1. The y-intercept of the graph of an equation will _____have a y-coordinate of 0.

2. If a linear equation contains only one variable, its graph will ______ pass through the origin.

3. True or false: The graph of Ax + By = 0 will always pass through the origin.

The probability that a card greater than 4 or less than 5 is 1 or 100%

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

The probability of picking a card greater than 4 i.e 5 or 6 = 2/3

The probability of picking a card less than 5 i.e

4 = 1/3

Therefore the probability of picking of a card greater than 4 or less than 5 = 2/3 + 1/3 = 3/3

= 1

the total probably is given by 1.

therefore in percentage , it will be 1/1 × 100 = 100%

learn more about probability from

https://brainly.com/question/24756209

#SPJ1

Answer:

a. 9x

b. 1x

Step-by-step explanation:

a. take away the (x) for a moment 7+2=9 now add the (x) back in to the 9 and you get 9x

b. take away the (x) for a moment 6-5=1 now add the (x) back in to the 1 and you get 1x

Answer:

TACTGACGGCAT

Step-by-step explanation:

that if u don’t need to change T for U like in a RNA. But base pairs are A-T and G-C. So you just need the opposite

Answer:

1. 27

2. 3

Step-by-step explanation:

1. 9^2 = 81         11 - 8 = 3

  81 / 3 = 27

2. (18 + 15 / 5) = (18 + 3) = 21

   (14 - 7) = 7

   21 / 7 = 3

I hope this helped and please mark me as brainliest!

Answer:

1. 27

2. 3

Step-by-step explanation:

1. 9 divided by 2 = 81         11 - 8 = 3

81 divided by 3 = 27

2. (18 + 15 / 5) = (18 + 3) = 21

(14 - 7) = 7

21 / 7 = 3

I hope this helped.

The true statements are

The value of f(–10) = 82

The graph of the function is a parabola.

The graph contains the point (20, –8).

A parabola is a type of conic section that is formed when a plane intersects a cone in such a way that the angle between the plane and the vertical axis of the cone is equal to the angle between the plane and a generator (a straight line passing through the vertex and the base of the cone).

The resulting shape is a symmetrical, U-shaped curve. The standard form of the parabola is a quadratic function.

Here we have

The quadratic function f(x) = x²/5 – 5x + 12

Now check each option as follows

1. The value of f(–10) = 82

To check this find f(-10) as follows

f(-10) =1/5 (-10)²– 5(-10) + 12 = 20 + 50 + 12 = 82

Hence, The value of f(–10) is equal to  82

2. The graph of the function is a parabola.

As we know the standard equation of a parabola is a quadratic function that is in the form of ax² + bx + c

Hence, the quadratic function represents a parabola

3. The graph of the function opens down.

In the given function f(x) = x²– 5x + 12, the coefficient of the x² term is 1. Since the coefficient of x² is positive, the parabola opens upwards.

Hence, The graph of the function opens down is false

4. The graph contains the point (20, –8).

To check this substitute the point in f(x)

=> –8 = 1/5(20)²– 5(20) + 12

=> –8 = 80 – 100 + 12

=> –8 = –8   [ Which is true ]

Hence, The graph contains the point (20, –8).

5. The graph contains the point (0, 0).

=>  0 = (0)²– 5(0) + 12

=>  0 = 12   [ which is not true ]

Hence, The graph doesn't contain the point (0, 0).

Therefore,

The true statements are

The value of f(–10) = 82

The graph of the function is a parabola.

The graph contains the point (20, –8).

Learn more about Parabola at

https://brainly.com/question/21685473

#SPJ9

Answer:

Y = [-6  6 6 -6]

Step-by-step explanation:

From the given matrices

If X - 2Y  = Z

b - 2c = a ... 1

a -2d = c ...2

4+2a = 16.... 3

a + 2b = b .... 4

From3 ;

2a = 16-4

2a = 12

a = 6

From 4;

a + 2b - b = 0

a+b = 0

a = -b

6 = -b

b  = -6

From1;

b - 2c = a

-6 - 2c = 6

-2c = 12

c = -6

also

a - 2d = c

6-2d = -6

-2d = -6-6

-2d = -12

d = 6

Hence the matrices Y = [-6  6 6 -6]

Answer: \({9}\frac{23}{90}\)

Step-by-step explanation:

There is a Weak positive association between the amount of goals scored and the number of wins a hockey team has. Most of the data points fall between 4 goals scored and 5  number of wins. Causation cannot be established because their relationship was not in a controlled setting.

When if a relationship between two variables is said to be  negative, it is one that does not just necessarily mean that the association is weak. Although though both variables tend to increase in reaction to one another, a weak positive correlation depicts that the relationship is not very strong.

Therefore, even though  the data tells us that there is a weak positive relationship that exist between the two variables, it is vital to know that that correlation does not equal causation.

Learn more about data points from

https://brainly.com/question/30588709

#SPJ1

23.45 inches fabric was used on a headband and 9.64 inches fabric was used on a wristband for each player.

No. of players = 29

No. of coaches = 4

Total fabric used for headbands = 773.85 inches

Total no. of people for headbands = 29 + 4

                                                          = 33

Fabric used for headband for 1 person = 773.85/33

                                                                 = 23.45 inches

Total fabric used for wristbands = 279.56 inches

Total no. of people for wristbands = 29

Fabric used for headband for 1 person = 279.56/29

                                                                 = 9.64 inches

Hence, fabric for headband is 23.45 inches and for wristband is 9.64 inches.

To learn more about fabric here:

https://brainly.com/question/22026300

#SPJ1

After the conversion of π/3 radians to degrees, we get 60 degrees

What is radians?

The standard unit of angular measurement used in many branches of mathematics is the radian, indicated by the symbol rad. It is the unit of angle in the International System of Units (SI). Previously, the unit was a SI supplementary unit (before that category was abolished in 1995). The SI defines the radian as a dimensionless unit, with 1 rad equal to 1. As a result, its symbol is frequently omitted, particularly in mathematical writing.

What is degree?

A degree, or degree of arc, arc degree, or arcdegree, is a unit of measurement for a plane angle, where one full revolution equals 360 degrees. It is typically represented by the symbol ° (the degree symbol).

Although it is not a SI unit—the radian is the SI unit of angular measure—it is mentioned as an approved unit in the SI brochure.

Since 1 radian = 180°/π

According to the question, we have to find π/3 radians in degrees,

∴ π/3 radians = (180°/π)×(π/3)

\(=\frac{180\pi }{3\pi }\\ =60\)

After the conversion of π/3 radians to degrees, we get 60 degrees

To know more about radians visit:

brainly.com/question/7721249

#SPJ1

Answer:

###########÷#######################

Using the concept of word problems and quadratic equation it will take 1 year until the sum of square of their ages be 45.

Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.

Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.In this problem;

let x represent the number of years from now when the sum of square of their respective age will be

45.(x + 2)² + (x + 5)² = 45

Expanding the brackets;

x² + 4x + 4 + x² + 10x + 25 = 45

2x² + 14x + 29 = 45

2x² + 14x + 29 - 45 = 0

2x² + 14x - 16 = 0

Solving the quadratic equation for x;

x = 1, x = -8

Taking the positive value, the value of x is 1

Learn more on age word problems here;

https://brainly.com/question/17043336

#SPJ1

Answer:

Option 1

Step-by-step explanation:

The angle is a right angle, and Option 1 is the only option with two angles coterminal to positive or negative 90°.

Step-by-step explanation:

F=400(1+0.05/1)^1*t

After 1 year= $ 400.20

2= 400.40

3=$ 400.60

4= $ 400.80

5=$ 401.00

6= $ 401.20

7=$ 401.40

8=  $ 401.60

9=$ 401.80

10= $ 402.00

The graph of the balance over every year is plotted. Here, we can see the increase in balance over the years.

"Compound interest is the addition of interest to the principal sum of a deposit, or in other words, interest on principal plus interest."

Here, the principal is (P) = $400

The interest rate(r) = 5% = 0.05

The time period is = n years

Therefore, after n years balance is = P(1 + r)ⁿ

After 1 year, balance is = $400(1 + 0.05)¹ = $420

After 2 years, balance is = $420(1 + 0.05)¹ = $441

After 3 years, balance is = $441(1 + 0.05)¹ = $463.05

After 4 years, balance is = $463.05(1 + 0.05)¹ = $486.20

After 5 years, balance is = $486.20(1 + 0.05)¹ = $510.51

Learn more about compound interest here: https://brainly.com/question/27698984

#SPJ2

The Probability that a randomly selected senior is both in the band and on the honor roll is 8/25.

To find the probability that a randomly selected senior is both in the band and on the honor roll, we need to divide the number of seniors who are in both categories by the total number of seniors.

Given:

Total number of seniors = 200

Number of seniors in the band = 32

Number of seniors in the band or on the honor roll = 64

Let's calculate the probability using these values:

Probability = Number of seniors in both categories / Total number of seniors

Probability = 64 / 200

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 8:

Probability = (64 ÷ 8) / (200 ÷ 8)

Probability = 8 / 25

Therefore, the probability that a randomly selected senior is both in the band and on the honor roll is 8/25.

For more questions on Probability .

https://brainly.com/question/24756209

#SPJ8

Answer:

\(6\frac{11}{15}\)

Step-by-step explanation:

\(2\frac{1}{3}\) equals to \(\frac{7}{3}\)

\(\frac{11}{5}+\frac{11}{5}=\frac{22}{5}\)

but the denominator is not the same in \(\frac{7}{3}\) and \(\frac{22}{5}\). So you would need to find the LCM for 3 and 5. The LCM for 3 and 5 is 15.

\(\frac{7}{3}*\frac{5}{5} =\frac{35}{15}\)

\(\frac{22}{5}*\frac{3}{3} =\frac{66}{15}\)

\(\frac{35}{15} +\frac{66}{15} =\frac{101}{15}\)

\(\frac{101}{15} =6\frac{11}{15}\)

Answer:

$1080

Step-by-step explanation:

s=30w+750

s=30(11)+750

s=330+750

s=1080

A parallelogram is a quadrilateral with four sides and the opposite sides of the parallelogram are equal and parallel.

In the given figure, AB||DC. AD is the transversal, such that:

∠A + ∠D = 180-degrees.

The parallelogram is a quadrilateral with equal such that the interior angles present on the same side of the transversal are supplementary. The sum of supplementary angles is equal to 180-degrees.

From the theorem of same-side interior angles, the supplementary angles present on the parallel lines must be intersected by a transversal.

From the property of transversal, the interior angles on the same side of the transversal are supplementary. Therefore, ∠A and ∠D are supplementary and their sum is equivalent to 180-degrees.

Learn more about parallelogram on:

brainly.com/question/15584566

#SPJ1

Step-by-step explanation:

In figure:

∠PRT+∠RTP+∠TPR=180

O

(angle sum property of triangle)

⇒x+(180

O

−∠RTQ)+60

O

=180

O

(linear pair)

⇒x+(180

O

−97

0

)+60

o

=180

O

⇒x=31

o

Now, ∠PRT+∠TRQ+∠QRS=180

O

(angle of straight line)

⇒x+48

o

+y=180

O

⇒31

o

+48

o

+y=180

O

⇒y=101

0

Answer:

9+6=?

-30+20=?

2+12=?

7x+-10=?

I'm not confident in the third one sryyy

Answer:

a. a - 9 = 6

   a + (-9) = 6 OR 6 + 9 = a

b. p - 20 = -30

   p + (-20) = -30 OR -30 + 20 = p

c. z - (-12) = 15

   z + 12 = 15 OR 15 + (-12) = z

d. x - (-7) = -10

   x + 7 = -10 OR -10 + (-7) = x

The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:

Simplify the numerator:

√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)

= √2m√5z√6

Simplify the denominator:

√(xy) = √(x) * √(y)

Combine the numerator and denominator:

√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)

Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

For such more questions on simplified form

https://brainly.com/question/28323654

#SPJ8

hello

to solve this question, we jusst need to mutilply f(x) and g(x)

to find the domain

solve for x

domain;

the domain is all real numbers to x greater than -16

The ways to elect the candidates from the total is 462

From the question, we have

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 11 and r = 6

Substitute the known values in the above equation

Total = ¹¹C₆

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 11!/5!6!

Evaluate

Total = 462

Hence, the number of ways is 462

Read more about combination at

brainly.com/question/11732255

#SPJ1

Answer:

1x10^-6

Step-by-step explanation:

\(1*10^{-6}\)

Answer:

c ) 1280 m^3

here,

slant height (s)= 17m

vertical height ( h)= 15m

length (a)= ?

so,

s^2 = (a/2)^2 + h^2

(17)^2 = (a/2)^2 + 15^2

64 = (a/2)^2

8^2= (a/2)^2

8×2 = a so a = 16

Now we know

volume of pyramid

= 1/3 × a^2 × h

= 1/3 × 16^2 × 15

= 1/3 × 256 × 15

= 1280 m^3

Answer:

d

Step-by-step explanation:

Answer:

17160

Step-by-step explanation:

first there are 13 options

then there are 13 - 1 that was chosen

then there are 13 - 2 that were chosen

then there are 13 - 3 that were chosen

so that's 13 options, then 12 options, then 11 options, and then 10 options

and in order to figure out all of the possibilties we mutiply the options so

13*12*11*10 = 17160

little further explaining of why this works:

we have a set of letters (3 in a set)

A B C

what are the possible combinations?

AB

AC

BC

BA

CA

CB

the answer is 6 which is also 3 * 2 * 1 = 6

HOPE THAT HELPS!1! ^_^

Using the Fundamental Counting Theorem, it is found that there are 28,561 ways in which four cards, each of a different face value, can be chosen.

Fundamental counting theorem:

States that if there are n things, each with \(n_1, n_2, …, n_n\) ways to be done, each thing independent of the other, the number of ways they can be done is:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

In this problem, four cards are chosen, each with 13 ways, hence \(n_1 = n_2 = n_3  = n_4 = 13\), and:

\(T = 13 \times 13 \times 13 \times 13 = 13^4 = 28561\)

There are 28,561 ways in which four cards, each of a different face value, can be chosen.

A similar problem is given at https://brainly.com/question/19022577