Answer:
d^2 -9
Step-by-step explanation:
Two forces of 17.3 pounds and 42.5 pounds act on a body with an angle of 21.9 degrees between them. The force of 42.5 pounds acts on the body in the horizontal direction. Choose the correct approximation for the direction angle the resultant vector makes with the horizontal force.
a. 6.3
b. 21.9
c. 15.7
d. 10.9
The resultant vector makes a 6.3-degree angle with the horizontal force, the correct option is A.
What is the formula for determination of angle of the resultant vector ?The resultant angle between the vectors is given by
[tex]\rm \theta = tan^{-1} \dfrac{B sin\theta}{A +B cos\theta}[/tex]
The two forces have magnitude of 17.3 and 42.5 pounds.
The angle of the resultant vector is
[tex]\rm \rm \theta = tan^{-1} \dfrac{17.3\; sin\; 21.9}{42.5 +17.3 cos\;21.9}[/tex]
[tex]\rm \theta = tan^{-1}[/tex] (6.453/58.55)
[tex]\rm \theta[/tex] = 6.2886 degree = 6.3 degree.
Therefore, the resultant vector makes a 6.3-degree angle with the horizontal force.
To know more about Resultant vector angle
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Answer:
6.3 on edge
Step-by-step explanation:
Find the value of the following expression
(2^8 5^-5 19^0) x [5^-2 over 2^3]^4 x 2^28 (5 points)
Write your answer in simplified form. Show all of your steps. (5 points)
Looks like the expression is
(2⁸ • 5⁻⁵ • 19⁰) • (5⁻² / 2³)⁴ • 2²⁸
First, any positive number raised to 0 is 1:
(2⁸ • 5⁻⁵ • 1) • (5⁻² / 2³)⁴ • 2²⁸
(2⁸ • 5⁻⁵) • (5⁻² / 2³)⁴ • 2²⁸
Exponents in a denominator can be rewritten as negative exponents in the numerator:
(2⁸ • 5⁻⁵) • (5⁻² • 2⁻³)⁴ • 2²⁸
Distribute the 4th power across the product 5⁻² • 2⁻³ :
(5⁻² • 2⁻³)⁴ = 5⁻⁸ • 2⁻¹²
so we have
(2⁸ • 5⁻⁵) • (5⁻⁸ • 2⁻¹²) • 2²⁸
Multiplication is associative, so we can ignore the parentheses. Combine factors with equal bases and simplify the exponents:
2⁸ • 5⁻⁵ • 5⁻⁸ • 2⁻¹² • 2²⁸
2⁸⁻¹²⁺²⁸ • 5⁻⁵⁻⁸
2²⁴ • 5⁻¹³
Rewrite the negative exponent as a positive one:
2²⁴ / 5¹³
Two different grocery stores are having a special on cereal:
HEB is selling 3 boxes of cereal for $4.29
Walmart is selling 2 boxes of cereal for $2.94.
Which grocery store has the cheaper price per box?
Answer: HEB
Step-by-step explanation:
Please help me with this
Step-by-step explanation:
3/4 x 11/11 = 44
7/12 x 5/5 = 35/60
18/72 = 6/6 x 3/12
Topic: Fractions
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
r(x) = -4x² + 5x1
r(-3) =?
Answer:
therefore when x = -3, r(x) = -51
Step-by-step explanation:
This is a function of r(x), so when it says r(-3), the x value is -3, so we have to find the value of r(x) when x=-3.
just plug in the x value in to the given equation
r(-3) = [tex]-4(-3)^{2}[/tex]+5(-3)
r(-3) = -4(9)+5(-3)
r(-3) = -36+-15
r(-3) = -51
therefore when x = -3, r(x) = -51
Answer: r(x) = -51
If the 1 is not a +1 or a -1
It is very unusual to have a 1 in that position.
Step-by-step explanation:
Substitute the value given (-3) in place of x, and evaluate the function.
r(-3) = -4(-3)² + 5(-3)
r(-3) = -4(9) - 15
r(-3) = -36 -15
r(-3) = -51
Solve by substitution
-X-4y=8
x+4y=-1
Answer:
Your answer is: No solution
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Step-by-step explanation:
Hope this helped : )
A notebook, a pencil case, and a calculator weigh 600 grams total. The notebook weighs 240 grams and the calculator weighs 265 grams. How much does the pencil case weigh?
Answer: 95 grams
Step-by-step explanation:
Add the notebook weight and the calculator weight. 240 + 265 = 505 now subtract 505 from 600. That equals 95
what is the sum of all positive integer cubes that are less than 100
Step-by-step explanation:
2^3=8
3^3=27
4^3=64
so if you add all the positive integer cubes it will be 8+27+64=99
hence 99 is less than 100
Hence solved.
what is the equation for f(x)= |x| shifted to the right 3 units and Shifted down 4 units.
Answer:
The equation for f(x)=|x| if it is what is the equation for f(x)= |x| shifted to the right 3 units and Shifted down 4 units is f(x)=|x-3|-4
Step-by-step explanation:
We need to write equation for f(x)=|x| if it is what is the equation for f(x)= |x| shifted to the right 3 units and Shifted down 4 units.
When the graph is shifted towards right h units the equation becomes f(x)=(x-h) using it for our scenario:
If x is shifted right 3 units it will become f(x)=|x-3|
When the graph is shifted down h units the equation becomes f(x)=x-h using it for our scenario:
and Shifted down 4 units the equation will become: f(x)=|x-3|-4
So, the equation for f(x)=|x| if it is what is the equation for f(x)= |x| shifted to the right 3 units and Shifted down 4 units is f(x)=|x-3|-4
I need the answers by midnight helppp
Answer:
What's the question you have
Step-by-step explanation:
Answer:
what are the questions on it say
Step-by-step explanation:
Which function has a domain of all real numbers?
A. y=-x½+5 B. y=(2x)⅓-7 C. y=(x+2)¼ D. y=-2(3x)⅙?
Answer:
B.
Step-by-step explanation:
B. Because the others have exponents whose denominators are even so the results of , for example x^1/2, if x is negative is not defined.
For example:
For A, when x is -4, (-4)^1/2 is not real.
For B, when x = -4, (2*-4)^ 1/3 = -8^(1/3) = = -2.
Answer:
Step-by-step explanation:
For all Plato users
6/5 58.9% 1.77 0.169 =
Order from least to greastest
The answer fam is.........
0.169
58.9%
1.77
6/5
PLEASE HELP ME! THANK YOU!!
At a local department store, jeans typically cost $20. However, due to a special, the jeans are reduced to $14. What percent of the original price have the jeans been reduced to?
Answer:
25%
Step-by-step explanation:
13. Jonas is riding his bicycle at 18 kilometers per hour, and he has already ridden for 40 kilometers. (6, 148)
Answer:
Step-by-step explanation:
40 / 18
= 2.22 hours
Please help! I will give brainlist, if I can
your awnser is C
Step-by-step explanation:
cause you'll need to multiply 1.05 × 15 then divide by 100
A cyclist travels 12 km from home to the park.
She leaves home at 13:00 and arrives at the park at 13:30.
What is her average speed in km/h?
Answer:
Step-by-step explanation:
12 km to the park in 30 mins so multiply the 12 km by 2 to make a whole hour.
12*2= 24 km/h
Please help i don’t understand
Is that everything for the problem??
||-//
What is the slope and y-intercept of the function:
y=9x
Answer:
slope= 9
y-intercept= 0
Step-by-step explanation:
Because 9 is in the m spot and bis 0
4 ( y+2 ) = 2( y+4 )
Answer:
y=0
Step-by-step explanation:
8=8
Kristen is trying to finish 1/2 of her test every 2/3 hour. How many hours will it take Kristen to complete her whole test?
Answer:
4/3
Step-by-step explanation:
i
4
(4, 3))
2
4 x
(1, -1)
The slope is positive v
Find the slope.
Answer:
the slope is 4/3
Step-by-step explanation:
so the equation of your problem would be y=4/3x-2
-2 is your y-intercept (or your b)
pls vote brainliest tyyy <3
a² + b -c for a = 2 b = (-9) c = 4
Answer:
-9
Step-by-step explanation:
4+(-9)-4
4+(-13)
-9
Answer:
-9
4 + -9 - 4
4 + -9 + -4
4 + -13 = -9
What is x in 7-onethirdx =11
Answer:
[tex]\frac{-1}{3} x = 11-7\\\\\frac{-1}{3} x = 4\\\\-1x = 4*3\\-1x = 12\\\\x = -12[/tex]
help me thanks . please
Answer:
0.1 > 10^-2
(I'm pretty sure I'm right. sorry if im wrong :(
Camila Cabello wants to order cheesecakes over the internet. Each cheesecake costs $15.99 and shipping for the entire order is
$9.99. Camila has no more than $100 to spend. Choose the statement that best describes how many she can purchase.
She can purchase no more than 6 cheesecakes.
She can purchase no more than 5 cheesecakes.
She can purchase 6 cheesecakes.
She can purchase 5 cheesecakes.
She can purchase about 5.6 cheesecakes.
She can purchase at least 6 cheesecakes.
She can purchase at least 5 cheesecakes.
Answer:
she can purchase 5 cheesecakes
Step-by-step explanation:
15.99*5=79.95
if we add 9.99 for the shipping of thw whole order
79.95+9.99=89.94
4) -4x - 10.2
I need the answer to this question asap please.
Answer: -2.55
Explanation: First add 10.2, and then the equation becomes -4x = 10.2.
Then, you just divide by -4 from both sides of the equation, and you get x = -2.55. :]
Answer:
21 - 4x
Step-by-step explanation:
Multiply 10 and 2 to get 20.
41 - 4x - 20
Subtract 20 from 41 to get 21.
21 - 4x
David mixes 2 liters of lemon juice with 9 liters of water to make lemonade. Which ratio of liters of lemon juice to liters of water will make the same concentration of lemonade?
F: 3 : 10
G: 10 : 72
H: 14 : 63
J: 27 : 6
Answer:
J
Step-by-step explanation:
Divide. Round your answer to the nearest tenth.
39,527 = 7
HELPPP MEEEE
Answer:
3,266.53
Rounded to the nearest 0.01 or
the Hundredths Place.
Step-by-step explanation:
could use some help.
35−x=8
Two-Step Equations and Properties of Equality
Answer:x=27
Step-by-step explanation:
First rearrange the terms: x+35=8
Second subtract 35 from either side:
-x=-27
Third divide both sides of the equation by the same term:
-x/1=-27/1
Fifth simplify:
X=27
Hope this helps!