Jerome rolls two six-sided number cubes. What is the probability that he rolls doubles, given the sum of the numbers is 8?

The slope of a line, m, comes in the equation as the coefficient of x.

In the given equation, m= -5/4. Two perpendicular lines have slopes that are the negative reciprocals of each other.

So, the slope of the perpendicular line will be +4/5.

Between the given options, letter c will be:

4x-5y=15

-5y=15-4x (divided by -5)

y=4/5x-3

Letter C

If M(h,k) is rotated 90° counterclockwise about the origin, the new position would be M'(k, -h)

M(2, 4)-> M'(4, -2)

The value of n must be 136.5/7

n = 136.5/7

n = 19.5

Result n = 19.5

Solution

Gievn the equation below

To find the vertex and focus of the given equation, we apply the parabola standard equation which is

Where p is the focal length and the vertex is (h,k)

Rewriting the equation in standard form gives

Relating the parabola standard equation with the given equation, the vertex of the parabola is

Hence, the vertex is (3,0)

The focus of the parabola formula is

Where

Substitute the values of h, k and p into the focus formula

Hence, the focus is (3, 1)

The probability of success (a hit) is given by:

p = 0.341

The complement (a failure) of this probability is:

q = 1 - 0.341 = 0.659

Then, we can construct a probability distribution for the first hit until his nth at-bat:

For his 5th at-bat, we have n = 5, then:

Ok, we are going to use the midpoint formula

M = ( (x1 + x2) / 2 , (y1 + y2) / 2 )

(-7,-21)=((x1-13)/2 , (y1-15)/2 )

Break up this formula into two equations.

(x1-13)/2=-7 and (y1-15)/2=-21

Solve for x1 and y1 from the equations. So:

x1=(-7*2)+13

x1=(-14)+13=-1

y1=(-21*2)+15=(-42)+15=-27

So the other endpoint is (-1, -27).

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Draw the given graph.

STEP 2: Get the function plotted on the graph.

a)

We need to convert 1.96 x 10^-5 meters. into standard notation.

Now, on the scientific notation, the power of ten shows how many places the decimal point has been moved.

- If the exponent is positive then the decimal point has been moved to the left.

- If the exponent is negative, then the decimal point has been moved to the right.

In this case, the power is negative 5 . So, the decimal point has been moved 5 places to the right.

Hence:

1.96 x 10^-5 = 0.0000196

b)

a. Meters

First, we need to convert kilometers into meters using the rule of three:

If 1k = 1000 meters

Then 12,100k = x

Where x = (12,100k*1000m)/ 1k

x =12000000 meters

We need to convert from standard notation to scientific notation:

12000000.0 = 1.2x10^7 meters

The decimal point has been moved 7 places to the left, so the power of then is positive 7.

b) We need to convert 12,100 kilometers into scientific notation:

12,100 = 12,100.0

Converting into scientific notation

1.21x10^4 kilometers

The decimal point has been moved 4 places to the left. Hence, the power of the is positive 4.

The most appropriate choice for arithmetic and geometric series will be given by-

P = 0, Q = 4 , R = 8, S = 16 or P = 15, Q = 9, R = 3, S = 1 are the required numbers

What is arithmetic and geometric series?

Arithmetic series are those series whose difference between two consecutive terms are same.

Geometric series are those series whose ratio between two consecutive terms are same.

Here,

P, Q and R forms an Arithmetic sequence

Let P = a - d , Q = a, R = a + d, Where a is the first term of the Arithmetic sequence and d is the common difference of the sequence.

Let S = b

Q, R and S forms a Geometric sequence

[tex]\frac{a + d}{a} = \frac{b}{a +d}[/tex]

[tex](a + d)^2 = ab\\a^2 + d^2 + 2ad = ab\\[/tex] ............... (1)

Now the sum of first and fourth number is 16

a - d + b = 16

b = 16 - a + d

Putting the value of b in (1),

[tex]a^2 + d^2 + 2ad = a(16 - a +d)\\a^2 + d^2 + 2ad = 16a -a^2+ad\\a^2+a^2 + d^2+2ad - ad - 16a = 0\\2a^2 + ad+d^2 -16a = 0[/tex]............ (2)

Sum of second and third number is 12

[tex]a + a + d = 12\\2a +d = 12\\d = 12-2a[/tex]

Putting the value of d in (2)

[tex]2a^2 + a(12 - 2a)+(12 - 2a)^2-16a = 0\\2a^2 + 12a - 2a^2+144-48a+4a^2 - 16a = 0\\4a^2-52a+144=0\\4(a^2-13a+36)=0\\a^2 -13a+36=0\\a^2-9a-4a+36=0\\a(a - 9)-4(a-9)=0\\(a-4)(a-9) = 0\\[/tex]

[tex]a - 4 = 0[/tex] or [tex]a - 9 = 0[/tex]

[tex]a = 4[/tex] or [tex]a = 9[/tex]

When a = 4,

[tex]d = 12 - 2\times 4\\d = 12 - 8\\d = 4[/tex]

[tex]b = 16 - 4+4\\b = 16[/tex]

P = 4 - 4 = 0

Q = 4

R = 4 + 4 = 8

S = 16

When a = 9,

[tex]d = 12 - 2\times 9\\d = 12 - 16\\d = -6[/tex]

[tex]b = 16 - 9-6\\b = 1[/tex]

P = 9 - (-6) = 15

Q = 9

R = 9 + (-6) = 3

S = 1

To learn more about arithmetic and geometric series, refer to the link:

https://brainly.com/question/24643676

#SPJ9

Answer:

C. Neither

Explanation:

The SSS Congruence Rule states that if the three sides of a triangle are equal to the three sides of another triangle, then the two triangles are congruent.

The SAS Congruence Rule states that if the two sides and the included angle of one triangle are equal to the two sides and the included angle of another triangle, then the two triangles are congruent.

Notice that in the given triangles, there are two congruent sides and a non-included angle, since this does not satisfy any of the rules stated above, SSS Congruence rule or SAS Congruence rule, we'll choose "neither" as the correct answer.

Answer:

x = 100degrees

Explanation:

Using the theorem;

The angle at the vertex is the half of the difference of its intercepted arcs

Angle at the vertex = 15 degrees

angle at the intercepted arcs = 70degrees and x degrees

According to the theorem;

15 = 1/2(x-70)

Cross multiply

15 * 2 = x - 70

30 = x - 70

Add 70 to both sides

30 + 70 = x - 70 + 70

100 = x

Swap

x = 100degrees

Hence the value of x is 100degrees

Given the word problem, we can deduce the following information:

1. A set of four numbers that begins with the number 32 is arranged from

smallest to largest.

2. The median is 35.

To determine the possible set of numbers of which the median is 35, we first note that median is the number separating the other half of the ordered data sample from the lower half.

Now, we check the median of each choices:

For a) 32, 32, 36, 38:

For b) 32, 35, 38, 41:

For c) 32, 34, 36, 39

For d) 32, 36, 40, 44​:

Therefore, the answer is: c) 32, 34, 36, 39

it

Express p in terms of x : p = 5x

What is Percent?

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a measurement system.

If 5% of an adult's daily potassium requirement is provided by each serving of Crunchy Grain cereal, then x servings will offer x times 5%.

Five times as many servings, or p, of potassium are required for an adult's daily requirement.

As a result,

p = 5x can be used to describe the proportion of potassium in an adult's daily allotment.

To learn more about Percent click on the link

https://brainly.com/question/24304697

#SPJ13

The equation in the point slope form for the line perpendicular to y = (1/4)x-7 that passes through the point (-2,-6) is y+6 = -4(x+2)

The given equation of the perpendicular line

y = (1/4)x -7

The equation is in the slope intercept form of the line

y = mx+b

Where m is the slope of the line

By comparing the given equation with the slope intercept form

The slope of  the line m = 1/4

The slope of its perpendicular line = -1/m

= -4

The point slope form is

[tex](y-y_1)=m(x-x_1)[/tex]

The point is given that (-2,-6)

Substitute these values in the equation

(y-(-6) = -4(x-(-2)

y+6 = -4(x+2)

Hence, the equation in the point slope form for the line perpendicular to y = (1/4)x-7 that passes through the point (-2,-6) is y+6 = -4(x+2)

Learn more about point slope form here

brainly.com/question/24436844

#SPJ1

Consider the figure,

So, we have, Two angles are called complementary when their measures add to 90 degrees. Two angles are called supplementary when their measures add up to 180 degrees.

So, here, [tex]<\text{AHB}+z=180[/tex]

Therefore, z can be calculated as,

Now, the angles DHC and

For this problem we have the following two numbers

Let's convert the two numbers with scientific notation

Now we just need to find a number between the two given we know that:

The final answer for this case would be any number between these two numbers and it could be:

also it could be:

Or any number between the two given

Answer:

The answer is B,D, And F

Step-by-step explanation:

7.1 × 103 = 7,100

7.1 × 105 = 710,000

Because 7,100 < 710,000 < 71,000,000 then 7.1 × 105 falls between 7.1 × 103 and 71,000,000

Answer:

25 feet

Explanation:

The equation that models the pathway of the container is:

The maximum height occurs at the axis of symmetry.

First, we find the equation of symmetry:

Next, determine the value of h at t=0.

The maximum height of the container is 25 feet.

Given:

The equaiton that model height of the driver jumps from the ledge.

Requried:

We need to find the time taken by driver to enter the water.

Explanation

Consider that the graph of f(x) is the graph of a cubic function, that is, the graph of a 3 degree polynomial. If you apply first derivative to such a polynomial, the result is another polynomial of degree 2.

Now, take into account that the graph of a polynomial of degree 2 is a parabola. The parabola can open up or down. It depends of the leadding coefficient of the polynomial. In this case, due to the graph of f(x), the leadding coefficient is positive, which means that the parabola of f'(x) opens up.

Hence, you can conclude that the graph of f'(x) is option C.

Answer:

32×10⁴

Step-by-step explanation:

open the bracket

8×4×10^(2+2)

32×10⁴

hope it helps

please mark brainliest

Answer:

-8i + 2i^2

I am new but I hope this helps you

Answer:

-8i+2i²

this looks like an equation in factorization

Given :

The cost of 3 shirts and 5 sweaters is $99 .

The cost of 6 shirts and 4 sweaters is $90.

To determine :

The sweater cost and shirt cost each.

Explanation :

Let the shirt cost be x.

Let the sweater cost be y.

Then the equation formed is

Solve the equation 1 and 2 to find x and y with the help of elimination method.

Multiply by 2 in equation 1.

Solve equation 2 and 3 by subtraction,

The value of y is 18 and now substitute the value of y in equation 2 to find x.

The value of x is 3.

Answer :

The cost of shirt is 3 dollar .

The cost of sweater is 18 dollar.

Number of sandwiches = 80p

Given:

Laura produces 80 sandwiches per day

To find:

The number of sandwiches that will be produced in p days

1 day = 80 sandwiches

p days = 80 × p

p days = 80p

This means that she will produce 80p number of sandwiches in p days

Answer:

Σmf = 23347

Σm²f = 1621631

(Σmf)² = 545082409

Explanation:

The symbol Σ means that we need to sum all the products of m and f.

So, Σmf is equal to:

Σmf =76(94) + 37(92) + 27(63) + 98(62) + 62(81)

Σmf = 7144 + 3404 + 1701 + 6076 + 5022

Σmf = 23347

Then, to find Σm²f, we need to find the square of m, so:

Σm²f = (76)²(94) + (37)²(92) + (27)²(63) + (98)²(62) + (62)²(81)

Σm²f = 5776(94) + 1360(92) + 729(63) + 9604(62) + 3844(81)

Σm²f = 542944 + 125948 + 45927 + 595448 + 311364

Σm²f = 1621631

Finally, (Σmf)² is equal to:

(Σmf)² = (23347)²

(Σmf)² = 545082409

Therefore, the answers are:

Σmf = 23347

Σm²f = 1621631

(Σmf)² = 545082409

Collinear points are two or more points that lie on the same line.

For Example:

Point A, B and C

650 --- total

650*.68=442

442 students ate green bean casserole

.68 represents the percentage

so for example, if they asked me for 50% of 1000

we need to multiply 1000*0.5

if they asked for 60% we will multiply 1000*0.6

Answer:l og2(16)=x log 2 ( 16 ) = x in exponential form using the definition of a logarithm. If x x and b b are positive real numbers and b b does not equal ...

Step-by-step explanation:

Given :

The table show a proportional relationship between the number of pounds and the total cost

so,