Answer:
α = 164.5387822595581°
Step-by-step explanation:
Calculate dot product:
a · b = ax · bx + ay · by = 5 · (-7) + (-4) · 3 = - 35 - 12 = -47
Calculate magnitude of a vector:
|a| = ax2 + ay2 = 52 + (-4)2 = 25 + 16 = 41
|b| = bx2 + by2 = (-7)2 + 32 = 49 + 9 = 58
Calculate angle between vectors:
cos α = a · b
|a|·|b|
cos α = -47
41 · 58
= - 47
2378
√2378 ≈ -0.9638111202541978
α = 164.5387822595581°
Find the value of f(3) for the function.
f(a) = 7(a + 1) - 5
F(3)=?
Answer:
F(3)=23
Step-by-step explanation:
F(3)= 7(3+1)-5
F(3)=7(4)-5
F(3)=28-5
F(3)= 23
you always want to do the problem in the parenthesis first. and you replace a with 3
14x+2(x+3)-7 please do the write down the problem and and solve it please I need help
Answer: it’s all in the picture
Step-by-step explanation: hope this helps
The sales function for a Super Mario Kart Video Game, d(x), after x years is represented by d(x)=30000\left(0.92)^{x}. To the nearest game, how many more games were sold year 2 than in year 4?
Answer:
SO you want me to figure out from year 2 or year4?
Step-by-step explanation:
Find the sum of the first 8 terms of the following sequence. Round to the nearest
hundredth if necessary.
32,
-16,
8, ...
Answer:
63.75
Step-by-step explanation:
this is a geometric progression with a common ratio of -1/2
the formula for the sum of first n numbers is
Sn = (a1(1-r^n)) / 1 - r
so S8 = (32*(1 - 1/2^8)) / (1 - 1/2)
32*(255/256) / 0.5
Sn= 255 / 4 = 63.75
Which is more, 79 pints or 10 gallons?
Answer:
79 Pints =
9.875 Gallons
so 10 gallons is more
Step-by-step explanation:
Given g(x)=f(x)+k, what value of k transforms function f into g?
Answer:
fg (gx)= xf (kg)
gf (fx) = f
what are common factor of 18x+24x+46
Answer:
2
Step-by-step explanation:
18, 24, and 46 can be divided by 2
Find the missing number:
12,25,18,14,X,8 Mean=15
PO =
13.
If Q is the midpoint of PR, find the coordinates of R
If P(6,2) and Q(-4,5).
(Show using algebra or show the pattern used)
P
R
RI
Using mid point formula.
In which we have
Q(-4,5)=(6+x/2) , (2+y/2)
-4=6+x/2 and 5 =2+y/2
-8=6+x and 10=2+y
x=-14 and y=8
Therefore the required value of R{-14,8}
The histogram represents the number of hours band students practice their instruments. Use the drop-down menus to complete the statements. The bars represent . According to the histogram, students spend 3 or more hours practicing. According to the histogram, students spend fewer than 2 hours practicing.
Answer:
Number of students
5
8
Step-by-step explanation:
Edg 2020
Answer:
number of students,5,8
Step-by-step explanation:
You use a line of best fit set of data to make a prediction about an unknown value. The correlation coefficient for your data set is 0.793. How confident can you be that your predicted value will be reasonable close to the actual value?
Answer:
Moderately confident
Step-by-step explanation:
Given that :
Correlation Coefficient = 0.793
The correlation Coefficient gives the strength of relationship between linear variables ranging from - 1 to 1.with values close to either - 1 or 1 depicting strong negative or positive correlation respectively, while values close to 0 signifies a weak correlation. Since the correlation Coefficient Given by the model is close to 1(0.793) one can be moderately confident that the value obtained from the model will be reasonably close to the actual value.
can anyone show me the problem in 35874 divided by 200?
Answer:
179.37
Step-by-step explanation:
35874 ÷ 200 = 179.37
HELP ME PLEASE AND QUICK TOO
(02.01)
Which is the ratio of the number of months that begin with the letter M to the total number of months in a year? (2 points)
a
2 to 12
b
2 to 10
c
10 to 12
d
12 to 2
Answer:
A is the right answer for your question.
solve for the equation 3r = -24
Answer:
yes
Step-by-step explanation:
bc Quick maths
Answer:
r=-8
Step-by-step explanation:
Use the figure for Items 2 and 3. Lines PS and TR intersect at point Q.
P
T
What is mZSQR?
R
(2m + 4)º
S
(3m + 1)º
The measure of angle SQR is 74
How to determine the value of SQP?The angles are given as
2m + 4 and 3m + 1
These angles are same side interior angles
So, we have
2m + 4 + 3m + 1 = 180
Collect the like terms
So, we have
2m + 3m + 4 + 1 = 180
Evaluate the like terms
So, we have
5m = 175
Divide both sides by 5
m = 35
Substitute m = 35 in SQR = 2m + 4
SQR = 2 x 35 + 4
Evaluate
SQR = 74
Hence, the measure of angle SQR is 74
Read more about angles at
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[ZA WARUDO] stops time and throws 200 knives at Jotaro Kujo. Then he adds one more and summons a ROAD ROLLER DA And smashes jotaro with it and it explodes. This subtracts 32 knives. How many knives did [ZA WARUDO] throw?
Answer:
169 knives
Step-by-step explanation:
What we know:
ZW threw 200 knives at Jotaro, then adds one more. This makes 201 knives, initially.
However, the RRD subtracts 32 from 201, making it 169 knives that ZW threw.
201 - 30 - 2 = 171 - 2 = 169 knives
Answer:
169 knives
Step-by-step explanation:
dio stopped time.
Jan bought 2 novels regularly priced at $24 and $18. Then reduced by 25%. What did she save?
Answer:
yeeeeeeeeeeeet
Step-by-step explanation:
thx for points
5. A team of mountain climbers makes camp 1.48 kilometers above sea level. They climb another 2.91
kilometers to the mountain's peak. How tall is the mountain?
Answer:
4.3068
Step-by-step explanation:
so what you do is 1.48 x 2.91
Answer:
= 4.39km
Step-by-step explanation:
Camp distance = 1.48Km
Distance travelled afterwards = 2.91km
Mountain Height = total distance travelled
So total distance = 1.48 + 2.91
= 4.39km -----------> final answer
Given f(x) = 5x + 1 divided by 2, solve for f^-1(8).
O a
3
O b
7
О c
10
O d
20
Answer:
3Step-by-step explanation:
Given the function f(x) = (5x+1)/2
We are to find the inverse first as shown;
let y = f(x)
y = (5x+1)/2
Replace y with x
x = (5y+1)/2
Make y the subject of the formula;
2x = 5y+1
5y = 2x-1
y = (2x-1)/5
f^-1(x) = (2x-1)/5
f^-1(8) = 2(8)-1/5
f^-1(8) = 16-1/5
f^-1(8) = 15/5
f^-1(8) = 3
Hence the answer is 3
At one time the aircraft is 200 m above the surface the submarine is 55 m below the surface and the underwater robotic vehicle is 127 m below the surface what is the distance between the submarine and the aircraft
Answer:
The aircraft and the submarine are 255 m apart
Step-by-step explanation:
Here, we want to calculate the distance between the submarine and the aircraft
From the question;
The aircraft is 200 m above the surface and the submarine is 55 m below ( this is same as an altitude of -55)
So the distance between the two will be;
200-(-55) = 255 m
Answer:
255m
Step-by-step explanation:
Nataly collects stickers. Her grandma gave her 64 cat stickers for her birthday. If she set
aside 4 pages for her cat stickers and wants the same amount of stickers on each, how
many stickers will Nataly put on each page?
16
20
18
14
PLS HELP
Answer:
16
Step-by-step explanation:
16 x 4 = 64
Nataly will have to put 16 cat stickers on each page.
Marvin drew a scale drawing of a house. He used the scale 7 centimeters = 1 meter. What is the drawing's scale factor?
What is 7 1/2 x 3 1/3=?
Answer:
21 1/6
Step-by-step explanation:
1. Multiply the whole numbers first.
7 x 3 = 21.
2. Multiply the two fractions.
When multiplying fractions, you multiply the two numerators and then the denominators.
1 x 1 = 1
2 x 3 = 6
3. Your answer is 21 1/6
can anyone turn 3.25x+6.50y=520 into slope intercept form? pls!
Answer:
y=-1/2x+80
Step-by-step explanation:
Answer:
y = 1/2 + 80
I just divided the whole sequence by 6.50, so that y could end as 1y = etc.
solve y= 2x^2 + 4x + 1 by quadratic factoring
Solve the rational equation by combining expressions and isolating the variable y (solve for y). So, nothing further can be done with this topic:
Answer: y=2x^2+4x+1
Answer:
five and thirty eight thousandths
ect the statement that best describes a rational number when expressed as a decimal.
A rational number in decimal form has both a positive and negative solution.
A rational number in decimal form will never terminate or repeat.
A rational number in decimal form will always be positive.
A rational number in decimal form either terminates or repeats.
The statement that best describes a rational number when expressed as a decimal is a rational number in decimal form either terminates or repeats.
What is a rational number?
A rational number is a number that can be expressed as a fraction of two integers. Examples of rational numbers are 1, 1/2 and 0.1.
A decimal is a non-integer that is made up of a whole number and non-integers. The whole number and the integers are separated by a decimal point. Examples of decimals are 0.3, 1.5.
A terminating decimal a decimal which can be expressed as a finite number of figures. A repeating decimal is a decimal that has a digit that repeat without ending.
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4321.58
Lucy wrote another number in which the value of the digit 5 is 10 times larger than it is in Ethan’s number. Which number could be Lucy’s number?
4982.58 (a)
4945.82 (b)
4974.65 (c)
4958.03 (d)
Answer:
a
Step-by-step explanation:bbbbbbb
A fitness club offers 2 payment plans. For Plan A, they charge $80 plus $10 per month for a membership. For plan B, they charge $20 per month
Answer:
Let x equal number of months
Plan A: 10x+80
Plan B: 20x
Step-by-step explanation:
Hope this helps you :) Have a good day
Someone please help me out! I’m too lost pls thank you so much :( pls don’t ignore
Answer:
its abcd
this is the answer because its asking you for the pattern
hope i helped, TRUST ME ITS RIGHT
Ayden is Buyingbagel for a family Gathering. Each bagel cost $2.00 Answer the question Regarding the relationship between the total cost and the number of bagels purchased. The independent variable represents the Total cost Number of bagels purchased $2 F(x)=2x
Answer:
$4
Step-by-step explanation:
Step one:
given data
Each bagel cost $2.00
Also, the cost function is given as
[tex]F(x)=2x[/tex]
Step two:
Required
The total cost of bagels purchased
From the cost function, we can see already that Ayden Bought 2 Bagel, hence if one bagel cost $2 then
[tex]F(x)=2(2)\\\\F(x)=4[/tex]
The two bagels will cost $4