4x+1/3 y^2 what is the value when x=2 and y =3

[tex]\bf \textit{exponential form of a logarithm} \\\\ \log_a b=y \implies a^y= b\qquad\qquad a^y= b\implies \log_a b=y \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ln(x)=4\implies log_e(x)=4\implies e^4=x \\\\\\ e^8=y\implies log_e(y)=8\implies ln(y)=8[/tex]

Answer: Madeline is 20 yrs old

Step-by-step explanation:

If Laura is 50 and she is 10 years older than Raena then Raena is 40 that would then make Madeline 20 years old.

Final answer:

To determine Madeline's age, we set up an equation based on the given relationship and solved it to find that Madeline is 20 years old.

Explanation:

To solve the question about Raeana, Madeline, and Laura's ages, we first define the variables. Let's denote Madeline's age as M. Since Raeana is twice as old as Madeline, Raeana's age would be 2M.

The problem states that Laura is 10 years older than Raeana, making Laura's age 2M + 10. Given that Laura is 50 years old, we can set up an equation: 2M + 10 = 50.

Now, we solve for M:
Subtract 10 from both sides of the equation to isolate the term with M on one side: 2M = 40.

Divide both sides by 2 to solve for M: M = 20.

Therefore, Madeline is 20 years old.

The correct answer is B.

Hope this helps.

Answer:

San Fransisco

Step-by-step explanation:

If Geneva is 12°C colder than her hometown, this means that her hometown is 12°C warmer than -3°C.

Since warmer means a higher number, we find 12 + -3, which is 9°C.

The town that is 9°C is San Fransisco.

A rotation doesn't change the length of anything.

The length of the rotated line segment would be the same as the original line segment.

Because both Y values are the same, you just need to calculate the length of the X values.

5 to 0 = 5

0 to -6 = 6

Total length = 5 +6 = 11 units long.

Answer: The correct answer is B. 5.97 feet

Step-by-step explanation:

Formula⇒A=π r2

* Hopefully the work helps:) Mark me the brainliest;)!!!

Answer:

5.97 feet

Step-by-step explanation:

Set up your equation as 112.07 = Pi*r^2

To simplify, divide 112.07 by Pi or an approximation of it and then find the square root of your answer.

112.07 = Pi*r^2

112.07/Pi = r^2

(112.07/Pi)^0.5=r

Answer:

Here is the following answers I got.

Step-by-step explanation:

(70/3)

23.3333

23 1/3

Answer:

2 hours per day

Step-by-step explanation:

19.5 - 5.5 = 14

14 / 7 = 2 hours per day

Mary needs to rehearse 2 hours per day for the next 7 days to meet her total rehearsal goal.

To calculate the total rehearsal time for Mary:

She has rehearsed for 5.5 hours.

She wants to rehearse a total of 19.5 hours.

Therefore, 19.5 - 5.5 = 14 hours

She needs to rehearse an additional 14 hours in the upcoming week.

To find out how many hours Mary must rehearse per day in the next 7 days:

14 / 7 = 2 hours/day

Answer:

So option B is the correct answer .

Step-by-step explanation:

Since it is the multiplication of 1 X 3 matrix to 3 X 3 order matrix,

so the resultant product should be 1 X 3 because when we multiply two matrices it is the condition that if A is of order p X q and B is of order q X r,

the product matrix (suppose C ) will be of order p X r.

so the product will be

= [-1*3+2*2+4*0   -1*6+2*4+4*6   -1*1+2*0+4*2]

= [ 1      26     7] .

Answer:

y = -4x - 38

Step-by-step explanation:

Parallel lines are parallel because they never intersect. As such, they have the same slope. The slope of the line y = -4x + 1 is -4. Substitute m = -4 and the point (-9,-2) into the point slope form of a line.

[tex]y -y_1 = m(x-x_1)\\y --2 = -4(x --9)\\y + 2 = -4(x+9)\\[/tex]

Apply the distributive property to find the slope intercept form.

y + 2 = -4(x+9)

y + 2 = -4x - 36

y = -4x - 38

Laura has a $5,500 liability because that's what she owes and she is liable for it. She hasn't paid for it fully so the car has not become an asset. The answer is C.

Hope this helps

Answer:

I think th answer is A

Explanation:

Asset is a valuable or useful thing. The car is worth 18,000 so it is the asset. Liability is being responsible for things like debt, or something you own by law. She is responsible for the $5,500 she owes, so that is the liability. Hope this helps!

Answer:

Stacy

Step-by-step explanation:

4.23 < 4.3

Stacy is 0.07 feet taller than Erik, as of the given conditions.

Given that,
Erik is 4.23 feet tall. Stacy is 4.3 feet tall.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Heights
Stacy = 4.3 feet
Erik = 4.23 feet
Difference = 4.3 - 4.23 = 0.07 feet

Thus, Stacy is 0.07 feet taller than Erik, as of the given conditions.

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The unit price of one pencil is $0.60.

The cost of one pencil (the unit price) can be found by dividing the total cost by the number of pencils. In this case, we have $3.60 divided by 6. This gives us a unit price of $0.60 per pencil.

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Answer:

Im gonna guess and say it is answer 3.

Step-by-step explanation:

Answer:

x = 12 and y = 0

Step-by-step explanation:

Use elimination by adding the equations together.

-2x + 15y =-24

2x + 9y =  24

---------------

24y = 0

y=0

Then substitute y = 0 into one equation to find x.

-2x + 15(0) = -24

-2x + 0 = -24

-2x = -24

x = 12

Answer: x = 12 y = 0

Step-by-step explanation:

Answer:um i belevie it is 300

Step-by-step explanation:

hope this helps

Answer:

281 is already a whole number

Step-by-step explanation:

There is no decimal point

Hope your day is great!

Answer:

See explanation

Step-by-step explanation:

Definitions of parallelogram and rectangle:

A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel.

A rectangle is a parallelogram with four right angles.

This gives us that each rectangle is a parallelogram.

But an arbitrary parallelogram can have angles that are not necessarily right (for example, 60°, 120°, 60°, 120°). Thus, there are a lot of parallelograms that are not rectangles.

ANSWER

f(x) is an odd function.

EXPLANATION

The given function is symmetric with respect to the origin.

Hence it is an odd function.

We can also see from the graph that,

[tex]f(1) = 2[/tex]

and

[tex]f( - 1) = - 2[/tex]

This implies that,

[tex]f( - 1) = - f(1)[/tex]

Since

[tex]f( - x) = - f(x)[/tex]

the function is odd.

The correct answer is A.

Answer:

Part a) [tex]\frac{AB}{A'B'}=\frac{BC}{B'C'} =\frac{AC}{A'C'}[/tex]

Part b) The dilation is an enlargement, because the corresponding sides of the image are larger than the corresponding sides of the original figure.(the scale factor is greater than 1)

Part c) The scale factor is [tex]3[/tex]

Step-by-step explanation:

Part a) Write the similarity statement

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

so

[tex]\frac{AB}{A'B'}=\frac{BC}{B'C'} =\frac{AC}{A'C'}[/tex]

substitute the values

[tex]\frac{9}{27}=\frac{12}{36} =\frac{15}{45'}[/tex]

[tex]\frac{1}{3}=\frac{1}{3} =\frac{1}{3'}[/tex] ----> is true

therefore

the figures are similar

Part b) The dilation is an enlargement, because the corresponding sides of the image are larger than the corresponding sides of the original figure. (the scale factor is greater than 1)

Part c) we know that

If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor

Let

z------> the scale factor

x-----> corresponding side of the image

y------> corresponding side of the original figure

so

[tex]z=\frac{x}{y}[/tex]

we have

[tex]x=A'B'=27\ units[/tex]

[tex]y=AB=9\ units[/tex]

substitute

[tex]z=\frac{27}{9}=3[/tex]

The scale factor is greater than 1

therefore

Is an enlargement

Answer:(A) ab/a’b’=bc/b’c’=ac/a’c’ (B) Figure a’b’c’ is an enlargement because it increase it’s sides larger than 1. (C) So we have to divide to get the scale factor for both of these figures 18/6=3 then you found the scale factor 3.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Only first one

P(both green) : [tex]\frac{1}{16}[/tex], P(both blue) : [tex]\frac{1}{4}[/tex], P(first orange and then blue) : [tex]\frac{1}{8}[/tex]

These probabilities are correct.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

According to the question

Louis spins the spinner twice.

Total number of favorable outcomes = {OB, OO, OB,OG, BB, BO, BB, BG, GG, GB, GO, GB, BB, BO, BB, BG} = 16

P(both green) :

Number of favorable outcomes = 1

P(both green) = [tex]\frac{1}{16}[/tex]

It is applicable.

P(both blue) :

Number of favorable outcomes = 4

P(both blue) = [tex]\frac{4}{16}[/tex] = [tex]\frac{1}{4}[/tex]

It is applicable.

P(first green and then blue) :

Number of favorable outcomes = 1

P(first green and then blue) =  [tex]\frac{1}{16}[/tex]

P(first orange and then blue) :

Number of favorable outcomes = 2

P(first orange and then blue) =  [tex]\frac{2}{16}=\frac{1}{8}[/tex]

It is applicable.

P(first orange and then green) :

Number of favorable outcomes = 1

P(first orange and then green) =  [tex]\frac{1}{16}[/tex]

Hence,

P(both green) : [tex]\frac{1}{16}[/tex], P(both blue) : [tex]\frac{1}{4}[/tex], P(first orange and then blue) : [tex]\frac{1}{8}[/tex]

These probabilities are correct.

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Answer:

The measure of the arc KW is [tex]160\°[/tex]

Step-by-step explanation:

we know that

The inscribed angle measures half that of the arc comprising

so

[tex]m<A=\frac{1}{2}(arc\ KE+arc\ EW)[/tex]

substitute the values and solve for x

[tex](x+45)\°=\frac{1}{2}(x+20+3x)\°[/tex]

[tex](2x+90)\°=(4x+20)\°[/tex]

[tex]4x-2x=90\°-20\°[/tex]

[tex]2x=70\°[/tex]

[tex]x=70\°/2=35\°[/tex]

Find the measure of the arc KW

[tex]arc\ KW=(arc\ KE+arc\ EW)=(4x+20)\°[/tex]

substitute the value of x

[tex]arc\ KW=4(35\°)+20\°=160\°[/tex]

Answer:B

Step-by-step explanation:Probably not A

B,C,D are probably the ones

but i think its b

Circumference= [tex]2\pi r[/tex]

If the diameter is 6 the radius will be 3

[tex]2\pi (3)[/tex]

Circumference= 18.85

Hey there!

The formula for circumference is πd, where d is diameter.

We are given that the diameter is 6, so the circumference is 6π.

However, we are asked for the approximate circumference, not the exact.

So, let's use 3.14 as π and simplify.

6 x 3.14 = 18.84

The approximate circumference of a circle with the diameter of 6 is 18.84.

Hope this helps!

ANSWER

[tex]V_{cone}=\frac{1}{3} \pi t^2k[/tex]

EXPLANATION

The volume of a cylinder is given by

[tex]V_{cylinder}=\pi r^2h[/tex]

The radius of the given cylinder is r=t.

The height of the cylinder is h=k.

The volume of the given cylinder is

[tex]V_{cylinder}=\pi t^2k[/tex]

The volume of a cone with the same base radius and height is

[tex]V_{cone}= \frac{1}{3} \pi t^2k[/tex]

Answer:

The correct answer is Option 2

1/3 πt²k

Step-by-step explanation:

points to remember

Volume of cone = 1/3 πr²h

Where r - Radius of cone and

h - Height of cone

To find the volume of given cone

Here radius of cone r = t and

Height of cone h = k

Therefore we can write,

volume of cone =  1/3 πr²h =  1/3 πt²k

Therefore the correct answer is option 2

Answer:

see explanation

Step-by-step explanation:

Factorise the numerators on both fractions

a² + 10a + 25 = (a + 5)(a + 5) ← perfect square

a² - 25 = (a - 5 )(a + 5) ← difference of squares

To divide, leave the first fraction, change division to multiplication and turn the second fraction upside down.

Hence

= [tex]\frac{(a+5)(a+5)}{a+5}[/tex] × [tex]\frac{a-5}{(a-5)(a+5)}[/tex]

Cancel both the (a + 5) factors on the numerator/ denominators and the (a - 5) factor on the numerator/denominator, leaving

= 1 ← as required

Answer:

Trapezoid

Step-by-step explanation:

The points are shown in the attached graph.

You can clearly see from the picture that it is a "Trapezoid".

Trapezoid is basically a quadrilateral (4 sided-figure) that has 1/2 pair of parallel sides.

On the other hand, a parallelogram has 2 pair of parallel sides.

Thus, a parallelogram is a special type of trapezoid where there are 2 pair of parallel sides. But trapezoid need not be a parallelogram.

The picture shows 1 pair of parallel sides, hence it is a trapezoid.

Answer:

Look at the picture

Step-by-step explanation:

[tex]\log_ab=c\iff a^c=b\\\\\text{Therefore}\\\\f(x)=b^x\to y=b^x\\\\\text{find}\ f^{-1}(x).\ \text{Exchange}\ x\ \text{and}\ y\ \text{and solve for}\ y:\\\\b^y=x\qquad\text{logarithm iwth base b of both sides}\\\\\log_bb^y=\log_b(x)\qquad\text{use}\ \log_ab^m=m\log_ab\\\\y\log_bb=\log_b(x)\qquad\text{use}\ \log_aa=1\\\\y=\log_b(x)\\\\f^{-1}(x)=\log_b(x)\to g(x)=f^{-1}(x)\\\\\text{Then:}\ f(a)=b\to g(b)=a[/tex]

Answer:

[tex]\large\boxed{c.\ 7}[/tex]

Step-by-step explanation:

[tex]3x-6=21\qquad\text{divide both sides by 3}\\\\\dfrac{3x}{3}-\dfrac{6}{3}=\dfrac{21}{3}\\\\x-2=7[/tex]

Answer:  a. 1

Step-by-step explanation:

[tex]\sqrt{2x+7}+1=\sqrt{2x+14}\\\\(\sqrt{2x+7}+1)^2=(\sqrt{2x+14})^2\\\\2x+7+2\sqrt{2x+7}+1=2x+14\\\\2x+8+2\sqrt{2x+7}=2x+14\\\\2\sqrt{2x+7}=6\\\\\sqrt{2x+7}=3\\\\(\sqrt{2x+7})^2=(3)^2\\\\2x+7=9\\\\2x=2\\\\x=1\\\\\\Check:\\\sqrt{2(1)+7}+1=\sqrt{2(1)+14}\\\\\sqrt9+1=\sqrt16\\\\3+1=4\ \checkmark[/tex]