Can someone help me on 1, 2, 3 and 4 plz I really need help

Answer:

Solution is 1 (one).

Step-by-step explanation:

Answer:

The growth at week 5 is 20 inches

Step-by-step explanation:

Topic: Arithmetic Progression

Given

From the table,

At Week 1: Total length = 4

At Week 2: Total length = 8

At Week 3: Total length = 12

There are two ways of solving this;

Method 1

Between each interval, the vine grows by 4 inches. This is supported by the calculation below

From week 1 to week 2; 8 - 4 = 4 inches

From week 2 to week 3; 12 - 8 = 4 inches

This means that; the vine will grow by 4 inches to week 4;

Hence, at week 4;

Total length = Week 3 + 4

Total length = 12 + 4 = 16

Similarly, the vine will grow by 4 inches to week 5;

Hence, at week 5

Total length = Week 4 + 4

Total length = 20 + 4 = 24

But this method is not always advisable because it'll be tedious to use for large data; hence the need for method 2

Method 1

Between each interval, the vine grows by 4 inches. This is supported by the calculation below

Here, we make use of arithmetic progression formula

[tex]T_{n} = a + (n - 1)d[/tex]

Take note of the following

a = First term = The growth at first week

a = 4

d = common difference = rate of growth

From week 1 to week 2; the rate of growth is 8 - 4 = 4 inches

From week 2 to week 3; the rate of growth is 12 - 8 = 4 inches

So, d = 4

n = nth term = 5; i.e the 5th week

Tn = the rate of growth at nth week;

In this case, Tn = 5

By substitution

[tex]T_{n} = a + (n - 1)d[/tex] becomes

[tex]T_{5} = 4 + (5 - 1)4[/tex]

[tex]T_{5} = 4 + 4 * 4[/tex]

[tex]T_{5} = 4 + 4 * 4[/tex]

[tex]T_{5} = 20[/tex]

Hence, the growth at week 5 is 20 inches

The expression representing the perimeter of the rectangle with the longer side x and the shorter side 3 units less than the longer side is P = 4x - 6.

If the longer side of a rectangle is represented by the variable x, and the shorter side is 3 units less than the longer side, then the shorter side can be expressed as x - 3. The perimeter (P) of a rectangle is given by the formula P = 2L + 2W, where L is the length (the longer side) and W is the width (the shorter side). Plugging in the expressions for L and W in terms of x, the perimeter of the rectangle can be represented as P = 2x + 2(x - 3).

Simplifying this expression, we get P = 2x + 2x - 6, which simplifies further to P = 4x - 6.

Therefore, the expression that represents the perimeter of this specific rectangle is P = 4x - 6.

Answer:

about 6.3✔

Step-by-step explanation:

Answer:

Step-by-step explanation:

-5+8 =3

-3-7=4

Answer 3.4

Answer: $24.12

Step-by-step explanation:

1.8 * 13.4 = 24.12

Answer:

The amount of money which she earn as commission after selling the house is $ 10,740 .

Step-by-step explanation:

Given as :

The selling price of the Mrs. Miller house = $ 179, 000

The percentage of commission which she earn = 6 % of the selling price

Let the amount of money she earn = $ x

Now, According to question

The amount of money she earn = 6 % of the selling price of house

I.e the amount of money she earn = [tex]\frac{6}{100}[/tex]×$ 179,000

Or, the amount of money she earn = 6 × 1790

∴ The amount of money which she earn as commission = $ 10,740

Hence The amount of money which she earn as commission after selling the house is $ 10,740 . Answer

Mrs. Miller earns a commission of $10,740 on selling a house for $179,000.

To solve this problem, we need to calculate 6% of $179,000. The commission amount can be found by multiplying $179,000 by 6% (or 0.06). So, the commission earned by Mrs. Miller would be $179,000 * 0.06 = $10,740. Therefore, Mrs. Miller earns $10,740 as her commission.

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Answer:

D

Step-by-step explanation:

Range

The graph that accompanies this question is in the figure attached.

Answer:

Explanation:

The assumption that Elena worked at a constant rate permits you to build a linear model for the the number of rows Elena completes (dependent variable) in function of the time spent knitting (independent variable).

The coordinates of the points shown on the graph are (14,19), (20,22), and (30,27), and you need to find how many rows had been completed before Elena started working.

The number of rows that had been completed before she started working is the number of rows for time equal 0, which is the y-intercept of the function that models the situation.

Then, what you need to do is to find the equation of the line, using two of the three given points, and then tell the y-intercept.

a) Find the slope, m:

b) Use one point (20, 22) to find the equation of the line:

The constant term of the slope-intercept equation, ie. 12, represents the y-intercept. Thus, your answer is 12.

Answer:

12

Step-by-step explanation:

Answer:

-4 • (x - 5) • (2x + 3)

Step-by-step explanation:

Answer:

I wasn't sure if it was a 8x^2 or a -8x^2. So I have done both.

The factor of -8x^2+28x+60 is -8(x^2-11).

The factor of 8x^2+28x+60 is 4(2x^2+7x+15)

Answer:

z=4

Step-by-step explanation:

1/4z-2/7=5/7

1/4z= 5/7+2/7

1/4z=1

z=4

Answer:

69 feet.

Step-by-step explanation:

See the attached diagram.

AB is the height of the flagpole and DE is the height of Samantha.  

Now, ∠ CEB = 68°

Now, AC = DE = 4.6 feet, and CE = AD = 26 feet {Given}

Then, [tex]\tan 68 = \frac{CB}{CE} = \frac{CB}{26}[/tex]

⇒ CB = 26 tan 68 = 64.35 feet.

Now, height of the flagpole is AB = AC + CB = 4.6 + 64.35 = 68.95 feet ≈ 69 feet. (Answer) (Approximate}

Answer:

l = 48(1/4) = 12 cm

w = 20(1/4) = 5 cm

Length: 48 cm

Width: 20 cm

The length of the smaller rectangle is 12 cm, which is one-quarter of the length of the original figure. Therefore, the length of the original figure is 12 cm * 4 = 48 cm.

The width of the smaller rectangle is 5 cm, which is one-quarter of the width of the original figure. Therefore, the width of the original figure is 5 cm * 4 = 20 cm.

The percent decrease is 53%

Step-by-step explanation:

The percent decrease is given by:

[tex]Percent-Decrease = \frac{Old\ value-New\ value}{Old\ value} * 100[/tex]

Here

Old Value = 17.86 hours

New Value = 8.40 hours

So,

[tex]Percent-Decrease = \frac{17.86-8.40}{17.86}*100\\=\frac{9.46}{17.86}*100\\=0.5296*100\\=52.96\%[/tex]

Rounding off to nearest whole number

53%

So,

The percent decrease is 53%

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Answer:

n>=4

Step-by-step explanation:

Since the inequality shows that n can equal or be greater than 4, that must mean that 4=n and 4>n, so 4>=n.

Final answer:

To find the length of KD in ΔAKM, where KD is perpendicular to AM, and given AK = 6, KM = 10, and m∠AKM = 93º, we use trigonometry. Using the sine function, we determine that KD ≈ 9.99.

Explanation:

The question is about finding the length of KD, where KD is perpendicular from K to AM in triangle AKM, given AK = 6, KM = 10, and the measure of angle AKM is 93º. To solve this, we can use trigonometry, specifically the functions related to a right-angled triangle.

Since KD is perpendicular to AM, ΔAKD is a right-angled triangle at D. We can use the sine function, which is defined as the ratio of the length of the opposite side to the hypotenuse. In this case, α = m∠AKM, opposite = KD, and hypotenuse = KM.

Therefore, sine(α) = opposite/hypotenuse = KD/KM. Since we know that sine(93º) ≈ 0.999, KM = 10, we can find KD by rearranging the equation: KD = KM × sine(93º). Substituting the values gives KD = 10 × 0.999 ≈ 9.99.

Add the two monthly incomes together:

1400 + 1100 = 2500 a month.

There are 12 months in a year, multiply the monthly income by 12:

2500 * 12 = $30,000 per year.

Answer:

$30,000 per year.

Step-by-step explanation:

Add the two monthly incomes together:

1400 + 1100 = 2500 a month.

There are 12 months in a year, multiply the monthly income by 12:

2500 * 12 = $30,000 per year.

Answer:

320, -1280

Step-by-step explanation:

r = -4

-5 , 20 , -80 , 320 , -1280

Final answer:

The next two terms of the geometric sequence (-5, 20, -80) are 320 and -1280, determined by multiplying each term by the common ratio of -4.

Explanation:

To find the next two terms of the given geometric sequence (-5, 20, -80), we need to determine the common ratio. We can calculate the common ratio by dividing the second term by the first term or the third term by the second term.

The common ratio (r) is:

r = 20 / (-5) = -4

r = (-80) / 20 = -4

Now that we know the common ratio is -4, we use it to find the next two terms by multiplying the most recent term of the sequence by the common ratio.

Fourth term: -80 × -4 = 320

Fifth term: 320 × -4 = -1280

The next two terms of the sequence are 320 and -1280.

Answer:

  6x -3x^4

Step-by-step explanation:

Eliminate parentheses. Since the multiplying coefficient is +1, the parentheses can simply be dropped:

  = 3x +2x^4 +3x -5x^4

Add like terms (ones with the same exponent on the variable).

  = 3x +3x +2x^4 -5x^4 . . . . . . . group like terms together

  = (3+3)x +(2-5)x^4

  = 6x -3x^4

If you want at least 3 pounds of hamburgers, then $6 is enough to buy those 3 pounds of hamburgers. If you ONLY buy 3 Pounds, then you also have enough for 4 pounds of chicken. $3 a pound x 4 = $12. You have 2 dollars left to spare, which means you can buy another pound of hamburgers. So 4 pounds each are able to be purchased.

Answer:

x=4, y=5. (4, 5).

Step-by-step explanation:

5x+2y=30

3x-2y=2

------------------

8x=32

x=32/8

x=4

5(4)+2y=30

20+2y=30

2y=30-20

2y=10

y=10/2

y=5

The number that has 3 hundreds, 4 more tens than hundreds, and 1 more one than hundreds is 374.

The student is asking us to construct a number based on place value criteria. To assemble this number, we will assign the digits to their appropriate places based on the given conditions. Three hundreds means the hundreds place must be 3, so we have '3' in the hundreds place. Since there are 4 more tens than hundreds, we add 4 to 3, giving us 7, which becomes the digit in the tens place. Lastly, there is 1 more one than hundreds, meaning we need to add 1 to 3 to get 4 for the ones place. Therefore, our number is 374, as it meets all the conditions: 3 hundreds, 7 tens (which is 4 more than the hundreds), and 4 ones (which is 1 more than the hundreds).

Answer:

280

Step-by-step explanation:

you multiply 10 to 33 and that is p

Answer:

p=308

Step-by-step explanation:

33/p=3/28

cross product

p*3=33*28

3p=924

p=924/3

p=308

Answer:

11 small frames, 5 large frames

Step-by-step explanation:

small: x

large : y

x + y = 16

4x + 14y = 114

Multiply first equation by 4 and subtract.

4x + 4y = 64

-(4x + 14y = 114)

-10y = -50

y = 5

Substitute y into the first equation.

x + 5 = 16

x = 11

The value of "y" is 3

Given that,

[tex]y+\frac{4}{12}-y-\frac{1}{12}=\frac{y}{2}[/tex]

We have to solve for "y"

Let us simplify the given expression and solve for"y"

[tex]y+\frac{4}{12}-y-\frac{1}{12}=\frac{y}{2}[/tex]

On cross multiplication in L.H.S we get,

[tex]\frac{12 y+4-12 y-1}{12}=\frac{y}{2}[/tex]

Cancelling denominator 12 from both sides, we get

12y + 4 -12y - 1 = y

Again cancelling +12y and -12y we get

4 - 1 = y

y = 3

Thus the value of "y" is 3

Answer:

4 × 12=48

Step-by-step explanation:

A=Bh

48=4×12

48=48

Final answer:

To find the base and height of a parallelogram with an area of 48 square miles, apply the formula Area = Base x Height and then solve for the base and height values using the given area. In this case, the base and height would be 6 miles and 8 miles, respectively.

Explanation:

To find the base and height of a parallelogram, you can use the formula: Area = Base x Height. Given that the area is 48 square miles, and the parallelogram formula, you can find the base and height by solving the equation.

Given: Area = 48 square miles

Formula: Area = Base x Height

Plug in the Area value: 48 = Base x Height

Find the factors that multiply to 48 (e.g., 6 x 8)

The base and height would be 6 miles and 8 miles, respectively.

Answer:

Explanation:

Half-life time of a radioactive substance is the time for half of the substance to decay.

Thus, the amount of the radioactive substance that remains after a number n of half-lives is given by:

Where:

In this problem, you have that the half-live for your sample (polonium-210) is 138 days and the number of days elapsed is 330 days. Thus, the number of half-lives elapsed is:

Therefore, the amount of polonium-210 that will be left in 330 days is:

Answer:

f(j)=6j+5

f(1/3)=6*(1/3)+5

=2+5

=7

Answer:

C = 20 + 25h ..... Required identity

(C - 20) = 25(h - 0) ..... Point-slope form

C = 25h + 20 ..... Slope-intercept form.

25h - C = - 20 .... Standard form.

Step-by-step explanation:

A landscaper charges customers a one time fee and an hourly rate of $25.

If for 3 hours of work, it charges $95.

Then, C = C' + 25h ......... (1)  

Where C is the total charge, C' is the fixed charge and h is the number of hours he works.  

Therefore, putting C = $95 and h = 3, we get from equation (1),

95 = C' + 75  

⇒ C' = 20

Therefore, the equation (1) becomes C = 20 + 25h

Hence, this is the identity in the scenario. (Answer)

Now, the point-slope form of the equation is (C - 20) = 25(h - 0)

where slope is 25 and the point is (0,20).

Now, C = 25h + 20

is the slope-intercept form having slope 25 and y-intercept 20.

Now, the standard form of the equation is 25h - C = - 20 (Answer)  

Answer:

1.748*10^16

Step-by-step explanation:

(3.8*10^7)(4.6*10^8)=1.748*10^16

Answer:

Finally, the trip of Thomas will take an hour and fifty minutes more than the normal time it usually takes.

Step-by-step explanation:

1. Let's check all the information provided to answer the question:

Time of Thomas flight delay = 1 5/6 hours

Time of normal flight = x hours

2. How long did the trip finally take?

For calculating how long the trip finally took, we need to do the following sum:

Time of normal flight + Time of delay

Like we don't know the time of the normal flight, we will define it as x, then:

x + 1 5/6 hours

x + 1 hour and 50 minutes ⇒ 5/6 of an hour = 5/6 * 60 minutes = 50 minutes

Finally, the trip of Thomas will take an hour and fifty minutes more than the normal time it usually takes.