Answer:
The simplified answer of the given equation is -57.
Step-by-step explanation:
For this problem, we are given values for our variables.
k = -1
n = -4
So, let's plug these numbers into our expression so we can easily solve it.
-(-1)² - (4(-1) - 6(-4)) + 9(-4)
Simplify your parentheses.
-(-1)² - (-4 + 24) - 36
-(-1)² - 20 - 36
Now, simplify your exponents.
-1 - 20 - 36
Combine -1 and -20.
-21 - 36
Now, subtract -21 from 36.
-57
Answer:
-18
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If x is 5, then 6x = _____.
Answer:
30
Step-by-step explanation:
if x is 5, then 6x=______.
sub in the value of x for 5
when a variable and coefficient as next to eachother that means to multiply
so 6*5= 30
Answer:
[tex]\large \boxed{\mathrm{30}}[/tex]
Step-by-step explanation:
[tex]x=5[/tex]
[tex]\sf{Substitute \ x \ as \ 5 \ for \ 6x.}[/tex]
[tex]6(5)[/tex]
[tex]6 \times 5 = 30[/tex]
Point A is located at (0, 4), and point C is located at (−3, 5). Find the x value for the point B that is located one-fourth the distance from point A to point C.
Answer:
x = (-2 , 4.5)
Step-by-step explanation
Hope it helps! later!
8. What is the solution to 4(1/2x+7)=12?
Answer:
x=-8
Step-by-step explanation:
4(1/2x+7)=12
Divide each side by 4
4/4(1/2x+7)=12/4
(1/2x+7)=3
Subtract 7 from each side
1/2x+7-7=3-7
1/2x = -4
Multiply each side by 2
1/2x*2 = -4*2
x = -8
Answer:
-8
Step-by-step explanation:
Divide both sides by 4 which will give you 1/2x+7=3
Then multipy both sides by 2 which will then give you x+14=16
Then move the constant = x=6-14
6-14 is -8 which will give you x=-8
One fifth of a number is subtracted from one fourth of the number,the result is 8 more than 10.Find the number
Answer:
4
Step-by-step explanation:
Let the number be x.
According to the question,
[tex]\dashrightarrow \sf { \dfrac{1}{4}x - \dfrac{1}{5}x= 8 + 10 } \\[/tex]
[tex]\dashrightarrow \sf { \dfrac{5x + 4x}{2}= 18 } \\[/tex]
[tex]\dashrightarrow \sf { \dfrac{9x}{2}= 18 } \\[/tex]
[tex]\dashrightarrow \sf { 9x = 18 \times 2 } \\[/tex]
[tex]\dashrightarrow \sf { 9x = 36 } \\[/tex]
[tex]\dashrightarrow \sf { x =\cancel{ \dfrac{36}{9} }} \\[/tex]
[tex]\dashrightarrow \underline{\boxed{\pmb { \frak {x = 4 }}}} \\[/tex]
The number is 4.
If r = 8 units and h = 5 units, what is the volume of the cylinder shown above? Use 3.14 for . A. 1,607.68 cubic units B. 653.12 cubic units C. 1,004.8 cubic units D. 452.16 cubic units
Answer:
C. 1,004.8 cubic unitsStep-by-step explanation:
[tex]V = ?\\r = 8\\h =5 \\\pi = 3.14\\\\V = \pi r^2 h\\\\V = 3.14 \times 8^2 \times 5\\V = 1004.8 cubic units[/tex]
Answer:
C. 1004.8 cubic units
Step-by-step explanation:
Lets analyze the problem given, we have to find the volume of cylinder and use 3.14 as pi.
We can use the formula V=(3.14)r^2h to find the volume of the cylinder.
Below is the work to solve the formula:
8^2= 64
64(5)=320
320(3.14)=
1004.8 cubic units is our answer.
if a+1/a=3
What is the answer? a⁵+1/a⁵
Answer:
123
Step-by-step explanation:
We can square and cube the equation, then multiply the results together.
(a + [tex]\frac{1}{a}[/tex]) = 3 ← square both sides
a² + 2 + [tex]\frac{1}{a^2}[/tex] = 9 ( subtract 2 from both sides )
a² + [tex]\frac{1}{a^2}[/tex] = 7 → (1)
-----------------------
Now cube both sides
a³ + [tex]\frac{1}{a^3}[/tex] + 3(a + [tex]\frac{1}{a}[/tex]) = 27
a³ + [tex]\frac{1}{a^3}[/tex] + 3(3) = 27
a³ + [tex]\frac{1}{a^3}[/tex] + 9 = 27 ( subtract 9 from both sides )
a³ + [tex]\frac{1}{a^3}[/tex] = 18 → (2)
------------------------------
Multiply (1) and (2)
(a² + [tex]\frac{1}{a^2}[/tex] )(a³ + [tex]\frac{1}{a^3}[/tex] ) = 7(18)
[tex]a^{5}[/tex] + ( [tex]\frac{1}{a}[/tex] + a) + [tex]\frac{1}{a^5}[/tex] = 126
[tex]a^{5}[/tex] + 3 + [tex]\frac{1}{a^5}[/tex] = 126 ( subtract 3 from both sides )
[tex]a^{5}[/tex] + [tex]\frac{1}{a^5}[/tex] = 123
Given the sequence 4, 8, 16, 32, 64, ..., find the explicit formula. A. an=10(2n−1) B. an=5(2n−1) C. an=4(2n−1) D. an=20(2n−1)
Answer:
. an=4(2n−1)
Step-by-step explanation:
How many times does 5 go into 1,200??
240 times.
Explanation:
24 times because,
If you divide 5 with 12k that's,
= 1200/5
= 240
Hence proved, 240 times.
When simplified completely, the product of a monomial and a binomial is
a trinomial.
Answer:
the answer is ; Never
Hope this answer correct :)
Answer:
the answer is never
Step-by-step explanation:
Please answer quick Find the standard form of the equation of the parabola with a focus at (-2, 0) and a directrix at x = 2. (5 points) y^2 = 4x 8y = x^2 x = 1 divided by 8 y^2 y = 1 divided by 8 x^2
Answer:
Step-by-step explanation:
If you plot the focus and the directrix on a coordinate plane, because the parabola wraps itself around the focus away from the directrix, we know that this parabola opens to the left. That means its general form is
[tex]4p(x-h)=-(y-k)^2[/tex] where h and k are the coordinates of the vertex and p is the distance between the vertex and either the focus or the directrix because both distances are the same. Knowing that both distances are the same, it logically follows that the vertex is directly in between the focus and the directrix. So the vertex is at the origin, (0, 0). p is 2 because the vertex is at an x value of 0 and the directrix is at the x value of 2, and because the focus is at an x value of -2. Filling in the equation, then:
[tex]4(2)(x-0)=-(y-0)^2[/tex] which simplifies to
[tex]8x=-y^2[/tex] and, solving for x:
[tex]x=-\frac{1}{8}y^2[/tex]
A line passes through (4,-5) and had a slope of 5/2. Write an equation in point-slope form for this line
Answer:
y+5 = 5/2( x -4)
Step-by-step explanation:
Point slope form of a line is
( y-y1) = m(x-x1) where m is the slope and ( x1 ,y1) is a point on the line
y --5 = 5/2( x -4)
y+5 = 5/2( x -4)
Answer:
y + 5 = 5/2(x - 4)
Step-by-step explanation:
Use the point slope equation: y - y1 = m(x - x1), where (x1, y1) is a known point and m is the slope.
Plug in the values:
y + 5 = 5/2(x - 4)
So, the equation is y + 5 = 5/2(x - 4)
Trigonometry help needed
help would be appreciated
Answer:
Step-by-step explanation:
Question 5
Part A
if Sin(x) = - 3/5 and tan(x) < 0
you are told 3 things
cos(x) must be plus because there are 4 quads. Everybody is plus in quad 1. Sin and tan are <0 so you must be in quad 4 where cos(x) => 0From sin^2(x) + cos^2(x) = 1, we get that cos(x) = 4/5Tan(x) = sin(x) / cos(x)tan(x) = Sin(x)/cos(x)
tan(x) = -3/5 // 4/5
Tan(x) = -3/4
Part B
cos(2x) = cos^2(x) - sin^2(x)
cos(2x) = (4/5)^2 - (-3/5)^2
cos(2x) = 16/25 - 9/25
cos(2x) = 7/25
Part B
x + y = 90
sin(x +y) = 1
Sin(x - y) =
Sorry can't do this part. I don't know what this is equal to.
-5/6 + 1 2/9
Can some one help me out?
Answer:
[tex]2 \frac{4}{9} [/tex]
[tex] = \frac{ - 5}{6} + 1 \frac{2}{9} [/tex]
[tex] = \frac{ - 5}{6} + \frac{11}{9} [/tex]
[tex] = \frac{ - 5 \times 2 + 11 \times 1}{9} [/tex]
[tex] = \frac{ - 10 + 9}{9} [/tex]
[tex] = \frac{-1}{9} [/tex]
What is the value of x, when -25(x - 4) = -55(x - 10)? A) x = 5 B) x = -5 C) x = 8 1/ 8 D) x = 15
[tex]-25(x - 4) = -55(x - 10)\\-25x+100=-55x+550\\30x=450\\x=\dfrac{450}{30}=15[/tex]
Answer:
x=15
Step-by-step explanation:
sinθ/(1-〖cos〗^2 θ)=cosecθ
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x
cosec x = [tex]\frac{1}{sinx}[/tex]
Consider the left side
[tex]\frac{sin0}{1-cos^20}[/tex]
= [tex]\frac{sin0}{sin^20}[/tex] ← cancel sinΘ on numerator/denominator
= [tex]\frac{1}{sin0}[/tex]
= cosecΘ = right side
In an atom, electrons have a negative charge and protons have a positive charge. One negative and
one positive cancel each other, just like zero pairs. An atom has 354 electrons and 139 protons.
What is the amount and type of charge?
Answer:
The charge is negative and the amount is 215
Step-by-step explanation:
Electrons are negative
-354
Protons are positive
+139
-354+139
-215
So
Electrons=-354Protons=+139Net charge
354-139-215Negative charge and the amount is 215
Coordinate plane with two lines graphed. The equations of the lines are y equals negative two-thirds x plus four and the other line is y equals two-thirds x. Determine the number of solutions the system of linear equations has and the solution(s) to the equations represented by these two lines? The system of equations has 0 solutions, because the graph has no point of intersection. The system of equations has infinite number of solutions and all real numbers satisfy both equations. The system of equations has 1 solution and it is (3, 2). The system of equations has 1 solution and it is (3, 0).
Answer:
Step-by-step explanation:
y = -2/3x + 4
y = 2/3x
2/3x = -2/3x + 4
4/3x = 4
4x = 12
x = 3
y = 2/3(3)
y = 2
(3,2) one solution
option 3
What is the length of CD
Answer:
Step-by-step explanation:
3(x-2)
Answer:
CD = 7
Step-by-step explanation:
CD and GI are of same lenghth so
3x - 6 = x + 8
transpose
3x - x = 8+6
2x = 14
x = 14/2
x = 7
the sum of 48 and itself its half and half of the hal is added to 18
Answer:
150
Step-by-step explanation:
We are carrying out Addition
a) The sum of 48 and itself
= 48 + 48 = 96
b) Its half and half of the half
96 + (1/2 × 48) + (1/2 ×( 1/2 × 48)
= 96 + 24 +(1/2 × 24)
= 96 + 24 + 12
= 132
c) is added to 18
= 132 + 18
= 150
Therefore, the sum of 48 and itself, its half and half of the half is added to 18 is 150
The sum of 48 and itself its half and half of the half is added to 18 is 150.
Given, we have a number 48.
We have to find the sum of 48 and itself its half and half of the half is added to 18.
So, the half of the 48 is 24 and half of the half becomes 12.
Now the equation becomes,
[tex]48+48+24+12+18=150[/tex]
Hence the required sum is 150.
For more details follow the link:
https://brainly.com/question/2263981
Convert the mixed number to an improper fraction 1 13/15
━━━━━━━☆☆━━━━━━━
▹ Answer
28/15
▹ Step-by-Step Explanation
[tex]1\frac{13}{15} \\\\1 * 15 = 15\\15 + 13 = 28\\\\\\= \frac{28}{15}[/tex]
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
answer
answer
answer
answer
Please..
Answer:
It's true. We can write integers in fraction by giving it a denominator of 1.
Answer:
true
Step-by-step explanation:
A pair of dice is rolled. What is the probability that the sum of the two dice will be greater than 8 given that the first die rolled is a 5?
Answer:
1/2
Step-by-step explanation:
First die rolled 5
Second die can roll 1, 2, 3, 4, 5, 6
Only if the second die rolls 4, 5, 6 will the sum be greater than 8.
p(sum > 8) = 3/6 = 1/2
Answer: 1/2
Step-by-step explanation:
First die rolled 5
Second die can roll 1, 2, 3, 4, 5, 6
Only if the second die rolls 4, 5, 6 will the sum be greater than 8.
p(sum > 8) = 3/6 = 1/2
solve for g 2-4g=14
Answer: g=-3
Step-by-step explanation: 2-4g=14
-2 -2
-4g=12
-4g/-4=g 12/-4=-3
Answer:
g = -3
Step-by-step explanation:
2-4g=14
Subtract 2 from each side
2-2-4g=14-2
-4g = 12
Divide each side by -4
-4g/-4 = 12/-4
g = -3
1.Origin
2.Y-Axis
3.Run
4.Solution of a Line
5.Ordered Pairs.
6.Quandrant
7.Solution of a Linear equation
8.slope
9.Slope- intercept form
10.Rise
11.Y intercept
12.parallel Lines
13.X intercept
14.x axis
15.Linear equation
16.Perpendicular Lines
17.Point slope Form
18.Coordinate plane
1.Plane with two axes as a frame of reference.
2.The vertical number line in a coordinate plane
3.The horizontal number line in a coordinate plane
4.A pair of numbers that are used to correspond to a point on a graph where the first number is the x-coordinate and the second number is the y-coordinate.
5.where the x and y axis meet. The point (0,0).
6. One of the four regions into which the x and y axis separate the coordinate plane.
7. An equation with two variables that makes up a straight line on a coordinate plane.
8.The vertical change in a line from one point (x1,y1) to a second point (x2,y2).
9. The horizontal change in a line from one point (x1,y1) to a second point (x2,y2).
10.The ratios of a Lines rise over its run.
11.y-y1=m(x-x1)
12.Any of the ordered pairs that make an equation true.
13. Any of the points that are on the line of an equation.
14. The point where a graph crosses the x axis.
15. The point where a graph crosses the y axis
16.A Linear equation in the form y=mx+b, where m is the slope and b is the y-intercept
17. Lines that have the same slope and never intersect.
18.Two Lines that intersect at 90°angle.Slopes of these lines are opposite reciprocals.
Step-by-step explanation:
Origin is 5.
Y Axis is 2
Run is 9
Solution of a Line is 13.
Ordered Pairs is 4.
Quadrant is 6.
Solution of Linear Equation is 12.
Slope is 10.
Slope Intercept Form is 16.
Rise is 8.
Y intercept is 15.
Parallel Lines is 17.
X intercept is 14.
X axis is 3.
Linear Equation is 7.
Perpendicular Lines is 18.
Point Slope Form is 11.
Coordinate plane is 1.
What are the solutions to the equation (2x – 5)(3x – 1) = 0? x = or x = 3 x = x = 5 or x = 1
Answer:
x = 5/2 x=1/3
Step-by-step explanation:
(2x – 5)(3x – 1) = 0
Using the zero product property
2x-5 =0 3x-1 =0
2x=5 3x =1
x = 5/2 x=1/3
Answer:
C on edg 2021
Step-by-step explanation:
can u help me with this problem
Answer:
$4.20
Step-by-step explanation:
y = .05x (using stat on calculator)
y = .05(84)
$4.20
find the domain
PLEASE AND THANK YOUUUU
Answer:
The domain is all real numbers except x=0
Step-by-step explanation:
The domain is the values that x can take
x can be all real number except when the denominator is zero
x cannot be 0
The domain is all real numbers except x=0
Shawna, Dexter, and Tilana are solving the equation Negative 2.5 (5 minus n) + 2 = 15. Shawna says, "I can begin by dividing each side of the equation by –2.5 to get 5 minus n minus StartFraction 2 over 2.5 EndFraction = Negative StartFraction 15 over 2.5 EndFraction." Dexter says, "I can begin by distributing Negative 2.5 to get Negative 12.5 + 2.5 n + 2 = 15." Tilana says, "I can begin by multiplying each side of the equation by Negative StartFraction 1 over 2.5 EndFraction to get 5 minus n minus 0.8 = negative 6." Which students are correct? only Shawna and Tilana only Shawna and Dexter only Dexter and Tilana Shawna, Dexter, and Tilana
Answer:
All three students are correct
Step-by-step explanation:
Given
Equation: -2.5(5 - n) + 2 = 15
Required
Which students are correct
To determine which of the students are correct; we have to test each of their solutions
SHAWNA
Statement: Dividing each side of the equation by –2.5 to get 5 - n - 2/2.5 = -15/2.5
[tex]\frac{-2.5(5 - n) + 2}{-2.5} = \frac{15}{-2.5}[/tex]
Split fractions
[tex]\frac{-2.5(5 - n)}{-2.5} + \frac{2}{-2.5} = \frac{15}{-2.5}[/tex]
Simplify each fraction
[tex]5-n - \frac{2}{2.5} = \frac{-15}{2.5}[/tex]
Shawna is correct...
DEXTER
Statement: Distributing -2.5 to get -12.5 + 2.5 n + 2 = 15.
[tex]-2.5(5 - n) + 2 = 15[/tex]
Open brackets
[tex]-12.5 + 2.5n + 2 = 15[/tex]
Dexter is also correct...
TILANA
[tex]\frac{-1}{2.5}(-2.5(5 - n) + 2) = \frac{-1}{2.5} * 15[/tex]
Open brackets
[tex]\frac{-1}{2.5}(-2.5(5 - n)) + \frac{-1}{2.5}(2) = \frac{-1}{2.5} * 15[/tex]
Simplify each bracket
[tex](5 - n) + \frac{-2}{2.5} = \frac{-15}{2.5}[/tex]
[tex](5 - n) - \frac{2}{2.5} = \frac{-15}{2.5}[/tex]
[tex]5 - n - 0.8 = -6[/tex]
Tilana is also correct
Hence, all three students are correct
Answer:
All of them are correct
Step-by-step explanation:
plz help me to slove this
Answer:
50
Step-by-step explanation:
= 3^3 + (2 x 2 x 3) + 2^2 + ( 3 + 2)^5
= 3^3 + (12) + 2^2 + (3 + 2)^5
= 3^3 + 12 + 2^2 + (5)^5
= 9 + 12 + 2^2 + 5^5
= 9 + 12 + 4 + 5^5
= 9 + 12 + 4 + 25
= 50
Evaluate without actual multiplication 1) 95x96 2)103x107
Answer:
:
"(100 + 3) (100 + 7)
Now, by using identity
(x + a) (x + b) = x² + (a+b)*x + ab
So,
x = 100 , a = 3 , b = 7
= (100)² + (3+7)*100 + (3*7)
= 10000 + 1000 + 21
= 11021
.
(110 - 7) (110 - 3)
by using identity
(x + a) (x + b) = x² + (a+b)*x + ab
So,
x = 100 , a = (-7) , b = (-3)
= (110)² + { (-7) + (-3) }*110 + {(-7)*(-3)}
= 12100 + (-10)*110 + 21
= 21200 - 1100 + 21
= 11021
.
➖➖➖➖➖➖➖➖➖➖
.
(90 + 5) (90 + 6)
by using identity
(x + a) (x + b) = x² + (a+b)*x + ab
So,
x = 90 , a = 5 , b = 6
= (90)² + (5+6)*90 + (5*6)
= 8100 + 990 + 30
= 9120
.
(100 - 5) (100 - 4)
by using identity
(x + a) (x + b) = x² + (a+b)*x + ab
So,
x = 100 , a = (-5) , b = (-4)
= (100)² + { (-5) + (-4) }*100 + 20
= 10000 + (-9)*100 + 20
= 10000 - 9000 + 20
= 10020 - 900
= 9120
.
➖➖➖➖➖➖➖➖➖➖
.
(100 + 4) (100 - 4)
by using identity
(x + a) (x + b) = x² + (a+b)*x + ab
So,
x = 100 , a = 4 , b = (-4)
= (100)² + { 4 + (-4) }*100 + 4*(-4)
= 10000 + (4 - 4)*100 - 16
= 10000 + 0*100 - 16
= 10000 - 16
= 9984
.
(90 + 14) (90 + 6)
by using identity
(x + a) (x + b) = x² + (a+b)*x + ab
So,
x = 90 , a = 14 , b = 6
= (90)² + (14 + 6)*90 + (14*6)
= 8100 + 20*90 + 84
= 8100 + 1800 + 84
= 9984"
This answer was in another question
This answer was given by BloomingBud
Step-by-step explanation:
Answer:
1) 9120 2) 11021
Step-by-step explanation:
95 * 96 = (100-5)(100-4) = 10000 - 500 - 400 + 20 = 9120
103 * 107 = (100+3)(100+7) = 10000 + 300 + 700 + 21 = 11021