Brett tallies up the transactions in his check register and comes up with a total balance of $248.53, but his bank statement says that his balance is $257.72. Which of the following are still outstanding?

I. A $44.09 check to the electronics store
II. A $73.98 check to the mechanic
III. A $49.96 paycheck deposit
IV. A $64.79 check deposit from Brett’s cousin
a.
I and III
b.
II and III
c.
I and IV
d.
II and IV

Answer: s = 6

Step-by-step explanation:

s/ -2 + 10 = 7

- s/2 + 10 = 7

-s + 20 = 14

-s = 14 - 20

-s = -6

s = 6

Answer

s=6

Step-by-step explanation:

Answer:

1. 90

2. -12 +5

3. 83

Step-by-step explanation:

90 -12 + 5 = 83

Answer:

57785/_6÷=6=×÷6776==677/÷567

Answer:

y - 5 = -1/4(x - 4)

Step-by-step explanation:

Point slope form is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

To find the point slope form, plug in the point given and the slope.

y - y1 = m(x - x1)

y - 5 = -1/4(x - 4)

The measure of side length x in the right triangle is approximately 6.03 cm.

The figure in the image is a right triangle having one of its interior angle at 90 degrees.

From the figure:

Angle θ = 37 degrees

Adjacent to angle θ = 8 cm

Opposite to angle θ = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( θ ) = opposite / adjacent

Plug in the given values and solve for x:

tan( 37 ) = x / 8

x = tan( 37 ) × 8

x = 6.03 cm

Therefore, the value of x is 6.03 cm.

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Answer:

-7x+3

Step-by-step explanation:

Answer:

Step-by-step explanation:10x+15+2+x

11x+17

Step-by-step explanation:

brainliest please

Answer:

Step-by-step explanation:

Answer:

80, 160

Step-by-step explanation:

It's just multiplying the last term by 2.

Answer:

80 and 160

Step-by-step explanation:

5 × 2 = 10

10 × 2 = 20

20 × 2 = 40

40 × 2 = 80

80 × 2 = 160

Hope it helps!

The graph of the function is attached below.

The graph of a function shows the correlation between its inputs (represented by x-values) and matching outputs (represented by y-values). It is a means of illustrating the actions and traits of a function.

Plotting points that conform to the function's rule in a cartesian coordinate system results in the graph of the function. An input-output pair for the function is represented by each point on the graph. The point's x-coordinate represents the input value, while its y-coordinate represents the output value.

We can further use the graph to determine the range, domain, y-intercept, x-intercept and so many others from a graph.

In the given problem;

The graph of the function f(x) = 1 + x / x² - 1 is attached below;

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Equation using slope intercept form is 3y = x + 18

An intercept in mathematics is a location on the y-axis through which the line's slope passes. It is a place on the y-axis where a straight line or a curve crosses. This is reflected in the equation for a line, which is written as y = mx + b, where m denotes slope and c denotes the y-intercept. Y = mx + b is the general formula for the slope-intercept form, where m stands for the line's slope and b for the y-value of the line's y-intercept. We may more easily determine a line's slope and its y-axis intersection using the slope-intercept form of a linear equation.

Given Data

Points(0,6) and (-2,0)

The slope formula = \(\frac{y_{2}-y_{1 } }{x_{2}-x_{1} }\)

y₂= 0

y₁=6

x₂=-2

x₁=0

Slope = (-2-0)/(0-6)

Slope = -2/ -6

Slope = 1/3

Slope intercept form

y = mx + b

y = (1/3)x + 6

y = (x+18)/3

3y = x + 18

Equation using slope intercept form is 3y = x + 18

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1/6 odds of rolling a 6

1/2 odds of flipping tails

1/6 x 1/2 = 1/12

The probability that she gets a 4 and a tail is 1/12.

The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.

Given:

Helen rolls a die and flips a coin.

The probability of getting 4 on the die,

= 1/6

The probability of getting tail on the coin,

= 1/2

The probability that she gets a 4 and a tail,

= 1/2 x 1/6

= 1/12

Therefore, the probability is 1/12.

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Answer:

No, the friend is not correct.

Step-by-step explanation:

The friend is not correct because let's call the three lines line A, line B, and line C. The line intersection says that if two lines intersect, then there will be one point of intersection. Therefore, we have to count all pairs of lines between line A, B, and C. Lines A and B can intersect, lines B and C can intersect, and lines A and C can intersect. Therefore there will be 3 lines of intersection, not 2.

Answer:

Interval notation: Range = (1,9)

Words notation: Range is between 1 and 9.

Inequality notation: Range = {f(x)| 1 < f(x) < 9}

Step-by-step explanation:

The given function is

\(f(x)=x+3\)

We need to find the range of f(x) for the domain -2 < x < 6 .

At x=-2,

\(f(-2)=-2+3=1\)

At x=6,

\(f(6)=6+3=9\)

So, the range of the function is 1 < f(x) < 9. It can be written as

Interval notation: Range = (1,9)

Words notation: Range is between 1 and 9.

Inequality notation: Range = {f(x)| 1 < f(x) < 9}

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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The time it will take for your account balance to reach $10,000 is given as follows:

t = 10.8 years.

The balance of an account after t years, using continuous compounding, is given as follows:

A(t) = A(0)e^(kt).

In which:

The parameters for this problem are given as follows:

A(0) = 6500, k = 0.04.

Hence the time needed for a balance of $10,000 is obtained as follows:

10000 = 6500e^(0.04t)

e^(0.04t) = 10000/6500

0.04t = ln(10000/6500) -> ln is the inverse operation of the exponential

t = ln(10000/6500)/0.04

t = 10.8 years.

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Answer:

A. 30.144

Step-by-step explanation:

This is a Chi-Squared test

Given:

To use the Chi-Square distribution table, you need to know two values:

Degrees of Freedom = n - 1 = 20 - 1 = 19

The significance level is 5%, so \(\alpha= 0.05\)

This is a one-tailed test since \(\textsf{H}_1:\sigma^2 > 384\) so Upper tail area = 0.05

Reading from the table (attached), the critical value is:  30.144

(This means that we reject \(\textsf{H}_0\) if the test statistic is greater than 30.144)

Perimeter

\(\\ \tt\hookrightarrow 2(L+B)\)

\(\\ \tt\hookrightarrow 2(6+4)\)

\(\\ \tt\hookrightarrow 2(10)\)

\(\\ \tt\hookrightarrow 20cm\)

Scale 1cm=3m

Answer:

60 m

Step-by-step explanation:

Perimeter of a rectangle = 2 x width + 2 x length

From inspection of the diagram, the width of the villa is 4 cm and the length is 6 cm

Therefore, perimeter of the villa = (2 x 4) + (2 x 6) = 20 cm

We are told that there is a scale 1 cm : 3 m

This means that 1 cm = 3 m

Therefore, to convert the perimeter found in cm into meters, we need to multiply it by 3:

Perimeter = 20 x 3 = 60 m

Answer:

180

Step-by-step explanation:

V= Bh

V= (9 x 4) x 5

V= 180

I'm not sure what is meant by "partitioning the x-axis" - partition is a term more often used with computing Riemann sums. So either partitioning has a special meaning for you, or you have to approximate the area with a Riemann sum.

I'm going to assume you just want the exact area of the given region. Notice that the two curves y = 4e ˣ and y = -x + 4 intersect when x = 0 at the point (0, 4). Both curves then meet the vertical line x = 4. The exponential function is increasing while the linear one is decreasing, so 4e ˣ ≥ -x + 4.

The region is then the set of points,

R = {(x, y) | 0 ≤ x ≤ 4 and -x + 4 ≤ y ≤ 4e ˣ}

so the area is given by the integral,

\(\displaystyle\int_0^4 (4e^x-(-x+4))\,\mathrm dx=\int_0^4(4e^x+x-4)\,\mathrm dx=\left(4e^x+\frac{x^2}2-4x\right)\bigg|_0^4=\boxed{4e^4-12}\)

Using the confidence interval, a 95% confidence interval for the mean rate is (4.4206,4.2106).

In the given question, we have to construct a 95% confidence interval for the mean rate.

There is given  interest rates (annual percentage rates) for a 30-year fixed rate mortgage from a sample of lenders in Macon, Georgia for one day.

It is reasonable to assume that the population is approximately normal.

4.754, 4.375, 4.173, 4.678, 4.425, 4.227, 4.126, 4.250, 3.951, 4.197

We find the mean

Mean=4.754+4.375+4.173+4.678+4.425+4.227+4.126+4.250+3.951+4.197/10

Mean=43.156/10

Mean=4.3156

Standard Deviation(S)=√(x−mean)^2/n−1

S=√(4.754−4.3156)^2/10−1

S=√(0.4384)^2/9

S=√0.1922/9

S=√0.02136

S=0.1462

95%=0.95 confidence interval for z is

Z= \(z_{\alpha /2,dt}\)

dt=n−1

dt=10−1

dt=9

\(\alpha\) = 1−0.95=0.05

\(\alpha /2\)=0.05/2=0.025

Z= \(z_{0.025,9}\)

Z= 2.262

Confidence interval

CI=Mean±Z× s/√n

CI=4.3156±2.262× 0.1462/√10

CI=4.3156±2.262× 0.1462/3.1623

CI=4.3156±2.262×0.0462

CI=4.3156±0.105

CI=(4.3156+0.105),(4.3156−0.105)

CI=(4.4206,4.2106)

Hence, a 95% confidence interval for the mean rate is (4.4206,4.2106).

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Answer:

12

Step-by-step explanation:

find the L.C.M. of 6 and 4

6=2×3

4=2×2

L.C.M.=2×2×3=12

Answer:

im going to say a wallaby because they are smaller and lighter and if you think of the weight then less power is needed for a wallaby

idk lol XD

Step-by-step explanation:

Answer:

y>5/6

Step-by-step explanation:

5y+3>-7y+13

5y+7y>13-3

12y/12>10/12

y>5/6

This is an inequality, which shows where the variable y does or does not exist

from this we can say

y: (-infinity,5/6) (5/6, infinity]

or, y does not exist from (-infinity,5/6)

and does exist from (5/6, infinity]

The expression which is used to represents the statement "one-more than the quotient of a number x" and 4 is "x/4 + 1".

A "Quotient" is the result of a division operation between two numbers, where one number is divided by another. It represents the number of times one number is contained within another number.

An "Expression" is defined as "mathematical-phrase" which contain numbers, variables, and operators such as addition, subtraction, multiplication, and division. It can also contain functions and other mathematical symbols.

The quotient of a number"x" and 4 can be written as x/4.

So, one more than the quotient of a number x and 4 can be represented by the expression:

⇒ x/4 + 1,

Therefore, required mathematical expression is "x/4 + 1".

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The given question is incomplete, the complete question is

Write an expression to represent : One more than the quotient of a number x and 4.

Answer:

think it 16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

first you want to plug 30 into the equation so you have 30+(-14), then you add 30 and -14 together and you get 16

hope this helps.

Opposite angles inscribed in a cyclic quadrilateral are supplementary, so:

\(m\angle R+m\angle T=180^{\circ}\\\\m\angle R+47^{\circ}=180^{\circ}\\\\m\angle R=\boxed{133^{\circ}}\)

Answer:

100°

Step-by-step explanation:

No explanation, by  your request.

Answer:

The shaded region in all of the answers are equal.

Step-by-step explanation:

Since squares have equal sides, the area of each square is 12 squared or 144.

The area of the circle in A is pi*radius squared. The diameter is 12, because that is the side length of the square. This means the radius is 6 because the radius of a circle is always half the diameter. So, the area equals 36pi.

The area of the shaded region of A is 144-36pi.

In B, the diameter of each circle is half of what it was in the circles in answer A. So, the diameter is 6 and the radius is 3. The area of each circle is 9pi, and 9 pi * 4 circles is 36pi.

The area of the shaded region of B is 144-36pi.

In C, the diameter of each circle is a third of what it was in the circles in answer A. So, the diameter is 4, and the radius is 2. The area of each circle is 4pi, and 4pi * 9 circles is 36pi.

The area of the shaded region of C is 144-36pi.