Draw a slope triangle, from point B, whose horizontal leg is along the x-axis. What are the lengths of the vertical and horizontal legs of your slope triangle?

Organise the information in a table.

Answer:

2 times 1/4 = 1/2 or 0.5

Step-by-step explanation:

Step 1: Setup

First of all, note that 2 is the same as 2/1 since 2 divided by 1 is 2. Therefore, start by setting up the problem like this:

2/1 x 1/4

Step 2: Multiply

Multiply the numerators together (2 x 1 = 2) and multiply the denominators together (1 x 4 = 4) and make it into one fraction like so:

2/4

Step 3: Minimize

The greatest common factor of 2 and 4 is 2. Minimize the fraction by dividing the numerator and the denominator by its greatest common factor to get the answer as follows:

1/2

Answer:

y = (1/3)x - 2

Explanation:

First, we need to identify the slope of the equation 3x + y = 2, so we need to solve for x as:

Now, the number beside the variable x is the slope, so the slope is -3

Then, two lines are perpendicular if the product of both slopes is equal to -1. It means that the slope m for our equation should be:

Now, we can find the equation of the line using the following:

Where m is the slope and (x1, y1) is a point on the line. So, replacing my 1/3 and (x1, y1) by (3, -1), we get:

Therefore, the equation of the line is: y = (1/3)x - 2

Answer:

if you can't read my pic the answer is: p+r-s=q

Step-by-step explanation:

A set of ordered pairs that contain only unique ordered pairs with unique x coordinates exists directed to as a function.

The set of ordered pairs is a function exists {(1, 5), (1, 6), (2,7), (3, 8)}.

A set of ordered pairs that contain only unique ordered pairs with unique x coordinates exists directed to as a function. A function is defined by an equation that generates a set of ordered pairs. Each x value in a relation must have a unique value for the y value for it to be a function. if there are multiple y-values associated with an x-value.

Because no two ordered pairs have the same first coordinates with the same second coordinates, the initial set of ordered pairs is a function.

A relationship and a function vary in that a relationship can have multiple outputs for a single input, whereas a function only needs one input to produce one outcome. This is the fundamental criterion used to distinguish between relation and function. These model concepts are created through the usage of relations.

Therefore, the correct answer is option C. {(1, 5), (1, 6), (2,7), (3, 8)}.

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The given statement is true.

What is variables?

In statistical modelling, experimental sciences, and mathematical modelling, there are dependent and independent variables. Dependent variables are so named because they are researched in an experiment under the assumption or requirement that they are dependent on the values of other variables according to some rule or law.

The given statement is true.

It does not matter whether we average the data across every month or every year as long as the variables are the same; the correlation will remain the same. Since the correlation coefficient r is a unitless metric, the time variable has no effect on it.

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The 1-week growth factor for the mass of the bacteria is 3.29.

The 1-day growth factor for the mass of the bacteria is 1.185.

The percentage increase in the mass of bacteria is 18.5%.

The 1-day growth percent for the mass of the bacteria if the mass of the bacteria increased by 453% per week is 27.7%.

The 1-week growth factor for the mass of the bacteria is 1 + (229%*1).

The 1-week growth factor for the mass of the bacteria is 3.29.

The 1-day growth factor for the mass of the bacteria is (3.29)^(1/7).

The 1-day growth factor for the mass of the bacteria is 1.185.

The percentage increase in the mass of bacteria is 18.5%.

The new 1-week growth factor for the mass of the bacteria is 1 + (453%*1).

The new 1-week growth factor for the mass of the bacteria is 5.53.

The 1-day growth factor for the mass of the bacteria if the mass of the bacteria increased by 453% per week is (5.53)^(1/7).

The 1-day growth factor for the mass of the bacteria if the mass of the bacteria increased by 453% per week is 1.277.

The 1-day growth percent for the mass of the bacteria if the mass of the bacteria increased by 453% per week is 27.7%.

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Answer: the answer is c)The first equation should be multiplied by 7 and the second equation by -6.

Step-by-step explanation:edge 2022

Answer:

C

Step-by-step explanation: -6

Answer:

First let the length be a variable (eg: x) so that we can form an expression and solve.

Let the length of the rectangle be x units.

Form an expression for the width of the rectangle using the information given.

Width = (x - 3) units

Area of rectangle = length x width

Using the formula, form an equation.

x(x - 3) = 18

Simplify and solve for x.

x² - 3x = 18

x² - 3x - 18 = 0

(x - 6)(x + 3) = 0

x - 6 = 0 or x + 3 = 0

x = 6 or x = - 3 (reject)

The length cannot have a negative value so reject - 3.

Hence, the length of the rectangle is 6 units.

SOLUTION

Carrie's credit card was stolen, she was charged $ 2,000

Hence carrier's is responsible for paying $2,000

the ratio of zinc to copper is 3 to 14, that menas that for each 3 grams of zinc there are 14 grams of copper, so we can made a rule of three to find

In a composite transformation as given you make first the transformation in the right and then the transformation in the left.

For the given point: (-7, 3)

1. Rotation 180°

2. Reflection over x-axis:

Given that 2 of the angles are congruent, we can conclude that the others angles are congruent too, because the sum of inner angles of a triangle is equal to 180. So the additional information we need is

And having that we could use AAA criteria. Also we could need AC = DF and use ASA criteria.

Answer:

AAS

Step-by-step explanation:

Because of vertical angle theorem, angle rts and vtu are congruent. This means there are 2 congruent angles with a non-included side

Answer:

f(x) = −(x − 2)^2 + 16

Step-by-step explanation:

See attached graph.

Answer:

A. SSS

Step-by-step explanation:

Triangle ADT and triangle TDE are congruent triangles by SSS postulate.

Sides DE and DA, sides TE and TA are congruent (DT is common side).

So the answer is A. SSS

The perpendicular linear equation that passes through (8, 2) is:

y = x - 6

A general linear equation is of the form:

y = m*x + b

Where m is the slope.

Two lines are perpendicular only if the product between the slopes is equal to -1.

Here we start with the line:

y = -x

So the slope is -1.

Then the slope of the perpendicular line m must be:

-1*m = -1

m = -1/-1 = 1

Then the perpendicular line is something like:

y = x + b

And we want this to pass through (8, 2), replacing these values we get:

2 = 8 + b

2 - 8 = b

-6  =b

The linear equation is:

y = x - 6

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Answer:

slope = 50

Step-by-step explanation:

Equation of slope of line is

y = mx + b

where m = slope and b = y-intercept which is the y-value for the point at which the line crosses the y-axis

In the graph you can see that the line crosses at (0,0)

So y-intercept is 0

Equation is y = mx

To find m

take two points on the line and calculate rise/run

rise = difference in y-values

run = difference in x-values

Points(0,0) and 1, 50) lie on the line

rise = 50 - 0 = 50

run = 1-0 = 1

slope = 50 /1 = 50

This is Geometric progression G P

The next three terms are;

64,128,256

Answer: [tex]x=-\frac{1}{2}, y=\frac{9}{2}[/tex]

Step-by-step explanation:

[tex]5x+7=7x+8\\\\2x=-1\\\\x=-\frac{1}{2}\\\\\implies y=5\left(-\frac{1}{2} \right)+7=\frac{9}{2}[/tex]

Answer:

y = 5x + 7 ---1

y = 7x + 8 ---2

Substitute either one of the equations into the other.

I will substitute 1 into 2.

5x + 7 = 7x + 8

Simplify and solve for x.

2x = -1

x = -1/2

Substitute x into either one of the equations to find y.

I will substitute x into 1.

y = 5(-1/2) + 7

= 9/2

Hence, x = -1/2, y = 9/2

On 4.98% of the policies, they will not have to pay a claim.

The possibility of the result of any random event is known as probability. This phrase refers to determining the likelihood that any given occurrence will occur. What are the chances of receiving a head, for instance, when we toss a coin in the air? The number of outcomes that could occur is the basis for the response to this question. The outcome in this case might be either head or tail. Therefore, there is a 50% chance that the result will be 1 / 2 head.

λ = 3 per year

To avoid having to pay a claim for these tubes, we need to determine the likelihood that they will live longer than a year.

Given by: The likelihood of tubes lasting longer than a year is

P(x > 1) = e^-λ*x

P(x > 1) =  e³*¹ = 0.04978

Therefore, they won't be required to pay a claim on 4.98% of the policies.

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Answer:

12.5 cups

Step-by-step explanation:

10/4 = 2.5

2.5 × 5 = 12.5

12.5 cups

Explanation:

Given the functions

f(x) = x-5

G(x) = x^2

We are to find the composite function G(f(x))

[tex] \frac{ - 1(15 + 4 - 27)}{16} \\ = \frac{ - 1(19- 27)}{16} \\ = \frac{ - 1( - 8)}{16} \\ = \frac{8}{16} \\ = 0.5[/tex]

ATTACHED IS THE SOLUTION

Answer:

= - 19 + 16^27

The interest rate at the bank = 2.324 %

Let X be the random variable representing the interest rate on a five-year certificate of deposit (cd) for banks in South Florida in 2018.

Then X follows the Normal Distribution with,

Mean, μ = 2.28 %  and,

Standard Deviation, σ = 0.37 %

We need to find the X at the 45th percentile.

45th percentile implies z-value = 0.45

The z-score at 45th percentile or 0.45 probability = -0.12 [From the z-tables]

We have, z = (x-μ)/σ

⇒ zσ = x-μ

⇒ x = zσ+μ

⇒ x = (0.12 x 0.37) + 2.28

      = 2.324

Hence the interest rate at the bank = 2.324 %

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The most appropriate choice for simple interest will be given by -

Amount obtained = $28.5

What is simple interest?

Simple interest is the interest earned on a certain principal at a certain rate over a certain period of time.

If principal is p, rate is r%, time is t years

Simple interest = [tex]\frac{p \times r \times t}{100}[/tex]

On adding principal and simple interest, we get amount.

Amount = Principal + Simple interest.

Principal = $15

Rate = 6%

Time = 15 years

Simple interest = [tex]\frac{15 \times 6 \times 15}{100}[/tex]

                         = $13.5

Amount obtained = $(15 + 13.5)

                             = $28.5

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Answer:

C. 1/2

Hope this helps!

[tex]\boxed{\boldsymbol{\sf{5\frac{1}{3}\times4\frac{5}{6} }}}[/tex]

Multiply 5 and 3 to get 15.

[tex]\boxed{\boldsymbol{\sf{\dfrac{15+1}{3}-\left(\frac{4\times6+5}{6}\right) }}}\boldsymbol{\longmapsto \ Add \ [15+1]}[/tex]

[tex]\boxed{\boldsymbol{\sf{\dfrac{16}{3}-\left(\frac{4\times6+5}{6}\right) }}}\boldsymbol{\longmapsto \ Multiply \ [4*6+5]}[/tex]

[tex]\boxed{\boldsymbol{\sf{\dfrac{16}{3}-\left(\frac{29}{6}\right) }}}[/tex]

Convert fractions prior to fractions with equal denominators.

[tex]\boxed{\boldsymbol{\sf{\frac{32}{6}-\dfrac{29}{6}=\frac{32-29}{6}=\frac{3}{6}=\dfrac{3\div3}{6\div3}=\frac{1}{2} }}}[/tex]

Answer:

Step-by-step explanation:

firstly, 8+d=x and y+d= -4 where d is the common difference of the AP.

Also,

x+d=y;

therefore d=y-x;

so,

8+y-x=x (from the first equation)

=>8+y=2x

=>y=2x-8

Now from the second equation,

y+d= -4

(2x-8)+(y-x)= -4

=>x-8+2x-8= -4

=>3x=12

=>x=4

similarly,

y=2(4)-8

=>y=0