Find the value of 7y+10 given that -2y+8=6

Answer:

Step-by-step explanation:492 is needed right,and Kevin has 333 glass.So you need 159 glasses,but you need to find out how many sets you need to get 492 glasses.If 18 glasses comes in a set you'll need to divide 159 by 18 and get 8.83333333333. Then simplefiy the number to 8.8

The number of feet is 2460.63 feet

The given parameters are:

Speed = 90 kilometers/hour

Time = 30.0 seconds

The distance is calculated as;

Distance = Speed * Time

So, we have

Distance = 90 kilometers/hour  * 30.0 seconds

Express hour as seconds

Distance = 90 kilometers/(3600 seconds)  * 30.0 seconds

This gives

Distance = 0.75 kilometers

Convert to feet

Distance = 0.75 * 3280.84 feet

Evaluate

Distance = 2460.63 feet

Hence, the number of feet is 2460.63 feet

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Answer:

$61.99

Step-by-step explanation:

To find the total, we need to add.

Let's start with the ticket and the soda.

54+2=56

0.85+0.15=1

56+1=57

Next, add the price of the hot dog.

4.99 rounds to 5, so 57+5=62

62-0.01=61.99 (here we subtracted the one cent we originally rounded up)

$61.99

Hope this helps :-)

Answer:

61.99

Step-by-step explanation:

The rewritten function after completing the square is h(x) = 4(x - 4.5)² - 81

To complete the square and rewrite the function in the desired form, we can follow these steps, Factor out the leading coefficient of the quadratic term (in this case, 4) from the first two terms:

h(x) = 4(x² - 9x) + 81

To complete the square, we need to add and subtract a constant term inside the parentheses that will make the expression a perfect square trinomial. To determine this constant term, we can take half of the coefficient of the x-term, square it, and add it to the expression. Half of -9 is -4.5, so we have,

h(x) = 4(x² - 9x + (-4.5)² - (-4.5)²) + 81

Simplify the expression inside the parentheses by combining like terms and factoring the perfect square trinomial,

h(x) = 4((x - 4.5)² - 20.25) + 81

Distribute the 4 and simplify,

h(x) = 4(x - 4.5)² - 81

Therefore, the function h(x) can be rewritten in the desired form as:

h(x) = 4(x - 4.5)² - 81

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The greatest possible length of the longest side, rounded to the nearest tenth, is 42.0 cm.

To determine the greatest possible length of the longest side of the triangle, we need to consider the relationship between the side lengths of an acute triangle.

In an acute triangle, the sum of the lengths of any two sides must be greater than the length of the third side. Let's apply this concept to the given triangle with side lengths 21 cm, x cm, and 2x cm.

Since 21 cm is one of the shorter sides, we can compare it with the sum of the other two sides:

21 + x > 2x

Simplifying the inequality:

21 > x

This tells us that the value of x must be less than 21 cm for the given triangle to be valid.

Since we want to find the greatest possible length of the longest side, we can set x as close to 21 cm as possible. However, x cannot be equal to or greater than 21 cm.

Therefore, the greatest possible value for x is slightly less than 21 cm. Let's consider x = 20.9 cm.

Substituting x = 20.9 cm into the expression for the longest side length (2x cm), we can calculate the greatest possible length:

Longest side length = 2 * 20.9 cm \(^\sim_\sim\) 41.8 cm

Rounding to the nearest tenth, the greatest possible length of the longest side is approximately 41.8 cm.

Among the given options, the closest choice is 42.0 cm. Therefore, the greatest possible length of the longest side, rounded to the nearest tenth, is 42.0 cm.

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Answer:

-7

Step-by-step explanation:

-10÷5= -2

-2+-5= -7

So Answer is (-7)

Slove the Parenthesis ( ) and then when you get the Answer slove it with what is on the outside and then you will have your Answer.

Hope this helps

Explanation:

If any polynomial function f(x) = ax^4 + bx^3 + cx^2 + dx + e is divided by (x + m), then the remainder obtained is f(-m).

So if polynomial x^4 + k is divided by x + 2 then remainder is,

But the remainder is 3. So equation for k is,

Simplify the equation for k.

So value of k is -13.

Answer: -13

The probability of selecting an orange marble is 0.33.

Option B is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The number of times each marble is selected.

Green = 4

Black = 6

Orange = 5

Total number of times all marbles are selected.

= 4 + 6 + 5

= 15

Now,

The probability of selecting an orange marble.

= 5/15

= 1/3

= 0.33

Thus,

The probability of selecting an orange marble is 0.33.

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Therefore, Drug C has a stronger impact on cell survival compared to Drug A, making it the drug with the greatest effect.

To draw a representation of the survival curve and identify the drug that has the greatest effect on cell survival, we can use a graph where the x-axis represents the drug concentration in μg/ml, and the y-axis represents the percentage of cell survival.

Since Drug B has no IC90 value, it means that it does not reach a concentration that causes a 90% reduction in cell survival. Therefore, we can assume that Drug B has no significant effect on cell survival and can omit it from the survival curve.

For Drug A and Drug C, we have IC90 values of 5 and 3 μg/ml, respectively. This means that when the drug concentration reaches these values, there is a 90% reduction in cell survival.

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We can sum up the results of all three cases to get the total number of strings with exactly 4 occurrences of a or 4 occurrences of b or 4 occurrences of c. Total number of strings = C(12, 4) * 2^8 + C(12, 4) * 2^8 + C(12, 4) * 2^8.

To find the number of strings of length 12 over the alphabet {a, b, c} that have exactly 4 occurrences of a, 4 occurrences of b, or 4 occurrences of c, we can use combinatorics.

First, let's consider the case of a string length of 12.

We have three possibilities: exactly 4 occurrences of a, exactly 4 occurrences of b, or exactly 4 occurrences of c. We will calculate each case separately and then sum up the results.

Case 1: Exactly 4 occurrences of a.

We have 12 positions in the string and we need to choose 4 of them to place the a's. The remaining 8 positions can be filled with b's or c's, giving us 2 options for each position. Therefore, the number of strings with exactly 4 occurrences of a is C(12, 4) * 2^8.

Case 2: Exactly 4 occurrences of b.

Similar to Case 1, we have 12 positions and we need to choose 4 of them to place the b's. The remaining 8 positions can be filled with a's or c's, giving us 2 options for each position. So, the number of strings with exactly 4 occurrences of b is C(12, 4) * 2^8.

Case 3: Exactly 4 occurrences of c.

Again, we have 12 positions and we need to choose 4 of them to place the c's. The remaining 8 positions can be filled with a's or b's, giving us 2 options for each position. Hence, the number of strings with exactly 4 occurrences of c is C(12, 4) * 2^8.

If the length of the string is 17, the approach will remain the same. We will calculate the number of strings with exactly 4 occurrences of a, 4 occurrences of b, or 4 occurrences of c using the formula mentioned above. The only difference will be in the length of the string and the number of positions to be chosen for each case. We will have C(17, 4) instead of C(12, 4), and the remaining positions will be filled with the remaining characters from the alphabet.

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Answer:

hold up just give me a sec

Step-by-step explanation:

it's Slope=y2-y1/x2-x1

Slope=1.2-0/2-0

Slope= 0.6

Answer:

Step-by-step explanation:

Perimeter of rectangle equation:

Convert the length into cm:

Find the perimeter:

Correct choice is D

If "f" is function with derivative as f'(x) = √(x³ + 1), then length of graph of y = f(x) from x = 0 to x = 1.5 is (b) 2.497.

To find the length of the graph of y = f(x) from x = 0 to x = 1.5, we use the arc-length formula for a function y = f(x):

Length = ∫ᵇₐ√(1 + [f'(x)]²) dx,

Given the derivative : f'(x) = √(x³ + 1), we substitute it into the arc-length formula:

Length = \(\int\limits^{1.5}_{0}\) √(1 + (√(x³ + 1))²) dx,

Simplifying the expression inside the square root:

We get,

Length = \(\int\limits^{1.5}_{0}\) √(1 + x³ + 1) dx

= \(\int\limits^{1.5}_{0}\)√(x³ + 2) dx

= 2.497.

Therefore, the correct option is (b).

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The given question is incomplete, the complete question is

Let f be a function with derivative given by f'(x) = √(x³ + 1). What is the length of the graph of y = f(x) from x = 0 to x = 1.5?

(a) 4.266

(b) 2.497

(c) 2.278

(d) 1.976

Answer:

116.66666667

Step-by-step explanation:

3 inches = 50 miles

so 1 inch = 16.6666666667

x 7 = 116.66666667

:) hope this helps

A $100 bill and a dime differ by a magnitude of 3.

Orders of magnitude can be used in order to define large quantities efficiently and more easily. A dime is a currency used in the US that is equivalent to 0.10 dollars.

So we can represent a dime as 10-¹ of a dollar

and we can write 100 dollars as 10² of a dollar.

Therefore the difference in the order of magnitude of 100 dollars and a dime would be the difference between the powers or exponents of those two quantities,

That is,

2-(-1) = 3

So, the dollar differs by a magnitude of 3 from a dime.

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Answer:

20%

Step-by-step explanation:

Answer:  B) \(+\infty\)

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

Explanation:

As x goes to positive infinity, we're moving forever to the right.

If we have a point on the curve, then the point will move to the right and it will also move upward forever.

So as \(x \to \infty\) we have \(y \to \infty\)

Because y = f(x), this is the same as saying \(f(x) \to \infty\)

The notation \(+\infty\) is the same as \(\infty\)

In terms of words, we can say "the curve rises to the right" to describe the end behavior on the right.

Answer:

C

Step-by-step explanation:

I just did the Assignment on EDGE2020 and it's 200% correct!  

Also, heart and rate if you found this answer helpful!! :) (P.S It makes me feel good to know I helped someone today!!)  :)  

Answer:

m = - \(\frac{1}{11}\)

Step-by-step explanation:

Answer:

wassup

Step-by-step explanation:

Answer:

Triangle

Step-by-step explanation:

beacause its pqr

Using a unit circle display , the examples of angles satisfying the given conditions for the given trigonometric-ratios are:

a)A= \(\frac{11\pi }{6}\)(330°) so that Cos A > 0 and Sin B < 0

b)B= \(\frac{2\pi }{3}\) (120°)so that Cos B < 0 and Sin B > 0

c)C= \(\frac{5\pi }{4}\) (225°) so that Cos C < 0 and Sin C < 0

What are trigonometric ratios?

Trigonometric ratios are the ratios of different sides of a right angle triangle. The ratio of height and hypotenuse is represented by Sine. Ratio of base of triangle & its hypotenuse is given by cosine and that of tan is the ratio of height and its base. The three more ratios cosecant, secant and the cot are reciprocals of sine, cosine and tan respectively. We have standard values of these ratios for particular angles like 0°, 30°, 45°, 60° and 90°. Here the same values are represented using a unit circle where the complete circle of 360° or 2π radians is divided into four equal quadrants namely 0 to \(\frac{\pi }{2}\), \(\frac{\pi }{2} to \pi\) , \(\pi to \frac{3\pi }{2}\) and \(\frac{3\pi }{2} to 2\pi\). If we draw any right triangle inside this circle, the hypotenuse would be equal to radius that is one and 'y' will represent sine and 'x' will represent cosine. For tan we'll take sine/cosine that is y/x

In First quadrant: Sine + ; cosine +

In second quadrant: sine + ; cosine -

In third quadrant: sine - ; cosine -

In fourth quadrant: sine - ; cosine +

The values of sine and cosine always lies between -1 to 1.

a)Given conditions cos A>0 and Sin A<0

For sin A to be negative and cos A to be positive the value of A must lie in fourth quadrant

\(\frac{3\pi }{2}\) ≤ A ≤ \(2\pi\)

For example: A= \(\frac{11\pi }{6}\) (330°)

We know that sin(270 + θ) = -cos θ

Sin 330° = sin(270+60)

             = - cos 60

             = - \(\frac{1}{2}\) ( which is < 0)

We know that Cos(270 + θ) = sin θ

Cos 330° = cos(270 + 60)

               = sin 60

               =\(\frac{\sqrt{3} }{2}\) (which is > 0)

∴ For A= \(\frac{11\pi }{6}\) (330°) , cos A>0 and Sin A<0

b)Given conditions  Cos B < 0 and Sin B > 0

For sin B to be positive and cos B to be negative the value of B must lie in second quadrant

\(\frac{\pi }{2}\) ≤ B ≤ \(\pi\)

For example: B= \(\frac{2\pi }{3}\) (120°)

We know that sin(90 + θ) is equal to cos θ

Sin 120° = sin(90+30)

             =  cos 30

             =\(\frac{\sqrt{3} }{2}\) (which is > 0)  

We know that Cos(90 + θ) is equal to -sin θ

Cos 120° = cos(90 + 30)

               = -sin 30

                = - \(\frac{1}{2}\) ( which is < 0)

∴ For B= \(\frac{2\pi }{3}\) (120°) , cos B<0 and Sin B>0

c)Given conditions Cos C < 0 and Sin C < 0

For sin C and cos C to be negative the value of C must lie in third quadrant

\(\pi\) ≤ C ≤ \(\frac{3\pi }{2}\)

For example: C= \(\frac{5\pi }{4}\) (225°)

We know that sin(180 + θ) is equal -sin θ

Sin 225° = sin(180+45)

             =  -cos 45

             = - \(\frac{1}{\sqrt{2} }\) (which is < 0)  

We know that Cos(180 + θ) is equal to -cos θ

Cos 225° = cos(180 + 45)

               = -cos 45

                = - \(\frac{1}{\sqrt{2} }\) (which is < 0)

∴ For C= \(\frac{5\pi }{4}\) (225°) , cos C<0 and Sin C<0

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Refer to the table and unit circle below.

Answer:

40 minutes

Step-by-step explanation:

rate = distance/time = miles/hr

rate = 240 mi/2 hr = 120 mi/hr

time = distance / rate = (80 mi)/(120 mi/hr) = 0.67 hr = 40 minutes

(0.67 hr)(60 min/hr) = 40 minutes

Answer:

\(y = \tan(x + \frac{x^2}{2})\)

Step-by-step explanation:

Poorly formatted question; The complete question requires that we prove that \(y=\tan(x+\frac{x\²}{2})\)

When

\(\frac{dy}{dx} =1+xy\²+x+y\²\) and \(y(0)=0\)  

We have:

\(\frac{dy}{dx} =1+xy\²+x+y\²\)

Rewrite as:

\(\frac{dy}{dx} =1+x+xy\²+y\²\)

Factorize

\(\frac{dy}{dx} = (1+x)+y\²(x+1)\)

Rewrite as:

\(\frac{dy}{dx} = (1+x)+y\²(1+x)\)

Factor out 1 + x

\(\frac{dy}{dx} = (1+y\²)(1+x)\)

Multiply both sides by \(\frac{dx}{1 + y^2}\)

\(\frac{dy}{1+y\²} = (1+x)dx\)

Integrate both sides

\(\int \frac{dy}{1+y\²} = \int (1+x)dx\)

Rewrite as:

\(\int \frac{1}{1+y\²} dy = \int (1+x)dx\)

Integrate the left-hand side

\(\int \frac{1}{1+y\²} dy = \tan^{-1}y\)

Integrate the right-hand side

\(\tan^{-1}y = x + \frac{x^2}{2} + c\)

\(y(0)=0\) implies that: \((x,y) = (0,0)\)

So:

\(\tan^{-1}y = x + \frac{x^2}{2} + c\) becomes

\(\tan^{-1}(0) = 0 + \frac{0^2}{2} + c\)

This gives:

\(0 = 0 +0 + c\)

\(0 =c\)

\(c = 0\)

The equation \(\tan^{-1}y = x + \frac{x^2}{2} + c\) becomes

\(\tan^{-1}y = x + \frac{x^2}{2} + 0\)

\(\tan^{-1}y = x + \frac{x^2}{2}\)

Take tan of both sides

\(y = \tan(x + \frac{x^2}{2})\) --- Proved

Answer:

There are no like terms?

Step-by-step explanation:

=2c-27

Since there are no like terms or its incomplete.

Answer:

no like terms.

Step-by-step explanation:

Inequalities help us to compare two unequal expressions. The correct option is C.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

The situation that can be represented by the inequality 150 ≤ 15x + 55 is Thomas has 55 baseball cards in his collection. He will buy 15 new ones every month. Thomas collects baseball cards for x months. For what values of x will Thomas have at most 150 baseball cards?

Hence, the correct option is C.

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The value of the given expression is 16000, which can be written in scientific notation as 1.6 * \(10^4\). Therefore, a = 1.6 and k = 4.

Given expression is 4.0 *\(10^3\) 4 * \(10^2\). The product of these two expressions can be found as follows:

4.0 *\(10^3\) * 4 *\(10^2\) = (4 * 4) * (\(10^3\) * \(10^2\)) = 16 *\(10^5\)

To write this value in scientific notation, we need to make the coefficient (the number in front of the power of 10) a number between 1 and 10.

Since 16 is greater than 10, we need to divide it by 10 and multiply the exponent by 10. This gives us:

1.6 * \(10^6\)

Since we want to express the value in terms of a * \(10^k\), we can divide 1.6 by 10 and multiply the exponent by 10 to get:

1.6 * \(10^6\) = (1.6 / 10) * \(10^7\)

Therefore, a = 1.6 and k = 7. To check if this is correct, we can convert the value back to decimal notation:

1.6 * \(10^7\) = 16,000,000

This is the same as the product of the original expressions, which was 16,000. Therefore, the values of a and k when the value of the given expression is written in scientific notation are a = 1.6 and k = 4.

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The smallest value within the class is the lower class limit, and the largest value within the class is the upper class limit.

A class limit is a set of boundary values in the form of a range that describes the lowest and highest data values that a class can contain. The lower class limit refers to the smallest data value in a class, whereas the upper class limit refers to the largest data value in a class. The width of a class is determined by the difference between the upper and lower class limits. Here are a few examples to give you a better understanding of how this works:

Class:              5-9 5 9

Lower Limit:    10-14 10 14

Upper Limit:    15-19 15 19

This shows class limits for three different classes.

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Camillo should buy 60 containers of the 40-oz size, and the total cost of those containers would be $744.00.

To calculate the size of the container Camillo should buy, we need to find a container size that can accommodate the required 2,400 oz of peanut butter.

By comparing the given container sizes, we can see that the 40-oz container is the largest one available. As Camillo needs 2,400 oz of peanut butter, he would need to purchase multiple containers.

To find out how many of those containers Camillo will need, we can divide the total amount of peanut butter needed (2,400 oz) by the size of each container (40 oz). This gives us:

Number of containers = Total amount needed / Size of each container

Number of containers = 2,400 oz / 40 oz

Number of containers = 60 containers

So Camillo would need to buy 60 of the 40-oz containers to meet his requirement.

To calculate the total cost of those containers, we need to multiply the number of containers (60) by the price of each container. The price for each 40-oz container is $12.40. Therefore:

Total cost = Number of containers * Price per container

Total cost = 60 containers * $12.40

Total cost = $744.00

Hence, the total cost of the 60 containers would be $744.00.

In summary, Camillo should buy 60 containers of the 40-oz size, and the total cost of those containers would be $744.00.

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Complete Question

Camillo needs 2,400 oz of peanut butter.

What size container should Camillo buy?

How many of those containers will he need?

What will be the total cost of those containers?

Container Size    Price          Unit Price

12-oz                   $2.52           $0.21/oz

16-oz                   $4.00           $0.25/oz

32-oz                  $5.12             $0.16/oz

40-oz                  $12.40           $0.31/oz