URGET PLEASE HELP
Let f(x) = 5x4 – 2x2 – 8x + 3 and g(x) =
-7x4 + 6x3 + 10x²
x + 4. What is f(x) + g(x)?
Answer:
f(x)+ g(x) = [tex]-2x^{4} + 6x^{3} +8x^{2} -8x+3[/tex]
Step-by-step explanation:
You just have to add the like terms separately,
5-7 in [tex]x^{4}[/tex]
only 6 in [tex]x^{3}[/tex]
10-2 in[tex]x^{2}[/tex]
-8 in x
and 3 as the constant
what is the value of x
A.6
B. 10
C.4
D.8
A bag contains 5 blue marbles, 8 green marbles, and 11 red marbles. What is the probabilty of choosing a green marble?
Answer:
1/3
Step-by-step explanation:
You add the marbles up and you get 24, now divide by 8 and you get 3. Which is equal to a 1/3 chance of getting the green marble.
(31 points) Wilson County School District consists of 2,548 students. The district decided to conduct a survey regarding their new dress code policy. Wilson County School District surveyed 479 of their students and found that 42% of those surveyed disliked the new dress code policy. What is the margin of error, assuming a 95% confidence level?
Answer:
+ or - 0.044
Step-by-step explanation:
The margin of error is 0.044.
What is a Margin of Error?A Margin of Error is defined as the results will vary from the actual population value by how many percentage points, as indicated by the margin of error.
The margin of error using this formula, where z is the critical value.
[tex]ME = z\sqrt{\dfrac{T(1 - t)}{n} }[/tex]
To determine a margin of error for a sample proportion,
Where n is the sample size and is the sample proportion, these assumptions must be true.
n t ≥ 10
n(1 - t) ≥ 10
Write the proportion of lead to significant as a decimal number first,
42%
= 0.42
Now substitute the sample proportion and the sample size, 479, the assumptions are inserted into the equations to see if they are satisfied.
⇒(479X0.42) 201.18
⇒ (479)(1 − 0.42)
⇒ 277.82
Both values are greater than 10, so the assumptions are satisfied, and the margin of error can be calculated.
Determine the margin of error using this formula, where z is the critical value.
[tex]ME = z\sqrt{\dfrac{T(1 - t)}{n} }[/tex]
For a 95% confidence level, z = 1.96.
Substitute the values of z, n, and T into the formula for margin of error and evaluate.
[tex]ME = 1.96\sqrt{\dfrac{0.42(1 - (10.42)}{479} }[/tex]
ME ≈ 0.044
Hence, the margin of error is 0.044.
Learn more about margin of error here:
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Write the following expression using a single exponent. 4^6 ÷ 4^-2
Answer:
4^8.
Step-by-step explanation:
4^6 ÷ 4^-2 when dividing we subtract exponents , so we have:
4^(6- (-2))
= 4^8.
Find the diagonal of a television screen 30 inches wide by 35 inches tall.
Round answer to the nearest tenth (if necessary).
Answer:
46.1 in
Step-by-step explanation:
Given data
Width= 30in
Height= 35in
To find the diagonal, we have to use the Pythagoras theorem
z^2= x^2+y^2
z^2= 30^2+ 35^2
z^2= 900+1225
z^2= 2125
z= √2125
z= 46.09
Hence the diagonal of the TV is 46.1 in
Briana and her brother, Dimitri, each inherit $8,000 that they use to open new savings accounts.
Briana's account earns 4.3% annual compound interest. Dimitri's account earns 5.4% simple
interest. Assuming neither makes any additional deposits or withdrawals, how much more will
Briana's account be worth than Dimitri's account after 18 years? Round all final answers to the
nearest whole number.
Answer:
Dimitri's will have 3547.8 more than Briana
Step-by-step explanation:
but If your asking how much more she will have she won't but if you have to put something out -3547.8 hope this helps
There are 65 chairs set up for a movie. They are arranged into 5 rows. How many chairs are in each row?, don’t answer if u don’t know it
Answer:
13 chairs in each row
Step-by-step explanation:
divide 65 by 5 to get 13
Answer: 13
Step-by-step explanation: 65 divided by 5
Find the area please
Answer:
th answer would be 20.8 :)
Step-by-step explanation:
lmk if this helps <33
You pick a card at random. Without putting the first card back, you pick a second card at
random.
123
What is the probability of picking a 2 and then picking a 1?
Write your answer as a fraction or whole number.
Answer:
1/6
Step-by-step explanation:
Firstly, Pr(e) = n(e)/Total outcome
Pr(2) = 1/3
Pr(1) = 1/2
Pr(1 and 2) = 1/3 * 1/2 = 1/6
3x+2y=12 2x-3y=21 elimination please solve with answer and steps
Answer:
(6,-3)
or
x=6 y= -3
Step-by-step explanation:
Taking a quick look at this question we notice that we simply cannot add/subtract the two equations and eliminate a variable
What we can do is mulitply an equation to make the above true
let's try to get the first equation to have a 3y, and we can do this by multiplying it by 1.5 (this is legal because we do it to both sides)
So our new first equation is
1.5(3x+2y)=12*1.5
which simplifies to
4.5x+3y=18
We then add the two equatiosn
(4.5x+3y)+(2x-3y)=18+21
6.5x=39
x=6
Now that we know x we can plug that in and solve for y
3(6)+2y=12
18+2y=12
-6=2y
y= -3
Calculate the value of this
Answer: here’s your answer
Step-by-step explanation:
Fill in the blank.
2. The volume of a cone is _____ the volume of a cylinder with the same base and height.
The volume of a cone is three times the volume of a cylinder with the same base and height.
Step-by-step explanation:
the volume of a cone is equal toone-third of the volume of a cylinderhaving the same base radius and height
Ryan goes for a run for 29 minutes. He knows that each mile he runs
takes 6 minutes. To the nearest tenth, how many miles did Ryan run?
(turn your answer into a mixed number...simplify it...then type it as a decimal)
Answer:
4 and 5/29
Step-by-step explanation:
I=$26.24, P=$500, T=18 months the annual interest rate is
8 in.
8 in.
8 in.
Find the area of the figure above.
[?] in2
Answer:
96
Step-by-step explanation:
Total area = area of cube + area of triangle
A = 8² + = 64 + 32 = 96 in
Help!!!!!!!!!! I need it asap
Answer:
(-4,3)
Step-by-step explanation:
I used photo math
16. The hood of Olivia's car is the shape of a trapezoid. The base bordering the
windshield measures 30 inches and the base at the front of the car measures
24 inches. What is the width of the median of the hood?
F. 25 in.
G. 27 in.
H. 28 in.
J. 29 in.
Answer:
Option G: 27 inches.
Step-by-step explanation:
When we have a trapezoid with bases:
B₁ and B₂, the median of the trapezoid can be calculated as:
M = (B₁ + B₂)/2
In this case, we know that the bases are:
B₁ = 30 in
B₂ = 24 in
Then the median is:
M = (30in + 24in)/2 = 54in/2 = 27in
The correct option is G.
The coordinates of the vertices of a polygon are (1, 2), (1,-1).(-6, -1), and (-6, 2).
What is the perimeter of the polygon?
A. 10 units
B. 14 units
C. 18 units
D. 20 units
The answer is D. 20 units
Answer:
20 units
Step-by-step explanation:
how many triangles are there
*image insert here*
No links! If ∆DEF~∆GHF, find the value of x.
Answer:
i couldn't atatch it onto here but you can down load it here
Step-by-step explanation:
Zari folds the net shown into a model of a solid figure. How many edges, faces, and vertices does the model have?
Answer:
-5 Faces
-10 Edges
-6 Vertices
Step-by-step explanation:
Folded out there are 3 rectangles and 2 triangles, 5 faces
Count the straight lines, no dotted, it's 10 edges
Count the corners only and the top of the triangles 6 vertices
Find the area of the kite below.
Answer:
160 unit^2.
Step-by-step explanation:
Area = xy/2 where x and y are the length of the diagonals, so here:
Area = (16*20)/2
= 320/2
= 160.
please do this <33333
We know that,
In a right-angled triangle,
Hypotenuse ² = Base ² + Height ²
1 – 10 ² = 6 ² + X ²
Or, X ² = 10 ² – 6 ²
Or, X ² = 100 – 36
Or, X ² = 64
Or, X = √ 64
Or, X = 8 Units
2– X² = 7² + 3²
Or, X² = 49 + 9
Or, X² = 58
Or, X = √58
Or, X = 7.61 Units ( Approx )
3 – 15 ² = EF ² + 9
Or, EF² = 15 ² – 9 ²
Or, EF ² = 225 – 91
Or, EF ² = 134
Or, EF = √ 134
Or, EF = 11.6 Inches ( Approx)
.II} 1 – Here the length of the ladder will be the hypotenuse.
Hence, Hypotenuse = 13 Metre
.Now, The vertical wall will be the height.
Hence, Height = 12 Metre
Distance of the foot of the ladder to the wall will be the base.
Let base be B.
Now, Hypotenuse ² = Base ² + Height ²
Or, 13² = B² + 12²
Or, B² = 13² – 12²
Or, B² = 169 – 144
Or, B² = 25
Or, B = √25
Or, B = 5 Metre
Hence, the distance of the foot of the ladder from the wall is 5 metre apart.
Does the orientation change in quadrilateral
ABCD to A'B'C'D'? when reflected?
A.)Yes, and it is reflected over the x-axis
B.) yes , and it is reflected over the y-axis
Answer:
b
Step-by-step explanation:
i have had this before
Help!!!
Shawn has a piece of cardboard as shown in the diagram.
He wants to cut out as many squares as possible from the cardboard.
How many squares can he cut if each side of a square is....
Answer:
A. 2 cm long
Step-by-step explanation:
The there would be more squares cut out, the squares are smaller and its all even
Answer:
Step-by-step explanation:
A) 4+15=19 total 2cm squares
B) 4 + 3 = 7 total 3cm squares
C) 1 + 2 = 3 total 4cm squares
Help me solve this problem for a hug
Answer:
4
4in
Step-by-step explanation:
what grade lvl is this???
Have a nice day! :-)
If the surface area of a sphere is 484π, what is the radius?
Answer:
6.21 is the radius I believe
Step-by-step explanation:
Answer:
It would be 11.
Step-by-step explanation:
The equation for the surface area of a sphere is 4πr^2, so lets reduce the answer to get the value of r, the radius.
484π = 4πr^2
Divide by π
484 = 4r^2
Divide by 4
121 = r^2
Lastly, square root each side
11 = r
r is 11.
The side lengths of a 45-45-90 triangle are in the ratio 1 : 1 : SR2 what is tan 45?
SR= square root
Answer:
Step-by-step explanation:
tan 45=1/1=1
Tan Theta is one of the trigonometric ratios which is equal to opposite / Adjacent in a triangle, the value of tan45 is 1.
What is the 45-45-90 triangle?The 45-45-90 triangle is also an isosceles triangle, which means its two legs are equal in length.
Tan Theta is one of the trigonometric ratios which is equal to opposite / Adjacent in a triangle.
The side lengths of a 45-45-90 triangle are in the ratio 1: 1: [tex]\sqrt{2}[/tex].
The value of tan45 is given by the following formula;
[tex]\rm Tan 45 = \dfrac{Perpendicular}{Base}\\\\Tan45=\dfrac{1}{1}\\\\Tan45=1[/tex]
Hence, the value of tan45 is 1.
Learn more about trigonometry here;
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The map shows the locations of 11 shelters along the Appalachian Trail. The distances (in miles) between these
shelters are 0.1, 14.3,5.3, 1.8, 14, 8.8, 8.8, 16.7, 6.3, and 3.3.
a. Find the mean, median, and mode of the distances.
b. A hiker starts at Shelter 2 and hikes to Shelter 11. How
does this affect the mean, median, and mode? Explain.