3) Tom bought eight new baseball trading cards to add to his collection. The next
day his dog ate half of his collection. There are now only twenty-seven-cards left.
How many cards did Tom start with?

Please show steps and it possibly needs to be a multi-step equation but I’m not sure.. thank you in advance!!

The measure of side e is, 16.3 inches.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

In ΔDEF, m ∠E = 54°, d = 14 in., and f = 20 in.

Now, We know that;

⇒ cos E = (d² + f² - e²) / 2df

Substitute all the values, we get;

⇒ cos 54° = (14² + 20² - e²) / 2×14×20

⇒ 0.59 = (196 + 400 - e²) / 560

⇒ 0.59 × 560 = 596 - e²

⇒ 330.4 = 596 - e²

⇒ e² = 596 - 330.4

⇒ e² = 265.6

⇒ e = √265.6

⇒ e = 16.3 inches

Thus, The measure of side e is, 16.3 inches.

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A perfect square can be defined as a number that can be expressed as the product of an integer by itself or as the second exponent of an integer.

The value of N for the given question is 6.

To reach the above solution we need following steps:

Given:

\(\rm 150\times N = Perfect\:square\)

Since 150 is not a perfect square N is not equals to 1.

Putting values starting from 2 on the place of N.

\(150\times2 = 300\\\\150 \times3=450\\\\150\times4= 600\\\\150\times5= 750\\\\150\times6=900\)

Since 900 is a perfect square, the value of N will be 6.

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A perfect square is the product of any positive whole number used as a factor exactly two times. The number six should be multiplied by the 150 to make it a perfect square. Thus least positive whole number which is multiplied by the 150 to make it a perfect square N is 30.

Given-

The given number in the problem which need to be perfect square is 150.

The least positive whole number which is multiplied by the 150 to make it a perfect square is N.

A perfect square is the product of any positive whole number used as a factor exactly two times.

The number 150 needs to be break down in the small integers to get the value of the smallest integer which makes the product of integer and 150 a perfect square.

150 can be written as,

\(150=2\times3\times5\times5\\\)

Two and three remains without the pairs. The product of 2 and 3 is 6.

Six should be multiplied by the 150 to make it a perfect square. Thus

\(=150\times6\\\)

\(=900\)

\(=\sqrt{900}\)

\(=30\)

Hence the number six should be multiplied by the 150 to make it a perfect square. Thus least positive whole number which is multiplied by the 150 to make it a perfect square N is 30.

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The measure of the segment xy of the given right angle triangle is; 36 units

This question can be best understood if the trigonometric ratios are briefly highlighted since it has been used in the question. Cos f is given as 4/9. We know that the cos of an angle is derived as the adjacent divided by the hypotenuse. In other words, the cosine of angle f is given as;

Cos f = Adjacent / Hypotenuse

Thus;

Cos f = 4/9

From the triangle shown in the attachment, the adjacent is XW while the hypotenuse is XY. Hence, the adjacent is 16 units and the hypotenuse is unknown. Since the measurements given in the question are a ratio of the original dimensions, the relationship can be expressed as follows;

4/9 = 16/XY

Where XY is the unknown side

By cross multiplication, you now arrive at,

4XY = 9 * 16

XY = 144/4

XY = 36

Therefore, XY measures 36 units

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The function that the analyst uses is C. the annotate() function

A data analyst examines data to find significant customer insights and potential uses for the information. They also inform the company's management and other stakeholders of this information.

A data analyst is a person whose role it is to collect and analyze data in order to address a particular issue. This function adds geoms to a plot, but unlike typical geom functions, the geoms' properties are passed in as vectors rather than being mapped from variables of a data frame.

In this case, the annotate() function in computer is used by the analyst in this situation. In conclusion, the correct option is C.

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The ranges of the two functions is

f(x): {y| y > 0 }

g(x): {y| y > 6}

we have that

f(x) = (4/5)^x

g(x) = (4/5)^x + 6

using a graph tool

see the attached figure

we know that

f(x) has the horizontal asymptote y = 0

g(x) has the horizontal asymptote y = 6

therefore

the range of f(x) is the interval (0,∞)

the range of g(x) is the interval (6,∞)

the answer is

the range of f(x) is the interval (0,∞)

the range of g(x) is the interval (6,∞)

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The correct question is the attached image

Answer:

-3

because f(x)= y then y =3

therefore if we find point 3 on y axis and then see which point is on the horizontal line of 3 which is -3

hope this helps you.

Answer:

The lowest common denominator is 12

Step-by-step explanation:

Finding the lowest common denominator

Multiples of 6: 6,12,18,24

Multiples of 4: 4,8,12,16,20

The lowest common multiple is 12

The lowest common denominator is 12

The ordered pair of the equation is (1, - 1) or (3, 3).

The ordered pair of the equation is calculated by choosing a value of x and substituting it into the original equation and solving for the value of y as shown below.

The given equation is;

2x - y = 3

let x = 1

Now substitute the value of x into the original equation and solve for y as follows;

2x - y = 3

2 (1) - y = 3

2 - y = 3

y = 2 - 3

y = -1

We can also choose another value of x, say 3;

2(3) - y = 3

6 - y = 3

y = 3

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Answer: 84.39 but i don't know if u had tax or not so-

Step-by-step explanation:

97(.13)

= 12.61

97 - 12.61

= 84.39

Answer:

Points R(4,1) S(7,3) T(6,4) after translation

R(4-3, 1) S(7-3, 3) T(6-3, 4)

R'(1, 1) S'(4, 3) T'(3, 4)

Points R'(1, 1) S'(4, 3) T'(3, 4) after reflection

R''(1, -3) S''(4, -5) T''(3, -6)

Step-by-step explanation:

Answer:Step-by-step explanation:Points R(4,1) S(7,3) T(6,4) after translation R(4-3, 1) S(7-3, 3) T(6-3, 4) R'(1, 1) S'(4, 3) T'(3, 4) Points R'(1, 1) ...

Answer:

4x – 3 + 2x = 33

6x = 36

x = 6

D. x = 6

The quadratic value equation with zeroes at -11 is f(x) = a(x + 11)²

Given data ,

A quadratic function that has -11 as its only zero can be written in the form:

f(x) = a(x - r)²

where "a" is a non-zero constant and "r" is the zero of the function, in this case, -11.

On simplifying the equation , we get

f(x) = a(x - (-11))²

f(x) = a(x + 11)²

Hence , any quadratic function of the form f(x) = a(x + 11)^2, where "a" is a non-zero constant, will have -11 as its only zero

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Answer:

L=65m

W=23m

Step-by-step explanation:

\(3W-4=L\\2L+2W=176\\\\2L+2W=176\\-2L+6W=8\\8W=184\\W=23m\\L=23*3-4=65m\)

The length and width of the rectangle are 63m and 25m.

A rectangle is a quadrilateral, a 2d shape that has four sides and four vertices.

We have,

The perimeter of a rectangle = 176 m

Length of the rectangle = L = 3 x (W- 4 )

Width of the rectangle = W

The perimeter of a rectangle is given by:

176 = 2 ( L + W )

176 = 2 ( 3 ( W - 4 ) + W )

176 = 2 ( 3W - 12 + W )

176 = 2 ( 4W - 12 )

176 = 8W - 24

176 + 24 = 8W

200 = 8W

W = 200 / 8

W = 25 m

Now,

Put W = 25 in L = 3 x ( W - 4 )

L = 3 x ( 25 - 4 )

L = 3 x 21

L = 63 m

We can cross-check:

Perimeter = 2 ( 63 + 25 ) = 2 ( 88 ) = 176 m

Thus the length and width of the rectangle are 63m and 25m.

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After considering the given data we conclude that there truth table is possible and is placed in the given figures concerning every sub question.

A truth table is a overview that projects  the truth-value of one or more compound propositions for each possible combination of truth-values of the propositions starting up the compound ones.
Every row of the table represents a possible combination of truth-values for the component propositions of the compound, and the count of rows is described by the range of possible combinations.
For instance, if the compound has just two component propositions, it comprises  four possibilities and then four rows to the table. The truth-value of the compound is projected on each row comprising the truth functional operator.
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Answer:

p is 16 and N is 49.

Step-by-step explanation:

Answer:

p = 16

n = 49

Step-by-step explanation:

p + n = 65

p + 3.55n = 189.95

To solve this system of equations, you have to use substitution.  This means that you have to set one equation equal to one of the variables.  You then have to substitute that variable into the second equation.

Rearrange the first equation so that it equals p.

p + n = 65

p = 65 - n

Substitute the p-value into the second equation.

p + 3.55n = 189.95

(65 - n) + 3.55n = 189.95

Solve for n.

65 - n + 3.55n = 189.95

65 + 2.55n = 189.95

(65 + 2.55n) - 65 = 189.95 - 65

2.55n = 124.95

(2.55n)/2.55 = 124.95/2.55

n = 49

Use this n-value to solve for p.  You can pick whichever equation you want to solve for p and get the same answer.  I will use the first answer.

p + n = 65

p + 49 = 65

(p + 49) - 49 = 65 - 49

p = 16

There are 16 pounds of almonds and 49 pounds of cashews.

Step-by-step explanation:

To find the factor by which the dimensions of cylinder A were multiplied to produce the corresponding dimensions of cylinder B, we can use the fact that they are similar solids. This means that the ratio of corresponding dimensions is the same for both cylinders.

Since the base of cylinder A has a circumference of 4π units and the base of cylinder B has an area of 9π units, we can use these measurements to find the ratio of the radii of the two cylinders.

The circumference of a circle is given by 2πr, where r is the radius, so the radius of cylinder A is 4π/2π = 2 units.

The area of a circle is given by πr^2, so the radius of cylinder B is sqrt(9π/π) = sqrt(9) = 3 units.

The ratio of the radius of cylinder A to cylinder B is 2/3. Since similar solids have the same ratio for all dimensions, this means that the dimensions of cylinder A were multiplied by a factor of 2/3 to produce the corresponding dimensions of cylinder B.

Answer:

132 square meters

Step-by-step explanation:

You can split the shape into two figures. They both will be parellelograms.

Area of parallelogram: A=bh

11 *6=66

66 *2= 132

Answer: 132 square meters

The cosine of angle J is given as follows:

\(\cos{J} = \frac{14\sqrt{2}}{49}\)

The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the rules presented as follows:

For the angle J in this problem, we have that:

Hence the cosine of angle J is given as follows:

\(\cos{J} = \frac{4}{\sqrt{98}} \times \frac{\sqrt{98}}{\sqrt{98}}\)

\(\cos{J} = \frac{4\sqrt{98}}{98}\)

\(\cos{J} = \frac{2\sqrt{98}}{49}\)

As 98 = 2 x 49, we have that \(\sqrt{98} = \sqrt{49 \times 2} = 7\sqrt{2}\), hence:

\(\cos{J} = \frac{14\sqrt{2}}{49}\)

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Effective annual interest rates: 12.6825% for the first 14 years, 19.56182% thereafter.

Balance in present value: $444,117.28.

Balance in future value: $6,903,087.93.

   The effective annual interest rates for the given operations are 12.6825% for the first 14 years and 19.56182% thereafter. These rates take into account compounding on a monthly basis and reflect the actual annual return on the investments.

To calculate the effective annual interest rate for the first 14 years, we can use the formula: (1+monthly interest rate)12−1(1+monthly interest rate)12−1. Plugging in the monthly interest rate of 1%, we find that the effective annual interest rate is 12.6825%.

For the period after 14 years, the effective annual interest rate can be calculated using the same formula, but with the monthly interest rate of 1.5%. Substituting this value, we obtain an effective annual interest rate of 19.56182%.

   The balance in present value can be calculated as the sum of the present values of the contributions and withdrawals. The present value of a cash flow can be calculated using the formula: FV(1+r)n(1+r)nFV​, where FV is the future value, r is the interest rate, and n is the number of periods.

To calculate the balance in present value, we need to determine the present value of the contributions, withdrawals, and future contributions. Applying the formula for each cash flow and summing them up, we find that the balance in present value is $444,117.28.

   The balance in future value can be calculated as the sum of the future values of the contributions and withdrawals. The future value of a cash flow can be calculated using the formula: PV×(1+r)nPV×(1+r)n, where PV is the present value, r is the interest rate, and n is the number of periods.

To calculate the balance in future value, we need to determine the future value of the contributions, withdrawals, and future contributions. Applying the formula for each cash flow and summing them up, we find that the balance in future value is $6,903,087.93.

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Answer:

(1)+(2) Substitute Y from (2) in (1):

X2+(1−X)2=1X2+(1−X)2=1

...

2X(X−1)=02X(X−1)=0

Hense X= 0 or X = 1.

by-step explanation:

Answer: Calculate

Step-by-step explanation: How to calculate the margin of error?

1. Get the population standard deviation (σ) and sample size (n).

2. Take the square root of your sample size and divide it into your population standard deviation.

3. Multiply the result by the z-score consistent with your desired confidence interval according to the following table:

Answer:

10x² + 36x + 18

Step-by-step explanation:

(5x + 3) (2x + 6)

10x² + 30x + 6x + 18

10x² + 36x + 18

\(~~~~~1-x < 5\\\\\implies -x < 5-1\\\\\implies -x < 4\\\\\implies x > -4\\\\\text{Interval notation:}~ (-4, \infty)\)

The best interpretation of the intercept in the given LSR model is: a student who scored a 0 on the midterm is expected to score a 60 on the final exam.

The intercept in a linear regression model represents the value of the dependent variable (final exam score) when the independent variable (midterm score) is equal to 0. In this case, when the midterm score is 0, the LSR model predicts that the final exam score will be 60.

Therefore, option (a) is the correct interpretation of the intercept. It signifies the baseline expectation for a student who didn't perform on the midterm (scored 0) and the anticipated final exam score they would receive (60).

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Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

The rate of change of the distance below the sea level with respect to time is 11 feet per second.

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

We have,

The table has a linear relationship.

We can choose two data from the table.

At time = 15,

Distance below the sea level = 545 feet.

At time = 27,

Distance between the sea level = 677

Now,

The rate of change of the distance below the sea level with respect to time.

Slope:

= (677 - 545) / (27 - 15)

= 132 / 12

= 11 feet per second

Thus,

The rate of change of the distance below the sea level with respect to time is 11 feet per second.

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The rate of change of distance for the submarine is given by 11 feet/sec.

In order to find the slope between two points (x₁, y₁) and (x₂, y₂), take the ratio of the difference of the respective coordinates as (y₂ - y₁)/(x₂ - x₁).

Given that,

The table for distance travelled versus time taken for a submarine.

In order to find the slope, take two values of distance and time from the given table as  380 feet at t = 0 and 545 feet at t = 15.

Now, the slope can be found as,

slope = (545 - 380)/(15 - 0)

         = 165/15

         = 11

Hence, the rate of change of distance below sea level with respect to time is given as 11 feet/sec.

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hmmm divide by the secondary term using xyz as the componet, you can use the calculs formation theory (Rations of XYZ altitude) and use a graphical memorical chart, divide by the scale factor of the graphical line. than, you can use the geometry 1 2 formula (Learn it in 2 year of high school)

Answer:

4k+2 (when k=6)

5k+6 (when k=4)

Step-by-step explanation:

Answer:

14

12

Step-by-step explanation:

Just run through possible even numbers up till 26.

14 + 12 = 26 and they are two consecutive even numbers

Answer:

8 mil/sec

Step-by-step explanation:

64 divided by 8

Answer:

There is no separation (distance) between the first y-intercept (6) and the second (6).

Step-by-step explanation:

We'll assume that the table shows points on a straight line.

If we go from x = 2 to x = 8 (an increase of 6), the corresponding y values go from y =2 to y = -10 (a decrease of 12).  Thus, the slope of the line represented by the table is

m = rise / run = -12/6, or m = -2.

We need to find the equation of the line represented by the table, so that we can know the y-intercept.  Start with y = mx + b and substitute -2 for m:

y = -2x + b.  We arbitrarily choose an ordered pair from the table, such as (11, -16).  Here we substitute 11 for x and -16 for y:

-16 = -2(11) + b, or

-16 = -22 + b, which yields b = 6.

This is the same y-intercept as the '6' in the given f(x) = -2x + 6.  So:  There is no separation (distance) between the first y-intercept (6) and the second (6).