Jan's checking account had $26 she
used her debit card for $12, deposited
$38, and wrote a check for $45. how
much is in her account

Answer:

posistive i think welp hope this helps :D

Step-by-step explanation:

The value of common ration r is 4.

Given that,

a₁ = 9

a₅ = 2304

We know that,

A geometric sequence  is a sequence in which each term (except from the first term) is multiplied by a fixed amount to obtain the following term.

The following term in the geometric sequence must be obtained by multiplying it by a set term (referred to as the common ratio), and the previous term in the sequence can be obtained by dividing it by the same common ratio.

Since we know that nth term of GP is,

\(a_{n}\) = a₁ \(r^{n-1}\)

Therefore,

a₅ = a₁ \(r^{4}\)  = 2304

⇒  9 x \(r^{4}\)  = 2304

⇒        \(r^{4}\)  = 256

⇒           r = 4

Hence, r = 4

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Given that information, we know that there is a proportional relationship between the weight in pounds (p) and the number of gallons (g), with a constant of proportionality k that is:

With this relationship, we know that if g=0, then p=0. So the first table does not correspond.

The same point can be used to discard the fourth table.

We know that for g=1, p has to be p=8.36, so this point is present in the second table and not in the third table (that has an inverse constant of proportionality between p ang g).

Answer. Second table.

Answer:

\(0.98268\)

Step-by-step explanation:

We are given that

Mean, \(\mu=3408\)miles

Variance, \(\sigma^2=249001\)

We have to find  the probability that the mean of a sample of 36 cars would differ from the population mean by less than 198 miles.

n=36

\(P(|\bar{x}-3408}|<198)=P(3408-198<\bar{x}<198+3408)\)

=\(P(3210<\bar{x}<3606)\)

=\(P(\frac{3210-3408}{\sqrt{\frac{249001}{36}}}<\frac{\bar{x}-\mu}{\sqrt{\frac{variance}{n}}}<\frac{3606-3408}{\sqrt{\frac{249001}{36}}}\)

\(=P(-2.38<Z<2.38)\)

\(=P(Z<2.38)-P(Z<-2.38)\)

\(=0.99134-0.00866\)

=\(0.98268\)

Hence,  the probability that the mean of a sample of 36 cars would differ from the population mean by less than 198 miles=\(0.98268\)

Answer:

x = 65

Step-by-step explanation:

Angles are equal because of the vertical angle thm

2x + 15 = 145

2x = 130

x = 65

Answer:

a = 60°

b = 3cm

Step-by-step explanation:

Congruent angles

Parallel/congruent sides

Answer:

a=120 b=3

Step-by-step explanation:

For A you use 180-60 so you will get 120 for answer.

For B line PQ is parallel to line SR so 3 will be the answer

Answer:

89 is the answer

Step-by-step explanation:

88.98

= 89

9514 1404 393

Answer:

  89.0

Step-by-step explanation:

One way to round a number is to add half the place value you're rounding to, then truncate at the desired place value.

Here, we want to round to a tenth (0.1), so we first add half that value:

  88.98 + 0.05 = 89.03

Now, we throw away all digits after the tenths place.

  89.0 . . . . our rounded value

There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.

To determine the total number of color-wheel size combinations for the kickboard scooter, we need to multiply the number of color options by the number of wheel size options.

Given that there are 4 color options (silver, red, blue, and purple) and 2 wheel size options (125mm and 180mm), we can use the multiplication principle to find the total number of combinations:

Total combinations = Number of color options × Number of wheel size options

Total combinations = 4 colors × 2 wheel sizes

Total combinations = 8

There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.

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Answer:

(c) and (e) are true

Step-by-step explanation:

Given

\(P(d) = 10. (1.08)^d\)

See attachment for complete question

Required

Which of the options is true

(a) 1080 insects on day 1

This implies that d = 1

So, we have:

\(P(1) = 10* (1.08)^1\)

\(P(1) = 10* 1.08\)

\(P(1) = 10.8\)

(a) is incorrect because \(P(1) \ne 1080\)

(b) 10800 insects after a week

This implies that \(d = 7\)

So, we have:

\(P(7) = 10* (1.08)^7\)

\(P(7) = 10* 1.71382426878\)

\(P(7) = 17.14\)

(b) is incorrect because \(P(7) \ne 10800\)

(c): Growth factor per day is 1.08

An exponential factor is represented as:

\(y = ab^x\)

Where

b is the growth factor

By comparison:

\(b = 1.08\)

Hence, (c) option is true

(d): Growth factor per week is 1.08*7

In (c), we have:

\(b = 1.08\) as the daily growth factor

So, the growth factor for n days is:

\(Factor = 1.08^n\)

Substitute 7 for n i.e. 7 days

\(Factor = 1.08^7\)

So, the growth factor for 7 days is: \(1.08^7\) not \(1.08*7\)

Hence, (d) option is true

(e): Growth factor per week is 1.08*7

In (c), we have:

\(b = 1.08\) as the daily growth factor

For hourly rate, we have:

\(Factor = 1.08^\frac{1}{24}\)

Hence, (e) option is true

Answer:

\(\frac{87}{20}\)

Step-by-step explanation:

First we need to change the mixed numbers into improper fractions.

9 x 10 = 90 + 1 = 91/10

4 x 4 = 16 + 3 = 19/4

Now we need to get them into simplest terms. There is a few ways to do this, but I know that 10 x 2 = 20 and 4 x 5 = 20 so I will use 20.

\(\frac{91}{10} = \frac{91 x 2}{10 x 2} = \frac{182}{20}\)

\(\frac{19}{4} = \frac{19 x 5}{4 x 5} = \frac{95}{20}\)

Now we can subtract:

\(\frac{182}{20} - \frac{95}{20} = \frac{87}{20}\)

And that leaves us with our answer :D

Option B. y = 3 (one-third) Superscript x is the function that is graphed in this question.

We have exponential functions to be of the form abˣ

This can be written in the form of f(x) = \(3\frac{1}{3} ^x\)

So it crosses through the point (0, 3).

From the way that the curve passes through the circle, we can see that the it is said to pass through at (0, 3) and approaches y = 0 in quadrant 1

Hence this would put our answer to be y = 3 (one-third) Superscript x

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Answer:the answer is b dont care

Step-by-step explanation:

On a coordinate plane, an exponential decay function is shown. The curve starts in quadrant 2 and decreases into quadrant 1. It crosses the y-axis at (0, 3) and approaches y = 0 in quadrant 1.

y = one-third (3) Superscript x

y = 3 (one-third) Superscript x

y = (one-half) Superscript x Baseline + 2

y = (2) Superscript x Baseline minus 1

The absolute value of the Rational number -474/513 is 474/513.

To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:

-8/9 = (-8/9) * (57/57) = -456/513

-2/57 = (-2/57) * (9/9) = -18/513

Now, you can add the fractions:

-456/513 + (-18/513) = (-456 - 18)/513 = -474/513

To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:

| -474/513 | = 474/513

Therefore, the absolute value of the rational number -474/513 is 474/513.

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The right answer is 100 units^2

please see the attached picture for full solution

Hope it helps

Good luck on your assignment,

Out of the population being surveyed, the one that could result in a sample statistic but not a parameter is; B: 50

A sample statistic is a piece of information you get from a fraction of a population.

A parameter is a number describing a whole population (e.g., population mean), while a statistic is a number describing a sample (e.g., sample mean).

Now, we are told that a population consists of 5000 people. This means that the sample statistic could be the sample mean which could be 50 but certainly not 5000 as the sample statistic can't be same as the population.

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Answer:

first piece is 2 inches second piece is 4 inches third piece is 6 inches

Step-by-step explanation:

x=2

1(2) + 2(2) + 2(3)

Answer:

360°

Step-by-step explanation:

Any figure can map onto itself by rotating it 360°.

The angle of rotation that is an angle of rotational symmetry for all figures is 360°.

Rotational symmetry is also referred to as the radial symmetry. It simply refers to the property of a shape after a rotation has been done.

It should be noted that a shape has a rotational symmetry when it can be rotated between the angles of 0° and 360°. Therefore, the angle of rotation that is an angle of rotational symmetry for all figures is 360°.

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Answer:

7

Step-by-step explanation: just took the test.

The length of the midsegment of the given trapezoid will be 7 units.

Let's consider we have two points (x₁, y₁) and (x₂, y₂) the distance between these two points is given by the formula;

\(d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }\)

As per the given trapezoid,

The coordinate of the midpoint of AB will be as,

x = (4 - 2)/2 and y = (3 + 4)/2

x = 1 and y = 3.5 thus, (1,3.5)

The coordinate of the midpoint of CD will be as,

x = (4 - 2)/2 and y = (-5 - 2)/2

x = 1 and y = -3.5 thus, (1,-3.5)

The distance between the points (1,3.5) and (1,-3.5) will be given as,

\(D = \sqrt {\left( {1 - 1 } \right)^2 + \left( {3.5 + 3.5 } \right)^2 }\)

D = √(7²) = 7

Hence "The length of the midsegment of the given trapezoid will be 7 units".

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The distance between points R and S is  \(\sqrt{ (185)\). The correct answer is D. She made no errors.

Heather's work to find the distance between two points, R(-3,-4) and S(5,7), is shown:

RS = √(-4) (-3))² + (7 − 5)²

= √(-1)² + (2)²= √1 + 4

= √5

The error is with the order of subtraction in the formula for the distance between two points.

Heather did not make any errors in calculating the distance between two points. Therefore, the correct answer to the question above is (OD) She made no errors.

The formula for the distance between two points, A (x1, y1) and B (x2, y2), in the coordinate plane is given as;

dAB = \(\sqrt{  ((x^2 - x1)^2 + (y2 - y1)^2)\)

Comparing the given question with the formula above, we have;

A = R (-3, -4) and B = S (5, 7)The distance, AB = RS.

Therefore, we have;

RS = \(\sqrt{ ((5 - (-3))^2 + (7 - (-4))^2)\)

On solving the above equation;RS = \(\sqrt{ ((5 + 3)^2 + (7 + 4)^2)\)RS

= \(\sqrt{ (8^2 + 11^2)RS\)

= \(\sqrt{ (64 + 121)RS\)

= \(\sqrt{ (185)\)

Therefore, the distance between points R and S is  \(\sqrt{ (185)\).

From the calculation, it is clear that Heather did not make any errors while calculating the distance between two points. The answer obtained by Heather is correct.

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Answer:

The volume is 997.62 cubic units..

Step-by-step explanation:

We are given the following details:

The pyramid has a regular hexagonal base i.e. each side of hexagon is equal.

Side of hexagonal base, a = 8 units

Altitude of pyramid, h = 18 units

We have to find the volume of pyramid.

Formula:

\(V = \dfrac{1}{3} \times B \times h\)

Where, B is the area of base of pyramid.

h is the height/altitude of pyramid

To calculate B:

Here, base is a hexagon with side 8 units.

\(\text{Area of hexagon, B }= 6 \times \dfrac{\sqrt{3}}{4}a^{2}\)

Here, a = 8 units

\(\Rightarrow B = 6 \times \dfrac{\sqrt{3}}{4}\times 8^{2}\\\Rightarrow B = 166.27\text{ square units}\)

Putting values of B and h in Formula of volume:

\(\Rightarrow V = \dfrac{1}{3} \times 166.27 \times 18\\\Rightarrow V = \dfrac{2992.89}{3} = 997.62\text{ cubic units}\)

Hence, the volume is 997.62 cubic units.

Answer:

Hence, the relation R is a reflexive, symmetric and transitive relation.

Given :

A be the set of all lines in the plane and R is a relation on set A.

\(R=\{l_1,l_2\in A|l_1 \;\text{is parallel to}\; l_2\}\)

To find :

Which type of relation R on set A.

Explanation :

A relation R on a set A is called reflexive relation if every \(a\in A\) then \((a,a)\in R\).

So, the relation R is a reflexive relation because a line always parallels to itself.

A relation R on a set A is called Symmetric relation if \((a,b)\in R\) then \((b,a)\in R\) for all \(a,b\in A\).

So, the relation R is a symmetric relation because if a line \(l_1\) is parallel to the line \(l_2\) the always the line \(l_2\) is parallel to the line \(l_1\).

A relation R on a set A is called transitive relation if \((a,b)\in R\) and \((b,c)\in R\) then \((a,c)\in R\) for all \(a,b,c\in A\).

So, the relation R is a transitive relation because if a line \(l_1\) s parallel to the line \(l_2\) and the line \(l_2\) is parallel to the line \(l_3\) then the always line \(l_1\) is parallel to the line \(l_3\).

Therefore the relation R is a reflexive, symmetric and transitive relation.

Answer:

1. All real numbers

2. All real numbers

3.x>=0

4.y>=-6

Step-by-step explanation:

The domain of the sum of the functions is x ≥ 0 and the range of the function is y ≥ -6.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a functions g(x) and k(x)

g(x) = x - 6

The domain of the function:

D: x ∈ (-∞, ∞) or

All real numbers.

k(x) = √x

The domain of the function k(x) is x ≥ 0

The range of the function k(x) is y ≥ 0

The sum of the functions:

= g(x) + k(x)

= x - 6 + √x

= x + √x - 6

The domain of the function is x ≥ 0

The range of the function is y ≥ -6

Thus, the domain of the sum of the functions is x ≥ 0 and the range of the function is y ≥ -6.

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Answer:

A

Step-by-step explanation:

D to E is 6 units apart

Step-by-step explanation:

= 6,8x - 3,9x

= (6,8 - 3,9)x

= 2,9x

Answer:

The answer is 2.9x

You have to subtract the 3.9x from the 6.8x.

Answer:

no hablo espanol papas fritas papas fritas papas fritas papas fritas papas fritas papas fritas papas fritas papas fritas

Step-by-step explanation:

The inverse of the equation is determined as \(y = \log_{6}(-3x)\).

option D is the correct answer.

The inverse of the equation is calculated by applying the following method;

The given equation;

y = - 6ˣ/3

The inverse of the equation is calculated as;

multiply through by 3

\(-3x = 6^y\)

Take the logarithm of both sides of the equation with base -6:

\(\log_{6}(-3x) = y\)

Finally, replace y with x to obtain the inverse equation as follows;

\(y = \log_{6}(-3x)\)

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Answer:

122

Step-by-step explanation:

6*20=120 + 2=122

Answer:

second option

Step-by-step explanation:

If circle with center N with m∠MNP=124 ∘ and MN=13,  the area of sector MNP is approximately equal to 194.86 square units.

To find the area of a sector of a circle, we need to use the formula:

Area of sector = (central angle/360°) x πr²

Where r is the radius of the circle.

In this problem, we know that the central angle m∠MNP is 124° and MN, which is also the radius of the circle, is 13. So we can substitute these values into the formula:

Area of sector = (124/360) x π(13)²

Area of sector ≈ 194.86

Therefore, the area of sector MNP is approximately equal to 194.86 square units.

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The solution of the first graph is 1, 2 while the second graph is a straight line.

We have y > 2x

y< x

First you have to replace the inequality by a mathematical operator

y - 2x = 0

y - 3 = 0

equation 1 is of the form

y = mx

The slope here is 2,

to make a graph we need to have x = 1 then the line would pass through

(1,2).

The second equation is simply a second line that would pass through the x axis.

The correct graph is below:

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