Answer:
What is the magnitude and direction of the PQ−→− with tail and head points P(-6, 0) and Q(2, 4)? magnitude = √(64+16) = √80 = appr 8.9 , ruling out c.
hope this helps
The magnitude of PQ is 8.9 and PQ is making an angle of 26.57° so 8.9 units, 26.6° north of east will be the correct answer.
What is a vector?A vector is a quantity in which direction and magnitude both matters called a vector.
A vector joining by two points (x₁,y₁) and (x₂,y₂) will be (x₂-x₁)[tex]\hat{i}[/tex] + (y₂-y₁)[tex]\hat{j}[/tex]
The magnitude of this vector will be
[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
The direction of this vector will be
[tex]\\tan^{-1}(\frac{y_2-y_1}{x_2-x_1)}[/tex]
Given P(-6,0) and Q(2,4) so vector joining by
[tex]\vec{PQ}[/tex] = [2-(-6)][tex]\vec{i}[/tex] + [4-0][tex]\vec{j}[/tex]
[tex]\vec{PQ}[/tex] = 8[tex]\vec{i}[/tex] + 4[tex]\vec{j}[/tex]
now, the magnitude [tex]\vec{PQ}[/tex] will be
⇒ [tex]\sqrt{(8^2+4^2)}[/tex]
⇒ 8.944
The direction of the vector [tex]\vec{PQ}[/tex] will be
⇒ [tex]\tan^{-1}(\frac{4}{8})[/tex]
⇒26.57°
So, the magnitude of PQ is around 8.944 and the direction is 26.57° from the positive x axis so it's north of the east.
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HELP PLEASEEE!!!!!!! The population in Smalltown in 2010 was 56,382 people and is growing exponentially at a rate of 1.2 percent. Which of the following equations defines the population t years after 2010?
a. P= 56,382(1+0.12)^t
b. P= 56,382(1+0.012)^t
c. P= 56,382e^0.012t
d. P= 56382e^1.2t
Answer:
b. P = 56,382(1+0.012)^t
The equation that defines the population in Smalltown t years after 2010 is [tex]P = 56,382(1 + 0.012)^t[/tex]
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
The population P after 2010 is an exponential growth function of the form:
[tex]P = P_{0} (1 + r)^t[/tex]
where P₀ is the initial population,
r is the annual growth rate as a decimal, and
t is the time in years.
Byu given information P₀ = 56,382,
r = 0.012, and
t is the number of years after 2010.
The equation that defines the population in Smalltown t years after 2010 is:
[tex]P = 56,382(1 + 0.012)^t[/tex]
Hence, equation that defines the population in Smalltown t years after 2010 is [tex]P = 56,382(1 + 0.012)^t[/tex]
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What is the volume of this sphere?
Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
3,052.08 cm^3
Step-by-step explanation:
Here, we want to find the volume of the sphere
We have the formula as;
V = 4/3 * pi * r^3
The radius is 9 cm
V = 4/3 * 3.14 * 9^3
V = 3,052.08 cm^3
Answer:
113.04
Step-by-step explanation:
can someone please help me what’s the answer
Answer:
1,5Step-by-step explanation:
Answer:
Slope: 4
Step-by-step explanation:
I gave you the slope of the graph. The slope is rise/run. The rise is 4, and the run is 1. So you get 4/1 or 4. The graph is positive because the line rises left to right.
Hope it helps!
,
3*. PQRS is an isosceles trapezium
I(PQ) = 7 cm. seg PM 1 seg SR,
I(SM) = 3 cm,
Distance between two parallel
sides is 4 cm, find the area of
PQRS
Answer:
10 cm is your answer right answer
WILL MARK BRAINLIST!!!!!!!!!!!!!!!!!
Answer:
184
Step-by-step explanation:
f(-9) means find the value of the function when x = -9, so substitute -9 into the function and solve:
3(-9)^2 + 5(-9) - 14
3(81) + 5(-9) - 14
3(81) + (-45) - 14
243 - 45 - 14
184
A bookstore sells art books for $25 each. There are 16 books at the store. Identify the graph that represents this situation.
Step-by-step explanation:
I believe its the one on the top of the second picture because if there is only 16 books they can sell then thats the only one that makes sence hope this helped
Graph third represents the situation if a bookstore sells art books for $25 each. There are 16 books at the store option (C) is correct.
What is linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
A bookstore sells art books for $25 each. There are 16 books at the store.
Let x be the total number of books sold and y be the total amount earned:
The linear equation can be framed as follows:
y = 25x
After plotting the graph of the above linear equation we will get a graph exactly the same as mentioned in the graph third.
Thus, the graph third represents the situation if a bookstore sells art books for $25 each. There are 16 books at the store option (C) is correct.
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000_7th Math 2020-2021 Spring Benchmark
COLOR THEME
e Q ZOOM
35. The distance between two cities on a map is 3.5 centimeters. The map uses a scale
in which 1 centimeter represents 20 kilometers. What is the actual distance
between these two cities in kilometers?
Answer:
The distance between two cities is 70 km.
Step-by-step explanation:
Given that,
The distance between two cities on a map is 3.5 centimeters.
It is also mentioned that the map uses a scale in which 1 centimeter represents 20 kilometers.
We need to find the actual distance between these two cities in kilometers.
1 cm = 20 km
3.5 cm = (3.5 × 20) km
= 70 km
Hence, the distance between two cities is 70 km.
Graph the equation
y = -x + 3
Answer:
Step-by-step explanation:
this is an arrangement of data, usually in rows or column's.it is called___?
Answer:
Table
Step-by-step explanation:
A table is an arrangement of data in rows and columns, or possibly in a more complex structure.
What is 5^5 evaluated or to make it easier to understand if you don't know what 5^5 is then it means what is 5 to the power of 5 evaluated?
6th GRADE MATH
Answer:
3125
Step-by-step explanation:
5 x 5 x 5 x 5 x 5
25 x 5 x 5 x 5
125 x 5 x 5
625 x 5
3125
Answer:
3125 hope this helps you
yeah uhh i have to put something in order to ask this question so heyyy
Answer:
56 is the answer
Step-by-step explanation:
bcz sum is equal to 90
hence 90-34 = 56
PLEASE HELP !!!!!!!!!! What is mzABC?
Answer:160
Step-by-step explanation:
Answer:
60 degrees
Step-by-step explanation:
Angle ABC is 135 (the exterior angle of ACB) minus angle BAC so
135-75 = 60
Simplify the expression below 12 divided by (2+1)
Answer:
12 divide by 2+1
2+1=3 so
12/3
4
Sydney bought 3 bottles of glitter each bottle of glitter cost $6 how much did Sydney spend on the bottles of glitter
Answer:
Sydney spent $18 dollars on glitter.
Step-by-step explanation:
3 x 6 = 18.
Hope this helped?! ♥
5. Adele believes that 0.462 is written as "four tenths, sixty-two hundredths." Is she correct? Explain your answer. *
2 points
Your answer
Answer:
Adele is incorrect
It's four tenths, six hundredths and 2 thousandths.
I think.
Please correct me if I'm wrong
Step-by-step explanation:
Cars with ABS or anti-lock brakes do not leave skid marks.
O
A. True
B. False
Cars with ABS or anti-lock brakes do not leave skid marks is a false statement.
What are Automobiles?Four-wheeled vehicle designed primarily for passenger transportation and commonly propelled by an internal-combustion engine using a volatile fuel.
Cars with ABS or anti-lock brakes are designed to prevent skidding during sudden braking.
However, it is not entirely true that they do not leave skid marks.
Skid marks can still be present, especially in certain situations such as emergency braking on a wet or slippery road surface.
ABS helps to prevent the wheels from locking up, which can reduce the length of skid marks, but they may still be present to some extent.
Therefore, it is not accurate to say that cars with ABS or anti-lock brakes do not leave skid marks, so it is false.
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Given log34≈1.262 and log37≈1.771, what is the value of log3(167)?
Enter your answer in the box.
Answer:
0.753
Step-by-step explanation:
I just took the test lol
The value of log₃(⁷/₁₆) when log₃4 = 1.262 and log₃7 = 1.771 is;
log₃(⁷/₁₆) = -0.753
We are given;
log₃4 = 1.262
log₃7 = 1.771
We want to find log₃(⁷/₁₆)
Now, from properties of logarithm too, we have;
logₐ(x/y) = logₐx - logₐy
Thus; log₃(⁷/₁₆) = log₃7 - log₃16
Also, we know that; logₐx² = 2logₐx
Thus; log₃16 = log₃4²
log₃16 = 2log₃4
Thus; log₃(⁷/₁₆) = log₃7 - 2log₃4
Plugging in the relevant values gives;
1.771 - 2(1.262) = -0.753
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what is 2+2+3+4+4+4+4
Answer:
23
Step-by-step explanation:
Answer:
23
Explanation:
hope this helps
Rushi ran 7.35 miles on Monday and 2.29 miles on Tuesday. How many more miles did Rushi run on
Monday than Tuesday?
Answer:
5.06
Step-by-step explanation:
hope this helps!
Justin plans to spend $35 on sports cards. Regular cards cost $4.50 per pack and foil cards cost $6.00 per pack Which inequality shows the relationship between the number of packs of regular cards (r) and the number of packs of foll cards (f) Justin can afford to buy?
Answer:Justin plans to spend $20 on sports cards. Regular cards cost $3.50 per pack and foil cards cost $4.50 per pack
number of packs of regular cards =r and the number of packs of foll cards = f
Cost of Regular card = 3.50
Cost of 'r' packs of regular card = 3.50r
Cost of Foil card = 4.50
Cost of 'f' packs of Foil card = 4.50f
Justin plans to spend $20 on sports cards so the sum of cost of regular and Foil cards should be less than or equal to 20
The inequality becomes
3.50r + 4.50f <= 20
He is ordering the pizzas from a place that has 12 different topping options.
7 options are vegetarian and 5 are meats.
Write the ratio of vegetarian options to the total of options in three different ways
Answer:
7:5, 7/5, 7 to 5
Explanation:
I think you're asking of this?? If not lmk
Jessica and Maria got to the supermarket to buy fruit. Jessica
buys 5 apples and 6 oranges and her total before tax is $3.05.
Maria buys 7 apples and 6 oranges and her total before tax is
$3.55. What is the price of each fruit?
Answer:$0.25 per apple
$0.30 per orange
Step-by-step explanation:
I knowwww iM aMbitious and i helped 126
people
3.(x + 2) + (2x + 3) = 23
Answer:
x = 6
Step-by-step explanation:
(x + 2) + (2x + 3) = 23
Combine like terms
3x +5 = 23
Subtract 5 from each side
3x+5-5 = 23-5
3x = 18
Divide each side by 3
3x/3 = 18/3
x = 6
Answer:
x = 6
Step-by-step explanation:
1. Remove parentheses where unneeded. x + 2 + 2x + 3 = 23
2. Add constants. x + 5 + 2x = 23
3. Combine like terms. 3x + 5 = 23
4. Subtract "5" from the constants on both sides of the equation. 3x = 18
5. Divide both sides by 3. 3x/3 = 18/3
6. Simplify. x = 6
find this ok. do not wrong answers I will report it
Answer:
your answer will be 13/5(x-5)
Step-by-step explanation:
hope it helps bye
Answer: 13 /5x−25
Step-by-step explanation: 8 /5x−25 − 6 /30−6x
-78x+390 /−30x2+300x−750
−13x+65 /−5x^2+50x−125
13(−x+5) /5(−x+5)(x−5)
13 /5x−25
Help please...I'll do anything...
Answer:
Step-by-step explanation:
Here is a formula that can help:
Perry finished a 100-meter race in 7/8 of a minute. The winner of the race used 14/15 of Perry's time to finish the race. How much time did the winner use to finish the race?
Answer:
49 seconds
Step-by-step explanation:
The time perry used is 7/8 of a minute
a minute equals to 60 seconds
so the time perry used is 7/8 x 60 = 52.5 seconds
The winner used 14/15 of 52.5 seconds (perrys time)
so 14/15 x 52.5 = 49 seconds
P, Q, R and S are four points on a circle.
PTR and QTS are straight lines.
Triangle PTS is an equilateral triangle.
Prove that triangle PQR and
triangle SRQ are congruent.
Answer:
The answer is below
Step-by-step explanation:
Given that Triangle PTS has all sides with equal lengths, it is considered is an equilateral triangle.
Similarly, with < TPS and <TSP aare both equilateral triangle because they have equal length.
Therefore, ∆ PQS and ∆ SRP are congruent based on side-angle-side theorem.
Similarly, given the fact that their congruent sides of congruent triangles are congruent, both Segment PQ is congruent to segment SR.
Also, Segment PR is congruent to segment SQ as a result of congruent sides of the congruent triangles are congruent.
Lastly, the ∆ PQR and ∆ SRQ are congruent based on the side-side-side theorem.
A radius of a circle is perpendicular to a chord if and only if it
A. is equal in length to that chord
B. parallels that chord
C. bisects that chord
D. intersects the chord directly on the circumference
Answer:
C. bisects that chord
Step-by-step explanation:
The radius of a circle is perpendicular to a chord if and only if it bisects the chord. Therefore, the option b is correct.
Radius of the circle:In the case when the diameter or the radius should be perpendicular with respect to the chord so it should be bisected the chord also its arc.
At the time when the two chords should be congruent so their corresponding arc should also be congruent.
Therefore, the option b is correct.
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Please help- help me
Answer:
first option
Step-by-step explanation:
What is the volume of this composite solid?
5 m
12m
A. 1188 cubic meters
B. 132 cubic meters
O Ο Ο Ο
C. 864 cubic meters
D. 567 cubic meters
Answer:
The answer is 864 cubic meters
