Answer:
26
Step-by-step explanation:
-13+13=0
0+13=13
13+13=26
Divide 2x^4+5x^3+11x^2+8x by x^2+x
The variables y and x have a proportional relationship, and y = 7 when x = 2 What is the value of x when y = 212 Enter your answer in the box x = 1
Answer:
proportional relational ship
y= kx
7 = k2
solve for k
7/2 =k
y = 7/2 x
if y = 21
21 =7/2 x
solve for x
multiply by 2/7 on each side
21* 2/7 = 2/7*7/2 x
6 =x
find the zeros of the function: to the nearest hundredth
Answer:
The zeros of the function:
[tex]x=5.53 ,[/tex] [tex]x=3.22[/tex]
Step-by-step explanation:
Given the function
[tex]f\left(x\right)=2x^2-17.5x+35.6[/tex]
To find zeros, put f(x)=0
[tex]0=2x^2-17.5x+35.6[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}10[/tex]
[tex]0\cdot \:10=2x^2\cdot \:10-17.5x\cdot \:10+35.6\cdot \:10[/tex]
[tex]0=20x^2-175x+356[/tex]
switch sides
[tex]20x^2-175x+356=0[/tex]
subtract 356 from both sides
[tex]20x^2-175x+356-356=0-356[/tex]
[tex]20x^2-175x=-356[/tex]
divide both sides by 20
[tex]\frac{20x^2-175x}{20}=\frac{-356}{20}[/tex]
[tex]x^2-\frac{35x}{4}=-\frac{89}{5}[/tex]
[tex]\mathrm{Add\:}a^2=\left(-\frac{35}{8}\right)^2\mathrm{\:to\:both\:sides}[/tex]
[tex]x^2-\frac{35x}{4}+\left(-\frac{35}{8}\right)^2=-\frac{89}{5}+\left(-\frac{35}{8}\right)^2[/tex]
applying perfect square
[tex]\left(x-\frac{35}{8}\right)^2=\frac{429}{320}[/tex]
[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]
solving
[tex]x-\frac{35}{8}=\sqrt{\frac{429}{320}}[/tex]
[tex]x=\frac{\sqrt{2145}}{40}+\frac{35}{8}[/tex]
[tex]x=5.53[/tex]
also solving
[tex]x-\frac{35}{8}=-\sqrt{\frac{429}{320}}[/tex]
[tex]x=-\frac{\sqrt{2145}}{40}+\frac{35}{8}[/tex]
[tex]x=3.22[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]
[tex]x=5.53 ,[/tex] [tex]x=3.22[/tex]
Therefore, the zeros of the function:
[tex]x=5.53 ,[/tex] [tex]x=3.22[/tex]
a) Let X be a random variable that can assume only positive integer values, and assume its probability function is P(X -n) A/3^n for some constant A (n> 1). Find A.
b) Let X be a continuous random variable that can assume values between 0 and 3, and assume its density function is fx(x)- B(x2 +1) with some constant B (0< x ,3). Find B.
Answer:
a) The value of A = 2
b) The value of [tex]B = \dfrac{1}{12}[/tex]
Step-by-step explanation:
a)
Given that:
X should be the random variable that assumes only positive integer values.
The probability function; [tex]P[X = n] = \dfrac{A}{3^n}[/tex] for some constant A and n ≥ 1.
Then, let [tex]\sum \limits ^{\infty}_{n =1} P[X =n] = 1[/tex]
This implies that:
[tex]A \sum \limits ^{\infty}_{n =1} \dfrac{1}{3^n}= 1[/tex]
[tex]A \times \dfrac{\dfrac{1}{3}}{1 - \dfrac{1}{3}} = 1[/tex]
[tex]A \times \dfrac{\dfrac{1}{3}}{\dfrac{2}{3}} = 1[/tex]
[tex]A \times \dfrac{1}{2}=1[/tex]
A = 2
Thus, the value of A = 2
b)
Suppose X represents a e constant A (n> 1). Find A.
b) Let X be a continuous random variable that can assume values between 0 and 3
Then, the density function of x is:
[tex]f_x(x) = \left \{ {{B(x^2+1)} \ \ \ 0 \le x \le 3 \ \ \ \atop {0} \ \ \ otherwise} \right.[/tex]
where; B is constant.
Then, using the property of the probability density function:
[tex]\int ^3_0 \ B (x^2+1 ) \ dx = 1\\[/tex]
Taking the integral, we have:
[tex]B \Big [\dfrac{x^3}{3} +x \Big ]^3_0 = 1[/tex]
[tex]B \Big [\dfrac{3^3}{3} +3 \Big ]= 1[/tex]
[tex]B \Big [\dfrac{27}{3} +3 \Big ] = 1[/tex]
B [ 9 +3 ] = 1
B [ 12 ] = 1
Divide both sides by 12
[tex]B = \dfrac{1}{12}[/tex]
Help please due soon
Answer:
1. H=6
2. Y= -1
3. T= 2
4. D= 2.1
5. K= 0
6. -13 1/3
Step-by-step explanation:
Figure out the probability below (ONLY REAL ANSWERS PLEASE)
Answer:
2/35
Step-by-step explanation:
fifteen total, 4 live in Gaston
so
4/15 times 3/14
because there is only 14 left to be selected and 3 left in Gaston
so 0.05714285714
or 2/35
What is the value of f(x)=5-1/2 when x =4
Answer:
9/2
Step-by-step explanation:
f(x)=5-1/2
plug in 4
f=9/2
9/2
Manuel saved $375 in 6 months. At this rate, how much will he save in 2 years?
Diet cola was on sale last week; it cost $10 for every 4 liters of diet cola. How many liters do you get per dollar?
Answer:
you get 0.4 litres for every dollar
PLEASE HELP ASAP! BRISNLIEST! Write the equation of each graph.
Answer:
-x^2-2x+3
1/2x^2-2x-1
Step-by-step explanation:
What system of equations is shown on the graph below?
On a coordinate plane, 2 lines intersect around (1.8, negative 0.8).
2 x + y = 3 and 3 x minus 4 y = 8
2 x minus y = 3 and 3 x + 4 y = 8
2 x + y = 3 and 3 x minus 4 y = 2
2 x minus y = 3 and 3 x minus 4 y = negative 2
Answer:
i thnk it is c correct me if i am rong
Step-by-step explanation:
Answer:
(C) I got it right
Step-by-step explanation:
on edge
1500 as a mixed number, please help QUICK
Answer:
divid 1500 to 50
Step-by-step explanation:
Answer: 1500 0/0
Step-by-step explanation:
pleasee helppp insert two arithnetic means between -5 and 1
Answer:
a₂ = -3
a₃ = -1
Step-by-step explanation:
We have to insert two arithmetic means between -5 and 1
Let a₁ and b₂ be the two arithmetic means between -5 and 1
-5, a₂, a₃, 1
Here,
a₄ = 1a₁ = -5We know that the nth term of an Arithmetic sequence
aₙ = a₁ + (n-1)d
a₄ = -5 + (4-1)d
1 = -5 + 3d
1 + 5 = 3d
3d = 6
Dividing both sides by 2
d = 2
Also
a₂ = a₁ + (2-1)d
a₂ = -5 + d
a₂ = -5 + 2 ∵ d = 2
a₂ = -3
a₃ = a₁ + (3-1)d
a₃ = -5 + 2d
a₃ = -5 + 2(2) ∵ d = 2
a₃ = -5 + 4
a₃ = -1
Thus,
a₂ = -3
a₃ = -1
Thus, the sequence becomes:
-5, -3, -3, 1
Choose a system of equations with the same solution as the following system:
4x − y = −11
2x + 3y = 5
A. 12x − 3y = −33
10x − 6y = −38
B. −4x − 9y = −21
−2x − 7y = −27
C. 4x + 3y = 5
10x + 5y = −1
D. 2x − 4y = −16
4x − 4y = 44
please help 100points!!!!
And i will make brainlest
only if the answer is right and there is a good explanation....
Answer:
Hope it can help you and Mark me as a brainlist....
I = prt Time = 3 years Interest Rate = 5% Principal = $7,430 Use the information to answer the question. How much interest is paid? $111.45 $1,114.50 $11,145 $111,450
Answer:I = prt
p = 7430
r = 5%....turn to decimal = 0.05
t = 3
I = (7430)(0.05)(3)
I = 1114.50 <===
Step-by-step explanation:
Answer:
I = prt
p = 7430
r = 5%....turn to decimal = 0.05
t = 3
I = (7430)(0.05)(3)
I = 1114.50 <===
Step-by-step explanation:
Which equation represents a function that is nonlinear?
y=5x y=37 y=x2-25 y=2/3x+67
Answer:
I dont get itt
Step-by-step explanation:
A rectangular area of land is being sold off in smaller pieces. The total area of the land is 2^15 square miles. The pieces being sold are 8^3 square miles in size. How many smaller pieces of land can be sold at the stated size? Compute the actual number of pieces.
HELLPP PLS !!!
The number of smaller pieces of land that can be sold at the stated size is 2^6
How many smaller pieces of land can be sold at the stated size?The given parameters are:
Total area = 2^15 square miles
Smaller piece = 8^3 square miles
The number of smaller pieces of land that can be sold at the stated size is
Number = Total area/Smaller piece
So, we have:
Number = 2^15/8^3
Rewrite as
Number = 2^15/2^9
Apply the law of indices
Number = 2^6
Hence, the number of smaller pieces of land that can be sold at the stated size is 2^6
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It is 2.1 km from Jessica's house to the nearest mailbox. How far is it in meters?
Be sure to include the correct unit in your answer.
Answer:
2100 meters
Step-by-step explanation:
REMEMBER: 1 km = 1000 m
2.1 km x 1000= 2100 meters
hope this helps ;)
Mark had an essay due on Friday. He worked on the essay for 1.5 hours on Thursday and 4.25 hours on Fridays. How many hours did he work on the essay Thursday and Friday combined?
Answer:
He worked for 5.75 hours
Step-by-step explanation:
How far would the plane fly in t hours at this speed
Answer: 610 MPH
Step-by-step explanation:
915 divided by 1.5=610 MPH
610 divided by 2=305 MP Half n Hour
610+305=915
Use slopes to determine if the lines -7x + 3y = 2 and -3x + 7y = 1 are perpendicular
The slopes of the given lines -7x + 3y = 2 and -3x + 7y = 1 are not perpendicular to each other .
The slope of a line is the ratio of how much y increases when x increases by a certain amount. Slope indicates the slope of the line, i.e. how much y increases as x increases. The slope is constant (the same) everywhere along the straight line. The slope intercept of the straight line is used to find the equation of the straight line. The slope intercept formula requires knowing the slope of the line and the intersection of the line with the y-axis. Consider a straight line with slope 'm' and y-intercept 'c'. The slope-intercept shape formula for a straight line with slopes 'm' and 'c' as y-intercept is given as y = mx + c.
We have given two equation of lines -7x + 3y = 2 ....(1) and -3x + 7y = 1 ....(2) 3y = 7x +2
y = 7x/3 +2
On comparing with slope intercept form y = mx + c , we get slope of equation (1) m₁ = 7/3
7y = 3x +1
y = 3x /7 +1
On comparing with slope intercept form y = mx + c , we get slope of equation (2) m₂ = 3/7
If the lines are perpendicular to each other , then their product of slope will be equal to -1 which is given by
m₁ × m₂ = -1
7/3 × 3/7 = -1
1 ≠ -1
Hence the given lines are not perpendicular to each other.
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Which digit is in the thousandth place? 134.927
Answer:
.007 is in the thousandths place.
Step-by-step explanation:
In decimals it goes tenths, houndredths, thousandths, and so on.
which statement is true about the points p and p
Answer:
They are equal
Step-by-step explanation:
What is the value of 9 by the power of 2+ 3 by the power of 3 - 30 divided by 6?
HELP MEH PLS!!! I will give Brainlyest to whoever answers first and correctly. Also tell me if I’m wrong dose this ^ symbol mean division?!?!
I do not know how to do this but i can tell you ^ means exponent not division. So 3^2 would be the same as [tex]3^{2}[/tex]
A line segment has endpoints E(–2, 8) and F(10, –6). What is the midpoint? ( , )
The midpoint of the line segment with the endpoints is (4, 1)
How to determine the midpoint of the line segment with the endpoints?The endpoints are given as:
E= (-2,8) and F = (10, -6)
The midpoint of the line segment with the endpoints is calculated as
Midpoint = 0.5 * (x1 + x2, y1 + y2)
So, we have:
Midpoint = 0.5 * (-2 + 10, 8- 6)
Evaluate the sum
So, we have:
Midpoint = 0.5 * (8, 2)
Evaluate the products
So, we have:
Midpoint = (4, 1)
Hence, the midpoint of the line segment with the endpoints is (4, 1)
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Please help! Use the number line to compare the numb Drag and drop the numbers to place them in increasing order. -1.7, 1.9, -0.8, 0.9
Need help finding the measures
Kim drew a map of the Mississippi River. The scale was 5 centimeters represents 120 miles. The actual length of the Mississippi River is 2,320 miles. Approximately what is the length in centimeters of the Mississippi River on the map?
Considering the definition of scale, the length of the Mississippi River on the map is 96.667 cm.
Definition of scaleThe scale of a cartographic representation, or map scale, is the relationship of similarity between the real dimensions of the geographical space represented and those of its image on the map.
Scale is the relationship between a real object (for example, the surface of the Earth or a portion of it) and the representation that is made of it.
The scale is represented as a fraction as follows: measured on the map/measured in reality
Length of the Mississippi River on the mapIn this case, you know that:
The scale was 5 centimeters represents 120 miles. The actual length of the Mississippi River is 2,320 miles.Considering the definition of scale, you can calculate the length of the Mississippi River on the map as follow:
5 cm/ 120 miles= measured on the map/2320 miles
(5 cm/ 120 miles)× 2320 miles= measured on the map
96.667 cm= measured on the map
Finally, the length of the Mississippi River on the map is 96.667 cm.
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A jar contains only one blue tile, one green tile, one red tile, and one yellow tile. If a tile is chosen at random and then replaced in the jar, and then a second tile is chosen at random, how many of the possible outcomes contain at least one red tile? 1 2 4 7
Answer:
7
Step-by-step explanation:
Bluegreen
Bluered
Blueyellow
Greenblue
Greenred
Greenyellow
Redblue
Redgreen
Redyellow
Yellowblue
Yellowgreen
Yellowred
Answer: 7
Step-by-step explanation:
Took on computer
Find an acute angle that satisfies csc Theta=3.1297
The acute angle that satisfies the equation is 18.6 degrees
How to find an acute angle that satisfies the equation?The equation is given as
csc Theta = 3.1297
Rewrite properly as
csc(∅) = 3.1297
In trigonometry
csc(∅) = 1/sin(∅)
So, we have
1/sin(∅) = 3.1297
This means that
sin(∅) = 1/3.1297
Evaluate the expression
sin(∅) = 0.3195
Take the arc sin of both sides
∅ = sin-1(0.3195)
Evaluate the arcsin expression
So, we have
∅ = 18.6
Hence, the acute angle that satisfies the equation is 18.6 degrees
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