mode

A measure of central tendency is defined as a single value that attempts to describe a set of data by identifying the central position within that set of data. The types of measures of central tendency are;

1) Mean; This is defined as the average value of a given set of data.

2) Median: This is defined as the midpoint of a frequency distribution of observed values or quantities, such that there is an equal probability of falling above or below it.

3) Mode: This refers to the value in a given set of data that has highest occurrence frequency.

In this case, the professor notes that most students in his class earned a grade of b. Thus, this is the mode.

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Answer:

Perimeter of rectangle = 6√10 units (the attachment isnt clear. It seems the answer is in option B)

Step-by-step explanation:

First we find the distance of the length and width of the rectangle.

Distance between E and F = Distance EF

Distance EF = √(∆y²-∆x²)

= √[(5-7)² + (1-7)²] = √[(-2)² + (-6)²]

= √(4+36) = √40

Distance EF = 2√10

Distance between F and G = Distance FG

Distance FG = √(∆y²-∆x²)

= √[(2-5)² + (2-1)²] = √[(-3)² + (1)²]

= √(9+1) = √10

Distance FG = √10

Length= distance EF = distance HG

And width = distance FG = distance EH

Perimeter of rectangle = 2(length + width)

Perimeter of rectangle = 2(2√10 + √10)

= 2(3√10)

Perimeter of rectangle = 6√10 units (the attachment isnt clear. It seems the answer is in option B)