Answer:
x= -15
y= -3
x/y
=-15/-3
=5
option A is correct
WILL GIVE BRAINLIEST IF YOU GIVE AN EXPLANATION. In the packaging part of a warehouse, boxes of blue cups must be moved from the staging area located at an origination point along a conveyor belt described by a vector with components ⟨6, 30⟩. If boxes of red cups are moved 2.5 times the distance along the same belt, which describes the vector that shows the path of the boxes of red cups? Round the magnitude to the nearest whole number if necessary.
Answer:
components: ⟨15, 75⟩, magnitude: about 76
I got this right edge 2020
Component: (15, 75), magnitude about 76 is our correct answer.
Boxes of blue cups moving along a conveyor belt are described by a vector with components (6, 30).
Boxes of red cups are moving along the same conveyor belt but 2.5 times the distance blue cups moved.
We need to find the vector that describes the boxes of red cups and the magnitude of this vector.
What is a vector?A vector is a quantity that has magnitude and direction denoted by:
[tex]V = (V_x, V_y)\\\\Where~~V_x = Vcos\theta~~and~~V_y = Vsin\thetaV_x ~and~V_y~are~ its~ components.[/tex]
Its magnitude is given by:
[tex]|V| = \sqrt{V_x+V_y}[/tex]
Since boxes of red cups move 2.5 times the distance along the same belt as blue cups moved.
We can describe the vector that shows the path of the boxes of red cups as:
= 2.5 x (6, 30)
= ( 2.5x6, 2.5x30 )
= ( 15, 75 )
The magnitude of the vector ( 15, 75 ) is:
[tex]|V| = \sqrt{15^2+75^2}\\\\|V| = \sqrt{225+5625}\\\\|V| = \sqrt{5850}\\\\|V| = 76.48\\\\|V| = 76[/tex]
Rounding 76.48 to its nearest whole number we get,76.
Thus, we have the required vector along with its component as (15, 75) and the magnitude about 76.
Learn more about finding the magnitude of a Vector here:
https://brainly.com/question/13220327?referrer=searchResults
#SPJ2
-5x + (-2) = -2x + 4
Answer:
x = -2
Step-by-step explanation:
You want to add 2x on both sides to get to this equation -3x - 2 = 4 with the -2 being negative due to having a positive and a negative sign turning into a negative number. Add 2 on both sides to get -3x = 6. Divide -3 on both sides to get your final answer or as your x value which is -2.
Answer:
Step-by-step explanation:
-5x - 2 = -2x + 4
-3x - 2 = 4
-3x = 6
x = -2
12. Your family attends a comic convention. Each autograph costs
$20 and each photograph costs $50. Your family buys a total of
5 autographs and photographs for $160. How many photographs
does your family buy?
Answer:
2 photographs
Step-by-step explanation:
Mark as Brainliest.
Because I am Indian and solving your question from India.
Your family buys two photographs at a comic convention.
What is the equation?The equations are defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
Let x be the number of autographs and y be the number of photographs. We know that:
x + y = 5 (the total number of autographs and photographs)
20x + 50y = 160 (the total cost of the autographs and photographs)
We are looking for the number of photographs (y) that your family buys.
We can use the first equation to solve for x in terms of y:
x = 5 - y
Then we can substitute this expression for x into the second equation:
20(5 - y) + 50y = 160
100 - 20y + 50y = 160
50y = 60
y = 12/5
y = 2.4
Since the number of photographs has to be a whole number, we can see that your family buys 2 photographs.
Learn more about the equations here:
brainly.com/question/10413253
#SPJ5
I WILL MARK BRAINLIEST
Can someone help me pls
Answer:
D
Step-by-step explanation:
Answer:
That’s prolly D
Step-by-step explanation:
Other stuff don’t make sense
Find the maximum walking speed of giraffe with leges 6.03 feet long
Answer:
13.89 ft/s
Step-by-step explanation:
We know that the cheetah is the fastest land animal on Earth, but what if it were not allowed to run? Biologists model maximum walking speed by the equation = √, where g is the acceleration due to gravity (9.8 m/s2 or 32 ft/s2) and L is the length of the leg (in metric or standard units). In the situations below, use this information to answer the questions.
(Hint: It will be useful to know 1 m = 3.23 ft for conversions)
1. Find the maximum walking speed of a giraffe with legs 6.03 feet long.
Solution:
Speed is the ratio of the total distance travelled to the time taken to reach this distance. Speed is given by the formula:
Speed = distance / time
Given that the maximum walking speed (s) is given by the equation:
= √, where g is the acceleration due to gravity (9.8 m/s² or 32 ft/s²) and L is the length of the leg (in metric or standard units).
The giraffe has a length of leg (L) of 6.03 feet, hence:
s = √(32 ft/s² * 6.03 ft)
s = √192.96
s = 13.89 ft/s
Evan is going to invest in an account paying an interest rate of 5.4% compounded continuously. How much would Evan need to invest, to the nearest dollar, for the value of the account to reach $1,360 in 12 years?
answer: 711
711.403641819=P
On solving the provided question, we can say that - the value of the simple interest will be $ 881.28.
What is interest ?Multiplying the principal by the interest rate, time, and other factors yields simple interest. Simple return equals principle times interest times hours is the marketed formula. It is easiest to compute interest using this formula. A percentage of the principle balance is how interest is most commonly computed. The interest rate on the loan is known as this percentage.
here,
we have
P = 1360;
R = 5.4 ;
T = 12
so, we get,
SI = 1360 X 5.4 X 12 /100
SI =88128/100
= 881.28
Hence, On solving the provided question, we can say that - the value of the simple interest will be $ 881.28.
To know more about interest visit:
brainly.com/question/28792777
#SPJ3
i cant figure out how to do this question plz help!
Answer:
[tex] slope (m) = \frac{1 - (-5)}{2 - (-1)} [/tex]
[tex] = \frac{1 + 5}{2 + 1} [/tex]
[tex] = \frac{6}{3} = 2 [/tex]
Step-by-step explanation:
Find the slope (m) using the two points given, (-1, -5) and (2, 1):
[tex] slope (m) = \frac{rise}{run} = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Let,
[tex] (-1, -5) = (x_1, y_1) [/tex]
[tex] (2, 1) = (x_2, y_2) [/tex]
Plug in the values into the equation:
[tex] slope (m) = \frac{1 - (-5)}{2 - (-1)} [/tex]
[tex] = \frac{1 + 5}{2 + 1} [/tex]
[tex] = \frac{6}{3} = 2 [/tex]
[tex]{x}^{18}={y}^{21}={z}^{28}[/tex]
3, [tex]3 log_y x [/tex], [tex]3 log_z y [/tex] and [tex]7 log_x z [/tex] are in?
[tex]{x}^{18}={y}^{21}={z}^{28}[/tex]
3, [tex]3 log_y x [/tex], [tex]3 log_z y [/tex] and [tex]7 log_x z [/tex] are in??
[tex]\large\bold{\underline{\underline{Answer:-}}}[/tex]The Series in AP.[tex]\large\bold{\underline{\underline{Explanation:-}}}[/tex][tex]{x}^{18}={y}^{21}={z}^{28} [/tex]
[tex]{x}^{18}={y}^{21}[/tex]
By taking LOG on both sides
[tex]log {x}^{18}=log {y}^{21} [/tex]
[tex]18 log x= 21 log y[/tex]
[tex]2 \ times 3 log x= 7 log y[/tex]
[tex] 3 \dfrac{log x}{log y} =\dfrac{7}{2}[/tex]
[tex]\bold{ 3 log_y x =\dfrac{7}{2}}[/tex]
Now,[tex]{x}^{18}={z}^{28} [/tex]
By taking LOG on both sides
[tex]log {x}^{18}=log {z}^{28} [/tex]
[tex]18 log x =28 log z [/tex]
[tex] 9 log x =7 \times 2 log z [/tex]
[tex] 7\dfrac{log z}{log x} = \dfrac{9}{2}[/tex]
[tex]\bold{7 log_x z= \dfrac{9}{2}}[/tex]
Now,[tex]{y}^{21}={z}^{28} [/tex]
By taking LOG on both sides
[tex]log {y}^{21}=log {z}^{28} [/tex]
[tex]21 log y=28 log z [/tex]
[tex] 3 log y = 4 log z [/tex]
[tex]3 \dfrac{ log y}{logz }= 4 [/tex]
[tex]\bold{ 3 log_z y = 4 }[/tex]
According to the question:-3, [tex]3 log_y x [/tex], [tex]3 log_z y [/tex] and [tex]7 log_x z [/tex] are ...in??
we have,[tex]\bold{ 3 log_y x =\dfrac{7}{2}}[/tex]
[tex]\bold{7 log_x z= \dfrac{9}{2}}[/tex]
[tex]\bold{ 3 log_z y = 4 }[/tex]
The series is,[tex]3 , \: \dfrac{7}{2 } , \: 4 , \: \dfrac{9}{2}[/tex]
Here,[tex]a_1 = 3 [/tex]
[tex]a_2 = \dfrac{7}{2 } [/tex]
[tex]a_3 = 4 [/tex]
[tex]a_2 = \dfrac{7}{2 } [/tex]
Let, us find common difference[tex]d \implies a_2 - a_1 = = a_3-a_2 [/tex]
[tex]d \implies 2 a_2 = a_3+a_1 [/tex]
[tex]d \implies 2 \times \dfrac{7}{2}= 7 [/tex]
[tex]d \implies 7 = 7 [/tex]
Since, common difference is equal!The series is in AP.Today a 9 friends went out for lunch. Their total bill was 55.09, including tax and gratuity. One of them ordered only soda and needed to pay only $1.25. The other 8 friends ordered the same daily special. How much did each of the other friends need to pay
Answer:
6.73
Step-by-step explanation:
55.09-1.25= 53.84
53.84/8=6.73
what 3x(a-12)=???????
3ax-36x is the correct answer.
Hope it helps!
In this diagram, mZACD = [ ? 1°
answer this please !!
Answer and work in the picture above
Simplify the expression (22+19b) +7
Answer:
there is no multiplication, so just 29+ 19b
Answer: i solved it for you, but all you have to do is add this 19b + 29
Step-by-step explanation:
I really hope this helps!! Have an amazing day!! :)
Ms. Mosher recorded the math test scores of six
students in the table below.
Student
Student
Score
72
Andrew
John
80
85
George
Amber
93
78
Betty
Roberto
80
Determine the mean of the student scores, to the
nearest tenth. Determine the median of the student
scores. Describe the effect on the mean and the
median if Ms. Mosher adds 5 bonus points to each
of the six students' scores.
Estimate a 15% tip for each bill shown.
a. $57.80
_______
b. $122.46
_______
Answer:
a. $57.80
$66.47
b. $122.46
$140.829
Step-by-step explanation:
¿Con qué número se debe empezar a enseñar?
Answer:
numero 0
Step-by-step explanation:
Porque es cero
Answer:
With what number to start teaching?
Step-by-step explanation:
I like 3, 5, and 7
PLEASE OF YOU CAN SHOW THE WORK:
The accompanying diagram shows a flagpole that stands on level ground. Two cables, r and s, are attached to a pole at a point 20 feet above the ground. The combine length of the two cables is 70 feet. If cable r is attached to the ground 8 feet from the base of the pole, what is the measure of the angle, x, to the nearest degree, that cable s makes with the ground? N = 20 ft S 8 t
Answer:
[tex]x\approx24^\circ[/tex]
Step-by-step explanation:
We know that r and s have a combined length of 70. Therefore:
[tex]r+s=70[/tex]
Notice that we can determine r by using the Pythagorean Theorem. In this case, r is the hypotenuse, and 20 and 8 are the legs. Therefore:
[tex]a^2+b^2=c^2[/tex]
Substituting 20 and 8 for a and b and r for c yields:
[tex]20^2+8^2=r^2[/tex]
Compute:
[tex]464=r^2[/tex]
Therefore:
[tex]r=\sqrt{464}=\sqrt{16\cdot 29}=4\sqrt{29}[/tex]
Now, we can determine s. We know that:
[tex]s+r=70[/tex]
So, by substitution:
[tex]s+4\sqrt{29}=70[/tex]
Therefore:
[tex]s=70-4\sqrt{29}[/tex]
Now, notice that, with respect to x, 20 is the opposite side and s is the hypotenuse.
Therefore, we can use the sine ratio. The sine ratio is the ratio between a right triangles opposite side to its hypotenuse.
In this case, the opposite to x is 20, and the hypotenuse is s, or 70-4√29. Therefore:
[tex]\displaystyle \sin(x^\circ)=\frac{20}{s}[/tex]
By substitution:
[tex]\displaystyle \sin(x^\circ)=\frac{20}{70-4\sqrt{29}}[/tex]
Take the inverse sine of both sides:
[tex]\displaystyle x^\circ=\sin^{-1}\Big(\frac{20}{70-4 \sqrt{29}} \Big)[/tex]
Use a calculator. Therefore:
[tex]x\approx24.37^\circ\approx24^\circ[/tex]
Edmond goes to the doctor for a check-up. When he gets home, he tells his mother that he weighs 1,360 ounces and is 62 inches tall. What is Edmond's height and weight in feet and pounds, respectively?
Answer:
113.3 pounds
5.17 ft
Step-by-step explanation:
Step one:
given data
weighs 1,360 ounces and is
Height = 62 inches tall.
Required:
We are expected to perform unit conversion
from ounces to pounds
and from inches to feet
Step two:
1 pound is 16 ounces
x pound is 1360 ounces
cross multiply
16x= 1360
x= 1360/16
x= 113.3 pounds
Step three
1 inches is 0.0833333ft
62 inches is x ft
cross multiply
x= 5.17 ft
Help, please!!
David bought 3.5 pounds of potatoes for $0.82 per pound. How much did David spend on potatoes?
Answer:
He spend $4.27 i guess
Step-by-step explanation:
prove me wrong
4a⁴b(2b³)‐²
------------------
6a³
Answer:
A
Step-by-step explanation:
A grain silo is in the shape of a cylinder with a hemisphere top. They cylinder is 20 feet tall. The volume of the silo is 2106 cubic feet. Find the radius of the silo.
Answer:
The radius of the silo is 5.788 feet.
Step-by-step explanation:
Since the silo has the shape of a cylinder, then;
Volume of the silo = Volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h
Where: r is the radius of the silo, and h is the height.
Given that: volume = 2106 cubic feet, and height = 20 feet.
Then,
2106 = [tex]\frac{22}{7}[/tex] x [tex]r^{2}[/tex] x 20
2106 = [tex]\frac{440}{7}[/tex][tex]r^{2}[/tex]
2106 x 7 = 440[tex]r^{2}[/tex]
14742 = 440[tex]r^{2}[/tex]
[tex]r^{2}[/tex] = [tex]\frac{14742}{440}[/tex]
[tex]r^{2}[/tex] = 33.5045
⇒ r = [tex]\sqrt{33.5045}[/tex]
= 5.78831
r = 5.788 feet
The radius of the silo is 5.788 feet.
A third grade teacher has 20 students in her class. Fifteen of the students are girls and five are boys. What is the ratio of girls to boys in the third grade class?
Answer:
15 : 5 = 3 : 1
Step-by-step explanation:
HURRY PLS
Which graph represents the solution set for the compound inequality below?
-x+ 10 27
x-10 2 7
+
789 10 11 12 13 4 s 6
789 10 11 12 13 14 15 16 17
0
6 8 10 12 14 16 18 20
0 24 68 10 12 14 16 18 20
Answer:
hi
Step-by-step explanation:
i think it is C and sure
math for 3rd grade plz help
Answer:
18 r2
Step-by-step explanation:
Answer:
59
Step-by-step explanation:
for the first answere
Factor the expression using the GCF.
7+14 =
Answer:
Step-by-step explanation:
So it’s 201
A boat travels 21 miles due north and then 28 miles due east.Then the boat travels in a straight line back to its starting point.Solve to find the straight line distance of the boat to its starting point.
A.28 miles
B.33 miles
C.35 miles
D.49 miles
When the boat headed 21 miles north then 28 miles to the east then back to its starting point, it formed a right angle triangle. And that straight line the question is talking about is the hypotenuse.
Use the Pythagorean Theorem to solve for hypotenuse.
The Pythagorean Theorem states that for any right triangle the following is true: when you take the sum of both of the legs squared it will equal to the hypotenuse squared.
In equation form: a^2+b^2=b^2
Where the variables a and b are the legs. And the variable c is the hypotenuse.
Plug in the values.
21^2 + 28^2 = c^2
441 + 784 = c^2
1225 = c^2
35 = c
So, the straight line is 35 miles long.
Can you help me out with both of these pls
Bag A has 20% more red balls than bag
B. If 5 red balls were transferred from
bag A to bag B, there will be the same
number of red balls in the two bags. How
many red balls were initially in the bag
B?
Answer:
50
Step-by-step explanation:
Let a = number of balls in bag A.
Let b = number of balls in bag B.
a = 1.2b
a - 5 = b + 5
1.2b - 5 = b + 5
0.2b = 10
b = 50
Answer: 50
Answer: the answer is 50
Step-by-step explanation:
Juana went shopping with $ 50 and spent $ 45. What percentage of her money did she spend?
Answer: 90%
Step-by-step explanation:
Answer:
90%
Step-by-step explanation:
In order to find the percentage of the money Juana spent while shopping, you must take the amount of money spent and divide it by the total amount of money.
$45 dollars spent divided by $50 dollars total will give you your fraction, in decimals:
45 / 50 = 0.90
Multiply by 100% to find your percentage
0.90 * 100% = 90.0%
< Back to Content
4
Use the graph that shows the solution to f(x) = g(x).
f(x) = - *x² + 3x + 1
g(x) = x - 1
f(x)
ox)
What is the solution to f (x) = g(x)?
4
-3-2
x = 0
x = 2
f(x)
3
2
g(x)
2
Answer:
x = 4
Step-by-step explanation:
Both A and B are similar
We have no problems with f(x) as it is similar on both plots
A graph of g(x) however shows that it is the second plot that is correct
Thus,
To get the solution , we need the point at which both graphs crosses each other
we can see this at the point x = 4 and thus that is our solution