Tunde and Martha are married and share their income. Tunde earns $1,500 per year less than Martha. If their annual income is $47,500, how much does each earn?

Answer:

6<y<∞

Step-by-step explanation:

Logarithmic curves can never go left to 0 and go on forever to the right.

x=6 would make the function 0, so 6 is the lower limit and infinity would be the upper limit.

Answer:

Volume: 112 m³.

Surface area: 172 m².

Step-by-step explanation:

The volume is the base times height times length. So, the volume will be 2 * 8 * 7 = 16 * 7 = 112 m³.

The surface area is 2lw + 2lh + 2wh. l = 8; w = 7; h = 2.

2(8)(7) + 2(8)(2) + 2(7)(2) = 2 * 56 + 2 * 16 + 2 * 14 = 112 + 32 + 28 = 112 + 60 = 172 m².

Hope this helps!

Answer:

[tex]\large \boxed{\text{Eight days}}[/tex]

Step-by-step explanation:

1. Calculate the hours

[tex]\text{Hours} = \text{1800 flags} \times \dfrac{\text{1 h}}{\text{45 flags}} = \textbf{40 h}[/tex]

2. Calculate the days

[tex]\text{Days} = \text{40 h} \times \dfrac{\text{1 da}}{\text{5 h}} = \text{8 da}\\\\\text{It will take $\large \boxed{\textbf{eight days}}$ to make 4500 flags.}[/tex]

Answer:

5/(1/3)

Step-by-step explanation:

She has 5 granola bars and gives 1/3 of one to each of her friends. To find how many friends she can give it to, divide 5 by 1/3. You would get a total of 15 friends that you can give granola bars to. The question is asking for an expression so the expression would be 5/(1/3) or 5*3

Answer:

1/3 x = 5

x=15

Step-by-step explanation:

You’re multiplying 1/3 times the number of friends (x), and then multiplying both sides by the reciprocal to solve for x

Answer:

Step-by-step explanation:

We are given the polynomial [tex]x^3+2^2-2x+3[/tex] and we are dividing by (x+3). So by performing one step of synthetic division we get

1 2 -2 3|-3

 -3 3 -3

1 -1 1   0

So the quotient in polynomial form is [tex]x^2-x+1[/tex]

Answer:

47%

Step-by-step explanation:

we are required to find the probability to randomly select from the union of those who own a smartphone only and those who own a smartphone and computer.

an addition of the subsets cover the entire set.

6 + 15 + 26 + 32 + 21 = 100%

let

p(A)= probability of smartphone only

p(B) = probability of smartphone and computer

p(A U B) = P(A) + P(B)

= 15% + 32%

= 47%

Answer:

You need to use the AAS (angle angle side) congruency theorem

Step-by-step explanation:

youre welcome!!!

Answer:

The Angle-Angle-Side Postulate (AAS)

Step-by-step explanation:

It is given that angle 1 and 2 are equivalent so that is angle #1

It is given that angle 3 and 4 are also equivalent so that is angle #2

And finally, it is given that side TS and side TR are equivalent giving you that last side you need to prove the type of Postulate it is

If this helped, please consider giving me brainliest, it will help me a lot

Have a good day! :)

Answer:

d = 115.4 mi

Step-by-step explanation:

Since it gives us the distance in between the locations, we simply label the distances:

From the Garbage to the Hotel is 58.3 miles.

From the Hotel to the Hardware Store is 57.1 miles.

We are trying to find the distance from the Garbage to the Hardware Store, we simply add the distances between:

58.3 mi + 57.1 mi = 115.4 mi

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The statement for [tex]6x - 3 = 9[/tex] is :

[tex]\boxed{Six (x) .minus. Three .equals. Nine.}[/tex]

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Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

Answer:

The answer to your question is x = 4d/t - S1

Step-by-step explanation:

Data

total time = t = 2.75 hours

Initial speed = S1 = 55 mi/h

Final speed = x

distance = d = 60 mi

Formula

speed = distance / time

Average speed = (Initial speed + final speed)/2  or

                          = (S1 + x)/2

Substitution

                             (S1 + x)/2 = 2(d) / t

Solve for x

                             x = (2d/t)2 - S1

Simplification and result

                              x = 4d/t - S1

Answer:

Please check if the answer is a = 4 or not

Answer:

2

Step-by-step explanation:

We are given that a graph which represents f(x).

Interval:[-4,-1]

We have to find the average rate of   change of the function f(x).

From the graph we can see that

f(-4)=-3

f(-1)=3

We know that the average rate of change of the function

Average rate =[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Using the formula

Average rate of change of f=[tex]\frac{3-(-3)}{-1-(-4)}[/tex]

Average rate of change of f=[tex]\frac{6}{3}=2[/tex]

Answer:

h^2 means h²

(h squared)

Step-by-step explanation:

Step 1: Write equation

144 + h² = 225

Step 2: Subtract 144 on both sides

h² = 81

Step 3: Take square root

√h² = √81

h = 9

Answer:

When an obect has rotational symmetry, that means the object will look the same after a certain amount of rotating. When an object has reflection symmetry, it means the object mirrors itself at the midpoint.

Step-by-step explanation:

Trim = circumference

        = 2[tex]\pi r[/tex]

        = 2 x 3.14 x 6

        = 37.68 feet

Answer:

[tex]n = \frac{3}{5}[/tex]. Which means that Frank has been travelling out of the town 3 days for each five days.

Step-by-step explanation:

The fraction ([tex]n[/tex]) is obtained by dividing the number of days that Frank has been out of town (18 days) in the given period (30 days). That is to say:

[tex]n = \frac{t}{T}[/tex]

[tex]t[/tex] - Out-of-the-town period, measured in days.

[tex]T[/tex] - Given period, measured in days.

If [tex]t = 18\,days[/tex] and [tex]T = 30\,days[/tex], then:

[tex]n = \frac{18\,days}{30\,days}[/tex]

[tex]n = \frac{3}{5}[/tex]

Which means that Frank has been travelling out of the town 3 days for each five days.

Answer:28

Step-by-step explanation: 6 x 8 = 48 6+6+8+8=28

The perimeter of rectangle is 28 inches

The formula used to calculate the perimeter of a rectangle is, perimeter of a rectangle = 2(l + w), where 'l' is the length and 'w' is the width of the rectangle.

For example

The length of a bedsheet is 120 inches and the width is 85 inches. How much lace will be needed to put around its border?

Given, length = 120 inches; width = 85 inches.

Perimeter of a rectangle = 2(l + w).

On substituting the values of length and width in this formula, we get,

Perimeter = 2(l + w) = 2(120 + 85)= 2 × 205 = 410 inches.

Let he breadth be x

length= x+ 2

Area= Perimeter + 20

x² + 2x =  4x+ 4 + 20

x² - 2x -24  =  0

x² - 2x -24  =  0

(x- 6) (x+ 4)=0

x= 6, -4

So, length= 8 inches and breadth = 6 inches.

Hence, the Perimeter of rectangle= 2( 8 +6)= 2*14= 28 inches

Learn more about perimeter of rectangle here:

https://brainly.com/question/15287805

#SPJ2

Answer:

D)  ƒ(x) + 2 = x5 + 2

Step-by-step explanation:

You have the following function:

[tex]f(x)=x^5[/tex]           (1)

In the case of a vertical translation of the function on the coordinate system, you have that a translation of a units upward is obtained with the function f(x)+a. In the same way, a translation downward is obtined with f(x)-a.

Thus, a translation in the positive y direction of 2 units (a=2) is given by the following function.

D) ƒ(x) + 2 = x5 + 2

Complete question is;

A researcher studying public opinion of proposed Social Security changes and asks a random sample of 30 adult Americans whether or not they support the proposed changes. To say that the distribution of the sample proportion of adults who respond​ yes, is approximately​ normal, how many adult Americans does the researcher need to sample in the following​ cases

(a) if 37​% of all adult Americans support the changes?

(b) 25% of all adults Americans support the changes?

Answer:

A) 13 adults

B) 23 adults

Step-by-step explanation:

A) We are given;

p = 37% = 0.37

Since we are told that this is an approximately normal distribution, we will use the formula;

np(1 - p) ≥ 10

Thus;

0.37n(1 - 0.37) ≥ 10

n ≥ 10/(0.63 × 0.37)

n ≥ 42.9

We need a whole number, thus n = 43

From the question, we have already 30 adults , so the required number of adults are; 43 - 30 = 13 adults

B) We are given;

p = 25% = 0.25

Since we are told that this is an approximately normal distribution, we will use the formula;

np(1 - p) ≥ 10

Thus;

0.25n(1 - 0.25) ≥ 10

n ≥ 10/(0.75 × 0.25)

n ≥ 53.33

n ≈ 53

From the question, we have already 30 adults , so the required number of adults are; 53 - 30 = 23 adults

Answer:

The 99% confidence interval  is  [tex]0.3003 < I < 0.3997[/tex]

Step-by-step explanation:

From the question we are told that

     The sample size is  [tex]n = 500[/tex]

      The the number that are parents  x =  175

The  proportion of parents is  mathematically represented as

       [tex]\r p = \frac{x}{n}[/tex]

substituting values

      [tex]\r p = \frac{175}{500}[/tex]

     [tex]\r p = 0.35[/tex]

The  level of confidence is given as 99%  which implies that the level of significance is  

       [tex]\alpha = 100 - 99[/tex]

       [tex]\alpha =[/tex]1%

      [tex]\alpha = 0.01[/tex]

The critical value for this level of significance is obtained from the table of critical value as

          [tex]t_{x, \alpha } = t_{175, 0.05} = 2.33[/tex]

Generally the margin of error is mathematically evaluated as

       [tex]M =\frac{ t_{175, 0.01 } * \sqrt{\r p (1-\r p)} }{\sqrt{n} }[/tex]

substituting values

     [tex]M =\frac{ 2.33 * \sqrt{\r 0.35 (1-0.35)} }{\sqrt{500} }[/tex]

     [tex]M = 0.0497[/tex]

Generally the 99% confidence interval is mathematically represented as

        [tex]I = \r p \pm M[/tex]

    [tex]\r p -M < I < \r p + M[/tex]

substituting values

    [tex]0.35 -0.0497 < I < 0.35 + 0.0497[/tex]

    [tex]0.3003 < I < 0.3997[/tex]

Answer:

  148°

Step-by-step explanation:

The measure of the intercepted arc QN is twice the measure of inscribed angle QNT.

  arc QN = 2(74°) = 148°

_____

Comment on the question and answer

Your description "on the circle between points Q and N" is ambiguous. You used the same description for both points P and R. The interpretation we used is shown in the attachment. If point P is on the long arc NQ, then the measure of arc QPN will be the difference between 148° and 360°, hence 212°. You need to choose the answer that matches the diagram you have.

__

We call angle QNT an "inscribed angle" because it is a degenerate case of an inscribed angle. The usual case has the vertex of the angle separate from the ends of the arc it intercepts. In the case of a tangent meeting a chord, the vertex is coincident with one of the ends of the intercepted arc. The relation between angle measure and arc measure remains the same: 1 : 2.

Answer:

148

Step-by-step explanation:

Edge 2020

Answer:

a. 45/1024

b. 1/4

c. 15/128

d. 193/512

e. 9/256

Step-by-step explanation:

Here, each position can be either a 0 or a 1.

So, total number of strings possible = 2^10 = 1024

a) For strings that have exactly two 1's,

it means there must also be exactly eight 0's.

Thus, total number of such strings possible

10!/2!8!=45

Thus, probability is

45/1024

b) Here, we have fixed the 1st and the last positions, and eight positions are available.

Each of these 8 positions can take either a 0 or a 1.

Thus, total number of such strings possible

=2^8=256

Thus, probability is

256/1024 = 1/4

c) For sum of bits to be equal to seven, we must have exactly seven 1's in the string.

Also, it means there must also be exactly three 0's

Thus, total number of such strings possible

10!/7!3!=120

Thus, probability

120/1024 = 15/128

d) Following are the possibilities :

There are six 0's, four 1's :

So, number of strings

10!/6!4!=210

There are seven 0's, three 1's :

So, number of strings

10!/7!3!=120

There are eight 0's, two 1's :

So, number of strings

10!/8!2!=45

There are nine 0's, one 1's :

So, number of strings

10!/9!1!=10

There are ten 0's, zero 1's :

So, number of strings

10!/10!0!=1

Thus, total number of string possible

= 210 + 120 + 45 + 10 + 1

= 386

Thus, probability is

386/1024 = 193/512

e) Here, we have fixed the starting position, so 9 positions remain.

In these 9 positions, there must be exactly two 1's, which means there must also be exactly seven 0's.

Thus, total number of such strings possible

9!/2!7!=36

Thus, probability is

36/1024 = 9/256

=====================================================

Work Shown:

A = mass, in kg, of 1 apple

B = mass, in kg, of 1 empty basket

10A = mass of 10 apples

10A+B = mass of 10 apples and basket = 0.5

35A = mass of 35 apples

35A + B = mass of 35 apples and basket = 1.05

The system of equations we have is

[tex]\begin{cases}10A+B = 0.5\\35A+B = 1.05\end{cases}[/tex]

There are a number of ways to solve. As the top left corner of your paper indicates, we can use a matrix to solve. Either using row reduction or matrix inverse math.

We could also use elimination which I find easiest in this case. I'll use that method. Subtract the equations straight down. Note how the B terms become B-B = 0B = 0 which go away. The A terms become 10A-35A = -25A, and the terms on the right hand side become 0.5-1.05 = -0.55

--------

We're left with the equation

-25A = -0.55

Divide both sides by -25 to isolate A

A = -0.55/(-25)

A = 0.022

The mass of one apple is 0.022 kg

--------

Use this value of A to find B

10A + B = 0.5

10*0.022 + B = 0.5

0.22 + B = 0.5

B = 0.5 - 0.22

B = 0.28

Or we could use the other equation to solve for B

35A + B = 1.05

35(0.022) + B = 1.05

0.77 + B = 1.05

B = 1.05 - 0.77

B = 0.28

Either way, the empty basket's mass is 0.28 kg

Answer: parameter: The proportion of registered voters who will vote Yes on the measure.

Sample: The 1000 registered voters who participated in the study.

Statistic: The proportion of the 1000 registered voters that were surveyed who will vote Yes on the measure.

Variable: Yes or No for each registered voter

Population: All registered voters in the US

Data: The list of Yes and No answers that were given by the 1000 participants in the study.

Step-by-step explanation:

Definitions of the given terms:

Hence, by using the above definitions, we have

Answer:

The answer is option A

Step-by-step explanation:

Equation of a line is y = mx + b

where

m is the slope

b is the y intercept

From the question

b / y intercept = 3

m / slope = 1

Substitute these values into the below equation

y = mx + b

We have the answer as

y = x + 3

Hope this helps you

Answer: A. Y= x+3

Step-by-step explanation: since the value of the slope is 1 it would go next to the x but x is also equal to 1x. And you add 3 since the y intercept is 3 and the format of the equation is y equals slope plus the y intercept hope this helps

Answer:

123 Square Feet. Of Paint. Probably gonna take a little more than a sample-size quart, let me know how it turns out.

Step-by-step explanation:

You would need 11*15=165 square feet of paint. BUT

You need 42 less square feet, because there are 2, 7*3=21 square-foot windows.

165-42

Answer:

Step-by-step explanation:

The processing cost of split-off Orapine units is ...

  GH¢20,000/(5000 units) = GH¢4/unit

The increase in revenue from the further processing is ...

  GH¢25 -GH¢20 = GH¢5

The increased processing cost is less than the increased revenue, so there is additional profit from further processing 5000 units.

__

The processing cost of split-off Banango units is ...

  GH¢20,000/(10000 units) = GH¢2/unit

The increase in revenue from the further processing is ...

  GH¢16 -GH¢15 = GH¢1

The increased processing cost is more than the increased revenue, so the company takes a loss from further processing 10000 units. No additional processing of Banango units should be undertaken.

Answer:

1 , - ( 3x^2/2), + (25x^4/24).

Step-by-step explanation:

We are given the following information:

y = (e^-x^2)cosx.

STEP ONE: Write out the power series out(either by deriving it or otherwise).

If you check the power series table, you will get the power series for the two functions that is cos x and e^-x^2.

e^-x^2 = 1 - (x^2) + ( x^4/2! ) - (x^6/3!) +...

Cos x = 1 - (x^2/2!) + x^4/4!) + (x^6/6!) -...

STEP TWO: Multiply both the power series of e^-x^2 and Cos x together because we are to determine or find the first three nonzero terms in the maclaurin series for the given function.

1 - (x^2) + ( x^4/2! ) - (x^6/3!) +... - 1 - (x^2/2!) + x^4/4!) + (x^6/6!) -...

= 1 - ( 3x^2/2) + (25x^4/24).

= 1, - ( 3x^2/2) , + (25x^4/24) => comma- separated list.