Answer:
4096
Step-by-step explanation:
used a calculator but u always do indicies first due to bidmas
Answer:
4096
Step-by-step explanation:
The little two on top of the 32 means squared or that we need to multiply 32 by itself.
So 32*32 equals 1024
Then we multiply it by 4 to give us 4096.
What is the perimeter of the triangle
Answer:
32
Step-by-step explanation:
all you have to do is add all the sides together .
What is the solution of the equation y2 = 64?
a. 32
b. 8 or –8
c. 8
d. –8
Answer:
a 32 is the answer
Step-by-step explanation:
y2=64
y=64/2
y=32
two dice are rolled, one blue and one red. how many outcomes have either the blue die 3 or an even sum or both?
There are 25 possible outcomes where we either get a blue die 3 or an even sum or both.
To solve this problem, we need to use the concept of probability. Probability is the likelihood of an event occurring, expressed as a number between 0 and 1. In this case, we want to find the probability of rolling either a blue die 3 or an even sum or both.
First, let's count the number of outcomes where the blue die is 3. There is only one way to get a 3 on the blue die, and the red die can be any number from 1 to 6. Therefore, there are 6 possible outcomes where the blue die is 3.
Next, let's count the number of outcomes where we get an even sum. There are three ways to get an even sum: (1,1), (2,2), and (3,3). For each of these outcomes, the blue die can be any number from 1 to 6. Therefore, there are 18 possible outcomes where we get an even sum.
Finally, let's count the number of outcomes where we get both a blue die 3 and an even sum. There is only one way to get a blue die 3 and an even sum: (3,3). Therefore, there is only one possible outcome where we get both a blue die 3 and an even sum.
To find the total number of outcomes that have either a blue die 3 or an even sum or both, we need to add the number of outcomes where the blue die is 3, the number of outcomes where we get an even sum, and the number of outcomes where we get both. This gives us:
6 + 18 + 1 = 25
Therefore, there are 25 possible outcomes where we either get a blue die 3 or an even sum or both.
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HELP ME PLEASE!!!!! ITS EASY 10 POINTS
Answer:
x=3
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
I did this on a quiz and I got it right :)
The bird flew 10 meters in 4 seconds.
Complete the double number line to represent this.
The double number line that represents the distance and time of the bird shows the equivalent in the given values which is further illustrated in the attached diagram.
What is number line?Number line is defined as the representation of numbers in suc a way that numbers at the right side of the line are positive and larger than the numbers at the left which are negative.
The double number line is defined as the type of number line that contains two labelled parallel lines that contains figures that are marked at equal increments.
From the attached diagram, the first line is labelled the distance covered by the bird which is measured in meters.
The second line is labelled the time used by the bird to cover the given distance.
The given values of both the distance and time is shown to have an equivalent ratio which appears vertically on the double number line.
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The line has been partitioned into three angles. Is there a triangle with these three angle measures? The degrees are 39,42,99 Please help quick!!!!!!!!!!
Answer:
yes it is
Step-by-step explanation:
a triangles measures are supposed to add up to 180, since 39+42+99=180 then its a traingle
Brainliest?
Yes, there is a triangle with these three angles measuring 39°, 42°, and 99°.
Given,
The line has been partitioned into three angles.
Is there a triangle with these three angle measures?
The degrees are 39,42,99.
What is the sum of angles in a triangle?The sum of the angles in a triangle is 180 degrees.
The sum of all the angles in a straight angle is 180 degrees.
We have,
39°, 42°, and 99°.
The sum of the angles is:
= 39 + 42 + 99
= 180 °
The sum of the angles in a triangle is 180 degrees.
Thus,
Yes, there is a triangle with these three angles measuring 39°, 42°, and 99°.
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which of the following is (are) time series data? i. weekly receipts at a clothing boutique ii. monthly demand for an automotive part iii. quarterly sales of automobiles
i. weekly receipts at a clothing boutique
ii. monthly demand for an automotive part
Which data sets represent time series data?Time series data refers to information collected and recorded at regular intervals over a specific period. In the case of i. weekly receipts at a clothing boutique and ii. monthly demand for an automotive part, both data sets are examples of time series data.
Time series data consists of observations recorded over regular intervals, allowing for the analysis of patterns and trends over time. In i. weekly receipts at a clothing boutique, the data is collected on a weekly basis, providing insights into the boutique's revenue fluctuations over different weeks. Similarly, ii. monthly demand for an automotive part captures the demand for the part on a monthly basis, enabling analysis of monthly variations and seasonal patterns.
On the other hand, iii. quarterly sales of automobiles do not fall under time series data. While it represents sales data, the intervals between measurements are not consistent enough to qualify as time series. Quarterly intervals are less frequent and may not capture shorter-term trends or variations as effectively as weekly or monthly intervals.
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the association between the amount of money a person spends on bills per month and the amount of money the person has available to spend on entertainment is
The association between the amount of money a person spends on bills per month and the amount of money the person has available to spend on entertainment can vary greatly depending on individual circumstances.
For some people, their bills may take up a significant portion of their income, leaving them with very little discretionary spending. Others may have lower bills and more income, allowing them to spend more on entertainment.
It's important to note that there may also be other factors at play, such as a person's financial priorities and habits. For example, someone may choose to spend more on bills in order to pay off debt or save for the future, even if it means having less money for entertainment. On the other hand, someone else may prioritize entertainment spending and cut back on bills in order to afford it.
Overall, while there may be some correlation between bill spending and available entertainment funds, the relationship is complex and highly individualized. It's important for each person to assess their own financial situation and priorities in order to determine the best way to allocate their funds.
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which city is the oldest
Answer:
St. Augustine
Step-by-step explanation:
Martha was recarpeting her bedroom, which was 15 feet long and 10 feet wide. How many square feet (the area) will she need to purchase?
Answer:
150 Square feet
Step-by-step explanation:
15 feet long
10 feet wide
Area = length x width
15 x 10 = 150
150 Square feet
Hope this helped!
Find a positive number such that the sum of and is as small as possible. does this problem require optimization over an open interval or a closed interval? a. closed b. open
To find a positive number such that the sum of and is as small as possible, we need to use optimization. This problem requires optimization over a closed interval. The given problem is as follows, Let x be a positive number. Find a positive number such that the sum of and is as small as possible.
To find a positive number such that the sum of and is as small as possible, we need to use optimization. This problem requires optimization over a closed interval. The given problem is as follows, Let x be a positive number. Find a positive number such that the sum of and is as small as possible. So, we need to minimize the sum of and . Now, let's use calculus to find the minimum value of the sum.To find the minimum value, we have to find the derivative of the sum of and , i.e. f(x) with respect to x, which is given by f '(x) as shown below:
f '(x) = 1/x^2 - 1/(1-x)^2
We can see that this function is defined on the closed interval [0, 1]. The reason why we are using the closed interval is that x is a positive number, and both endpoints are included to ensure that we cover all positive numbers. Therefore, the problem requires optimization over a closed interval. This means that the minimum value exists and is achieved either at one of the endpoints of the interval or at a critical point in the interior of the interval.
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kylie created a table with a skill number column that contains values from 400 to 500. what type of filter can she use to select records with skill numbers less than 450?
Answer: Number filter
Step-by-step explanation:
The width of a plastic storage box is 2 ft longer then the height the length is a 5 ft longer than the height the volume is 216ft3
What is the formula for the volume of a rectangular prism?
What variable expressions represent the length height and width?
What equation represents the volume of the plastic storage box
Answer:
See belowStep-by-step explanation:
Let the dimensions are width - w, length - l and height - h.
Givenw = h + 2,l = h + 5,Volume = 216 ft³.SolutionFormula for volume:
V = lwhVariable expressions for length, height and width:
l = h + 5,h,w = h + 2Equation for the volume of this box:
V = lwhSubstitute the variables:
V = h(h + 2)(h + 5)or
h(h + 2)(h + 5) = 216Answer:
a) V = l × w × h b) l = (h + 5), w = (h + 2), h = h c) 216 = (h + 5)(h + 2)(h)Step-by-step explanation:
a) Formula we use,
→ V = l × w × h
b) The variable expressions are,
→ l = (h + 5)
→ w = (h + 2)
→ h = h
c) Forming required equation,
→ V = l × w × h
→ V = (h + 5)(h + 2)(h)
→ 216 = (h + 5)(h + 2)(h)
These are the required answers.
Simplify 7(A - 6).
7A - 42
7A - 6
A - 6
FIRST ONE GETS A BRAIN LIST?!
Answer:
7A - 42
Step-by-step explanation:
\(7(A - 6) \\ = 7A - 7 \times 6 \\ = 7A - 42\)
I really really need help with this
Answer:
c) 21
Step-by-step explanation:
\( \sqrt{169} + \sqrt{64} \)
13+8
answer is 21
a truck holds at most 20.000 lb. there are 18 boxes on the truck. eaxh weighs 750 lb. how many additional boxes can the truck hold? graph the solution show your work
Answer:
6
Step-by-step explanation:
750 x 18 = 13,500lb
Remaining weight until truck is full = 20,000 - 13,500 = 6,500
6,500 ÷ 750 = 8.66666666667
You cannot have 8.666... of a box and therefore, the answer = 6
The number of additional boxes the truck can hold is n = 8 boxes
What are Linear Equations?An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.
The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution
On a graph, a linear equation forms a straight line. On a graph, a nonlinear equation produces an S-curve, a bell curve, or another nonlinear shape.
Given data ,
Let the number of additional boxes the truck can hold be n
Now , the equation is
The truck holds at most 20,000 lb
The initial number of boxes in the truck = 18 boxes
The weight of each box = 750 lb
So , the total weight of the each box = 18 x 750 = 13,500 lb
Now , the linear equation is
The total weight of the each box + 750n ≤ 20,000
On simplifying , we get
13,500 + 750 ( n ) ≤ 20,000
Subtracting 13,500 on both sides , we get
750n ≤ 6500
Divide by 750 on both sides , we get
n ≤ 8.667
So , the number of additional boxes i 8 boxes
Hence , the linear equation is solved
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how many solutions are there to square root x =9
Answer:
There are 2 solutions to square root x = 9
They are 3, and -3
Step-by-step explanation:
The square root of x=9 has 2 solutions,
The square root means, for a given number, (in our case 9) what number times itself equals the given number,
Or, squaring (i.e multiplying with itself) what number would give the given number,
so, we have to find the solutions to \(\sqrt{9}\)
since we know that,
\((3)(3) = 9\\and,\\(-3)(-3) = 9\)
hence if we square either 3 or -3, we get 9
Hence the solutions are 3, and -3
test the hypothesis using the p-value approach. be sure to verify the requirements of the test. h0: p
Answer:To conduct a hypothesis test using the p-value approach, the general steps are as follows:
State the null hypothesis (H₀) and the alternative hypothesis (H₁) based on the research question or claim.
Choose an appropriate statistical test based on the type of data and the research question.
Collect the necessary data and calculate the test statistic.
Determine the significance level (α) for the test, which will dictate the critical value or the region of rejection.
Calculate the p-value, which represents the probability of observing the obtained test statistic or more extreme values under the null hypothesis.
Compare the p-value to the significance level (α) to make a decision.
If the p-value is less than α, reject the null hypothesis in favor of the alternative hypothesis.
If the p-value is greater than or equal to α, fail to reject the null hypothesis.
Step-by-step explanation:
Eight identical lights are connected in series across a 110-V line. What is the voltage across each bulb? If the current is 0.56A , what is the resistance of each bulb? If the current is 0.56A , what is the power dissipated in each?
The resistance of each bulb that is connected in series with a 110 V line is 24.55 Ω with a 13.75 V Voltage difference across each bulb. The power dissipated in each bulb is 7.7 W, if 0.56 A current flows through them.
The voltage across 8 identical bulbs is 110 V
Since they are connected in a series and identical, the Voltage difference across each bulb is \(\frac{110}{8}\) V which is 13.75 V
According to the question,
The current flowing through the bulb = 0.56 A
So according to Ohm's Law,
V = IR
13.75 = 0.56 * R
R = 24.55 Ω
The power dissipated in each bulb can be calculated as
P = VI
P = 13.75 * 0.56 = 7.7 W
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In summary, the voltage across each bulb is 13.75V, the resistance of each bulb is 24.55Ω, and the power dissipated in each bulb is 7.7W.
When eight identical lights are connected in series across a 110-V line, the voltage across each bulb will be 110/8 = 13.75 V.
To find the resistance of each bulb, we can use Ohm's law, which states that resistance is equal to voltage divided by current (R = V/I). Therefore, the resistance of each bulb is 13.75/0.56 = 24.55 ohms.
To find the power dissipated in each bulb, we can use the formula P = VI, where P is power, V is voltage, and I is current. Therefore, the power dissipated in each bulb is 13.75 x 0.56 = 7.7 watts.
To find the voltage across each bulb, divide the total voltage by the number of bulbs:
Voltage across each bulb = Total Voltage / Number of Bulbs = 110V / 8 = 13.75V per bulb
Next, use Ohm's Law to find the resistance of each bulb:
Resistance (R) = Voltage (V) / Current (I) = 13.75V / 0.56A = 24.55Ω per bulb
Finally, find the power dissipated in each bulb using the formula:
Power (P) = Voltage (V) x Current (I) = 13.75V x 0.56A = 7.7W per bulb
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What are the two consecutive integers that √300 is between
A. 17 and 18
B. 289 and 324
C. 16 and 20
Answer:
hi there
17 and 18
17 times 17 equals 289
18 times 18 equals 324
Step-by-step explanation:
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what is a constant
Answer:
A value that does not change
Answer:
In mathematics, the word constant can have multiple meanings. As an adjective, it refers to non-variance; as a noun, it has two different meanings: A fixed and well-defined number or other non-varying mathematical object.
Step-by-step explanation:
What is the slope of line t?
Answer:
9 /89
Step-by-step explanation:
Compare the budgets of Hong Kong, United States of America, and
Korea based on your definition of a budget, in terms of contents,
formats, advantages, and disadvantages, etc.
The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.
A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:
Hong Kong Budget:United States Budget:
Contents: The US budget comprises revenue, expenditures, and deficit or surplus. It includes an analysis of taxes, social security, and Medicare.Format: The US budget is presented in a complex and lengthy format, including tables, graphs, and other financial documents.Advantages: The budget provides detailed information on tax expenditures and encourages public participation in the budget process.Disadvantages: The budget can be challenging to understand due to its complexity, and it may not provide an accurate depiction of federal spending.Korean Budget:
Contents: The Korean budget comprises revenue, expenditures, and surplus or deficit. It includes detailed information on taxes, social security, and public welfare.Format: The Korean budget is presented in a clear and concise format, including tables and charts to aid understanding.Advantages: The budget is easy to understand, and it promotes transparency and accountability. It also provides detailed information on social welfare expenditures.Disadvantages: The budget may not provide an accurate depiction of government spending, and it may not include information on hidden expenditures.Learn more about Budget:
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The distribution of scores on a recent test closely followed a Normal Distribution with a mean of 22 points and a standard deviation of 2 points. For this question, DO NOT apply the standard deviation rule.(a) What proportion of the students scored at least 26 points on this test, rounded to five decimal places?.02275(b) What is the 71 percentile of the distribution of test scores, rounded to three decimal places?24.073
a) The proportion of the students scored at least 26 points on this test is 0.02275.
b) The 71 percentile of the distribution of test scores is 24.073
What is meant by standard deviation?A low standard deviation suggests that values are often close to the mean of the collection, whereas a large standard deviation suggests that values are dispersed over a wider range.
Standard deviation, often known as SD, is most frequently represented in mathematical texts and equations by the lower case Greek letter (sigma), for the population standard deviation, or the Latin letter s, for the sample standard deviation.
Let the scores be X and X is normally distributed with a mean of 22 and standard deviation of 2.
μ=22
σ=2
X≈N(22,2)
a) P(X≥26)=P(((X-μ)/σ)≥(26-μ)/σ)
=1-P(Z≥2)
=1-P(Z<2)
=1-0.97725
=0.02275
b) Let a is the 71th percentile of X,
P(X≤a)=0.71
P((X-μ)/σ)≤(a-μ)/σ)=0.71
P(Z≤z)=0.71
From the standard normal table by calculating with z value, we get
a=24.073
Therefore,
a) The proportion of the students scored at least 26 points on this test is 0.02275.
b) The 71 percentile of the distribution of test scores is 24.073.
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8.65 percent compounded monthly. (Round answer to 2 decimal places, e.g. 15.25%.) Effective annual rate \%
The effective annual rate for a 8.65% interest compounded monthly is 9.14%.
To calculate the effective annual rate, we need to take into account the compounding frequency. In this case, the interest is compounded monthly.
We can use the formula for compound interest to calculate the effective annual rate:
Effective Annual Rate = (1 + (interest rate / compounding frequency))^compounding frequency - 1
Plugging in the given values:
Effective Annual Rate = (1 + (8.65% / 12))^12 - 1
= (1 + 0.0072083)^12 - 1
= 1.0072083^12 - 1
≈ 0.0914 or 9.14%
Therefore, the effective annual rate for a 8.65% interest compounded monthly is approximately 9.14%.
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Kendra ordered the remaining items. if she has a $10.00 bill, how much will she need to borrow from one of her friends?
Kendra will need to borrow the total cost of the remaining items minus her $10.00 bill: the difference C - $10.00 to complete the payment.
To determine how much Kendra needs to borrow from one of her friends, we need to find the total cost of the remaining items she ordered. Let's assume the total cost of the remaining items is represented by "C" dollars.
Since Kendra has a $10.00 bill, she can pay $10.00 upfront. To cover the remaining cost of the items, she will need to borrow the difference between the total cost and her available money. Mathematically, this can be represented as:
Amount to borrow = Total cost - $10.00
Amount to borrow = C - $10.00
By knowing the value of "C," we can calculate the exact amount she needs to borrow to pay for the remaining items. The value of "C" will depend on the prices of the items she ordered. If the total cost C is less than $10.00, she won't need to borrow anything as her $10.00 bill will be sufficient to cover the cost.
Otherwise, if the total cost C is greater than $10.00, she will need to borrow the difference C - $10.00 to complete the payment.
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Which of the following equations is NOT an example of inverse
variation?
1. f(x) = kx
11. f(x) = 2k/x
III. f(x) =-kx/z
Answer:
i and iii are not examples of inverse variation.
Step-by-step explanation:
Inverse variation between two variables, y and x, is written as:
y = k/x
This means that, as the absolute value of x increases, the absolute value of y decreases.
So we need to have the variable in the denominator.
Let's analyze the given options:
i) f(x) = k*x
Here, x is not in the denominator, this is a direct variation, so this is not an example of inverse variation.
ii) f(x) = 2k/x
Here we can see that the variable x is in the denominator, thus, this is an inverse variation.
iii) f(x) = -k*x/z
We can see that we have z in the denominator, but you can see that the variable is x, and x is in the numerator, thus, this is not an example of inverse variation.
We can conclude that:
f(x) = kx
and
f(x) =-kx/z
Are not examples of inverse variation.
which of the following equations have the given m and b?
m=−3
b=2
Answer: y = -3x + 2
Step-by-step explanation:
According to the slope-intercept form, y = mx + b, you would plug in your values into the equation. Since -3 is the m value and 2 is the b value, the answer would be y = -3x + 2.
(2/3+5/2-7/3)+(3/2+7/3-5/6)
Answer:
after simplifying, we get,
23/6
Step-by-step explanation:
(2/3+5/2-7/3)+(3/2+7/3-5/6)
We simplify,
\((2/3+5/2-7/3)+(3/2+7/3-5/6)\\(2/3-7/3+5/2)+(3/2+7/3-5/6)\\(5/2-5/3)+(9/6+14/6-5/6)\\(15/6-10/6)+((9+14-5)/6)\\(15-10)/6+(23-5)/6\\5/6+18/6\\(5+18)/6\\23/6\)
The picture is above I’ll mark as brainliest.
Answer:
area=l×b
24=6×b
or,24=6b
or, 24/6=b
or,4=b
therefore,b=4..
width =4
Answer:
4 in
Step-by-step explanation:
Let x be the width of the triangle
we know that the area of the rectangle above is the product of the length and the width
\(6 . x = 24\\\)
divide both sides by 6
\(6x/6 = 24/6 \\\\x = 4\)
the width is 4 inches