Solve system by using substitution: 5x + 3y = -4
y - 2x = 6

The least value is 11.

\($$\begin{aligned}&\mathrm{S}=\frac{1}{1-(1 / 2)}=2 \\&\mathrm{~S}_{\mathrm{n}}=\frac{1-(1 / 2)^{\mathrm{n}}}{1-(1 / 2)}=2-\frac{1}{2^{\mathrm{n}-1}}\end{aligned}$$\)

\($$\mathrm{S}-\mathrm{S}_{\mathrm{n}}=\frac{1}{2^{\mathrm{n}-1}} < \frac{1}{1000} \text { or } 2^{\mathrm{n}-1} \geq 1000$$\)

Now \($2^{10}=32 \times 32=1024$\)

\($$\therefore n-1 \geq 10 \text { or } n \geq 11$$\)

Hence the least value is 11.

If you have a positive term in your quadratic equation, it will also have a minimum value. This minimum value can be found by graphing the function or solving one of the two equations. If you have the equation y = a\(x^2\) + bx + c, you may use the equation min = c - \(b^2\)/4a to determine the minimum value.

A quadratic equation is a second-order polynomial equation in a single variable x a\(x^2\)+bx+c=0. with a ≠ 0 . The fundamental theorem of algebra assures that it has at least one solution because it is a second-order polynomial equation.

To learn more about quadratic equation visit , https://brainly.com/question/17177510

#SPJ9

After driving x miles, the first plan costs

60 + 0.70x

dollars, while the second plan costs

0.80x

dollars.

The plans cost the same when these prices are equal:

60 + 0.70x = 0.80x

Solve for x :

60 = 0.80x - 0.70x

60 = 0.10x

x = 60/0.10

x = 600

The dimensions of the tennis court are 42 feet by 114 feet.

Let the width of the tennis court be x feet.

We can use the formula for perimeter to solve this problem. The perimeter of a rectangle is equal to 2 times the length plus 2 times the width.

2(2x + 30) + 2x = 228

4x + 60 = 228

4x = 168

x = 42

The length of the tennis court is 2x + 30 = 2(42) + 30 = 114 feet.

The dimensions of the tennis court are 42 feet by 114 feet.

Learn more about perimeter of a rectangle here:

https://brainly.com/question/29595517

#SPJ4

Answer:

The coordinates of the image will be: (15, -25)

Step-by-step explanation:

Given the point

A scale factor of 5 means that the new shape is five times the size of the original.

The coordinates of the image of (3,−5) after dilation by a scale factor of 5 centered at the origin can be obtained by multiplying the original coordinates of the object point by 5.

i.e.

(x, y) → (5x, 5y)

(3, -5) → (5×3, 5×(-5)) = (15, -25)

Therefore, the coordinates of the image will be: (15, -25)

Answer:

Step-by-step explanation:

The formula for the volume of a rectangular prism is V = lwh, where V is the volume, l is the length, w is the width, and h is the height.

We know that V = 5,890.625 cm^3, h = 14.5 cm, and l = 25 cm.

Substituting these values into the formula, we get:

5,890.625 = 25w(14.5)

5,890.625 = 362.5w

w = 16.25

Therefore, the width of the rectangular prism is 16.25 cm.

Answer:

It's A

Step-by-step explanation:
well all you have to do is divide like 5,890.625 dvided by 14.5 then divide again by 25 them bam you got 16.25

On solving the provided question, we can say that - here in the percentage obtained = 500 => so, 500/1000X100 = 50%

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

here,

total is = 1000

obtained = 500

so, 500/1000X100 = 50%

To know more about percentage visit:

https://brainly.com/question/29306119

#SPJ1

Answer:c

Step-by-step explanation:Because there giving you a signal

Answer:

The square root of 50 is approximately 7.07.

Answer:

7.07106781187...

Step-by-step explanation:

its an irrational number

Answer:no idea

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer:

50.24 square yards

Step-by-step explanation:

Area of the circle

(f o h)(-1) = ...

= f(h(-1))

= f(-1 + 2)

= -2(-1 + 2) - 1

= 2 - 4 - 1

= -2 - 1

= -3

Answer:

a- Vernon practiced soccer 5  3/4hours this week. He practiced 4  1/3hours on weekdays and the rest over the weekend.

Step-by-step explanation:

Hope this helps

Answer:

Kela will be able to travel for 7 stops before her money runs out.

Step-by-step explanation:

Since Kela wants to visit a friend who lives 8 kilometers away, and she'll ride the subway as she can before walking the rest of the way, and she needs to buy an access pass that costs $ 5.50 and there is also a fee of $ 1.25 for each stop, if Kela doesn't want to spend more than $ 15 on the trip, to determine the largest number of stops she can afford, the following calculation must be performed:

(15 - 5.5) / 1.25 = X

9.5 / 1.25 = X

7.6 = X

Therefore, Kela will be able to travel for 7 stops before her money runs out.

Answer:

In the equation y = 2 cos(5x + 3) - 6, we can ignore the coefficients 2 and -6 for the purposes of calculating the period because they do not change the period. They only change the amplitude (2) and vertical shift (-6) of the function.

The coefficient 5 in front of x inside the cosine function affects the period of the function. It is a horizontal compression/stretch of the graph of the function.

The period of the basic cosine function, y = cos(x), is 2π. When there is a coefficient (let's call it b) in front of x, such as y = cos(bx), the period becomes 2π/b.

So, in your case, b = 5, so the period T of the function y = 2 cos(5x + 3) - 6 is:

T = 2π / 5

This is the simplest form for the period of the given function.

Answer:

$15.48

Explanation:

100 ÷ 6.46 = 15.479876

The value of the first proportion is 1.6 and the value of the second proportion is 2.78.

A part, piece, or number that is measured in comparison to a total is referred to as a proportion in general. When two ratios are equal, according to the definition of proportion, they are in proportion. A formula or claim shows that two ratios or fractions are equivalent.

According to the question,

The first proportion will be :

4/5 = n/2

n = 8/5

n = 1.6

The second proportion will be :

5/b = 9/5

b = 25/9

b = 2.78

Hence, the value of n will be 1.6 and the value of b will be 2.78 respectively.

To get more information about proportion :

https://brainly.com/question/25938439

#SPJ1

Answer:

11:30am

Step-by-step explanation:

Answer:

Charlie and his friends should leave by 11:30 am at the latest.

Answer:

Ivy is 15 years old and Audrey is 12 years old.

Step-by-step explanation:

Let Ivy's age be \(i\) and Audrey's age be \(a\).

Since the sum of their ages is 27, we can write the equation \(i+a=27\).

Next, we'll write a second equation from the fact that 9 years ago Ivy was twice as old as Audrey. Nine years ago, Ivy and Audrey's ages were \(i-9\) and \(a-9\), respectively. Therefore, we have \(i-9=2(a-9)\)

Let's isolate \(i\) by adding 9 to both sides:

\(i=2(a-9)+9\)

Distribute:

\(i=2a-18+9,\\i=2a-9\)

Now substitute \(i=2a-9\) into our first equation:

\(2a-9+a=27,\\3a-9=27, \\3a=36, \\a=\boxed{12}\)

Therefore, Ivy's age must be:

\(i+12=27,\\i=27-12=\boxed{15}\)

Thus, Ivy must be 15 years old and Audrey must be 12 years old.

Answer:

48/24

Step-by-step explanation:

You didn't say which one is line BC so I'm going to give you the answer 48 for the entire line but if you are asking for the middle point to end point then it is 24.

Donald traveled approximately 100 kilometers on each of his trips to the amusement park.

Now, the distance Donald traveled on each of his trips to the amusement park.

If he drove a total of 399 kilometers over the course of four trips, we can find the average distance he traveled per trip by dividing the total distance by the number of trips.

So, We get;

= 399 divided by 4

= 399 / 4

= 99.75 kilometers per trip

≈ 100 kilometers per trip.

Therefore, Donald traveled approximately 100 kilometers on each of his trips to the amusement park.

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ1

\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ 3^{2-x}=1\implies 3^2\cdot 3^{-x}=1\implies 3^2\cdot \cfrac{1}{3^x}=1\implies \cfrac{3^2}{3^x}=1 \\\\\\ 3^2=3^x\implies 2=x\)

Answer:

I think it would be x<5

Step-by-step explanation:

hope this helps if not let me know have a blessed day

Answer:

See below.

Step-by-step explanation:

Part A: The Vertical Angles Theorem states that the opposite (vertical) angles of two intersecting lines are congruent.

Part B: b & 40, a &c

Part C: a=140, b=40, c=140

Hope this helps.

Answer:

7 hours

Step-by-step explanation:

here,

270/18=105/x

x=(105*18)/270

x=7

Chau made $270 for 18 hours of work. At the same rate,  Therefore Chau would have to work 7 hours at the same rate to make $105.

To find out how many hours Chau would have to work to make $105 at the same rate, we can set up a proportion using the given information:

Let x be the number of hours Chau needs to work to make $105.

We know that Chau made $270 for 18 hours of work, so the rate of earnings per hour is:

Rate = Total earnings / Number of hours

Rate = $270 / 18 hours

Rate = $15 per hour

Now, we can set up the proportion:

$15 per hour = $105 / x hours

To find x, we can cross-multiply:

$15 × x = $105

Now, solve for x:

x = $105 / $15

x = 7 hours

So, Chau would have to work 7 hours at the same rate to make $105.

To know more about rate

https://brainly.com/question/119866

#SPJ2

Answer:

83.5 miles per hour

Step-by-step explanation:

Answer: y = 3x - 1

Step-by-step explanation:

y = 3x + c

-1 = 3(0) + c

-1 = 0 + c

-1 - 0 = c

-1 = c

y = 3x - 1

Answer:

The answer is 16!

EDGE2021

Answer:

16%

Step-by-step explanation:

edge 2023