Answer:
[tex]x=\frac{-5+-i\sqrt{23} }{4}[/tex]
Step-by-step explanation
The quadratic formula is [tex]x=-\frac{-b+-\sqrt{bx^{2 -4ac} } }{2a}[/tex]
Answer:
-5 ± sqrt(73))
----------------------------
4
Step-by-step explanation:
2x^2 +5x =6
Subtract 6 from each side
2x^2 +5x -6 =0
This is in the form
ax^2 +bx+c where a=2 b=5 and c=-6
The quadratic is -b ± sqrt(b^2 -4ac)
----------------------------
2a
-5 ± sqrt(5^2 -4(2)(-6))
----------------------------
2(2)
-5 ±sqrt(25 +48))
----------------------------
4
-5 ± sqrt(73))
----------------------------
4
Suppose you start an annuity where you invest $2,000 at the beginning of each year and 4% interest is paid at the end of the year. What is the value of the annuity at the end of 5 years, rounded to the nearest dollar? It is $
The value of the annuity at the end of 5 years, rounded to the nearest dollar is $10,833.
What is the value of the annuity at the end of 5 years?The formula that can be used to determine the future value of the annual annuity is:
Yearly deposity x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
r = interest rate n = number of years2000 x {[(1.04^5) - 1] / 0.04} = $10,832.65
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I NEED HELP ASAP!!! Suppose a study shows that 1 out of 287 computers are hacked. If a company has 8,564 computers, how many are not likely to be hacked? Round your answer to the nearest whole number
Answer: 30 computers.
Step-by-step explanation: Just divide the total amount of computer by the probability, which is 287. then you get 29.83, after that just round to the nearest whole number.
Answer:
8534
Step-by-step explanation:
8564/287=29.8 rounded is 30 so 8564-30=8534 if i am wrong sorry
factor the polynomial 8x-2
Answer:
[tex]2(4x-1)[/tex]
Step-by-step explanation:
you divide by 2 and simplify. idk how else to explain it....
Answer:
2(4x-1)
Step-by-step explanation:
Factor out a 2
What is the volume of a rectangular prism with a length of 2 inches, a width of an inch & is a quarter of an inch in height?
Answer:
= 1/2 inches ^3
Step-by-step explanation:
The volume of a prism
V = l*w*h
= 2 * 1 *1/4
= 1/2 inches ^3
Answer:
[tex] = \frac{1}{2} {in}^{3} [/tex]
Step-by-step explanation:
[tex]v = whl \\ = 1 \times \frac{1}{4} \times 2 \\ = \frac{2}{4} \\ = \frac{1}{2} {in}^{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
What is the equation of a line with a slope of 6 and y intercept of -2
Answer:
6x-y=2 is the equation
Step-by-step explanation:
The formula is y= mx+c where m= slope and c = y-intercept
so replacing their values,
y = 6x -2
y+2= 6x
6x-y = 2 is the required equation.
Answer:
y=6x-2
Step-by-step explanation:
Answer: to write an equation it has to be y=mx+b
The slope is 6, so you substitute the 6 in for the m. M is always the slope.
You also keep the x there.
The y intercept, also know as b, is -2 so you substitute that in for b.
Then you get the equation on the line.
y=6x-2!
Hope this helps. :)
Simplify 8^2/3 -√9×10^0+(1/144)^-1/2
Answer:
13
Step-by-step explanation:
We have the following expression:
[tex]8^{\frac{2}{3} } -\sqrt{9}*10^{0} + (\frac{1}{144}) ^{-\frac{1}{2} }[/tex]
If we do part by part, we have remains:
[tex]8^{\frac{2}{3} }[/tex] = 4
8 = 2^3
Therefore, the exponents 3 * 2/3 = 2 are multiplied
2^2 = 4
[tex]\sqrt{9}*10^{0}[/tex] = 3
We know that the root of 9 is equal to 3 and that every number raised to 0 is equal to 1, therefore 1 * 3 = 3
[tex](\frac{1}{144}) ^{-\frac{1}{2} }[/tex] = 12
When the exponent is negative, the fraction can be inverted and at the end there is 144 ^ 1/2, which would be the root of 144, which is equal to 12.
So, we have:
4 - 3 + 12 = 13
Which relation is a function? A. (1, 0), (3, 0), (1, 1), (3, 1) (1, 3) B. (1, 1), (2, 2), (3, 3), (4, 4), (5, 8) C. (2, 7), (6, 5), (4, 4), (3, 3), (2, 1) D. (9, −3), (9, 3), (4, −2), (4, 2), (0, 0)
Answer:
b is the answer
Step-by-step explanation:
i checked if inputs repeated in all the string of answers
Answer:
b
Step-by-step explanation:
plzzzzzzzzzzzzaaaaaaaa
Answer:
A
Step-by-step explanation:
[tex]y^2-11y=-28\\y^2-11y+28=0\\(y-7)(y-4)=0\\y=4, 7[/tex]
The correct answer choice is A. Hope this helps!
Please help me now plz I will mark you brainliest
Answer:
Neither
Step-by-step explanation:
It can be paralel because they both pass through -7 and it cant be perpendicular because the dont intersect at a 90 degree angle
Quadrilateral ABCD is inscribed in a circle
What is the measure of angle A?
Answer:
Quadrilateral ABCD is inscribed in a circle, then
A + C = 180
=> 2x + 9 + 3x + 1 = 180
=> 5x = 170
=> x = 34
=> A = 2 x 34 + 9 = 77 deg
Hope this helps!
:)
Answer:
77°
Step-by-step explanation:
ABCD is inscribed in a circle. Therefore it is a cyclic quadrilateral. Opposite angles of a cyclic quadrilateral are supplementary.
[tex]\therefore \angle A + \angle C = 180° \\ (2x + 9) \degree + (3x + 1) \degree =180° \\ (5x + 10) \degree =180° \\ 5x + 10 = 180 \\ 5x = 180 - 10 \\ 5x = 170 \\ x = \frac{170}{5} \\ x = 34 \\ \angle A = (2 \times 34 + 9) \degree \\ \huge \red{ \boxed{\angle A= 77 \degree}} \\ [/tex]
Describe two methods that can be used to find the area of the composite figure.
Answer: A composite figure is made up of several simple geometric figures such as triangles, rectangles, squares, circles, and semicircles. To find the area of a composite figure, separate the figure into simpler shapes whose area can be found. Then add the areas together.
Area of the composite figure can be find by using additive areas method and subtractive areas method
What is Composite figure?Composite geometric figures are made from two or more geometric figures. The composite figure below is made from parts of a rectangle and a circle
What is Area ?Area is the quantity that expresses the extent of a region on the plane or on a curved surface.
Area of the composite figure can be find by using two methods,
Additive areas method and Subtractive areas method
In Addictive areas method
Break the composite shape into basic shapesFind the area of the each basic shapesAdd all the areas of basic shapes togetherIn Subtractive areas method
Break the composite shape into basic shapes. That shape maybe larger than the composite shapes.Find the area of the each basic shapesArea of the composite shape will be the difference between the area of the larger shape.Hence, the area of the composite figure can be find by using additive areas method and subtractive areas method
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A bag contains 4 red, 2 blue, 6 green, and 8 white marbels. Round anwsers to the nearest tenth. What is the probibility of selecting a green marble, replacing it, and then selecting a red marble.
Answer:
[tex]\frac{3}{50}[/tex] chance.
Step-by-step explanation:
Probability of getting a green: [tex]\frac{6}{4+2+6+8}[/tex] = [tex]\frac{6}{20} = \frac{3}{10}[/tex]
Probability of getting red: [tex]\frac{4}{4+2+6+8} = \frac{4}{20} = \frac{1}{5}[/tex]
[tex]\frac{1}{5} * \frac{3}{10} = \frac{3}{50}[/tex]
There is a [tex]\frac{3}{50}[/tex] chance of getting a green then red marble with replacement.
A triangle has a side with length of 6 feet and another side with length of 8 feet. The angle between the sides measures 73°. Find the area of the triangle. Round your answers to the nearest tenth. Please show work.
a. 23.0 ft^2
b. 45.9 ft^2
c. 1752 ft^2
d. 7.0 ft^2
Answer:
Area = (1/2) * side 1 * side 2 * sine (73 degrees)
Area = (1/2) * 6 * 8 * .9563
Area = 22.9512 square feet
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Area = ½ a b sinC
= ½ × 6 × 8 × sin(73)
= 22.9513141431
To the nearest tenth: 23.0 ft²
What is the square root of 91
Answer:
9.53939201417
Step-by-step explanation:
sqrt(91)=
9.53939201417
Answer:
9.53939201
Step-by-step explanation:
This can simply be done in a calculator but what you are basically doing is thinking about the reverse of a exponent. For instance, √25 is 5 because 5² is 25. Hope this helps! If you are still confused please comment!
If a cylinder with height 9 inches and radius r is filled with water, it can fill a certain pitcher. How many of these pitchers can a cylinder with height 9 inches and radius 2r fill?
Answer:
Step-by-step explanation:
First, calculate the volume of the first cylinder
V= pi * r^2 * h
= pi * r^2 * 9 = 9 pi r^2
Volume of the second cylinder
V = pi * (2r)^2 * 9 = 36 pi r^2
the number of pitcher that can be filled is volume of second pitcher divided by volume of smaller 36 pi r^2 / 9 pi r^2 = 4
The number of cylinders that can be filled is given by the equation A = 4
What is a Cylinder?A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is
Volume of Cylinder = πr²h
Surface area of cylinder = 2πr ( r + h )
where r is the radius of the cylinder
h is the height of the cylinder
Given data ,
Let the volume of the first cylinder be V₁
The radius of cylinder 1 = r
The height of the cylinder 1 = 9 inches
Let the volume of the second cylinder be V₂
The radius of cylinder 1 = 2r
The height of the cylinder 1 = 9 inches
Now , the volume of cylinder 1 is V₁ = πr²h
Substituting the values in the equation , we get
V₁ = 9πr²
Now , the volume of cylinder 2 is V₂ = πr²h
Substituting the values in the equation , we get
V₂ = 9π ( 2r )²
V₂ = 36πr²
And , the number of cylinders that can be filled is A = V₂ / V₁
On simplifying the equation , we get
The number of cylinders that can be filled is A = 36πr²/9πr²
The number of cylinders that can be filled is A = 4 cylinders
Hence , the number of cylinders is 4
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Pleaaase help me out here im being timed!!
Really appreciate it if u did thank u.
PLEASE HELP ASAP 10 POINTS AND ITS MULTIPLE CHOICE
Which equation represents the line that is parallel to the following?
Y=-3x-4
A. Y=3x+4
B. Y=3x+1
C. Y=-1/3x-4/3
D. Y=1/3x-4
Answer:
A. Y=3x+4
Step-by-step explanation:
What is the equation
Answer:
76
Step-by-step explanation:
-4x + 104 = -200
-4x = -304
4x = 304
x=76
Given the function f(x)=7x-4 find f(3)
Answer:
17
Step-by-step explanation:
f(x)=7(3)-4 Distributive Property
f(x)=21-4 Subtract
f(x)=17
The value of f(3) is 17
what is function?Function, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences.
Given:
f(x)=7x-4
Now for x=3
f(3)= 7*3-4
=21-4
=17
Hence, the value of function is 17.
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Vijay's family needs a new microwave. There is one on sale that measures 20 inches by 14 inches by 11 inches. What is the volume of the microwave?
Answer:3080”
Step-by-step explanation:
Evaluate 9 − b 9−b9, minus, b when b = 8b=8b, equals, 8.
Answer:
the way you wrote the question is confusing. Please right it in better wording or with line breaks
Step-by-step explanation:
A pink crayon is made with 12\text{ mL}12 mL12, start text, space, m, L, end text of red wax for every 5\text{ mL}5 mL5, start text, space, m, L, end text of white wax
Answer:
Your answer would be:
#1: 36 mL of red wax mixed with 15 mL of white wax.
#2: 60 mL of red wax mixed with 25 mL of white wax.
HOPE THIS HELP
Answer:c and b
Step-by-step explanation:
helppppppppppppp please
Answer:
with?
Step-by-step explanation:
Given a school supply store sells pencils for $2, pens for $4, and markers for $5. Write an expression for the total cost of 3 pencils, 2 pens, and 3 markers
Answer: 29
Step-by-step explanation:
3x2= 6
4x2=8
3x5=15
6+8+15= 29
hoped I helped you a bit! Good luck! :)
There are 110 people at a meeting. They each shake hands with everyone else. How many handshakes were there?
A) Permutation
B) Combination
C) Circular permutation
Write nine minus the quotient of two and a number x as a expression variable
Answer:
9-(2/x)
Step-by-step explanation:
8+16÷4·3+5·4·25·2 =
solve the equation
Answer:
1020
Step-by-step explanation:
8+16÷4·3+5·4·25·2
PEMDAS
Multiply and divide from left to right
8+4·3+5·4·25·2
8+12+5·4·25·2
8+12+1000
Then add
1020
please help immediately very confused
Answer:
4.5
Step-by-step explanation:
162/360=0.45
0.45*10=4.5
Answer:
4.5units
Step-by-step explanation:
arc length's formula:2πr(∆/360)
remember, 2πr: circumference of a circle:
10units according to diagram.
∆=162°
using formula, 10(162°/360)
10*162/360 : 162/36
:4.5 units.
I will mark brainliest if you are correct!
When solving the equation, which is the best first step to begin to simplify the equation?
-2 (x + 3) = -10
A. (-2) (-2) (x + 3) = -10 (-2)
B. -1/2 (-2) (x + 3) = -10 (-1/2)
C. -2/2 (x + 3) = -10/2
-2/-10 (x + 3) = -10/-10
Answer:
i think the answer is C
Step-by-step explanation:
Answer:
Look below.
Step-by-step explanation:
Uh here's what I did:
-2x-6= -10
Add 6 to both sides.
-2x=-4
Divide both sides by -2
x=2
1. Si tengo el siguiente ejercicio x = 8+9*4+(32*2+5*4)+3*6 aplicando la jerarquía de operaciones, el resultado sería? a. 25 b. 45 c. 78 d. Ninguna de las anteriores
Answer:
Option D is correct.
The answer is none of the above.
x = 146
La opción D es correcta.
La respuesta es ninguna de las anteriores.
x = 146
Step-by-step explanation:
English Translation
If I have the following exercise x = 8 + 9 * 4 + (32 * 2 + 5 * 4) + 3 * 6 applying the hierarchy of operations, the result would be?
a. 25
b. 45
c. 78
d. None of the above
Solution
The hierarchy of operations includes BODMAS.
B - Brackets
O - Order
D - Division
M - Multiplication
A - Addition
S - Subtraction
x = 8 + 9 * 4 + (32 * 2 + 5 * 4) + 3 * 6
Solving the bracket first.
The multiplication in the bracket are first simplified to give
x = 8 + 9 * 4 + (64 + 20) + 3 * 6
Then further simplifying the bracket
x = 8 + 9 * 4 + (84) + 3 * 6
We then solve the multiplication outside the brackets
x = 8 + 36 + 84 + 18
We now sum all of this
x = 146
In Spanish/En Español
La jerarquía de operaciones incluye BODMAS.
B - Soportes
O - Orden
D - División
M - Multiplicación
A - Suma
S - Resta
x = 8 + 9 * 4 + (32 * 2 + 5 * 4) + 3 * 6
Resolver el soporte primero.
La multiplicación en el paréntesis se simplifica primero para dar
x = 8 + 9 * 4 + (64 + 20) + 3 * 6
Luego simplificando aún más el soporte
x = 8 + 9 * 4 + (84) + 3 * 6
Luego resolvemos la multiplicación fuera de los corchetes
x = 8 + 36 + 84 + 18
Ahora sumamos todo esto
x = 146
Hope this Helps!!!
¡¡¡Espero que esto ayude!!!
