Answer: It's 6.28319 feet
Step-by-step explanation:
If 3 cups of sugar are used to make 12 cupcakes, how many cups of sugar are used to make 30 cupcakes
Answer:
7.5 cups of sugar
Step-by-step explanation:
3 cups /12 cupcakes * 30 cupcakes = 7.5 cups
What is the vertex of g(x) = –3x2 18x 2? (3, –25) (–3, –25) (3, 29) (–3, 29)
Answer:
f(x) = -(x + 8)(x -14)
= -(x2 - 112 - 6x)
= -x2 + 6x + 112 --- (1)
We know the graph of an equation y = ax2 + bx + c where a ≠ 0 is a parabola. The parabola opens upwards if a > 0 and opens downwards if a < 0. The vertex of the parabola is the point where the axis and parabola intersect. Its x coordinate x = -b/2a and its y coordinate is found out by substituting x = -b/2a in the parabola equation.
The parabola given in the problem statement has a negative coefficient of x2 and hence it is a parabola which opens downwards. Also for the equation
a = -1, b = 6 and c = 112. Therefor the x-coordinate of the vertex is
x = -b/2a
= -(6)/[2(-1)]
= 3
Substituting the value of x = 3 in equation (1) we get,
Now y = -(3)2 + 6(3) + 112
= -9 + 18 + 112 = 121
So the vertex point coordinates are (3, 121) and the y value is 121.
The graph below verifies the vertex point.
vertex of the graph
What is the y-value of the vertex of the function f(x) = -(x + 8)(x - 14)?
Summary:
The y-value of the vertex of the function f(x) = -(x + 8)(x - 14) is 121.
Please help I'll give Brainliest and Thanks. its also due in 15 minutes.
Simplify: -1║2/3 - 4║ ÷ 5/6
║means an absolute value line.
A. -4
B. -25/9
C. 25/9
D. 4
Answer:
A or -4
Step-by-step explanation:
simplify to -1 || -10/3 || × 6/5
-1 × 10/3 × 6/5
-1 × 2 × 2
Which of the following is most likely the next step in the series?
:
⠀⠀⠀
OA.
OB.
O C.
OD.
The most likely next step in the series is 5 rows with 4 dots in each row and 4 columns.
Option C is the correct answer.
What is a series of patterns?A series of patterns is a sequence of recurring designs or motifs that follow a particular order or progression.
Patterns can be found in many different fields, such as mathematics, science, art, and literature.
We have,
From the series of patterns,
We see that,
In the first pattern, there are 3 rows with 2 dots in each row and 2 columns.
In the second pattern, there are 4 rows with 3 dots in each row and 3 columns.
This means,
In the third pattern, there must be 5 rows with 4 dots in each row and 4 columns.
Thus,
The most likely next step in the series is 5 rows with 4 dots in each row and 4 columns.
Learn more about series of patterns here:
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Subtract.
3x−5x−4−x2+12x−17x2−16
Step-by-step explanation:
3x - 5x - 4 - x^2 + 12x - 17x^2 - 16
= -2x - 20 - 18x^2 + 12x
= 10x - 20 - 18x^2
Hope it helpz~ uh..
A circle has a diameter of a little more than 1/2 mile. If you walk at 2 mph how long will it take to walk around the circle
Answer:
6mph
Step-by-step explanation:
valerie cut a ribbon into four pieces three of the pieces are 6 inches long the other piece is 3 inches long how long was the ribbon before valerie cut it
What is the solution of the system? Solve using matrices. 25 points
x+2y=9
x+y=1
Answer:
x = -7 and y=8Step-by-step explanation:
solnusing by elimination method 1|x+2y=9 1| x+y=1 |x+2y=9 -|x+y=1 x-x+2y-y=9-1 0+y=8 y=8 1|x+2y=9 2|x+y=1 |x+2y=9 -|2x+2y=2x-2x+2y+2y=9-2-x=7divide -1 both side with the make value of xx=-7therefore x=-7 and y=8. this is my answerhow many groups of 7 does it take to make 7 tens
Answer:
It takes 10 groups of 7 to make 7 tens
Step-by-step explanation:
I’m smart
Which of the following equations is the translation 2 units up of the graph of y= 1x1
1.y=1x-21
2.y=1x+21
3.y=1x1-2
4.y=1x1+2
Answer:
4. y = |x| + 2
Step-by-step explanation:
"g(x) = |x| + k" means that f(x) will be translated however many units up or down depending on k. If k is positive, the graph will translate up. If k is negative, the graph will translate down. Because we need to translate up, the value of k needs to be positive. The best answer choice is choice 4, y = |x| + 2.
We can eliminate choices 1 and 2 because the way the equations are set up are for the horizontal translations.
g(x) = |x - h| are for horizontal translations.
g(x) = |x| + k are for vertical translations.
The third choice is wrong as well because k is negative, not positive.
hope this helps!
Answer:
4. y = |x| + 2
Step-by-step explanation:
Your Grandmas vanilla ice cream recipe uses 3 cups of heavy cream and 1 cup of milk.
Answer:
nice
Step-by-step explanation:
very cool - crispin
Please help!! Will mark brainlyest.
Answer:
C. the X coordinates will increase by 2.Step-by-step explanation:
Here are the examples:
If a X coordinate moves 2 spaces to the left, then it will decrease.If a X coordinate moves 2 spaces to the right, then it will increase.In this case, a X coordinate will increase by 2.
Correct choice is C.
I need to know the of the blue line
Step-by-step explanation:
if i pick (3,4) and (6,10)
the formula for gradient is difference in y divided by difference in x . therefore
10-4 divided by 6 - 3 equals to 6 divided by 3 = 2
the gradient is 2
For a typical human height of 2 meter what is the horizon distance on earth (r=6378) (b mars R=3,340
The horizon's distance for a typical human being (2 m height) for earth is 5 km, for mars it is 3.7 km, for moon its 2.6 km, and for Diemos it is 0.15 km (all calculations approx).
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
The complete question is:
" For a typical human height of 2 meters, what is the horizon distance on A) Earth (R=6378 km); B) Mars ( 3,374 km); C) The Moon ( 1,738 km); Mars' moon Diemos ( 6 km) "
Radius touching the line which passes touching the circle (tangent) is perpendicular(to 90°) to it.
Consider the diagram attached below:
The distance D is the distance of horizon from the eyesight of viewer.
The value of h is the height of the observer.
For the triangle ABC, the length of the hypotenuse is: h + R
Other two sides which are mutually perpendicular are of length R and D.
Thus, by using Pythagoras theorem, we get:
[tex]R^2 + D^2 = (h+R)^2\\D = \sqrt{h^2 + R^2 + 2hR -R^2}\\\\D = \sqrt{h^2 + 2hR}\\[/tex]
(positive root as D is representing length, a non-negative quantity).
We're given h = 2, so we get:
[tex]D = \sqrt{4+4R} = 2\sqrt{1+R} \: \rm m[/tex]
A) Earth (R=6378 km);6378 km = 6378000 m
[tex]D = 2\sqrt{6379001} \approx 5051 \: \rm m \approx 5 \: km[/tex]
B) Mars ( 3,374 km);3374 km = 3374000 m
[tex]D = 2\sqrt{3374001} \approx 3674 \: \rm m \approx 3.7 \: km[/tex]
C) The Moon ( 1,738 km);
1738 km = 1738000 m
[tex]D = 2\sqrt{1738001} \approx 2637 \: \rm m \approx 2.6 \: km[/tex]
D)Mars' moon Diemos ( 6 km)
6 km = 6000 m
[tex]D = 2\sqrt{6001} = 154.93 \: \rm m \approx 0.15 \: km[/tex]
Thus, the horizon's distance for a typical human being (2 m height) for earth is 5 km, for mars it is 3.7 km, for moon its 2.6 km, and for Diemos it is 0.15 km (all calculations approx).
Learn more about Pythagoras theorem here:
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look how he has proved that
infinity is equal to 0
how please help me please please please please
Answer:
false
Step-by-step explanation:
as a guy who studied calculus, a lot of things were done that are just mathematically incorrect. for instance,
infinity - infinity is not 0.
0÷0 is undefined. so you cant just equate it to ( 2 × infinity)
to sum up this proof is entirely false.
if you still have any doubts make sure to ask.
Answer:
Refer to the attachment .
_______
Hope it helps ⚜
What is the volume of the prism?
Enter your answer in the box as a mixed number in simplest
form.
1/1/2 1/1/2 2ft
Answer:
[tex]\text{the volume of the prism =} \ 4\frac{1}{2} \ ft^3[/tex]
Step-by-step explanation:
Formula _____________________
the volume of a prism = base × height
================================
[tex]\text{base\ =} \ 2\times 1\frac{1}{2} =2\times \left( 1+\frac{1}{2} \right) =2\times \left( \frac{3}{2} \right) =3[/tex]
[tex]\text{the volume of the prism =} \ 3\times \left( 1\frac{1}{2} \right) =3\times \left( \frac{3}{2} \right) =\frac{9}{2} =4\frac{1}{2}[/tex]
One number is 1 less than three times another number. if the product of the two numbers is 102, find the number
Answer:
25.25
Step-by-step explanation:
3y-1 (y) = 102
4y-1 = 102
4y = 101
y = 25.25
Help will name Brainliest
Answer:
x = 5
Step-by-step explanation:
using the sine or cosine ratio in the right triangle and the exact value
sin30° = [tex]\frac{1}{2}[/tex] , then
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2x = 10 ( divide both sides by 2 )
x = 5
Point A is located at (-2, -3). After it is transformed, point A' is located at (-2, 3).
How was the point transformed?
It was reflected in the y-axis
it was rotated 180°
it was rotated 90 around the origin
it was reflected in the x-axis
Answer:
D.Step-by-step explanation:
All the other answers are wrong.
The points are reflected across the x-axis.
Here is why:
Point A is at (-2, -3)Point A' is located at (-2, 3)If you move across the x-axis in this form, you will see that they are reflected.Correct choice is D.
Factor the expression 25x² - 36.
O A. (5x²-6)(5x² + 6)
B. (5x-6)²
O C. The expression is already fully factored.
OD. (5x-6)(5x + 6)
Thomas drive from junction 2 to junction 3 on a road . The distance between the junctions is 12 miles and it takes 15 minutes. Hanna also drove from junction 2 to junction 3 on the road. She drove at an average speed of 50 mph . Who has the faster speed. Explain
Answer:
Hanna
Step-by-step explanation:
In order to find out how fast Thomas has drove as compared to Hanma we have to compare the speed of each other,
Speed of Hanna = 50mph (as given in ur question)
Speed of Thomas
Since the unit of time of the distance traveled by Thomas is not same as that of Hanna we have to convert the minutes into hour,
Distance traveled = 12miles
Time taken = 15minutes
Speed = 12miles/15mim
Converting minutes into hours we have to multiply by a number whose product will be 60 and that will 4
that is 15 times 4 is 60. But to make the ratio equal
we have to multiply the distance too by 4.
= 12*4/15*4
=48 miles/60minutes
=48miles/1hour
=48mph
Comparing both speeds
Speed of Hanna compared to Speed of Thomas,
50mph > 48mph
Hence, Hanna has the faster speed.
4.1: Angle Articulation
Triangle A'B'C' is a dilation of triangle ABC using center P and scale factor 2.
1. What do you think is true about the angles in A' B'C' compared to the angles in ABC?
2. Use the tools available to figure out if what you thought was true is definitely true for
these triangles.
3. Do you think it would be true for angles in any dilation?
1.) The measure of each angle of ABC is equal to the corresponding angle of A'B'C' , the measures of this angle is preserved when you rotate the triangle.
2.) It was clear that triangle A'B'C' is dilated form ABC, meaning the angles will be the same.
3.) The rules for dilation only change the length of the triangle not the angles.
Please help, I need this quickly. It's an easy trigonometric question.
Answer:c x=13
Step-by-step explanation:
straight line =180
180-50=130
7x+3x=10x
130/10=13
So the answer is x=13
Bobby spent $12 at the football game Friday night. He spent $2 on nachos, $5 on drinks, $3 on popcorn, and $2 on candy. What percentage of Bobby's expenses do the nachos and candy represent?
Answer:
33.3%
Step-by-step explanation:
$2 on nachos and $2 on candy will get you $4 spent on them both.
You then have a fraction (4/12)which is 1/3.
1/3=33.3%
(-41) + (-40) = ?
I don't understand this question ⁉️ I tried to solve it but I don't know how to check my own work.
Answer:
[tex]( - 41) + ( - 40) \\ - 41 - 40 \\ 81[/tex]
Step-by-step explanation:
I hope I helped you! :)
Allison and Amir are working on a school project together. Allison will do 3/4 of the research, and Amir will do the rest. Amir can do 1/8 of the research in an hour. How long will it take amir to complete his research
Answer: 2hours
Step-by-step explanation:
Allison does 3/4 and Amir does 1/4
Amir can do 1/8 in 1hr, how long will it take to complete ¼ work
1/4 ÷ 1/8 =2
8 cm 11 cm 14 cm volume
Answer:
410.7 cm^3
Step-by-step explanation:
volume = (l*w*h)/3
volume = (14*8*11)/3
volume = 410.667
A right triangle has one leg that is 12 units long and a hypotenuse that is 15 units long. Find the length of the other leg.
Answer:
9
Step-by-step explanation:
let's assume ;
12=a
15=c
?=b
so;
a2+b2=c2
(12)2+b2=(15)2
144+b2=225
b2=225-144
b2=81 (square root both sides)
You'll get
b=9
NB; 2 is used as squared
Answer:
ITS 9
Step-by-step explanation:
Trust me i just finished the quiz (credit to dude on top)
Please help me! I need to figure it out
[tex]Q_3-Q_1=Q_i[/tex]Answer:
The answer is 10. Frank has done more than Marquis by10.
Step-by-step explanation:
From the internet, the interquartile is Q_3-Q_1=Q_inter
From Marquis his Q_3 = 40 and Q_1 = 20
[tex]Q_3-Q_1=Q_i[/tex]
40-20=20
From Frank his Q_3 = 40 and Q_1 = 10
[tex]Q_3-Q_1=Q_i[/tex]
40-10=30
Frank's interquartile is 30 and Marquis interquartile is 20.
Differences between the both of them.
30-20=10
Several students in Ashton's class were randomly selected and asked how many text messages they sent yesterday. Their answers were 2, 0, 7, 8, 5, 8, 4, 0, 3, 6. How many students were asked? How do you know? Complete the explanation.
The total number of students that asked questions can be determined by counting the total answers. The total number of students that were asked is 10
What are sample size?The sample size is defined as the total number of respondents present in a sample.
If several students in Ashton's class were randomly selected and asked how many text messages they sent yesterday and their answers are 2, 0, 7, 8, 5, 8, 4, 0, 3, 6
The total number of students that asked questions can be determined by counting the total answers.
From the data given, the total number of students that were asked is 10
Learn more on sample size here: https://brainly.com/question/14470673