Answer:
2+2 = 4
Step-by-step explanation:
Let's visualize this using # signs
we have two groups of two # signs, so let's map that out
##
##
If you count the individual # signs, it is 4. You can also use this model to figure out 2 *2 (4)
I hope this helps :)
Answer:
4
Step-by-step explanation:
2+2
2+1+1
3+1
4
2 Question 3 3.1 The layout plan of the copy room at Hills Secondary is given below.
3.1 justify a reason whether or not copier is suitably placed in room (3)
Based on these considerations, it is necessary to assess the specific layout plan and the surrounding environment to determine whether the copier is suitably placed in room (3) at Hills Secondary.
To determine whether the copier is suitably placed in room (3) at Hills Secondary, we need to consider factors such as accessibility, noise, and convenience.
Firstly, we need to evaluate the accessibility of the copier in room (3). Is it easily accessible for all students and staff who need to use it? If the copier is located in a central position within the school or close to high-traffic areas, it would be considered suitable.
However, if it is tucked away in a corner or not easily visible, it may cause inconvenience and hinder access for users.
Secondly, we should consider noise levels. Copiers can be noisy machines, and if room (3) is located near classrooms or areas where students require a quiet environment, it may not be an ideal placement. Noise disturbances could disrupt learning activities and cause distractions.
Lastly, convenience plays an important role. Room (3) should be spacious enough to accommodate the copier and allow users to operate it comfortably. If the room is cramped or lacks proper ventilation, it may cause inconvenience for users and impact the overall workflow.
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If two angles are complementary then the sum of their measures is _______.
(Answer with a number ONLY)
If the two angles are complementary, then their sum is 90 degrees.
The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.
If the two angles are complementary, then their sum is 90 degrees.
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While viewing a herd of cattle on a ranch, Herbert estimated that there were 750 cattle in the herd. The actual number of cattle in the herd was 600.
What was the percent of error, rounded to the nearest percent?
15%
20%
25%
30%
The solution is, the percent of error, rounded to the nearest percent is 25%.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
given that,
While viewing a herd of cattle on a ranch, Herbert estimated that there were 750 cattle in the herd.
The actual number of cattle in the herd was 600.
now, we have to find the percent of error, rounded to the nearest percent.
so, we get,
Herbert estimated that there were 750 cattle in the herd.
The actual number of cattle in the herd was 600.
so, error = 750 - 600
= 150
so, we get,
the percent of error = 150 * 100 / 600
= 25%
Hence, The solution is, the percent of error, rounded to the nearest percent is 25%.
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the sum of two numbers is 87. the difference of two numbers is 65 what are the two numbers
Step-by-step explanation:
Let the two numbers be x and y
By the question
x + y = 87 ..... equation (I)
x - y = 65 ...... equation (II)
Now adding both equations we get
2x = 152
x = 152 / 2
Therefore x = 76
Putting x = 76 in equation i
76 + y = 87
y = 87 - 76
Therefore y = 11
The two numbers are 76 and 11.
Hope it helps :)
Answer:
11, 76
Step-by-step explanation:
Let the two numbers be x and y.
According to the given conditions:
x + y = 87.....(1)
x - y = 65....(2)
Adding equations (1) & (2)
x + y = 87
x - y = 65
__________
2x = 152
x = 152/2
x = 76
Plug x = 76 in equation (1)
76 + y = 87
y = 87 - 76
y = 11
Thus the two numbers are 11 and 76.
Calculus BC Help - Series
6. Let f be the function defined by f(x)=1x2+9.
(a) Evaluate the improper integral ∫∞3f(x) dx, or show that the integral diverges.
(b) Determine whether the series ∑n=3∞f(n) converges or diverges. State the conditions of the test used for determining convergence or divergence.
(c) Determine whether the series ∑n=1∞(−1)n(en⋅f(n))=∑n=1∞(−1)n(n2+9)en converges absolutely, converges conditionally, or diverges.
Answer:
So you have a power of x^2, notice if you have a harmonic series, or if it looks familiar, which it should, hint (1/x) Now integrate: let u= x/3 dx=3dunow integral (1/u^2+1) recognize thats arcso you get a result of: arctan(x/3)/3+cS certain forest covers an area if 3500km^2. Supposr that each year this area decreases by 4.25%. What will the area be after 13 years? Use the calculator provided and round your answer ti the nearest square kilometer
The area of the forest after 13 years is 1990.08 \(km^2\).
What is exponential decay?
The term "exponential decay" in mathematics refers to the process of a constant percentage rate reduction in an amount over time. It can be written as y=a(1-b\()^x\), where x is the amount of time that has passed, an is the initial amount, b is the decay factor, and y is the final amount.
Here initial area a = 3500\(km^2\) ,
Rate of decay = 4.25%= 4.25/100 = 0.0425
Now using exponential decay formula then,
=> \(y=a(1-b)^x\) where x=13 years .
=> y = \(3500(1-0.0425)^{13}\)
=> y = \(3500(0.9575)^{13}\)
=> y = 1990.08 \(km^2\)
Hence the area of the forest after 13 years is 1990.08 \(km^2\).
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Eighteen individuals are scheduled to take a driving test at a particular DMV office on a certain day, eight of whom will be taking the test for the first time. Suppose that six of these individuals are randomly assigned to a particular examiner, and let X be the number among the six who are taking the test for the first time. a. What kind of a distribution does X have (name and values of all parameters)
Answer:
X has an hypergeometric distribution, with parameters:
Size of the population is N = 18.
Size of the sample is n = 6.
Number of successes n is k = 8.
Step-by-step explanation:
The people are chosen without replacement, which means that the hypergeometric distribution is used.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
Eighteen individuals are scheduled to take a driving test at a particular DMV office on a certain day, eight of whom will be taking the test for the first time.
This means that \(N = 18, k = 8\)
We consider a success being a person taking the test for the first time, because X is the number among the six who are taking the test for the first time.
Suppose that six of these individuals are randomly assigned to a particular examiner.
This means that \(n = 6\)
a. What kind of a distribution does X have (name and values of all parameters)
X has an hypergeometric distribution, with parameters:
Size of the population is N = 18.
Size of the sample is n = 6.
Number of successes n is k = 8.
10×a number added to 5is same as 9times the nunber is what
Answer:
Negative 5
Step-by-step explanation:
Start by subtracting 5 from both sides, this is because it is the coefficient on the left side.\(10x+5-5=9x-5\)
Next, simplify by subtracting 5. Note that you can't subtract a singular whole number from a term, basically a number with a variable next to it.\(10x+5-5\\= 10x+\left(5-5\right)\\= 5-5\\=0\\=10x+0\\=10x\)
--------------
\(9x-5\\= 9x-5\)
Third, identify the simplified equation.→ \(10x=9x-5\)
Fourth, subtract by the term 9x. You always subtract by the term/leading term on the right side at this point in an inequality or algebraic equation. Note: Assume x is 1 as a placeholder until you find x's real value.\(10x-9x=9x-5-9x\)
\(10x - 9x\\= 1x\\= 1 \times x\\= 1\)
\(9x-5-9x\\=9x\left(-5\right)-9x\\= 9x - 9x\\= 0 - \left(-5\right)\\= -5\\x = -5\)
Hope this helps!
At Wilson High School 34 girls participate in soccer, 39 girls participate in basketball, and 13 girls participate in both soccer and basketball. How many girls participate in either soccer or basketball?
Answer:
Hello ppcarrerasx3 I am going to be your personal instructor on brainly ty for choosing us for 5 star awnsers
The correct answer is will play
It is modified to show future aspect, but is still simple.
Step-by-step explanation:
Answer:
47 in soccer and 52 in basketball
Step-by-step explanation:
Find the interest.
. 750$, 6.5%, 2years
Answer:
simple interest=$97.50.
compound interest= $100.668
Step-by-step explanation:
Given:
Principal (P) = $750
Rate (R) = 6.5% (in decimal form, 0.065)
Time (T) = 2 years
Simple Interest = Principal*Rate*Time
Using the formula, the simple interest is calculated as follows:
Simple Interest = $750*0.065*2 = $97.50
Therefore, the simple interest for $750 with a 6.5% interest rate over 2 years is $97.50.
Again:
Compound Interest = Principal*(1 + Rate)^(Time)-Principal
Using the same values as above, the compound interest can be calculated as follows:
Compound Interest = $750*(1+0.065)^(2)-$750
= $750*1.065^2 -$750
= $750 × 1.134225 - $750
= $850.66875-$750
= $100.668
Therefore, the compound interest for $750 with a 6.5% interest rate over 2 years is $100.668
Which inequality is true?
A.
|-15| > |-19|
B.
|-16| < |13|
C.
|-15| > |12|
D.
|12| < |-8|
E.
|-19| > |-20|
Answer:
C.
|-15| > |12|
Step-by-step explanation:
note that | | means absolute value
The absolute value of a number is the value of the number not including the sign. Ex. the absolute value of -4 is 4
|-15| > |-19| = 15 > 19 which is not true therefore A is not the correct answer
|-16| < |13| = 16 < 13 which is not true therefore B is not the answer
|-15| > |12| = 15 > 12 which is true so C might be the answer. However lets check the other answer choices just to be safe
|12| < |-8| = 12 < 8 which is not true therefore D is not the answer
|-19| > |-20| = 19 > 20 which is not true
Hence, the answer is C
Perform the following mathematical operation, and report the answer to the appropriate number of significant figures.
1204.2 + 4.72613 = [?]
The answer is not 1208.92613 / 1200
Answer:
1,208.92613
Step-by-step explanation:
this is the answer
use the graph of the rational function shown to complete the statement
Answer:
0
Step-by-step explanation:
Look at the graph, for x because it is going right continously but it is going towards 0 on the y-axis.
Think of it this way it that line kept going rightward for infinite amounts what would the y value get close to? 0.
In given graph of function, When x → ∞, f(x)=0
Option D is correct.
Graph of function:From the given graph of function,
It is observed that, x- axis is the asymptote of the function.
Since, graph of function never intersect the x- axis.
When x → ∞, f(x)=0
Therefore, option D is correct.
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Three friends play a game. Jamila has 4-1/2
more points than Carter. Carter has 7 1/2 more
points than Aisha. Jamila has 26 points. Write
and solve an equation to find the number of
points Aisha has. Show your work.
The equation is written as
x + 11 = 26Aisha has 15 points
How to write the equationLet's use the given information to set up an equation to represent the relationship between the points each friend has.
Let x be the number of points Aisha has.
Then, according to the problem statement, we know that:
Carter has 7 1/2 more points than Aisha, so he has
x + 7 1/2 points.
Jamila has 4 - 1/2 more points than Carter, so she has
x + 7 1/2 + 4 - 1/2 points,
which simplifies to x + 11 points.
Jamila has 26 points, so we can set x + 11 equal to 26 and solve for x:
x + 11 = 26
x = 26 - 11
x = 15
Therefore, Aisha has 15 points.
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(-36)1/2= -6 1/6
a.-6
b.1/2
c.no real numbers
Answer:
c
Step-by-step explanation:
I need help with the picture shown above I will mark brainliest
The division is not correct. The quotient after divided 6.4 by 0.0 is 320.
What is the quotient?
A quotient is the amount that results from dividing two numbers. The term "quotient" is used frequently in mathematics and is sometimes known as the integer portion of a division, a fraction, or a ratio.
The divisor is 0.02 and dividend is 6.4.
The number of digits after decimal point of divisor is 2.
The number of digits after decimal point of dividend is 1.
Thus multiply dividend by 100 and multiply divisor by 100.
The new divisor is 2 and dividend is 640.
The quotient is 320.
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A store bought a sofa whole sale for 200
Answer:
what is the question
Step-by-step explanation:
Answer:
ok the store bought a sofa
Step-by-step explanation:
Write the equation of the line, given the y and x-intercepts. a x-intercept = –68, y-intercept = –34
Answer:
In slope-intercept form, y = -17/34 - 34
Step-by-step explanation:
For the two points, you have (-68, 0) and (0, -34). To get the slope, you take (y-y) / (x-x). Stay consistent on the order you do those. After I did (-34 - 0) / (0 - 68), simplified it, and got a slope of -17 / 34. You are already given the y-intercept, so you just write the equation from there (y = -17/34 - 34)
Use the product rule to simplify the following expression. Assume that variables represent nonnegative real numbers.
√2x • √40x =
(type an exact answer using radicals as needed)
Answer: 4x√5
Step-by-step explanation:
√2x • √40x=
√(2*40*x*x)=
√80x^2=
√(16*5x^2)=4x√5
experimento aleatorio con orden,remplazo y sin repeticion
A randomized experiment with order, replacement, and no repetition is one in which the order of the outcomes matters, the same outcome can occur multiple times, and no outcome can occur more than once.
How to explain the information.For example, drawing a card from a deck and then flipping a coin would be a random experiment with order, replacement, and no repetition. The order of the results is important because the outcome of the coin toss will depend on the outcome of the card draw.
The same result can occur multiple times because the same card can be drawn twice, and no result can occur more than once because the coin can only land heads or tails once.
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Random experiment with order, replacement and without repetition
Can someone help me please
Denis's and Dasha's methods use different operations to simplify the expressions in different orders.
Denis's method uses addition, subtraction, and multiplication operations, but Dasha's method does not.
What are multiplication operations?Multiplication operations are described as using mathematical operation that indicates how many times a number is added to itself.
Denis's Assignment
2* 6+2w-54
12+2w = 54
12-12+2w= 54-12
2w=42
w= 21
Dasha's Assignment
54-2* 6
54-12= 42
The two widths add to 42 cm
42/ 2-21
We can see that Dasha's method also uses addition and subtraction operations, but she simplifies the expression by performing the operations in a different order.
She subtracts the product of 2 and 6 from 54.
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A bucket contains six white balls and five red balls. A sample of four balls is selected
at random from the bucket, without replacement. What is the probability that the
sample contains...
Exactly two white balls and two red balls?
At least two white balls?
To solve this problem, we can use the formula for probability:
P(event) = number of favorable outcomes / total number of outcomes
First, let's find the total number of outcomes. We are selecting 4 balls from 11 without replacement, so the total number of outcomes is:
11C4 = (11!)/(4!(11-4)!) = 330
where nCr is the number of combinations of n things taken r at a time.
Now let's find the number of favorable outcomes for each part of the problem.
Part 1: Exactly two white balls and two red balls
To find the number of favorable outcomes for this part, we need to select 2 white balls out of 6 and 2 red balls out of 5. The number of ways to do this is:
6C2 * 5C2 = (6!)/(2!(6-2)!) * (5!)/(2!(5-2)!) = 15 * 10 = 150
So the probability of selecting exactly two white balls and two red balls is:
P(2W2R) = 150/330 = 0.45 (rounded to two decimal places)
Part 2: At least two white balls
To find the number of favorable outcomes for this part, we need to consider two cases: selecting 2 white balls and 2 red balls, or selecting 3 white balls and 1 red ball.
The number of ways to select 2 white balls and 2 red balls is the same as the number of favorable outcomes for Part 1, which is 150.
To find the number of ways to select 3 white balls and 1 red ball, we need to select 3 white balls out of 6 and 1 red ball out of 5. The number of ways to do this is:
6C3 * 5C1 = (6!)/(3!(6-3)!) * (5!)/(1!(5-1)!) = 20 * 5 = 100
So the total number of favorable outcomes for selecting at least two white balls is:
150 + 100 = 250
And the probability of selecting at least two white balls is:
P(at least 2W) = 250/330 = 0.76 (rounded to two decimal places)
Which expression is equivalent to 6(1/3x+2/3
Answer: 2x + 4 (I'm not sure because you didn't show the choices)
Lisa wants to buy a pair of pants at the mall. The pants originally cost $80, but they are on sale for 15% off. What is the price that she will have to pay for the pants?
Answer:
$68
Step-by-step explanation:
Original cost of pair of pants at the mall:
100% = 80
1% = 80 ÷ 100 = 0.80
15% = 0.80 x 15 = 12 (Sale price)
80 - 12 = 68 (Price after the sale)
A cell phone box in the shape of a rectangular prism is shown.
The height of the box is 4 cm.
The height of the original box will be increased by 3.5 centimeters so a new instruction manual and an extra battery can be included.
Which is closest to the total surface area of the new box?
A) 707 square centimeters
B) 479 square centimeters
C) 959 square centimeters
D) 738 square centimeters
Answer: it’s 959cm squared.
Step-by-step explanation:
The total surface area of the new box will be C) 959 square centimeters.
What is the surface area of this rectangular prism?A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.
The surface area of this rectangular prism = 2( lb + bh + hl)
We are given that height of the box is 4 cm.
Also that height of the original box will be increased by 3.5 centimeters so a new instruction manual and an extra battery can be included.
The surface area of this rectangular prism = 2( lb + bh + hl)
= 2(18 x 13.5 + 13.5x 7.5 + 18 x 7.5)
= 958.5
= 959 cm sq.
Therefore, the correct option is C.
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You'd like to purchase a new car when you graduate and start working. The car that you would really like costs $38,000. You've
checked with the bank and based on your income, you would qualify for a car loan with an annual interest rate of 4.32% with a 5-
year repayment period. You now realize that you're not able to afford this car payment each month and still pay your other monthly
expenses. The bank offers a 7-year car loan with the same interest rate. If you were to choose the 7-year car loan instead of the 5-
year car loan, how much lower would your monthly payment be? (Round answer to nearest whole number)
Answer:
174.23 lower p/month
Step-by-step explanation:
7 yr car loan = 38000 x 1.0432^7 =51092.4402043 =$51092.44 total pay back
51092.4402043/84=608.243335765 =$608.24
5 yr car loan = 38000 x 1.0432^5=46948.4748551 =$46948.48 total pay back
46948.4748551/60 =782.474580918 = 782.48 p/month
Amount difference
782.474580918-608.243335765 =174.231245153 =$174.23
For 7 year car loan, the monthly payment will be $180.96 lower as compare to 5 year car loan.
Simple Interest :The simple interest is computed as,
\(A=\frac{P*R*T}{100}\)
Where P is principle, R is rate and T is time.
Given that, cost of car \(P=38000,R=4.32,T=5years\)
Substitute values in above equation.
\(A=\frac{38000*4.32*5}{100} =8208\)
The amount paid in 5 years\(=38000+8208=46208\)
Amount paid per month is, \(=\frac{46208}{60}=770.14\)
For 7 years,
\(A=\frac{38000*4.32*7}{100}=11491.2\)
Amount paid per month is,\(=\frac{49491.2}{84}=589.18\)
The Amount difference is, \(=770.14-589.18=180.96\)
For 7 year car loan, the monthly payment will be $180.96 lower as compare to 5 year car loan.
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Create a factorable polynomial with a GCF of 6. Rewrite that polynomial in two
other equivalent forms. Explain how each form was created. (10 points)
Polynomial: 6x^3 + 12x^2 - 18x
Form 1: 6(x^3 + 2x^2 - 3x)
Explanation: This form was created by factoring out the GCF of 6 from each term in the polynomial.
Form 2: 6x(x^2 + 2x - 3)
Explanation: This form was created by factoring out the GCF of 6x from each term in the polynomial.
In both forms, the GCF of 6 allows us to factor out common factors and simplify the polynomial expression while preserving its original meaning.
To create a factorable polynomial with a greatest common factor (GCF) of 6, we can start by considering the common factors of the terms. Let's construct a polynomial:
Polynomial: 6x^3 + 12x^2 - 18x
To rewrite this polynomial in two other equivalent forms, we can factor out the GCF from each term and simplify.
Form 1: 6(x^3 + 2x^2 - 3x)
In this form, we factored out the GCF of 6 from each term: 6x^3/6 = x^3, 12x^2/6 = 2x^2, and -18x/6 = -3x.
Form 2: 6x(x^2 + 2x - 3)
In this form, we factored out the GCF of 6x from each term: 6x^3/6x = x^2, 12x^2/6x = 2x, and -18x/6x = -3.
We created each form by identifying the common factors in the polynomial and factoring them out. This process allows us to rewrite the polynomial in equivalent forms that emphasize different aspects.
In Form 1, we factored out the GCF of 6, leaving the remaining polynomial inside the parentheses. This form highlights the fact that the polynomial can be written as the product of the GCF and the remaining terms.
In Form 2, we factored out the GCF of 6x, again leaving the remaining polynomial inside the parentheses. This form emphasizes the fact that the polynomial can be written as the product of the GCF and another factor, in this case, x.
By rewriting the polynomial in these two forms, we have created equivalent expressions that emphasize the presence of the GCF and demonstrate the polynomial's factorability.
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The store is selling women’s at $.55 each. Each lemon yields about 2 tablespoons of juice. How much will it cost to buy enough lemons to make three 9-inch lemon pies, each requiring a half a cup of lemon juice?
Answer: It costs about 7.32 to buy enough lemons.
the linear function passes through the points (7,-19) and (-3,7). which statement must be true
On which number line are -6 and it’s opposite shown?
Answer:
2nd Number Line.
Step-by-step explanation:
-6 is going to be left of 0 on the number line.
The opposite of -6, or the absolute value of 6, is 6 (positive).
6 is going to be right of 0 on the number line.
Answer: number line number 2
Step-by-step explanation: