where is the maximum value for this quadratic function?


A) (1, 0)

B) (0, 3)

C) (–1, 4)

D) (–3, 0)

Answer:

B

Step-by-step explanation:

Given the expression:

[tex]log_{1/2} 462 [/tex]

we want to find an equivalent expression.

Change of base formula:

[tex]log_{a} b = \frac{log b}{log a} [/tex]

where log means logarithm with base 10, also known as common logarithm.

Then, the expression of the problem is transformed into:

[tex]log_{1/2} 462 = \frac{log 462}{log (1/2)} [/tex]

Answer:

Part 1) [tex]m\angle AFE=55^o[/tex]

Part 2) [tex]m\angle EFB=125^o[/tex]

Step-by-step explanation:

Part 1) what is the measure of angle AFE

we know that

The measure of the interior angle is the semisum of the arches that comprise it and its opposite.

Note: In this problem the correct measure of arc EA is 40 degrees (see the picture)

so

[tex]m\angle AFE=\frac{1}{2}(arc\ EA+arc\ DB)[/tex]

substitute the given values

[tex]m\angle AFE=\frac{1}{2}(40^o+70^o)=55^o[/tex]

Part 2) what is the measure of angle  EFB?

we know that

[tex]m\angle AFE+m\angle EFB=180^o[/tex] ---> by supplementary angles (form a linear pair)

so

substitute the given value

[tex]55^o+m\angle EFB=180^o[/tex]

[tex]m\angle EFB=180^o-55^o=125^o[/tex]

The measure of angle AFE is 60 degrees and the measure of angle EFB is 10 degrees. This is derived from the property that the measure of an inscribed angle is half the measure of its intercepted arc.

The measure of an inscribed angle (an angle whose vertex is on the circle) is half the measure of its intercepted arc. The measure of angle AFE is half the sum of arc EA (50 degrees) and arc DB (70 degrees), while the measure of angle EFB is half the difference of arc EA and arc DB.

Therefore:

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Answer:

The answer is D

Final answer:

The total change in temperature when a substance is consistently heated by 6 °C each hour for 60 hours is 360 °C, calculated by multiplying the hourly temperature increase by the number of hours.

Explanation:

To calculate the total change in temperature when a substance is heated by a consistent amount over a period of time, you simply multiply the rate of temperature change per hour by the total number of hours. In this case, the substance was heated by 6 °C each hour for 60 hours. So, the calculation will be 6 °C/hour * 60 hours.

The total change in temperature is therefore 6 °C/hour * 60 hours = 360 °C. This calculation shows the cumulative effect of consistent heating over a certain period.

Answer: 7.5

Step-by-step explanation: It's negative, so the opposite would be positive.

Answer:

7.5

Step-by-step explanation

They are both matching integers

mark me brainliest if I helped:D

Answer:

(-8,0)

Step-by-step explanation:

(-4×2 + 0, 0×2 + 0)

(-8,0)

Final answer:

The image of point L (-4,0) after a dilation with a scale factor of 2 from the center (0,0) is L' (-8,0).

Explanation:

To find the image of the point L (-4,0) after a dilation with a scale factor of 2 from the center (0,0), you multiply the coordinates of the point by the scale factor. Therefore, the coordinates of point L after dilation (L') would be (-4 × 2, 0 × 2) = (-8, 0).

The image of point L after the dilation is L' with coordinates (-8, 0).

There are 6 faces on a cube. Each face is equal to the area of one square.

Area of one square = 2.5 x 2.5 = 6.25 units^2

Surface area = 6.25 x 6 = 37.5 units^2

Hope this helps!! :)

Answer:

37.5

Step-by-step explanation:

Since it is a cube, all edges are 2.5. To find one side, you do 2.5x2.5. That gives you 6.25. And you have 6 sides. So 6.25x6 = 37.5.

Answer:

The band needs to sell 4 more items from their fundrasier than the chorus needs to sell for their fundraiser.

Step-by-step explanation:

First we have to see how far each of the groups are from completing their goal.

For chorus, we get 2620-1225=1395 dollars.

For band, we get 2400-1314=1086 dollars.

Now, we see how long it takes for them to get to their goals.

For chorus, we get 1395/25 = 55.8. because they can't sell 0.8 of a set of candles, it round up to 56 candles.

For band, we get 1086/18.25 ≈ 59.5. because they can't sell half of a 3 gallon tubs of caramel popcorn, they have to sell 60.

So, when both of the funraisers meet their goals, the band needs to sell 4 more items from their fundrasier than the chorus needs to sell for their fundraiser.

Answer and Step-by-step explanation:

The journal entries are shown below:

On March 12

Account receivable A/c Dr $11,000

         To Sales $11,000

(Being the goods are sold on credit)

On March 11

Cash  $10,780

Sales discount  ($11,000 × 2%)          $220

       To Account receivable $11,000

(Being the cash received is recorded)

Only these two entries are recorded

Since the payment is made within 10 days so Grace hospital is eligible for the discount

Answer:

B) 15.6

Step-by-step explanation:

Pythagorean thm:  [tex]a^{2} +b^{2} =c^{2} \\[/tex]

Substitute each of the lengths for the legs like so:

[tex]10^{2} +12^{2} = c^{2}[/tex]

then expand the exponent and you will get c= 15.62

I think it's 11.40

Step-by-step explanation:

hope it's right

Answer:

216.67

Step-by-step explanation:

Answer:

g(h(a)) = 6a-1

Step-by-step explanation:

They are trying to confuse you for no reason.

it migt be easier if you think of g(a) instead as g(x)=2x-3

So h(a)=3a+1, and we pu it info g(x), which would make it 3a+1=x, so g(3a+1) = 2(3a+1)-3=6a+2-3=6a-1

Answer:

130º

Step-by-step explanation:

use the conveyor xd

Answer:

i believe the answer for your question is 80 cm.

Step-by-step explanation:

A rectangle is a closed two-dimensional figure with four sides. The opposite sides of a rectangle are equal and parallel to each other and all the angles of a rectangle are equal to [tex]90[/tex] degree and the volume of the rectangular prism is [tex]60cm^{3}[/tex]

What is rectangle ?

A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to [tex]90[/tex] degrees.

Here the size of one cube is [tex]1 centimeter[/tex].

As we know, the volume of the rectangle is:-

[tex]Volume=(Length)(Breadth)(Height)\\V=(4)(3)(5)\\V=60 cm^{3}[/tex]

Hence, the volume of the rectangular prism Wendy built​ is [tex]60cm^{3}[/tex].

To learn more about rectangle

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Answer:

100

Step-by-step explanation:

I counted

Answer:

3. Terms

4. Like terms

5. Coefficient

Step-by-step explanation:

Please keep in mind that Brainly shouldn't be used to cheat on tests or exams.

Answer:

Step-by-step explanation:

Markup price= 15% of 500

[tex]=\frac{15}{100}*500\\\\=15*5\\[/tex]

= $ 75

Selling price = 500 + 75 = $ 575.00

Answer:

median =55

Step-by-step explanation:

The median is the middle number.  It will fall exactly between those two numbers.  Take the average

(51+59)/2 = 110/2 =55

The median is the middle number of a data set. We can find the median using two by the following.

51 + 59 = 110

110 / 2 = 55

The median is 55!

Best of Luck!

The probability that three randomly chosen students were all born on a Wednesday is 1/343.

In a week, there are seven days, one of which is a Wednesday. Therefore, the probability that any one person was born on a Wednesday is 1/7. Assuming each student's birthday is independent of the others, the individual probabilities of each student being born on a Wednesday are multiplied together to find the combined probability of three students all being born on a Wednesday.

Thus, the probability of all three students being born on a Wednesday is:(1/7) x (1/7) x (1/7) = 1/343

So, the correct answer is d. 1/343.

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Answer:

Step-by-step explanation:

hello :

the area is : A=(b×h)/2   b=6     h=9

A= (6×9)/2 =27ft2

The formula for area of a triangle is 1/2(b x h).

First, we'll have to identify our base and height. Since the problem gives them to us, we can rewrite the formula as 1/2(6 x 9).

From there, we can solve by multiplying.

1/2(6 x 9)

1/2(54)

And finally, we can divide to find the area.

1/2(54)

27

Therefore the area of the triangle is 27 feet.

Hope this helps! :)

Answer:

i got I got y=.57x + 2.3 for the line of best fit

I got about 12.56 for number two by plugging 18 into x

Step-by-step explanation:

I plugged it into my calculator

Area of the parallelogram = (base length) x (height)

Step-by-step explanation:

The parallelogram has 2 different sides.

To find:

The expression to calculate the area of parallelogram.

Base of the parallelogram= 5(1/4) in.

Height of the parallelogram= 4(1/5) in.

Area of the parallelogram= base x height

= 5(1/4) x 4(1/5) = 1 square inches.

So, the expression to calculate the area of the parallelogram is,

 Area = (base length) x (height)

Answer: 151

Step-by-step explanation:

In this situation we have two cones, the big cone with volume [tex]V_{big}[/tex] and the small cone with volume [tex]V_{small}[/tex].

Now, if we want to know the total volume [tex]V_{T}[/tex] we have to substract [tex]V_{small}[/tex] from  [tex]V_{big}[/tex], but first we have to calculate each volume:  

For the big cone:

[tex]V_{big}=\frac{\pi R^{2} H}{3}[/tex]

Where:

[tex]R=\frac{Diameter}{2}=\frac{8 in}{2}=4 in[/tex]

[tex]H=9 in[/tex]

Then:

[tex]V_{big}=\frac{\pi (4 in)^{2} 9 in}{3}[/tex]

[tex]V_{big}=150.79 in^{3}[/tex] Volume of big cone

For the small cone:

[tex]V_{small}=\frac{\pi r^{2} h}{3}[/tex]

Where:

[tex]r=\frac{diameter}{2}=\frac{1 in}{2}=0.5 in[/tex]

[tex]h=1 in[/tex]

Then:

[tex]V_{small}=\frac{\pi (0.5 in)^{2} 1 in}{3}[/tex]

[tex]V_{small}=0.261 in^{3}[/tex] Volume of small cone

Calculating the total volume:

[tex]V_{T}=V_{big}-V_{small}[/tex]

[tex]V_{T}=150.79 in^{3}-0.261 in^{3}[/tex]

Finally:

[tex]V_{T}=150.52 in^{3} \approx 151 in^{3}[/tex]

Answer:

151 in^3

Step-by-step explanation:

Find the volume of the cones the subtract them to get your final answer

Answer:

Step-by-step explanation:

Cost = $500

Tax = 9.5%

Total amount spent =

5 x 9.5

= 47.5 + 500

= $547.5

Answer: 7/9

I hope that helps. That’s the answer I got.

Answer:

Step-by-step explanation:

[tex][ \frac{5}{6}-(\frac{1}{3})^{2}]*\frac{1}{2}=[\frac{5}{6}-\frac{1}{9}]*\frac{1}{2}\\\\=[\frac{5*3}{6*3}-\frac{1*2}{9*2}]*\frac{1}{2}\\\\=[\frac{15}{18}-\frac{2}{18}]*\frac{1}{2}\\\\=[\frac{15-2}{18}]*\frac{1}{2}\\\\=\frac{13}{18}*\frac{1}{2}\\\\=\frac{13}{36}[/tex]

Answer:

k =2.57

Step-by-step explanation:

3.1+k=5.67

Subtract 3.1 from each side

3.1-3.1+k=5.67-3.1

k =2.57

Answer:

k=2.57

Step-by-step explanation:

Okay so first things first we have to eliminate 3.1 so we can get the variable k by itself.

 3.1+k=5.67

-3.1    -3.1

k=2.57

Just in case if you're confused we have to isolate thats why we were subtracting both sides by 3.1

(Hope you find this helpful ;w;)

Answer:

  -45/2 = -22.5

Step-by-step explanation:

The applicable rules of exponents are ...

  [tex](a^b)(a^c)=a^{b+c}\\\\\sqrt[n]{a^m}=a^\frac{m}{n}\\\\\dfrac{1}{a^b}=a^{-b}[/tex]

__

These rules let us rewrite the expression as ...

  [tex]\dfrac{3x^{\frac{7}{2}}y^{-4}}{\sqrt[4]{16x^2y^4}}=\dfrac{3}{16^{\frac{1}{4}}}\cdot x^{\frac{7}{2}-\frac{2}{4}}y^{-4-\frac{4}{4}}=\dfrac{3}{2}\cdot x^3y^{-5}[/tex]

Now, we know the values of a, b, c:

  a = 3/2, b = 3, c = -5

Their product is (3/2)(3)(-5) = -45/2 = -22.5.

Answer:

A is true.

Step-by-step explanation:

The square root of 65 is approximately 8.06226. This means that 8 is less than [tex]\sqrt{65}[/tex] but [tex]\sqrt{65}[/tex] is less than 9.

Let me know if you need anymore help

Step-by-step explanation:

as we know that the power will be multiplied then

[tex] ({5}^{3} ) ^{6} [/tex]

[tex] {5}^{18} [/tex]

Hope it will help :)