Three friends arrive at a party. Their arrival increases the number of people at the party by 20%. In total, how many people are now at the party

Answer:

Step-by-step explanation:

slope intercept form

y=mx+c

Answer:

[tex]y=-2x+2[/tex]

Step-by-step explanation:

Hi there!

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (-1, 4) and (0, 2)

[tex]=\frac{2-4}{0-(-1)}\\=\frac{-2}{0+1}\\=\frac{-2}{1}\\= -2[/tex]

Therefore, the slope of the line is -2. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-2x+b[/tex]

2) Determine the y-intercept

[tex]y=-2x+b[/tex]

Recall that the y-intercept is the value of y when the line crosses the y-axis, meaning that the y-intercept occurs when x is equal to 0.

One of the given points is (0,2). Notice how y=2 when x=0. Therefore, the y-intercept of the line is 2.

Plug this back into the equation:

[tex]y=-2x+2[/tex]

I hope this helps!

Answer:

3.14

Step-by-step explanation:

[tex]\pi[/tex] or commonly known as Pi is equal to 3.14 so it will fit in between 3 and 4 but closer to 3.

Answer:

the water will rise 10 in each hour after 4 hours the water will be 40 in deep and it will take 8 hours for the water to reach a depth of 80 in

The water rises 10 inches each hour. The water is 4 inches deep is the water after four hours. It will take 8 hours for the water to reach a depth of 80 inches.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

A pipe cracked overnight and started to leak into a basement.

The graph represents the depth (d) of the water over time (t).

As per the given graph, the required solution would be as:

Take two points (1, 10) and (5, 50) in the given graph

The linear function will be :

d - 10 = (50-10)/(5-1)(t - 1)

d - 10 = (40/4)(t - 1)

d = 10(t - 1) + 10

d = 10t - 10 + 10

d = 10t

Here slope of the given function is 10, which means 10 inches the water rise each hour.

The value of time (t) = 4 hr corresponds to the depth of water (d) is

d = 10(4) = 40

So, the water is 40 inches deep is the water after four hours

The value of depth of water (d) = 80 in corresponds to the time (t) is

80 = 10t

t = 80/10 = 8

So, It will take 8 hours for the water to reach a depth of 80 inches

Learn more about the graphs here:

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Answer:

P(-8,6), Q(-5,2), R(2,1)

Answer:

a. five, twelve, thirteen

Answer: Last one I think

Step-by-step explanation:

Answer:16

Step-by-step explanation:I am doing the test :D

The surface area of the square pyramid is S = 736 cm²

The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid

Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Given data ,

Let the surface area of the pyramid be S

Let the side length of the pyramid be s = 16 cm

So , Area of base B = (side length)² = 16² = 256 cm²

Next, let's find the area of each triangular face. Since the pyramid is a regular square pyramid, all the triangular faces are congruent.

The base is one side of the square base, which has length 16 cm. The height of the triangle is the slant height of the pyramid, which is given as 17 cm.

Using the Pythagorean theorem, we can find the height of the pyramid:

Height of the pyramid h = √(slant height² - ( base/2 )²)²

h = √(17² - 8²)

h = √225

h = 15 cm

Therefore, the area of each triangular face is:

Area of triangular face = (1/2) × base × height

Area of triangular face = (1/2) × 16 × 15

Area of triangular face = 120 cm²

Since there are 4 triangular faces, the total area of the triangular faces is:

Total area of triangular faces = 480 cm²

Finally, we can find the total surface area of the pyramid by adding the area of the base and the area of the triangular faces:

Total surface area = Area of base + Total area of triangular faces

Total surface area = 256 + 480

Total surface area = 736 cm²

Hence , the surface area is 736 cm²

To learn more about surface area of pyramid click :

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Step-by-step explanation:

a12 = 45 + (12-1)(-6)

= 45-66= -21

Step-by-step explanation:

yes, the other answer is correct.

just to explain a little bit more :

the sequence is clearly built by subtracting 6 from one element to the next.

in other words :

a1 = 45

a n = a n-1 - 6

in such a sequence you do the same operation/ calculation over and over again - once per new element.

the operation in this example is simple - as mentioned : subtract 6.

a1 just gives us a starting value (no operation done for for it) zu, the operation is done one time less than the running number of the element.

therefore, the general element generation algorithm/ formula is :

a n = a1 - (n-1)*6

Step-by-step explanation:

secx=1/cosx

=1/(root of 11/6)

=6/root 11

=6root 11/11

Answer:

sec θ = [tex]\frac{6\sqrt{11} }{11}[/tex]

Step-by-step explanation:

Using the identity

sec x = [tex]\frac{1}{cosx}[/tex]

cosθ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{\sqrt{11} }{6}[/tex] , then

secθ = [tex]\frac{6}{\sqrt{11} }[/tex] × [tex]\frac{\sqrt{11} }{\sqrt{11} }[/tex] = [tex]\frac{6\sqrt{11} }{11}[/tex]

Answer:

.......................

Step-by-step explanation:

Answer:

2/3

1

3/2

Step-by-step explanation:

[tex]\frac{27}{7} n>\frac{4}{3}[/tex]

[tex]n>\frac{7}{27}*\frac{4}{3}[/tex]

[tex]n>\frac{28}{81}[/tex]

Answer:

7x

Step-by-step explanation:

The sum angle of triangle is 180°

The angle of line is 180°

The right angle is 90°

x=180-115

x=65°

y=180-65-90

y=90-65

y=25

Answer:

The average weight is 9 19/40

Step-by-step explanation:

To find averages, you add all the quantities and divide by the amount of quantities (9.5+7+8.5+10 5/8+11.75 /5)

Hope this helps! Have a nice day!

Answer:

360°

Step-by-step explanation:

360° because ABC is 180°

Answer:

0.2222222222222222...

Step-by-step explanation: if not im sorry

Answer:

2.08008

so its = 2.1

i think

Answer:

45 rand

Step-by-step explanation:

3 large pizzas is 10 ×3=R30

5 small drinks is 1.50×5=R7.50

tip of R7.50

add all

30+7.50+7.50

=45

Answer: The answer to this problem is the second choice “As the x-value increases by 1, the y-value decreases by 1/2, the x-intercept is -2.

Have a nice day!

Answer: Choice C

sin(26) = x/10

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

Explanation:

With respect to the 26 degree angle, the x is the opposite side and the 9 is the length of the adjacent side.

We can say tan(26) = x/9 because tangent is the ratio of opposite over adjacent. In other words, tan(angle) = opposite/adjacent

Unfortunately, tan(26) = x/9 is not an answer choice.

Luckily though, we have other trig ratios to work with.

The sine ratio ties together the opposite side and hypotenuse

sin(angle) = opposite/hypotenuse

sin(26) = x/10

---------

Extra info (optional section)

Solving for x leads to...

sin(26) = x/10

10*sin(26) = x

x = 10*sin(26)

x = 4.38371 approximately

Also, note how cos(26) = 0.89879 approximately, which is fairly close to 9/10 = 0.9. This indicates some rounding error is going on when your teacher is displaying either the 9, the 10, or the 26 degree angle.

Answer:

Mean = (2.2 + 2.4 + 2.5 + 2.5 + 2.6 + 2.7)/6 = 2.48

Standard deviation = √(summation(x - mean)²/n

n = 6

Summation(x - mean)² = (2.2 - 2.48)^2 + (2.4 - 2.48)^2 + (2.5 - 2.48)^2 + (2.5 - 2.48)^2 + (2.6 - 2.48)^2 + (2.7 - 2.48)^2 = 0.1484

Standard deviation = √(0.1484/6

s = 0.16

Standard error = s/√n = 0.16/√6 = 0.065

Part B

Confidence interval is written as sample mean ± margin of error

Margin of error = z × s/√n

Since sample size is small and population standard deviation is unknown, z for 98% confidence level would be the t score from the student t distribution table. Degree of freedom = n - 1 = 6 - 1 = 5

Therefore, z = 3.365

Margin of error = 3.365 × 0.16/√6 = 0.22

Confidence interval is 2.48 ± 0.22

Part C

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 2.3

For the alternative hypothesis,

H1: µ > 2.3

This is a right tailed test

Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 6

Degrees of freedom, df = n - 1 = 6 - 1 = 5

t = (x - µ)/(s/√n)

Where

x = sample mean = 2.48

µ = population mean = 2.3

s = samples standard deviation = 0.16

t = (2.48 - 2.3)/(0.16/√6) = 2.76

We would determine the p value using the t test calculator. It becomes

p = 0.02

Assuming significance level, alpha = 0.05.

Since alpha, 0.05 > than the p value, 0.02, then we would reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the mean absolute refractory period for all mice when subjected to the same treatment increased.

Step-by-step explanation:

Answer:

4x^2−1

Step-by-step explanation:

Answer:

6,008.3

Step-by-step explanation:

[tex]V=\pi r^{2} h\\V=\pi 7.5^{2} 34[/tex]

Answer:

2nd one is the nearest tenth

Step-by-step explanation:

V=πr²h

Solving it

V=22/7×7.5×7.5×34

V=6010.714286 cm ³

36% I think.... Because there's 100 ppl and 36 of them like cats

Answer:

- Take the length and width, and multiply

Step-by-step explanation:

Answer:  C

Step-by-step explanation: z-value comes from equatio

 z = number of points - average points ) / deviation.

z = 0,5 is over average value and 0,5 standard deviation higher than average result.

Answer:

the answer is c. Ahmad's test score is 0.5 standard deviations above the mean for all students taking the same test.