Can someone give me a step-by-step process for how to solve this? Try to inform as best as you can, as I want to actually learn something. Thanks :)

4(h + 12) = 80

The question must be 3x² + 5x + 2

Step-by-step explanation:

\(given \: {3x}^{2} - 5x + 2 = 0 \\ \)

Here, the coefficient of x² is 3 and it is not a perfect square.

Therefore, multiply the equation throughout by 3.

\({9x}^{2} - 15x + 6 = 0 \\ \)

Now, half of the coefficient of x is 5/2.

Therefore b = 5/2 and b² = (5/2)²

And the given picture is the further solution...

Hope it helps :)

Answer:

  x = 5

Step-by-step explanation:

You want the equation of a line with undefined slope and an x-intercept of 5.

Slope is the ratio of "rise" to "run" for a line. If the line is vertical, the "run" is zero, making the denominator of the ratio is zero. Division by zero gives an "undefined" result.

If the slope of a line is "undefined", it is a vertical line. It has the same x-value everywhere. Its equation is ...

  x = c . . . . . for some constant

Here, the vertical line crosses the x-axis at x=5. That is the equation of the line:

  x = 5

Answer:

£40

Step-by-step explanation:

£30 represents 3 parts of the ratio that Fiona got.

Divide £30 by 3 to find the value of one part of the ratio

£30 ÷ 3 = £10 ← value of 1 part of the ratio

They won £30 + £10 = £40

According to the question the correct solution is to find the number of ways to reach the Nth step, you can calculate the Nth Fibonacci number.

To find the number of ways to reach the Nth step, we can use the concept of Fibonacci numbers.

Let's consider the base cases:

- If N = 1, there is only one way to reach the 1st step (by taking one step).

- If N = 2, there are two ways to reach the 2nd step (by taking two single steps or one double step).

For N > 2, the number of ways to reach the Nth step can be calculated by summing the number of ways to reach the (N-1)th step and the (N-2)th step.

Let's denote the number of ways to reach the Nth step as F(N). Then we have:

F(N) = F(N-1) + F(N-2)

Using this recursive relation, we can calculate the number of ways to reach the Nth step for any positive integer N.

Here's a table to illustrate the calculation of Fibonacci numbers for the number of ways to reach each step:

Step (N)   |  Number of Ways (F(N))

-----------------------------------

1          |  1

2          |  2

3          |  3

4          |  5

5          |  8

6          |  13

...        |  ...

As we can see, the number of ways to reach the Nth step follows the Fibonacci sequence. Therefore, to find the number of ways to reach the Nth step, you can calculate the Nth Fibonacci number.

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Answer:

i can't answer this but i can tell you this

The general form of an absolute value function is f(x)=a|x-h|+k. From this form, we can draw graphs.

y = a(x – h)2 + k, where (h, k) is the vertex. ... In the vertex form of the quadratic, the fact that (h, k) is the vertex makes sense if you think about it for a minute, and it's because the quantity "x – h" is squared, so its value is always zero or greater; being squared, it can never be negative.

Step-by-step explanation:

it is not the answer but i hope it helps:)

The limit of the expression as n approaches infinity is 1.

To find the limit of the expression (n + 1)/(2n - 4) as n approaches infinity, we can use the properties of limits.

First, let's simplify the expression:

(n + 1)/(2n - 4) = n/(2n) + 1/(2n - 4) = 1/2 + 1/(2n - 4)

Now, let's analyze the two terms separately:

The limit of 1/2 as n approaches infinity is 1/2. This is because 1/2 is a constant value and does not depend on n.

The limit of 1/(2n - 4) as n approaches infinity can be found by considering the highest power of n in the denominator, which is n. We can divide both the numerator and denominator by n to simplify the expression:

1/(2n - 4) = 1/n * 1/(2 - 4/n)

As n approaches infinity, 4/n approaches 0, and the expression becomes:

1/(2 - 4/n) = 1/(2 - 0) = 1/2

Now, let's combine the limits of the two terms:

The limit of (n + 1)/(2n - 4) as n approaches infinity is:

lim (n + 1)/(2n - 4) = lim (1/2 + 1/2) = 1/2 + 1/2 = 1

Therefore, the limit of the expression as n approaches infinity is 1.

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Answer:

x = 67°

Step-by-step explanation:

The 2 base angles x are congruent , then

x = \(\frac{180-46}{2}\) = \(\frac{134}{2}\) = 67°

Answer:

X= 67 degrees.

Step-by-step explanation:

All triangles must add up to 180°. This is an isosceles triangle which means once you have one degree you can find the other two.

In order to get the answer start with 180°-46°

180-46=134

The two x's equal each other. So you can divide the remaining degrees by 2 to get the answer.

134÷2=67.

So the answer is 67°.

Answer:4x-8 + 36 = 180

x=38

Step-by-step explanation:

i need points

Step-by-step explanation:

In the given statement is :

Of the three types of general survivorship curves, which can be most likely expected to live closest to its maximum life expectancy?

In this case, In Type I Curve, organisms tend to live up to maximum life expectancy. They survive their adulthood and die when they become elderly. Humans come under this category.

Survivorship Curve:

The Survivorship Curve is used to represent the number of population that are expected to live to a certain age. There are three types of survival curves they are Type I, Type II, Type III. Each curve will show the life expectancy of a particular group of organisms.

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Answer:

y divided by k

Step-by-step explanation:

Answer:

Step-by-step explanation:

D

Answer:

A

Step-by-step explanation:

usatestprep

Answer: x = 5 p = 288

Step-by-step explanation:

6x-8 = 22

6x = 30

x = 5

75 =p/4 + 3

p/4 = 72

p = 288

Answer:

the first one will be

x=5

Answer:

3/7

Step-by-step explanation:

⇒ Let the width of the the rectangular solid be x since it was not given as a value meaning W=x

⇒It is given that the length is 7 more than the width meaning the length exceeds the width by 7 , L=x+7

⇒The height is 15 decreased by 3 times the size of the width which can be written as  H=15 -3(x)

..The formula to calculate the volume of the rectangular solid is given by  V=L×W×H

where the Length is (x+7)

where the Width is (x)

where the Height is 15-3x

Volume in terms of width is :

______________________________________________________

V=(x+7)×(x)×(15-3x)

\(V=(x^{2} +7x)(15-3x)\\V=15x^{2} -3x^{3} +105x-21x\\V=- 3x^{3}+ 15x^{2} +84x\)

⇒to find the maximum volume you derivate V and equate the derivative to 0 then solve for x

⇒ Derivating we get

\(V'(x)=-27x^{2} +30x+84x\\\)

⇒For the maximum volume let V'(x)=0 and solve for x ,Note in this step where you are solving for x you are getting the x-value where V is maximum, to get the volume itself we will plug in the value of x we found in the original equation and simplify to get V

\(0=-27x^{2} +30x+84\\-27x^{2} +30x+84=0\\-3(9x^{2} -10x-28)=0\\\\\frac{-3(9x^{2} -10x-28)}{-3} =\frac{0}{-3} \\9x^{2} -10x-28=0\\x=\frac{-b+/-\sqrt{b^{2}-4ac } }{2a} \\x=\frac{-9+/-\sqrt{(9)^{2} -4(9)(-28)} }{2(18)}\)

Note since this is a quadratic equation we will have two solutions.

if we simplify further using a calculator we get x= -1.217006237 and 2.328117348

Let us find the maximum volume by plugging the values we got for x .

\(when \\x=-1.217006237\\V=-3(-1.217006237)^{3} +15(-1.217006237)^{2} +84(-1.217006237)\\V=-74.60442212\)

⇒Note this solution cannot be applied since Volume will never be negative.!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Please keep that in mind

______________________________________________________

\(when\\x=2.328117348\\V=-3(2.328117348)^{3} +15(2.328117348)^{2} +84(2.328117348)\\V=239.00777143\)

⇒The solution is applicable The Maximum volume of the reactangular solid is ≅239.008

Answer d

Step-by-step explanation:d

Answer:

c. 51

Step-by-step explanation:

The probability that a student owns a car or a computer is 0.45 and the probability that a student does not own a car or a computer is 0.

So, we know that:

Students who own a car: 0.65 ⇒ 65

Students who own a Computer: 0.82 ⇒ 82

Students who own both: 0.55 ⇒ 55

Probability formula: Favourable events/Total events

The probability that a student owns a car or a computer:

Favourable events: 100 - 55 = 45

P(E) = Favourable events/Total events

P(E) = 45/100

P(E) = 0.45

The probability that a student does not own a car or a computer:

Favourable events: 0

P(E) = Favourable events/Total events

P(E) = 0/100

P(E) = 0

Therefore, the probability that a student owns a car or a computer is 0.45 and the probability that a student does not own a car or a computer is 0.

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Answer:

Option 4

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

A is the only one that makes sense

B and C would be really random and not make sense on a Scatter plot

D. would be more approprkate for a graph because it probably has a constant of proportionality

A. would actually show data and would work well on a Scatter plot

hope this helps <3

14. Question wise,

In ΔRST,

∠R=2x+5

∠S=x+1

∠T=7x-16

we know,

∠R+∠S+∠T=180 [sum of 3 angles of a triangle is 180°]

2x+5+x+1+7x-16=180

10x-10=180

10(x-1)=180

x-1=18

x=19

so,

∠R=(2×19)+5=43

∠S=19+1=20

∠T=(7×19)-16=117

15. Question wise,

In ΔABC,

∠A=∠C-13

∠B=4∠C-11

we know,

∠A+∠B+∠C=180 [,,]

∠C-13+4∠C-11+∠C=180

6∠C-24=180

6∠C=180+24

∠C=204÷6=34

so,

∠A=34-13=21

∠B=(4×34)-11=125

16. Question wise,

In ΔJKL

∠K=∠J+9

∠L=2∠J-21

we know,

∠J+∠K+∠L=180

∠J+∠J+9+2∠J-21=180

4∠J-12=180

4∠J=180+12

∠J=192÷4=48

so,

∠K=48+9=57

∠L=(2×48)-21=75

the ladder reaches about 18.75 feet up the side of the house.

we can use the Pythagorean theorem which states that in a right triangle, the sum of the squares of the two shorter sides (the legs) is equal to the square of the longest side (the hypotenuse). In this case, the ladder is the hypotenuse, and the distance from the house to the base of the ladder is one leg.
So, if we let x be the distance up the side of the house that the ladder reaches, then we can write:
\(x^{2}\) + \(7^{2}\) = \(20^{2}\)
Simplifying this equation, we get:
\(x^{2}\) + 49 = 400
Subtracting 49 from both sides, we get:
\(x^{2}\) = 351
Taking the square root of both sides, we get:
x ≈ 18.75 feet

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The correct statement regarding the probability of choosing a person at random who is a junior and plays video games, and whether these events are independent, is given as follows:

P(junior and video games) = 32%; The two events are not independent.

A probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The outcomes in this problem are given as follows:

Hence the probability is of:

P(junior and video games) = 48/150 = 0.32 = 32%.

The separate probabilities are given as follows:

The multiplication of these probabilities is of:

0.66 x 0.4 = 0.264.

Which is different of 0.32, hence these events are not independent.

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Answer:

Ok. So we have 12 different styles of watches to choose from, so that means that the total number of combinations of styles for 5 boys is 12*12*12*12*12, since each boy has his pick of 12 options.

The way to answer this question is by way of the complementary rule: We want the number of ways that the boys can all have different styles. So the first boy to pick has 12 options available to him, the second boy has 11 options available to him, the 3rd boy has 10 options available to him, so on and so forth.

So the probability that the boys all have different watches is (12*11*10*9*8)/12^5= .3819.

To find the probability that at least two boys have the same style would just be 1 -.3819 = 6181

The rectangular coordinate form of a complex number is represented by the formula z=a+bi. The real axis is the horizontal one, and the imaginary axis is the vertical one. In terms of r and, where r is the vector's length and is the angle it makes with the real axis, we determine the real and complex components.

Rectangular form;-

Rectangular form, on the other hand, is where a complex number is denoted by its respective horizontal and vertical components. In essence, the angled vector is taken to be the hypotenuse of a right triangle, described by the lengths of the adjacent and opposite sides.

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The two cars (a and b) will be 800 km apart after 10 hours.

The average speed of a car is the total distance traveled by a car within a specific period of covering such distance.

From the given information:

The distance between both cars will be the hours they will meet:

i.e.

\(\mathbf{(v_a \times t)+(v_b\times t)= 800 \ km}\)

\(\mathbf{(30 \times t)+(50\times t)= 800 \ km}\)

30t + 50t = 800

80t = 800

t = 800/80 hrs

t = 10 hrs

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Answer:

12/5

Step-by-step explanation:

4/5 x 3 = (4 x 3)/5 = 12/5 (2 and 2 fifths)

Answer:

Simplified:

Step-by-step explanation:

Given equation:

Multiply ONLY the numerator with the whole number to get the answer:

Simplify:

The speed of the train is 1 m/s.

A train travelled along a track for 70 s at a constant speed. What was its speed in metres per second (m/s)?The speed of the train in metres per second is the distance covered by the train in one second. Therefore, to determine the speed of the train, we must first determine the distance it covered during 70 seconds along the track.

The speed of the train can be calculated by dividing the distance covered by the train in meters by the time taken in seconds.  Therefore,Speed = Distance/TimeThe formula for distance is;Distance = Speed x TimeThe time taken by the train is 70s.The distance travelled by the train is not given, but we can calculate it using the speed of the train and time taken.

Therefore;Distance = Speed x Time Substituting the values;Distance = Speed x 70To find the speed of the train, we rearrange the formula as shown below;Speed = Distance/TimeNow we can substitute the value of distance to get the speed;Speed = (Speed x 70)/70Simplifying the expression,Speed = Speed

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Answer:

15 15 17 17 19 30

Step-by-step explanation:

to ne and to 69 04 16 97 50 27