Determine the projection of w onto v. U=9i-6j, v= -3i-2j, w=19i+15j
Answer:
w·v = -87
Step-by-step explanation:
The projection of a vector on another vector is given by the dot product between the vectors.
Thus, you calculate the dot product between w and v:
[tex]\vec{w}=(19,15)\\\\\vec{v}=(-3,-2)\\\\\vec{w}\cdot \vec{v}=(19,15)\cdot (-3,-2)\\\\\vec{w}\cdot \vec{v}=-57-30=-87[/tex]
So, the projection of w on v is -87
Write 4x^4 + x^6 - 3+ 6x^8 in standard form.
Answer:
6x^8 + x^6 + 4x^4 + 0x^2 - 3
Step-by-step explanation:
Rewrite this in descending order by powers of x:
6x^8 + x^6 + 4x^4 + 0x^2 - 3x^0
or
6x^8 + x^6 + 4x^4 + 0x^2 - 3
5.Gabby is fishing from a small boat. Her fishing hook is 36 feet below her, and a fish is swimming at the same depth as the hook, 77 feet away. How far away is Gabby from the fish?
Answer:
113 feet away
Step-by-step explanation:
This one is just simple maths! 36 + 77.
Hava a great day!
Round 69.65 to the nearest whole number.
A) 69
B) 69.7
C) 70
D) 70.6
Answer:
70
Step-by-step explanation:
69.65
We look at the tenths place to determine if we round up or leave it alone
.6 is greater then or equal to five so we need to round the 9 up
69.65 rounds to 70
Answer:
C
Step-by-step explanation:
Rounding 69.65 to the whole number would be 70
Find the area
Please help me thank you!
please help will mark brainly
Answer:
The Answer Is 2/3
Step-by-step explanation:
If you look at the shaded area it is 2 shaded out of 3 which means 2/3
Answer:
2/3
Step-by-step explanation:
There are 3 blocks and 2 of those 3 are shaded.
Hope this helps
Please mark me as Brainliest
find the value of x in the following..... 3^x = 8
Answer:
x ≈ 1.893 ( to 3 dec. places )
Step-by-step explanation:
Using the rule of logarithms
log [tex]x^{n}[/tex] = n logx
Given
[tex]3^{x}[/tex] = 8 ( take the log of both sides )
log[tex]3^{x}[/tex] = log8, that is
xlog3 = log8 ( divide both sides by log3 )
x = [tex]\frac{log8}{log3}[/tex] ≈ 1.893
Can someone help me on this?
Answer:
B
Step-by-step explanation:
asdddddddddddddddddddddddddddddddsdasdasdasdasdas
Answer:
b
Step-by-step explanation:
what is absolute diviation
It’s the average distance between each data value and the mean.
Answer:
one measure of variability; the average of how much the individual scores of a data set differ from the mean of the set. - abbreviation: MAD
Step-by-step explanation:
Hey i had previously if -20.33 was rational or irrational , i didn’t get an answer could someone please let me know ?
Answer:
Yes
Step-by-step explanation:
-20.33 is rational. It has a terminating decimal.
Terminating and repeating decimals are rational. Decimals that are never ending and does not have a repeating pattern of decimals are irrational.
-20.33 = [tex]-20\frac{33}{100}[/tex]
Directions: Identify the two integers which the square root lies between.
V48
5 and 6
7 and 8
6 and 7
8 and 9
12x – 10 > 10x – 20 solve for x
Answer:
x>-5
Step-by-step explanation:
12x-10>10x-20
2x-10>-20
2x>-10
x>-5
What is the surface area of the square pyramid?
Answer:
D
Step-by-step explanation:
The formula for the surface area of a square pyramid is [tex]a^2+2a\sqrt{\dfrac{a^2}{4}+h^2}[/tex], where a is the length of one of the base side lengths and h is the height. Plugging in the given values into this equation, you get:
[tex]75^2+2(75)\sqrt{\dfrac{75^2}{4}+90^2}=[/tex]
[tex]5625+150\cdot \sqrt{9506.25}=[/tex]
[tex]5625+14625=[/tex]
[tex]20,250[/tex] square yards, or answer choice D.
Hope this helps!
PLS HELP ME
M^2- 7m+1 ?
Answer:
Step-by-step explanation:
factorize the given equation like this
m^2-7m+1
m^2-2m+1-5m
(m-1)^2-([tex]\sqrt{5m}[/tex])^2
(m-1+[tex]\sqrt{5m}[/tex])(m-1-[tex]\sqrt{5m}[/tex])
In the diagram, the lines dividing the parking spaces are parallel. What must be true about <1 and <2? What theorem supports your conclusion?
Answer:
Option B.
Step-by-step explanation:
Given question is incomplete; find the question in the attachment.
Given figure shows the parking spaces are divided by the parallel lines.
Here the two lines having ∠1 and ∠2 are parallel and a transverse is intersecting these lines.
By alternate interior angles theorem, ∠1 and ∠2 will be equal in measure.
Therefore, Option B. will be the answer.
In triangle ABC points M and N lie on sides AB and BC, respectively such that MN∥ AC . Segments AN and CM intersect at point K and AK = KC. Prove that △ABC is isosceles.
Answer:
Statements Reasons
1. [tex]MN \parallel AC[/tex] 1. Given
2. [tex]AK = KC[/tex] 2. Given
3. [tex]m \angle NAC = m\angle MCA[/tex] 3. Base angles theorem.
4. [tex]m \angle NAC = m\angle MNA[/tex] 4. Alternate interior angles.
5. [tex]m \angle MCA = m \angle NMC[/tex] 5. Alternate interior angles.
6. [tex]MK = NK[/tex] 6. Isosceles triangle theorem.
7. [tex]m \angle MKA = m \angle NKC[/tex] 7. Vertical angles.
8. [tex]\triangle MKA \cong \triangle NKC[/tex] 8. By SAS postulate.
9. [tex]m \angle MAK = m \angle NCK[/tex] 9. By CPCTC.
10. 10. Sum of adjacent angles.
[tex]m\angle MAK + m \angle NAC = m \angle NCK + m \angle MCA\\m \angle A = m \angle C[/tex]
11. [tex]\triangle ABC[/tex] is isosceles 11. Base angles theorem.
5. If sin x = 0.8829, what is the measure of the angle x?
Answer:
0.0154°
Step-by-step explanation:
In this problem we are required to solve for x, which is the angle, there are two ways to go about about it, we either use four figure table or calculator.
To use calculator remember to set your calculator in degrees and not in radian.
Punch sin 0.8829=0.0154°
Answer: The angle is 62.77°
Step-by-step explanation:
Here we can use the inverse function of the sin, the arcsin, this function is such that:
Asin(sin(x)) = x
and we have that sin(x) = 0.8829
Asin(sinx)) = Asin(0.8829) = 62.77°
The angle x, in degrees, is 62.77°
Math isnt my strong suit..
Answer:
See explanation below.
Step-by-step explanation:
First, read this explanation of how to understand probability numbers.
A probability number is a number from 0 to 1. It can be written as a decimal, a fraction, or a percent, but it must be from 0 to 1. The numbers 0, 25%, 1/3, 0.75 are all examples of probabilities since they are all from 0 to 1. 25% is the same as 0.25; 1/3 is the same as 0.333... All probabilities are expressed as 0, 1, or a number in between 0 and 1.
A probability of 0 means the event will not happen. It is an impossibility.
A probability of 1 or 100% is a sure thing it will happen. It is certain it will happen.
A probability of 50% or 0.5 or 1/2 means it is as likely to happen as it is not to happen.
A probability of between 0 and 0.5 is more likely not to happen than to happen.
A probability of between 0.5 and 1 is more likely to happen than to not happen.
Now let's look at each one of the probabilities in your problem.
1. 1/4
1/4 is the same as 0.25 which is between 0 and 0.5. It is more likely to not happen.
1. b. Unlikely
2. 0.0
0.0 will definitely not happen.
2. e. Impossible
3. 0.50
0.50 can just as easily happen or not happen.
3. d. Equally Likely
4. 100%
100% is the same as 1. A probability of 1 means an event that is certain to happen.
4. a. Certain
5. 75/100
75/100 is the same as 3/4 and 0.75; 0.75 is between 0.5 and 1, so it is more likely to happen than to not happen.
5. c. Likely
Carter took 7 coins out of his pocket. He did not have any pennies.He had more than $0.95 and less than $1.13 what could his coins have been ?Prove your anser
Answer:
Carter's coins could be;
3 of 5¢, 2 of 10¢, 1 of 25¢, and 1 of 50¢
Step-by-step explanation:
The available coin denominations are;
1¢ = 1 penny, 5¢, 10¢, 25¢, 50¢, and $1.00
Since the coins are more than $0.95, we can have;
5¢ × 3
10¢× 2
25¢× 1
50¢
Total = $1.00
That is his coins could have been 3 × 5¢, 2 × 10¢, 1 × 25¢, and 1 × 50¢, to make a total of 7 coins with an amount value of $1.00.
The absolute value of three, written as |3|
Answer:
In this subtraction, PR5T and 47Y6 represent 4-digit numbers. What number does PR5T represent?
PR5T - 47Y6 = 1998
Answer:
Step-by-step explanation:
4,250,000 written in word form
Answer: four million two hundred fifty thousand.
Step-by-step explanation:
The space shuttle's external tank was a component of the space shuttle's launch vehicle that carried the fuel during launch. The tank is cylindrical in shape, having a diameter of 8.4 metres and is 46.9 metres in length. A)How much fuel would the tank hold? B)The tank takes 8.5 minutes to be emptied during launch. At what rate is the fuel being used?
Answer:
a. The tank would hold a 2,600.136 m^3 or 2,600,136 liters of fuel
b. The rate at which the fuel is being used is 305,898.35 liters of fuel per minute
Step-by-step explanation:
a. Since the tank is cylindrical in shape, we can mathematically calculate the volume of the cylinder so as to know the amount of fuel it will hold.
Mathematically, the volume of a cylinder;
V = π * r^2 * h
where r is the radius which is the diameter divided by 2 = 8.4/2 = 4.2 meters in this case
h is the length here(in place of the conventional height) = 46.9 meters
π = 22/7
Plugging these values into the equation, we have;
V = 22/7 * 4.2^2 * 46.9 = 2,600.136 m^3 of fuel
Since 1 m^3 = 1000 liters
then 2,600.136 m^3 = 2,600.136 * 1000 = 2,600,136 liters( liters is a more comfortable unit when talking about liquids such as fuel)
b. Now we want to know the rate at which the fuel is used
What we need here is to just divide the volume of fuel used by the number of minutes it took the tank to be emptied
That would be = 2,600,136/8.5 = 305,898.35 liters/minute
The value of a car is $30.000and depreciates at a rate of 6.5% each year.
What will the value of the car be after 5 years?
find interest and subtract it from 30,000
What is the value for x when solving the equation –x + (–1) = 3x + (–5) using alegbra tiles?
Answer:
x=1
Step-by-step explanation:
just use this app called photomath its free on apple and gives you answers.
Answer: x = 1
Step-by-step explanation:
–x + (–1) = 3x + (–5)
−x−1−3x=3x−5−3x
−4x−1=−5
Add 1 to both sides.
−4x−1+1=−5+1
−4x=−4
Divide both sides by -4.
x = 1
Hope this helps :)
What is the Solution?
Answer: w=2 and 2=6
Step-by-step explanation:
If you substitute 6 and 2 in for w they both work, making c the correct answer
Answer:
w = 2 and w = 6
Step-by-step explanation:
Given
[tex]\frac{w}{2w-3}[/tex] = [tex]\frac{4}{w}[/tex] ( cross- multiply )
w² = 4(2w - 3) ← distribute
w² = 8w - 12 ( subtract 8w - 12 from both sides )
w² - 8w + 12 = 0 ← in standard form
(w - 2)(w - 6) = 0 ← in factored form
Equate each factor to zero and solve for w
w - 2 = 0 ⇒ w = 2
w - 6 = 0 ⇒ w = 6
Which expression has the same value as 5(4x+4)
Answer: 20x + 20
Step-by-step explanation: In this problem, the 5 "distributes" through the parentheses, multiplying by each of the terms inside.
So we have 5(4x) + 5(4) which simplifies to 20x + 20.
What is the discriminant of the quadratic equation 0 = –x2 + 4x – 2?
–4
8
12
24
Answer:
8
Step-by-step explanation:
0 = –x^2 + 4x – 2
This is of the form
ax^2 +bx +c
a = -1 b = 4 x = -2
The discriminant is
b^2 -4ac
4^2 - 4(-1)(-2)
16 - 8
8
In an elementary school, 25% of the 252 students ride a bus to school each day. How many students ride the bus?
Answer:
63 ride the bus
Step-by-step explanation:
of means multiply
25% * 252
Change to decimal form
.25* 252
63
Joe is looking for a new laptop case. His computer is 18 x 13.5 inches. What is the perimeter and area of the laptop case?
Perimeter:
Area:
Answer:
Perimeter =63 inches
Area = 243in²
Step-by-step explanation:
Given data
Length of computer = 18in
Width of computer = 13.5in
From the given data the computer has a rectangular shape
Perimeter of the computer = L+L+W+W= 2L+2W
Perimeter = 2(18)+ 2(13.5)
Perimeter = 36+27=63 inches
Area of rectangular shape = L*W
Area = 18 x 13.5= 243in²
Answer:
Perimeter: 63 inches
Area : 243 square inches
Step-by-step explanation:
Hi, to answer this question w eave to apply the next formulas:
Perimeter of a rectangle: (2 x width) + (2 x length )
Area of a rectangle: width x length
Replacing with the values given:
Perimeter: 2(18) +2(13.5) = 36+27 = 63 inches
Area = 18 x 13.5 = 243 square inches
Feel free to ask for more if needed or if you did not understand something.
can someone help? 25 points
Answer:
Triangle A: acute
Triangle B: acute
Triangle C: obtuse
Triangle D: right
Step-by-step explanation:
acute= less than 90 degrees each angle
obtuse=more than 90 degrees for one angle
right=equal exactly 90 degrees for one angle
Answer:
A=Acute
B. Acute
C.Obtuse
D.Right
Step-by-step explanation:
a,and b, and are acute becuase there angles are less than 90 degrees.
d is obtuse beucase the angleismore than 90 degrees
D is right beucase the angle is 90 degrees and it hasthat square in the corner.
