Answer:
5/2
Step-by-step explanation:
3/3 is equal to one
1/10 and 2/5 are both smaller than one
5/2 is equal to 2 1/2
A candy store makes chocolate bars in large quantities. To make this large amount, a chocolate
maker weighs 6 identical bricks of chocolate plus a 3 pound brick for a recipe that calls for 27
pounds of chocolate.
Find the axis of symmetry of f(x)=2x^2-8x+10
2 (3)^3 + 5
And explain how you got it
Answer:
59
Step-by-step explanation:
3^3=27
2x27=54
27+54+5=59
Answer:
2 times 3 i 6 o 3 plus 5 equal 8
Step-by-step explanation:
beca you supoed to multiply ad divide
2. If a circle has a radius of 9 feet, what is the diameter ? *
A 4.5 inches
B 5 feet
C 18 inches
D 18 feet
Answer:
h n ijnf j n2r4h njiw32
Step-by-step explanation:
Find the directional derivative of f at the given point in the direction indicated by the angle theta. f(x, y) = y cos(xy), (0, 1), theta = pi/3 D_u f(0, 1) =
Answer:
The directional derivative of f at (0, 1) in the direction of theta = pi/3 is sqrt(3)/2.
Step-by-step explanation:
To find the directional derivative of f at (0, 1) in the direction of theta = pi/3, we need to compute the dot product of the gradient of f at (0, 1) and the unit vector u in the direction of theta.
First, we need to find the gradient of f:
∇f(x, y) = <∂f/∂x, ∂f/∂y>
= <-y sin(xy), cos(xy) - xy sin(xy)>
Evaluating at (0, 1), we get:
∇f(0, 1) = <0, 1>
Next, we need to find the unit vector u in the direction of theta = pi/3:
u = <cos(pi/3), sin(pi/3)>
= <1/2, sqrt(3)/2>
Now we can compute the directional derivative:
D_u f(0, 1) = ∇f(0, 1) · u
= <0, 1> · <1/2, sqrt(3)/2>
= sqrt(3)/2
Therefore, The directional derivative of f at (0, 1) in the direction of theta = pi/3 is sqrt(3)/2.
of f at (0, 1) in the direction of theta = pi/3 is sqrt(3)/2.
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how do I solve this?
Answer:
v = 22
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
\(\frac{BI}{MO}\) = \(\frac{BG}{MP}\) , substitute values
\(\frac{v}{33}\) = \(\frac{64}{96}\) ( cross- multiply )
96v = 2112 ( divide both sides by 96 )
v = 22
(4x+3)(6x-3) = 0
What is the positive solution to the problem?
Answer:
The positive solution is 1/2
Step-by-step explanation:
(4x+3)(6x-3) = 0
We can use the zero product property to find the zeros
4x+3 =0 6x-3 =0
4x =-3 6x = 3
x = -3/4 x = 3/6
x = -3/4 x = 1/2
The positive solution is 1/2
Evaluate the expression when c=36 and d=24
The value of the expression after evaluating it according to the values of c and d is 42.
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Since, no expression is given, let us assume that the expression is
c + d / 4
Now we have to evaluate the value of the expression according to the values of c and d,
For that, we will simply put the given values in the expression and solved it accordingly,
Put c = 36 and d = 24 in the expression we assumed,
c + d / 4 = 36 + 24/4
= 36 + 6 = 42
Hence, the value of the expression after evaluating it according to the values of c and d is 42.
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pie charts are most effective with ten or fewer slices.
Answer:
True
Step-by-step explanation:
When displaying any sort of data, it is important to make the table or chart as easy to understand and read as possible without compromising the data. In this case, it is simpler to understand the pie chart if we use as few slices as possible that still makes sense for displaying the data set.
please help with the question and explanation for the answer, please
Answer:
B
Step-by-step explanation:
to find the percentage, put 200 (electricity and cable) over 2500 (monthly budget) and multiply it by 100. So 200/2500 * 100/1. Hope that helps
A simple random sample of 48 adults is obtained from a normally distributed population, and each person's red blood cell count (in cells per microliter) is measured. The sample mean is 5.23 and the sample standard deviation is 0.56. Use a 0.01 significance level and the given calculator display to test the claim that the sample is from a population with a mean less than 5.4, which is a value often used for the upper limit of the range of normal values. What do the results suggest about the sample group?
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
H0: µ ≤ 5.4
For the alternative hypothesis,
H1: µ > 5.4
This is a right tailed test
Since the population standard deviation is not given, the distribution is a student's t.
Since n = 48
Degrees of freedom, df = n - 1 = 48 - 1 = 47
t = (x - µ)/(s/√n)
Where
x = sample mean = 5.23
µ = population mean = 5.4
s = samples standard deviation = 0.56
t = (5.23 - 5.4)/(0.56/√48) = 2.1
We would determine the p value using the t test calculator. It becomes
p = 0.021
Since alpha, 0.01 < the p value, 0.021, then we would fail to reject the null hypothesis. Therefore, At a 1% level of significance, there is no significant evidence that the mean red blood cell count of each person is greater than 5.4 cells per microliter.
Since 5.4 is the upper limit, it means that result of the sample group is acceptable.
What is the median
of 98, 99, 100, 90,
98, 100?
you have three empty boxes and eight balls. how many ways can you distribute the balls among the three boxes so that each box contains at least one ball?
The number of possible ways you can distribute the balls among the three boxes so that each box contains at least one ball = 21
Here we have 3 empty boxes.
Let us assume that a, b and c be these empty boxes.
and the total number of balls = 8
We need to distribute the balls among the three boxes so that each box contains at least one ball.
This means that a + b + c = 8
By allotting 1 ball to each box so that no box remains empty.
We get an equation a + b + c = 5
So, the possible number of ways to by allotting 1 ball to each box so that no box remains empty would be:
⁷C₂
Using combination formula:
⁷C₂
= 7! / 2!(7 - 2)!
= 21
Therefore, the required number of ways = 21
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SOMEONE PLEASE HELP ME ASAP
EXPLANATION = BRAINLIEST, THANK YOU
Answer:
Step-by-step explanation:
volume of a cylinder=πr^2h
=3.14*2^2*4
=3.14*4*4
=50.24 m^3
Nilda has $25 in her savings account. She plans to save 6.50 per week from her salary. Iona has $50 in her account but can save $13 per week from her paycheck. Nilda gets paid twice a month, but Iona only gets paid once a month. How many weeks will it take before the amount in each savings account is the same?
Answer:
3
Step-by-step explanation:
$25×6.50=152.5
50÷13=0.26
With sales tax, it costs $737 to buy a $670 crystal sculpture. What is the sales tax percentage? Group of answer choices 10% 0.8 15% 0.1
The sales tax percentage is 10%.
What is percentages?
Percentage is a way of expressing a fraction or a proportion as a number out of 100. The symbol used to represent percentage is "%".
For example, if you score 80 marks out of 100 in a test, your score can be expressed as 80% or 0.8 as a decimal. This means that you scored 80 out of 100 possible marks, which is equivalent to 80/100 or 0.8 as a fraction or a proportion.
Percentages are commonly used in various fields such as finance, statistics, and science to represent different types of information, such as interest rates, growth rates, and probabilities, among others.
Let x be the sales tax percentage.
The total cost of buying the sculpture with sales tax is $737, which includes the original price of $670 plus the sales tax.
So, we can set up the equation:
$670 + (x/100) * $670 = $737
Simplifying this equation, we get:
1.1x * $670 = $67
x = $67/$670 * 100
x = 10%
Therefore, the sales tax percentage is 10%.
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Add or subtract the following mixed numbers. First change each mixed number to an equivalent improper fraction. Then find a common denominator, and proceed as before. Leave your answer as an improper fraction. Be sure your answers are reduced to lowest terms. 3 1/4 + 6 1/2
In terms of the calculation, the answer is 39/4 in improper fraction.
What is an improper fraction?An improper fraction has a denominator that is greater than or equal to the numerator. Based on the numerator and denominator values, proper fractions and improper fractions are the two main types of fractions in mathematics.
What is a mixed fraction?A mixed fraction is a fraction formed by combining a natural number and a proper fraction. It is a shortened version of an improper fraction.
The given equation is \(3\frac{1}{4}\) + \(6\frac{1}{2}\) .
Taking 4 as LCM from the above equation.
\(3\frac{1}{4}\) + \(6\frac{1}{2}\) = (13/4) + (13/2)
\(3\frac{1}{4}\) + \(6\frac{1}{2}\) = (13+26)/4
\(3\frac{1}{4}\) + \(6\frac{1}{2}\) = 39/4
Now, since the solution must be proffered in an improper fraction.
Therefore, the obtained improper fraction is 39/4.
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A group of 50 students at a day camp got to choose an activity to do. 22% of students chose to make a craft, 16% chose to play volleyball, and the rest of the students chose to go on a nature walk. How many students chose to go on a nature walk?
Answer:
31 people
Step-by-step explanation:
Total # of people: 50
22% of 50: 0.22 * 50 = 11 people
16% of 50: 0.16 * 50 = 8 people
11 + 8 = 19 people who didn't go on a nature walk
50 - 19 = 31 people who went on a nature walk
The regular price of sneakers is $89, they are on sale for 20% off. What is the final sale price?
Answer:
20% of 89 is 17.8
89 - 17.8 = 81.2
Answer 20% of 89 is 17.8
89 - 17.8 = 81.2
Step-by-step explanation:
where does the line through (1, 0, 1) and (5, −2, 5) intersect the plane x + y + z = 14?
The line passing through the points (1, 0, 1) and (5, -2, 5) intersects the plane x + y + z = 14 at the point (3, -1, 11).
To find the intersection point, we can first find the direction vector of the line by subtracting the coordinates of the two given points.
The direction vector is (5 - 1, -2 - 0, 5 - 1) = (4, -2, 4).
Next, we can substitute the coordinates of one of the points (1, 0, 1) into the equation of the plane x + y + z = 14 to find the value of the parameter t at that point. By substituting the values into the equation, we get 1 + 0 + 1 = 14, which simplifies to 2 = 14. This implies that t = 2.
Finally, we can find the coordinates of the intersection point by substituting t = 2 into the parametric equations of the line. The x-coordinate is given by x = 1 + 4t = 1 + 4(2) = 9.
y-coordinate is y = 0 + (-2)t = 0 + (-2)(2) = -4. The z-coordinate is z = 1 + 4t = 1 + 4(2) = 9. Therefore, the intersection point is (9, -4, 9).
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What is the domain of the given function?
{(3,-2), (6, 1), (-1, 4), (5, 9), (-4, 0)}
{x|x = -4,-1, 3, 5, 6}
Oyly=-2, 0, 1, 4, 9}
O {x|x = -4, -2, -1, 0, 1, 3, 4, 5, 6, 9)
Oyly=-4, -2, -1, 0, 1, 3, 4, 5, 6, 9)
h
Answer:
A
Step-by-step explanation:
the domain are the value on the x coordinate
i.e 3, 6, -1, 5, -4 = {-4,-1,3,5,6}
What is the equation of this graphed line?
Enter your answer in slope-intercept form.
Answer:
y=-1/3x-5
Step-by-step explanation:
classify the quadrilateral by its most specific name. then find the missing angle measure(s)
The specific name of the quadrilateral is kite
The measures of the missing angles are 75 degrees each
How to determine the quadrilateralTo determine the measure of the angle, we need to know the different properties of a kite.
The properties of a kite includes;
Two pairs of adjacent sides are equal.Two diagonals intersect each other at right angles.The longer diagonal bisects the shorter diagonal.The angles opposite to the main diagonal are equal.Since the adjacent angles are equal, we have that;
105+ x = 180
collect the like terms, we have;
x = 180 - 105
x = 75 degrees
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The quadrilateral is a kite and the missing angles are 105° and 45°
What is a kite?A kite is a quadrilateral that has 2 pairs of equal-length sides and these sides are adjacent to each other.
A kite has a pair of equal angle and the diagonals of a kite meets at 90°.
In a kite , there are two pairs of congruent or equal sides.
This means that the missing angles are
The opposite angle to 105 is also 105°
The fourth angle is calculated as;
105+105+105+x = 360
= 315 +x = 360
x = 360- 315
x = 45°
Therefore the quadrilateral is a kite and the missing angles are 105° and 45°
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A map of a city
Uses a scale of 1 cm equals 3.5 meters. If the road shown on the map runs for 25 cm how long is Road?
The required length of the road is given as 87.5 meters.
Given that,
A map of a city uses a scale of 1cm =3.5 meters. A road shown on the maps runs for 25cm how long is the road is to be determined.
We know that,
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
1 cm = 3.5 meters,
For a road of 25 cm on the map,
Length of the road = 25 × 3.5
Length of the road = 87.5 meters
Thus, the required length of the road is given as 87.5 meters.
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if the simple interest on $5000 for 2 years is $700, then what is the interest rate
help it’s easy but yh still need help lol
Answer:
14 students walk
Step-by-step explanation:
40 total
22 girls
18 boys - 7 boys who cycle = 11 boys - 6 who take the bus. That leaves 5 boys who walk.
9 girls walk
5 + 9 = 14 total.
I need help on these questions
Answer:
Answer 1
Step-by-step explanation:
We can use the communitive property of addition to help us in the problem. 16x-12-24x+4 can be either rearranged or solved. If we were to try to solve it, then it would be 16x-24x-12+4=-8x-8. Now we look at our options. Option 1 says that 4+16x-12(1+2x). Using the distributive property, we conclude 4+16x-12+24x. This is basically rearranging the original question so answer 1 is the correct one.
Betty correctly determined that the ordered pair (-3,5) is a solution to the system of linear equations 6x+5y = 7 and x + 4y = = 17. Based on this information, which statement is correct? O(-3,5) satisfies neither the equation 6x + 5y = 7 nor the equation x + 4y = 17. O(-3,5) satisfies the equation 6x + 5y = 7 but not the equation x + 4y = 17. O (-3,5) satisfies the equation x + 4y = 17 but not the equation 6x + 5y = 7. O(-3,5) satisfies both the equation 6x + 5y = 7 and the equation x + 4y = 17.
Answer:
(-3, 5) satisfies both the equation 6x + 5y = 7 and the equation x + 4y = 17.
Step-by-step explanation:
Answer:
D (-3, 5) satisfies both the equation 6x + 5y = 7 and the equation x + 4y = 17.
Write the equation for (-2,3) and (3,-1)
Answer:
y = -4/5x + 7/5
Step-by-step explanation:
Use slope intercept form to find the equation for the line:
y=mx+b
y= -4/5x + 7/5
the primary purpose of statistical analysis is to: group of answer choices transform information into data.
The primary purpose of statistical analysis is to transform information into data. Therefore, the correct option is a)transform information into data.
What is statistical analysis?Statistical analysis is the method of using statistical techniques to collect and analyze data, evaluate its reliability and determine its statistical significance. The following are the primary purposes of statistical analysis:Provide summaries and descriptions of data: One of the most important applications of statistical analysis is to present data in a clear and concise manner. Summarizing the data can assist people in making sense of the data and drawing inferences from it.
For example, data can be summarized using graphs, charts, or tables. Identify patterns and relationships: The goal of statistical analysis is to identify any patterns or relationships that exist within the data. For example, statistical analysis can be used to determine if a product's sales are correlated with a specific time of year.
Test hypotheses and draw conclusions: Statistical analysis is used to test hypotheses and draw conclusions about a population or phenomenon. This is accomplished by using statistical techniques to determine whether or not the data supports a particular hypothesis. Statistical analysis can also be used to determine the probability of an event occurring in the future.
The primary purpose of statistical analysis is to transform information into data. Therefore, the correct option is a)transform information into data.
The complete question is as follows:
The primary purpose of statistical analysis is to:
a)transform information into data.
b)select samples and make inferences about populations
c)convert data into useful desicion-making information
d)perform statistical computations
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