Answer: y Y/40 should be your answer
Answer:
Y=40
Step-by-step explanation:
40/8=5
Yoku is putting on sunscreen. He uses 2\text{ ml}2 ml2, start text, space, m, l, end text to cover 50\text{ cm}^250 cm 2 50, start text, space, c, m, end text, squared of his skin. He wants to know how many milliliters of sunscreen (c)(c)left parenthesis, c, right parenthesis he needs to cover 325\text{ cm}^2325 cm 2 325, start text, space, c, m, end text, squared of his skin. How many milliliters of sunscreen does Yoku need to cover 325 \text{ cm}^2325 cm 2 325, start text, space, c, m, end text, squared of his skin?
Answer:
13 Millilitres.
Step-by-step explanation:
Yoku uses 2ml to cover [tex]50cm^2[/tex] of his skin.
He wants to know how many millilitres of sunscreen he will need to cover [tex]325cm^2[/tex] of his body.
If Yoku covers [tex]50cm^2[/tex] of his skin will 2ml
He will cover [tex]1cm^2[/tex] of his skin with [tex]\frac{2}{50}ml[/tex] of sunscreen.
Therefore:
To cover [tex]325cm^2[/tex] of his body, he will use:
[tex]\frac{2}{50} X 325 ml\\=13ml[/tex]
he would require 13 Millilitres.
Answer:
13 is the answer!!!
Step-by-step explanation:
12. Raymond is reading a road map. On the map,- inch represents 12 miles. Approximately
how many miles apart are two cities that are 3- inches apart on Raymond's map?
F. 12
G. 48
H. 96
J. 132
168
Answer:
168miles
Corrected question;
12. Raymond is reading a road map. On the map, 1/4- inch represents 12 miles. Approximately
how many miles apart are two cities that are 3 1/2 - inches apart on Raymond's map?
F. 12
G. 48
H. 96
J. 132
K .168
Step-by-step explanation:
Given;
1/4 inch = 12 miles
3 1/2 = 7/2 = 14/4 inch
number of 1/4 inch in 14/4 inch is;
14/4 ÷ 1/4 = 14
14/4 inch = 12×14 miles = 168miles
A cone has a slant length of 5 and a diameter of 4. What is the volume of the cone? Use π ≈ 3.14.
A.12.56 cubic units
B.18.84 cubic units
C.20.93 cubic units
D.25.12 cubic units
The volume of the cone, calculated using the given slant length and diameter, is approximately 18.84 cubic units, therefore the correct answer is B. 18.84 cubic units.
Explanation:The subject of this question is the volume of a cone. In order to calculate the volume of a cone, you need to use the formula: V = 1/3πr²h. However, in this case, you are given the slant length and the diameter. First, we need to find the radius (r) and the height (h) of the cone. The radius would be half the diameter, so r = 4/2 = 2. Then, from the given slant length (s) and radius (r), we can find the height by using Pythagoras' theorem: h = sqrt(s² - r²) = sqrt(5² - 2²) = sqrt(21). Now we can substitute r and h into the volume formula: V = 1/3*3.14*2²*sqrt(21) which is approximately 18.84 cubic units. So the answer is option B.18.84 cubic units.
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Mr. Woosley is assigning group projects to 24 students. To form the groups, each student will randomly select a slip of paper with the name of a continent on it from a bag. The student will keep the slip of paper. The number of slips of paper in the bag with each continent name is shown below. Africa - 6 Asia - 8 Australia - 4 Europe - 6 What is the probability that a student in Mr. Woosley’s class will not be assigned a project on Australia?
The probability that a student will not be assigned a project on Australia is 20/24, which simplifies to 5/6.
The probability that a student in Mr. Woosley's class will not be assigned a project on Australia can be found by subtracting the probability of being assigned Australia from 1. There are a total of 24 slips of paper representing continents, and 4 of these are Australia. Therefore, there are 24 - 4 = 20 slips that are not Australia.
The probability, P(NOT Australia), is calculated as follows
Calculate the total number of slips: 6 (Africa) + 8 (Asia) + 4 (Australia) + 6 (Europe) = 24.
Determine the number of slips that are not Australia: 24 - 4 (Australia) = 20.
Find the probability: P(NOT Australia) = Number of non-Australia slips / Total number of slips = 20 / 24.
Therefore, the probability that a student will not be assigned a project on Australia is 20/24 or 5/6 when simplified.
What is the magnetic force on a proton that is moving at 2.5 x 10 m/s to the
left through a magnetic field that is 3.4 T and pointing toward you? The
charge on a proton is 1.6 10-19 c. Use F-qvx B sin(o).
Answer:C. 1.4 10-11 N up
step-by-step explanation:
Explanation:
The magnetic force, F on a charge q moving with velocity v in a magnetic field B at an angle θ is given by:
F = q v B sin θ
Charge of proton, q = 1.6 × 10⁻¹⁹ C
Strength of magnetic field, B = 3.4 T pointing outwards
velocity of the proton, v = 2.5 × 10⁷ m/s towards left
Magnetic force is given by:
F = 1.6 × 10⁻¹⁹ C× 2.5 × 10⁷ m/s ×3.4 T× sin 90 = 13.6 × 10⁻¹² N = 1.4 × 10⁻¹¹ N up
The direction of the force is given by Lorentz Right hand rule. The fingers point magnetic field, the thumb points towards velocity, then the force on the proton is given by the direction perpendicular to the palm.
The magnetic field acts outwards with velocity of the proton towards left. The force would act perpendicular to the two -upwards.
The magnetic force on the proton, moving to the left at 2.5 x [tex]10^6[/tex] m/s in a 3.4 Tesla magnetic field directed toward you, is approximately 1.36 x [tex]10^{-12}[/tex] Newtons.
To calculate the magnetic force acting on the proton in this scenario, we'll use the formula F = q × v × B × sin(θ), where:
F is the magnetic force,
q is the charge of the proton (1.6 x [tex]10^{-19}[/tex] C),
v is the velocity of the proton (2.5 x [tex]10^6[/tex] m/s),
B is the magnetic field strength (3.4 Tesla), and
θ is the angle between the proton's velocity vector and the direction of the magnetic field.
In this case, since the proton is moving to the left and the magnetic field is directed toward you, the angle θ is 90 degrees because they are perpendicular to each other.
Now, plug the values into the formula:
F = (1.6 x C) × (2.5 x [tex]10^6[/tex] m/s) × (3.4 Tesla) × sin(90°)
sin(90°) is equal to 1, so:
F = (1.6 x [tex]10^{-19}[/tex] C) × (2.5 x [tex]10^6[/tex] m/s) × (3.4 Tesla) × 1
F ≈ 1.36 x [tex]10^{-12}[/tex] N
So, the magnetic force acting on the proton is approximately 1.36 x [tex]10^{-12}[/tex] Newtons. This force causes the proton to experience a curved path due to the interaction between its velocity and the magnetic field.
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Complete question below:
"What is the magnetic force acting on a proton moving at a velocity of 2.5 x [tex]10^6[/tex] m/s to the left when it enters a magnetic field with a strength of 3.4 Tesla, directed toward you? The charge of a proton is 1.6 x [tex]10^{-19}[/tex] C. Calculate the magnetic force using the formula F = q × v × B × sin(θ)."
Find the area of the polygon:
Answer:
Step-by-step explanation:
o find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.
Arnold's car is 6 meters long. John's car is 500 centimeters
long. When you line them up one in front of the other, how
long are they together? (Answer in meters)
Answer:
11m.
Step-by-step explanation:
500cm=5m
6+5=11m
What’s an exponential equation
Answer:
An exponential equation is when we let the the independent variable become the exponent.
25 pts! Math question!!!
Answer:
6051
Step-by-step explanation:
fo sho
In January, Mr. Tan's students read 20 books. In February, they read 15 books.
What is the percent increase or decrease in the number of books they read?
Answer:
25% Decrease
Step-by-step explanation:
15/20 is 75%. 100-75 (since they read less) is 25%
Answer:
25% decrease
Step-by-step explanation:
25% of 20 is 5. Because 0.25*20=5.
And because they read 15 book next month, if was 5 bookks less, which was 25% less.
Very choppy answer. But I hope that helped
Simplify the following expressions using the distributive property.
6.3(m + 7) + m + 2
FOLLOW ME FOR CLEARING YOUR NEXT DOUBT
Hey there!
The Distributive Property states that
a(b+c)=ab+ac
Now simplify this expression:
6.3(m+7)+m+2
Distribute 6.3:
6.3m+44.1+m+2
Combine Like terms:
6.4m+m+44.1+2
7.4m+46.1
With this we're done!
Hope everything is clear.
Let me know if you have any questions!
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[tex]\boxed{An~Emotional~Helper}[/tex]
on the number line which point is closest to pie
The point on a number line that is closest to Pi (π), which is approximately 3.14, would be the point representing either 3 or 4 as they are the closest whole numbers. However, a point representing 3.14 or a closer approximation would be even nearer.
Explanation:The question is asking to identify which point on a number line is closest to Pi (π), a mathematical constant that approximately equals 3.14. On a number line, you can visualize numbers as points. As Pi is 3.14 approximately, the closest point to Pi on a number line would naturally be the point that represents 3 or the point representing 4, as these are the two closest whole numbers to 3.14. However, if there's a point representing the value 3.14, or even closer approximation like 3.141, it would be even closer to Pi than the points representing 3 or 4.
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Solve the quadratic by factoring.
x^2-5x-31=5
Final answer:
The quadratic equation x²-5x-31=5 is solved by factoring to (x - 9)(x + 4) = 0, giving the solutions x = 9 and x = -4.
Explanation:
To solve the quadratic equation x²-5x-31=5 by factoring, we first move all terms to one side to get it into standard form:
x² - 5x - 36 = 0
Next, we look for two numbers that multiply to -36 and add up to -5. These numbers are -9 and 4. So, we can write:
(x - 9)(x + 4) = 0
Now, we have two possible solutions for x:
x - 9 = 0, which gives us x = 9x + 4 = 0, which gives us x = -4Therefore, the solutions to the equation are x = 9 and x = -4.
PLS HELP!! Find the value or expression for 0.
1). Sin(0) = cos (28)
2). Cos(y) = sin (0)
Answer:
1.)angle 0 = 62 degrees,
2.) angle 0 = 90 - y degrees.
Step-by-step explanation:
1). Sin(0) = cos (28)
angle 0 would be arcsin (cos (28)) = 62 degrees.
2). Cos(y) = sin (0)
angle 0 = arcsin ( cos (y) ) = 90 - y
To solve the equations involving trigonometric functions Sin(0) = cos(28) and Cos(y) = sin(0), use co-function identities to find 0 equals 62 degrees or (90° - 28°), and y could be 28 degrees or (360° - 28°) due to cosine's periodic nature.
Explanation:To solve the set of equations Sin(0) = cos (28) and Cos(y) = sin (0), we need to apply trigonometric identities and the given constraints.
Firstly, we can use the co-function identities which state that sin(90° - x) = cos(x), and similarly, cos(90° - x) = sin(x). Therefore, for the first equation, we can express 0 in terms of 28°:
sin(0) = cos(28°) implies 0 = 90° - 28° or 0 = 62°.
For the second equation, we replace 0 with 62°:
cos(y) = sin(62°)
We know that sin(62°) equates to the same value as cos(28°) from the first equation.
Therefore, cos(y) = cos(28°), which means y = 28° or y = 360° - 28° due to the periodic nature of cosine.
At time t is greater than or equal to zero, a cube has volume V(t) and edges of length x(t). If the volume of the cube decreases at a rate proportional to its surface area, which of the following differential equations could describe the rate at which the volume of the cube decreases?
A) dV/dt=-1.2x^2
B) dV/dt=-1.2x^3
C) dV/dt=-1.2x^2(t)
D) dV/dt=-1.2t^2
E) fav/dt=-1.2V^2
Answer:
C
Step-by-step explanation:
V(t) = [x(t)]³
A(t) = 6[x(t)]²
dV/dt = k × 6[x(t)]²
Where k < 0
From the options,
taking k = -0.2
dV/dt = -1.2[x(t)]²
The correct answer is A) dV/dt=-1.2x^2, which represents a rate of volume decrease directly proportional to the cube's surface area.
Explanation:The question involves finding a differential equation that describes the rate at which the volume of a cube decreases when the rate is proportional to the cube's surface area. Since the surface area of a cube is 6x(t)^2 and the volume is x(t)^3, the rate of decrease in volume, dV/dt, is proportional to the surface area.
The correct differential equation would show this relationship by having the change in volume be proportional to the square of the edge length, so dV/dt = -kx^2 for some constant k, which means the valid option is A) dV/dt=-1.2x^2.
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A fruit is selected at random from a basket containing 6 bananas, 2 papayas, and 7 mangoes. what is the probability of selecting a banana
Answer:
2/5
Step-by-step explanation:
6+7+2=15
6 out of the 15 are bananas
you can simply and reduce this fraction from 6/15 to 2/5
I really need help solving this problem
Answer:
108 ft2 is the area of the other rectangle
Step-by-step explanation:
If the first length is 3 and the second one is 6 if you find the width of the first rectangle, it has to be double like the length and 18*6 = 108
Answer:
108
Step-by-step explanation:
the scale is 2x
27/3 = 9
9 x 2 is 18
18 x 6 is 108
Gretchen and her friend Hayley bought three bags of apples and three bunches of bananas from the fruit vendor. Gretchen and Hayley want to find the total number of pieces of fruit that they bought. Gretchen thinks she should multiply 3 by the number of apples in each bag, x, and add it to 3 times the number of bananas in each bunch, y, to find the total number of pieces of fruit. Hayley thinks Gretchen should add the number of apples in each bag, x, to the number of bananas in each bunch, y, and then multiply that sum by 3.
The total number of pieces of fruit that they bought should be 72.
The calculation is as follows:
Here we assume 3 bags of apples with 4 apples in each bag [tex](3 \times 4 = 12)[/tex]
And, 3 bunches of bananas with 4 bananas in each bunch [tex](3 \times 4 = 12)[/tex]
Now
= 12 + 12
= 24 pieces of fruit
Since
4 + 4 + 4 (12) apples + 4 = 4 + 4 (12) bananas
So,
= 12 + 12
= 24
here we need to multiplied by 3
So, [tex]= 24 \times 3[/tex]
= 72
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Tyra has 38 counters. She now puts the 38 counters into some bags so that Each bag has an equal number. There are no counters left over. There are more than 10 counters in each bag. Work out the number of bags and number of counters in each bag.
I mean, you can divide the counters by the range 2 - 38.
I only managed to find out that 38 ÷ 2 = 19.
And 38 ÷ 19 = 2.
It says that there are more than 10 counters in each bag.
So 2 bags is the most liable option.
There are 2 bags and 19 counters in each bag.
Answer:
2 bags, 19 counters.
Step-by-step explanation:
This question is looking for factors of 38 with counters being a factor greater ten and the number of bags being the factor that multiplies the counters to get 38. First, find the factors of 38.
1 x 38 = 38
2 x 19 = 38
Since the problem says bags with an s, we can know that there has to be more than one bag. That leaves us with 2 x 19.
What is a 3-dimensional shape made of two identical circles connected by a rectangle
Answer:
cylinder
Step-by-step explanation:
ILL GIVE YOU BRAINLIEST!! The cost of a medium pizza can be determined by the number of toppings on the pizza.Each toppings adds the same amount to the total cost.
Which table could show the relationship between the number of toppings and the cost of a medium pizza?
Answer:
b
Step-by-step explanation:
The table could show the relationship between the number of toppings and the cost of a medium pizza is table B.
What is Rate of Change?We divide the change in y (output) by the change in x to determine the average rate of change (input).
The pace at which one quantity changes in relation to another quantity is known as the rate of change function. Simply said, the rate of change is calculated by dividing the amount of change in one item by the equal amount of change in another.
In table 1, when the topic goes from 4 to 5 then the price increase by $2 which is not convenient here.
In table 2, when the topic goes from 4 to 5 then the price increase by $1 which is not convenient here.
In table 3, when the topic goes from 4 to 5 then the price increase by $2 which is convenient here.
In table 4, when the topic goes from 4 to 5 then the price increase by $2 which is not convenient here.
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A large candy bar was 120 calories. The
smaller candy bar has 16 percent less
calories. How many calories does the
smaller candy bar have?
Wendy kept track of the number of text messages she sent each day for three weeks. Drag and drop each number into the boxes to complete the frequency table .
Answer:
0-9 = 4
10-19 = 3
20-29 = 9
30-39 = 5
Step-by-step explanation:
I just did it right now!
The correct number into the boxes to complete the frequency table are,
Interval Frequency
0-9 4
10-19 3
20-29 9
30-39 5
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Wendy kept track of the number of text messages she sent each day for three weeks.
Now, We can formulate;
Interval Frequency
0-9 4
10-19 3
20-29 9
30-39 5
Thus, The correct number into the boxes to complete the frequency table are,
Interval Frequency
0-9 4
10-19 3
20-29 9
30-39 5
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Brian is looking at a statue in Bruso park from 8 meters away. If the distance between the top of the statue to Brian's head is 17 meters, how much taller is the statue than Brian using the Pythagorean theorem?
It is Marcie's first turn to roll. Which ratio shows the
theoretical probability that she will not land on a star
space?
A.1/6
B.1/3
C.1/2
D.2/3
Answer:
2/3
Step-by-step explanation:
Answer: the answer is d.2/3 just took the test!!
Step-by-step explanation:
What is the name of segment AC in the picture? chord, radius, diameter, or circumference
Based on the circle shown above, the name of segment AC include the following: C. diameter.
In Mathematics and Euclidean Geometry, a circle refers to the set of all points in a plane that are located at a fixed distance (radius) from a fixed point.
Generally speaking, the diameter of a circle simply refers to a straight line that passes through the middle (center) to the other end of the circle, thereby, measuring the distance from one end point to another.
This ultimately implies that, the diameter of a circle is double the length of the radius of a circle;
Diameter = 2 × radius
PLEASE HELP ME PLEASE PLEASE I NEED YOUR HELP PLEASE HELP ME Which of these expressions demonstrates the identity property? Check all that apply.
25(0) = 25
25(1) = 25
25 + 0 = 25
25 + 1 = 25
Answer:
1st one and the third one
Step-by-step explanation:
25(0)=25
25+0=25
Answer:
25(1) = 25
25 + 0 = 25
those are the correct answers
have fun goodluck and stay safe
evaluate 1/3 m - 1 - 1/2 n when m = 21 and n = 12
Answer:
0
Step-by-step explanation:
1/3(21)-1-1/2(12)
7-1-6=6-6=0
Q(x)=6x and r(x)=5x+1
Find (r•q)(x)
Answer:
(r * g)(x) =30xx + 6x
if it was composition
r (q(x)) = 5(6x) + 1 = 30x + 1
Step-by-step explanation:
Q(x)=6x and r(x)=5x+1
Find (r•q)(x)
multiplying the functions, right? not composition of functions.
(r * g)(x ) = (5x + 1) * 6x = 30xx + 6x
(r * g)(x) =30xx + 6x
if it was composition
r (q(x)) = 5(6x) + 1 = 30x + 1
HELP! What is the value of X? WILL GIVE BRAINLIEST!
Answer:The value of X is 7.
Step-by-step explanation: It's counting up starting at 3 so the 4..5..6..7 so, then the 6 is right one the invisible line with X
Answer:
x =2
Step-by-step explanation:
Similar triangles:-
The given triangles are same shape but not necessarily the same sizeCorresponding angles are equalCorresponding sides are in the same ratio [tex]\frac{a}{p} = \frac{b}{q} = \frac{c}{r}[/tex]Given diagram ΔABC AND ΔDBE are similar triangles.
[tex]\frac{BC}{BE} = \frac{AB}{BD}[/tex]
[tex]\frac{x+x+1}{x+1} = \frac{6+4}{6}[/tex]
on simplification , we get
[tex]\frac{2x+1}{x+1} = \frac{6+4}{6}[/tex]
cross multiplication , we get
12x+6 =10x +10
12x-10x = 10 -6
2x =4
x =2
Therefore the value of x =2
verification:-
[tex]\frac{BC}{BE} = \frac{AB}{BD}[/tex]
[tex]\frac{2x+1}{x+1} = \frac{6+4}{6}[/tex]
put x=2
[tex]\frac{2(2)+1}{2+1} = \frac{6+4}{6}[/tex]
[tex]\frac{5}{3} = \frac{6+4}{6}[/tex]
[tex]\frac{5}{3} = \frac{5}{3}[/tex]
both sides are equal
Therefore x value is 2