The values of k are 3, – 3 for which roots of the quadratic equation are real and equal.
What is a quadratic equation?
An equation containing one term in which the unknown is squared and no term in which it is raised to a power higher than 2.
Given: 3x² + 2kx + 3 = 0
Comparing with standard quadratic equation ax² + bx + c = 0
a = 3 b = 2k c = 3
Given that the roots of the equation are real and equal
Thus, D = 0
Discriminant D = b² – 4ac = 0
(2k)² – 4.3.3 = 0
4k² – 36 = 0
4k² = 36
k² = 9 taking square root on both sides
k = 3 or k = – 3
Hence, The values of k are 3, – 3 for which roots of the quadratic equation are real and equal.
For more references on quadratic equation, click;
brainly.com/question/17177510
#SPJ4
Look at image to answer
Answer:
Answer is 600!
Step-by-step explanation:
Which inequalities are true? Check all that apply. You
can use the tool on the right to help you.
5/6 > 4/6
3/8< 5/8
4/5 <2/5
4/7> 6/7
2/31/3
The true inequalities are:
5/6 > 4/6
3/8< 5/8
2/3 > 1/3
What is an inequality?The term "inequality" in mathematics refers to a connection between two expressions or values that is not equal to each other. Inequality originates from an imbalance, thus. The majority of the time, size comparisons between two numbers on the number line are made.
The most notable instances of social inequality include those related to health care, social class, gender inequality, and wealth disparity. Comparatively speaking, some people in the healthcare system receive better and more skilled care. For these services, they are also likely to pay more.
5/6 > 4/6
0.833 > 0.667
so, this inequality is true.
3/8 < 5/8
0.375 < 0.625
so, this inequality is true.
4/5 < 2/5
0.8 < 0.4
so, this inequality is false.
4/7 > 6/7
0.571 > 0.857
so, this inequality is false.
2/3 > 1/3
0.667 > 0.333
so, this inequality is true.
To know more about inequalities refer to:
https://brainly.com/question/24372553
#SPJ1
What the answer? help me out! hurry!!
A line has a slope of - 1/7 and passes through the point (4,5). What is its equation in point-slope form??
Answer:
Step-by-step explanation:
y - 5 = -1/7(x - 4)
y - 5 = -1/7x + 4/7
y - 35/7 = -1/7x + 4/7
y = -1/7x + 39/7
6T
5 and the radius is 2 cm? (1 point)
What is the arc length if
Answer:
Formulas for Arc Length
The formula to measure the length of the arc is –
Arc Length Formula (if θ is in degrees) s = 2 π r (θ/360°)
Arc Length Formula (if θ is in radians) s = ϴ × r
Arc Length Formula in Integral Form s= ∫ba1+(dydx)2−−−−−−−−s= ∫ba1+(dydx)2−−−−−−−−√dx
Working as a team, 8 mathletes solve 20 problems in 10 minutes. At this rate, how many mathletes solve 30 problems in 5 minutes
Step-by-step explanation:
the given ratio is
8 / 20/10 = 8 / 2 = 4
for x mathletes we need to keep the same ratio :
x / 30/5 = 4
x / 6 = 4
x = 4×6 = 24
24 mathletes.
A line has a slope of 2 and a y-intercept of 0. What is its equation in slope-intercept form
Answer:
y = 2x
Step-by-step explanation:
y = mx + b
m = 2
y-intercept = b = 0
y = 2x + 0
y = 2x
A simulated game of chess is programmed between two computers. The game is supposed to be biased in favor of player B winning 4 out of 5 times. Which is the most suspicious set of outcomes of 30 games played between the two computers?AABABBBABBBBBBBBABBBABBBBBBBBAABBABBAABBBBBABBBBBBBBBBBBBABBABBABABABABBABABABABABABABABAAABBABBBABBBBBBBBABBBABBBBBBBBB
A simulation game attempts to copy various activities from real life in the form of a game for various purposes such as training, analysis, prediction, or entertainment.
How will outcome be decided?The most suspicious set of outcomes for a simulated game of chess that is supposed to be biased in favor of player B winning 4 out of 5 times would be if player B won all 30 games. This outcome would be highly unlikely if the game was truly random and the bias towards player B was accurate. Other suspicious outcomes could include player B winning 29 out of 30 games or player B winning 28 out of 30 games with a high margin of victory in each game.
To know more about Chess visit: https://brainly.com/question/29770344
#SPJ4
PLS HELP ASAP 50 POINTS!!!
Identify or mark the missing side or angle that would make triangle ABC congruent to triangle PDF by AAS
The angles that would make triangle ABC congruent to triangle PDF by AAS are ∠ ACB and ∠ PFD i.e. ∠ ACB = ∠ PFD.
What is triangle?Three straight lines coming together create a triangle. There are three sides and three corners on every triangle (angles). A triangle's vertex is the intersection of two of its sides. Any one of a triangle's three sides can serve as its base, however typically the bottom side is used.
Given:
The triangle ABC and PDF are concurrent by AAS,
The AAS concurrency required two angles and one side to be equal,
Here,
AB = PD,
∠ ABC = ∠ PDF
Now one more angle is required to be equal,
∠ ACB = ∠ PFD
Thus, the missing angle is ∠ ACB and ∠ PFD.
To know more about Triangles:
https://brainly.com/question/16886469
#SPJ1
THIS I SUPPOSED TO BE EASY BUT I CANT GET IT GIVING BRAINLETS
Answer:
43[tex]\frac{4}{10}[/tex]Step-by-step explanation:
2/10=.2, 6.2
6.2×6=37.2
37.2+6.2= 43.4
43.4= 43[tex]\frac{4}{10}[/tex]
Pill bluethooth Speaker consists two semisphere and cyclinder. The diameter of the cylinder and semisphere is 2 inches. the height of the cylinder is a foot. The According to the Statement please fill in the blanks. please answer the following in inch format and round it to
The volume of Pill Bluetooth Speaker is 39.78 cubic inches.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Given that, Pill Bluetooth Speaker consists two semi sphere and cylinder.
The diameter of the cylinder and semi sphere is 2 inches. the height of the cylinder is a foot.
Radius =2/2 1 inch
We know that, the volume of semi sphere is 2/3 πr³
= 2/3 ×3.14×1³
= 2.1 cubic inches
We know that, 1 foot =12 inches
The volume of cylinder is πr²h
= 3.14×1²×12
= 37.68 cubic inches
Total volume =37.68+2.1
= 39.78 cubic inches
Therefore, the volume of Pill Bluetooth Speaker is 39.78 cubic inches.
To learn more about the volume visit:
https://brainly.com/question/13338592.
#SPJ1
"Your question is incomplete, probably the complete question/missing part is:"
Pill bluethooth Speaker consists two semisphere and cyclinder. The diameter of the cylinder and semisphere is 2 inches. the height of the cylinder is a foot. The According to the Statement please fill in the blanks. please answer the following in inch format and round it to nearest tenth.
a) Volume of the Bluetooth Speaker ______
What is the perimeter of Justin's garden in inches? I can't find the right answer 6 yards and 8 yards its a rectangle garden pls help me
Answer:
28 yards
Step-by-step explanation:
It's perimeter so you add (6x2)+(8x2)
The x2 is because there's 2 of each side
what is h over 7.5 = 3.2
Answer:
h = 24
Step-by-step explanation:
h ÷ 7.5 = 3.2
Multiply both sides by 7.5
h = 3.2 × 7.5
h = 24
Earn 100 points for this question and a brainiest
Answer:
the answer is C
Step-by-step explanation:
[tex] \frac{7}{7} - \frac{4}{7} + \frac{2}{7} [/tex]
Step-by-step explanation:
Step 1 :-
> 7/7 - 4/7
> 7-4/7
> 3/7
Step 2 :-
> 3/7 + 2/7
> 3 + 2/7
> 5/7
Option C is correct
Andrew buy 8 pound of apple for $12. 0. He want to know and ue the unit rate of the cot per pound. True or Fale: Two pound of apple cot more than $3. 50
It is false that the cost of two pounds of apple cast is more than $ 3.50.
Finding the cost of a given quantity:Here to find the cost of the given quantity we need to find the cost of 1 unit i.e 1 pound in the given problem so that we can find the cost of given quantities. It is called a unitary method.
Given that
Andrew buy 8 pounds of apples for $ 12.00
Let 'x' be the cost of 1 pound of apples
By the given data,
=> 8x = $ 12
=> x = 12/8
=> x = 1.5
The cost of 1 pound of apples = $ 1.5
Cost of 2 pounds apples = 2 × 1.5 = 3
Therefore,
It is false that the cost of two pounds of apple cast is more than $ 3.50.
Learn more about Finding cost problems at
https://brainly.com/question/29384637
#SPJ4
The weight of 4 eggs is 180g. Identify the constant of the proportionality of total weight to number of eggs.
Answer: 13.6 grams per egg.
Step-by-step explanation:
Twelve times one-half of a number is thirty
six. What is the number? a. 3 b. 6 C. 8 d. 18
The number will be "6".
Let,
The number be "x".According to the question, the equation will be:
[tex]12\times \frac{1}{2}x =36[/tex]By solving the above expression, we get
→ [tex]6\times x=36[/tex]
By applying cross-multiplication, we get
→ [tex]x = \frac{36}{6}[/tex]
→ [tex]= 6[/tex]
Thus the above response i.e., "option b" is correct.
Learn more:
https://brainly.com/question/13238838
22. What is the value of k such that x - 6 is a factor of
f(x) = 3x³ - 17x² - kx + 18? Justify your answer.
Answer:
k = 9
Step-by-step explanation:
According to the Factor theorem, if (x - a) is a factor of f(x) then f(a) = 0
given (x - 6) is a factor of f(x) then f(6) = 0 , that is
3(6)³ - 17(6)² - 6k + 18 = 0
3(216) - 17(36) - 6k + 18 = 0
648 - 612 - 6k + 18 = 0
36 - 6k + 18 = 0
54 - 6k = 0 ( subtract 54 from both sides )
- 6k = - 54 ( divide both sides by - 6 )
k = 9
Find the surface area and round to the nearest hundredths place when necessary.
Answer:
9.4 x 11 = 103.4
15 + 7 = 22, 22 x 5 = 110, 110 divided by 2 = 55
55 x 2 (since there are two trapezoids) = 110
5 x 11 = 55
7 x 11 = 77
15 x 11 = 165
Now we add all the areas up:
103.4 + 110 + 55 + 77 + 165 = 510.4 square feet2 is your answer.
Solve the inequality - 5(x+2) < -25
x < 3
x > -3
x > 3
Answer:
x > 3
Step-by-step explanation:
Evaluate the expression 2(b+4), when b=5
The evaluation of the expression 2(b + 4) when b = 4 is 18
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
Expression: 2(b + 4)
Values: b = 5
Substitute the known values in the above equation, so, we have the following representation
2(b + 4) = 2 * (5 + 4)
Evaluate the products
This gives
2(b + 4) = 10 + 8
Evaluate the like terms in the equation
So, we have the following representation
2(b + 4) = 18
Using the above as a guide, we have the following:
The solution is 18
Read more about equation at
brainly.com/question/2476251
#SPJ1
point K is the incenter of triangle PQR. what is m
Answer:
115 degrees
Step-by-step explanation:
The incenter is where the angle bisectors of a triangle meet. So [tex]m\angle{PQK}=15^\circ \text{ and } m\angle{PQR}=30^\circ[/tex].
To find the measure of angle RKQ, we need to find the measure of angle PRQ. In the big triangle, the sum of angle measures is 180 degrees, and we know two of the angles, 50 deg and 30 deg (for a total of 80 deg). That leave 100 degrees for the measure of angle PRQ.
But RK is an angle bisector, so [tex]m\angle{KRQ}=50^\circ[/tex].
We now know two of the angles in [tex]\triangle{KRQ}[/tex], 50 deg and 15 deg. Those total 65 degrees, so [tex]m\angle{RKQ}=180^\circ - 65^\circ=115^\circ[/tex]
Regan has Rs.10,000 in total. He lent a part of it to Sandip and the remaining to Saline. If Saline paid Rs.2160 more interest than Regan at the end of 3 years and at the rate of 18% simple interest rate. Find how much money did Regan give to Sandip and Saline. (Assume 365 days in a year)
The Rs. 10,000 Regan lent to Sandip and Saline and the Rs.2160 more interest Saline paid than Sandip after 3 years at an 18% simple interest rate, indicates by expressing the amounts using equations, that the amount Regan gives to Sandip and Saline is Rs. 3,000 and Rs. 7,000 respectively.
What is an equation?An equation is the presentation of a statement of the equivalence between quantities, or expressions, by joining the expressions with a '=' sign.
The amount Regan has = Rs. 10,000
Let x represent the amount Regan lent to Sandip, we get;
The amount Regan lent to Saline = 10,000 - x
The interest rate of the loan Regan lent to Sandip and Saline = 18% simple interest
The interest Saline paid to Regan after 3 years, using simple interest = Rs. 2160 + The interest Saline paid to Regan
The simple interest formula is; I = P·R·T/100
Where;
P = The principal amount loaned
R = The interest rate = 18%
T = The time or duration of the loan = 3 years
Therefore;
(10000- x) × 18/100 × 3 = 2160 + x × 18/100 × 3
5400 - 0.54·x = 2160 + 0.54·x
5400 - 2160 = 0.54·x + 0.54·x = 1.08·x
3240 = 1.08·x
x = 3240 ÷ 1.08 = 3000
The amount Regan lent to Sandip, x = Rs. 3000
The amount Regan lent to Saline = 10,000 - x
x = 3000
10,000 - x = 10,000 - 3000 = 7,000 (substitution property)
The amount Regan lent to Saline = Rs. 7,000
Learn more on the simple interest on an amount here: https://brainly.com/question/2273730
#SPJ1
Point P is the centroid of △ABC and BD⊥AC. Find the following:
1. Find PD.
2. Find AP.
3. Find FC.
4. Find AC.
5. Find the perimeter of △BDC
Therefore , the solution of the given triangle comes out to be AC = 10 units and PD = 6 units.
Triangle definitionTriangles, which have three sides and three angles, can be made by joining any three points in a plane. They are among the earliest geometric shapes to be studied. Triangles are especially important since they may be divided into each polygon, whether it has four, five, six, or n sides.
Here,
Let AD and DC are 2x and x respectively.
We have, BC = 10 units
=> 2x =10
=> x = 10/2
=> x= 5
Now ,
=> AP + PF = 8 + y
=> 8 + y = 12
=> y =4
Therefore , the solution of the given triangle comes out to be AC = 10 units and PD = 6 units.
To know more about triangle, visit
brainly.com/question/2773823
#SPJ1
Suppose we select a simple random sample of size n = 125 from a large population with a proportion p of successes. Let p be the proportion of successes in the sample. For which value of p is it appropriate to use the Normal approximation for the sampling distribution of p?
In order to use the Normal approximation for the sampling distribution of p
the sample should have at least 10 successes and at least 10 failures.
What is sampling distribution?The probability distribution of a statistic that is acquired by repeated sampling of a particular population is called the sampling distribution. It outlines a variety of potential possibilities for a statistic, such as the mean or mode of a population's mean or the mode of a variable.
What are statistics?The study of statistics focuses on gathering, organizing, organizing, analyzing, interpreting, and presenting data. It is customary to start with a statistical population or a statistical model to be researched when applying statistics to a scientific, industrial, or social problem.
For a sample of size n = 125,
The condition for the sample size to be large enough is that both np and n(1-p) should be greater than or equal to 10. This means that the sample should have at least 10 successes and at least 10 failures. If this condition is met, we can use the Normal approximation for the sampling distribution of p.
To know more about Sampling visit:
https://brainly.com/question/13287171
#SPJ4
What ordered pairs are the solutions of the system of equations shown in the graph below?
(__, __) and (__, __)
What is the best explanation of irrational numbers?
The best explanation of Irrational Numbers is that , the numbers that cannot be expressed as a ratio of integers are called as Irrational Numbers .
What are Irrational Numbers ?
The Irrational numbers are the real numbers that cannot be represented in the form of a ratio ([tex]\frac{p}{q}[/tex]) . In other words, the real numbers that are not rational numbers are called as irrational numbers.
For Example : [tex]\pi[/tex] is an irrational number as [tex]\pi =3.1415925...[/tex] The decimal value in the expansion never stops at any point.
Some Property of Irrational Numbers are :
(i) The Irrational numbers consist of only non-terminating and non-recurring decimals.
(ii) The Irrational Numbers are real numbers only.
(iii) The Addition, subtraction, multiplication, and division of any two irrational numbers may or may not be a rational number.
Learn more about Irrational Numbers here
https://brainly.com/question/4031928
#SPJ4
Can someone help me do this given and prove thing if u seen it and know how to
Which planes contain point W? Select all that apply.
Multiple select question.
cross out
A)
plane B
cross out
B)
plane VWY
cross out
C)
plane VWX
cross out
D)
plane m
cross out
E)
plane RYV
cross out
F)
plane VWZ
The planes that contain point W from the given image are;
Plane V
Plane VWY
Plane RYV
How to identify planes?A coordinate plane is a graphing and description system for points and lines. A vertical y-axis and a horizontal x-axis make up the coordinate plane.
From the attached image, we see that the planes whose name contains V also contains W.
The plane B contains the line XR and the Line YV as well as the W at the line YV.
Finally, the plane m also contains line YV and obviously the same as plane RYU.
Read more about Planes at; https://brainly.com/question/12227980
#SPJ1
Triangle GHI is dilated by a scale factor
of 4 to 7 to create triangle RST. If the
perimeter of triangle RST is 28 cm,
what is the perimeter of triangle GHI?
Answer:
It would be 49 cm
Step-by-step explanation:
Knowing the the perimeter of Tri RST is 28 cm and that it is a dilated by a 4:7 Scale Factor from Tri GHI:
(4/7)x = 28cm
(4/7)x (7/4) = 28cm (4/7)
x = 49cm
Hope that helps.
64y–24z. plz help
28 points
Answer:
Assuming 64y - 24z = 0, y= 3z/8 and z = 8y/3
Step-by-step explanation:
plugged it into a calculator.