Please help me with the 2 math questions and please include an explanation as well. Thank you!

I will delete answers that incomplete or has no explanation.

Please Help Me With The 2 Math Questions And Please Include An Explanation As Well. Thank You!I Will

Answers

Answer 1

Answer:

13)  4.9 m

14)  0.9 m

Step-by-step explanation:

Question 13

The given diagram shows the height of the same cactus plant a year apart:

Year 1 height = 1.6 mYear 2 height = 2 m

We are told that the cactus continues to grow at the same percentage rate. To calculate the growth rate per year (percentage increase), use the percentage increase formula:

[tex]\begin{aligned}\sf Percentage \; increase &= \dfrac{\sf Final\; value - Initial \;value}{\sf Initial \;value}\\\\&=\dfrac{ 2-1.6}{1.6}\\\\&=\dfrac{0.4}{1.6}\\\\&=0.25\end{aligned}[/tex]

Therefore, the growth rate of the height of the cactus is 25% per year.

As the cactus grows at a constant rate, we can use the exponential growth formula to calculate its height in Year 6.

[tex]\boxed{\begin{minipage}{7.5 cm}\underline{Exponential Growth Formula}\\\\$y=a(1+r)^t$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the initial value. \\ \phantom{ww}$\bullet$ $r$ is the growth factor (in decimal form).\\ \phantom{ww}$\bullet$ $t$ is the number of time periods.\\\end{minipage}}[/tex]

The initial value is the height in Year 1, so a = 1.6.

The growth factor is 25%, so r = 0.25.

As we wish to calculate its height in Year 6, the value of t is t = 5 (since there are 5 years between year 1 and year 6).

Substitute these values into the formula and solve for y (the height of the cactus):

[tex]\begin{aligned}y&=a(1+r)^t\\&=1.6(1+0.25)^5\\&=1.6(1.25)^5\\&=1.6(3.0517578125)\\&=4.8828125\\&=4.9\; \sf m\;(nearest\;tenth)\end{aligned}[/tex]

Therefore, if the cactus continues to grow at the same rate, its height in Year 6 will be 4.9 meters (to the nearest tenth).

Check by multiplying the height each year by 1.25:

Year 1 = 1.6 mYear 2 = 1.6 × 1.25 = 2 mYear 3 = 2 × 1.25 = 2.5 mYear 4 = 2.5 × 1.25 = 3.125 mYear 5 = 3.125 × 1.25 = 3.09625 mYear 6 = 3.09625 × 1.25 = 4.8828125 m

[tex]\hrulefill[/tex]

Question 14

The given diagram shows the height of the same snowman an hour apart:

Initial height = 1.8 mHeight after an hour = 1.53 m

We are told that the snowman continues to melt at the same percentage rate. To calculate the decay rate per hour (percentage decrease), use the percentage decrease formula:

[tex]\begin{aligned}\sf Percentage \; decrease&= \dfrac{\sf Initial\; value - Final\;value}{\sf Initial \;value}\\\\&=\dfrac{1.8-1.53}{1.8}\\\\&=\dfrac{0.27}{1.8}\\\\&=0.15\end{aligned}[/tex]

Therefore, the decay rate of the snowman's height is 15% per hour.

As the snowman melts at a constant rate, we can use the exponential decay formula to calculate its height after another 3 hours.

[tex]\boxed{\begin{minipage}{7.5 cm}\underline{Exponential Decay Formula}\\\\$y=a(1-r)^t$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the initial value. \\ \phantom{ww}$\bullet$ $r$ is the decay factor (in decimal form).\\ \phantom{ww}$\bullet$ $t$ is the number of time periods.\\\end{minipage}}[/tex]

The initial value is the snowman's initial height, so a = 1.8.

The decay factor is 15%, so r = 0.15.

As we wish to calculate the snowman's height after another 3 hours, the value of t is t = 4 (i.e. the first hour plus a further 3 hours).

Substitute these values into the formula and solve for y (the height of the snowman):

[tex]\begin{aligned}y&=a(1-r)^t\\&=1.8(1-0.15)^4\\&=1.8(0.85)^4\\&=1.8(0.5220065)\\&=0.93961125\\&=0.9\; \sf m\;(nearest\;tenth)\end{aligned}[/tex]

Therefore, if the snowman continues to melt at the same rate, its height after another 3 hours will be 0.9 meters (to the nearest tenth).

Check by multiplying the height each hour by 0.85:

Initial height = 1.8 mHeight after 1 hour = 1.8 × 0.85 = 1.53Height after 2 hours = 1.53 × 0.85 = 1.3005Height after 3 hours = 1.3005 × 0.85 = 1.105425Height after 4 hours = 1.105425 × 0.85 = 0.93961125

Related Questions

80% of the sixth graders have lunch during fourth period if 120 sixth graders had lunch fourth periods how many total six graders are there?

Answers

Answer: there is a total of 150 sixth graders

explanation :

0.8x = 120

120 / 0.8 = 150

6th graders at lunch =  150

Serena is making a model of one of the Egyptian pyramids. The square base has sides that are all 4.4 in. Each of the triangular faces has a base of 4.4 in and a height of 3.8 in. How much paper would it take to cover the entire pyramid?

Answers

52.8 square inches of paper to cover the entire Pyramid.

The amount of paper needed to cover the entire pyramid, we need to determine the total surface area of the pyramid.

The pyramid consists of a square base and four triangular faces.

1. Base Surface Area:

The surface area of the square base can be calculated by finding the area of a square with sides measuring 4.4 inches. The formula for the area of a square is side length squared:

Base Surface Area = (4.4 in)² = 19.36 in²

2. Triangular Faces Surface Area:

Each triangular face of the pyramid has a base of 4.4 inches and a height of 3.8 inches. The formula for the area of a triangle is 1/2 times the base times the height:

Triangular Face Surface Area = 1/2 * (4.4 in) * (3.8 in) = 8.36 in²

Since the pyramid has four triangular faces, the total surface area of the triangular faces is:

Total Triangular Faces Surface Area = 4 * (8.36 in²) = 33.44 in²

3. Total Surface Area:

To calculate the total surface area of the pyramid, we add the base surface area to the total triangular faces surface area:

Total Surface Area = Base Surface Area + Total Triangular Faces Surface Area

                         = 19.36 in² + 33.44 in²

                         = 52.8 in²

Therefore, it would take approximately 52.8 square inches of paper to cover the entire pyramid.

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What is the the measure of A
B
40°
?
C

Answers

Answer:

Step-by-step explanation:

To find the measure of angle A

asdaadadadasdadasdasdadsadasdasdasdasda

Answers

This is not a question. Next time, please add a question so that others might be able to help you with it

Use table values to graph the Quadratic function.

y = x^2 - 2x + 4

Answers

X. Y
-1. 7
0. 4
1. 3
2. 4
3. 7

Rank the circles from largest area to the smallest area Circle a has the diameter of 8 cm circle b has a radiusof 5 cm circle C has an area of 20 pi centimeters

Answers

Circle B, Circle C, Circle A

A has an area of 16 pi because you square the radius which is half of the diameter

B has an area of 25 pi because squaring the radius

100 Points! Geometry question. Photo attached. Find the area of the figure. Round to the nearest tenth if necessary. Please show as much work as possible. Thank you!

Answers

Answer:

  150 m²

Step-by-step explanation:

You want the total area of a figure consisting of a 12 m wide rectangle 5 m high with a triangle above that bringing the total height to 20 m.

Rectangle area

The area of the rectangle is the product of its length and width:

  A = LW

  A = (12 m)(5 m) = 60 m²

Triangle area

The area of the triangle is half the product of its base and height.

  A = 1/2bh

  A = 12/(12 m)(20 -5 m) = 90 m²

Total area

The area of the whole figure is the sum of the areas of its parts:

  total area = rectangle area + triangle area

  total area = 60 m² +90 m² = 150 m²

The area of the figure is 150 m².

__

Additional comment

Since you know a triangle's area is equivalent to the area of a rectangle that has half the height, the 15 m high triangle can be considered as a rectangle 7.5 m high. Adding that to the 5 m area of the rectangle already there gives the equivalent area as that of a rectangle 12 m wide and 5+7.5 = 12.5 m high: (12 m)(12.5 m) = 150 m².

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What does the x-intercept of the graph represent in terms of the football?

a. The x-intercept represents the maximum vertical height that the football reaches.

b . The x-intercept represents the time it took for the football to reach its maximum height.

c. The x-intercept represents the height where the football was when the ball was kicked.

d. The x-intercept represents how far away the football landed from where it started horizontally.

Answers

The x-intercept in the graph represent the height where the football was when the ball was kicked.

How to find the x-intercept?

The x-intercept is the point where the graph of the line crosses the x-axis.

Therefore, the x-intercept the value of x when y equals to zero.

Therefore, let's find what the x-intercept of the graph represent in terms of the football.

The graph shows the height of the ball in metres after t second.

The y axis represent the height while the x-axis represent the time.

Hence, he x-intercept represents the height where the football was when the ball was kicked.

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The frequency table shows the results of a survey about favorite exhibits. Find the relative frequency that a randomly selected student's favourite exhibit was either dinosaurs, or planets, express your answer as a decimal.


Butterfly: 12

Dinosaurs: 25

Planets: 17

Trains: 6

Answers

The relative frequency that a randomly selected student's favorite exhibit was either dinosaurs, or planets is 0.7.

How do we find the relative frequency?

To find the relative frequency, we will divide the number of students who chose dinosaurs or planets by the total number of students surveyed.

The total number of students surveyed is 12 + 25 + 17 + 6 = 60.

The number of students who chose dinosaurs or planets is 25 + 17 = 42.

Therefore, the relative frequency will then be 42 / 60 = 0.7.

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Find the equation of the axis of symmetry of the following parabola algebraically. y=−3x^2−42x−159

Answers

The equation of the axis of symmetry is x = -7.

Given is an equation of a parabola, y = -3x² - 42x - 159, we need to find the equation of the axis of the symmetry.

To find the equation of the axis of symmetry of a parabola in the form of y = ax² + bx + c, you can use the formula x = -b / (2a).

In this case, the given equation is y = -3x² - 42x - 159.

Comparing it to the general form, we have a = -3 and b = -42.

Applying the formula, we can calculate the x-coordinate of the vertex (the axis of symmetry):

x = -b / (2a)

x = -(-42) / (2(-3))

x = 42 / (-6)

x = -7

Therefore, the x-coordinate of the vertex is -7.

To find the equation of the axis of symmetry, we use the value of x in the form x = h, where (h, k) is the vertex.

Hence, the equation of the axis of symmetry is x = -7.

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Express log 161 in the form of loga + logb.

Answers

log 161 can be expressed as log 7 + log 23 in the form of loga + logb.

To express log 161 in the form of loga + logb, first we need to find suitable values for a and b such that their logarithmic product is equal to log 161.

Let's find the factors of 161 :

161 = 7 * 23

Now, we can express log 161 as product of two logarithms :

log 161 = log (7 + 23)

Using the logarithmic property log(a*b) = log a + log b :

log 161 = log 7 + log 23

Therefore, log 161 can be expressed as log 7 + log 23.

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100 Points! Geometry question. Photo attached. Find the area of the figure. Round to the nearest tenth if necessary. Please show as much work as possible. Thank you!

Answers

Answer:

626.71 cm^2

Step-by-step explanation:

Area of figure = area of half circle + Area of half circle + area of a rectangle

here, diameter=15 cm

radius = 15/2=7.5 cm

length=30cm

breadth=15cm

Now

Area of figure = 1/2*π*radius^2+ 1/2*π*radius^2+length*breadth

=1/2* 1/2*π*7.5^2+1/2* 1/2*π*7.5^2+30*15

=626.71 cm^2

Which expressions are less than 7/8? Choose2 answers 7/8 x 9/19 7/8 x 3/4 7/8 x 9/9 7/8 x 4/3 ​

Answers

The two expressions that are less than 7/8 are 7/8 x 9/19 and 7/8 x 3/4.

To determine which expressions are less than 7/8, we can compare them individually to 7/8 and evaluate their values.

Let's consider each expression one by one:

7/8 x 9/19:

To compare this expression to 7/8, we multiply the fractions:

(7/8) x (9/19) = 63/152.

Since 63/152 is less than 7/8, this expression is less than 7/8.

7/8 x 3/4:

Multiplying the fractions:

(7/8) x (3/4) = 21/32.

Since 21/32 is less than 7/8, this expression is less than 7/8.

7/8 x 9/9:

The fraction 9/9 simplifies to 1, so the expression becomes:

(7/8) x 1 = 7/8.

Since 7/8 is equal to 7/8 (not less than), this expression is not less than 7/8.

7/8 x 4/3:

Multiplying the fractions:

(7/8) x (4/3) = 28/24.

We can simplify 28/24 to 7/6.

Since 7/6 is greater than 7/8, this expression is not less than 7/8.

Therefore, the two expressions that are less than 7/8 are 7/8 x 9/19 and 7/8 x 3/4.

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What is the distance between $500 and $-61.63

Answers

Answer: $561.63

Step-by-step explanation: To find the distance you subtract 500 by -61.63

You get the equation 500--61.63

The two negative signs cancel out to become a positive sign

So the new equation is 500+61.63

So the distance is $561.63

Answer:

$561.63

Step-by-step explanation:

To find out the distance between 500 and -61.63 it will be $500-$-61.63. So 500 - (-61.63) becomes 500 + 61.63 because 2 negatives in a row make a positive. So when you do 500+61.63, you'll get 561.63.

Phil spends no more than 12 hours per week knitting. It takes him 2 hours to knit a hat and
3 hours to knit a scarf. He uses 150 yards of yarn for each hat and 400 yards of yarn for each
scarf. Which combinations of complete hats and scarves can Phil knit if he has 900 yards of yarn?
Select all of the correct answers.
A. 1 hat, 1 scarf
B. 3 hats, 2 scarves
C. 6 hats, 0 scarves
D. 4 hats, 1 scarf
E. 0 hats, 4 scarves
F. 2 hats, 1 scarf

Answers

The correct options regarding the inequality are:

A. 1 hat, 1 scarf

D. 4 hats, 1 scarf

F. 2 hats, 1 scarf

How to explain the inequality

Based on the time constraint, Phil can spend a maximum of 12 hours knitting, so we can set up the following inequality:

2h + 3s ≤ 12,

Phil can knit at most 6 hats per week, because 6 hats * 2 hours/hat = 12 hours.

Phil can knit at most 4 scarves per week, because 4 scarves * 3 hours/scarf = 12 hours.

Phil can use at most 900 yards of yarn, because he has 900 yards of yarn.

Phil can knit 1 hat and 1 scarf, because 1 hat * 150 yards/hat + 1 scarf * 400 yards/scarf = 550 yards < 900 yards.

Phil can knit 4 hats and 1 scarf, because 4 hats * 150 yards/hat + 1 scarf * 400 yards/scarf = 900 yards.

Phil can knit 2 hats and 1 scarf, because 2 hats * 150 yards/hat + 1 scarf * 400 yards/scarf = 700 yards < 900 yards.

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Hello, someone help me with this integral, it gets complicated when they are like this, please help, I need it to pass: c
.....dx
∫ --------
...1−25x²

Answers

Answer:

∫(1 - 25x²) dx

Step-by-step explanation:

Find the degrees of freedom, alpha or significance level, and the t-critical value using the t-table n = 27 ;CL=98\%

Answers

The degrees of freedom for a sample size of 27 is 26, the alpha or significance level for a 98% confidence level is 0.02, and the t-critical value can be found using the t-table corresponding to a 98% confidence level and 26 degrees of freedom.

To find the degrees of freedom, alpha (significance level), and the t-critical value using the t-table, we need to consider the given information:

n = 27: This represents the sample size, which is 27 in this case.

CL = 98%: CL stands for the confidence level.

It indicates the level of confidence we want to have in our interval estimate.

In this case, the confidence level is 98%.

Degrees of Freedom (df): For a t-distribution, the degrees of freedom depend on the sample size.

Since we have a sample size of 27, the degrees of freedom would be n - 1.

Therefore, the degrees of freedom would be 27 - 1 = 26.

Alpha (α): Alpha, or the significance level, represents the probability of making a Type I error, which is rejecting a true null hypothesis.

The alpha level is determined by subtracting the confidence level from 1. In this case, the alpha level would be 1 - 0.98 = 0.02.

T-Critical Value: To find the t-critical value corresponding to a specific confidence level and degrees of freedom, we can consult the t-table. Since we have a confidence level of 98% and degrees of freedom of 26, we need to find the value that corresponds to the area of 0.01 (half of 1 - 0.98) in the t-distribution table.

The t-critical value would be the value from the table that matches these criteria.

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Adjusted Trial Balance from Buildex Company

Answers

The preparation of the income statement of Buildex Company's adjusted trial balance is as follows:

Buildex Company

Income Statement

Services revenue           $70,500

Interest revenue                 5,700

Total revenue                $76,200

Expenses:

Depreciation expense   $4,700

Wages expense            52,000

Insurance expense         4,400

Supplies expense           2,700

Utilities expense              1,700

Total expenses          $65,500

Net income                 $10,700

What is the income statement?

The income statement is a financial statement that shows the financial performance of a business over a period.

In the income statement, the total expenses are deducted from the total revenue to compute the profit or loss.

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Question Completion:

Use the following selected accounts and amounts with normal balances from Buildex Company's adjusted trial balance to prepare its income statement for the year ending December 31. Hint: Not all accounts need to be used.

Cash                        $10,400           Depreciation expense $4,700

Building                   185,000           Wages expense          52,000

Accounts payable      9,400           Insurance expense        4,400

Services revenue    70,500           Supplies expense          2,700

Interest revenue        5,700           Utilities expense             1,700

100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!

Answers

We need to plug in the numbers: h = 2 x 136.5/6+15

Next, we add the two bases to get 21: 6+15=21 (h=2 x 136.5)

Then, divide the total of the two bases (21) from the area to get 6.5: 136.5/21-6.5

Finally we multiply 2 by 6.5: 2 x 6.5= 13
The height if this trapezoid is 13.

Answer:

13cm

Step-by-step explanation:

The area of a trapezoid is given by the formula:

Area = ½*(b1+b2)*h

where:

b1 and b2 are the lengths of the bases of the trapezoid h is the height of the trapezoid

In this problem, we are given that b1 = 6 cm, b2 = 15 cm, and Area = 136.5 square centimeters.

Plugging these values into the formula, we get:

136.5 = ½*(6 + 15)*h

Solving for h, we get:

136.5=10.5h

h = 136.5/10.5=13centimeters

Therefore, the height of the trapezoid is 13 centimeters.

calculation of average speed of a car travelling at 200 km in 2 hours 30 minutes

Answers

The average speed of the car is 80 km per hour

Calculation of average speed of the car

From the question, we have the following parameters that can be used in our computation:

Distance = 200 km

Time = 2 hours 30 minutes

using the above as a guide, we have the following:

Speed = Distance/Time

substitute the known values in the above equation, so, we have the following representation

Speed = 200/2.5

Evaluate

Speed = 80 km per hour

Hence, the average speed of the car is 80 km per hour

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hat amount did she get back? (h) Ujeli had 11 pencils. She kept 3 pencils for herself and divided the remaining pencil equal among 4 of her friends. How many pencils did she give to each of them? ​

Answers

Answer:

2

Step-by-step explanation:

Ujeli had 11 pencils and she kept 3 so 11-3 = 8

so that means that the remaining pencil were dived by 4 (8÷2) = 2

For what value of x is the rational expression below undefined?
x-3
3+x
A. 3
OB. -1
O C. 0
OD. -3

Answers

Answer:

x= -3

Step-by-step explanation:

x-3

-----------

x+3

This expression is undefined when the denominator is zero.

x+3 =0

x= -3

If you are traveling 14 miles per hour, how many inches would you travel in 3 seconds? (1 mile = 5280 feet; 1 foot = 12 inches) (Convert 3 seconds to inches)

Answers

To convert the speed from miles per hour to inches per second, we need to perform the following conversions:

1 mile = 5280 feet
1 foot = 12 inches

First, let's convert the speed from miles per hour to inches per hour:
14 miles/hour * 5280 feet/mile * 12 inches/foot = 14 * 5280 * 12 inches/hour

Next, we need to convert hours to seconds since we want the distance traveled in 3 seconds:
(14 * 5280 * 12 inches/hour) * (1 hour/3600 seconds) = 14 * 5280 * 12 * 1/3600 inches/second

Now, we can calculate the distance traveled in 3 seconds:
Distance = Speed * Time = (14 * 5280 * 12 * 1/3600 inches/second) * 3 seconds

Simplifying the expression:
Distance = (14 * 5280 * 12 * 3) / (3600) inches

Calculating the value:
Distance = 7392 inches

Therefore, if you are traveling at a speed of 14 miles per hour, you would travel 7392 inches in 3 seconds.

A population data set produced the following information N-250 Σx=9880, Σy=1456. Σxy-85080 Σx²=485870, Σy² = 135675 Find the value of oe and p²

Answers

The value of p² is approximately 0.999999528.

To find the value of oe (the standard error of estimate) and p² (the coefficient of determination), we can use the given population data set information.

The formula for the standard error of estimate (oe) is:

oe = √((Σy² - (Σy)² / N) / (N - 2))

Substituting the given values, we have:

oe = √((135675 - (1456)² / 250) / (250 - 2))

oe = √((135675 - 2124736 / 250) / 248)

oe = √(541.96)

oe ≈ 23.27

Therefore, the value of oe is approximately 23.27.

The coefficient of determination (p²) can be calculated using the formula:

p² = 1 - (Σxy - (Σx × Σy) / N) / ((Σx² - (Σx)² / N) × (Σy² - (Σy)² / N))

Substituting the given values:

p² = 1 - (85080 - (9880 × 1456) / 250) / ((485870 - (9880)² / 250) × (135675 - (1456)² / 250))

p² = 1 - (85080 - 14358080 / 250) / ((485870 - 968144 / 250) × (135675 - 2124736 / 250))

p² = 1 - (85080 - 57432.32) / (478352.56 × 123346.74)

p² = 1 - (27647.68) / (59022875580.02)

p² ≈ 0.999999528

Therefore, the value of p² is approximately 0.999999528.

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please help fast !!!

Answers

The coordinate of vertices of DEF are;

D = ( -4, -3)

E = ( -7, 4)

F =( -7, -3)

Here, we have,

Reflection in the y-axis: The reflection of point (x, y) across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse  (x,y)→( -x,y) .

First, triangle ABC is reflected across the y axes.

So, we have:

(x,y)→( -x,y)

then, translated down 5 units.

so, transformation rule on ABC, we have:

(x,y)→( -x , y - 5)

so, the coordinate of vertices of DEF are;

D = ( - 4, 2 - 5) = ( -4, -3)

E = ( -7, 9 - 5) = ( -7, 4)

F = (-7 , 2 - 5) = ( -7, -3)

Hence, the coordinate of vertices of DEF are;

D = ( -4, -3)

E = ( -7, 4)

F =( -7, -3)

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Erica is 33 years old. She has $580 in a checking account, $3400 in a savings
account, $22,000 in a retirement account, and owns a car worth $7700. What
is the total value of her liquid assets?
A. $3400
B. $3980
C. $33,680
D. $29,700

Answers

The total value of her liquid assets would be = $3,980. That is option B.

What is a liquid asset?

An asset is said to be a liquid asset because it can easily be converted into cash in a short period of time.

Examples of liquid assets include the following:

Cash in checking accountCash in savings account

Therefore, the total value of liquid assets = $580+$3400 = $3980

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Recta de pendiente 1⁄4 que pasa por (3,0).

Answers

The equation of the line with a slope of 1/4 that passes through the point (3,0) is y = 1/4x - 3/4.

To find the equation of a line with a slope of 1/4 that passes through the point (3,0), we can use the point-slope form of the equation of a line.

The point-slope form of a line is:

y - y1 = m(x - x1)

where (x1, y1) is the given point and m is the slope.

Substituting the values into the formula, we have:

y - 0 = 1/4(x - 3)

Simplifying:

y = 1/4(x - 3)

Distributing 1/4 throughout the expression:

y = 1/4x - 3/4

Therefore, the equation of the line with a slope of 1/4 that passes through the point (3,0) is y = 1/4x - 3/4.

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7.5, 8.5, 14.5 are these can form a triangle?

Answers

No, the sides with lengths 7.5, 8.5, and 14.5 cannot form a triangle.

To form a triangle considering three lengths of sides, the sum of the lengths of any two sides must be greater than the length of the third side.

Checking the above condition

1. The sum of 7.5,8.5 is 16, which is greater than 14.5. So, the condition is satisfied.

2. The sum of 7.5, 14.5 is 22, which is greater than 8.5. So, the condition is satisfied.

3.  The sum of 8.5 and 14.5 is 23, which is less than 7.5. The condition is not satisfied.

Since the sum of the two shorter sides 8.5 and 14.5 is not greater than the longest side 7.5 these three sides with given lengths cannot form a triangle.

Therefore, the sides with lengths 7.5, 8.5, and 14.5 cannot form a triangle.

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solve each equation 1/3a= -15

Answers

The solution to the equation 1/3a = -15 is a = -45

How to determine the solution to the equation

from the question, we have the following parameters that can be used in our computation:

1/3a = -15

Multiply 3 to both sides of the equation

so, we have the following representation

3 * 1/3a = -15 * 3

When the products are evalated, we have

a = -45

Hence, the solution to the equation is a = -45

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Translate the following phrase into an algebraic expression. Do not simplify. Use the variable names "x" or "y" to describe the unknowns.


8 divided by the sum of a number and 4

Answers

Answer:

Step-by-step explanation: you are sped that is the answer black n

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