Answer:
x = 2
Step-by-step explanation
4x - 3 = 6x - 7
+7 +7 Adding seven so we can isolate on the Xs
4x + 4 = 6x
-4x -4x Once again, trying to isolate the X
4 = 2x
/2x Divide by 2
2 = x
A university class has had 8 graduate students enroll so far, as well as 8 other students. Considering this data, how many of the next 12 students to enroll should you expect to be graduate students?
Finish the steps below to write a quadratic function for the parabola shown. use the vertex form, f(x) = a(x – h)2 k, and substitute in the values for h and k. f(x) = a(x – 5)2 3 use another point and substitute in values for x and f(x). solve for a. 5 = a(6 – 5)2 3 write the function, using the values for h, k, and a. the function is f(x) = (x – )2 .
The vertex form of the parabola after finishing the steps and putting the values for h, k, and a, is [2(x -5)²+ 3]
What is the vertex form of parabola?Vertex form of parabola is the equation form of quadratic equation, which is used to find the coordinate of vertex points at which the parabola crosses its symmetry.
The standard equation of the vertex form of parabola is given as,
[tex]y=a(x-h)^2+k[/tex]
Here, (h, k) is the vertex point.
Substitute the values for h and k in the above vertex form.
[tex]f(x) = a(x -5)^2+ 3[/tex]
Use another point and substitute in values for x and f(x). Solve for a.
[tex]5 = a(6 - 5)^2 +3\\5-3=a(1)\\a=2[/tex]
Rewrite the function, using the values for h, k, and a. The function is
[tex]f(x) = 2(x -5)^2+ 3[/tex]
Hence, the vertex form of the parabola after finishing the steps and putting the values for h, k, and a, is [2(x -5)²+ 3]
Learn more about the vertex form of the parabola here;
https://brainly.com/question/17987697
Answer: 1st slot: 2 | 2nd slot: 5 | 3rd slot: 3 | correct on edge 2023!
What is the volume of a hemisphere with a radius of 2.3 m, rounded to the nearest tenth of a cubic meter?
Answer:
25.3m³
Step-by-step explanation:
Which statements are correct about the two-way frequency table? check all that apply.
The table displays the quantitative data, two teachers do not wear glasses, and a total of 6 teachers were polled. Then the correct option is A, C, and E.
What is decision-making?The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.
The table is shown below.
Wear glasses Don't wear glasses Total
Student 32 97 129
Teacher 4 2 6
Total 36 99 135
The table displays the quantitative data.
Two teachers do not wear glasses.
A total of 6 teachers were polled.
More about the decision-making link is given below.
https://brainly.com/question/3369578
Answer: The Answer is B and E
Step-by-step explanation:
Please help! will give brainlest!
cscθ is the same as 1/sinθ
Explanation:
csc stands for cosec which is equivalent to 1/sinθ
The expression is thus equal to 1/[sin(4π/3)]
Since we know by consulting the unit circle that sin(4π/3) = - [(√3)/2]
we get the expression 1/[sin(4π/3)] = 1/(-√3/2)
which can be simplified to 1/(-√3/2) = 2/(-√3) = (-2√3)/3
A yurt, or circular tent, has a radius of 3 meters.
What is the area of the floor of the yurt?
Use 3.14 for π.
Enter your answer as a decimal in the box.
Answer:
area of yurt: 28.26 m²
formula:
area of circle: π * radius * radius
area of circle: πr²solving steps:
(3.14)(3)²
28.26 m²
Answer:
Radius of the circular tent (r) = 3 m
Area of the floor = Area of circle = π r²/π =3.14
Area of the floor = 3.14 x 3² = 28.26 m²
Step-by-step explanation:
# Jerry Don is here#
What is the value of the expression when n = 3?
-2n(5+n-83n)
Find the value of X
4.5
8.9
6.5
X
13
b
11
can someone answer
Please help fast! ( I'm not trying to rush yall but i need help fast! All so this is NOT high school math I just don't know how to change it sorry!)
Answer:
19%
Step-by-step explanation:
add all them up then figure out what percent of them are dimes you can do this by taking the number of dimes and dividing it by the total number of coin
46/238 = .19
Rachel's starting salary was $45,000 per year.
Rachel received a 3.7% raise every year after her first
year. How much is Rachel making now, & years later?
Answer:
After 1 year $46,665
Vf = Vi ( 1 + r/m) ^ tm
Step-by-step explanation:
Vf = Final Value
Vi = Initial Value ($45,000)
r = Interest Rate (3.7%, put in decimal form so .037)
m = Compound Rate (amount of times it increases every year, for this it would be 1)
t = Amount of years you are forecasting
45000 * (1 + .037)²
45000 * (1.037)²
45000 * 1.075369
$48,391.605 in 2 years
PLEASE HELP QUICKLY 25 POINTS
Answer:
○ [tex]\displaystyle \pi[/tex]
Step-by-step explanation:
[tex]\displaystyle \boxed{y = 3sin\:(2x + \frac{\pi}{2})} \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{4}} \hookrightarrow \frac{-\frac{\pi}{2}}{2} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 3[/tex]
OR
[tex]\displaystyle \boxed{y = 3cos\:2x} \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 3[/tex]
You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 3sin\:2x,[/tex]in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{4}\:unit[/tex]to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACKWARD [tex]\displaystyle \frac{\pi}{4}\:unit,[/tex]which means the C-term will be negative, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-\frac{\pi}{4}} = \frac{-\frac{\pi}{2}}{2}.[/tex]So, the sine graph of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 3sin\:(2x + \frac{\pi}{2}).[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph WILL hit [tex]\displaystyle [-1\frac{3}{4}\pi, 0],[/tex]from there to [tex]\displaystyle [-\frac{3}{4}\pi, 0],[/tex]they are obviously [tex]\displaystyle \pi\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle \pi.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 0,[/tex]in which each crest is extended three units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
I am delighted to assist you at any time.
Answer:
[tex]\pi[/tex]
Step-by-step explanation:
The trigonometric function shown on the graph is a continuous function, and so its period is the length of one wave of the function (i.e. the horizontal distance between a peak and the next peak, or a trough and the next trough).
From inspection of the graph, the horizontal distance between one peak and the next of the given function is [tex]\pi[/tex].
Therefore, the period of this trigonometric function is [tex]\pi[/tex]
Alannah, Colin and Hannah visit the park and collect conkers and acorns.
In total they collect the same number of conkers and acorns.
Alannah, Colin and Hannah collect conkers in the ratio 4:7:9
Alannah, Colin and Hannah collect acorns in the ratio 3:1:5
(a) Did Hannah collect more conkers or acorns?
Hannah collected more acorns than conkers.
What is Ratio?Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.
The ratio of a and b is denoted as a : b.
Given that,
Ratio of collection of conkers by Alannah, Colin and Hannah = 4 : 7 : 9
Total conkers = 4 + 7 + 9 = 20
Ratio of conkers collected by Hannah to total conkers = 9/20
Ratio of collection of acorns by Alannah, Colin and Hannah = 3 : 1 : 5
Total acorns = 3 + 1 + 5 = 9
Ratio of acorns collected by Hannah to total acorns = 5/9
LCM (9, 20) = 180
9/20 = (9 × 9) / (20 × 9) = 81/180
5/9 = (5 × 20) / (9 × 20) = 100/180
Hence Hannah collected more acorns than conkers.
Learn more about Ratio here :
https://brainly.com/question/1504221
#SPJ2
Find the Area of Each shape. (Use pi = 3.14)
Answer:
Radius = 8 in
Area = πr2 = 3.14 x (8)2= 3.14 x (64)
Area = 201.1429 in²
Step-by-step explanation:
hope this helps if not please let me now
Find the surface area of the equilateral triangular prism below.
Answer:
Area of a triangle = bh/2
Area of a rectangle = bh
The area of the triangles are the same, the area of the rectangles are the same.
triangle: 9x8/2
72/2 = 36
Rectangle: 8x14=112
There are 2 triangles and 3 rectangles so,
2(36)+3(112)
72+336= 408 in²
i need help on this pls
The graph shows △ABC and the midpoints for each segment.
What statements showing the medians of a triangle meet at a point are TRUE?
A.
The equation of the lines of the medians are x=0, y=−x+8, and y=x.
The ordered pair solution of each pair of system of equation is (0,8).
B
The equation of the lines of the medians are x=0, y=−x+8, and y=x.
The medians do not meet at one point for this triangle because one equation is a vertical line.
C
The equation of the lines of the medians are y=3x, y=4, and y=−3x+8.
The ordered pair solution of each pair of system of equation is (43,4).
D
The equation of the lines of the medians are y=3x, y=4, and y=−3x+8.
The medians do not meet at one point for this triangle because two equations have opposite slopes.
Answer: C
Step-by-step explanation:
Find the value of x.
A. 80°
B. 70°
C. 60°
D. 50°
Answer:
A
Step-by-step explanation:
80 degree becaue a triangle = 180 degress
180 - 100 = 80
Question 8 of 10
Which of the following are exterior angles? Check all that apply.
A. 4
B. 2
C. 1
D. 5
E. 3
F. 6
Answer:
A triangle's exterior angle is the angle established by one of the triangle's sides and the extension of one of the triangle's adjacent sides.
Step-by-step explanation:
FACTS:
Each vertex of a triangle has two exterior angles.
It's worth noting that the "outside" angles that are "vertical" to the angles inside the triangle aren't called to as triangle exterior angles.
1. The given triangle's angles are 1, 5, and 6.
2. Angle 3 is perpendicular to angle 5 on the inside.
3. The triangle's outside angles are 2 and 4.
The correct answers are A and B.
A triangle's exterior angle is the angle created by one of the triangle's sides and the extension of one of the triangle's adjacent sides.
Hi built the bookshelf shown below the bookshelf is 4 feet tall with a solid board on the back and each shelf measures 18 inches deep by 24 inches across if Chi wants to paint all the surfaces including the underside of each shelf and the base as well as both sides of the bookshelves back and sides how many square feet will paint
it should be 137
if not am sorry. am not the best at math
Suppose a charity received a donation of $22.2 million. If this represents 34% of the charity’s donated funds, what is the total amount of its donated funds?
Answer:
ok so lets make this into a algrebra equation
22.2(mil)=0.34x
divide by 0.34
65294117.6471=x
x=65294118
Hope This Helps!!!
SOMEONE HELP PLS, GIVING BRAINLIST TO ANYONE
Jen bought a cinnamon bun for $3. 42 and a giant candy cane for $5. 76. She then used the rest of her money to buy a notebook. She spent a total of $12. 83. How much money did Jen spend on the notebook? (5 points)
$9. 41
$7. 07
$3. 65
$2. 34
Answer:
She spent $3.65 on the notebook
Step-by-step explanation:
5.76 + 3.42 = $9.18
12.83 - 9.18 = $3.65
If the vertex of a parabola is (2,9), what is the axis of symmetry?
Answer:
x=2
Step-by-step explanation:
The Axis of Symmetry is when a line is put where it splits the parabola in the half perfectly. The vertex is where the parabola starts. The line x=2 is when it splits it into two congruent parts.
Robert had 9 golf balls. He gave Tim 4. How many did he have left?
No encuentro la respuesta
Answer: 5.
Step-by-step explanation: Originally, Robert had 9 golf balls. Then, he gave 4 to Tim, so that gives us an immediate clue that this is subtraction. We can solve this problem by the following:
9 - 4 = ?
9 minus 4 equals 5, so we can fill in the question mark with our answer:
9 - 4 = 5.
Therefore, your answer is 5.
Have a great day! :)
5
Step-by-step explanation:
It is subtraction problem 9 take away 4 and you are left with 5
Least common multiple of 45 and 7
Answer:
315
Step-by-step explanation:
45 x 7 = 315
Multiples of 7: 7, 14, 21, 28... 301, 308, 315
Multiples of 45: 45, 90, 135, 180, 225, 270, 315, 360, 405
If you need further explanation, let me know!
- profparis
Step-by-step explanation:
Least common multiple of 45 and 7 is 315
Jen buys 4 tires for $272. Each tire was the same price.
What is the cost of 1 tire
Answer: 1 tire would cost 68$
Step-by-step explanation:
can I have brainliest pls <3
Answer:
here we've been given the cost of 4 tires. and we've to find the cost of one tire.
in such a situation , we usually divide the cost of " n " number of tires by " n " ( where , n = number of tires )
so , here we go -
_____________________________
[tex]\bold{cost \: of \: 4 \: tires = 272 \: dollars }\\ \\ cost \: of \: 1 \: tire = \frac{272}{4} \: dollars \\ \\ \dashrightarrow \: 68 \: dollars[/tex]
_____________________________
hope helpful :D
If ∠GHJ≅∠IHJ and GJ=99, what is IJ?
Answer:
99
Step-by-step explanation:
Triangles GJH and IJH are congruent, so GJ=IJ=99.
can some1 explain to me how to do this
Answer:
-5 = log₄(0.0009765625)
4 = log₄(256)
Step-by-step explanation:
Apparently, you want to express a number as a logarithm. That is, you want to find y for some value of x such that ...
x = log₄(y)
Taking antilogs, this is ...
y = 4^x
__
For x =-5, the log expression would be ...
y = 4^-5 = 0.0009765625
log₄(0.0009765625) = -5
__
For x = 4, the log expression would be ...
y = 4^4 = 256
log₄(256) = 4
Steve is tossing a normal quarter. He tosses the quarter 20 times and it lands on heads 16 times. If Steve tosses the quarter again, what is the probability that it lands on tails? Input your answer in fraction form.
Answer:
1/5
Step-by-step explanation:
16 out of the 20 times landed on heads, making 4/20 times it landed on tails.
16 divided by 20 is .8 which turns into 80%
100% - 80% = 20%
To simplify into a fraction:
80/100 is equivalent to 4/5 when divided by 20, leaving 1/5 to complete the fraction which later totals to 100%
Answer:
the answer is 1/2
Step-by-step explanation:
i just did it
The students in a class collected data on the number of minutes some of them spend brushing their teeth every day. That data is shown in the dot plot below.
Answer:
4 minutes
Step-by-step explanation:
4 minutes has 2 dots associated with it . All other times have only 1 dot.
then 4 minutes is the most common out of the 7