Does the point (3, - 5) lie on the line y =
- 3x + 4?

Answer: 1+log3(10)

Step-by-step explanation:

Answer:

[tex]6[/tex]

Step-by-step explanation:

[tex]\log _3\left(27\right)+\log _2\left(8\right)\\\log _3\left(27\right)=3\\\log _3\left(27\right)\\\mathrm{Rewrite\:}27\mathrm{\:in\:power-base\:form:}\quad 27=3^3\\=\log _3\left(3^3\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)\\\log _3\left(3^3\right)=3\log _3\left(3\right)\\=3\log _3\left(3\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(a\right)=1\\\log _3\left(3\right)=1\\=3\cdot \:1\\\mathrm{Multiply\:the\:numbers:}\:3\cdot \:1=3\\=3[/tex]

[tex]\log _2\left(8\right)=3\\\log _2\left(8\right)\\\mathrm{Rewrite\:}8\mathrm{\:in\:power-base\:form:}\quad 8=2^3\\=\log _2\left(2^3\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)\\\log _2\left(2^3\right)=3\log _2\left(2\right)\\=3\log _2\left(2\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(a\right)=1\\\log _2\left(2\right)=1\\=3\cdot \:1\\\mathrm{Multiply\:the\:numbers:}\:3\cdot \:1=\\=3\\=3+3\\Simplify\\=6[/tex]

Answer:

x= −2/3y+2

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

Answer:

The answer is 44

Step-by-step explanation:

Hope this HELPED you

Answer:

y = 733x

Step-by-step explanation:

y equals the total amount of waste collected, 733 is the number of tons collected every month, and x is the number of months.

If this answer is correct, please make me Brainliest!

Answer:

Step-by-step explanation:

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2x + 5y = 19

x - 2y = -4

Multiply the second equation by 2

2x - 4y = -8

Now we have:

2x + 5y = 19

2x - 4y = -8

Subtract the second eq from the first to get:

9y = 27

/ 9

y = 3

Now substitute this value into one of the first equations

x - 2(3) = -4

x - 6 = -4

x = 2

Thus, your answer would be option B

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Answer:

2

Step-by-step explanation:

4^2-2^3

2^2(2) - 2^3

2^4 - 2^3

2^(4/3)

2^1 = 2

Answer:

Step-by-step explanation:

3p^4 and 4p =  p(3p^3 and 4)

14xy^2 and 21y^3 =   7y^2(2x and 3y)

Answer:(5,2)

Step-by-step explanation:

Answer:

29 inches

Step-by-step explanation:

4 + 7 + 4 + 11 = 29 inches

Answer:

0 and 8

Step-by-step explanation:

for some reason i got a warning giving you the answer so here it is, i got the evidence from a calculator.

Answer:

0,8 is correct

Step-by-step explanation:

Answer:

12%

Step-by-step explanation:

1,020/8,500= ?/100

correct me if i am wrong

Answer:

Hello There the Correct answer is D. 12%

All you really need to do is Divide 1,020 8,500 and you will get 12. So the answer is D.

Answer: an expression equivalent would be 4(3-4x)

Answer:

4(3-4x)

I hope I helped you! Please mark me brainiest if I am correct. Thanks!

Answer: D

Step-by-step explanation:

Because  if y is the number of light bulbs he orders and he always orders three extra or three more that means that for any number of orders that he makes there will be three more. That three will never change since he always others three more than he ordered.

Answer:

y = x + 3

Step-by-step explanation:

Answer:

volume ≈ 930 cm³ (nearest cubic cm)

Step-by-step explanation:

The base of the prism which is a pentagon is regular. The apothem which is a line drawn from the center to any side of the pentagon is 4 cm. The height of the prism is 16 cm.

The volume of a prism = Bh

where

B = base area

h = height of the prism

The base of the prism can be divided into 5 congruent triangles.But the base of the triangles is unknown.

The sum of interior angle of a pentagon is 540°. That means each angle is 108° . The triangle divide the angle into 2. Making the 2 base angle as 54° each. The last angle of the triangle at the center is 72°(remember sum of angle in a triangle is 180° which is 54° + 54° + 72° = 180°) .

The angle form the center can be divided by the line of height of the triangles. The angle will then be 36°. Using tangential ratio half of the length of the base of the triangle can be known. Therefore,

tan 36° = opposite/adjacent

tan 36° = opposite/4

opposite = 4 tan 36°

The full base of the triangles = 2(4 tan 36°)

area of each triangle = 1/2 × 2(4 tan 36°) × 4 = 16 tan 36°

Base area of the prism(pentagon) = 5 × 16 tan 36° = 80 tan 36°

Volume of the prism = Bh

where

h = 16 cm

B = 80 tan 36°

volume =  80 tan 36° × 16 = 1280  tan 36° = 1280  × 0.726542528

volume = 929.974435847  cm³

volume ≈ 930 cm³ (nearest cubic cm)

Answer:

12

Step-by-step explanation:

If i could show i would but i did it and it is 12.

So the right answer is -12.

Look at the attached picture

Hope it will helpful to you...

Answer:  Graph attached.

Step-by-step explanation:

It is easier to figure it out if you can see it.

Also easier if you rewrite the equation in quadratic form:

y = 4x² + 4x + 5

Answer:

±(2√11 * i) / 11

Step-by-step explanation:

Quadratic Formula: x = (-b ± √b^2 - 4ac) / 2a

a = -11

b = 0

c = -4

(0 ± √0 - 176) / 22

± √-176 / 22

±(4√11 * i) / 22

Simplify:

±(2√11 * i) / 11

***i is for imaginary number***

Answer:

لافصرقغه3ق3

Step-by-step explanation:

4ل5خ2ىاق

Answer:

Step-by-step explanation:

TQ = QR

Ray t bisects TR. TR is divided into  two equal parts

Answer:

y= -3x + 7

That is the answer.

Answer:

π

Step-by-step explanation:

Solving without L'Hopital's rule:

lim(x→0) sin(π cos²x) / x²

Use Pythagorean identity:

lim(x→0) sin(π (1 − sin²x)) / x²

lim(x→0) sin(π − π sin²x) / x²

Use angle difference formula:

lim(x→0) [ sin(π) cos(-π sin²x) − cos(π) sin(-π sin²x) ] / x²

lim(x→0) -sin(-π sin²x) / x²

Use angle reflection formula:

lim(x→0) sin(π sin²x) / x²

Now we multiply by π sin²x / π sin²x.

lim(x→0) [ sin(π sin²x) / x² ] (π sin²x / π sin²x)

lim(x→0) [ sin(π sin²x) / π sin²x] (π sin²x / x²)

lim(x→0) [ sin(π sin²x) / π sin²x] lim(x→0) (π sin²x / x²)

π lim(x→0) [ sin(π sin²x) / π sin²x] [lim(x→0) (sin x / x)]²

Use identity lim(u→0) (sin u / u) = 1.

π (1) (1)²

π

Solving with L'Hopital's rule:

If we plug in x = 0, the limit evaluates to 0/0.  So using L'Hopital's rule:

lim(x→0) [ cos(π cos²x) (-2π cos x sin x) ] / 2x

lim(x→0) [ -π cos(π cos²x) sin(2x) ] / 2x

-π/2 lim(x→0) [ cos(π cos²x) sin(2x) ] / x

Again, the limit evaluates to 0/0.  So using L'Hopital's rule one more time:

-π/2 lim(x→0) [ cos(π cos²x) (2 cos(2x)) + (-sin(π cos²x) (-2π cos x sin x)) sin(2x) ] / 1

-π/2 lim(x→0) [ 2 cos(π cos²x) cos(2x) + π sin(π cos²x) sin²(2x) ]

-π/2 (-2)

π

Answer:

x = 3/2

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

We know that a^b / a^c = a^ (b-c)

12 ^ -8  / 12 ^ -9

12 ^ (-8 - -9)

12 ^ (-8+9)

12 ^ 1

12

Answer:

The Answer is 12. (Someone deleted my answer because I didn't show any work.)

Step-by-step explanation:

1. 12^-8/12^-9 -->  12^-8-(-9)

2. 12^-8+9

3. 12^1= 12

4. Therefore the answer is 12.

Answer:

96% confidence interval for desired retirement age of all college students is [54.30 , 55.70].

Step-by-step explanation:

We are given that a survey was conducted to determine the average age at which college seniors hope to retire in a simple random sample of 101 seniors, 55 was the  average desired retirement age, with a standard deviation of 3.4 years.

Firstly, the Pivotal quantity for 96% confidence interval for the population mean is given by;

                         P.Q. =  [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex]  ~ [tex]t_n_-_1[/tex]

where, [tex]\bar X[/tex] = sample average desired retirement age = 55 years

            [tex]\sigma[/tex] = sample standard deviation = 3.4 years

            n = sample of seniors = 101

            [tex]\mu[/tex] = true mean retirement age of all college students

Here for constructing 96% confidence interval we have used One-sample t test statistics as we don't know about population standard deviation.

So, 96% confidence interval for the population mean, [tex]\mu[/tex] is ;

P(-2.114 < [tex]t_1_0_0[/tex] < 2.114) = 0.96  {As the critical value of t at 100 degree

                                               of freedom are -2.114 & 2.114 with P = 2%}  

P(-2.114 < [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] < 2.114) = 0.96

P( [tex]-2.114 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]{\bar X-\mu}[/tex] < [tex]2.114 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.96

P( [tex]\bar X-2.114 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]\mu[/tex] < [tex]\bar X+2.114 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.96

96% confidence interval for [tex]\mu[/tex] = [ [tex]\bar X-2.114 \times {\frac{s}{\sqrt{n} } }[/tex] , [tex]\bar X+2.114 \times {\frac{s}{\sqrt{n} } }[/tex] ]

                                           = [ [tex]55-2.114 \times {\frac{3.4}{\sqrt{101} } }[/tex] , [tex]55+2.114 \times {\frac{3.4}{\sqrt{101} } }[/tex] ]

                                           = [54.30 , 55.70]

Therefore, 96% confidence interval for desired retirement age of all college students is [54.30 , 55.70].

To find probability, you must divide the number of events by the number of possible outcomes.

An event (or favorable outcome) is an outcome that is desired.

An outcome is one of many things that could happen.

Since the events occur two times, they must be doubled.

In this case, there are 400 possible outcomes and 20 number of events.

The probability of you playing one of your top 10 favorite songs for 2 days is 0.05.

Answer: D.

This is tricky.

Think of the equation as an equation for a line

where in this case.      

[tex]C=5/9(f-32)[/tex]

or

[tex]C=5/9f-5/9(32)[/tex]

You can see the slope of the graph is [tex]5/9[/tex]  which means that for an increase of 1 degree Fahrenheit, the increase is [tex]5/9[/tex].

[tex]c=5/9(f)[/tex]

[tex]c=5/9(1)=5/9[/tex]

Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of [tex]9/5[/tex] Degrees Fahrenheit

[tex]c=5/9(f)[/tex]

[tex]1=5/9(f)[/tex]

[tex]f=9/5[/tex]

Since [tex]9/5=1.8[/tex] Statement 2, is true.

The only answer that has both statement I and statement II as true is D, but if you have time and want to be absolutely thorough, you can also check to see if statement III (an increase of [tex]5/9[/tex] degree Fahrenheit is equal to a temperature increase of 1 degree Celsius) is true:

[tex]c=5/9(f)[/tex]

[tex]c=5/9(5/9)[/tex]

[tex]c=25/81[/tex] which is ≠ 1)

An increase of [tex]5/9[/tex] degree Fahrenheit leads to an increase of [tex]25/81[/tex]

not 1 degree, Celsius, and so Statement III is not true.

The final answer is D.

I hope this helped x

Answer:

D!!!!

Step-by-step explanation:

Answer:

The distances between the three pairs of corresponding vertices for each movement must be equal. That is, if you translate points A to A', B to B', et cetera, the distance between A and A', and B and B' are the same.

A translation is a rigid transformation that moves vertices of a figure a fixed distance.

In a general way, a translation moves all points on a shape a fixed distance.

Answer:

Each distance between the three pairs of corresponding vertices is the same. Based on this observation, a translation is a transformation in a coordinate plane that moves the vertices of a shape a fixed distance. In fact, a translation moves all points on a shape a fixed distance.

Sample answer for Edmentum and Plato Users

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Answer:b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I took the assignment