The total number of labor hours for a construction project by week x is given by: Week 1 4 7 10 13 16 19 Total hours 25 158 1254 5633 9280 10,010 10,100 Look at its scatter plot, an appropriate model for this data is:

Answer:

7π/4 radians = 315°, Quadrant IV

sin(315°) = -√2/2

cos(315°) = √2/2

tan(315°) = -1

Step-by-step explanation:

Answer:

distinctly over here I think so

The correct answer is the fourth one, as it pinpoints both dots perfectly

Answer:

The length of MN is 4

Choose B

Answer:

The gradient is -0.25

Step-by-step explanation:

Given

[tex](x_1,y_1) = (-5,3)[/tex]

[tex](x_2,y_2) = (5,0.5)[/tex]

Required

The gradient (m)

This is calculated as:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

So, we have:

[tex]m = \frac{0.5-3}{5--5}[/tex]

[tex]m = \frac{-2.5}{10}[/tex]

[tex]m = -0.25[/tex]

Answer:

1. 6 (2a-3b)

6×2a - 3b

=12a-18b

2. a(2ab+3)

a×2ab+3

=2a²b + 3a

3. (x-4)(3x)

=3x² - 12x

just kembangkan... answer my question plss..help me.

Answer:

hope it helps much

Answer:

[tex]\frac{a}{c}[/tex] = [tex]\frac{3}{20}[/tex]

Step-by-step explanation:

[tex]\frac{a}{c}[/tex] = [tex]\frac{a}{b}[/tex] × [tex]\frac{b}{c}[/tex] = [tex]\frac{2}{5}[/tex] × [tex]\frac{3}{8}[/tex] = [tex]\frac{6}{40}[/tex] = [tex]\frac{3}{20}[/tex]

Answer:

-9

Step-by-step explanation:

Since the threes are in parenthesis, you multiply them first then apply the negative sign.

I hope this helps!

Answer:

-9

Step-by-step explanation:

Multiplying 3 by -3 will get you -9. You know it's negative because only one number is negative and 3*3=9.

Answer:

The zeroes of f(x) = (x-7)(x+8) are 7 and -8.

Step-by-step explanation:

You have to figure out what makes each of the equal to zero.

Step 1 : Make the 2 equations both equal 0.

x-7 = 0

x+8 = 0

Step 2: Solve for x

x-7 = 0

x=7

x+8 = 0

x=-8

So 7 and -8 are both zeroes of this function.

Answer:

$40,000

Step-by-step explanation:

If 5 breads cost $100, then 1 bread will cost 100/5=20.

So if 1 bread cost $20, then 2000 breads will cost 2000*20=$40,000.

Answer:

$40000

Step-by-step explanation:

5 breads=$100

1 bread=$100/5=$20

2000 breads= $20 x 2000 = $40000

Answer:

43200 yd³

Step-by-step explanation:

The water reservoir is a rectangular solid that is a three dimensional shape with six quadrilateral faces (cuboid).

This reservoir has a base of 60 yards by 30 yards, and a vertical height of 30 yards. Therefore:

Volume of the reservoir = area of base * vertical height = 60 * 30 * 30 = 54000 yd³

This reservoir hence have a volume of 54000 yd³ when filled up with water.

After 3 months, the height of the water was down to 6 yards therefore the the volume is:

Volume after 3 months = area of base * vertical height = 60 * 30 * 6 = 10800 yd³

The amount of water used after 3 months = volume of water at beginning - volume of water after 3 months

The amount of water used after 3 months = 54000 - 10800 = 43200 yd³

Step-by-step explanation:

We can rewrite the given equation as

[tex]x^2 + \frac{1}{5}x - \frac{12}{25} = (x + \frac{4}{5})(x - \frac{3}{5})[/tex]

As a check, let's multiply out the factors:

[tex](x + \frac{4}{5})(x - \frac{3}{5}) = x^2 - \frac{3}{5}x + \frac{4}{5}x - \frac{12}{25}[/tex]

[tex]= x^2 + \frac{1}{5}x - \frac{12}{25}[/tex]

and this is our original equation.

9514 1404 393

Answer:

  B. only (-2, 9)

Step-by-step explanation:

A graph of the equation makes it easy to see that (-2, 9) is a solution and (2, -9) is not.

You can try these values of x in the equation to see what the corresponding y-values are.

  y = -2{-2, 2} +5 = {4, -4} +5 = {9, 1}

Points on the line are (-2, 9) and (2, 1).

(2, -9) is not a solution.

Answer:

B

Step-by-step explanation:

I know it is B. I know it because I put b in and I got it right on khan academy

Answer:

The answer is "840".

Step-by-step explanation:

Following are the number of ways in which selecting a team A  by 9 children:

[tex]= ^{9_{C_{3}}\\\\\\[/tex]

[tex]=\frac{9!}{3! \times 6!} \\\\=\frac{9\times 8\times 7\times 6!}{3 \times 2\times 1\times 6!}\\\\=\frac{9\times 8\times 7}{3 \times 2\times 1}\\\\=\frac{3\times 4\times 7}{1}\\\\=\frac{84}{1}\\\\=84[/tex]

Following are the number of ways in which selecting a team B  by remaining 6 children:

 [tex]= ^{6}_{C_{3}}[/tex]

[tex]= \frac{6!}{(3! \times 3!)}\\\\= \frac{6!}{(3\times 2\times 1 \times 3!)}\\\\= \frac{6\times 5 \times 4 \times 3!}{(3\times 2\times 1 \times 3!)}\\\\= \frac{ 5 \times 4 \times 3!}{3!}\\\\= 5 \times 4 \\\\=20[/tex]

Following are the number of ways in which selecting a team C  by remaining 3 children:

[tex]= ^{3}_{C_{3}}\\\\=\frac{3!}{3!}\\\\= 1[/tex]

Following are the number of ways in which making 3 teams by 9 children:

[tex]= \frac{(84 \times 20 \times 1)}{3!}\\\\= \frac{(84 \times 20 )}{6}\\\\= 14 \times 20\\\\= 280\\\\[/tex]

(Note: we've split by 3! Because it also is necessary to implement three teams between themselves)

Now 3 leagues have to be played. One is going to be run by each team.

That is the way it is

Different possible divisions

[tex]= 280 \times 3!\\\\= 280 \times (3 \times 2 \times 1)\\\\= 840[/tex]  

Answer:

The price elasticity of demand is -10

Step-by-step explanation:

Given

[tex]p_1,p_2 = 50,40[/tex]

[tex]q_1,q_2 = 400,500[/tex]

Solving (a): The coefficient of price elasticity of demand (k)

This is calculated as:

[tex]k = \frac{\triangle q}{\triangle p}[/tex]

So, we have:

[tex]k = \frac{500 - 400}{40 - 50}[/tex]

[tex]k = \frac{100}{-10}[/tex]

[tex]k = -10[/tex]

Because |k| > 0, then we can conclude that the company made a wise decision.

Answer:

7 : 8

Step-by-step explanation:

that is the procedure above

Answer:

1/16,807 chance that they all will be born on Friday

Probably 5/7, but don't take my word for it.

Step-by-step explanation:

There are 7 days of the week.

There is a 1/7 chance for one kid to be born on a certain day of the week.

We can attach an exponent of 5 since the 1/7 is a constant, and I'm not going to bother typing the same thing over and over again.

(1/7)^5 = 1/16,807.

The probability of all of them being born on Friday or anyday is 1/16,807.

The probability of each person being born on a different day of the week is  probabily going to be 5/7, but it could be different, because you need to factor in the requirement that they are not born on the same day.

I can guarantee that the first question is probably correct, but not the second.

Work Shown:

Apply the slope formula

m = (y2-y1)/(x2-x1)

m = (1-3)/(3-(-1))

m = (1-3)/(3+1)

m = -2/4

m = -1/2 is the slope

In decimal form, this converts to -0.5, though usually slopes are in fraction form.

Answer:

The correct answer is = 15.

Step-by-step explanation:

Formula:

The sum of the first n terms of an arithmetic progression with first term a and constant difference d is

[tex]S_n=\dfrac{n}{2}[2a+(n-1)d[/tex]

using this formula in this problem

Solution:

The sum of the first ten terms is

[tex]S_{10}=\dfrac{10}{2}[2a+(10-1)d[/tex]

[tex]S_{10}=5(2a+9d)[/tex]

The sum of the 20th, 21st, and 22nd terms is three times the 21st term:

[tex]3a_{21}=3(a+(21-1)d)[/tex]

[tex]3a_{21}=3(a+20d)[/tex]

[tex]3a_{21}=3a+60d[/tex]

The problem then tells us

[tex]S_{10}=3a_{21}[/tex]

[tex]10a+45d=3a+60d[/tex]

[tex]7a=15d[/tex]

there are only positive integers and the first term a is less than 20 as given. Since 7 and 15 have no common factor, the only explanation of the requirements is a = 15 and d = 7. So the progression is

then, 15, 22, 29, 36, ...

The problem says to find the number of terms n for which the sum is 960:

putting value in the formula

[tex]30n+7n^{2}-7n=1920\\7n^{2}+23n-1920=0[/tex]

solving quadratic will give n = 15

thus, the correct answer is 15.

Answer:

a = 19

Step-by-step explanation:

Form a equation using y = mx + c form

(27) = (-8)(10) + c

27 = -80 + c

107 = c

y = -8x + 107

Substitute the x value to find a

y = -8(11) + 107

y = 19

Answer:

P(X < 995) = 0.4761

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

CNBC recently reported that the mean annual cost of auto insurance is 1013 dollars. Assume the standard deviation is 284 dollars.

This means that [tex]\mu = 1013, \sigma = 284[/tex]

Find the probability that a single randomly selected value is less than 995 dollars.

This is the p-value of Z when X = 995. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{995 - 1013}{284}[/tex]

[tex]Z = -0.06[/tex]

[tex]Z = -0.06[/tex] has a p-value of 0.4761. So

P(X < 995) = 0.4761

Answer:

Hello friend kya in snap and p to Trisha

Answer:

338

Step-by-step explanation:

1×2=2 2+6+10+14+18+22+26+30

3×2=6 +34+36+38+42+46+50=338

5×2=10

7×2=14

9×2=18

11×2=22

13×2=26

15×2=30

17×2=34

19×2=38

21×2=42

23×2=46

25×2=50

Answer:

21.36 meters

Step-by-step explanation:

Given

[tex]h = 37m[/tex]

[tex]\theta = 60^o[/tex]

Required

The distance from the base (b)

The question illustrates right-angled triangle (see attachment)

To solve for (b), we make use of tangent formula

[tex]\tan(60)=\frac{h}{b}[/tex]

Make b the subject

[tex]b =\frac{h}{\tan(60)}[/tex]

So:

[tex]b =\frac{37}{\tan(60)}[/tex]

[tex]b =\frac{37}{1.7321}[/tex]

[tex]b =21.36[/tex]