6. Two linear equations are shown in the graph.
*(0.6)
(6,5),
COD).
(6.0)
dat
35344
tett
What are the coordinates of the point where the two lines intersect?
A. (-2, 3)
B. (3, 0)
C.(-3.3)
D. (3, 3)
Mark for review (Will be highlighted on the review page)
Alaviation

tan( 20 ) + 4 Sin( 20 ) =

( Sin( 20 ) / Cos( 20 ) ) + 4 Sin( 20 ) =

Sin( 20 ) + 4 Sin( 20 ).Cos( 20 ) / Cos( 20 ) =

Sin( 20 ) + 2 × 2 Sin(20).Cos(20)/ Cos(20) =

Sin( 20 ) + 2 × Sin( 40 ) / Cos( 20 ) =

Sin( 20 ) + 2Sin( 40 ) / Cos( 20 ) =

Sin( 20 ) + 2Cos( 50 ) / Cos ( 20 ) =

Sin( 20 ) + 2Cos( 20 + 30 ) / Cos( 20 ) =

________________________________

2 × Cos( 30 + 20 ) =

2 × [ Cos(30).Cos(20) - Sin(30).Sin(20) ] =

2 × [ √3/2 × Cos(20) - 1/2 × Sin(20) ] =

√3 Cos(20) - Sin(20)

_________________________________

Sin( 20 ) + 2Cos ( 20 + 30 ) / Cos( 20 ) =

Sin( 20 ) + √3 Cos(20) - Sin(20) / Cos(20) =

Sin(20) - Sin(20) + √3 Cos(20) / Cos(20) =

0 + √3 Cos(20) / Cos(20) =

√3 Cos(20) / Cos(20) =

Cos(20) simplifies from the numerator and denominator of fraction

√3 × 1 / 1 =

√3

And we're done ....

Answer:

64

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

volume = 7/8 cubic units

Step-by-step explanation:

[tex]volume = base \ area \times height = \frac{1}{2} \times \frac {7}{4} = \frac{7}{8} units^3[/tex]

9514 1404 393

Answer:

Step-by-step explanation:

1 m is 100 cm, so the volume is ...

  V = LWH

  V = (100 cm)(50 cm)(4 cm) = 20,000 cm³ . . . volume

__

The mass is ...

  (20,000 cm³)(2.7 g/cm³) = 54,000 g = 54 kg

The mass of the block is 54 kg.

Answer:

m=−57/92,x=−43/4

Step-by-step explanation:

Answer:

7.14%

Step-by-step explanation:

A fair number cube has 6 sides while a normal spinner has 7 different colors. In order to find the probability of Jack getting a number less than 4 and lands on blue, we need to find the probability of each individual event and multiply them together. Since the cube has six sides and 3 options that are less than 4 then the probability of getting less than 4 is 3/6. On the wheel there are 7 colors and only one is blue, therefore, the probability is 1/7. Now we multiply these fractions together.

[tex]\frac{3 * 1}{6 * 7} = \frac{3}{42}[/tex] or 0.0714 or 7.14%

Therefore, the probability of this event happening is 7.14%

The probability of this event is 7.14%.

A fair number cube has 6 sides.

While a normal spinner has 7 different colors.

In order to find the probability of Jack getting a number less than 4 and lands on blue,

we have to find the probability of each individual event and then multiply them together.

The cube has six sides and 3 options that are less than 4 then the probability of getting less than 4 is 3/6.

On the wheel there are 7 colors and only one is blue.

Therefore, the probabilitiy is 1/7.

Now we multiply these fractions together.

[tex]\frac{3\times 1}{6\times 7} =\frac{3}{42}= 0.0714[/tex]

[tex]\frac{ 0.0714 }{100}=7.14\%[/tex]

Therefore, the probability of this event is 7.14%.

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Answer: 2 primes 1 disinct

Step-by-step explanation:

Answer:

[tex]S = \{PRC, PRI,PAC,PAI,PDC,PDI,BRC, BRI,BAC,BAI,BDC,BDI\}[/tex]

Step-by-step explanation:

Given

[tex]Restaurant = \{P,B\}[/tex]

[tex]Movies = \{R,A,D\}[/tex]

[tex]Post-movie = \{C,I\}[/tex]

Required

List out the sample space

To do this, we simply pick 1 item in each category, without repetition.

So, we have:

[tex]S = \{PRC, PRI,PAC,PAI,PDC,PDI,BRC, BRI,BAC,BAI,BDC,BDI\}[/tex]

Answer:

i think false

Step-by-step explanation:

Answer:

210.

Step-by-step explanation:

10.5 x 20 = 210

i hope that helps!!!

Answer:

A. For every 1 inch of mercury the pressure increases, the boiling point is expected to increase by 1.9°F

Step-by-step explanation:

A regression model is in the form :

y = mx + c

With m being the slope = rate of change

In regression, the value of the slope gives the rate of change in y value per unit increase in the value of x

The slope in the question above is 1.9, this means for every unit increase in mercury pressure, then boiling point, y increases by 1.9°F

Answer:

Find the amplitude which is half the distance between the maximum and minimum.

Find the period of the function which is the horizontal distance for the function to repeat. If the period is more than 2π then B is a fraction; use the formula period = 2π/B to find the exact value.

Find any phase shift, h.

Step-by-step explanation:

Answer:

C.) 87

Step-by-step explanation:

if you look at it from the other side, its counting down from 91 from the left.

Answer: 87

No explanation :)

Answer:

(2x+1) +x = -35

3x= -36

x= -12

Step-by-step explanation:

Answer:

there is no graph maybe post again

Given :

A new car depreciates each year by 2.8%. When the car is 8 years old, it has a value of $42,547.24.

To Find :

The car’s original value.

Solution :

Formula of car depreciation is :

[tex]A= P( 1- \dfrac{R}{100})^n\\\\42547.24 = P( 1 - \dfrac{2.8}{100})^8\\\\42547.24 = P\times 0.8\\\\P = \dfrac{42547.24}{0.8}\\\\P = \$53184.05[/tex]

Hence, this is the required solution.

Answer:

i dont know your answer but plz can u help me in my maths question plz

Answer:

We need more info

Step-by-step explanation:

Answer:

What?

Step-by-step explanation:

You have to add more context to your question.

Answer:

[tex]P(t) = 29816591(1.025)^{t-5}[/tex]

Step-by-step explanation:

Equation:

The equation for the population of California, in t years after 1990, is given by:

[tex]P(t) = 29816591(1.025)^t[/tex]

In which 29816591 is the initial population, that is, the population in 1990.

From 1995:

First, we have to find the population in 1995(5 years after 1990), which is P(5), which we will consider as the initial value in the equation.

So

[tex]P(5) = 29816591(1.025)^5 = 33734736[/tex]

So

Since t is still given in years after 1990, we have to subtract t by 1995 - 1990 = 5 in the exponent. So

[tex]P(t) = 29816591(1.025)^{t-5}[/tex]

Answer:

x = -3, y = -3

Step-by-step explanation:

Solve the following system:

{-y + 2 x = -3 | (equation 1)

3 y + 4 x = -21 | (equation 2)

Swap equation 1 with equation 2:

{4 x + 3 y = -21 | (equation 1)

2 x - y = -3 | (equation 2)

Subtract 1/2 × (equation 1) from equation 2:

{4 x + 3 y = -21 | (equation 1)

0 x - (5 y)/2 = 15/2 | (equation 2)

Multiply equation 2 by 2/5:

{4 x + 3 y = -21 | (equation 1)

0 x - y = 3 | (equation 2)

Multiply equation 2 by -1:

{4 x + 3 y = -21 | (equation 1)

0 x+y = -3 | (equation 2)

Subtract 3 × (equation 2) from equation 1:

{4 x+0 y = -12 | (equation 1)

0 x+y = -3 | (equation 2)

Divide equation 1 by 4:

{x+0 y = -3 | (equation 1)

0 x+y = -3 | (equation 2)

Collect results:

Answer: x = -3, y = -3

Given:

The function is:

[tex]f(x)=-4(2)^x[/tex]

The graph of the function [tex]g(x)=f(x)+k[/tex] is given.

To find:

The value of k.

Solution:

We have,

[tex]f(x)=-4(2)^x[/tex]

[tex]g(x)=f(x)+k[/tex]

Using these two functions, we get

[tex]g(x)=-4(2)^x+k[/tex]

From the given graph it is clear that the graph of g(x) passes through the point (0,2). It means the point (0,2) satisfies the function g(x).

Substituting [tex]g(x)=2[/tex] and [tex]x=0[/tex] in the above function, we get

[tex]2=-4(2)^0+k[/tex]

[tex]2=-4(1)+k[/tex]

[tex]2=-4+k[/tex]

[tex]2+4=k[/tex]

[tex]6=k[/tex]

Therefore, the value of k is 6.

Answer:

[tex]\begin{array}{cc}{Stem} & {Leaves} & {4} & {7} & {5} & {2, 7, 8, 8} & {6} & {1, 6, 6, 8, 8} & {7} & {0, 2, 2, 3, 3, 5, 6, 7} & {8} & {4, 4, 4, 5, 6, 6, 7, 9} & {9} & {0, 1, 1, 2, 3, 7} \ \end{array}[/tex]

Step-by-step explanation:

Given

See comment for complete part of the question

Required

Make a stem and leaf plot

We have:

[tex]58, 52, 68, 86, 72, 66, 97, 89, 84, 91[/tex]

[tex]91, 92, 66, 68, 87, 86, 73, 61, 70, 75, 72, 73[/tex]

[tex]85, 84, 90, 57, 77, 76, 84, 93, 58, 47[/tex]

Categorize the dataset according to tens

[tex]47[/tex]

[tex]52, 57, 58, 58[/tex]

[tex]61, 66, 66, 68, 68[/tex]

[tex]70, 72, 72, 73, 73, 75, 76, 77[/tex]

[tex]84, 84, 84, 85, 86, 86, 87, 89[/tex]

[tex]90, 91, 91, 92, 93, 97[/tex]

So, the stem and leaf plot is:

[tex]\begin{array}{cc}{Stem} & {Leaves} & {4} & {7} & {5} & {2, 7, 8, 8} & {6} & {1, 6, 6, 8, 8} & {7} & {0, 2, 2, 3, 3, 5, 6, 7} & {8} & {4, 4, 4, 5, 6, 6, 7, 9} & {9} & {0, 1, 1, 2, 3, 7} \ \end{array}[/tex]

Answer:

Step-by-step explanation:

the graph will move 3 units to the right

graph 4 I think, although cannot see the picture well

Answer:

Step-by-step explanation:

The -3 translates the graph of x^3 3 units to the right.

Answer:

True

Step-by-step explanation:

If a is negative then the shape of the graph is an upside down U, which intersects the x-axis. If a is positive it will never cross the X axis.

It is true that f(x)=[tex]a^{x}[/tex]+4 will never cross the x axis if a is positive.

Function is relationship between two or more that are variables expressed in equal to form. In a function each value of x must have a corresponding value of y.

We have been given that f(x)=[tex]a^{x} +4[/tex] and we have to find whether it will cross x axis or not.

when a line crosses the x axis the value of y becomes negative. We have to first check at y=0.

[tex]a^{x}+4[/tex]=0

[tex]a^{x}[/tex]=-4

taking log both sides,

log [tex]a^{x}[/tex]=log(-4)

x log a=0.602059991+1.3437635i

x=(0.602059991+1.3437635i)/log a

when we put the value of x in f(x) the value of f(x) cannot be negative so it cannot crosses the x axis.

Hence it is true that f(x)=[tex]a^{x}[/tex]+4 will never cross the x axis if a is positive.

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Answer:

$42

Step-by-step explanation:

less than 8 is supposed to be 7 or less 6×7=$42

The elevation of the city with an elevation opposite Seeley's is -45 feet. The correct option is A.

Trigonometry is a branch of mathematics that deals with the study of the relationships between the sides and angles of triangles, and the calculations based on these relationships. It specifically focuses on the ratios between the sides of a right-angled triangle.

The elevation of a city with an elevation opposite of Seeley's can be found by taking the opposite of Seeley's elevation, which is 45 feet, to get the answer.

Therefore, the elevation of the city with an elevation opposite of Seeley's is:

A) -45 feet

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Answer:

See Below

Step-by-step explanation:

The fibonacci sequence is a recursive type sequence where each term is the sum of the two previous terms. The sequence starts out as:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811...

The fibonacci sequence can be found in nature quite often. For example, it is found in "the fruit sprouts of a pineapple, the flowering of an artichoke, an uncurling fern and the arrangement of a pine cone's bract". It can also be found in the number of tree branches in each row.

Another cool place it can be found is in the diagonals of pascals triangle (shown in the image attached)

*Disclaimer: I do not own any of the images

Answer:

4582.4

Step-by-step explanation: