HELPPPP!!!! (20 points) The table below shows the account balances for four different customer accounts at the City
Bank. Which account balance represents a debt that is greater than $20 and less than $30?
Account Balance (S)
S25
-S34
-$24
$17

Answer:"if you subtract 14 from my number and multiply the difference by -4, the result is -80." What is Sara's number?​. 2. See answers.

2 answers

·

0 votes:

Answer:6Step-by-step explanation:-80/-4=20+14=6

Step-by-step explanation:

Answer:

9 boxes

Step-by-step explanation:

The equation of the path of the parabola is y = a(x - 13)² + 27

Given data ,

To represent the path of Al's toss, we can assume that the path is a parabolic trajectory.

The equation of a parabola in vertex form is given by:

y = a(x - h)² + k

where (h, k) represents the vertex of the parabola

Now , the balloon was released from the 10-yard line and landed at the 16-yard line, we can determine the x-values for the vertex of the parabola.

The x-coordinate of the vertex is the average of the two x-values (10 and 16) where the balloon was released and landed:

h = (10 + 16) / 2 = 13

Since the height of the balloon reached 27 yards, we have the vertex point (13, 27)

Now, let's substitute the vertex coordinates (h, k) into the general equation:

y = a(x - 13)² + k

Substituting the vertex coordinates (13, 27)

y = a(x - 13)² + 27

To determine the value of 'a', we need another point on the parabolic path. Let's assume that the highest point reached by the balloon is the vertex (13, 27).

This means that the highest point (13, 27) lies on the parabola

Substituting the vertex coordinates (13, 27) into the equation

27 = a(13 - 13)² + 27

27 = a(0) + 27

27 = 27

Hence , the equation representing the path of Al's toss is y = a(x - 13)² + 27, where 'a' can be any real number

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Answer:

-2

Step-by-step explanation:

from one point to another, you go down 2 and over 1

Answer:

the answer is -2

Step-by-step explanation:

this is because for every unit it goes to the right it goes down 2 which makes it negitive if it is facing down and positive if facing up.

a. The wind direction is 180 degrees and the wind speed is 5 knots.

b. The wind direction is 168.69 degrees and the wind speed is 8.25 m/s.

c. The wind direction is 93.69 degrees and the wind speed is 6.71 m/s.

d. The wind direction is 45 degrees and the wind speed is 8.49 m/s.

e. The wind direction is 0 degrees and the wind speed is 8 knots.

f. The wind direction is 78.69 degrees and the wind speed is 21.92 m/s.

g. The wind direction is 256.31 degrees and the wind speed is 10.54 m/s.

h. The wind direction is 225 degrees and the wind speed is 4.24 m/s.

a. Given U = -5 knots and V = 0 knots. The wind direction can be calculated using the equation:

wind direction = atan2(U, V) + 180 degrees

Substituting the values, we get:

wind direction = atan2(-5, 0) + 180 degrees = 180 degrees

The wind speed is the magnitude of the (U,V) vector, which is 5 knots.

b. Given U = 8 m/s and V = -2 m/s. Using the same formula as above:

wind direction = atan2(8, -2) + 180 degrees ≈ 168.69 degrees

The magnitude of the (U,V) vector is calculated as:

wind speed = sqrt(U^2 + V^2) = sqrt(8^2 + (-2)^2) ≈ 8.25 m/s

c. Given U = -1 mph and V = 15 mph. Converting mph to m/s:

U = -1 mph * (0.44704 m/s / 1 mph) ≈ -0.45 m/s

V = 15 mph * (0.44704 m/s / 1 mph) ≈ 6.71 m/s

Using the wind direction formula:

wind direction = atan2(-0.45, 6.71) + 180 degrees ≈ 93.69 degrees

The magnitude of the (U,V) vector is:

wind speed = sqrt((-0.45)^2 + 6.71^2) ≈ 6.71 m/s

d. Given U = 6 m/s and V = 6 m/s:

wind direction = atan2(6, 6) + 180 degrees = 45 degrees

wind speed = sqrt(6^2 + 6^2) = 8.49 m/s

e. Given U = 8 knots and V = 0 knots:

wind direction = atan2(8, 0) + 180 degrees = 0 degrees

wind speed = sqrt(8^2 + 0^2) = 8 knots

f. Given U = 5 m/s and V = 20 m/s:

wind direction = atan2(5, 20) + 180 degrees ≈ 78.69 degrees

wind speed = sqrt(5^2 + 20^2) ≈ 21.92 m/s

g. Given U = -2 mph and V = -10 mph:

U = -2 mph * (0.44704 m/s / 1 mph) ≈ -0.89 m/s

V = -10 mph * (0.44704 m/s / 1 mph) ≈ -4.47 m/s

wind direction = atan2(-0.89, -4.47) + 180 degrees ≈ 256.31 degrees

wind speed = sqrt((-0.89)^2 + (-4.47)^2) ≈ 10.54 m/s

h. Given U = 3 m/s and V = -3 m/s:

wind direction = atan2(3, -3) + 180 degrees = 225 degrees

wind speed = sqrt(3^2 + (-3)^2) ≈ 4.24 m/s

In each case, we calculate the wind direction using the atan2 function, which gives the angle in radians. We then convert the angle to degrees and add 180 degrees to obtain the wind direction in meteorological convention. The wind speed is calculated by taking the magnitude of the (U,V) vector using the Pythagorean theorem.

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The z-score of the datum 75.4 is approximately -1.31. Option b is the correct answer.

To calculate the z-score of the datum 75.4, we can use the formula: z = (X - μ) / σ, where X is the given value, μ is the mean, and σ is the standard deviation. Given that μ = 78.2 and σ = 2.13, we can substitute these values into the formula:

z = (75.4 - 78.2) / 2.13

Calculating this expression, we get:

z ≈ -1.31

Therefore, the z-score is approximately -1.31. Hence, option b is the correct naswer.

The z-score is a measure of how many standard deviations a particular data point is away from the mean. To calculate the z-score, we subtract the mean from the data point and divide the result by the standard deviation. In this case, the mean (μ) is 78.2 and the standard deviation (σ) is 2.13. By substituting these values into the z-score formula and performing the calculation, we find that the z-score for the datum 75.4 is approximately -1.31. This negative value indicates that the datum is about 1.31 standard deviations below the mean.

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Answer:

Step-by-step explanation:

A) $15,025.8. is the correct option. Chloe loans out a sum of $1,000 every quarter to her associates at an interest rate of 4%, compounded quarterly. She stand to get $15,025.8. if er loans are repaid after three years.

Chloe loans out a sum of $1,000 every quarter to her associates at an interest rate of 4%, compounded quarterly.

We need to find how much she stands to gain if er loans are repaid after three years.

Calculation: Semi-annual compounding = Quarterly compounding * 4 Quarterly interest rate = 4% / 4 = 1%

Number of quarters in three years = 3 years × 4 quarters/year = 12 quarters

Future value of $1,000 at 1% interest compounded quarterly after 12 quarters:

FV = PV(1 + r/m)^(mt) Where PV = 1000, r = 1%, m = 4 and t = 12 quartersFV = 1000(1 + 0.01/4)^(4×12)FV = $1,153.19

Total amount loaned out in 12 quarters = 12 × $1,000 = $12,000

Total interest earned = $1,153.19 - $12,000 = $-10,846.81

Therefore, Chloe stands to lose $10,846.81 if all her loans are repaid after three years.

Hence, the correct option is A) $15,025.8.

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Using the given data on the number of live multiple-delivery births for women aged 15 to 54, we need to calculate probabilities related to the age groups of the mothers. The probability of a randomly selected multiple birth involving a mother aged 30 to 39 will be determined, as well as the probabilities of not being in the age range, being less than 45, and being at least 40. Finally, we need to interpret whether a multiple birth involving a mother aged at least 40 is unusual.

(a) To calculate the probability of a randomly selected multiple birth involving a mother aged 30 to 39, we sum the number of multiple births in that age group and divide it by the total number of multiple births for women aged 15 to 54.

P(30 to 39) = 2822 / (89 + 508 + 1631 + 2822 + 1855 + 374 + 119)

(b) To find the probability of a randomly selected multiple birth involving a mother who is not aged 30 to 39, we subtract the probability found in part (a) from 1.

P(not 30 to 39) = 1 - P(30 to 39)

(c) To determine the probability of a randomly selected multiple birth involving a mother aged less than 45, we sum the number of multiple births for age groups below 45 and divide it by the total number of multiple births for women aged 15 to 54.

P(less than 45) = (89 + 508 + 1631 + 2822 + 1855 + 374) / (89 + 508 + 1631 + 2822 + 1855 + 374 + 119)

(d) To find the probability of a randomly selected multiple birth involving a mother aged at least 40, we sum the number of multiple births for age groups 40-44 and 45-54, and divide it by the total number of multiple births for women aged 15 to 54.

P(at least 40) = (374 + 119) / (89 + 508 + 1631 + 2822 + 1855 + 374 + 119)

Interpretation: The answer to part (d) will determine whether a multiple birth involving a mother aged at least 40 is unusual. If the probability is less than 0.05, it can be considered unusual. Therefore, we need to compare the calculated probability to 0.05 and select the correct choice.

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The number of possible outcomes is 81

Count of Outcomes :

In the domain of Statistics, the number of possible outcomes for a given help in determining the overall size of the universe of outcomes. From such a universe, one can ascertain the probability or likelihood of desirable outcomes in terms of percentage or fraction.

Let's come to the solution of the question:

Here, the number of possible outcomes for each game is 3 (win, lose, tie).

The total number of possible outcomes is given by:

= Number of outcomes for 1st game * Number of outcomes 2nd game

= 3*3*3*3

=81

Hence, The number of possible outcomes is 81

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In space, there can be infinitely many planes that are perpendicular to a given line at a given point on that line.

The correct answer is Option D.

The key concept here is that a plane is defined by having at least three non-collinear points.

When a line is given, we can choose any two points on that line, and then construct a plane that contains both the line and those two points. By doing so, we ensure that the plane is perpendicular to the given line at the chosen point.

Since we can select an infinite number of points on the given line, we can construct an infinite number of planes that are perpendicular to the line at various points.

Thus, the correct answer is D. infinitely many planes can be perpendicular to a given line at a given point in space.

The correct answer is Option D.

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Sample Space (S) = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

To illustrate all possible outcomes of tossing a dime 3 times, we can create a tree diagram. We'll represent a Head as "H" and a Tail as "T".

Here's the tree diagram:

         H

      /     \

  H       T

 /  \    /  \

H    T  H    T

         T

      /     \

  H       T

 /  \    /  \

H    T  H    T

Using the tree diagram, we can write out the sample space as a set of all possible outcomes:

Sample Space (S) = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

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Answer:

9

Step-by-step explanation:

See the picture for steps :)

\(\huge\text{Hey there!}\)

\(\mathsf{\dfrac{1}{4} (38 -14) + \dfrac{3^3}{9}}\)

\(\mathsf{38-14=\bf 24}\)

\(\mathsf{= \ \dfrac{1}{4} (24)+\dfrac{3^3}{9}}\)

\(\mathsf{\dfrac{1}{4}(24)= \bf 6}\)

\(\mathsf{= \ 6+\dfrac{3^3}{9}}\)

\(\mathsf{3^3}\\\mathsf{= 3\times3\times3}\\\mathsf{= 9\times3}\\\mathsf{= \bf 27}\)

\(\mathsf{= \ 6+\dfrac{27}{9}}\)

\(\mathsf{\dfrac{27}{9}}\\\mathsf{= 27\div9}\\\mathsf{= \bf 3}\)

\(\mathsf{= \ 6 + 3}\)

\(\mathsf{= \bf 9}\)

\(\boxed{\boxed{\huge\text{Therefore, your ANSWER is: \textsf 9}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

no

Step-by-step explanation:

Answer:

108º

Step-by-step explanation:

to find the sum of interior angles: ( n − 2 ) × 180 = x

x = 540º

n = # of interior angles

first, solve for n

(n - 2) • 180 = 540                        distribute to 180 to (n - 2)

180n - 360 = 540                         add 360 to both sides

180n = 900                                  divide both sides by 180

n = 5

to find measure of each angle:

540 ÷ 5 = 108º

sin(x+y) - sin(x-y) - 1 = cos(2x)

sin(90) - sin(x-y) - 1 = cos(2x)

1 - sin(x-(90-x)) - 1 = cos(2x)

-sin(2x-90) = cos(2x)

-1*(sin(2x)cos(90) - cos(2x)sin(90)) = cos(2x)

-1*(sin(2x)*0 - cos(2x)*1) = cos(2x)

-1*(0 - cos(2x)) = cos(2x)

-1*(-cos(2x)) = cos(2x)

cos(2x) = cos(2x)

This confirms the identity is true.

Notice that throughout this proof, I only changed the left hand side.

On the 5th line, I used the identity sin(A-B) = sin(A)cos(B)-cos(A)sin(B).

Answer:

the answer would be 1/8

Step-by-step explanation:

The 'a' value determines if the parabola opens up or down

If a < 0, then the parabola opens down to form a frown

If a > 0, then the parabola opens upward to form a smile.

The closer 'a' is to zero, the more wide the parabola will be. In contrast, if 'a' is pretty far from zero, then the parabola is more skinny/narrow.

bisects x = -12AB / (2AB - 6BD)

m∠ABC = 6x

= 6 × (-12AB / (2AB - 6BD))

To solve for x and find the measure of angle ABC (m∠ABC), we will apply the angle bisector theorem and use the given information.

According to the angle bisector theorem, the ratio of the lengths of the segments created by an angle bisector is equal to the ratio of the measures of the angles formed by the bisector.

Let's set up the equation using the given information:

m∠ABD = 6x (angle ABD)

m∠DBC = 2x + 12 (angle DBC)

Using the angle bisector theorem, we have:

AB/BD = m∠ABD/m∠DBC

Since BD bisects ∠ABC, we can substitute the given measures into the equation:

AB/BD = (6x) / (2x + 12)

To solve for x, we can cross-multiply:

AB × (2x + 12) = BD × (6x)

Expanding both sides of the equation:

2ABx + 12AB = 6BDx

Rearranging the equation:

(2AB - 6BD)x = -12AB

Now we can isolate x:

x = -12AB / (2AB - 6BD)

The measure of angle ABC (m∠ABC), we substitute the value of x back into the expression:

Simplifying this expression further would require additional information about the lengths of AB and BD.

Without this information, we cannot find the exact value of m∠ABC.

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Answer:

0.44x10^3

Step-by-step explanation:

The number has to be from 1 to 10, not below 1, like 0.44 does.

Answer:

* is \(7x^{2}\)

Step-by-step explanation:

(7x + 3)(x + 3)

=  \(7x^{2}\) + 24x + 9

Answer:

7x²

Step-by-step explanation:

Answer: linear combo of terms involving x & y, with respective numbers determining their contribution to the expression

Answer:

x = 17

Step-by-step explanation:

The angles are same side interior angles and they will add to 180 when the lines are parallel

6x+8  + 4x+2 = 180

10x+10 = 180

Subtract 10 from each side

10x+10-10 =180-10

10x = 170

Divide by 10

10x/10 = 170/10

x = 17

Answer:

x = 17

Step-by-step explanation:

Theorem:

If two lines are cut by a transversal such that same-side interior angles are supplementary, then the lines are parallel.

For the lines to be parallel, the sum of 6x + 8 and 4x + 2 must equal 180.

6x + 8 + 4x + 2 = 180

10x + 10 = 180

10x = 170

x = 17

Answer:

55

Step-by-step explanation:

(55+55+58+48) ÷4

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The radius of the cylinder is of 17 inches.

The volume of a cylinder of radius r and height h is given by the equation presented as follows:

V = πr²h.

The parameters for this problem are given as follows:

V = 289π in³, r = 1 in.

Hence the radius of the cylinder is obtained as follows:

r² = 289

\(r = \sqrt{289}\)

r = 17 inches.

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Answer:

y = 2*x + 4

Step-by-step explanation:

We know that a linear function can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

We know that if this line passes through the points (x₁, y₁) and (x₂, y₂) the slope can be written as:

a = (y₂ - y₁)/(x₂ - x₁)

So, here we know that our line must pass through the points (-2,0) and (0, 4)

Then the slope of this line is:

a = (4 - 0)/(0 - (-2))

a = 4/2 = 2

Then our line is something like:

y = 2*x + b

Now, to find the value of b we can use one of these two points, for example if we use the point (-2, 0), we know that, when x = -2, we must have y = 0.

0 = 2*(-2) + b

0 = -4 + b

4 = b

Then the equation for our line is:

y = 2*x + 4

Answer:

y=2x-7

Step-by-step explanation:

so here's my work

I just plugged stuff in so:

y+1=2(x-3)

y+1=2x-6

y=2x-7

Answer:

1.30$

Step-by-step explanation:

The price of the candy bar to have a 65% mark up is $1.3035.

Markdown percentage is defined as the increase in the price which is calculated as a percent of the selling price.

Given that,

Markup percentage = 65% = 65/100 = 0.65

Let x be the price of the candy bar be to have a 65% mark up.

(x - 0.79) / 0.79 = 0.65

x - 0.79 = 0.5135

Adding 0.79 to both sides,

x = 1.3035

Hence the price of the candy bar would need to be $1.3035.

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