Answer:
6
8
,
9
12
,
12
16
Step-by-step explanation:
A 30 kg object takes one MINUTE to travel east 240 m. It began travelling at 240 m/s and came to a stop (0 m/s) at the end. What was its acceleration?
A: -4
B: -0.125
C: 8
D: 1
Answer:
To find the acceleration of the object, we need to use the equation:
acceleration = (final velocity - initial velocity) / time
In this case, the initial velocity of the object was 240 m/s, the final velocity was 0 m/s, and the time was 1 minute. Plugging these values into the equation, we get:
acceleration = (0 m/s - 240 m/s) / (1 minute) = -240 m/s / 1 minute = -240 m/s^2 / 60 s = -4 m/s^2
Thus, the acceleration of the object is -4 m/s^2, which corresponds to answer choice A.
9) Five less than the square root of a number r
Please help I will give brainliest and a lot of points :)
The inequality shaded in the graph is given as follows:
y ≥ 5x/2 + 3.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.The graph crosses the y-axis at y = -3, hence the intercept b is given as follows:
b = 3.
When x increases by 2, y increases by 5, hence the slope m is given as follows:
m = 5/2.
Then the equation of the line is given as follows:
y = 5x/2 + 3.
The line is a solid line, and values above it are plotted, hence the inequality is given as follows:
y ≥ 5x/2 + 3.
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Mrs. Helton is making gift bags as prizes for her math classes. She has 30 little bags of Hershey Kisses and 15 Blow Pops. What is the greatest number of gift bags she can make if all gift bags are the same, and she does not want any left over?
Answer:
3
Step-by-step explanation:
I LOVE CANDY hope it helps 45/3 is hte gretaets factor the answer is 3.. i think
Answer:
45 gift bags.
Step-by-step explanation:
take 30 and divide it by 15. your answer is 2. 2 hk bags and 1 blow pop is equal to 3. so you would multiply 3 by 15 to get your conclusion
What is the mean absolute deviation of the data set 7 10 14 and 20?.
The absolute deviation of the data set 7 10 14 and 20 is 4.25.
What is the mean deviation method?
When calculating the average departure from the mean value of a particular data set, statisticians employ a measure known as the mean deviation. Following the steps below will make it simple to determine the mean deviation of the data values.
In statistics, the term "deviation" refers to the discrepancy between the observed value of a data point and its expected value. As a result, mean deviation, also known as mean absolute deviation, is the typical departure of a data point from the mean, median, or mode of the data collection.
data set is 7, 10, 14, 20,
Mean = m = 51/4 = 12.75
So the MAD is 1/4 |7-12.75| |10-12.75| |14-12.75| 20-12.75|
MAD = 17/4 = 4.25
Hence the mean absolute deviation of the data set 7 10 14 and 20 is 4.25.
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Pleasee help what’s the lateral surface area please help
Answer:
Lateral surface area of the cuboid = 84 square inch
Total surface area = 119.28 square inch
Step-by-step explanation:
Lateral surface of the cuboid = Total surface area of the cuboid - Area of the top and base of the cuboid
Total surface area = 2(lb + bh + hl) - 2(lb)
Here, l = length of the cuboid
b = width of the cuboid
h = height of the cuboid
Therefore, Lateral surface area of the given cuboid = 2(bh + hl)
= 2(2.1 × 4) + 2(4 × 8.4)
= 16.8 + 67.2
= 84 square inch
Total surface area of the cuboid = 2(8.4×2.1 + 2.1×4 + 4×8.4)
= 2(17.64 + 8.4 + 33.6)
= 2(59.64)
= 119.28 square inch
What is the explicit formula of the arithmetic sequence?
-9, -6, -3, 0....
Answer:
Tn= -9+(n-1)×3
Step-by-step explanation:
d= t2-t1 =t3-t2....
=-6-(-9)=3
We realize that this is an arithmetic sequence
Therefore Tn= a + (n-1)d, whereby a if the first term= - 9,d=3
Tn=-9+(n-1)×3
Answer:An=-9+3(n-1)
Step-by-step explanation:
First, find the common difference (the amount you are adding each time). You can find this by taking the second term and subtracting the first term. Now, identify the first term. This is the first number in your list. Finally, plug the first term in for A1 and the common difference in for d in the equation an=a1+d(n-1) Note: Leave the variable n as part of the equation.
A figure is shown, where triangle ABC is similar to triangle ADE. The location of point A is (1.2,2.1). The line connections points A,B, and D passes through the origin. What is a possible order pair for point D
Answer:
8 and 14 im 100% sure its 8 and 14
Step-by-step explanation:
The possible order pair for the point D is (0, 0.72)
What is the similarity of triangles?Triangles with the same shape but different sizes are said to be similar triangles. Triangle resemblance is shown here by the symbol "≈"
Since triangle ABC is similar to triangle ADE, the corresponding sides of these triangles are proportional.
Let's denote the length of AB as x and the length of AD as y. Then, we can write:
AB/AD = BC/DE
Substituting the values from the figure, we get:
x/y = 5/3
Multiplying both sides by y, we get:
x = (5/3)
x = (5/3)y
Substituting x = 1.2 (the x-coordinate of point A) and solving for y, we get:
1.2 = (5/3)y
y = (3/5)(1.2)
y = 0.72
Therefore, a possible order pair for point D is (0, 0.72).
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what is the product of 5/6 x 2/3
At time x=0, water begins to drip steadily out of a water tank. After 3 hours , there are 6.8 gallons of water in the tank. After 9 hours, 4.4 gallons remain. Write a linear function rule that models the number of gallons of water y left in the tank for any number of hours x. The linear function rule is y = ___
Answer:
\(y=-0.4x+8\)
Step-by-step explanation:
Let the Linear Function to represent the drip of water out of the water tank be:
\(y=mx+c\)
Where \(x\) is the time
\(y\) is the number of gallons at that time
\(m\) is the rate at which water drips
\(c\) is the initial number of gallons of water in the tank
Putting the given values in the above equation:
\(6.8 = m\times 3+c ..... (1)\)
\(4.4 =m\times 9+c..... (2)\)
Subtracting (1) from (2):
\(6m=-2.4\\\Rightarrow m =-0.4\)
Putting in equation (1):
\(6.8=-0.4\times 3+c\\\Rightarrow c = 8\)
Therefore, the linear function equation to represent in the situation is:
\(y=-0.4x+8\)
i'll mark you brainliest for correct answer<3
Answer:
x=23/3 and y=-7/3
Step-by-step explanation:
So it would be (23/3,-7/3)
triangle qrs is similar to triangle xyz . the measure of ∠x is 75° and the measure of ∠q is equal to 5(n−3)° . which is the value of n
The two triangles n = (75 + 3) / 5 = 18. The measure of angle q is 18 degrees.
1. First, find the value of n by using the equation 5(n - 3) = 75 + 3
2. Next, add 75 and 3 together and divide by 5. This gives us a value of 18 for n.
3. Finally, use the equation 5(n - 3) to determine the measure of angle q in triangle qrs. This equals 5(18 - 3) = 5(15) = 75 degrees.
The two triangles qrs and xyz are similar, meaning they have the same angle measures. In order to find the measure of angle q in triangle qrs, we must first find the value of n. The measure of angle x in triangle xyz is 75 degrees and the measure of angle q in triangle qrs is equal to 5(n - 3) degrees. We can use this equation to solve for the value of n. To do this, we add 75 and 3, then divide by 5. This gives us a value of 18 for n. Therefore, the measure of angle q in triangle qrs is 18 degrees.
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solve for x????????
Answer:
x=132
Step-by-step explanation:
180-48=132
Hope this helps!
Answer:
\(x\) = 132°
Step-by-step explanation:
A straight line is always equal to 180° so
180 - 48 = 132
\(x\) = 132°
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In the standard (x,y) coordinate plane, a line intersects
the y-axis at (0,2) and contains the point (8,3). What is
the slope of the line?
Answer:
\(\sf Slope =\dfrac{1}{8}\)
Step-by-step explanation:
(0,2) ; (8 ,3)
Slope:
\(\sf \boxed{Slope = \dfrac{y_2-y_1}{x_2-x_1}}\)
\(\sf = \dfrac{3-2}{8-0}\\\\=\dfrac{1}{8}\)
In the United States 13 out of every 20 cans are recycled what percentage of cans are recycled
Answer:
65%
Step-by-step explanation:
13/20 are recycled
We want a percent, which is out of 100
Multiply the top and bottom by 5
13*5 = 65
20*5 =100
65/100 = 65%
Answer:
65%
Step-by-step explanation:
I took the test
Evaluate the iterated integral by converting to polar coordinates.
∫
2
−
2
∫
√
4
−
x
2
0
sin
(
x
2
+
y
2
)
d
y
d
x
To evaluate the iterated integral ∫[2, -2] ∫[0, √(4 - x^2)] sin(x^2 + y^2) dy dx using polar coordinates, we make the following substitutions:
x = r cosθ
y = r sinθ
The limits of integration for x and y need to be expressed in terms of r and θ.
For the limits of x:
When y = 0, we have x = √(4 - x^2) and solving for x, we get x = 2.
When y = √(4 - x^2), we have x = 0.
So, the limits for x in polar coordinates are θ = 0 to θ = π.
For the limits of y:
The region of integration lies within the circle of radius 2 centered at the origin. So, the limits for y in polar coordinates are r = 0 to r = 2.
Now, we need to express the differential element dy dx in terms of polar coordinates.
dy dx = |Jacobian| dr dθ
where |Jacobian| is the determinant of the Jacobian matrix.
The Jacobian matrix is given by:
[∂y/∂r ∂y/∂θ]
[∂x/∂r ∂x/∂θ]
Calculating the partial derivatives:
∂y/∂r = sinθ
∂y/∂θ = r cosθ
∂x/∂r = cosθ
∂x/∂θ = -r sinθ
Taking the determinant of the Jacobian matrix, we have:
|Jacobian| = (∂y/∂r)(∂x/∂θ) - (∂y/∂θ)(∂x/∂r) = (sinθ)(-r sinθ) - (r cosθ)(cosθ) = -r
Now, we can rewrite the integral in polar coordinates:
∫[2, -2] ∫[0, √(4 - x^2)] sin(x^2 + y^2) dy dx
= ∫[0, π] ∫[0, 2] r sin(r^2) |Jacobian| dr dθ
= ∫[0, π] ∫[0, 2] -r^2 sin(r^2) dr dθ
Integrating with respect to r first:
∫[-r^2 sin(r^2)] [0, 2] dr = [-cos(r^2)] [0, 2] = -cos(4) + 1
Now, we can integrate the result with respect to θ:
∫[-cos(4) + 1] [0, π] dθ = [θ - cos(4)θ] [0, π] = π - πcos(4)
Therefore, the value of the iterated integral ∫[2, -2] ∫[0, √(4 - x^2)] sin(x^2 + y^2) dy dx in polar coordinates is π - πcos(4).
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Lora's phone records data for screen time each week. Last week, she used 750 minutes. This week, Lora used 495 screen time minutes on the phone. Calculate the percent decrease in screen time this week.
27%
34%
40%
52%
Answer:
34%
Step-by-step explanation:
495 is 66% of 750 so 66% - 100% is 34%
Answer:
34
Step-by-step explanation:
Find the unknown side length, x. Write your answer in simplest radical form.
A. 4132
B. 22
C. 16/5
D. 16 V13
Answer:
C
Step-by-step explanation:
Use the pythagorean theorem.
32^2+b^2=48^2
1024+b^2=2304
Subtract 1024
b^2=1280
Square root
b=sqrt(1280)
Now simplify sqrt(1280)
sqrt(1280) = sqrt(256*5)
You can take the square root of 256 since it is a perfect square so take it out of the radical.
sqrt(256*5)=16sqrt(5)
So the answer is c, 16\(\sqrt{5}\)
Answer:
C. 16/5
Step-by-step explanation:
pythagorean theorem
a^2 + b^2 = c^2
divide 48 and 32 by 16
a= 2 c= 3
4 + b^2 = 9
b^2 = 5
b = √5
then multiply 16 with √5
which =
16√5
leona tracks her calories burned while boxing. the number of calories she burns is expressed by the function c(t)
The function that represents the number of calories Leona burns while boxing is denoted as c(t).
To determine the function c(t) that represents the calories Leona burns while boxing, we need more information or the specific form of the function. The number of calories burned during boxing can depend on various factors such as time spent boxing, intensity, body weight, and other individual characteristics.
Commonly used formulas to estimate calories burned during physical activity involve variables such as duration and intensity. For example, one widely used formula is the Harris-Benedict equation:
c(t) = (MET * weight * t) / 24
Where:
MET represents the metabolic equivalent of the activity (specific to boxing)
weight represents Leona's body weight
t represents the duration of boxing activity in hours
However, without specific information about Leona's weight, the MET value, or any other relevant details, it is not possible to provide a specific calculation for c(t) in this format.
The function c(t) represents the number of calories Leona burns while boxing. The specific form of the function and the calculations involved depend on factors such as Leona's weight, the duration of boxing, and other variables. To determine the exact function and calculate the calories burned, specific information about Leona's circumstances and the chosen equation or method of estimation would be needed.
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Thomas gets paid by commission based on sales. he earns 3.5% on the first $3,000, 9% on the next $5,000, and 14% on sales over $8,000. last month he sold $13,000 worth of merchandise. what is his total commission?
Thomas's total commission for last month is $1,255.
Thomas sold merchandise worth $13,000. He earns 3.5% on the first $3,000, which is $105. He earns 9% on the next $5,000, which is $450. The remaining amount is $5,000, and he earns 14% on it, which is $700. Therefore, his total commission is $1,255. WORD COUNT: 69.
To calculate Thomas's total commission on his $13,000 worth of merchandise sales, we will use the commission rates provided. He earns 3.5% on the first $3,000, 9% on the next $5,000, and 14% on sales over $8,000.
First $3,000: $3,000 * 0.035 = $105
Next $5,000: $5,000 * 0.09 = $450
Sales over $8,000: $13,000 - $8,000 = $5,000; $5,000 * 0.14 = $700
Now, add the commission amounts: $105 + $450 + $700 = $1,255.
Thomas's total commission for last month is $1,255.
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If one leg of a right triangle has a length of 7 and the hypotenuse has a length of 12, what is the length of the other leg?
A
19
B
V193
с
195
D5
Answer:
sqrt(95)
Step-by-step explanation:
c^2 = a^2 + b^2
12^2 = 7^2 + b^2
144 = 49 + b^2
95 = b^2
sqrt(95) = b
I will give brainliest!!!
Translate triangle ABC 2 units left and 3 units up.
What are the coordinates for point A'?
(-5,3)
(-4, 4)
(-4,-2)
(0,4)
Answer:
(-4,4)
Step-by-step explanation:
What percentage of rolls were a 6?
Step-by-step explanation:
1 ----> 22 times
2 ----> 16 times
3 ----> 26 times
4 ----> 29 times
5 ----> 1 times
6 ----> 6 times
so , total ----> 100 times
so , percentage of rolls 6 is :-
(6/100 ) × 100%
= 6%
calculate 20 hours into degrees
Answer:
jsjdbxbx bxbxbzv aí bsc
What is the answer ?
Answer:
Change what you have "irrational" to "rational" then you should be good! :)
christina has $22 more than 3 times as much money as melissas has. together they have $122. How much money does each girl have
Divide.
123 : 5
remainder
123 / 5
100 / 5 = 20
20 / 5 = 4
3 = remainder
if you can choose one item from a group of m items and a second item from a group of n items, then the total number of two-item choices is _____
If you can choose one item from a group of m items and a second item from a group of n items, then the total number of two-item choices is m x n.
The total number of two-item choices that can be made when one item is chosen from a group of m items and a second item is chosen from a group of n items is given by the product of the number of choices for the first item and the number of choices for the second item.
The number of choices for the first item is m since there are m items to choose from in the first group, and the number of choices for the second item is n since there are n items to choose from in the second group.
Therefore, the total number of two-item choices is given by m x n. For example, if there are 4 items in the first group and 5 items in the second group, then the total number of two-item choices is 4 x 5 = 20.
This formula for finding the total number of two-item choices can be extended to larger groups of items as well. For instance, if there are three groups of items with sizes m, n, and p, then the total number of three-item choices is given by m x n x p.
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Consider two variable linear regression model : Y = a + Bx+u The following results are given below: EX= 228, EY; = 3121, EX;Y₁ = 38297, EX² = 3204 and Exy = 3347-60, Ex? = 604-80 and Ey? = 19837 and n = 20 Using this data, estimate the variances of your estimates.
The estimated variance of B is 0.000014 and the estimated variance of a is 26.792.
To estimate the variances of the parameter estimates in the linear regression model, we can use the following formulas:
Var(B) = (1 / [n * EX² - (EX)²]) * (EY² - 2B * EXY₁ + B² * EX²)
Var(a) = (1 / n) * (Ey? - a * EY - B * EXY₁)
Given the following values:
EX = 228
EY = 3121
EXY₁ = 38297
EX² = 3204
Exy = 3347-60
Ex? = 604-80
Ey? = 19837
n = 20
We can substitute these values into the formulas to estimate the variances.
First, let's calculate the estimate for B:
B = (n * EXY₁ - EX * EY) / (n * EX² - (EX)²)
= (20 * 38297 - 228 * 3121) / (20 * 3204 - (228)²)
= 1.331
Next, let's calculate the variance of B:
Var(B) = (1 / [n * EX² - (EX)²]) * (EY² - 2B * EXY₁ + B² * EX²)
= (1 / [20 * 3204 - (228)²]) * (3121² - 2 * 1.331 * 38297 + 1.331² * 3204)
= 0.000014
Now, let's calculate the estimate for a:
a = (EY - B * EX) / n
= (3121 - 1.331 * 228) / 20
= 56.857
Next, let's calculate the variance of a:
Var(a) = (1 / n) * (Ey? - a * EY - B * EXY₁)
= (1 / 20) * (19837 - 56.857 * 3121 - 1.331 * 38297)
= 26.792
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please help me im so confused
Answer:
x = 27
Step-by-step explanation:
A circle adds up to 360 degrees. So we make this equation:
2x+21 + 5x+6 + 54 + 90 = 360
Combine like terms:
7x + 171 = 360
Subtract both sides by 171
7x = 189
Divide both sides by 7
x = 27
Answer:
Step-by-step explanation:
this has a bunch of "implied" things that you're supposed to know. one is that all the way around a circle is 360° two is that if you know the angle on the interior.. that is also the arc length.. so knowing those things we can say
360 = 54 + 2x + 21 + 5x + 6 + 90
put like terms together
360 = 171 + 7x
189 = 7x
27 = x