system of equations of y=5x+13 y=x+45

To find the value of Az in the geometric sequence, we can use the given information. The geometric sequence is represented as follows: A3, 60, 160, 06 = 9.

From this, we can see that the third term (A3) is 60 and the common ratio (r) is 160/60.

To find Az, we need to determine the value of the nth term in the sequence. In this case, we are looking for the term with the value 9.

We can use the formula for the nth term of a geometric sequence:

An = A1 * r^(n-1)

In this formula, An represents the nth term, A1 is the first term, r is the common ratio, and n is the position of the term we are trying to find.

Since we know A3 and the common ratio, we can substitute these values into the formula:

60 =\(A1 * (160/60)^(3-1)\)

Simplifying this equation, we have:

\(60 = A1 * (8/3)^260 = A1 * (64/9)\)

To isolate A1, we divide both sides of the equation by (64/9):

A1 = 60 / (64/9)

Simplifying further, we have:

A1 = 540/64 = 67.5/8.

Therefore, the first term of the sequence (A1) is 67.5/8.

Now that we know A1 and the common ratio, we can find Az using the formula:

Az = A1 * r^(z-1)

Substituting the values, we have:

Az =\((67.5/8) * (160/60)^(z-1)\)

However, we now have the formula to calculate it once we know the position z in the sequence.

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Answer: The answer would be A. 5

Please mark me as brainliest

Answer:

a) Time in terms of AM or PM: Binary, qualitative and nominal (binary attributes are considered nominal)

b) Brightness as measured by a light meter: Ratio, quantitative and continuous.

c) Brightness as measured by people's judgments: Discrete, qualitative and ordinal (assuming they're chosen discretely)

d) Angles as measured in degrees between 0 and 360: Ratio, quantitative and continuous.

e) Bronze, Silver, and Gold medals as awarded at the Olympics: Qualitative, discrete and ordinal.

f) Height above sea level: Quantitative, continuous, ratio/interval (depending if it's seen as an arbitrary origin).

An absolute value is a distance, then, all the numbers that are absolute values are possitive, as a distance cannot be negaive:

Then,

Answer:

We failed to reject H₀

Z > -1.645

-1.84 > -1.645

We failed to reject H₀

p > α

0.03 > 0.01

We do not have significant evidence at a 1% significance level to claim that less than 40% of U.S. cell phone owners use their phones for most of their online browsing.

Step-by-step explanation:

Set up hypotheses:

Null hypotheses = H₀: p = 0.40

Alternate hypotheses = H₁: p < 0.40

Determine the level of significance and Z-score:

Given level of significance = 1% = 0.01

Since it is a lower tailed test,

Z-score = -2.33 (lower tailed)

Determine type of test:

Since the alternate hypothesis states that less than 40% of U.S. cell phone owners use their phone for most of their online browsing, therefore we will use a lower tailed test.

Select the test statistic:  

Since the sample size is quite large (n > 30) therefore, we will use Z-distribution.

Set up decision rule:

Since it is a lower tailed test, using a Z statistic at a significance level of 1%

We Reject H₀ if Z < -1.645

We Reject H₀ if p ≤ α

Compute the test statistic:

\($ Z = \frac{\hat{p} - p}{ \sqrt{\frac{p(1-p)}{n} }} $\)

\($ Z = \frac{0.31 - 0.40}{ \sqrt{\frac{0.40(1-0.40)}{100} }} $\)

\($ Z = \frac{- 0.09}{ 0.048989 } $\)

\(Z = - 1.84\)

From the z-table, the p-value corresponding to the test statistic -1.84 is

p = 0.03288

Conclusion:

We failed to reject H₀

Z > -1.645

-1.84 > -1.645

We failed to reject H₀

p >  α

0.03 > 0.01

We do not have significant evidence at a 1% significance level to claim that less than 40% of U.S. cell phone owners use their phones for most of their online browsing.

The y-intercept of f(x + 4) + 8 is given as follows:

10.

A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.

The four translation rules for functions are defined as follows:

The parent function for this problem is given as follows:

\(f(x) = \log_2{x}\)

The translated function is then given as follows:

\(g(x) = \log_2{x + 4} + 8\)

The y-intercept of the function is the numeric value at x = 0, hence:

\(g(0) = \log_2{0 + 4} + 8\)

g(0) = 2 + 8 = 10.

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y = 700(1.05)^x,

plug in x=2

700(1.05)^2

= 700(1.05 times 1.05)

= 700(1.1025)

= 771.75

Answer:

Dylan is 10 years old, and Genesis is 11.

Step-by-step explanation:

If Genesis and Dylan's age are consecutive integers, and Genesis is older, we can represent their ages as:

Dylan's age: x

Genesis' age: x+1

This would mean Genesis is a year older than Dylan.

The product of their ages is 110.

We can write an equation:

x×(x+1)=110

x²+x=110 (Distribute x)

x²+x-110=0 (Move 110 to the other side)

You can solve this by the quadratic equation, by factoring or by completing the square

I'll solve it by the quadratic equation:

We must first find the coefficients a, b and c, and then plug it into the formula.

\(x = \frac{ - 1 + - \sqrt{ {1}^{2} - 4 \times 1 \times - 110} }{2 \times 1} \\ x = \frac{ - 1 + - \sqrt{1 + 440} }{2} \\ x = \frac{ - 1 + - 21}{2} \)

Since we have a ± symbol, we get 2 real solutions, x1 and x2.

x=-1±21/2

x1=-1+21/2

x1=20/2

x1=10

x2=-1-21/2

x2=-22/2

x2=-11

Since their age can't be negative, x2 can't be a solution, so Dylan's age must be 10, and Genesis' age must be 11.

Hope this helps, and let me know if you need help with another method to solve this problem!

Slope of Parallel line is 3/4

Slope of Perpendicular line is -4/3

What is Slope of Line?

The slope of a line indicates its steepness. Slope is computed mathematically as "rise over run" (change in y divided by change in x).

Solution:

General Form of Line: y = mx + c

here, m is the slope

4y = 3x + 6

y = 3/4x + 3/2

Parallel Line have the same Slope = 3/4

Perpendicular Line:

Product of Slope = -1

Slope of Perpendicualr Line = -4/3

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Answer:

tan C = 3/2

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp/ adj

tan C = 3/2

Answer:

C

Step-by-step explanation:

The only way we can get 3/2 as a trigonometric ratio is as

tan c = O/A = 3/2

The rest don't work because sin and cos, uses the hypotenuse. The hypotenuse is 3.61 which is not either of the numbers in the ratio.

Only 2 and 3 work which are not in the hypotenuse.

Loudness, pitch, and timbre are the three psychological aspects of sound that are influenced by the physical properties of sound waves.

When energy moves through a medium (such as air, water, or any other liquid or solid matter), it creates a pattern of disturbance known as a sound wave that propagates away from the sound source.

When an object vibrates, sound waves are produced that are similar to pressure waves, like when a phone rings.

Pitch, intensity, and timbre are three key components of the field of sound psychology or psychoacoustics. People can distinguish the harmonics of a complex periodic sound wave under certain conditions thanks to the way that humans perceive sound and music.

Thus, loudness, pitch, and timbre are the three psychological aspects of sound that are influenced by the physical properties of sound waves.

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Yes, both the events representing different discounts are mutually exclusive events and Option A. P(F∩S)=0 is the correct answer.

As given in the question,

Total number of customers asked for one of two discounts = 50

Number of customers chooses first discount =28

Number of customers chooses second discount = 22

'F' Represents the persons who chooses first discount

'S' Represents the persons who chooses second discount

Choice of first discount is of 20%

Choice of second discount is of 10%

Both represents different situations and are not depend on each other.

⇒F and S are mutually exclusive events.

⇒P(F∩S) = 0

Therefore, the both the events F and S are mutually exclusive events and Option A. P(F∩S) = 0 is the correct answer.

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Remember, the trick to dividing fractions is to use keep/change/flip.

First, keep your 5/2 the same. Second, change your division sign to a multiplication sign. Third, flip your 9/4 to get 4/9. Multiply!

Mixed number form: 1 1/9

Exact form: 10/9

Decimal form: 1.1 repeating

Hope this helps!

                                                                                      -abagalecoleman

5/6 or 0.83 boxes of raisins

Answer:

0.77

Step-by-step explanation:

-0.7(-1.1) features two negative signs; (-1)^2 = +1, so -0.7(-1.1) must be positive.

Then we have 0.7(1.1).  We can rewrite this with the decimal points moved as follows:  

7(0.1)(11)(0.1)

7 times 11 is 77; 0.1*0.1 = 0.01

Therefore a simpler but equivalent expression is 77(0.01) or 0.77.

Answer:

1/4+1/3+1/8

=17/24

Step-by-step explanation:

1-17/24

=7/24

7/24×240

=70

Answer:

Step 1

Step-by-step explanation:

Carly divided 7a by a when she should have divided 7a by 7

Answer:

she divided 7a by a instead of 7

1a) Firstly, lets start by expanding the brackets. x × x is x². So x(x+1) = x² + x. Then we do the second part. 2 × x = 2x and 2 × 1 = 2. Now we have

x² + 3x + 2.

Now what we do is simplify through quadratic formula. We look at the last digit which is 2. What two numbers multiplies to give you 2? 2 and 1. 2 x 1 = 2 and 2 + 1 = 3. Our second number is 3 so this is the right amount. so now we just put the two factors together. (x + 1)(x+2). This is the answer.

b) I have explained above and so am just gonna write the answers. After expanding we get x² + 2x + 1. We get simplify to

= (x + 1)(x+1)

c) y² + 3y + 4. This cannot be simplified into the format so we leave it like this.

d) = 0.

Have a go at the last ones by yourself, if you still need help, I am available!

Answer:

(-∞, -4)

Step-by-step explanation:

11x > 4(1+3x)

11x > 4*1+4*3x  ==> distribute 4 to 1 and 3x using the distribution property

11x > 4 + 12x  ==> simplify

11x-12x > 4 + 12x-12x  ==> isolate x by subtracting 12x on both sides

-x > 4

x < -4  ==> when dividing by a negative number, switch the inequality sign

x < -4 can also be written as -∞ < x < -4

This is because x is greater than -∞ but can never equal -∞.

-∞ < x < -4 ==> (-∞, -4)

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The best description of the graph is "a quadratic function with a constant difference of 2."

A quadratic function is a function of the form f(x) = ax^2 + bx + c, where a, b, and c are constants. In a quadratic function, the graph forms a parabola.

In the given graph, if the differences between consecutive points on the graph are constant and equal to 2, it indicates a constant difference in the y-values (vertical direction) as the x-values (horizontal direction) increase. This is a characteristic of a quadratic function.

On the other hand, an exponential function with a growth factor of 2 would result in a graph that increases at an increasing rate, where the y-values grow exponentially as the x-values increase. This is not observed in the given graph.

Therefore, based on the information provided, the graph best represents a quadratic function with a constant difference of 2.

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Step-by-step explanation:

x=4 and y= 1 because of 4+1=5 and add 2y to both sides

x-2y+2y=2+ 2y

x=2y+2

4-2=2

\(\left \{ {{x+y=5} \atop {x-2y=2}} \right.\)

Here we have 2 equations in one system.

System of Equations/Simultaneous Equations are for finding the intercepts of both graphs.

We can solve these Simultaneous Equations in many ways. However, I'll be solving by substitution.

To solve by using substitution, we need to move either x or y to the another side. I'll move x term to another side for the first equation. (We'll substitute the first equation in the second.)

\(\left \{ {{y=-x+5} \atop {x-2y=2}} \right.\)

Now we substitute y = -x+5 in x-2y = 2

\(x-2(-x+5)=2\\\)

Then distribute -2 in (-x+5) | Note that multiplying the negative will get positive. |

\(x-2(-x+5)=2\\x+2x-10=2\\3x=2+10\\3x=12\)

We should get this. When we get this, we move 3 to divide 12 (Opposite when moving to another side so from plus to minus and from multiply to divide.)

\(x=4\)

But we are not done yet. We have to find the y-value. After all they are two variables equations.

If we want to find the y-value then we have to substitute x = 4 in any given equations. I'd suggest to substitute in the equation that doesn't have a coefficient with high value.

So I'll be substituting in x + y = 5 instead.

Substitute x = 4 in x + y = 5

\(4+y=5\\y=5-4\\y=1\)

Thus, we get both x and y value. Answer in either coordinate point or writing form.

Therefore, the answer is

x = 4 when y = 1 or (4,1)

Both works. Hope this helps.

\(y = 2x \\ y = 4x + 12\)

Put the value of y in the bottom equation i.e y = 2x

\(2x = 4x + 12 \\ 2x - 4x = 12 \\ - 2x = 12 \\ x = - 6\)

Now put the value of x in equation 1

\(y = 2x \\ y = 2 \times ( - 6) \\ y = - 12\)

Hence, Option D (-6,-12) is correct!!

Answer:

\(x \leq -4\)

There will be a filled-in hole at -4.

Step-by-step explanation:

We can solve an inequality the same way we do for equations. The only thing to keep in mind, is that multiplying by a negative number will result in flipping the inequality sign (< to > and vice versa)

\(-7x + 13 \geq 41 \text{ //}-13\\-7x \geq 28 \text{ //}:-7 \text{ (Notice we multiply by a negative number.)}\\x \leq -4\)

The difference between a filled-in and an empty hole in terms of inequality graphs, is whether or not the number limiting the inequality is included in it.

For example, in x > 3, 3 is limiting the inequality, however, it is not included in it, therefore, x would always be greater than 3.

In another example, \(x \leq -4\), -4 is limiting inequality and is included in it. Therefore, x would always be less than or equal to -4.

A filled-in hole means the number is included in the inequality, while an empty one means it isn't.

In our cases, -4 is included in the inequality (notice the line under the inequality sign that resembles "less than or equal to"), therefore there will be a filled-in hole at -4.

Determine type of sequence

21, 16, 11,6

Its a DECREASING sequence

its Arithmetic, because the common diference is 21-16 = 5

16-11=5

11-6=5

Common difference is 5.

Joe made a mistake in his calculations by multiplying 28 quarts by 4.

To know the mistake that Joe made and the possible correction, we shall convert 28 quart to gallon.

Recall that 4 quart = 1 gallon

Therefore, 28 quart will be:

= 28 quart × 1 gallon / 4 quart

28 quart = 7 gallon

Therefore, 28 quarts is equivalent to 7 gallons.

Hence, Joe made a mistake in his calculations by multiplying 28 quarts by 4 instead of dividing 28 quart by 4.

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-15x and 15x is the answer

Answer:

-12y and 12y

Step-by-step explanation:

lets do the multiplication to each equation

\(\left \{ {{(6x+3y)(-4)=9(-4)} \atop {(5x+4y)3=10(3)}} \right.\)
this is
\(\left \{ {{-24x-12y=-36} \atop {15x+12y=30}} \right.\)
if we add the systems notice the values that do cancel are -12y and 12y
and the results of the adition is
\(-9x=-6\)
from this
\(x=\frac{-6}{-9} =\frac{2}{3}\)
and you can find y from any of the first equation.

\(y=3-2x=3-\frac{4}{3} =\frac{5}3}\)

Answer:

x=10

Step-by-step explanation:

Step 1: Add x to both sides

Step 2: Subtract 2 from both sides.

Step 3: Multiply both sides by 2.