Answer:
m=80
Step-by-step explanation:
1/2 times 80 =40
Three dice are rolled. Find the probability of getting a 2, a 3, and a 4.A. 1/36B. 3/36C. 3/216D. 1/216
Answer:
Explanation:
if three dice (each having 6 faces) are rolled, the total number of possible outcomes is:
\(6^3=216\)A section of a deck is shaped like a trapezoid. For this section, the length of one base is 29 feet, and the length of the other base is 34 feet. The height is 20 feet. What is the area of this section of the deck?
Answer:
19720
Step-by-step explanation:
For the function determine:
Answer:
answer for number a is 3/2
answer for number b is 6
answer for number c is 8
Obtain numerical solution of the ordinary differential equation y' = 3t−10y²
with the initial condition: y(0)= −2 by Euler method using h=0.5 Perform 3 steps.
Solution of all problems MUST contain general formula and all intermediate results. Perform numerical computations using 4 digits after decimal point.
The Euler method with a step size of h = 0.5, the approximate numerical solution for the ODE is y(1.5) ≈ -1.1198 x 10^9.
To solve the ODE using the Euler method, we divide the interval into smaller steps and approximate the derivative with a difference quotient. Given that the step size is h = 0.5, we will perform three steps to obtain the numerical solution.
we calculate the initial condition: y(0) = -2.
1. we evaluate the derivative at t = 0 and y = -2:
y' = 3(0) - 10(-2)² = -40
Next, we update the values using the Euler method:
t₁ = 0 + 0.5 = 0.5
y₁ = -2 + (-40) * 0.5 = -22
2. y' = 3(0.5) - 10(-22)² = -14,860
Updating the values:
t₂ = 0.5 + 0.5 = 1
y₂ = -22 + (-14,860) * 0.5 = -7492
3. y' = 3(1) - 10(-7492)² ≈ -2.2395 x 10^9
Updating the values:
t₃ = 1 + 0.5 = 1.5
y₃ = -7492 + (-2.2395 x 10^9) * 0.5 = -1.1198 x 10^9
Therefore, after performing three steps of the Euler method with a step size of h = 0.5, the approximate numerical solution for the ODE is y(1.5) ≈ -1.1198 x 10^9.
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Please help will Mark brainliest. The farthest distance a satellite signal can directly reach is the length of the segment tangent to the curve of Earth’s surface. If the angle formed by the tangent satellite signals is 104°, what is the measure of the intercepted arc on Earth? The figure is not drawn to scale.
The measure of the intercepted arc on Earth is also 104°.
In the given diagram, we have a circle representing the Earth's surface, and a tangent line that represents the farthest distance a satellite signal can directly reach. The angle formed by the tangent satellite signals is 104°. We need to find the measure of the intercepted arc on Earth.
The angle formed by the tangent line at any point on a circle is always 90 degrees (a right angle) with the radius of the circle at that point. Therefore, the angle formed by the tangent line and the radius of the Earth at the point of tangency is also 90 degrees.
Since the sum of angles in a triangle is 180 degrees, we can deduce that the angle between the two tangent satellite signals is 180 - 90 - 90 = 0 degrees. This means that the two tangent satellite signals are parallel to each other.
When two lines are parallel and intersect a circle, the intercepted arcs they form are congruent. Therefore, the measure of the intercepted arc on Earth is also 104 degrees.
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Nan has 88 flowers to place on 14 tables.
She wants to put the same number of
flowers on each table and have the least
possible number of flowers left over.
5. How many flowers should Nan place
on each table?
Answer:
6 flowers.
Step-by-step explanation:
Divide 88/14. Remove the decimal.
Answer:
You can put 6.3
Step-by-step explanation:
I'm not sure about it, sorry about that
Sheila was making place-value disks. She colored 2/6 of the disks red. She colored 1/4 of the disks yellow. If she colored 40 red place value disks, how many disks did she color yellow? How many disks does she still have left to color?
Answer:
She colored 30 yellow place value disks and 50 disks are left to color.
Step-by-step explanation:
Let total number of disks be x.
It is given that, she colored 2/6 of the disks red. She colored 1/4 of the disks yellow.
\(\text{Red disks}=\dfrac{2}{6}x\)
\(\text{Yellow disks}=\dfrac{1}{4}x\)
She colored 40 red place value disks.
\(\dfrac{2}{6}x=40\)
\(\dfrac{1}{3}x=40\)
\(x=120\)
It means total number of disks is 120.
\(\text{Yellow disks}=\dfrac{1}{4}x=\dfrac{1}{4}(120)=30\)
So, she colored 30 yellow place value disks.
Remaining disks = Total disks - Red disks - Yellow disks
\(=120-30-40\)
\(=50\)
Therefore, 50 disks are left to color.
Your teacher wants to use a point system to select the winning pet. She wants each pet to get a certain number of points for each 1st choice vote and a certain number of points for each 2nd choice vote.
Your teacher decides to use these rules for her point system:
Points need to be positive whole numbers
Points for a 1st choice vote have to be greater than or equal to the points for a 2nd choice vote.
Determine point values for the 1st and 2nd choice that would result in the turtle winning. Use words and numbers to explain how this point system results in the turtle winning
In the above case, the possible point system will be:
1st choice vote: 4 points
2nd choice vote: 2 points
What is the point system?In arranging for the turtle to win in this point framework, the point values relegated for 1st choice and 2nd choice votes have to be meet the taking after criteria:
The point got to be positive entire numbersThe point for a 1st choice vote need to be more noteworthy than or rise to to the focuses for a 2nd choice voteLets say:
1st choice vote: 4 points
2nd choice vote: 2 points
Thus by the use of these point values, the turtle would have the next chance of winning since 1st choice votes would be worth more point (4 point ) compared to 2nd choice votes (3 point ). This would push individuals to select the turtle as their 1st choice, because it would allow the turtle a better add up to point gains and increase its chances of winning.
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Express 2.31 as a fraction
A. 231/1000
B. 2.31/10
C. 231/100
D. 2.31/1000
Answer:
C 231/100
Step-by-step explanation:
hope this helps :)
the radius of a sphere is increasing at a rate of 4 mm/s. how fast is the volume increasing (in mm3/s) when the diameter is 100 mm? (round your answer to two decimal places.)
The volume of the sphere is increasing at a rate of 209,439.51 mm³/s when the diameter is 100 mm
The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing (in mm3/s) when the diameter is 100 mm? (Round your answer to two decimal places).Formula to calculate the volume of a sphere = (4/3) × π × r³where r = radius of the sphere, π = pi = 3.14, d = diameter of the sphere. The diameter of the sphere, d = 100 mm.So, the radius of the sphere, r = d/2 = 100/2 = 50 mm.
Now, we need to find the rate of change of the volume of the sphere when the radius of the sphere is increasing at a rate of 4 mm/s.We know that the volume of the sphere is given by V = (4/3) × π × r³.We have to differentiate the above formula with respect to time (t).dV/dt = d/dt [(4/3) × π × r³]dV/dt = (4/3) × π × 3r² × dr/dt, substitute r = 50 mm and dr/dt = 4 mm/s in the above equation to find dV/dt.dV/dt = (4/3) × π × 3(50)² × 4dV/dt = 209,439.51 mm³/sTherefore, the volume of the sphere is increasing at a rate of 209,439.51 mm³/s .
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2 and 1/6 divided by 4 and 1/3, help pls
Answer:
The answer is 1 9/19
Step-by-step explanation:
can someone help me with dilation
Answer:
Step-by-step explanation:
A dilation is something that shrinks smaller than what is already shown on the graph. To answer a dilation you must find how many squares it shrinked it will be a fraction or a whole number. There is a formula for how to solve this equation.
What is the area of the following figure?
Answer:
75 mm^2
Step-by-step explanation:
use pythageron theorem to find the area of the triangle
7^2=5^2+b^2
b=4.489mm
multiply the of b by the height (5mm) to get the area. usually for the area of a triangle you divide by two, but because there is an identical triangle on the other side, it will be doubled, so dividing it by 2 is redundant.
4.489*5 = 24.49mm^2
Make a rectangle in the middle of the shape, creating a triangle on the right, like they did on the left. That right triangle is included in the calcualtion above. the rectangle is base *height. The base is 15 - b which was 4.489. therefore the rectanlge is
5*10.1 = 50.5mm^2
add the areas together: 50.5 +24.49 = 75 mm^2
PLEASE ANSWER ALL THE QUESTIONS WILL MARK BRAINLIEST!!!
Solve the equation 5x + (−2) = 6x + 4 using the algebra tiles.
What tiles need to be added to both sides to remove the smaller x-coefficient?
A. 5 negative x-tiles
B. 5 positive x-tiles
C. 6 negative x-tiles
D. 6 positive x-tiles
What tiles need to be added to both sides to remove the constant from the right side of the equation?
A. 2 negative unit tiles
B. 2 positive unit tiles
C. 4 negative unit tiles
D. 4 positive unit tiles
What is the solution?
A. x = –6
B. x = –2
C. x = 1
D. x = 2
Answer:
1. A
2. C
3. A
Explanation:
5x+(-2)=6x+4
-5x -5x
(-2)=1x+4
-6=x
Answer:
What tiles need to be added to both sides to remove the smaller x-coefficient?
✔ 5 negative x-tiles
What tiles need to be added to both sides to remove the constant from the right side of the equation?
✔ 4 negative unit tiles
What is the solution?
✔ x = –6
Step-by-step explanation:
shama types at a constant rate she types 12 letters in 4 seconds
Answer:
The ratio at its simplest form it 4:1
Step-by-step explanation:
That means they type 4 letters in 1 second
Answer:
she types 4 letters in one second so its a 4:1 ratio of letters to seconds.
Step-by-step explanation:
Which statement is true about 1?
A. It is a prime number.
B. It is a composite number.
C. It is a whole number that is neither prime nor composite.
D. It is not a whole number.
Please dont be greedy and answer the question saying something like "i have no idea" Thanks
Answer:
C. It is a whole number that is neither prime nor composite.
Step-by-step explanation:
A prime number is a number that has two factors: one and another number. Thus, since 1 only has one factor (itself), it cannot be a prime number.
However, a composite number must have more than two factors, which 1 doesn't have either.
Since 1 is a whole number (not a decimal or fraction), and it is neither prime nor composite, the answer would be C.
Have a nice day!
Answer:
C!
Step-by-step explanation:
hope it helped
Please help :( ill give brainlest
Answer:
I think for this one it is D.
Step-by-step explanation:
4
For each equation, find a value for x that makes the equation true.
a.
x = 3 = 12
b.
2x + 3 = 20
c.
d
- 4x =-24
2(x-4) = 10
e
-0.5x +1.1 =-2.9
For question 4.a), I think you meant x + 3 = 12.
4.a) x + 3 = 12
- 3 -3
x = 9
b.) 2x + 3 = 20
- 3 -3
2x = 17
2 2
x = 8.5
c.) -4x = -24
-4 -4
x = 6
d.) 2(x-4) = 10
2x - 4 = 10
+ 4 +4
2x = 14
2 2
x = 7
e.) -0.5x + 1.1 = -3.9
- 1.1 -1.1
-0.5x = -5
-0.5 -0.5
x = 10
If you have an independent group design and ordinal data, which test do you use?
The test to use when there's an independent group design and ordinal data is the Kruskal Wallis test
Given: Independent group and ordinal data. To find which test to use.
What's the Kruskal Wallis test?
The Kruskal Wallis test is used when you have one independent variable with two or further situations and an ordinal dependent variable. In other words, it's thenon-parametric interpretation of ANOVA and a generalized form of the Mann- Whitney test system since it permits two or further groups.
The Kruskal Wallis test is used when you have one independent variable with two or further situations and an ordinal dependent variable. In other words, it's thenon-parametric interpretation of ANOVA and a generalized form of the Mann- Whitney test system since it permits two or further groups.
The null thesis for the Kruskal- Wallis test simply states that there are no methodical or harmonious differences among the treatments being compared.
How to calculate the Kruskal Wallis test?
The computation of the Kruskal- Wallis statistic requires
Combine the individualities from all the separate samples and rank order the entire group.Regroup the individualities into the original samples and cipher the sum of the species( T) for each sample. A formula is used to cipher the Kruskal- Wallis statistic which is distributed as a ki-square statistic with degrees of freedom equal to the number of samples minus one. The attained value must be lesser than the critical value for ki- forecourt to reject H0 and conclude that there are significant differences among the treatments.Hence as is mentioned for an independent group design and ordinal data so we use the Kruskal Wallis test.
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We can use the Kruskal Wallis test when we have an independent group design and ordinal data.
We are given an independent group design and ordinate data.
We need to tell which test to use on them.
The Kruskal Wallis test is used when you have one independent variable with two or more situations and one ordinal dependent variable. In other words, it is an interpretation of ANOVA table and a generalized form of the Mann- Whitney test system.
The null hypothesis for the Kruskal- Wallis test tells us that:
There are no methodical or harmonious differences among the treatments being compared.
Therefore, we can use the Kruskal Wallis test when we have an independent group design and ordinal data.
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What is the value of x?
40"
X
55
O A. 85°
O B. 105°
O c. 75°
D. 95°
Answer:
A. 85°
Step-by-step explanation:
By interior angle sum theorem of a triangle.
x = 180° - ( 40° + 55°)
x = 180° - 95°
x = 85°
Answer:
A. 85
Step-by-step explanation:
Youd do 40+55 and that equals 95 and then since a triangle qdds up to 180 degrees, 180-95=85
the 66th term of the arithmetic sequence - 10, 7, 24, ...
Answer:
the 66th term is 1095
What is the value of k for which the system of equation 2x +3y 7 and 8x +( K 4 y 28 0 has infinitely many solution?
The value of k for the given system of equations 2x +3y = 7 and
8 x + ( k +4 ) y -28= 0 having infinite many solutions is equal to 8.
As given in the question,
Given system of equations are,
2x +3y = 7
8 x + ( k +4 ) y -28= 0
Compare it with standard system of equations
a₁x + b₁y + c₁ = 0
a₂x + b₂y + c₂ = 0
Conditions for infinite many solutions is :
( a₁ / a₂ ) = ( b₁ / b₂ ) = ( c₁ / c₂ )
Here a₁ = 2 , a₂ = 8 , b₁ = 3 , b₂ = ( k + 4) , c₁ = -7 , c₂ = -28
Substitute the value in the condition we get,
( 2 / 8) = (3 /k+4) = -7 / -28
⇒ ( 2 / 8) = (3 /k+4) or (3 /k+4) = -7 / -28
Solve any one.
⇒ 2( k + 4) = 3(8)
⇒ 2k + 8 = 24
⇒ 2k = 16
⇒ k = 8
Therefore, the value of k for the given system of equation having infinite many solutions is equal to 8.
The above question is incomplete, the complete question is :
find the value of k for which system of equation have infinite many solutions 2x +3y = 7 and 8 x + ( k +4 ) y -28= 0
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On Babylonian tablet YBC 4652, a problem is given that translates to this equation:
X + + x plus StartFraction x Over 7 EndFraction plus StartFraction 1 Over 11 EndFraction left-parenthesis x plus StartFraction x Over 7 EndFraction right-parenthesis equals 60.(x + ) = 60
Answer:
its A. 48.125
Step-by-step explanation:
it just is
Answer:
a
Step-by-step explanation:
Calculate the couple moment acting on the steering wheel, and express it as a Cartesian vector.
The equation for resolving couples will come in place
\(Fcos\theta=0\\\ Fsin\theta =0\)
Using the unit vectors by i and j along the x-axis and the y-axis you'll express it as a Cartesian vector.
Couple moment and Cartesian vector
Couple moment:This looks at the product of the forces acting on a body( in this context a steering wheel ) by the perpendicular distance that exist amidst the forces.
Cartesian vector:this is the representation of unit vectors by i and j along the x-axis and the y-axis, respectively.
Therefore, in calculating the couple moment t acting on the steering wheel, the equation for resolving couples will come in place
\(Fcos\theta=0\\\ Fsin\theta =0\)
Using the unit vectors by i and j along the x-axis and the y-axis you'll express it as a Cartesian vector.
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the points (16, 12) and (12, 9) fall on a particular line. what is its equation in slope-intercept form?
Answer: y=3/4x
Step-by-step explanation:
1. Find slope using slope formula
2. Find b value by plugging a point to solve for b with
URGANT PLEASE HELP!!
Solve the triangle for x. (1 point)
A) 41.8°
B) 89.6°
C) 48.6°
D) 90.4°
Answer:
it looks like c
Step-by-step explanation:
its not quite 50 but its extreemly close so its got to be c
\(12 {}^{2} = 9 {}^{2} + 8 {}^{2} - 2(9)(8)(cosx)\)
\(144 = 81 + 64 - 2(72)(cosx)\)
\(144 = 145 - 144(cosx)\)
\( - 144(cosx) = 144 - 145\)
\((cosx) = \frac{ - 1}{ - 144} \)
\(arccos( \frac{1}{144} ) = > a = 89.6\)
A van can travel 18 miles on each gallon of gasoline. At that rate, how many miles can the van travel on 15 gallons of gasoline? 33 miles 83 miles 120 miles 270 miles Mark this and return
Answer:
270 miles
Step-by-step explanation:
if 1 gallon = 18 miles
then 15 gallons = x miles
cross multiply
1 × x = 15×18miles
x = 270 miles
so it travels 270 miles on 15 gallons of gasoline
I need Help i Have a C in my class
Answer:B
Step-by-step explanation:
R^2=Q^2-P^2
R^2=2025
R=45
Answer:
b) 45cm
Step-by-step explanation:
by pythagoras theorem:
R² = P² - Q²
R² = 53² - 28² = 2809 - 784
R² = 2025
R = √2025
R = 45cm
Hope this helps!
what is the difference written in scientific notation 0.00067 - 2.3 x 10 to the -5 power
Answer:
6.43 × 10^-4 or 0.000643
Step-by-step explanation:
0.00067 - 2.3 × 10^-5 = 6.7 × 10^-4 - 2.5 × 10^5
6.7 × 10^-4 = 67 × 10^-5
67 × 10^-5 - 2.3 × 10^-5 = 64.3 × 10^-5 = 6.43 × 10^-4
x-4/2=9-5x, explain how to get the answer
The solution to the equation x - 4/2 = 9 -5x is x = 11/6
How to determine the solution to the equationFrom the question, we have the following parameters that can be used in our computation:
x - 4/2 = 9 -5x
Evaluate the quotient of 4 and 2 in the above equation
So, we have the following representation
x - 2 = 9 -5x
Collect the like terms in the above equation
So, we have the following representation
5x + x = 9 + 2
Evaluate
6x = 11
So, we have
x = 11/6
Hence, the solution is 11/6
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