6. Write a linear equation with a slope of 1 and the y-intercept of -7
7. Identify the slope and y-intercept of the equation y=-3 x
8. Identify the slope and y-intercept of the equation 2 x+5 y=20
8. Identify the slope and y-intercept of the
9. Identify the slope and y-intercept of the equation 2 x+5 y=20 equation x-2 y=2
10. Write a linear equation given the graph.
11. Write a linear equation given the graph.

Answer:

0

Step-by-step explanation:

x² + 26 = 0 ( subtract 26 from both sides )

x² = - 26 ( take square root of both sides )

x = ± \(\sqrt{-26}\)

\(\sqrt{-26}\) ← has no real solutions

Answer:

0

Step-by-step explanation:

Look above goofy, have a good day!

Problem 10

Explanation: You'll use the equation cos(28) = d/65 to solve for d to get d = 65*cos(28) = 57.39159 approximately. We use the cosine ratio because it ties together the adjacent and hypotenuse.

=====================================

Problem 11

Explanation: This time we use the sine rule. We have the height as the opposite side (which is unknown, call it x) and the hypotenuse is the ladders length (11). So we have sin(72) = x/11 which solves to x = 11*sin(72) = 10.46162

=====================================

Problem 12

Explanation: Now we use the tangent rule to connect the opposite and adjacent sides.

tan(37) = 12.1/x

x*tan(37) = 12.1

x = 12.1/tan(37)

x = 16.05724 approximately

Answer:

a = 3

Step-by-step explanation:

Collect like-terms:

\( - 16 = a - 19\)

\(a = - 16 + 19\)

\(a = 3\)

Answer: 3

Step-by-step explanation: you take 19 from 3 giving you -16

Thus, the time taken to drop the caffeine from 80 mg to 60 mg is 2.46 hours.

Calculating the exponential growth as well as decay of a given collection of data is done using an exponential function, which is a mathematical function.

Exponential functions, for instance, can be used to estimate population changes, loan interest rates, bacterial growth, radioactive decay, and disease spread. An exponential function has the following form at its most fundamental level.

f(x) = \(a^{x}\)

Exponential equation for the amount of Caffeine

C = 80\((2)^{-t/6}\)

Amount of caffeine C = 60 mg.

60 = 80\((2)^{-t/6}\)

3/4 = \((2)^{-t/6}\)

Taking log on both sise:

\(log_{2}(3/4) = -t/6\)

Solve the log function using the log calculator:

-t/6 = (-0.41)

t = 0.41 * 6

t = 2.46 hours

Thus, the time taken to drop the caffeine from 80 mg to 60 mg is 2.46 hours.

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Correct question:

The biological half-life of caffeine is about 6hr. If one cup of coffee has 80 mg of caffeine, then the amount of caffeine C (in mg) remaining after t hours is given by C = 80\((2)^{-t/6}\)

How long will it take for the amount of caffeine to drop below 60 mg?

we have the equation

y= 4.983 −.010x

where

x ----> the salary

y ----> number of viewers

so

For x=$3 million

substitute

in the given equation

y=4.983-0.010(3)

y=4.953 millions

therefore

Answer:

Pie charts can generally be used instead of bar graphs

Step-by-step explanation:

A pie chart can be used instead of a bar chart. A pie chart is an alternative to the bar chart. Both of these can be regarded as data visualization tools. The pie chart shoes us generally how several parts makes up a whole. While the bar chart uses rectangular bars to show us the proportion of each of the categories of data

The statement which is true among the given group of options is; Pie charts can generally be used instead of bar charts.

Pie charts can be used as substitutes for bar charts. This stemmed from.the fact that both tools are data visualization tools.

On this note, pie charts can be used to replace the bar charts even though pie charts entails dividing the 360° angle in a circle in respective ratios.

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Daniela's graph of the function describing Monday's storm depicted the storm's temporal evolution, showcasing the changing intensity of rainfall, intermittent spikes, shifting wind direction, and overall duration. Analyzing the graph allowed Daniela to gain insights into the storm's behavior and better understand its impact on the area.

Daniela graphed the function describing Monday's storm and observed several key features. The graph displayed a rapid increase in precipitation during the early morning hours, with rain intensifying steadily until reaching its peak around midday. Afterward, the precipitation gradually subsided, leading to a decline in rainfall amounts throughout the afternoon and evening.

The graph exhibited a distinct pattern of fluctuation, reflecting the storm's dynamic nature. Intermittent spikes in rainfall were visible, indicating periodic bursts of heavy precipitation throughout the day. These spikes were followed by brief periods of relative calm, during which the rainfall decreased temporarily before resuming its intensity.

Furthermore, Daniela noticed a gradual shift in wind direction as the storm progressed. Initially, the wind blew from the east, but it gradually veered towards the south as the storm system moved across the region. The change in wind direction was evident on the graph, showing a gradual rotation of the wind vector over time.

The graph also revealed the storm's duration, spanning from the early morning hours until late evening. The rainfall accumulation steadily increased during the storm's initial phase and reached a maximum before gradually tapering off towards the end of the day.

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Answer:

I think it's 65...........

Answer:

No

Step-by-step explanation:

no because just muiltiplying 7.00 * 8 is 56 not inculuding the 99 cents it is already over 50. The answer is 63.92 so a reasonable estimate would be around $60

Answer:

The graph will shift 5 units to the left

Answer: =−13 1/3

Step-by-step explanation:

Answer:

perimeter = 12

Step-by-step explanation:

In a right-angled triangle, a² + b² = c²

where c is the hypotenuse, and a and b are opposite and adjacent, either way.

have a look at attached documents for answer and explanation

(a) Extend the definition of f(x) to make it an even function f*(x),

\(f^*(x)=\begin{cases}0&\text{if }-2\le x<-1\\1&\text{if }0\le x\le1\\0&\text{if }1<x\le2\end{cases}\)

and we take f* to be periodic over an interval of length P = 4. We compute the coefficients of the cosine series:

\(a_n = \displaystyle\frac2P \int_{-2}^2 f^*(x)\cos\left(\frac{2n\pi}Px\right)\,\mathrm dx = \frac{2\sin\left(\frac{n\pi}2\right)}{n\pi}\)

Note that a₀ = 1 (you can compute the integral again without the cosine, or just take the limit as n -> 0). For all other even integers n, the numerator vanishes, so we split off the odd case for n = 2k - 1 :

\(a_{2k-1} = \dfrac{2\sin\left(\frac{(2k-1)\pi}2\right)}{(2k-1)\pi}\)

Then the cosine series of f(x) is

\(\displaystyle \frac{a_0}2 + \sum_{k=1}^\infty a_{2k-1}\cos\left(\frac{(2k-1)\pi}2x\right)\)

(b) For the sine series, you instead extend f(x) to an odd function f*(x),

\(f^*(x)=\begin{cases}-1&\text{if }-2\le x\le-1\\x&\text{if }-1<x<1\\1&\text{if }1\le x\le2\end{cases}\)

Again, P = 4, and the coefficient of the sine series are given by

\(b_n = \displaystyle\frac2P\int_{-2}^2f^*(x)\sin\left(\frac{2n\pi}Px\right)\,\mathrm dx\)

which we can again split into the even/odd cases,

\(b_{2k} = -\dfrac1{k\pi}\)

\(b_{2k-1} = \dfrac{4(-1)^{k+1}+2(2k-1)\pi}{(2k-1)^2\pi^2}\)

So the sine series is

\(\displaystyle \sum_{k=1}^\infty\left(b_{2k}\sin\left(k\pi x\right) + b_{2k-1}\sin\left(\frac{(2k-1)\pi}2x\right)\right)\)

I've attached plots of the extended versions of f(x) along with the corresponding series up to degree 4.

Step-by-step explanation:

The definite integral of sin^5(x)dx from 0 to pi/2 can be evaluated using the method of substitution.

Let u = sin(x), then du = cos(x)dx

The integral becomes:

∫sin^5(x)dx = ∫u^5du from 0 to sin(π/2)

= (u^6)/6 evaluated at sin(π/2) and 0

= (sin^6(π/2))/6 - 0

= (1^6)/6

= 1/6

So, the definite integral of sin^5(x)dx from 0 to pi/2 is equal to 1/6.

The solution of the expression is,

a) 3,724

b) 2,784

We have to given that,

a) Divide 70,756 by 19.

b) Subtract 940 from your answer to part a).​

Now, We can simplify as,

a) Divide 70,756 by 19.

⇒ 70,756 ÷ 19

⇒ 3,724

And, Subtract 940 from your answer to part a).​ that is, 3724

⇒ 3724 - 940

⇒ 2,784

Therefore, The solution of the expression is,

a) 3,724

b) 2,784

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Answer:

Option B is correct.

Step-by-step explanation:

m(y + o)

=> my + mo

Therefore, Option B is correct.

Hoped this helped.

The maximum lower bound and minimum upper bound for the median number of points the basketball player scored over his last 21 games are:

Lower bound = 9.5

Upper bound = 30

In basketball, players can score 1, 2, 3 (or even 4 or 5 points) during a possession.

Players who score five points are fouled in the act of shooting a three-pointer and making the shot.

Players who score four points attempt a three-pointer and make the subsequent foul shot.

Players who score three points go beyond the 3-point line, in bounds.  

Players who score two points go inside the 3-point line, in bounds.

Players who score one point make free throws.

Basketball scores =  1, 2, 3, 4, 5 points

Median = 3 per possession

9.5   10  12.5   15   15.5   18.5   20  21.5  25    26   30    30

Thus, the maximum lower bound and minimum upper bound for the median number of points the basketball player scored over his last 21 games are 9.5 and 30.

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Relative Frequency of Scores

30 30 26 25 20 15 10 9.5 12.5 15.5 18.5 21.5

Answer:

2 1/3 as an improper fraction is 7/3

Answer:

\(\frac{7}{3}\)

Step-by-step explanation:

\(2\frac{1}{3}=\frac{(2*3)+1}{3}\\\\\\ =\frac{6+1}{3}\\\\=\frac{7}{3}\)

The number of steps they climbed can be represented by positive

From the question, we understand that they climbed up

Upward movements are usually represented by the positive sign

This means that:

Steps = 125 or +125

Hence, the number of steps they climbed can be represented by positive

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Answer:

A fourth of the circle or a quarter of the circle

Answer:

\(f(x)=9*\frac{5}{3}^x\)

Step-by-step explanation:

When x equals 0, that means a is going to be multiplied by 1 since any number to the power of 0 is 1, so \(f(0)=a=9\). When x equals 1, that means that \(f(1) = 9b=15\), so \(b=\frac{15}{9} =\frac{5}{3}\). This means that the equation should be \(f(x)=9*\frac{5}{3}^x\).

How much energy points you have on KA? I have 3, 736,486 points.

Answer: y=-1/2x+4

Step-by-step explanation: slope = -1/2 so m= -1/2. Plug in -1/2 for m in the equation y=Mx+b. y=-1/2x+b. Plug in 2 for x and 3 for y to find b. 3=-1/2(2) + b. 3=-1+b so b=4.

Answer: Here is your equation :)

Point-Slope form: y − 3 = − 1/2 ⋅ (x − 2)

Slope-Intercept form: y = − 1/2x + 4

,  Hope this helps :)

Have a great day!!

Answer:

1:4

Step-by-step explanation:

Answer:

1 : 4

Step-by-step explanation:

5:20

Divide each side by 5

5/5 : 20/5

1 : 4

Hey there!

\(4+6/2*5-3\)

Let's start solving.

\(4+\frac{2*3}{2}*5-3\\ 4+3*5-3\\4+15-3=16\\16(ANSWER)\)

Hope this helps!

\(\text {-TestedHyperr}\)

Answer:

x = 2

y = 1

Step-by-step explanation:

-2x-3y=-7, y=6x-11

-2x - 3(6x - 11) = -7

-2x - 18x + 33 = -7

-2x - 18x = -40

-20x = -40

x = 2

y = 6(2) - 11

y = 12 - 11

y = 1

Answer:

x = 2, y = 1

Step-by-step explanation:

We have a system of equations:

-2x - 3y = -7

y = 6x - 11

Substitute the given value of y into the equation -2x - 3y = -7

-2x - 3 * (6x - 11) = -7

-20x = -7 - 33

-20x = - 40

x = 2

Substitute the given value of x into the equation y = 6x - 11

y = 6x - 11

y = 6 * 2 - 11

y = 1

Answer:

14.85

Step-by-step explanation:

Answer:

The correct answer is 2

Step-by-step explanation:

I already did this assignment. Its the upper quartile minus the lower quartile so it literally cannot be 14.85.

Given :

length = 28

width = 18

Shape of garden is:

So the perimeter of garden is:

for half circle :

so

Radius of circle is half of width that is 9

So fence length of the garden is:

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality.

The boundary line that separates the coordinate plane into two halves by a linear inequality represents the solutions to the inequality in one half. For > and, the border line is solid, and for and, it is dashed.

To determine the equation governing the inequality line, enter your slope and a point into the formula y = mx + B, where "m" denotes the slope, "x, y" denotes a point on the line, and "b" is the y-intercept. By inserting (0, 0), you get 0 = 0 + b, which equals 0.

When you rewrite the equation, you get y = x/2. The linear inequality x - 5 > 3x - 10 is an illustration. Due to the greater than symbol being utilised in this inequality, the LHS is clearly greater than the RHS.

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