Find a₁for each arithmetic series. Sa₃₀=240 and d=-2

Answer:

1 kilometer is equal to 1000 meters

Step-by-step explanation:

Answer:

y ≥ 5

Step-by-step explanation:

[tex]\frac{6y}{6}\ge \frac{30}{6}\\\frac{30}{6} = 5\\y \ge 5[/tex]

Hope this helps.

We use import math when we want to use the sin function in the math library, x= math. sin(3.14).

Similar to #include header_file in C/C++, that how to import function in python. The import statement brings in code from one module into another program, where modules are files that contain python code, and modules are used to group related code in a program, instead of rewriting the code again, you can reuse the same code in different files. To import code from a module a parameter is to be followed import module name ( where the import word is the keyword and the module name is the module you want to import  ).

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Answer:

I plugged in your equation into Desmos and here are 5 points

Step-by-step explanation:

(-6,7)

(-5,6)

(-4,5)

(-3,6)

(-2,7)

Answer:

[tex]x=\sqrt{13}[/tex]

Step-by-step explanation:

[tex]x^{2} - 6 - 7 = 0 \\x^{2} =13\\x=\sqrt{13}[/tex]

Answer:

8/9

Step-by-step explanation:

The other answer is wrong because the problem is asking for the fraction form of 0.8 repeating, not just 0.8.

For 5 months site b be less expensive than site a.

From the given question we get to know that on-site $50 is a must and %5 will be paid per month, and on-site b $15 will be per to promote his brand and there is no start-up fee.

Let's take the n to be x.

We have to find how many months will b site be less expensive than site a.

So total expenses for site a = 50 + 5x

and total expenses for site b = 15x

We get an equation

50+5x =15x

10x=50

x=5

Therefore for 5 months site b will be less expensive than site a.

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Answer:

In 9 hr it covers a distance of 828 km

In 1 hr it will cover a distance of 828 Divided 9 km = 92

In 6 hr it will cover a distance of   92 × 6 km = 552 km

All Done!

Answer:

552 Km

Step-by-step explanation:

find the speed in Km per hour then multiply by 6

828 Km ÷ 9 hours = 92 Km per hour

then distance covered in 6 hours is

distance = 6 × 92 = 552 Km

The amount Juan & Jaquan each had in sales in July is approximately $725 and the equation for Juan's Earning is 525 + 1.75x and the equation for Jaquan's Earning 609 + 1.015x.

Unitary method:

Unitary method is defined as the process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

Given,

Juan and Jaquan work for separate companies.

Juan earns $15 for each sale plus 5% commission.

Jaquan earns $21 for each sale plus 3.5% commission.

In July, Juan made 35 sales and Jaquan made 29 sales.

They made the same total salary.

Here we need to find the amount Juan & Jaquan each had in sales in July.

Let x be the total number of sales in July.

So, based on the given details we can written it as,

Juan earns,

=> 15 + 5%x

=> 15 + 0.05x

And Jaquan earns,

=> 21 + 3.5%x

=> 21 + 0.035x

So, in July, Juan made 35 sales and Jaquan made 29 sales,

Then

=> 35(15 + 0.05x)

=> 525 + 1.75x  -----------(Juan's Earning)

=> 29(21 + 0.035x)

=> 609 + 1.015x -----------(Jaquan's Earning)

And also in July, they made the same total salary.

So,

Juan's Earning = Jaquan's Earning

Then,

=> 525 + 1.75x = 609 + 1.015x

=> 1.75x - 1.0.15x = 609 - 525

=> 0.735x = 84

=> x = 84 / 0.735

=> x = 114.28

So, the total amount they earned in July is,

=> 525 + 1.75(114.28) = 609 + 1.015(114.28)

=> 525 + 199.99 = 609 + 115.99

=> 724.99 = 724.99

So, they earned approximately $725 in July.

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Answer:

Step-by-step explanation:

Maximum time = 0.914 hour , Minimum time = 1.28 hour

Speed is determined by dividing the distance traveled by the time taken to travel it. It gives the amount of time it took to travel a certain distance divided by the distance traveled.

Speed is inversely correlated with time and directly correlated with distance. Hence, Speed X  time equals distance, and

Time is calculated as Distance / Speed; as speed increases, time decreases and vice versa.

Distance = speed  x  time

Maximum speed =  150 +25

                              = 175 miles/ hour

Minimum speed = 150 - 25

                              = 125

Distance = 160 miles

Maximum time = 160/175

                              = 0.914 hour

Minimum time = 160/125

                           = 1.28 hour

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Answer:

42 is your answer

Step-by-step explanation:

-lukelaws hope i helped if i did please make me brainliest if i got it wrong i am so sorry

There is a lower limit but no upper limit for a random variable that follows the exponential probability distribution.

We know that, an exponential distribution is a type of continuous distributions.

This probability distribution times the occurrence of events.

In exponential probability distribution, events happen continuously and independently at a constant average rate.

The continuous random variable, say X is said to have an exponential distribution, if it has the following probability density function:

[tex]f_X(x)=\left \{ {{\lambda e^{-\lambda x~~~x > 0}} \atop {0~~~~~~~x\leq 0}} \right.[/tex]

The exponential distribution is memoryless.

We know that, for exponential the lower limit is 0, but the upper limit is infinity, meaning there is no upper limit.

Therefore, There is a lower limit but no upper limit for a random variable that follows the exponential probability distribution.

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Answer:

=> 7+u = 14; u = 7

Step-by-step explanation:

The sum of 7 and u is 14

=> u + 7 = 14

=> u = 14-7

=> u = 7

Answer:

y = x + 3

Step-by-step explanation:

The difference between 1 and 4 is 3

The difference between 2 and 5 is 3

The difference between 3 and 6 is 3

The difference between 4 and 7 is 3

So our answer will either be x= y-3 or y=x+3

Since y=x+3 is the only option that matches the table it must be the answer

Hope this helped and have a good day

Step-by-step explanation:

-2x - 7 > 1

-2x > 8

-x > 4

x < -4

that is a continuous line from -4 all the way to the left, and the dot on -4 is empty (meaning : it is not included due to the "<" symbol).

x - 2 >= -1

x >= 1

that is a continuous line from +1 all the way to the right, and the dot on +1 is filled (meaning : is IS included due to the ">=" symbol.

The range of the graph is (-9,-4) also written as -9≤y≤-4

The y-axis on a graph represents the possible output values, or range. The graph's entire range, from lower to higher numbers, represents the range. All of a function's x-values, or inputs, make up the domain. if both the end not closed point range Chart differs

Different range charts. Column range—Columns are used in the Column Range chart to illustrate the range.

Bar range—Bars are used in the Bar Range chart to illustrate the range.

smooth range-Curved lines rather than straight ones connect the data points in a smooth range chart.

From the graph it is shown as it has closed points on both ends so both the values -9 and -4 are inclusive in the range y axis

So it is written as (-9,-4) and also be written as -9≤y≤-4

Hence the range of the graph is -9≤y≤-4.

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The runner should run for roughly around 54 minutes.

To find how many minutes must the runner run:

Minutes required are:

Therefore, the runner should run for roughly around 54 minutes.

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Answer:

40g/25ml

Step-by-step explanation:

The density formula is Mass/Volume. The rock is stated to have a mass of 40g, and the 20ml of water was displaced by 25ml, so, the rock has a volume of 25ml.

The total number of students in the four classes is 100 students.

From the information, the numbers of students in the four sixth-grade classes at Northside School are 26, 19, 34, and 21.

Therefore, the total number of students will be:

= 26 + 19 + 34 + 21

= 100

Therefore there are 100 students.

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The cardianality of the set {2, 4, 6, 8, 10, 12} is 6.

According to the given question.

We have a set {2, 4, 6, 8, 10, 12}.

Here, we have to find the cardianality of the set  {2, 4, 6, 8, 10, 12}.

As we know that, the cardinality of a set is a measure of the number of elements of the set.

From the given set {2, 4, 6, 8, 10, 12} we can say that the total number of elements in the given set is 6. So, the cardianality of the set is 6.

Hence, the cardianality of the set {2, 4, 6, 8, 10, 12} is 6.

Thus, option b is correct.

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Dilation involves changing the size of a quadrilateral or any shape

The coordinates of the image of the dilation are: [tex]W^{\prime}=(1 / 4,-3), X^{\prime}=(10,0)$, $Y^{\prime}=(7,-9)$[/tex] and [tex]$Z^{\prime}=(4,-9)$[/tex]

This is further explained below

The vertices of the pre-image are given as:

W=(0,-4)

X=(13,0)

Y=(9,-12)

Z=(5,-12)

The scale factor is given as:

k=3 / 4

The center of dilation is given as:

(a, b)=(1,0)

To calculate the vertices of the image, we make use of the following formula [tex]$\left(x^{\prime} y^{\prime}\right)=(k(x-a)+a, k(y-b)+b)$[/tex]

So, we have:

W'=(3 / 4(0-1)+1,3 / 4(-4-0)+0)

W'=(1 / 4,-3)

X'=(3 / 4(13-1)+1,3 / 4(0-0)+0)

X'=(10,0)

Y'=(3 / 4(9-1)+1,3 / 4(-12-0)+0)

Y'=(7,-9)

Z'=(3 / 4(5-1)+1,3 / 4(-12-0)+0)

Z'=(4,-9)

Hence, the coordinates of the image of the dilation are:

W'=(1 / 4,-3),

X'=(10,0),

Y'=(7,-9)

Z'=(4,-9)

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Answer:

(-5/2,-4)

Step-by-step explanation:

the answer is (x, y) = (-5/2, -4)

Answer:

11 1/4 + 3 1/2

45/4 + 7/2

(45+14)/4

59/4

14 3/4

Step-by-step explanation:

Just do the calculations at last by using the value of x

The light must be at a height of 7.07m from the floor for the maximum illumination at P.

How  Distance  is that?

Let I be the illumination at P then according to given conditions,

I =  k cosθ/r²

Where k is constant of proportionality: since

r² = h² + 10²

cosθ = [tex]\frac{h}{\sqrt{h^{2} + 10^{2} } }[/tex]

then

I = k [tex]\frac{h}{( h^{2} + 100)^{3/2} }[/tex]

on differentiating

[tex]\frac{dI}{dh} = k \frac{h^{2} + 100)^{3/2} - 3h^{2 ( h^{2} + 100)^{1/2} } }{( h^{2} + 100)^{3} }[/tex]

[tex]= k \frac{( 100 - 2h^{2}) }{( h^{2} + 100)^{5/2} }[/tex]

[tex]\frac{dI}{dh} = 0[/tex]

gives

that is

h = √50 = 7.07

now

[tex]\frac{d^{2I} }{dh^{2} } = k \frac{( 6h^{3} - 900h }{( h^{2} +100)^{7/2} }[/tex]

for h = 7.07

[tex]\frac{d^{2}I }{dh^{2} } = - 10267.6[/tex]

then by second derivative test,I has a maximum ath=7.07

Hence the light must be at a height of 7.07m from the floor for the maximum illumination at P.

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Answer:

1. rational

Step-by-step explanation:

8.34 ==> rational since it had a finite number of digits.

8.34 ==> not an integer since it has a decimal point.

8.34 ==> not a whole number since it has a decimal point.

8.34 ==> not irrational since it had a finite number of digits.

Hence, 8.34 is rational.

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Answer:

-3=-18

-1=-8

0=-3

1=2

4=17

Step-by-step explanation:

if g(x)=5x-3 s substitute all x figures and calculate