Answer:
3x^5-4x^4-x^2+5
Step-by-step explanation:
(3x^5−2x^4−5)−(2x^4+x^2−10)
Distribute the minus sign
(3x^5−2x^4−5)−2x^4-x^2+10
Combine like terms
3x^5-4x^4-x^2+5
Hello!
Answer:[tex]\boxed{ \bf 3x^5~-~4x^4~-~x^2~+~5}[/tex]
__________________________________Explanation:(3[tex]x^{5}[/tex] - 2[tex]x^{4}[/tex] - 5) - (2[tex]x^{4}[/tex] + x² - 10)
Drop the brackets:
3[tex]x^{5}[/tex] - 2[tex]x^{4}[/tex] - 5 - 2[tex]x^{4}[/tex] - x² + 10
Combine Like Terms:
3[tex]x^{5}[/tex] - 2[tex]x^{4}[/tex] - 2[tex]x^{4}[/tex] - x² - 5 + 10
3[tex]x^{5}[/tex] - 4[tex]x^{4}[/tex] - x² + 5
PLEEEEEEEEEASE HEEEEEEEEELP
In a large harbour there are many docks, labeled alphabetically, which are built side by side in a straight line. Dock A and Dock K are located 2.3 km apart along this line. There is a Dock L on an island outside the harbour such that is 45° and is 64°. How far is the island dock away from each of the other two docks?
Answer:
distance island dock to Dock A = 4.99 km
distance island dock to Dock K = 6.35 km
Step-by-step explanation:
Always make a scetch to visualize the situation.
You need to construct two triangle both with a streight angle, so you can use Pythagoras to calculate the unknown distances between the island dock L, and each of the other two docks A an K.
I chose to introduce an extra letter, the letter C. In total you have the letters A K L and the letter C.
The letter C has a streight angle of 90° between ACL and it has the same streight angle of 90° with KCL. It is crucial that you see that the distance of LC is exactly the same in triangle LAC and that LC has exactly the same distance in the other triangleLKC.
The distance between AK = 2.3 km.
I define the distance between K and point C as 2.3 + x, because the distance x is unknown.
KC = 2.3 + x
Further more, when you make a picture, you can see that the distance between A and point C = x.
From such a picture, it would show clearly, that K is further away in respect to L then point A. From the picture it would be clear that the angle of LKC is smaller then the angle of LAC, so LKC = 45° and LAC = 64°.
Because angle LKC = 45° and we choose C to have an angle of 90°, the TRIANGLE LKC must be a special triangle... In any triangle, the sum of the three angles together, must add up to 180° .
If that is true, then we have 45 + 90 + 45 (because that adds up to 180). Now that means triangle LKC must have two equal sides (because of the same angels of 45° ).
So we know the distance KC = LC and we already defined KC = 2.3 + x.
Now we know enough to solve the problem.
AK = 2.3 km
angle of LKC = 45°
angle of LAC = 64°
AC = x
KC = 2.3 + x
LC = KC
LC = 2.3 + x
Try to calculate the distance x by using tan. After that you can use Pythagoras to find the other distances.
tan(LKC) = ( LC ) / ( KC )
tan(LKC) = ( x+2.3 ) / ( x+2.3 )
That is not helpful. Let's try the other triangle...
tan(LAC) = LC / AC
tan(LAC) = ( x+2.3 ) / x
tan(64) = ( x+2.3 ) / x
Solve the equation which means you try to find the value for x.
x * tan(64) = ( x+2.3 )
tan(64) * x -x = 2.3
tan(64) * x - 1* x = 2.3
Try to get x outside of the braquets...
x* ( tan(64) - 1 ) = 2.3
x* (2.0503038415793 - 1 ) = 2.3
1.0503038415793 * x = 2.3
x = 2.3 / 1.0503038415793
x = 2.19
Now use Pythagoras a² + b² = c² in triangle LAC to find distance LA.
LA² = AC² + LC²
AC = x = 2.19
LC = 2.3 + x = 4.39
LA² = 2.19² + 4.39²
LA = SQRT( 4.79 + 20.16 )
LA = SQRT( 24.95 )
LA = 4.99 km
Now use Pythagoras a² + b² = c² in triangle LKC to find distance LK.
LK² = KC² + LC²
KC = 2.3 + x = 4.39
LC = 2.3 + x = 4.39
LK² = 4.39² + 4.39²
LK = SQRT( 20.16 + 20.16 )
LK = SQRT( 40.32 )
LK = 6.35 km
A line passed through the origin and has a slope of 1/2.
Answer:
D. (2, 1)
Step-by-step explanation:
slope = 1/2
y-intercept = 0
Equation: y = 1/2 x
Choice A:
x = 0
y = (1/2)(0) = 0
Choice A does not work.
Choice B:
x = 1/2
y = (1/2)(1/2) = 1/4
Choice B does not work.
Choice C:
x = 1
y = (1/2)(1) = 1/2
Choice C does not work.
Choice D:
x = 2
y = (1/2)(1) = 1
Choice D works.
Answer: D. (2, 1)
Please help I don’t get it!!!
( I will mark brainliest!)
Answer:
15/4 OR 3 whole number 3/4
Step-by-step explanation:
If x=4 and y=5 and z=-2 what is the answer for this equation: 3x + 1
Answer:
13
Step-by-step explanation:
We only need to pay attention to the x. We multiply 3 and 4 to get 12. Then we add 1 to get 13.
Answer:
13
Step-by-step explanation:
3x + 1
Let x = 4
3*4 +1
Multiply
12+1
13
What is the standard notation of 415 km?
Answer:
The answer is 415 because it is already in standard notation.
Y
U(7,6)
T(3,4)
X
0
(k, k+8)
The figure shows a straight line passing through the points T(3, 4) and U(7,6).
(a) Find the gradient of TU.
(b) Find the equation of the line TU.
(c) A point (k, k+ 8) lies on the line TU produced. Find the value of k.
Answer:
a) 1/2
b) y = 0.5x + 2,5
c) k = -3
Step-by-step explanation:
Given are points T(3, 4) and U(7,6).
To find the gradient of TU, you look at the incline in value in the y-direction, divided by the incline in value in the x-diretion.
(Uy- Ty) / (Ux- Tx)
substitute the values given and you get:
(6-4) / (7-3)
2 / 4
This gives you the answer on question a) The gradient of TU = 1/2
Any line is of the form y = ax + b with a = the gradient found in answer a) an b is the the value on the y-coordinate on the y axis, where the line TU intersects with the y-axis.
The whole next part is my attempt to explain to you something about getting the answer for b. Sorry if it is so long, but please take the time to read the explanation, and I hope it will help you to understand what is going on.
The gradient of TU = 1/2 which means that if you start on any point on the line, and then you go 2 units to the right and 1 up you will end upon another point on the line. That is because the quotient is the same. 2/4 = 1/2 = 0,5/1
The last quotient, 0,5/1 , also has the resulting value of 0,5.
This means that if you start on any point on the line, and then you go 1 unit to the right and 0.5 up, you will be on another point on the line.
ATTENTION : This means also, that if you start on any point on the line TU, and then you go 1 unit to the LEFT and 0.5 DOWN, you will be on another point on the line TU. If you understand this, than you have learned something important!
We need to know where the line TU intersects with the y-axis, and now we can use this to find that value?
Since point T(3,4) lies 3 units to the right of the y-axis, we need to go 3 units to the LEFT. But remember the incline of 0.5/1 ... For every unit you go to the left you need to go 0,5 unit DOWN to remain on the line.
If you go 3vunits to the left, how many units do you need to go down?
3 * 0.5 units which is 1.5.
Point T has an y coordinate of 4 so ... what will the y coordinate be if you go 3 units to the left?
4 - (1.5) = 2.5
So now finally we can write down the answer to question b).
y = 0.5x + 2,5
c) (k, k+ 8) lies on the line TU. So substitute that in y = 0.5x + 2,5
inplace of x you write kinplace of y you write k+8y = 0.5 * ( x ) + 2,5
k+8 = 0.5 * ( k + 8 ) + 2,5
k+8 = 0.5*k + 4 + 2,5
Bring all k values to the left of the equality sign, and all number values to the right.
k - 0.5*k = 4 + 2,5 - 8
0.5*k = 6,5 - 8
0.5*k = -1,5
multiply left and right of the = sign by 2 and you get your answer on question c).
k = -3
All natural numbers excluding 1 and prime numbers are best described as?
___________________
Answer:
Composite Numbers.
HELP ME PLEASE!!! URGENT!!
Answer:
False
Step-by-step explanation:
See how the bottom of the line F(x) just drops off? That means there isn't an even decline, meaning even the inverse would have an uneven slope.
This line cannot be a function, no matter which way you turn it.
Answer:
false
Step-by-step explanation:
f is on the Opisite side.
5y + 3 > −7y + 13 Multi-step linear inequalities
Answer:
y > [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
Given
5y + 3 > - 7y + 13 ( add 7y to both sides )
12y + 3 > 13 ( subtract 3 from both sides )
12y > 10 ( divide both sides by 12 )
y > [tex]\frac{10}{12}[/tex] , that is
y > [tex]\frac{5}{6}[/tex]
4. In the hockey season, Chris had 150 shots on goal. She scored on 22% of her
shots. How many goals did she score?
Answer:
She scored on 33 of them
Step-by-step explanation:
You take 150 and multiply it by .22. which is 22%
joy and Peter were each walking along a straight road. Joy walked 1800 meters in 1/3 hour. Peter walked 1/2 of joy's distance in 1/5 hour.
1. What was joy's average walking speed
2. How much did Peter walk in 1/5 hour
3. What is peter's average walking speed
4. Joy walks how much meters/hours faster, slower, or as fast as
Really stuck on this please help!
Answer:
4) BC=30.14
11)XZY≈47.5°
Step-by-step explanation:
4) we use cosine law because we have two length known and one angle known
BC²=AB²+AC²-2ABcos55°
BC²=23²+20²-2*23*20cos55°=908.6
BC=√908.6= 30.14 cm
11) we use cosinee law because three length known
cosXZY=(22²+20²-17²)/(2×22×20)
cosXZY=0.676
XZY^= cos^-1 0.676
XZY^=47.5°
Please answer correctly !!!!!!!!! Will mark brainliest !!!!!!!!!!!!
Answer: 33
Step-by-step explanation:
there ages m and b.
m = b + 12
m - 17 = 4(b - 17) m = 4b - 51
3b = 63
b = 21
m = 21 + 12 = 33
Hope this helps :)
Answer: Michael is 33 years old.
Step-by-step explantation: Okay, think of it like this, Michael's age for right now is x since we still do not know Michael's age. Pay close attention to the first sentence. What does it say? m = b + 2. Now pay attention to the second sentence. What does it say? m - 17 = 4 ⋅ (b = 17). Now, let's move on to the system of equations. As you can see here, the system of equations is
{m = b + 12
{m - 17 = 4 ⋅ (b - 17}.
Now for more equations.
m - 17 = 4b - 68
m = 4b - 68 + 17
m = 4b - 51
m - 4b = -51
-
b + 12 - 4b = -51, through the substitution from the first equation we saw
-3b = -51 - 12
3b = 51 + 12
b = 51/3 + 12/3
b = 17 + 4
b = 21
-
m = 33.
What are the zeros of the function f(x) = x2 + 5x + 5 written in simplest radical form?
Quadratic formula: x =
- Vb2 - 4 ac
2a
Answer: ([tex]\frac{-5 +\sqrt{5} }{2}[/tex], 0), ([tex]\frac{-5 -\sqrt{5} }{2}[/tex], 0)
Step-by-step explanation: Let me know if you need an explanation.
How do you calculate the interquartile range of a dot plot or data set?
Answer:
The IQR describes the middle 50% of values when ordered from lowest to highest. To find the interquartile range (IQR), first find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.
Step-by-step explanation:
hope this helps
correct me if this is wrong
Graph the points ( 0, 2 ), ( 6, 2 ), ( 7, 4 ), ( 1, 4 ) and connect the points in order to create a parallelogram. What is the perimeter of the parallelogram? Is the perimeter a rational or irrational number? How do you know?)
Answer: 16, rational
Step-by-step explanation: because its a real number
A group of 6th-grade students ran the 50-yard dash. Their times are
shown in the line plot below. What was the median time for the 50-yard
dash?
Time on 50-yard Dash
(in seconds)
Answer:
the median time for the 50 yard dash is 8 seconds
Step-by-step explanation:
hope this helps :)
An article is purchased for Rs.5000 andsold for Rs.4500.Find loss percent
Answer:
10% loss
Step-by-step explanation:
the difference = Rs. 5000 -Rs. 4500 = Rs. 500
Rs. 500/Rs. 5000*100%= 10%
Since it was reduction in price, it is 10% loss
what is the volume of this container
Answer:
1468 in³
Step-by-step explanation:
First get get the total volume of the rectangular prism:
length l = 10 in
width w = 15 in
height h = 10 in
diagonal d = 20.6155281 in
total surface area Stot = 800 in²
lateral surface area Slat = 500 in²
top surface area Stop = 150 in²
bottom surface area Sbot = 150 in²
volume V = 1500 in
Now get get the volume from the missing rectangular prism:
ength l = 4 in
width w = 4 in
height h = 2 in
diagonal d = 6 in
total surface area Stot = 64 in²
lateral surface area Slat = 32 in²
top surface area Stop = 16 in²
bottom surface area Sbot = 16 in³
volume V = 32 in³
So 1500in³- 32 in³ =1468 in³
Answer:
1468
Step-by-step explanation:
10*10*15 = 1500
1500 - (4*4*2) = 1468
1500-32=1468
Therefore the answer is 1468
Which line is a slop that is positive
Answer: A
Step-by-step explanation:
Answer:
the correct answer i believe is A. :)
Griffin ordered a pair of sneakers online. He had a $22 credit that he applied toward the purchase, and then he used a credit card to pay for the rest of the cost. If the shoes cost $65, how much did Griffin charge to his credit card when he bought the sneakers?
Answer:$43
Step-by-step explanation:
65 -22 =43
Find the area of the semicircle.
Katherine earned 84, 92, 84, 75, and 70 on her first 5 tests.
What is the minimum grade Katherine needs to earn on the next test to have a mean of 84?
Answer:
D
Step-by-step explanation:
Okay, so the best way to find is too plug in the answer choices.
to find the mean you: add all the numbers up and then, you divide it by however many numbers there are.
minimum meaning exactly 84 no greater!
Start with letter choice A
84+92+84+75+70+81=486
486/6=81 which is below minimum
Next is letter choice B
84+92+84+75+70+84=489
84/6=81.5 which is below minimum
Next is letter choice C
84+92+84+75+70+95=500
500/6=83.3 which is below minimum
Next is letter choice D
84+92+84+75+70+99=504
504/6=84 which is the correct answer
pls mark me brainliest
Which Earth feature was created in a similar way to how much of the solar system was formed? A. Meteor Crater B. the Grand Canyon C. the Petrified National Forest D. Half Dome in Yosemite National Park
Answer: i think its b.
Step-by-step explanation:
What is the ratio of the volume of Cylinder A to the volume of Cylinder B? If cylinder A has a radius of 3 and a height of 4 and cylinder B has a radius of 4 and a height of 3
Answer:
3:4
Step-by-step explanation:
Volume of cylinder A = V= π[tex]r^{2}[/tex]h = r,3 h,4 = [tex]\pi[/tex]36
Volume of cylinder B = V= π[tex]r^{2}[/tex]h = r,4 h,3 = [tex]\pi[/tex]48
Ratio of the volume = [tex]\frac{36}{48}[/tex]
= [tex]\frac{18}{24}[/tex]
= [tex]\frac{9}{12}[/tex]
= [tex]\frac{3}{4}[/tex]
= 3:4
Hope it helps!
Mark as brainliest!
A sector with a radius of 15cm has a central angle measure of 8pi/5 (in radians)
Answer:
565.49 cm2
Step-by-step explanation:
The area of a circle is given by:
Area = pi * r^2
And the whole area represents a central angle of 2pi.
Then, to find the area of this sector, we just need to use a rule of three:
area of pi * r^2 -> central angle of 2pi
area of x -> central angle of 8pi/5
x * 2pi = pi * r^2 * 8pi/5
2x = r^2 * 8pi/5
x = r^2 * 4pi/5 = 15^2 * 4pi/5 = 565.49 cm2
Answer:180pi cm^2
Step-by-step explanation:
Cuz I got it right
Which of the matrixes can be added together? Choose all that apply.
Both matrices are 1 x 4 matrices. This notation says there is 1 row and 4 columns. The number of rows must match up, as well as the number of columns, in order for matrix addition to be possible. This is so the corresponding elements pair up and add together. For instance, the 5 and -2 pair up and add together for matrices A and C.
How do you solve for all values of x by factoring
Answer:
Just follow the guideline given below.
Step-by-step explanation:
To solve values of x by factoring, you need to follow these steps:
1. Move all terms to one side of the equation, usually the left, using addition or subtraction.
2. Factor the equation completely.
3. Set each factor equal to zero, and solve it.
4. List each solution from 3 as a solution to the original equation.
You usually end up with an answer like x =.. or x = ... and so on.
Plsss he helppp fasttttt
Answer:
c d
Step-by-step explanation:
no explanation
take out a minus from first two fractions
To divide 1.89 ÷ 0.9, we need to change it. Choose the correct problem below to show what the “new” look would be.
A. 189 ÷ 9
B. 18.9 ÷ 0.9
C. 1.89 ÷ 9
D. 18.9 ÷ 9
Answer:
D. 18.9 ÷ 9
Step-by-step explanation:
we need to divide
1.89 ÷ 0.9 but write it in different form
so ,we need to eliminate decimal from 0.9
as 0.9*10 = 9
thus,we multiply both 1.89 and 0.9 with 10, then we will have
(1.89*10) ÷ (0.9*10)
=> 18.9 ÷ 9
Thus, based on above calculation new look would be D. 18.9 ÷ 9