1. Solve the quadratic function by graphing. x²-3x - 18 - 0​

Answer:

B. new elements are created when uranium breaks apart

Explanation:

Fission is the breaking apart of an atom.

The other choices are fusion, where atoms fuse together.

Answer:

864 ft^2.

Step-by-step explanation:

Area of the base = 16^2 = 256.

Area of the triangular sides = 4 * 1/2 * 16 * 19

Total area = 256 + 608

= 864 ft^2.

Answer:

1728ft^2

Step-by-step explanation:

Surface area = 2(wl+hl+hw)

w = width

l = length

h = height

2((16 x 16) + (19+16) + (19 + 16))

= 1728ft^2

Answer: 5,000,000 - 4,000 - 300 or  5,004,300

Step-by-step explanation:

5,004,300 = 5,004,300.0

Left shift 6 times to largest digit = 5.004300

5.004300 (show the shift multiplier: 10^6)

5.004300*10^6

Answer:

5004300

Step-by-step explanation:

Answer:

x= -5

Step-by-step explanation:

not right its -5

The proportional relationship used to find B, the area of the base with a volume of V, is given as follows:

B = V/6.

A proportional relationship is a type of relationship between two quantities in which they maintain a constant ratio to each other.

The equation that defines the proportional relationship is given as follows:

y = kx.

In which k is the constant of proportionality, representing the increase in the output variable y when the constant variable x is increased by one.

From the table given in the image at the end of the answer, we have that the base area is a sixth of the volume, hence the equation is:

B = V/6.

The table is given by the image presented at the end of the answer.

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Answer:

A.

Step-by-step explanation:

i am gonna be so happy if i get this right i'm a middle school student yayyaya

Answer:

a

Step-by-step explanation:

The amount if $2950 is invested at an annual rate of 8.4% compounded quarterly is $3486

Compound interest is given by:

\(A=P(1 + \frac{r}{n} )^{nt}\)

where t is the period, r is the rate, P is the initial amount, A is the final amount and n is the times compounded.

Given P = 2950, r = 0.084, n = 4, t = 2, hence:

\(A=2950(1+\frac{0.084}{4} )^{4*2}\\\\A=\$3486\\\\For \ r=0.078, A=3742,t=2,n=1:\\\\3742=P(1+\frac{0.078}{1} )^{1*2}\\\\P=\$3220\)

The amount if $2950 is invested at an annual rate of 8.4% compounded quarterly is $3486

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Answer:

7. 14

15. 30

28. 56

32. 64

18 36

x 2x

1/2y. y

2x. 4x

x+3 2x+9

Step-by-step explanation:

each out is double the in

Answer;

1, 2, 4, 5, 10, 20, 25, 50, 100

Step-by-step explanation:

Answer:

a= 20.5in.

Step-by-step explanation:

Using the law of cosine to solve the problem (adjacent/hypotenuse) you set up the equation cos(35)=a/25 since a is adjacent to the angle and since 25 is the hypotenuse. You then wanna multiply both sides of the equation by 25 to  since you are dividing by 25 because opposites cancel out and you want to get the variable x alone and on one side. After doing this you get 25*cos(35)=x. You put this in a calculator and get 20.4788011072 and when you round it to the nearest tenth you get 20.5in.

Hope this helps :)

Answer:

A. 20.5 In

Step-by-step explanation:

hello there, in order to solve a trigonometry solution you must know the law of cos sin rule..

please remember this formula...

1. SOH.. Sin Ø =

\( \sin(x) = \frac{opposite}{ hypotenus} \)

2. CAH..

\( \cos(x) = \frac{adjacemt}{hypotenus} \)

3. TOA

\( \tan(x) = \frac{opposite}{adjacent} \)

Based on the question.. the value is given such as

ø=35°

hypotenus = 25 inch

find the BC which is the adjacent..

so we have the value for hypotenus and the angle.. the only relationship that suits this category is CAH .

FORMULA FOR CAH

COS Ø = ADJACENT/ HYPOTENUS

then now we substitute the value given

\( \cos(35) = \frac{bc}{25} \)

bring up the 25 to cos 35..

\(25 \cos(35) = bc\)

calculate the value of BC

\(bc = 25 \cos(35) \)

\(bc = 20.47\)

so the length of BC is equals to 20.47 or 20.5 In

Answer:

20

Step-by-step explanation:

14:x::22.401:12.80

Answer: Left 2, Down 3

Step-by-step explanation:

\(y=\sqrt{x+2}-3\)

To find the horizontal shift, set the values under the root equal to 0

x + 2 = 0

x = -2

This means the functions is shifted left 2 units

To find the vertical shift, look at the -3

This means the graph is shifted down 3 units.

Answer:

so the answer goes as stated in the picture my advice is to always work from the middle then subtract outwards

Step-by-step explanation:

"The graph of f(x) has exactly two x-intercepts" -  For a linear function whose domain is the set of all real numbers, this assertion cannot be accurate.

Any function with the formula f(x) = mx + b is referred to as linear.

Setting f(x) = 0, we get:

mx + b = 0

Solving for x, we get:

x = -b/m

Depending on the slope m and y-intercept b values, there are an unlimited number of x-intercepts.

A linear function in mathematics is one that has either one or two variables and no exponents. It is a function with a straight line as its graph. If the function has more variables, they should all be constants or known variables in order for the function to continue to function as a linear function. A linear function is a function that, when plotted, creates a straight line. Typically, it is a polynomial function with a maximum degree of 1 or 0. Nonetheless, calculus and linear algebra are also used to represent linear functions. The function notation is the only distinction. It is also important to understand an ordered pair written in function notation.

from the questions:

A function with the formula f(x) = mx + b, where m and b are constants, is referred to as a linear function. When f(x) = 0, the point where a linear function intersects the x-axis is known as the x-intercept.

Setting f(x) = 0, we get:

mx + b = 0

Solving for x, we get:

x = -b/m

As a result, the x-intercept of a linear function is a single point, (-b/m, 0), and depending on the slope m and y-intercept b values, there may only be zero, one, or infinitely many x-intercepts.

As a result, for a linear function whose domain is the set of all real numbers, it is not possible for the statement "The graph of f(x) has precisely two x-intercepts" to be true.

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Answer:

B

Step-by-step explanation:

Since LR=LA, RU=RA. 3m+21=6m, 3m=21, m=7

Answer: The third side has a length of 25 units.

Step-by-step explanation:

In a right triangle, we can use \(a^2+b^2=c^2\) to find the side length of c.

\(15^2+20^2=c^2\)

225 + 400 = 625

\(\sqrt 625\) = 25

Therefore, c = 25.

I hope this helps!

Answer: you cant solve this solution

Step-by-step explanation:

Answer:

b=133 degrees

c= 47 degrees

Step-by-step explanation:

If you need an explanation, I will put it in the comments.

Answer:

We are simply manipulating the equation: a =  bh//2 to solve for the h. So we divide both sides of this equation by 1/2b to isolate the h variable and get: h(a) = 2a/b.

Step-by-step explanation:

The solution is:  the rate of change is 3.

Here, we have,

Since the graph of f(x) is translated 1 unit down, we need to decrease the value of f(x) by 1 to find g(x):

g(x) = f(x) - 1

f(x) = 3|x| – 4

so, we get,

g(x) = 3|x| – 4 - 1

      = 3|x| – 5

Now, to calculate the rate of change over the interval 2 <= x <= 5, we can use the formula below:

rate = g(5) - g(2)/ 5-2

so, we get,

rate = 9/3 = 3

Therefore the rate of change is 3.

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A passenger can travel 6.875 miles for $20 using the given taxi fare function.

To determine how many miles a passenger can travel for $20 using the taxi fare function f(x) = 2.56x + 2.40, we need to set up an equation and solve for x.

The equation we need to solve is:

2.56x + 2.40 = 20

To solve for x, we can start by subtracting 2.40 from both sides of the equation:

2.56x = 17.60

Next, we can divide both sides by 2.56:

x = 6.875

This calculation assumes that the fare is based solely on distance and that there are no additional fees or charges.

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\(\bf \underline{ \underline{Given : }}\)

\(\bf \underline{ \underline{To \: be \: calculated : }}\)

Calculate the curved surface area of the cone .

\(\bf \underline{ \underline{Formula \: applied : }}\)

Curved surface area of cone = πrl

\(\bf \underline{ \underline{Solution : }}\)

First of all,

Radius = Diameter/2

=> Radius,r = 14/2

=> Radius,r = 7 cm

Now,

\( \sf{Curved \: surface \: area \: of \: cone =\pi rl}\)

\( \sf \: \implies \: \dfrac{22}{ \cancel7} \times \cancel7 \times 8.45\)

\( \sf\implies22 \times 8.45\)

\( \sf \implies 185.9 \: {cm}^{2} \)

Hence,the Curved surface area of cone is 185.9 cm².

The equation of a line in slope intercept form is:

where m is the slope and b is the y intercept.

In this case we notice that the y-intercept is 2, this means that b=2.

To find the slope we need to use the formula:

using the points (0,2) and (8,0). We have that the slope is:

Now we plug the values for the slope and the intercept in the equation, therefore the equation we are looking for is:

The probability that a randomly selected student has a typing speed of less than 51 words per minute if the mean (u) is 47 words per minute and the standard deviation (o) is 4 words per minute is; 68%

The empirical rule in statistics states that for normal distributions, 68% of observed data points will lie inside one standard deviation of the mean, 95% will fall within two standard deviations, and 99.7% will occur within three standard deviations.

The formula for z-score is;

z = (x' - μ)/σ

where;

x' is sample mean

μ is population mean

σ is standard deviation

We are given;

x' = 51

μ = 47

σ = 4

Thus;

z = (51 - 47)/4

z = 1

From empirical formula at 1 standard deviation above the means, the probability is 68%.

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Answer:

9.25

Step-by-step explanation:

M₄ means the area using 4 rectangles with heights equal to the function evaluated at the midpoints.

The width of each rectangle is (4−0)/4 = 1.

The area of each rectangle is:

M₁ = (1) (1.12) = 1.12

M₂ = (1) (1.80) = 1.80

M₃ = (1) (2.69) = 2.69

M₄ = (1) (3.64) = 3.64

The total area is therefore:

M = 1.12 + 1.80 + 2.69 + 3.64

M = 9.25

Answer:

the answer is (3, 6)

happy to help!

Answer:

Solution: an Experimenter whats to estimate the average water consumption per family in the city

if individual families are used as the sampling united, a frame could be using censes data or atelephone book

if dwelling are used as the sampli units, aframe could be using Address book or city directory

If city blocks are used as the sampling units, aframe could been using is city directory

Step-by-step explanation:

Answer:

35000

Step-by-step explanation:

The equation of remaining chocolate C  in terms of t is C = 30 - 3t.

A mathematical statement called an equation demonstrates the balance or equality of two expressions. It contains of variables, integers, and mathematical operations and is denoted by the equal symbol (=). Equations may be solved to determine unknown values and are used to express relationships between various quantities. To solve for x in the equation 2x + 3 = 7, for instance, remove 3 from both sides, which gives 2x = 4, then divide both sides by 2, which gives x = 2.

Given that,

Initial number of chocolates in box = 30

Also given that after 8 nights, number of remaining chocolates = 6

Implies that,

In 8 nights, 24 chocolates were treated.

In 1 night, 3 chocolates were treated.

The equation of remaining chocolate C  in terms of t can be written as

C = 30 - 3t.

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