Answer:
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
given - an equation and its roots !
To find - values of a and b in the given equation ~
[tex]Quadratic \: eq {}^{n} = ax {}^{2} + 7x + b = 0 \\ [/tex]
roots of the question are [tex] \dashrightarrow - 3 \: and \: \frac{2}{3} \\ [/tex]
Now ,
[tex]Sum \: of \: zeroes \: ( \: \alpha \: + \: \beta \: ) = - \frac{ - b}{a} \\ \\ \implies \: - 3 + \frac{2}{3} = \frac{ - 7}{a} \\ \\ \implies \: \frac{ - 9 + 2}{3} \\ \\ \implies \frac{ - 7}{3} = \frac{ - 7}{a} \\ \\ \underline{on \: comparing} \\ \\\bold\red{\implies \:a = 3}[/tex]
further ,
[tex]Product \: of \: zeroes \: ( \: \alpha \: \times \beta \: ) = \frac{c}{a} \\ \\ \implies \: (- \cancel {3})( \frac{2}{\cancel3} ) = \frac{b}{a} \\ \\ \implies \: - 2 = \frac{b}{3} \\ \\ \implies \: b = 3 \times - 2 \\ \\ \bold\red{\implies \: b = - 6}[/tex]
hope helpful :D
A 20 foot ladder is leaning against the side of a building. If the bottom of the ladder is 12 feet away from the base of the building, how far up the side of the building does the ladder reach? Draw a picture and show your work. (2 points)
Answer:
The ladder reaches is 16 feet far up the side of the building
picture below
Step-by-step explanation:
Graham and hunter are circus performers. a cable lifts graham into the air at a constant speed of 1.5 ft/s. when graham’s arms are 18 ft above the ground, hunter, who is standing directly underneath graham, throws graham a ball as the cable continues to lift him higher. hunter throws the ball from a position 5 ft above the ground with an initial velocity of 24 ft/s. which system of equations can be used to model this situation? startlayout enlarged left-brace 1st row h = 18 1.5 t 2nd row h = 5 24 t minus 16 t squared endlayout startlayout enlarged left-brace 1st row h = 18 1.5 t 2nd row h = 5 24 t 16 t squared endlayout startlayout enlarged left-brace 1st row h = 18 1.5 t 2nd row h = 5 24 t endlayout startlayout enlarged left-brace 1st row h = 18 1.5 t minus 16 t squared 2nd row h = 5 24 t 16 t squared endlayout
Therefore, the system of equations that can be used to model this situation is h= 5 + 24t -16t^2.
What is the system of equation about?The equations that were given in the system above are :
h = 18 + 1.5t
h = 5 + 24t - 16t^2
Note that:
The rate of Speed = distance divided by time
Since Speed = 1.5ft/s
Distance = 18ft
To know the time which was not given, the equation will be:
1.5ft/s = 18ft/t
1.5t=18
The equation to know height h= 18 + 1.5t
Since Graham moved another 5ft along with a velocity of 24ft/s
Therefore, the system of equations that can be used to model this situation is h= 5 + 24t -16t^2 and as such, option A is correct.
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Answer:
so its A
Step-by-step explanation:
edge 2023
B. Solve the inequalities. Show your work as it is done in the examples. (Hint: One answer will be "no solution" and one answer will be "all real numbers".) See Exs. 3 thru 12.
4. |x| > -11
As the degrees of freedom increase, the t distribution approaches the _____ distribution.
Using statistical concepts, it is found that as the degrees of freedom increase, the t distribution approaches the z-distribution.
When should the t-distribution and the z-distribution be used?If we have the standard deviation for the sample, the t-distribution should be used.If we have the standard deviation for the population, the z-distribution should be used.For large sample sizes, that is, a large number of degrees of freedom in the t-distribution, the t distribution approaches the z-distribution.
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The spinner shown is spun 5 times. What is the probability that you will spin white exactly 3 times?
Answer:
3 / 5
Step-by-step explanation:
Total = 5
Probability of spinning white exactly 3 = 3 / 5
if you put one penny in a room at 12:00 every minute that penny doubles, in 1 hour at 1:00 the room is full. at what time was the room halfway full?
Answer: It would be 1 min since it doubles every minute. Similarly, it'll be half full the minute before its full is 59.
Step-by-step explanation:
19 cm 15 cm triangle and I don’t know the other side
Answer:
well it looks equal to 15 cm so its probably 15 cm
Give brainliest :)
Finding the surface area
Answer: so you do length times width times height and then you divide by two
Step-by-step explanation:
How many radians is each angle of an equilateral triangle?
Answer:
[tex]\displaystyle \frac{\pi}{3}[/tex] radians
Step-by-step explanation:
As an equilateral triangle has all angles congruent to each other, each angle is measured 60°
To convert from degrees to radians, we multiply by π/180
Hence, [tex]\displaystyle 60^\circ*\frac{\pi}{180}=\frac{60\pi}{180}=\frac{\pi}{3}[/tex]
7) Find the number of rotations
needed for this wheel to travel 100
feet if the radius of the wheel is 1
foot?
IL
Answer:
16 full rotations
Step-by-step explanation:
If the radius is 1 foot, cirumference is what we need to get in order to figure out how many rotations are necessary.
Circumference = 2 pi r
[tex]2 * \pi * r = 6.28\\100 / 6.28 = 15.92[/tex]
If a parallelogram has congruent
diagonals, then it is a rectangle.
Choose the equivalent statement.
A. Ifa parallelogram is not a rectangle, then it does not have
congruent diagonals.
B. If parallelogram does not have congruent diagonals, then it is a
rectangle.
C. If a parallelogram is a rectangle, then it does not have congruent
diagonals.
Answer: A
Step-by-step explanation:
The contrapositive of a statement is logically equivalent to the original statement.
1. Which is the best method for solving the quadratic equation? Explain why using a sentence. Then solve the quadratic equation using the method chosen. Leave all answers in simplest radical form.
Try to only choose each method once, but you may use a method twice.
• Take the square root of each side.
• Factor and use the zero-product property.
• Complete the square.
• Use the quadratic formula.
A. 2a2 = 72
B. x2 -10x +16= 0
C. y2 + 6y = 2
Answer:
Below.
Step-by-step explanation:
A. Take the square root of each side.
2a^2 = 72
a^2 = 36
a = -6, 6.
B. Factor and use the zero-product property
(x - 2)(x - 8) = 0
x = 2, 8.
C. Complete the square.
y^2 + 6y = 2
(y + 3)^2 - 3^2 = 2
(y + 3)^2 = 2 + 9 = 11
Taking square roots:
y + 3 = +/- √11
y = -3 + √11, -3 - √11
mean: _.5
Median: 5._
Answer: Mean=4.5
Median=5.5
Step-by-step explanation:
MEAN= Add all of the numbers together then divide by 18 to get 4.5
Median=To find the median, first order your data. Then calculate the middle position based on n, the number of values in your data set. If n is an odd number, the median lies at the position (n + 1) / 2. If n is an even number, the median is the mean of the values at positions n / 2 and (n / 2) + 1. This should get you 5.5
Como diferenciar em uma imagem o angulo nulo do angulo meia volta?
Answer: Hay 360° en un giro completo, 180° en medio giro y 90° en un cuarto de giro. Un cuarto de vuelta se llama ángulo recto.
Step-by-step explanation:
9. how many small cubes aside 4 cm can be filled in a rectangular box with an internal dimension of 1.6 dm long. 1.4 dm and 1.2 dm high?
pls pasagot ayan nalang kailangan ko po pls
appreciate it ko kung kahit wala nang solution basta pls sagot lang po
[tex] \small \blue{\boxed{{\colorbox{white}{42}}}} [/tex]
that's my answer
Question
The scatterplot shows data related to the number of oil changes a car owner gets per year and the amount of money, in dollars, the owner spends on repairs during that year. The equation of the line of best fit is y=−99x+725.
if sin x =cos 60° what is the value of x
Answer:
the answer is 30
Step-by-step explanation:
cos60=1/2=>sinx=1/2=>x=30
Complete the sentence below.
The expression 52x – 169 is equivalent to
Answer:
Read the explanation below.
Step-by-step explanation:
2(26x-84.5)
Can you pls help me with this
Answer:
it's (1, 2)
Step-by-step explanation:
you just look at where the 2 lines cross
pls answer i neend this done
Answer:
The correct answer is D) -15, 15
Step-by-step explanation:
(-)15^2 = 225
Therefore, x^2 = 225 = (-)15^2
Answer:
It is (D) -15,15
Explantion:
The square root of 225 is 15
A container of orange juice has a pH of 3.3. Find the concentration of hydronium ions in the milk.
pH = -log[H30+]
The concentration of the hydronium ions in the milk is 5.011×10⁻⁴ if the container of orange juice has a pH of 3.3.
What is pH value?The pH of a solution is a measurement of the concentration of hydrogen ions in the solution, as well as its acidity or alkalinity. Normally, the pH scale ranges from 0 to 14.
We have:
A container of orange juice has a pH of 3.3.
The pH value = 3.3
[tex]\rm pH = -log[H_3O^+][/tex]
[tex]\rm 3.3 = -log[H_3O^+][/tex]
Removing log:
[tex]\rm 10^{-3.3}=[H_3O^+][/tex]
[tex]\rm [H_3O^+] = 5.011\times10^{-4}[/tex]
Thus, the concentration of the hydronium ions in the milk is 5.011×10⁻⁴ if the container of orange juice has a pH of 3.3.
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if 5% of an item is .50 cents what is original price
Answer:
$10.00
Step-by-step explanation:
5 % of 100 is 55 × 20 = 100so just multiply .50 by 20 and that comes out to 10 dollarsPLEASE HELP ME I'M DESPERATE.
Delta Math Question!!!
Answer:
cos S = [tex]\frac{7}{25}[/tex]
Step-by-step explanation:
this is a 7- 24- 25 right angle with RS = 7 , then
cos S = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{RS}{QS}[/tex] = [tex]\frac{7}{25}[/tex]
2. Let's pretend I'd give you a penny today, two pennies
tomorrow, four pennies the next day, etc. Write a function
that expresses the amount of money I'd be giving you on
thenth day. Give us your function in the initial post and give us
a little explanation about how it works.
Would you rather have me give you 40 days of this money
scheme or a billion dollars?
Here is an inequality: -2x > 10.
list 3 values for x that would make this inequality true.
1) x=
2) x=
3) x=
Answer:
x=-10 x=-11 x=-12
Step-by-step explanation:
-10*-2=20 since -10*2=-20 and a negative number multiplied by a negative number is positive. 20>10 is true. -11*-2 is equal to 22, 22>10, -12*-2=24, 24>10.
Use the Law of Sines to find the missing angle of the triangle.
Find m∠B to the nearest tenth.
Answer:
m∠B = 70.0° (nearest tenth)
Step-by-step explanation:
Sine Rule for Angles
[tex]\sf \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]
(where A, B and C are the angles and a, b and c are the sides opposite the angles)
Given:
a = 13c = 19A = 40°Substituting the given values into the formula to find m∠C:
[tex]\implies \sf \dfrac{\sin 40^{\circ}}{13}=\dfrac{\sin C}{19}[/tex]
[tex]\implies \sf \sin C=\dfrac{19\sin 40^{\circ}}{13}[/tex]
[tex]\implies \sf C=\sin^{-1}\left(\dfrac{19\sin 40^{\circ}}{13}\right)[/tex]
[tex]\implies \sf m \angle C=69.96086904^{\circ}[/tex]
Interior angles of a triangle sum to 180°
[tex]\implies \sf m \angle A+ m \angle B+m \angle C=180^{\circ}[/tex]
[tex]\implies \sf 40^{\circ} + m \angle B+69.960...^{\circ}=180^{\circ}[/tex]
[tex]\implies \sf m \angle B=70.03913...^{\circ}[/tex]
Therefore, m∠B = 70.0° (nearest tenth)
Help me please I will mark the brainiest and give many points
Only the arrangement and order Is different else all are similar
in first method Kiran created a table which produces all values in the order [1,6] to H and T.
In second method Priya created a flow chart type tree diagram which produces all values in order H and T to [1,6]
So they both produce same answers as both are like inverses of each other ,
If you try to understand then think about relations
Kiran:[1,6]—>{H,T}Priya:{H,T}—»[1,6]So they are ought to form same values just in different order .
#2
Second method is more applicable as its more understandable and easier
A bag has 5 red and 8 blue marbles. What is the probability of drawing a red then blue, if the first marble has not been replaced after it has been drawn?
Answer:
5/13
Step-by-step explanation:
5+8=13
Red = 5/13
Blue = 8/13
2.8 meters less 2.5 meters equals how many centimeters
Answer: 30 centimeters
Step-by-step explanation:
We will subtract and then convert units.
2.8 meters less 2.5 meters = 2.8 meters - 2.5 meters = 0.3 meters
0.3 meters * 100 = 30 centimeters
If this problem is not asking for 2.8 meters minus 2.5 meters - and is stating something else - please comment so I can fix my answer.
what is 35x 67 solve the question
Answer:
2,345
Step-by-step explanation:
This is a simple multiplication problem.
35 × 67 = 2345
