Answer:
Below in bold.
Step-by-step explanation:
speed = distance / time
2.4 * 10^4 = 3.2 * 10^6 /time
Time = 3.2 * 10^6 / 2.4 * 10^4
= 3.2/2.4 * 10^(6-4)
= 1.3333.. * 10^2 hours
= 133 hours ( to 3 significant figures).
Answer this math question for 10 points
Measure of angle:
∠A = 36.86°
∠B = 90°
∠C = 53.13 °
Measure of side ,
AB = 28
BC = 21
CA = 35
Given triangle ABC.
Right angled at B.
Now, using trigonometric ratios to find angle A , B , C .
Right angled at B : ∠B = 90°
Angle A,
SinA = 21/35
∠A = 36.86
Angle C,
SinC = 28/35
∠C = 53.13
Now measures of side.
To find the length of side use sine rule .
Sine rule:
a/sinA = b/sinB = c /sinC
a = opposite side of angle A .
b = opposite site of angle B .
c = opposite side of angle C.
AB = 28
BC = 21
CA = 35
Hence the sides and angles of the triangles are measured .
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The area of a square is 49 square inches. What is the length of a side of the square?
Answer:
7 inch
Step-by-step explanation:
Sqrt 49 = 7
Answer:
7
Step-by-step explanation:
Area is both sides multiplied together
all sides of a square r equal
to find each side, take the square root of 49
side=7
in a randomly generated sequence of 24 binary digits (0s and 1s), what is the probability that exactly half of the digits are 0?
We find that the probability of a randomly generated sequence of 24 binary digits having exactly half of the digits as 0s is C(24, 12) / 2^24.
To find the probability that exactly half of the 24 binary digits are 0s in a randomly generated sequence, we can use the following steps:
Determine the total number of possible sequences.
Since there are 24 binary digits and each digit can be either 0 or 1, the total number of possible sequences is 2^24.
Calculate the number of sequences with exactly 12 0s.
In a sequence of 24 binary digits, we want to choose 12 positions for the 0s. This can be done using the combination formula, which is C(n, k) = n! / (k!(n-k)!), where n is the total number of digits and k is the number of 0s. In this case, n = 24 and k = 12. So, C(24, 12) = 24! / (12! * (24-12)!).
Compute the probability.
Divide the number of sequences with exactly 12 0s by the total number of possible sequences. Probability = C(24, 12) / 2^24.
By following these steps, we find that the probability of a randomly generated sequence of 24 binary digits having exactly half of the digits as 0s is C(24, 12) / 2^24.
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Written as rate 5 miles in 4 hours would be ____ miler per hour
For the distance of 5 miles covered in 4 hours, we can write the unit rate as {r] = 1.25 miles/hour.
What is unit rate?The rate at which one value changes with respect to per unit change in the other value is called the unit rate. Mathematically -
{ r } = y/x .... Eq { 1 }
Given is the distance of 5 miles covered in 4 hours.
We can write the unit rate as -
{r} = 5/4
{r} = 1.25 miles/hour
Therefore, for the distance of 5 miles covered in 4 hours, we can write the unit rate as {r] = 1.25 miles/hour.
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Which of the following values is the solution to the equation
m + (-38) = 15 ?
1.)53
2.)-53
3.)-23
4.)23
Answer:
Step-by-step explanation:
m -38 = 15
m = 53
the answer is 1
Answer: the answer to your question is 53...
Explanation: I know I'm super late but let me explain why it's 53...
If you go on a calculator and type 53+ (-38) the answer would be 15 which can only mean that M=53. That is why it is 53 go try it out...
like I said I'm sorry I'm late... Brainliest?
Which statement explains whether 0.1515 is rational?
A Yes, because 0.1515 is a repeating decimal, so it can be expressed as a ratio of integers.
B Yes, because 0.1515 is a terminating decimal, so it can be expressed as a ratio of integers.
(c) No, because 0.1515 is a repeating decimal, so it cannot be expressed as a ratio of integers.
D No, because 0.1515 is a terminating decimal, so it cannot be expressed as a ratio of integers.
A statement that explains whether 0.1515 is rational: Yes, because 0.1515 is a repeating decimal, so it can be expressed as a ratio of integers.
The correct answer is an option A
We need to select a correct statement that explains whether 0.1515 is rational.
We can observe that 0.1515 is the recurring decimal 0.15
This decimal can be written as a ratio of two integers.
Consider numerator = 5 and the denominator = 33.
So, 5/33 = 0.1515..
This means, 0.1515 can be expressed as p/q where p, q are integers with q ≠ 0
Therefore, a statement that explains whether 0.1515 is rational: Yes, because 0.1515 is a repeating decimal, so it can be expressed as a ratio of integers.
The correct answer is an option A
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Mrs. Jackson gives the table below to her students. In order for the function to be linear, what must a be and why? a = 22 because the rate of change is 1. a = 20 because the rate of change is 3. a = 22 because the rate of change is –1. a = 20 because the rate of change is –3.
Answer:
D
Step-by-step explanation:
a = 20 because the rate of change is –3.
What is a linear function?A linear function has one independent variable and one based variable. The independent variable is x and the based variable is y. a is the steady time period or the y-intercept. it's far the cost of the dependent variable while x = zero.
What are the requirements for functions to be linear?Which will be a linear feature, a graph needs to be both linear (a direct line) and a characteristic (matching each x-value to the most effective y-value). It must also pass a polygraph check, complete an obstacle path, and offer a minimum of 3 references. The qualifications are stringent.
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What are the domain and range of f(x) = 2(3x)? domain: (negative infinity, infinity); range: (0, infinity) domain: (negative infinity, infinity); range: (2, infinity) domain: (0, infinity); range: (negative infinity, infinity) domain: (2, infinity); range: (negative infinity, infinity)
The given function is f(x) = 2(3x) = 6x.
The domain of the function is all real numbers since there are no restrictions on the input x. Therefore, the correct answer is:
Domain: (-∞, ∞)
To find the range, we can consider the fact that the function is a linear function with a positive slope of 6. This means that the output values increase as the input values increase.
The lowest possible output value occurs when x = 0, which gives f(0) = 0. As x increases, the output values increase without bound. Therefore, the range of the function is:
Range: (0, ∞)
So, the correct answer is:
Domain: (-∞, ∞)
Range: (0, ∞)
a video is 20 min long. devin made the video faster 2 times. how many minutes and what fraction is the answer?
Answer:
10 minutes. 1/2
Step-by-step explanation:
Answer:
10/20???
Step-by-step explanation:
Can someone please help me
Answer:
high school is hard :(
Step-by-step explanation:
suppose the proportion of students in school a diagnosed with adhd is p1 and the proportion of students in school b diagnosed with adhd is p2. state the null hypothesis for a test to determine if school a has the lower proportion of students diagnosed with adhd.
H0: p1 ≥ p2 (Null hypothesis: Proportion of ADHD-diagnosed students in School A is equal to or greater than in School B)
Null Hypothesis: The proportion of students diagnosed with ADHD in School A is equal to or greater than the proportion of students diagnosed with ADHD in School B.
Symbolically, the null hypothesis can be stated as:
H0: p1 ≥ p2
Where:
H0: Null Hypothesis
p1: Proportion of students diagnosed with ADHD in School A
p2: Proportion of students diagnosed with ADHD in School B
In other words, the null hypothesis assumes that there is no significant difference or that School A may have an equal or higher proportion of students diagnosed with ADHD compared to School B.
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x u y = {z l z ∈ x or z ∈ y} is a
X u y = {z l z ∈ x or z ∈ y} is a valid set builder notation. Yes, this is a valid set builder notation. This specifies the elements of the set.
A set builder notation is a way of expressing a set using a description of its elements. In this particular set builder notation, the set consists of all elements that are either in set x or set y.
The notation is written as {z l z ∈ x or z ∈ y}, where the curly braces denote the set and the statement "z ∈ x or z ∈ y" specifies the elements of the set. This is a valid set builder notation because it correctly expresses the elements of the set.
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Sid mows two lawns.the first lawn is 60 feet wide.the area of the second lawn is three times as big but has the same width as the first. what is the length of the second lawn
The length of the second lawn, L2, is three times the length of the first lawn, L1, for the given rectangular lawn.
To find the length of the second lawn, we need to determine the area of the first lawn and then calculate the length of the second lawn based on that.
The area of a rectangle can be found by multiplying its length by its width. Given that the width of the first lawn is 60 feet, we can find its area by multiplying 60 feet by the length of the first lawn.
Let's assume the length of the first lawn is L1. So, the area of the first lawn is 60 feet * L1.
The area of the second lawn is three times as big as the area of the first lawn. So, we can write the equation:
Area of second lawn = 3 * Area of first lawn
Substituting the values we know, we have:
60 feet * L2 = 3 * (60 feet * L1)
Now, let's simplify this equation:
L2 = 3 * L1
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y=a|x-h|+k please help
Answer:
i can't answer this but i can tell you this
The general form of an absolute value function is f(x)=a|x-h|+k. From this form, we can draw graphs.
y = a(x – h)2 + k, where (h, k) is the vertex. ... In the vertex form of the quadratic, the fact that (h, k) is the vertex makes sense if you think about it for a minute, and it's because the quantity "x – h" is squared, so its value is always zero or greater; being squared, it can never be negative.
Step-by-step explanation:
it is not the answer but i hope it helps:)
Solve for b
a) 2b x 3 = 6 c) 6 + 7b = 41
b) 32 - 3b = 2 d) 100/ 5b = 2
a) The solution for b in the equation 2b × 3 = 6 is b = 1.
b) The solution for b in the equation 32 - 3b = 2 is b = 10.
c) The solution for b in the equation 6 + 7b = 41 is b = 5.
d) The solution for b in the equation 100/5b = 2 is b = 10.
a) To solve for b in the equation 2b × 3 = 6, we can start by dividing both sides of the equation by 2 to isolate b.
2b × 3 = 6
(2b × 3) / 2 = 6 / 2
3b = 3
b = 3/3
b = 1
Therefore, the solution for b in the equation 2b × 3 = 6 is b = 1.
c) To solve for b in the equation 6 + 7b = 41, we can start by subtracting 6 from both sides of the equation to isolate the term with b.
6 + 7b - 6 = 41 - 6
7b = 35
b = 35/7
b = 5
Therefore, the solution for b in the equation 6 + 7b = 41 is b = 5.
b) To solve for b in the equation 32 - 3b = 2, we can start by subtracting 32 from both sides of the equation to isolate the term with b.
32 - 3b - 32 = 2 - 32
-3b = -30
b = (-30)/(-3)
b = 10
Therefore, the solution for b in the equation 32 - 3b = 2 is b = 10.
d) To solve for b in the equation 100/5b = 2, we can start by multiplying both sides of the equation by 5b to isolate the variable.
(100/5b) × 5b = 2 × 5b
100 = 10b
b = 100/10
b = 10.
Therefore, the solution for b in the equation 100/5b = 2 is b = 10.
In summary, the solutions for b in the given equations are:
a) b = 1
c) b = 5
b) b = 10
d) b = 10
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Four students shared 50 marbles so that one gets 10, one gets 12, and another gets 20, what percentage of the set of marbles did the 4th child get?
Answer:
the 4th students gets 8 marbles
Step-by-step explanation:
10+20=30+12=42
50-42=8
match the following function of sales management with tasks involved with each.
The following table shows the function of sales management and the tasks involved with each:
Function Tasks
Planning Develop sales goals, strategies, and plans.
Organizing Develop sales territories, assign sales quotas, and create sales reports.
Leading Motivate and coach sales team members, provide feedback, and resolve conflicts.
Controlling Monitor sales performance, identify and address problems, and make necessary adjustments.
Sales management is the process of planning, organizing, leading, and controlling the sales force. The goal of sales management is to increase sales and revenue. Sales managers use a variety of tools and techniques to achieve this goal, including:
Sales planning: Sales managers develop sales goals, strategies, and plans. They also identify target markets and develop marketing campaigns.
Sales organizing: Sales managers develop sales territories, assign sales quotas, and create sales reports. They also provide sales training and support.
Sales leading: Sales managers motivate and coach sales team members, provide feedback, and resolve conflicts. They also create a positive and productive work environment.
Sales controlling: Sales managers monitor sales performance, identify and address problems, and make necessary adjustments. They also ensure that the sales force is meeting sales goals.
Sales management is a complex and challenging role, but it is also a rewarding one. Sales managers have the opportunity to make a real difference in the success of a company.
In addition to the tasks listed in the table, sales managers may also be responsible for:
Recruiting and hiring sales representatives: Sales managers are responsible for finding and hiring qualified sales representatives. They also need to train and develop new sales representatives.
Compensation and benefits: Sales managers are responsible for developing compensation and benefits plans for sales representatives. They also need to ensure that sales representatives are paid fairly and that they have access to the benefits they need.
Performance evaluation: Sales managers are responsible for evaluating the performance of sales representatives. They also need to provide feedback and coaching to help sales representatives improve their performance.
Motivation: Sales managers need to motivate sales representatives to achieve sales goals. They can do this by providing incentives, setting challenging goals, and providing positive reinforcement.
Team building: Sales managers need to build a strong sales team. They can do this by creating a positive and supportive work environment, providing training and development opportunities, and recognizing and rewarding team members for their accomplishments.
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Based on the SPSS output below and an alpha of 0.05, what can you conclude about the relationship between height and weight?
Coefficientsa
Model
Unstandardized Coefficients
Standardized Coefficients
t
Sig.
B
Std. Error
Beta
1
(Constant)
-114.3
399.929
-2.265
.028
Height
106.5
.027
.794
9.135
.000
a. Dependent Variable: Weight
answer choices
Based on a test statistic>0.05, there is not enough evidence to conclude there is a linear relationship between height and weight.
Based on a p-value>0.05, there is not enough evidence to conclude there is a linear relationship between height and weight.
Based on a p-value<0.001, we can conclude there is a linear relationship between height and weight.
Based on a test statistic<0.05, we can conclude there is a linear relationship between height and weight
Based on the SPSS output and an alpha of 0.05, the appropriate conclusion is that there is a linear relationship between height and weight.
In the given SPSS output, the p-value for the height coefficient is "Sig." and is reported as .000, which is less than the alpha level of 0.05.
Since the p-value is less than the chosen alpha level, Therefore, conclude that there is a linear relationship between height and weight.
The very small p-value suggests strong evidence in favor of a linear relationship between height and weight.
Thus, the correct answer is: Based on a p-value < 0.001
∴there is a linear relationship between height and weight.
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A rectangular yard measures 12 feet by 10 feet. Find the cost of installing a fence around the yard if the fence costs
$3.10 per foot
Answer:
$372
Step-by-step explanation:
12 × 10 = 120
1 foot = $3.10
120 feet = ?
120 feet × $3.10
= $372
$372÷ 1 foot = $372
Joseph has a bag filled with 2 red, 4 green, 10 yellow, and 9 purple marbles. Determine P(not yellow) when choosing one marble from the bag.
8%
24%
40%
60%
Answer:
The correct is 60%
Step-by-step explanation:
The total number of marbles in the bag is:
2 + 4 + 10 + 9 = 25
The probability of selecting a yellow marble from the bag is:
P(yellow) = 10/25 = 2/5
Therefore, the probability of not selecting a yellow marble (i.e., selecting a red, green, or purple marble) is:
P(not yellow) = 1 - P(yellow) = 1 - 2/5 = 3/5 = 60%
Therefore, the answer is 60%.
Triangle DEF is reflected over the y-axis, and then translated down 4 units and right 3 units. Which congruency statement describes the figures?
A. ΔDEF ≅ ΔSUR
B. ΔDEF ≅ ΔSRU
C. ΔDEF ≅ ΔRSU
D. ΔDEF ≅ ΔRUS
9514 1404 393
Answer:
B. ΔDEF ≅ ΔSRU
Step-by-step explanation:
Reflection changes corresponding vertices from CCW order to CW order. Vertex D gets reflected to (-6, 4), then translated to (-3, 0). After this transformation, its image is vertex S. The vertices in CW order from S are SRU. Hence, ΔDEF ≅ ΔSRU, matching choice B.
If y = 4 find slope, X-intercept and y-intercept.
Answer:
An equation in the form y = mx + b is in the 'slope y-intercept' form where m is the slope and b is the y-intercept. We can rewrite our equation, y = 4, in slope y-intercept form as follows: y = 0x + 4. Here, it is clear that the slope, or m, is zero. Therefore, the slope of the horizontal line y = 4 is zero
what is the answer for -3(n+6)+10=-8 what would n be?
Answer:
n = 0
Step-by-step explanation:
Answer:
Step-by-step explanation:
-3(n+6) +10 = -8 distribute the -3
-3n -18 +10 = -8 combine like terms
-3n -8 = -8 add 8 to each side to get the -3n by itself
-3n = 0 divide each side by -3
n = 0
The area of the square in the figure below is 16 square inches. Solve for "s", the length of one side. Explain
the solution.
▪️▪️▪️▪️
▪️▪️▪️▪️
▪️▪️▪️▪️
▪️▪️▪️▪️
Area = 16 in²
A=S²
A=16
s²=16
Answer:
4
Step-by-step explanation:
\(\sqrt{16}\) = 4
The side lengths of the square is 4.
Area = Length times width
Area = 4 x 4
Are = 16
A cylinder fitted with a movable piston contains ideal gas at 27 degrees C, pressure 0.50*10^5 Pa, and volume 1.25 m. What will be the final temperature if the gas is compressed to 0.80 m^3 and the pressure rises to 0.82*10^5 Pa?
The final temperature is calculated to be 41.8 degrees Celcius if the gas is compressed to 0.80 m^3 and the pressure rises to 0.82*10^5 Pa
The final temperature can be calculated by using the combined gas law as follows;
\(\frac{P_{1}V_{1} }{T_{1} } = \frac{P_{2}V_{2} }{T_{2} }\)
Here \(P_{1}\) and \(P_{2}\) represent the initial and final pressure respectively,
\(V_{1}\) and \(V_{2}\) represent the initial and final volume respectively
\(T_{1}\) and \(T_{2}\) represent the initial and final temperature respectively
Converting \(T_{1}\) to kelvin as follows;
\(T_{1}\) = 27 degrees Celcius = 27 + 273 = 300 K
Now the final temperature can be determined by substituting the values in this equation of the combined gas law as follows;
(0.50×10^5)(1.25) / 300 = (0.82×10^5)(0.80) / \(T_{2}\)
208.333333333 = (0.82×10^5)(0.80) / \(T_{2}\)
208.333333333 (\(T_{2}\)) = (0.82×10^5)(0.80)
\(T_{2}\) = (0.82×10^5)(0.80) ÷ 208.333333333
\(T_{2}\) = 314.8 K
Converting K to degree Celcius as follows;
\(T_{2}\) = 314.8 - 273 = 41.8 degree Celcius
Hence 41.8 degrees Celcius is calculated to be the final temperature.
Although a part of your question is incorrect, you might be referring to this question:
A cylinder fitted with a movable piston contains ideal gas at 27 degrees C, pressure 0.50*10^5 Pa, and volume 1.25 m^3. What will be the final temperature if the gas is compressed to 0.80 m^3 and the pressure rises to 0.82*10^5 Pa?
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a professor does not believe that his students spend 2 hours on average studying for the final exam. he thinks they spend more time than that. what are the null and alternative hypotheses, respectively?
The null hypothesis (H0) is that the average time spent studying is 2 hours or less, while the alternative hypothesis (H1 or Ha) is that the average time spent studying is more than 2 hours.
The null hypothesis (H0) is a statement of no effect or no difference, while the alternative hypothesis (H1 or Ha) is a statement of the opposite, suggesting that there is an effect or a difference.
In this case, the professor does not believe that his students spend 2 hours on average studying for the final exam and thinks they spend more time than that.
The null hypothesis (H0) would be that the average time spent studying for the final exam is indeed 2 hours or less:
H0: μ ≤ 2
The alternative hypothesis (H1 or Ha) would be that the average time spent studying for the final exam is more than 2 hours:
Ha: μ > 2
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Write an equation for the line that passes through E(4, -3) and is parallel to the line
0 = 5x - 7y - 27 Write the equation in general form.
Answer:
make y the subject first
Step-by-step explanation:
y=5/7(x) -27/7
parallel lines have equal gradient m1=m2
y-y1=m(x-x1)
y-(-3)=5/7(x-4))
y=5/7(x) -20/7 -3
final answer
y=5/7(x) -41/7
PLEASE HELP IM STUCK
Answer:
-2
Step-by-step explanation:
Let f(x)=y.
\(x=6y+12 \\ \\ x-12=6y \\ \\ y=f^{-1}(x)=\frac{x}{6}-2\)
help!!! meee ASAPPP 18 + brainlest
Answer:
Angle CFD = 30°
Step-by-step explanation:
HOPE THIS HELP YOU,FOR ANY QUESTION PLEASE ASK ME
find the coefficient of the given term when the expression is expanded by the binomial theorem. x^7 in (2x 3)^10
The coefficient of the given term \(x^7\) in the given binomial expansion of \((2x + 3)^{10}\), is 138,240.
The coefficient of the term \(x^7\) in the expansion of \((2x + 3)^{10}\) can be found using the binomial theorem.
The coefficient is calculated by applying the combination formula and multiplying the appropriate terms.
The binomial theorem allows us to expand expressions of the form (a + b)^n, where a and b are constants and n is a positive integer.
The expansion gives us a sum of terms, each with a coefficient and a power of a and b.
In this case, we have (2x + 3)^10. To find the coefficient of \(x^7\), we need to determine the term that contains \(x^7\) and calculate its coefficient.
According to the binomial theorem, the term that contains \(x^7\) is given by the combination formula: C(10, k) * (2x)^(10-k) * (3^k), where k is the power of (2x) in the term.
In this case, we want to find the term with \(x^7\), so we set k = 3.
Using the combination formula, C(10, 3) = 10! / (3! * (10-3)!) = 120.
The term also includes (2x)^(10-3) = (2x)^7 and (3^3) = 27.
Multiplying these values together, we get the coefficient of \(x^7\): 120 * (2^7) * (27).
Simplifying the expression gives us 138,240.
Therefore, the coefficient of the term \(x^7\) in the expansion of \((2x + 3)^{10}\) is 138,240.
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