The following expression gives an approximate value of the total average credit card debt in a u.s. household (in dollars) t years after 1995. 404t+5190 use this expression to predict what the total average credit card debt was or will be in the year 1998. answer: in the year 1998, the total average credit card debt for a u.s. household will be (or was) dollars.

The equation which we have created showing relationship between weights of both sides has a solution of y=1/2.

Given weight on one end is y+y+y+1+1+1 and weight on other end is y +y+ y+ y+2 where y is mystery weight.

We have to first form an equation.

If we see the figure we can notice that both sides are equal to other, it means the weight of both ends are equal to each other.

Equation is relationship between two or more variables expressed in equal to form. It is solved to find the value of variables. Equation of two variables look like ax+ by=c.

y+y+1+1+1=y+y+y+y+2

2y+3=4y+2

2y-4y=2-3

-2y=-1

y=1/2

Hence the solution of the equation a showing relationship between weights on both ends is y=1/2.

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Question is incomplete as it should include the given figure.

Answer:

x = 20, so the labeled angles are 80° and 100°.

Step-by-step explanation:

[tex]5x + 4x = 180[/tex]

[tex]9x = 180[/tex]

[tex]x = 20[/tex]

So the labeled angles measure 80° and 100°.

Answer:

x = 20,the labeled angles are 80 and 100 degrees

Step-by-step explanation:

if we multiply them by 20 we will get 80 and 100

The prediction of the author about the future of the earth's mantle is that it would affect the sea level rise.

This refers to the statement that contains a forecast about future events that is made.

Hence, we can see that from the complete text, there is the scientific explanation of the lead researcher about the future of the Earth's mantle and how this would affect sea levels as they would increase.

Yes, I support his guess because he made use of past events and current happenings to show the effects on the sea levels.

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Part 1

By the inscribed angle theorem, arc ZY measures 76 degrees.

Part 2

Since angles inscribed in the same arc are congruent, angle YXZ measures 38 degrees.

Part 3

Since diameters form semicircles and the arc of a semicircle measures 180 degrees, arc XYZ measures 180 degrees.

Part 4

Subtracting arc ZY from arc XYZ, we get 104 degrees.

Answer:

14.58 gallons

Step-by-step explanation:

The tank volume is 3360 in^3, which is the product of the base x length x height (14)(12)(29) = 3360 in^3.

We are given a conversion factor:  1 fluid oz = 1.8 in^3

We can write this as (1 fluid oz)/( 1.8 in^3).

Use this conversion factor to confert volume to fluid oz:

(3360 in^3)*((1 fluid oz)/( 1.8 in^3)) = 1867 fluid oz

There are 128 fluid oz/gallon.  Make this into a conversion factor:

(1 gallon/128 fluid oz)  [The conversion factor can be written with oz or gallon on the top - it makes no difference since the two values are equal to each other]

(1867 fluid oz)*((1 gallon/128 fluid oz) = 14.58 gallons

water  the tank will hold = 14.583 gallons

Given : A fish tank  has a volume = 3360 cubic Inches.

        The length of the tank is =14 inches

                             the width is  = 12 inches.

         The height of the tank is = 20 inches.

           If one fluid ounce is = 1.8 cubic inches

Volume of tank = 14 * 12 * 20  =  3360 cubic inches

1.8 cubic inches   =  one fluid ounce

3360 cubic inches   =  3360/1.8   fluid ounce

= 5600/3    fluid ounce

As we know,

                  1 gallons  = 128   fluid ounces

water  the tank will hold    =(  5600/3 ) / 128

                                           = 175 / 1 = 14.583 gallons

Therefore, water  the tank will hold  = 14.583 gallons

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Answer:

p, because Triangle ABC is similar to triangle EDC

Step-by-step explanation:

Angles DCA and DCE are vertical, so they are congruent.

Angles ABC and CDE measure 70°, so they are congruent.

Triangles BCA and DCE are similar by AA Similarity.

By corresponding angle of similar triangles, angles CED and BAC are congruent.

m<BAC = p

m<CED = m<BAC = p

m<CED = p

The expression of function g(x) is [tex](\frac x2 - 1)^2[/tex]

The function is given as:

[tex]f(x) = x^2[/tex]

When the function is shifted right by 1 unit, the rule is:

f'(x) = f(x - 1)

So, we have:

[tex]f(x) = (x - 1)^2[/tex]

When the function is compressed horizontally by a factor of 2, the rule is:

f'(x) = f(x/2)

So, we have:

[tex]g(x) = (\frac x2 - 1)^2[/tex]

Hence, the expression of function g(x) is [tex](\frac x2 - 1)^2[/tex]

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Step-by-step explanation:

since DE is parallel to the diameter RS, D and E are just a transformation of R and S, where R and S slid up the same distance on the circle arc.

therefore, RD = SE.

and therefore d is half of the supplementary angle to the angle DE (that means together the angle DE and the supplementary angle are 180°).

so,

d = (180 - 50)/2 = 130/2 = 65°

The value of  y = -32 , x = -8 .

Direct Variation is when a variable is dependent on the other variable such that , on increasing one variable the other also increases.

It is given that

x and y are two variables

and they are in direct variation

y ∝ x

y = k x

where , k is the proportionality constant

From the given data , y = 76 when x = 19

76 = k * 19

k = 4

The value of x , when y = -32

-32 = 4 * x

x = -8

Therefore for y = -32 , x = -8 .

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The number of ways to make the playlist with all different songs such that the 4 songs are in order is; 16!/13!3!.

It follows from the task content, that a playlist of 16 songs is to be made.

Additionally, the songs Leavon, Dream on, Here Comes the Sun, and Clocks must be played in order.

In essence, only 13 varieties are now available from the sixteen.

Therefore, the number of different ways to make the playlist is; 16!/13!3!.

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Using the given information, the original estimate was 18 months

From the question, we are to determine how long the original estimate was

Let the original estimate the x

Then, from the given information, we ca write that

x = 16 + (12.5% × 16)

x = 16 + (0.125 × 16)

NOTE: 12.5%  = 12.5/100 = 0.125

∴ x = 16 + 2

x = 18

Hence, the original estimate was 18 months

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Answer:

$254,567

Step-by-step explanation:

The houses market value is $152,740 and has a 60% assessment rate, the assessed valuation of this house would be $254,567. How we got this was by dividing the house total which is $152,740 by the assessment percentage rate which is 60 percent. Simply $152,740÷0.60

Step-by-step explanation:

the solution is in the photo I sent

Answer: 80.5

Step-by-step explanation:

 Given that,

 Base of Triangle = 23 ft

 Height of Triangle = 7 ft

We know,

Area of Triangle

= 0.5 × Base × Height unit^2

=(0.5 × 23 × 7) ft^2

 = 80.5

Answer:

(-1,-4) is the vertex

x = -1 is the equation of symmetry;

Step-by-step explanation:

See attached image.

Answer:

(- 1, - 4 ) and x = - 1

Step-by-step explanation:

given a parabola in standard form

y = ax² + bx + c ( ax≠ 0 )

then the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

y = x² + 2x - 3 ← is in standard form

with a = 1, b = 2 , then

x = - [tex]\frac{2}{2}[/tex] = - 1

substitute x = - 1 into the equation for corresponding y- coordinate

y = (- 1)² + 2(- 1) - 3 = 1 - 2 - 3 = - 4

vertex = (- 1, - 4 )

this is an upward opening parabola ( a > 0 )

the axis of symmetry is a vertical line passing through the vertex with equation

x = c ( c is the value of the x- coordinate of the vertex ), then equation is

x = - 1

Answer:

Step-by-step explanation:

It will take 2/3 hour or 40 minutes to fill the tank if both pipes are used.

Let pi be pipe 1 and pi2 be pipe 2

pi = 1 / 1

pi2 = 1 / 2

together = 1/1 + 1/2 ;

3/2 time ; 2/3 hour.

It will take 2/3 hour or 40 minutes to fill the tank if both pipes are used.

Problem-solving is the act of defining a problem; figuring out the motive of the problem; identifying, prioritizing, and deciding on alternatives for a solution; and implementing an answer.

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Answer:

$7798.84

Step-by-step explanation:

please mark brainliest if correct

In the statement regarding outlier we have to fill "most" to complete the statement.

Given An outlier is a data value that is numerically distant from_________ of the other data points in a set of data.

We have to fill the blank. We can fill " most" in the blank.

If a number in data is more than 1.5 times the length of the box away from either of the upper and lower quartile of the distribution then that number is said to be an outlier.

There are two types of outliers: upper outliers, lower.

If any values in the data set are greater than the upper boundary then those values are the upper outliers.

If any values in the data set are less than the lower boundary then those values are called lower outliers.

Lower quartile =[tex]Q_{1}-1.5*IQR[/tex]

Upper quartile=[tex]Q_{3}+1.5*IQR[/tex]

Hence we have to use most in the sentence to complete it.

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Answer:

7/8 =0.875

Step-by-step explanation:

7/8 =0.875

4/5 =0.8

3/4 =0.75

Answer:

3/4

Step-by-step explanation:

Because if you had a Fraction Strip. 7/8 is a small Rectangle and 3/4 is a bigger Rectangle than 7/8. Look here: https://toytheater.com/fraction-strips/

The probability that she selected a white tile or a tile with an even number will be 9/20.

The probability simply means the act of choosing an event based on the likely occurence.

In this case, the probability that she selected a white tile or a tile with an even number will be 9/20.

Therefore, the correct option is D.

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22/7 was considered while choosing the square's side length, the area of just one side of the remaining paper which is a multiple of 7.

Since the largest circle that can be encircled by a square has a diameter "d" equal to its side length, we may use "d" to conveniently calculate both the square's area and the circle's area.

The largest possibly circle has been cut from a piece of paper.

Square’s area = [tex]d^2[/tex]

Circle’s area =ᴨ[tex]d^2/4[/tex]

Simplifying-

(divide both area by [tex]d^2[/tex]) we find their ratio is 1:(ᴨ/4) or 4/ᴨ (square: circle), and the inverse, ᴨ/4 circle: square.

Therefore diameter of circle =14 cm.

Hence area of circle=πr2.

If you use 22/7 as an approximation for ᴨ, the circle’s area 22/28 of the square’s, the square’s area is 28/22 of the circle’s , it follows that the area outside the circle is (28–22)/28 of the square’s area, which is (28–22)/28 x 14 x14,

or 6/28 x 14 x 14,

or 3/14 x 14 x 14,

or 42 square inches or-

(4-ᴨ)/4 x 14 x 14

22/7, It's a rather accurate estimate.

22/7 was considered while choosing the square's side length, which is a multiple of 7.

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Answer:

D

Step-by-step explanation:

Looks like from the y-intercept of (0, 4), it goes to (1, 7). Therefore, it should be 3, or D.

(Just to make sure, you can plug it into the slope formula to get (7-4)/(1-0), which should give you 3!)

The triangles are not similar because their corresponding angles are not congruent to each other.

If two triangles are similar, their corresponding angles will be congruent to each other. Therefore, two triangles with congruent angles are either similar or congruent to each other. If they are similar, their corresponding sides will have proportional length.

From the image given, the angles of triangle ABC are:

C = 30

B = 90

A = 180 - 90 - 30 = 60.

Triangle LMN are:

L = 90

M = 55

N = 180 - 55 - 90 = 35

Thus, the corresponding angles are not congruent, therefore, they are not similar.

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Answer:

Step-by-step explanation:

you find the L.C.M

18 234 270 324

 13 13 15 18

3 1 15 18

 5 1 5 6

 6 1 1

 1 1 1 ans=18×13×3×5×6=21060

Answer:

y = 0.75x + 17

Step-by-step explanation:

y - 20 = 0.75(x-4)

y - 20 = 0.75(x) + 0.75(-4)

y - 20 = 0.75x -3

y = 0.75x -3 + 20

y = 0.75x + 17

y - 20 = 0.75(x - 4)    |add 20 to both sides

we can simplified equation:

use the distributive property: a(b + c) = ab + ac

y = 0.75x - 0.75 · 4 + 20

y = 0.75x - 3 + 20

The actual payment Eric made to the bank at 175.00 for 36 months is 6,300

Actual payment to bank = Monthly payment × Number of months

= 175.00 × 36

= 6,300

Therefore, the actual payment made to the bank is 6,300.

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Answer: 24yd^2

Step-by-step explanation:

area of triangle=(1/2) (base)(height)  eq(*)

 from given  triangle

height  =6 yd

base     =8yd

putting values in eq(*)

area=(1/2)(8)(6)

area    =24yd^2

Answer:

24yd²

Step-by-step explanation:

Area of a triangle=1/2*base*height

1/2*8*6

u'll be left with

4*6=24

Therefore Area of the triangle is 24yd².

HOPE THIS HELPS

The area of the unshaded region of the circle will be 120π units squared.

The area of a sector of a circle of radius r having an angle a° is given by:

Area of sector = (π*[tex]r^{2}[/tex])*(a°/360°) units squared.

Given ∡KLM = 60°. The radius of the circle is 12 units.

⇒The area of shaded sector KLM =  (π*[tex]12^{2}[/tex])*(60°/360°) = π·144/6 = 24π sq. units.

The area of the unshaded region of the circle = (total area of the circle) - (the area of sector KLM) = (π*[tex]12^{2}[/tex]) - 24π = 120π sq units.

∴ The area of the unshaded region of the circle is 120π units squared.

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This question is incomplete. Find the missing figure below.