which digit is in the trillions place in 12,345,678,900,000

Answer:

the second to last one

Step-by-step explanation:

Sorry if it is incorrect!

Answer:

Step-by-step explanation:

a) image attached

b) Lets do the analysis in R , the complete R snippet is as follows

x<- c(89,177,189,354,362,442,965)

y<- c(.4,.6,.48,.66,.61,.69,.99)

# scatterplot

plot(x,y, col="red",pch=16)

# model

fit <- lm(y~x)

summary(fit)

#equation is

#y = 0.4041 + 0.0006211*X

# beta coeffiecients are

fit$coefficients

coef(summary(fit))[, "Std. Error"]

# confidence interval of slope

confint(fit, 'x', level=0.95)

The results are

> summary(fit)

Call:

lm(formula = y ~ x)

Residuals:

1 2 3 4 5 6 7

-0.05940 0.08595 -0.04151 0.03602 -0.01895 0.01136 -0.01346

Coefficients:

Estimate Std. Error t value Pr(>|t|)

(Intercept) 4.041e-01 3.459e-02 11.684 8.07e-05 ***

x 6.211e-04 7.579e-05 8.195 0.00044 ***

---

Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 0.05405 on 5 degrees of freedom

Multiple R-squared: 0.9307,   Adjusted R-squared: 0.9168 # model is able to capture 93% of the variation of the data

F-statistic: 67.15 on 1 and 5 DF, p-value: 0.0004403 , p value is less than 0.05 , hence model as a whole is significant

> fit$coefficients

(Intercept) x

0.4041237853 0.0006210758

> coef(summary(fit))[, "Std. Error"]

(Intercept) x

3.458905e-02 7.579156e-05

> confint(fit, 'x', level=0.95)

2.5 % 97.5 %

x 0.0004262474 0.0008159042

c)

> x=c(89,177,189,354,362,442,965)

> y=c(0.40,0.60,0.48,0.66,0.61,0.69,0.99)

>

> ### linear model

> model=lm(y~x)

> summary(model)

Call:

lm(formula = y ~ x)

Residuals:

1 2 3 4 5 6 7

-0.05940 0.08595 -0.04151 0.03602 -0.01895 0.01136 -0.01346

Coefficients:

Estimate Std. Error t value Pr(>|t|)    

(Intercept) 4.041e-01 3.459e-02 11.684 8.07e-05 ***

x 6.211e-04 7.579e-05 8.195 0.00044 ***

---

Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 0.05405 on 5 degrees of freedom

Multiple R-squared: 0.9307, Adjusted R-squared: 0.9168

F-statistic: 67.15 on 1 and 5 DF, p-value: 0.0004403

s_e is the Residual standard error from the model and its estimated value is 0.05405. s_e is the standard deviation of the model.  

d) 95% confidence interval

> confint(model, confidence=0.95)

2.5 % 97.5 %

(Intercept) 0.3152097913 0.4930377793

x 0.0004262474 0.0008159042

Comment: The estimated confidence interval of slope of x does not include zero. Hence, x has the significant effect on y at 0.05 level of significance.

 e)

> predict(model, newdata=data.frame(x=250), interval="confidence", level=0.95)

fit lwr upr

1 0.5593927 0.5020485 0.616737

f)

> predict.lm(model, newdata=data.frame(x=250), interval="prediction", level=0.95)

fit lwr upr

1 0.5593927 0.4090954 0.7096901

The linear equation written in the slope-intercept form is:

y = (-3/5)*x

The correct option is C.

A general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

Here we can see that the line crosses through the poin (0, 0), so the y-intercept is 0.

b = 0

y = a*x + 0

y = a*x

To find the value of a, we can use another point on the graph.

We can see that the linear equation passes through (5, - 3), replacing these values:

-3 = a*5

-3/5 = a

Then the linear equation is just:

y = (-3/5)*x

The correct option is C.

Learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

The coordinates of the inflection points are (3, 0) and it concave upwards

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

g(t) = t^2 - 27/t

Express properly

So, we have

g(t) = t² - 27/t

Calculate the second derivative

So, we have

g''(t) = 2 - 54/t³

Set the differentiated equation to 0

2 - 54/t³ = 0

So, we have

2t³ = 54

Divide by 2

t³ = 27

Take the cube roots

t = 3

Substitute t = 3 in g(t) = t² - 27/t

g(3) = 3² - 27/3

g(3) = 0

This means that the inflection point occurs at t = 3 and the coordinates of the inflection point are (3, 0)

Recall that

g''(t) = 2 - 54/t³

Next, we check if the second derivative exist at t = 0,

g''(0) = 2 - 54/0³

g(0) = undefined

The undefined value implies that the graph has a vertical inflection point at t = 0

And as such, the graph of the function is concave upward

Read more about inflection points at

https://brainly.com/question/29249123

#SPJ1

From the sample used to find out what psychology majors would join the club and if it is biased, we can say that;

- Yes, the sampling method is biased.

- The likely direction of the bias is because you only asked 5 people which

is  not a significant percentage of those offering psychology majors and as

such the 4 out of 5 gotten is likely going to be an over estimation of those

who are willing to pay to join this club.

We are told that;

Therefore, this would lead to sampling bias and thus the sample is biased.

Read more at; https://brainly.com/question/12637861

Answer:

The perimeter of the scale floor is 34 inches.

Step-by-step explanation:

To solve, we can set up fractions:

\(\frac{21}{7}=\frac{30}{x}\)

Cross multiply and you get:

21x = 210

Divide each side by 21:

x = 10

Since you are trying to find the perimeter of the floor, you can use this equation:

2w + 2l = p

Substitute to solve:

2 ( width = 10 )

2 ( length = 7 )

2 ( 7 ) + 2 ( 10 ) = p

14 + 20 = p

34 = p

Answer:

176.37 orrrr 176

Step-by-step explanation:

Answer:

176 pounds

Step-by-step explanation:

Answer:

f(x) \(\leq\) 3x + 4

g(x)  ≥ -1/2x - 5

Step-by-step explanation:

Point D is below f(x)  and above g(x)

Helping in the name of Jesus.

Answer:

mean = 24

Step-by-step explanation:

the mean is calculated as

mean = \(\frac{sum}{count}\)

the sum of the data set is

sum = 12 + 13 + 15 + 28 + 28 + 30 + 42 = 168

there is a count of 7 in the data set , then

mean = \(\frac{168}{7}\) = 24

The rate of speed that a vehicle must travel to cover 132 kilometers in one and a half hours is 88 kilometers per hour.

The rate of speed is the quotient of distance and time.

Similarly, the time taken to cover a distance can be determined as the quotient of distance and speed.

The formula describing the relationship between distance traveled, speed, and time is Distance = Rate of Speed x Time.

The total distance traveled = 132 kilometers

The time taken to travel the distance = 1¹/₂ hours = 1.5 hours

Rate of speed = Distance/Time

= 88 kilometers per hour (132/1.5)

Thus, the rate of speed for the vehicle to cover 132 kilometers is 88 kilometers per hour.

Learn more about distance, speed, and time at https://brainly.com/question/26046491

#SPJ1

Answer:

8+2x

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) Yes.

\(\forall\ a,b\ \in\ B,\ a+b\in B\ (since\ 0+0=0)\)

b) Yes

\(W=\{0,1,2,3,..,\}\ (whole\ numbers)\\\forall\ a,b\ \in\ 3W,\ a+b\in 3W\\since:\\a\ \in\ 3W \Longrightarrow\ \exists\ k_1\in W | a=3*k_1\\\\b\ \in\ 3W \Longrightarrow\ \exists\ k_2\in W | b=3*k_2\\\\a+b=3*k_1+3*k_2=3*(k_1+k_2) \in 3W\\\)

c) Yes

\(\forall n\ \in\ \mathbb{N}: \Longrightarrow\ n+1 \in\ \mathbb{N}\\\)

d) No

\(3\in V , 3+3=6\notin V\\\)

Since $ASHY$ is a square and $AY=5$, we have $AS=SY=5\sqrt{2}$. Since $ABDC$ is a square and $AB=1$, we have $AC=\sqrt{2}$, so $CY=5\sqrt{2}-\sqrt{2}=4\sqrt{2}$. Finally, since $EFHG$ is a square and $EF=1$, we have $EG=GF=1\sqrt{2}$.

[asy] size(6cm); defaultpen(black+1); pair a=(0,5); pair b=(1,5); pair c=(0,4); pair d=(1,4); pair e=(4,1); pair f=(5,1); pair g=(4,0); pair h=(5,0); pair y=(0,0); pair s=(5,5); draw(a--s--h--y--a); draw(c--d--b,gray); draw(g--e--f,gray); draw(d--y--e--s--d); dot(a); dot(b); dot(c); dot(d); dot(e); dot(f); dot(g); dot(h); dot(y); dot(s); label("$A$",a,NW); label("$B$",b,N); label("$C$",c,W); label("$D$",d,SE); label("$E$",e,NW); label("$F$",f,E); label("$G$",g,S); label("$H$",h,SE); label("$Y$",y,SW); label("$S$",s,NE); label("$1$",(a+b)/2,N); label("$\sqrt{2}$",(c+d)/2,N); label("$1\sqrt{2}$",(e+f)/2,N); label("$5$",(a+s)/2,W); label("$5$",(s+h)/2,E); label("$5\sqrt{2}$",(a+s)/2,NE); label("$5\sqrt{2}$",(s+h)/2,NW); label("$4\sqrt{2}$",(s+y)/2,NW); [/asy]

We can now compute the area of quadrilateral $DYES$ by subtracting the areas of triangles $DYE$ and $YES$ from the area of square $DESY$.

We have $[DYE]=\frac{1}{2}\cdot DY\cdot YE=\frac{1}{2}\cdot(4\sqrt{2})\cdot(5\sqrt{2}-1)=38-2\sqrt{2}$ and $[YES]=\frac{1}{2}\cdot YS\cdot ES=\frac{1}{2}\cdot(5\sqrt{2})\cdot(1\sqrt{2})=\frac{25}{2}$.

The area of square $DESY$ is $(DY+YE)^2=(4\sqrt{2}+5\sqrt{2}-1)^2=100-18\sqrt{2}$. Thus, the area of quadrilateral $DYES$ is \begin{align*}

[DESY]-[DYE]-[YES]&=\left(100-18\sqrt{2}\right)-\left(38-2\sqrt{2}\right)-\left(\frac{25}{2}\right)\

&=61-\frac{49}{2}\sqrt{2}.

\end{align*}Therefore, the area of quadrilateral $DYES$ is $\boxed{61-\frac{49}{2}\sqrt{2}}$.

Answer:

radius of the curve=r=150m

coefficient of friction=\muμ =0.6

As car is avoid skidding

\begin{gathered}\\ \sf\hookrightarrow \dfrac{mv^2}{r}=\mu mg\end{gathered}

↪

r

mv

2

=μmg

Cancel m

\begin{gathered}\\ \sf\hookrightarrow \dfrac{v^2}{r}=\mu g\end{gathered}

↪

r

v

2

=μg

\begin{gathered}\\ \sf\hookrightarrow v^2=\mu rg\end{gathered}

↪v

2

=μrg

\begin{gathered}\\ \sf\hookrightarrow v^2=0.6(10)(150)\end{gathered}

↪v

2

=0.6(10)(150)

\begin{gathered}\\ \sf\hookrightarrow v^2=60(150)\end{gathered}

↪v

2

=60(150)

\begin{gathered}\\ \sf\hookrightarrow v^2=900\end{gathered}

↪v

2

=900

\begin{gathered}\\ \sf\hookrightarrow v=30ms^{-1}\end{gathered}

↪v=30ms

−1

Answer: To find the least common denominator (LCD) of two fractions, we need to find the least common multiple (LCM) of the denominators.

In this case, the fractions are:

1/6 and 5/9

The denominators are 6 and 9.

The least common multiple (LCM) of 6 and 9 is 18.

So, the least common denominator (LCD) of 1/6 and 5/9 is 18

We can write both fractions with 18 as denominator:

1/6 = 3/18

5/9 = 10/18

So, the least common denominator of 1/6 and 5/9 is 18.

Step-by-step explanation:

Answer:

RS = 8

Step-by-step explanation:

Given:

Secant QU = internal secant segment PU + external secant segment PQ = 7 + 9 = 16

Secant QS = internal secant segment RS + external secant segment RQ = (3x - 5) + 8

To find the measure of RS, we need to find the value of x.

Thus, recall the "Two Secant Theorem"

According to the theorem,

(RS + RQ)*RQ = (PU + PQ)*PQ

Thus,

\( (3x - 5 + 8)*8 = (7 + 9)*9 \)

\( (3x + 3)*8 = (16)*9 \)

\( 24x + 24 = 144 \)

Subtract 24 from both sides

\( 24x + 24 - 24 = 144 - 24 \)

\( 24x = 120 \)

Divide both sides by 24

\( \frac{24x}{24} = \frac{120}{24} \)

\( x = 5 \)

Plug in the value of x into (3x - 5) to find the measure of RS

RS = 3(5) - 5 = 15 - 7

RS = 8

bTo determine the percent of the original price you end up paying after the discounts, we can calculate the final price as a percentage of the original price.

Let's assume the original price of an item is $100.

The first discount reduces the price by 50%, so the price after the first discount is 50% of the original price, which is $100 * 0.5 = $50.

The second discount of 45% is applied to the price after the first discount. The price after the second discount is 45% of $50, which is $50 * 0.45 = $22.50.

Therefore, the final price you end up paying after both discounts is $22.50.\

To find the percent of the original price you end up paying, we divide the final price by the original price and multiply by 100:

Percent of original price = (final price / original price) * 100

In this case, the final price is $22.50 and the original price is $100:

Percent of original price = ($22.50 / $100) * 100

                       = 0.225 * 100

                       = 22.5%

Therefore, you end up paying 22.5% of the original price after the discounts.

It's important to note that the percent of the original price you end up paying will depend on the original price of the item. The calculations above were based on the assumption that the original price was $100. If the original price is different, the resulting percentage will vary accordingly.

For more such questions on discounts

https://brainly.com/question/28420607

#SPJ8

Hello!

you just want the result then:

it's the first answer.

Answer: C=2πr

r Radius

Answer:

go to math papa dot com. he will give you the answers . trust me . algebra is not fun...

Answer:

y = 3. last option is correct answer for 2nd question.

Step-by-step explanation:

f(x) just means y.

horizontal asymptote is y = 'something.'

the graph crosses y = 4, so y = 4 cannot be asymptote.

y = 3 is since the graph never quite touches it.

as for ∞, we see that as x approaches -∞, y almost reaches 3. but not quite. also, as x approaches +∞, y approaches +∞.

so the last option is the correct answer.

The slope of a line parallel to 2y= 6x+8 is 3.

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet. Therefore, two (2) lines are parallel under the following conditions:

m₁ = m₂

By making y the subject of formula, we have:

2y = 6x + 8

y = 3x + 4

Therefore, the slope is 3.

Read more on slope here: brainly.com/question/3493733

#SPJ1

Answer:

21

Step-by-step explanation:

To find the y intercept of this equation, substitute 0 in for x

When you do this, you get the equation g(0)= 3(0+2)^2-3

When you solve this equation, you get g(0)=21

Please mark as brainliest ;)

Answer:

+9

Step-by-step explanation:

Step-by-step explanation:

18x+21y

-

22x-3y

__________

= - 4x+24y

18x-(22x)=-4x

21y-(-3y)=24y // - * - = +

The polar coordinates of (1, -9) are (9.06, -1.47 radians).

To convert from rectangular coordinates to polar coordinates, we can use the following formulas:

r = √(x² + y²)

θ = tan⁻¹(y/x)

where r is the distance from the origin to the point, and θ is the angle between the positive x-axis and the line connecting the origin to the point.

In this case, x = 1 and y = -9. Plugging these values into the formulas, we get:

r = √(1² + (-9)²) = √82 ≈ 9.06

θ = tan⁻¹((-9)/1) ≈ -1.47 radians

Therefore, the polar coordinates of (1, -9) are (9.06, -1.47 radians). The distance from the origin to the point is approximately 9.06 units, and the angle between the positive x-axis and the line connecting the origin to the point is approximately -1.47 radians (or approximately -84.26 degrees).

learn more about polar coordinates here:

https://brainly.com/question/31904915

#SPJ1

Answer:

  Ms finch has the higher ratio

Step-by-step explanation:

Given ratios 2 : 6 and 3 : 5, you want to know which is greater.

There are several ways to compare ratios. You can express them over a common denominator, compare them to a common value, convert them to decimal, subtract one from the other.

  2 : 6 vs 3 : 5 = 10 : 30 vs 18 : 30

3 : 5 is greater than 2 : 6, so Ms finch has the higher ratio.

  2 : 6 vs 3 : 5

We can compare each of these to 1/2.

  2 : 6 < 3 : 6 = 1/2

  3 : 5 > 2.5 : 5 = 1/2

3 : 5 is greater than 2 : 6, so Ms finch has the higher ratio.

  2 : 6 ≈ 0.333

  3 : 5 = 0.600

3 : 5 is greater than 2 : 6, so Ms finch has the higher ratio.

  2/6 -3/5 = (10 -18)/(30) = -8/30 so the second ratio is higher

3 : 5 is greater than 2 : 6, so Ms finch has the higher ratio.

Answer:

44°

Step-by-step explanation:

180-30-14=136

180-136

44