Answer:3x^2-5x+2=0
Step-by-step explanation:
Format of a quadratic equation= ax^2 +bx+c
Let x=1 and 2/3
When x=1
x-1=0.......(1)
When x=2/3
x-2/3=0.........(2)
Compare the equations
(x-1)(x-2/3)=0
x^2-2/3x-x+2/3=0
x^2-5/3x+2/3=0
Multiply all terms by 3
3x^2-5x+2=0
Tina throws a baseball straight up from a height of 3 feet and at a speed of 50 feet per second. The height of the ball in feet is given by the polynomial -16t^2+50t+3, where t is the time in seconds. How high is the ball after 3 seconds?
Answer:
9 feet
Step-by-step explanation:
The height of the ball in feet is given by the polynomial:
[tex]h(t) = -16t^2+50t+3[/tex]
where t is the time in seconds.
After 3 seconds, t = 3:
[tex]h(3) = -16(3)^2 + 50(3) + 3 \\\\h = -144 + 150 + 3 = 9 feet[/tex]
The height of the ball after 3 seconds is 9 feet.
Solve the following math problem using Roman numerals.
VII + X =
XIV
XVII
XV
XX
Answer:
XVII
Step-by-step explanation:
VII + X =
V = 5
I = 1
X = 10
5+1+1 + 10 = 17
XVII
What is the average rate of change from x = −1 to x = −2?
Answer:
Step-by-step explanation:
this graph is probably : 2(x+1)^(2)+5:
it was transformed :
vertically stretched by a factor of 2
left 1 unit
up 5 units
from the graph, we can see that the points are (-1, 5) and (-2, 7)
m=(y2-y1)/(x2-x1)
m=(7-5)/(-2-(-1))
m=2/-1
m=-2
What is the slope of the line graphed below
Answer: D 2
Step-by-step explanation: Because slope is the diffrence between the two points y/x which is 6/3 which is equal to 2
Answer:
Slope= 2
Step-by-step explanation:
There are three steps in calculating the slope of a straight line when you are not given its equation.
Step One: Identify two points on the line.
Step Two: Select one to be (x1, y1) and the other to be (x2, y2).
Step Three: Use the slope equation to calculate the slope.
please mark me brainliest :)
Looking at the histogram, where would the median fall?
Answer:
The median would be found in the middle of the histogram
Step-by-step explanation:
It looks like 70-79, would fall in being the median because it is in the middle and it has the most results. In this case, I think it 70-79.
Hope this helps.
Answer:
70-79
Step-by-step explanation:
I took the test :)
How do I find the area of this figure?
Answer:
140 units^2
Step-by-step explanation:
Area of a parallelogram is base times height, A = bh. Multiply the height (10) times the base (14) to get your final answer.
A = bh
A=14(10)
A=140units^2
Expand and simplify ( √2 + 3)to the power of 2
Answer:
Step-by-step explanation:
[tex](\sqrt{2}+3)^2=(\sqrt{2})^2 + 6\sqrt{2}+9 = 6\sqrt{2} +9+2=6\sqrt{2}+11[/tex]
hope this helps
Let a be a non-zero rational number and be an irrational number. Is a/b rational or irrational?
Answer: Irrational, assuming b is irrational
Step-by-step explanation:
You didnt state what "b" is, but:
Youre dividing "a" by an irrational number. you could do something simple like 4 divided by pi. Youre going to get an irrational number
2.
Name the quadrant in which the point lies:
(a) A (1, 1)
(b) B (2,4)
(c) C (-3,-10)
(d) D (-1,2)
(e) E (1, -1)
() F (-2,-4)
(9) G (-3, 10)
(h) H (1, -2)
Answer:
hope this helps! pls mark brainliest
Step-by-step explanation:
a = quadrant 1
b = quadrant 1
c = quadrant 3
d = quadrant 2
e = quadrant 4
f = quadrant 3
g = quadrant 2
h = quadrant 4
The numbers 1,6,8,13,15,20 can be placed in the circle below, each exactly once, so that the sum of each pair of numbers adjacent in the circle is a multiple of seven
in fact, there is more than one way to arrange the numbers in such a way in the circle. Determine all different arrangments. Note that we will consider two arrangments to be the same if one can be obtained from the other by a series of reflections and rotations
Answer:
[tex]\fbox{\begin{minipage}{4em}36 ways\end{minipage}}[/tex]
Step-by-step explanation:
Step 1: Re-state the problem in an easier way to set up a permutation problem
"The numbers 1,6,8,13,15,20 can be placed in the circle below, each exactly once, so that the sum of each pair of numbers adjacent in the circle is a multiple of seven"
The series above can be represented again, in form of:
7a + 1, 7b - 1, 7c + 1, 7d - 1, 7e + 1, 7f - 1
with a, b, c, d, e, f are non-negative integers.
=> 3 numbers are multiply of 7 plus 1
=> 3 numbers are multiple of 7 minus 1
Step 2: Perform the counting:
For the 1st number, there are 6 ways to select
To satisfy that each pair of numbers creates a multiple of 7, then:
For the 2nd number, there are 3 ways left to select
For the 3rd number, there are 2 ways left to select
For the 4rd number, there are 2 ways left to select
For the 5th number, there are 1 way left to select
For the 6th number, there are 1 way left to select
=> In total, the number of possible ways to select:
N = 6 x 3 x 2 x 2 x 1 x 1 = 72
However, these numbers are located around a circle, each option is counted twice.
=> The final number of possible ways:
N = 72/2 = 36
Hope this helps!
:)
10 pts!
How can you determine if two triangles have a scale factor?
Answer:
When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles. In Figure 1 , Δ ABC∼ Δ DEF. Figure 1 Similar triangles whose scale factor is 2 : 1. The ratios of corresponding sides are 6/3, 8/4, 10/5. hope that helps love!
Answer:
i dont know but here is some help
Step-by-step explanation:
Scale Factor. Suppose you have two similar figures , one larger than the other. The scale factor is the ratio of the length of a side of one figure to the length of the corresponding side of the other figure. Example: Here, XYUV=123=4 .
Express the ratio 700g to 1.75kg in its lowest terms.
Give your answer in the form m:n where m and n are integers
Answer:
2 : 5
Step-by-step explanation:
700 g : 1.75 kg
Since ratio should be between same units, so we'll convert either g into kg or kg into g. For convenience, kg will be converted to g
700 g : 1.75 kg × 1000
700 g : 1750 g
÷ 50 ÷50
14 : 35
÷7 ÷7
2 : 5
Which similarity postulate or theorem can be used to verified that the two triangles shown below are similar? PLEASE HELP ASAPP
Answer:
Correct option: A -> AA postulate
Step-by-step explanation:
In the figure we can see that in triangle ABC we have:
A = 53°
B = 72°
And we can see in the triangle LMN that:
L = 53°
M = 72°
We have two pairs of angles (A - L and B - M) that are congruent, and therefore we can use the case AA (angle-angle) to affirm that these triangles are similar.
So the correct option is A: AA postulate.
Which measure is always the 50th percentile?
mean
median
upper quartile
Answer:
median
Step-by-step explanation:
the median is literally the middle number--half the numbers are higher, half the numbers are lower.
Find sin3A, cos
3A and tan 3A when sin=1/2
Answer:
Sin 3A = 1
cos 3A = 0
tan 3 A = undefined
Step-by-step explanation:
[tex]\sin A = \frac{1}{2} \\ \therefore \: \sin A = \sin \: 30 \degree.. \bigg( \because \: \sin \: 30 \degree = \frac{1}{2} \bigg) \\ \therefore \: A = 30 \degree \\ \\ now \\ \sin 3A =\sin (3 \times 30 \degree)= \sin \: 90 \degree = 1 \\ \\ \cos 3A =\cos (3 \times 30 \degree)= \cos \: 90 \degree = 0\\\\ \tan 3A =\tan (3 \times 30 \degree)= \tan \: 90 \degree = \infty [/tex]
Using the midpoint method (show your work), calculate the price elasticity of demand when the price of a barrel of gosum berries rises from $10 to $20. What kind of elasticity is this value that you computed for the price elasticity of demand and what does it mean for how demand will change based on a change in price within this price range?
Answer:
0.18
Step-by-step explanation:
Given that:
P₁ = $10, P₂ = $20
From the tables Q₁ = 900, Q₂ = 800
Using midpoint method:
Percentage change in quantity = [tex]\frac{Q_2-Q_1}{(Q_1+Q_2)/2} *100\%=\frac{800-900}{(900+800)/2}*100\%= -11.76\%\\[/tex]
Percentage change in price =
[tex]\frac{P_2-P_1}{(P_1+P_2)/2} *100\%=\frac{20-10}{(20+10)/2}*100\%= 66.67\%\\[/tex]
Price of elastic demand = Percentage change in quantity/ Percentage change in price = -11.76% / 66.67% = 0.18
The Price of elastic demand is positive because we took the absolute value and elasticity are always positive
Therefore since Price of elastic demand < 1, the demand is inelastic in this interval.
This means that, along the demand curve between $10 to $20, if the price changes by 1%, the quantity demanded will change by 0.18%. A change in the price will result in a smaller percentage change in the quantity demanded. For example, a 10% increase in the price will result in only a 1.8% decrease in quantity demanded and a 10% decrease in the price will result in only a 1.8% increase in the quantity demanded
Find the volume of the sphere. Use 3.14 for Pi. Round your answer to the nearest thousandth. A sphere with diameter 10 inches. a. 4186.667 cu. in. b. 523.333 cu. in. c. 104.667 cu. in. d. 294.375 cu. in. Please select the best answer from the choices
Volume of a Sphere Formula:
[tex]\displaystyle V = \frac{4}{3} \pi r^3[/tex]
Diameter/Radius Relationship:
[tex]\displaystyle r = \frac{d}{2}[/tex]
ApplicationStep 1: Define
Let us clearly sort out what information this specific problem gives us:
We are given that the shape is a sphere.We are also given that the diameter of the sphere is equal to 10 inches.Finally, we are asked to find the volume of the sphere.We can consolidate this into mathematical symbols:
[tex]\displaystyle d = 10 \ \text{in}[/tex][tex]\displaystyle V_{\text{Sphere}} = \ ?[/tex]Step 2: WorkGiven what we know, we now need to find the volume of the sphere. With knowledge implied, found under the General Formulas and Concepts section above, we can first solve for the radius [tex]\displaystyle r[/tex]:
[tex]\displaystyle\begin{aligned}r & = \frac{d}{2} \\& = \frac{10 \ \text{in}}{2} \\& = \boxed{5 \ \text{in}} \\\end{aligned}[/tex]
∴ the radius of the sphere is equal to 5 inches.
Now that we have our radius, we can substitute this value into our volume of a sphere formula and evaluate:
[tex]\displaystyle\begin{aligned}V & = \frac{4}{3} \pi r^3 \\& = \frac{4}{3} \pi (5 \ \text{in})^3 \\& = \frac{4}{3} \pi (125 \ \text{in}^3) \\& = \boxed{ \frac{500}{3} \pi \ \text{in}^3 } \\\end{aligned}[/tex]
∴ the volume of the sphere is equal to [tex]\boxed{ \frac{500}{3} \pi \ \text{in}^3 }[/tex].
To estimate our answer, we can simply substitute the value of [tex]\displaystyle \pi[/tex] for 3.14, as defined by the problem, and evaluate once more:
[tex]\displaystyle\begin{aligned}V & = \frac{4}{3} \pi r^3 \\& = \frac{4}{3} \pi (5 \ \text{in})^3 \\& = \frac{4}{3} \pi (125 \ \text{in}^3) \\& = \frac{500}{3} \pi \ \text{in}^3 \\& = \frac{500}{3} (3.14) \ \text{in}^3 \\& \approx \boxed{ 523.333 \ \text{in}^3 }\end{aligned}[/tex]
∴ the volume of the sphere is approximately equal to [tex]\displaystyle \boxed{ 523.333 \ \text{in}^3 }[/tex].
Answer∴ the best answer choice that corresponds to our gathered result is answer choice b. 523.333 cu. in.
___
Learn more about volume: https://brainly.com/question/27749754
Learn more about geometry: https://brainly.com/question/16893579
___
Topic: Geometry
Unit: Volume
make b the subject of the formula a = sqrt(b+6)
Answer:
a = √(b+ 6)
a² = b + 6 (Square both sides)
b = a² - 6 (subtract 6 from both sides)
Answer:
b = a^2 - 6
Step-by-step explanation:
a = sqrt(b+6)
Find the square of both sides
a^2 = (b+6). Open brackets
a^2 = b+6
Subtract 6 from both sides
a^2 - 6 = b + 6 -6
b = a^2 - 6
Suppose that you received an unexpected inheritance of $39,200.You have decided to invest the money by placing some of the money in stocks that pay 4.8% and the rest in bonds that pay 8%.How much should you place in each investment in order to earn 6%or $2352 annually?
simplify a^3 x b x a^3 x b
Answer:
[tex] {a}^{6} {b}^{2} [/tex]
solution
[tex] {a}^{3} \times b \times {a}^{3} \times b \\ = {a}^{3 + 3} \times {b}^{1 + 1} \\ = {a}^{6} {b}^{2} [/tex]
hope this helps...
Good luck on your assignment..
Answer:
[tex]a^{6}b^{2}[/tex]
Step-by-step explanation:
[tex]a^3 \times b \times a^3 \times b[/tex]
If there are no exponents written, then the exponent is 1.
[tex]a^3 \times b^1 \times a^3 \times b^1[/tex]
When multiplying two powers that have the same base, you can add the exponents.
[tex]a^{3+3} \times b^{1+1}[/tex]
[tex]a^{6} \times b^{2}[/tex]
What is the simplified form of each expression? a. (6 + 3)2 − 4 b. 23 + (14 − 4) ÷ 2
Answer:
a. 14
b. 28
Step-by-step explanation:
a. ex: (6+3)2 - 4 = 9(2) - 4
18 - 4 = 14
b. ex: 23 + (14 - 4) / 2
Use PEMDAS
P 1st
10
D over A
5
A
28
Hope this helps!
4. In parallelogram PQRS, QP is extended to point T and ST is drawn. If ST SP and
m
130°
80°
65°
50°
In parallelogram PQRS, QP is extended to point T and ST is drawn. If ST = SP and m∠R = 130°, what is m∠PST?
Answer: 80°
Step-by-step explanation:
ST = SP and m∠R = 130°
If m∠R = 130°, then,
QPS = 130° ( Opposite angles of a parallelogram are equal)
QPS + SPT = 180° (angle on a staght line)
130° + SPT = 180°
SPT = 180° - 130° = 50°
PTS = SPT = 50° (Base Angle of an isosceles triangle)
m∠PST = 180° - (50° + 50°) (sum of Angle in a triangle)
m∠PST = 80°
41 points. What is the range of this data set? 2.1, 2.6, 7.2, 5.5, 4.1, 5.5, 7.5, 6.1 A. 5.1 B. 5.5 C. 5.4 D. 7.5
Answer:
C. 5.4
Step-by-step explanation:
Range means highest number minus lowest number.
7.5 - 2.1 = 5.4
[tex]answer =5.4 \\ given \: data = 2.1 , 2.6 , 7.2 , 5.5 ,4.1 , 5.5 ,7.5 , 6.1 \\ range = highest \: score - lowest \: score \\ \: \: \: \: \: \: \: \: = \: 7.5 - 2.1 \\ \: \: \: \: \: = 5.4 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
!35 POINTS! Find the total surface area of the following prism!
Answer:
152
Step-by-step explanation:
Why is this still worth 18 points?
because if you math 12+273 it = 8281 or something free point thank
Look how many points u get on this.
What is the mean of this data set?
12, 17, 16, 10, 20, 13, 14, 14, 12, 12, 19, 18
A 13.50
B 14.00
C 14.75
D 15.75
Answer:
C. 14.75
Step-by-step explanation:
To find mean is fairly easy. All you have to do is add all of the numbers in your data set, and then divide it by the total amount of numbers in the set. So:
12 + 17 + 16 + 10 + 20 + 13 + 14 +14 + 12 + 12 + 19 + 18
Total numbers in the set: 12
All numbers added together: 177
177 / 12 = 14.75
brainliest is always epic :)
Answer:
Step-by-step explanation:
1. First add all the listed numbers which equals to 177
2. Divide 177 by the amount of number given above so there are
12 numbers
So 177÷12= 14.75
Answer is c
Need answers quick. Find the endpoint of the line segment with the given endpoint and midpoint. Endpoint: (−6,−6) Midpoint: (−2,0)
Answer: The second endpoint is (2,6)
Step-by-step explanation:
[tex]\frac{-6 +x}{2}[/tex] = -2 solve for x
-6 +x = -4
+6 +6
x= 2
[tex]\frac{-6+y}{2} = 0[/tex]
-6 + y = 0
+6 +6
y= 6
Solve 3^x - 5. What are the exact and approximate solutions?
Answer:
x = log(5) / log(3)
x=1.46497
Step-by-step explanation:
3^x - 5 =0
Add 5 to each side
3^x = 5
Take the log of each side
log 3^x = log 5
We know log a^b = b log (a)
x log (3) = log (5)
Divide side by log (3)
x = log(5) / log(3)
x=1.46497
En un colegio hay dos grupos de 1º ESO con 24 alumnos cada uno.
a) Si las chicas de 1º A son el doble que los chicos, ¿cuántas chicas hay en la clase?
b) Si el número de chicas de 1º B supera en cuatro al de chicos, ¿cuántos chicos
hay?
Answer:
I will answer in English.
In each group, A and B, we have 24 students.
a) The number of girls in A is twice the number of boys in A.
Then, if G is the number of girls and B the number of boys.
G + B = 24
G = 2B
Now we can replace the second equation into the first one:
2B + B = 24
3B = 24
B = 24/3 = 8
G = 24 - 8 = 16
We have 16 girls in class A.
b) In B we have 4 more girls than boys, then:
G = B + 4
G + B = 24
we can replace the first equation into the second one:
B + (B + 4) = 24
2*B = 24 - 4 = 20
B= 20/2 = 10
We have 10 boys in class B:
1: make x the subject: 4(x+y) = z
2: make b the subject: ab + cd = e
Answer:
1.x=(z/4)-y
2.b=(e-cd)/a
Step-by-step explanation:
1.
z=4(x+y)
Divide both sides by 4
z/4=x+y
Subtract y from both sides
(z/4)-y=x
Answer
x=(z/4)-y
2.
ab+cd=e
subtract cd from both sides
ab=e-cd
divide both sides by a
b=(e-cd)/a
Answer
b=(e-cd)/a
Answer:
[tex]1) x = \frac{z}{4} - y[/tex]
[tex]2) b = \frac{e}{a} - \frac{cd}{a}[/tex]
Explanation:
(1) Making x the subject: [tex]4(x + y) = z[/tex]
To make x the subject of original expression, we send the x to the left side of expression and all of the other components to the right side of expression.
The detail procedure is described as following:
[tex]4(x + y) = z[/tex]
Apply associate property:
<=> [tex]4x + 4y = z[/tex]
Send 4y to the right side (the sign of 4y must be changed from positive to negative):
<=> [tex]4x = z - 4y[/tex]
Divide both sides by 4:
<=> [tex]x = \frac{z}{4} - y[/tex]
(2) Make b the subject: [tex]ab + cd = e[/tex], applying the similar procedure in part (1):
[tex]ab + cd = e[/tex]
Send [tex]cd[/tex] to the right side (the sign of
<=> [tex]ab = e - cd[/tex]
Divide both sides by [tex]a[/tex]:
<=> [tex]b = \frac{e}{a} - \frac{cd}{a}[/tex]
Hope this helps!
:)
nothing to do + tired = ????
Answer: Go and do something :)
Step-by-step explanation:
Get off your phone and get the motivation to fo and find something to do for now :)
