The two lines graphed below are not parallel. How many solutions are there to
the system of equations?
SX
#
OA. One solution
OB. Infinitely many solutions
OC. No solutions
OD. Two solutions

Answer:

b = -144

Step-by-step explanation:

b/24 = -6

Multiple 24 on both sides since it's being divided.

b = -144

Answer:

[tex] \sf \: b = - 144[/tex]

Step-by-step explanation:

Now we have to,

→ find the required value of b.

The equation is,

→ b/24 = -6

Then the value of b will be,

→ b/24 = -6

→ b = (-6) × 24

→ [ b = -144 ]

Hence, the value of b is -144.

The exponential function in the form y = ab^x is y = 18(7)^x

From the question, we have the following parameters that can be used in our computation:

Points: (0, 18) and (3,6174).

The above can be represented as

(x, y) = (0, 18) and (3,6174).

An exponential function is represented as

y = ab^x

Where

a = y when x = 0

This means that

a = 18

So, we have

y = 18b^x

At (3,6174), we have

6174 = 18b^3

So, we have

343 = b^3

Take the cube root of both sides

b = 7

This means that

y = 18(7)^x

Hence, the function is y = 18(7)^x

Read more about exponential function at

brainly.com/question/11464095

#SPJ1

Answer: 96

Step-by-step explanation: This is how to solve:

120 * 4

= 480

3 + 2 = 5

480 / 5

= 96

First, you need to multiply the boxes bought by the total amount inside the box. (120 * 4)

The, we need to find how many raisins she uses IN TOTAL for each gingerbread man. So, we need to add 3 + 2

This equals 5

So, 120 * 4 = 480

So, in total, she buys 480 raisins. So, to find how much gingerbread she can make, we need to divide 480 by 5. This would get you 96. I hope this helps ;)

The probability of at least one boy named Jack is (c) 1 - (9/10 x 9/10 x 9/10 x 9/10 x 9/10 x 9/10)

From the question, we have the following parameters that can be used in our computation:

P(Jack) = 1/10

Number of boys = 6

Using the complement rule of probabilities, we have

P(At least one Jack) = 1 - P(No jack)

Where

P(No jack) = (1 - P(Jack))⁶

So, we have

P(No jack) = (1 - 1/10)⁶

Evaluate

P(No jack) = (9/10)⁶

Substitute the known values in the above equation, so, we have the following representation

P(At least one Jack) = 1 - (9/10)⁶

Evaluate

P(At least one Jack) = 1 - (9/10 x 9/10 x 9/10 x 9/10 x 9/10 x 9/10)

Hence, the probability is (c) 1 - (9/10 x 9/10 x 9/10 x 9/10 x 9/10 x 9/10)

Read more about probability at

brainly.com/question/251701

#SPJ1

When a roof has a pitch of 5 : 12 and the roof is 175'' horizontally the height of the roof from the lowest point to the highest point is solved to be 73''

The idea of the slope is represented in the form 5: 12 when calculating the height of the roof.

This indicates that there is a 5 increase for every 12 units.

The rise is equal to 5, and the run is 12.

The vertical is the ascent, and the run is the horizontal.

It is possible to compare using the provided ratio as follows.

Let x represent the rise so that

x / 175" = rise / run = 5 / 12

x / 175" = 5 / 12

cross multiplying

175 * 5 = 12x

12x = 875

x = 875 /12

x = 72.92 ''

The height of the roof, measured from its lowest to its highest point, is calculated to be 73 inches.

Learn more on roof pitch  at:

brainly.com/question/6781555

#SPJ1

Answer: The final value is £1,020

Step-by-step explanation: In order to find the final value, the first step in the process is to multiply 1,200 by 0.15 in order to find out what 15% of 1,200 is. After doing obtaining the answer, which is 180, subtract that from the original answer in order to find out what the final value will be.

The final value is then equal to £1,020

The set of the values of the side lengths of an isosceles triangle that has a hypotenuse that is 8 units long is: C. 4√2, 4√2, and 8.

An isosceles triangle is a type of triangle that has two sides that are of the same length, while the third side has a different length.

The hypotenuse is found in a triangle that has a right angle. This means the triangle is a right triangle, and therefore, according to the Pythagorean theorem, the square of the length of the hypotenuse is equal to the sum of the squares of the other legs of the triangle.

Considering the definition given above, it means the right triangle we are looking for must be a right triangle is isosceles, which hast two equal sides and an hypotenuse that is 8 units long.

The values of the set of lengths, 2, 4, and 8 cannot be the isosceles triangle because they have three different side lengths.

8,8, and 16 do not conform to the Pythagorean Theorem because:

16² ≠ 8² + 8²

4√2, 4√2, and 8 conform to the Pythagorean Theorem because:

8² = (4√2)² + (4√2)²

64 = 64

Therefore, the values of side lengths are: C. 4√2, 4√2, and 8.

Learn more about the isosceles triangle on:

https://brainly.com/question/1475130

#SPJ1

The value that is a solution of the rational equation that must be discarded because of the context is B. x = 9.

From the information, it would take Charlene and Gina 18 minutes to organize charlene’s comic book collection if they work together. if gina works alone, it would take her 15 minutes longer than it would take charlene working alone.

The equation can be illustrated as:

1/x + 2/(x + 15) = 1 / 18

The objective is to determine the value which nullify the context. The option will be -9. This is illustrated as:

1 / -9 = 1 / -9 + 15 = 1 / 18

The correct option is B.

Learn more about equations on:

brainly.com/question/20696759

#SPJ1

The polygon for the given data will be a square. The correct option is E.

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other. The meaning of congruency is that the two shapes are similar as well as equal in size.

A square is a quadrilateral having all the sides equal and all the angles congruent to each other. The value of all the angles is 90 degrees and the sum of the angles of the square is 360 degrees.

The given data is that all the sides are congruent and all the angles are congruent so the given figure is square.

To know more about congruency follow

https://brainly.com/question/26645071

#SPJ1

The fraction or ratio for the bracelet aren't equivalent.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

On the other hand, a fraction appears in the numerator or the denominator of a complex fraction.

Here Marcia made 10 bracletes for 5 friends. This will be:

= 10/5

= 2:1

Jen made 1 braclets for 4 friends. This will be:

= 1/4.

= 1:4

The fraction or ratio aren't equivalent.

Learn more about fractions on:

brainly.com/question/78672

#SPJ1

Answer:

B

Step-by-step explanation:

When zero is our denominator the graph is undefined at that point.  In the case of b, when x = 1 The denominator is o.  That is why there is a striped line at x = -1

1.5i^- 3j^ is the perpendicular vector to the vector 3.0i^+1.5j^

Whenever there is a 90 degree angle between two vectors, they are said to be perpendicular.  Two perpendicular vectors dot product is zero. and dot product is scaler product of 2 vectors.

Let  b = xi^+ yj^ be the perpendicular vector to a vector

and we know that 2 vectors are perpendicular if thier dot product is 0

so it implies that

b.a(dot product) =0

=> (3i^+1.5j^) . (xi^+yj^)=0

=> 3xi^.i^+ 3y i^.j^ +1.5xj^.i^+1.5yj^j^=0

=>3x+1.5y=0  ----(i)

becaus i^.j^=0 and j^.i^0

=> x= 1.5 and y=-3 satisfies equation (i).

so the perpendicular vector is 1.5i^- 3j^

To know more about dot product of vector click on below link:

https://brainly.com/question/29097076#

#SPJ4

Answer:

3.1 mm

Step-by-step explanation:

as 1mmx3.14=3.14mm

And then correct it to 1 decimal place =3.1

Answer:5103

Step-by-step explanation:We only care about 7xy6, cause it's the only term involving x In your example y = −3, thus 7(−3)6x = 7 ⋅ 729x = 5103x The coefficient of x is 5103

Answer:

Step-by-step explanation:

They are trying to be tricky  :DDD  but we got this.

they give you the outside angle at H, but  you know both of those two angle also add to 180

180= 131 +∠h

I'm noting that we're solving for the minor angle H of the triangle,  the inside angle

49° = ∠h

we also , know that  H and J are equal,  b/c it's got the red marks , telling us the angles are the same.

use that same strategy to solve,  

180 = 2*49 + p

180-98 = p

82 = p

Do you see where I get the equation from? ( 180 = 2*49 + p )  ?

The graph of g is the graph of f translated 3 units right. Option C is the answer

In geometry, a translation is a type of transformation that involves moving a geometric figure from one location to another without changing its size, shape, or orientation.

Remember, in the cartesian plane or graph, the movement in x-axis is either to the left (negative) or right (positive).

Since f(x) = 2x + 1, looking at g(x) = 2(x + 3) + 1, you will notice that 3 is added to the value x. This is a movement in the positive x-axis (right translation) and the translation is by 3 units.

Therefore, the graph of g is the graph of f translated 3 units right

Learn more about translation on:

brainly.com/question/29229524

#SPJ1

Using the normal distribution, the middle 50% would be expected to be in the range of 250 to 270 days.

Using the central limit theorem, for the samples of 36, the middle 50% would be expected to be in the range of 258 to 262 days.

A sort of continuous probability distribution for a real-valued random variable is the normal distribution or the Gaussian distribution.

Normal Distribution of Probabilities

The z-score formula, which for a measure X, in a set with mean and standard deviation, is given by: can be used to address problems with normal distributions.

Z = (X - μ)/σ

The z-score calculates the measure's standard deviation from the mean.

A p-value, or percentile of X, is assigned to each z-score.

Mean (μ) = 260.

Standard deviation (σ)= 15 .

The normal distribution is symmetric, which means that the middle 50% is between the 25th percentile and the 75th percentile.

The 25th percentile is X when Z has a p-value of 0.25, so X when Z = -0.675.

The 75th percentile is X when Z has a p-value of 0.75, so X when Z = 0.675.

Lower bound:

Z = (X - μ)/σ

⇒ -0.675 = (X - 260)/15

⇒ X - 260 = -0.675*15

⇒ X - 260 = -10.125

⇒ X = 260 - 10.125

⇒ X ≈ 250

Upper bound:

Z = (X - μ)/σ

⇒ 0.675 = (X - 260)/15

⇒ X - 260 = 0.675*15

⇒ X - 260 = 10.125

⇒ X = 260 + 10.125

⇒ X ≈ 270

The middle 50% of pregnancies would be in the range of 250 to 270 days.

For sample of 36: By the Central Limit Theorem, the standard deviation of the sampling distribution of sample means of size n is given by .

Sample of 36, thus n=36, s=15/√36

⇒ s=15/6

⇒ s=2.5

Lower bound:

Z = (X - μ)/s

⇒ -0.675 = (X - 260)/2.5

⇒ X - 260 = -0.675*2.5

⇒ X - 260 = -1.69

⇒ X = 260 - 1.69

⇒ X ≈ 258

Upper bound:

Z = (X - μ)/s

⇒ 0.675 = (X - 260)/2.5

⇒ X - 260 = 0.675*2.5

⇒ X - 260 = 1.69

⇒ X = 260 + 1.69

⇒ X ≈ 262

The middle 50% of pregnancies would be in the range of 258 to 262 days.

To learn more about normal distribution visit:

brainly.com/question/12421652

#SPJ4

Answer: I can’t help you

Step-by-step explanation:

What is 2/5 of 15?

Answer:

2/5 of 15 is 6.

Answer:

6

Step-by-step explanation:

The word of  in math refers to multiplication.

We can convert 15 to a fraction as well so we can use them together (15/1).

[tex]\frac{2}{5}[/tex] x [tex]\frac{15}{1}[/tex]

We can then work diagnolly and reduce the 5 and 15 since they are both divisible by 5- this is also known as the GCF or Greatest Common Factor

[tex]\frac{2}{1}[/tex] x [tex]\frac{3}{1}[/tex]

This is the same as 2 x 3 since both numbers divided by 1 are just themselves.

2x3 = 6

A) First we need to subtract the tax, the correct option is D.

B) by dividing the total cost without the tax by the number of people, we wiill see that each ticket costs $6, the correct option is C.

We want to find the total cost of each ticket not including the tax, then the first thing that we need to doo is take the total cost ($256) and subtract the $10 of the tax, we will ge:

$256 - $10 = $246

Then the correct option is D

"Subtract $10 from $256 to find the total cost of the tickets without the tax."

Part B:

Now we can divide that amount by the number of people so we get how much each ticket costs:

19 + 22 = 41

We will get:

$246/41 = $6

Then the correct option is C.

Learn more about taxes:

https://brainly.com/question/26316390

#SPJ1

With 450 kids and chaperone there are 451 passengers to be transported, Using simple unitary method, The answer is 6 buses.

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unitary method's formula is to identify the value of a single unit, then multiply that value by the number of units to obtain the required value.

The arithmetic operator is used to carry out mathematical operations on the provided operands, including addition, subtraction, multiplication, division, and modulus.

total members to be transported = 451

each bus hold = 80

Number of bus needed = 451/80 = 5.63

So, We need 6 buses in total.

To learn more about unitary method visit:

https://brainly.com/question/21648365

#SPJ4

The constant of proportionality for the data in the table is 65. This can be determined by dividing the number of trees planted by the number of weeks for each data point in the table. For example, for the first data point where 2 weeks have passed, 130 trees have been planted, which means the constant of proportionality is 65 (130 / 2 = 65). This value is the same for all of the data points in the table, which means it is the constant of proportionality for the data.

An arithmetic sequence is a sequence of numbers in which each term after the first is obtained by adding a fixed number, called the common difference, to the previous term. For example, the sequence 15, 12, 9, 6, … is an arithmetic sequence because each term is obtained by subtracting 3 from the previous term, which is the common difference. On the other hand, the sequence 15, 30, 60, 120, … is not an arithmetic sequence because the difference between each consecutive pair of terms is not constant. The same is true for the sequences 1, 4, 9, 16, … and 1, 8, 27, 64, …. Therefore, the only arithmetic sequence among the given options is 15, 12, 9, 6, ….

Based on the above, Mr. Smith runs approximately 985.5 miles in one year

To calculate the number of miles Mr. Smith runs in one year, we can multiply the distance he runs each day by the number of days in a year.

Number of miles Mr. Smith runs in one day: 2.7 miles

Number of days in a year: 365 (assuming a non-leap year)

S, one  can calculate the total distance he runs in one year:

Total miles in one year = Distance per day * Number of days in a year

= 2.7 miles x  365 days

= 985.5 miles

Therefore, Mr. Smith runs about 985.5 miles in one year.

Learn more about miles  from

https://brainly.com/question/29806974

#SPJ2

Answer:

B / 2; <3 is congruent to <6

Step-by-step explanation:

To find a congruent angle you must find what can fit inside the giving number the best. If we compare all of the answer is wouldn't make sense, since 7 is greater than 6 it would be wrong. So, A is Incorrect.

C is about 3 and 7. C would fit but 7 wouldn't. So, C is incorrect.

D has both 2 and 3 but also have 4 and 7 which wouldn't match. So, D is incorrect.

( THIS IS WHAT I THINK IS IT)

Answer:

B

Step-by-step explanation:

a) The volume of the gas is 0.923 x [tex]10^{-6}[/tex] m³.

b) The pressure of the gas is 0.532 x [tex]10^7[/tex] Pascals.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

3 = 4k is an equation.

We have,

Volume of a gas (V) ∝ 1/ Pressure of a gas (P)

This can be written as,

Volume of a gas = K / Pressure of a gas

K = VP

Now,

P =1.8 x [tex]10^6[/tex] Pascals

V = 2.1 x [tex]10^{-8}[/tex] m³

K = VP = 1.8 x 2.1 x [tex]10^{-2}[/tex]

k = 3.78 x [tex]10^{-2}[/tex] pascal m³

Now,

P = 4.1 x [tex]10^4[/tex] Pascals

V = K/P =  3.78 x [tex]10^{-2}[/tex] Pascal m³ / 4.1 x [tex]10^4[/tex] Pascals

V = 0.923 x [tex]10^{-6}[/tex] m³

Now,

V = 7.1 x [tex]10^{-9}[/tex] m³

P = k/V =  3.78 x [tex]10^{-2}[/tex] Pascal m³ / 7.1 x [tex]10^{-9}[/tex] m³

P = 0.532 x [tex]10^7[/tex] Pascals

Thus,

The volume is 0.923 x [tex]10^{-6}[/tex] m³.

The pressure is 0.532 x [tex]10^7[/tex] Pascals.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ1

A graph [tex]\frac{1}{A_{t}}[/tex] and time yields a straight line for a second order reaction. The positive slope of the straight line is rate constant k for second order.

For a second order reaction A→B.

The integrated rate law is

-d[n]/dt = k[A]^{r}

where, k = rate constant of second order reaction and

[A]^{r} = concentration of [A]

-[tex]\int^{A_{t}}_{A_{0}}\frac{d[A]}{[A]^{r}} = k\int^{t}_{t_{0}}dt[/tex]

where, [tex]A_{t}[/tex] = concentration of A at time t

[tex]A_{0}[/tex] = concentration of A at time t=0

[tex]\frac{1}{A_{t}}-\frac{1}{A_{0}}=kt[/tex]

Adding [tex]\frac{1}{A_{0}}[/tex]on both side, we get

[tex]\frac{1}{A_{t}}=kt+\frac{1}{A_{0}}[/tex]....................(1)

On comparing the equation 1 by the equation y = mx+c, we get that the plot of [tex]\frac{1}{A_{t}}[/tex] and plot of time t will be in the straight line with the positive slope k.

The plot is given below:

Hence, a graph [tex]\frac{1}{A_{t}}[/tex] and time yields a straight line for a second order reaction. The positive slope of the straight line is rate constant k for second order.

To learn more about integrated rate law link is here

brainly.com/question/13264346

#SPJ4

The complete question is given below:

Answer: Olivia is 12 years old.

Step-by-step explanation

Tyler = T

Olivia = O

T=8

O=T*2-4

O=8*2-4

O=16-4

O=12

Answer:

A. 1 cm and 5 cm

Step-by-step explanation:

Let me know if my work makes sense!