Answer:
8x^2+32x+24
Step-by-step explanation:
What is the value of x in the equation -2 = 5x + 3?
A 1
B 1/5
C-1
D-3 2/5
Answer:
C
Step-by-step explanation:
- 2 = 5x + 3 ( subtract 3 from both sides )
- 5 = 5x ( divide both sides by 5 )
- 1 = x
A certain drug is made from only two ingredients: compound A and compound B. There are 3 milliliters of compound A used for every 5 milliliters of compound
B. If a chemist wants to make 728 milliliters of the drug, how many milliliters of compound A are needed?
? milliliters of compound A
In order to create 728 millilitres of the medication, 273 millilitres of component A are required.
What do you mean by compound?A compound in chemistry is a material comprised of two or more separate chemical elements mixed together in a certain proportion. Chemical connections that are challenging to break are created when the elements interact with one another.
Compound A:Compound B ratio in the medication is 3:5. In other words, there are 3 millilitres of compound A and 5 millilitres of compound B for every 3+5=8 millilitres of the medicine.
We may set up a percentage using the ratio of compound A to the total volume of the medicine to determine how much compound A is required to make 728 millilitres of the drug:
3 ml x 3 ml x 3 ml
-------- = ----------
728 ml total, 8 ml overall
If we cross-multiply, we obtain:
8(x) = 3(728)
To find x, we use the formula x = 3(728)/8 = 273
In order to create 728 millilitres of the medication, 273 millilitres of component A are required.
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273 milliliters of compound A are needed to make 728 milliliters of the drug.
What are proportions?
In mathematics, a proportion is a statement that two ratios are equal. It expresses the relationship between two or more quantities that are directly proportional to each other. A proportion can be represented as an equation of the form:
a/b = c/d
To determine the amount of compound A needed to make 728 milliliters of the drug, we need to use the given ratio of 3 milliliters of compound A to 5 milliliters of compound B.
Let's start by finding the ratio of compound A to the total amount of ingredients (A+B) in the drug:
3 : (3+5) or 3:8
This means that for every 8 milliliters of the drug, 3 milliliters of compound A are used.
To find out how many milliliters of compound A are needed for 728 milliliters of the drug, we can set up a proportion:
3/8 = x/728
where x represents the amount of compound A needed.
To solve for x, we can cross-multiply:
8x = 3*728
8x = 2184
x = 273
Therefore, 273 milliliters of compound A are needed to make 728 milliliters of the drug.
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can u tell me is this test important or not
Answer:
Yes, indeed it is one of the most important examinations.
here is the histogram of a data distribution. all class widths are 1. which of the following numbers is closest to the mean of this distribution a)3 b)5 c)4 d)9 e)7
The number 5 is closest to the mean of the distribution, option (B) is correct.
What is mean?It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
From the histogram:
2, 6, 4, 2, 0, 1, 6, 4, 2, 1
The sum of the above data = 28
= 2×1+6×2+4×3+2×4+0×5+1×6+6×7+4×8+2×9+1×10
= 2+12+12+8+6+42+32+18+10
= 142
Mean = 142/28
= 5.07
Thus, the number 5 is closest to the mean of the distribution option (B) is correct.
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Answer:4
Step-by-step explanation:jus done this question
Preform the indicated Operation g(n)=2n^2-4nh(n)=n-1find g(h(1-b))
GIven:
The expressions are given as,
\(\begin{gathered} g(n)=-2n^2-4n \\ h(n)=n-1 \end{gathered}\)The objective is to find g(h(-1-b)).
Explanation:
To find h(-1-b):
The value of h(-1-b) can be calculated by replacing the n with (-1-b) in the expression of h(n).
\(\begin{gathered} h(n)=n-1 \\ h(-1-b)=-1-b-1 \\ h(-1-b)=-2-b\text{ . . . . . . (1)} \end{gathered}\)To find g(h(-1-b)):
The value of g(h(-1-b)) can be calculated by replacing the n with h(-1-b) in the expression g(n).
\(\begin{gathered} g(n)=-2n^2-4n \\ g(h(-1-b))=-2(-2-b)^2-4(-2-b)\text{ . . . . (2)} \end{gathered}\)On further solving the equation (2),
\(undefined\)The zero of this function is 3 . What do you think "zero of a function" means?
The zeros of a function are the values of x that, when evaluated in the function, make the output of the function to be zero.
What doe the "zero of a function" means?A function is written in general form as y = f(x)
That notation says that, when we use the input "x" in a given function, that function "transforms" that input x into an output "y"
So y = f(x) is the value that the function takes for the input x.
A zero is an input of the function such that:
0 = f(x)
So the zeros are the inputs that have an output of zero, in this case you know that the function has a zero at 3, and as you can see, when x = 3, the function intercepts the x-axis, which is the axis defined by y = 0.
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Find the difference between the actual quotient and the estimated quotient of 54,114÷29 . (Dividend is rounded off to nearest thousand and divisor to nearest ten)
The difference between the actual quotient and the estimated quotient of 54,114 ÷ 29 is approximately 66.3448275862068965517241379.
To find the difference between the actual quotient and the estimated quotient of 54,114 ÷ 29, we need to first calculate the actual quotient and then the estimated quotient.
Actual quotient:
Dividing 54,114 by 29, we get:
54,114 ÷ 29 = 1,866.3448275862068965517241379 (approximated to 28 decimal places)
Estimated quotient:
Rounding the dividend, 54,114, to the nearest thousand gives us 54,000. Rounding the divisor, 29, to the nearest ten gives us 30. Now, we can perform the division with the rounded values:
54,000 ÷ 30 = 1,800
Difference between actual and estimated quotient:
Actual quotient - Estimated quotient = 1,866.3448275862068965517241379 - 1,800 = 66.3448275862068965517241379
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I am trying to perform an A/B test to see if two samples come from the same underlying distribution. My alternative hypothesis is that the samples do not come from the same underlying distribution. The _________ should be chosen as the test statistic. _________ _________ values of this statistic provide evidence in favor of the alternative hypothesis.
a. difference between the groups' averages, large absolute
b. total variation distance, large
c. difference between the groups' averages, large
the correct option is a. difference between the groups' averages, large absolute
I am trying to perform an A/B test to see if two samples come from the same underlying distribution. My alternative hypothesis is that the samples do not come from the same underlying distribution. The difference between the groups should be chosen as the test statistic averages large absolute values of this statistic provide evidence in favor of the alternative hypothesis.
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إعراب كلمة (الأزهار) في جملة (قطفت
الأزهار من الحديقة) هو
Answer:اين الجملة؟
Step-by-step explanation:
How many times will 5 go into 6?
Answer:
One time
Step-by-step explanation:
(5x2=10) so 5x1=6
I need your help please
Answer:
Answers A C C B A C C A
Step-by-step explanation:
In 2071 the monthly salary of the Chief justice of
Nepal was Rs. 53580. If 1 % tax was levied on firs
Rs. 300000 and certain rate on remaining so that the
chief justice paid Rs. 4537 monthly tax. How much
was the tax percentage on remaining? (Ans: 15%)
Answer:
Step-by-step explanation:
There must be an error—or multiple errors—in the question. Rs 300,000 doesn't make sense, because that would mean he was due a tax refund.
Rs 30,000 doesn't work, either, because that would mean he was paying 18% tax, not 15%.
If a 1% tax was levied on the first Rs 25,000, then he would pay Rs 4,287 on on the remaining Rs 28,580, which would work out to 15%.
In what ratio the line segment joining the points A(1,1) and B(-1,3) is divided by the y-axis?
In order to better understand, let's draw the segment and both axis:
Then, let's calculate the slope of this segment, using the following formula for two points (x1, y1) and (x2, y2):
\(m=\frac{y_2-y_1}{x_2-x_1}\)Using points A and B, we have:
\(m=\frac{3-1}{-1-1}=\frac{2}{-2}=-1\)That means for every unitary increase in x, the value of y decreases by 1 unit.
So, from point (-1, 3), let's add 1 unit to x and decrease 1 unit from y, then we have point (0, 2).
We can see that both x and y coordinates of this new point are the average of A and B coordinates (0 is the average of -1 and 1, 2 is the average of 1 and 3).
Therefore the line segment AB is divided in a ratio of 1 to 1 (it is divided into two equal segments)
What’s the mean of 46,57,66,63,49,52,61,68
Answer:
Step-byHow do I calculate the mean?
The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of value
-step explanation:
46+57+66+63+49+52+61+68= 462/8 the total number of observation
the answer 57
I need help on this question
Answer:
1/6
Step-by-step explanation:
there are six sides and 3 is one side so the probability of rolling a 3 is 1 in six
What is the equation of the line in slope intercept form (1, 10)and (3, 16)
Answer: y= 3x + 7
Step-by-step explanation:
y2-y1 / x2- x1 (Equation to find slope)
16-10 / 3-1 = 6/2 (Plug in values)
y=3x+b (Plug in value gotten from above)
10 = 3 + b (Plug in values from given point)
y=3x+7 (Answer)
\((\stackrel{x_1}{1}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{16}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{16}-\stackrel{y1}{10}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{1}}} \implies \cfrac{ 6 }{ 2 } \implies 3\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{ 3}(x-\stackrel{x_1}{1}) \\\\\\ y-10=3x-3\implies {\Large \begin{array}{llll} y=3x+7 \end{array}}\)
Amy has 2437 stamps and Maria had 1347 stamps. Amy gave some stamps to Maria. In the end, Maria had 3 times as many stamps as Amy. How many stamps did Amy have in the end?
Answer:
946
Step-by-step explanation:
Let :
Amy's stamp = 2437
Maria's stamps = 1347
Let Number of stamps Amy gave to Maria = x
After Giving stamps to Maria ; we have the equation :
Amy's stamps = 2437 - x
Maria's stamps = 1347 + x
(1347 + x) = 3(2437 - x)
1347 + x = 7311 - 3x
x + 3x = 7311 - 1347
4x = 5964
x = 5964 / 4
x = 1491
Number of stamps Amy has in the end :
2437 - 1491 = 946
Patti is using mental math to evaluate the expression (70 + 12.8 + 30) + 6.1. She recognizes that the expression will be easier to simplify if she can combine 70 and 30 before she works with the other numbers. Which should she do first?
She can use the associative property to rewrite the expression as (70 + 30) + 12.8 + 6.1.
She can use the associative property to rewrite the expression as (70 + 30 + 12.8) + 6.1.
She can use the commutative property to rewrite the expression as (70 + 30) + 12.8 + 6.1.
She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1.
Option (D) She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1 is correct.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
It is given that:
Patti is using mental math to evaluate the expression (70 + 12.8 + 30) + 6.1.
The number expression is:
= (70 + 12.8 + 30) + 6.1
As we know from the commutative property
a + b = b + a
Applying commutative property in the number expression:
= (70 + 30+ 12.8) + 6.1
She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1.
Thus, option (D) She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1 is correct.
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Superior Segway Tours gives sightseeing tours around Chicago, Illinois. It charges a one-time fee of $40, plus $35 per hour. What is the slope of this situation?
80
65
40
35
Answer:
d. 35
Step-by-step explanation:
y = 35x + 40
The slope is 35 as 'm' is the slope of the equation
LMK IF IT WAS RIGHT!!
Answer:
D (35)
Step-by-step explanation:
What are the domain and range of the function f(x)=-x+3-2? domain: -3 -2 domain: -3 -3 range: y<-2 domain: x>-3 range:y>-2
For given function function f(x)=-x+3-2, the domain is x > -3 and the range is y ≤ 2. So, correct option is D.
The function f(x)=-x+3-2 is a linear function in the form y=mx+b, where m is the slope and b is the y-intercept. In this case, the slope is -1 and the y-intercept is 1. Therefore, the graph of the function is a straight line that intersects the y-axis at (0,1) and has a slope of -1, meaning that it decreases by 1 for every 1 unit increase in x.
The domain of the function is the set of all possible values of x for which the function is defined. Since there are no restrictions on the value of x in the equation f(x)=-x+3-2, the domain is all real numbers, or (-∞, ∞).
The range of the function is the set of all possible values of y that the function can output. In this case, the lowest possible value of y occurs when x approaches positive infinity, and the highest possible value of y occurs when x approaches negative infinity. Therefore, the range is all real numbers less than or equal to 2, or y ≤ 2.
So, the domain is x ∈ (-∞, ∞) and the range is y ≤ 2. Alternatively, the domain can also be expressed as x > -3, since that is the minimum value of x at which the function is defined.
Correct option is D.
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Complete question is:
What are the domain and range of the function f(x)=-x+3-2?
A) domain: -3 -2
B) domain: -3 -3 range: y<-2
C) domain: x>-3 range:y>-2
D) domain : x>-3 range: y ≤ 2
please answer asap no trolls!!
Answer:
1. b = 47
2. c = 18
Step-by-step explanation:
From the question given above, we can see that the two shapes are right angle triangle.
Thus, if ΔUVW ≅ ΔFED, then
1. VW = ED
2. UW = FD
3. UV = EF
1. Determination of the value of b.
UW = 47
FD = b
UW = FD
47 = b
Therefore,
b = 47
2. Determination of the value of c.
VW = c
ED = 18
VW = ED
c = 18
. Order the following numbers from least to greatest: 3√2 , √3 − 1, √19 + 1, 6,
2√10 ÷ 5 and √14.
pls someone help me
The required order from least to greatest is √3 − 1, 2√10 ÷ 5, √14, 3√2, √19 + 1 and 6
What is ascending order?An arrangement of numbers in which the numbers are arranged from smallest to greatest numbers is called ascending order.
Given that, some numbers, 3√2, √3 − 1, √19 + 1, 6, 2√10 ÷ 5 and √14.
We need to order them from least to greatest,
3√2 = 4.24
√3 − 1 = 0.73
√19 + 1 = 5.35
6
2√10 ÷ 5 = 1.26
√14 = 3.74
The order from least to greatest is :-
0.73, 1.26, 3.74, 4.24, 5.35 and 6
i.e.
√3 − 1, 2√10 ÷ 5, √14, 3√2, √19 + 1 and 6
Hence, the required order from least to greatest is √3 − 1, 2√10 ÷ 5, √14, 3√2, √19 + 1 and 6
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The table below shows a linear relationship between x and y.
х
-4-2
0
6
у
8
5
2
-7
Which graph below represents the relationship in the table?
Need help, pls!!!
ty!
The graph of this function will behave as (b) A graph of this function would slope downward, starting from a price of $100 dollars because the rate of change is less than 0 and the initial value is -10.
The demand function is given by d = 100 - 10p. This means that the quantity demanded (d) decreases as the price (p) increases.
The slope of the demand function is the rate of change of the quantity demanded with respect to the price. In this case, the slope is -10, which is negative. This indicates that as the price increases, the quantity demanded decreases.
The initial value of the demand function is 100, which represents the quantity demanded when the price is zero. This means that the demand function intersects the y-axis at (0, 100).
Therefore, the correct answer is (b) A graph of this function would slope downward, starting from a price of $100 dollars because the rate of change is less than 0 and the initial value is -10.
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What is the slope of a line perpendicular to the line whose equation is 3x+y=-6. Show work
Answer:
1/3
Step-by-step explanation:
3x + y = -6
y = -3x - 6
The slopes of two perpendicular lines are negative reciprocals of each other
so negative reciprocal of -3 is 1/3
Answer:
I think the answer would be slope is -3...as well as the y-intercept is (0,-6)
Step-by-step explanation:
1. What is the difference between Salary and Wage?
2. $15 per hour is the basic rate at a factory. After a 48-hour basic work week,
overtime is paid time and a half.
a. If no one worked overtime and the factory paid $15840 in wages one week
how many workers are in the factory?
b. During another week, a worker in the factory earns $810 in wages for
himself. How many hours did he work for?
Hi
Answer:
answer yourself
Step-by-step explanation:
p(a) = 0.60, p(b) = 0.20, and p(a and b) = 0.15 what is p(a or b) choices: A. 0.12, B. 0.65, C. 0.40, or D. 0.80 (Note- This is on AP3X)
Answer:
\(p(a\ or\ b) = 0.65\)
Step-by-step explanation:
Given
\(p(a) = 0.60\)
\(p(b) = 0.20\)
\(p(a\ and\ b) = 0.15\)
Required
\(p(a\ or\ b)\)
The relationship between the given parameters and the required parameters is as follows;
\(p(a\ and\ b) = p(a) + p(b) - p(a\ or\ b)\)
Substitute values for the known parameters
\(0.15 = 0.60 + 0.20 - p(a\ or\ b)\)
\(0.15 = 0.80 - p(a\ or\ b)\)
Collect Like Terms
\(p(a\ or\ b) = 0.80 - 0.15\)
\(p(a\ or\ b) = 0.65\)
Hence;
\(p(a\ or\ b) = 0.65\)
What are the two equations to set up to solve the equation
Answer:
X is 21 (3x = 3*7) and 3x - 2 = 19.Step-by-step explanation:
Solve for X:
3x - 2 = 19= 3*7Solve for 19:
3 * 7 - 2 = 19= 21 - 2 = 19= 1919 = 19.So 3x - 2 = 19 is (3 * 7) - 2 = 19.40 students consume 100 kg bag in 6 weeks. 1 student will consume 100 kg bag in (6 x 40) weeks. 16 students will consume 100 kg bag in 6×40 weeks = 15 weeks. 16 b 30 students will consume 100 kg bag in 6×40 weeks = 8 weeks. 30 60 students will consume 100 kg bag in C 6×40 60 weeks - 4 weeks. Plck the graph 6
If 40 students eat a 100 kg bag of beans in six weeks, a bag will last 16 students for 15 weeks.
What is defined as the unitary method?The unitary method is a technique that involves determining the value of a single unit and then calculating the value of the necessary number of units.
For the given data in the question;
40 students consume ------> 100 kg bag in 6 weeks.
kg of beans per week per student = kg /students/ weeks
= 100/40/6
= 100/240
kg of beans per week per student = 5/12
The weekly consumption is 5/12 kg per student of beans.
The weekly consumption with 16 students is:
= (5/12)×(16)
= 20/3 kg per week
For 100 kg of beans.
= (100 kg)/(20/3 kg/week)
= 15 weeks
Above that the method will be effective regardless of the size bag changes.
Therefore, if 40 students eat a 100 kg bag of beans in six weeks, a bag will last 16 students for 15 weeks.
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The correct question is-
If 40 students consume a 100 kg bag of beans in 6 weeks, how long will a bag last for 16 students?
If 40 students consume 100 kg bag of beans in 6 weeks,how long will a bag last for 16 students?
If you know the answer I will give a hundred brainist
Answer:
18.09
Step-by-step explanation:2.4x2.4, then x3.14
Answer:
answers below
Step-by-step explanation:
If you are trying to find the area the answers are:
Earth= 289.52918
Saturn=6,532.5021
The formula for area for a sphere is:
4 x pie x r2
If you are trying to find the volume the answers are:
Earth=57.90584
Saturn=46,647.01596
The formula for volume for a sphere is:
4/3 x pie x r3
Also the radius (r) is half of the diameter, so you divide the diameter by 2.