Answer:
1/6 cups more
Step-by-step explanation:
1/2=3/6
1/3=2/6
3/6-2/6=1/6
When you calculate (In) 7, you would be finding the
value of which of the following expressions?
O log10 7
O log, 10
O log, e
O log 7
Option (O log 7) refers to the base-10 logarithm of 7, represented as log10(7), which is not the same as ln (7). Optional (O log, 10) and (O log, e) mathematical expressions are not acceptable.
what is logarithm?In mathematics, the logarithm is the reciprocal of a power. As a result, the exponent by which b must be raised to achieve a number x matches its logarithm in base b. For example, because 1000 = 103, the base-10 logarithm is 3, or log10 = 3. For example, the base 10 logarithm of 10 is 2, but the square of 10 is 100. Log 100 = 2. A logarithm (or log) is the mathematical word used to answer questions such as how many times a base of 10 must be multiplied by itself to get 1,000. The answer is 3 (1,000 = 10 10 10).
When you compute (In), you are calculating the natural logarithm of 7, which is indicated as ln(7) or loge (7).
As a result, the expression you'd be looking up the value of is: ln(7) or loge (7).
Option (O log 7) refers to the base-10 logarithm of 7, represented as log10(7), which is not the same as ln (7). Optional (O log, 10) and (O log, e) mathematical expressions are not acceptable.
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Create an equivalent expression for 1.4 cubed over 1.2 raised to the fourth power all raised to the power of negative six.
Answer:
Step-by-step explanationuuh soo I don’t understand this app:
can someone help me with this question?
Let V and W be finite dimensional vector spaces. Assume that dim(W) = m, and dim(V) n. Suppose v V and vメ0. (a) Let U T E L(V,w) : T(v) -0]. Prove that U is a subspace of L(V, W) (b) Let F : L(V,W) → W be the map defined by F(T) =T(v). Show that F is a linear map, and U is the null space of F. (c) Find the dimension of U.
(a) U is a subspace of L(V, W) (b) F is a linear map, and U is the null space of F. (c) The dimension of U is n - 1
The dimension of U is n - 1
(a) To demonstrate that U is a subspace of L(V, W), we must demonstrate that it meets the three subspace properties:
If T1 and T2 are in U, then T1 + T2 is in U as well, since if T1(v) = 0 and T2(v) = 0, then (T1 + T2)(v) = T1(v) + T2(v) = 0 + 0 = 0.
If T is in U and c is a scalar, then cT is in U, since if T(v) = 0, then (cT)(v) = c * T(v) = c * 0 = 0.
Containing the zero vector: Because 0(v) = 0, the zero transformation in L(V, W), indicated by 0, is in U.
As a result, U is a subspace of L. (V, W).
(b) To demonstrate that F is a linear map, we must demonstrate that it meets the following two properties:
Addition linearity: F(T1 + T2) = (T1 + T2)(v) = T1(v) + T2(v) = F(T1) + F(T2) (T2).
Homogeneity is defined as F(cT) = (cT)(v) = c * T(v) = c * F. (T).
As a result, F is a linear map. To demonstrate that U is the null space of F, we must first demonstrate that U is the set of all T in L(V, W) such that F(T) = 0. In other words, T(v) = 0.
(c) A basis for U can be used to calculate the dimension of U. Because U is a subspace of L(V, W), we may construct a basis for U by limiting a basis for L(V, W) to U. A basis for L(V, W) can be produced by designating as T1, T2,..., Tn the set of all transformations that send the standard basis vectors of V to the standard basis vectors of W. These transformations' constraints to U are T1, T2,..., Tn such that T1(v) = T2(v) =... = Tn(v) = 0. Because v = 0, T1, T2,..., Tn constitute a linearly independent set. As a result, dim(U) = n - 1.
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Find the volume V and surface area S of a
rectangular box with length 2 meters, width 6 meters,
and height 9 meters.
Answer:
Surface area add together all 6 sides = 24+36+108=168m^2
Volume L x W x D = 2 x 6 x 9 = 108 m ^3
Step-by-step explanation:
2 x 6 = 12
12 x 2 = 24 base and top
2 x 9 = 18
2 x 18 = 36 identical pair sides
6 x 9 = 54
2 x 54 = 108 identical pair sides
Surface area add together all 6 sides = 24+36+108=168m^2
Volume L x W x D = 2 x 6 x 9 = 108 m ^3
Which is the correct pair?
Answer: D
Step-by-step explanation:
Since we are given that the x value is -1, we can eliminate A and C because the -1 is in the y coordinate.
To find the proper y value, we plug x into the equation.
y=-2x+5 [plug in x=-1]
y=-2(-1)+5 [multiply -2 and -1]
y=2+5 [add 2 and 5]
y=7
Now that we have the y value, we know the coordinate (-1,7) which makes D the correct answer.
A circle representing a pool is graft with a center at the origin grant enters the pool at point A and swims over to a friend who is located at point B
which equation represents grants path
Y=2-4x
Y=4-x/2
Y=6-x/4
Y=8-2x
Your teacher needs to purchase some scientific calculators for $25 each and some graphing calculators for $65 each. Let x equal the number of scientific calculators and y equal the number of graphing calculators she buys She can only spend up to $800 for the calculators. Write an inequality that represents the number of each type of calculator she can buy.
The inequality that represents the number of each type of calculator she can buy will be 25x + 65y ≤ 800
Given that teacher needs to purchase some scientific calculators for $25 each and some graphing calculators for $65 each.
Consider that x equal the number of scientific calculators and y equal the number of graphing calculators she buys She can only spend up to $800 for the calculators.
The inequality that represents the situation becomes as;
25x + 65y ≤ 800
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Donna bought a notebook for $3.50 and then spent half of her money for a textbook. Next she bought sheet music for $4.00 and then spent half of the remaining money on a calculator. She had $8.00 left. How much money did she start with?
Answer:
$43.50
Step-by-step explanation:
(Work out backward to find the answer)
Remaining money => $8
=> 8 x 2 = 16
=> 16 + 4 = 20
=> 20 x 2 = 40
=> 40 + 3.50 = 43.50
= $ 43.50
Hence, she had $ 43.50 at the beginning.
calculate the unit rate.
The unit rate for the problems are;
a. 50pages/hour
b. 4points / game
c. 8 car washed /hour
d. 8 ounces of peanut/ dollar
What is unit rate?A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 100 yards in 10 seconds, you ran on average 10 yards in 1 second.
a. The unit rate = number of pages/ time
= 100/2 = 50pages/hour
b. The unit rate = number of points /number of games
= 20/5 = 4 points per game
c. The unit rate = number of car washed/ time
= 40/5 = 8car washed per hour
d. unit rate = number of ounces of peanut/ number of dollars
= 20/2.5 = 8 ounces of peanut per dollar
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\( \sqrt{20} \times \sqrt{15} \times \sqrt{3} \)
can you help me solve it
What is the probability that the mean score for 10 randomly selected people who took the LSAT would be above 157? Round your answer to three decimal places. (Example: 0.398)
Using the normal distribution, there is a 0.007 = 0.7% probability that the mean score for 10 randomly selected people who took the LSAT would be above 157.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).Researching this problem on the internet, the parameters are given as follows:
\(\mu = 150, \sigma = 9, n = 10, s = \frac{9}{\sqrt{10}} = 2.85\)
The probability is one subtracted by the p-value of Z when X = 157, hence:
\(Z = \frac{X - \mu}{\sigma}\)
By the Central Limit Theorem
\(Z = \frac{X - \mu}{s}\)
Z = (157 - 150)/2.85
Z = 2.46
Z = 2.46 has a p-value of 0.993.
1 - 0.993 = 0.007.
0.007 = 0.7% probability that the mean score for 10 randomly selected people who took the LSAT would be above 157.
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Solve the equation 4+4|2x−1|=12.
Paul get 5$ week for doing his chores he is saving his money to buy a skateboard that cost 85$ he has already saved 5$
Answer:
16 weeks
Step-by-step explanation:
85 divided by 5 is 17. Take away one week for the $5 he already has. So you get 16 weeks.
Hope this helps you!
Select the correct answer from each drop-down menu.
A candy company designs a package to hold chocolates. The height of the container is 13 inches and the diameter of its bottom is 9 inches.
9 in i
13 in
Which shape best models the package, and what is the approximate surface area of the package?
The best model for the package is a
The approximate surface area is
square inches.
The approximate surface area of the package is approximately 245.05 square inches.
The best model for the package is a cylinder.
To calculate the approximate surface area of the package, we need to find the lateral surface area of the cylinder and the area of the circular base.
The lateral surface area of a cylinder can be calculated using the formula:
Lateral Surface Area = 2πrh
where r is the radius of the base and h is the height.
The area of the circular base can be calculated using the formula:
Area of Base = \(πr^2\)
Given that the diameter of the bottom is 9 inches, the radius (r) would be half of that, which is 4.5 inches.
Using the given height of 13 inches, we can now calculate the surface area:
Lateral Surface Area = 2πrh = 2π(4.5)(13) ≈ 117.81 square inches
Area of Base = \(πr^2 = π(4.5)^2 ≈ 63.62\) square inches
To find the total surface area, we add the lateral surface area and the area of the base:
Total Surface Area = Lateral Surface Area + 2 × Area of Base = 117.81 + (2 × 63.62) ≈ 245.05 square inches
Therefore, the approximate surface area of the package is approximately 245.05 square inches.
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A grocery store has 10 cartons of yogurt for sale, of which 4 are raspberry. What is the probability that a randomly selected carton of yogurt will be raspberry? Write your answer as a fraction or whole number.
Answer:
2/5
Step-by-step explanation:
4 raspberry / 10 total
4/10
2/5
A circular walkway is to be built around a monument, with the monument as the center. The distance from the monument to any point on the inner boundary of the walkway is 30 feet.
The equation of the inner boundary of the circular walkway around the monument is x² + y² = 900.
The equation of the outer boundary of the circular walkway around the monument is x² + y² = 1369.
What is the equation of a circle?A circle is a conic section whenever the plane cuts the cone parallel to its base. Every point of the circumference lies at the same distance from its center. The equation of a circle is (x-h)² + (y-k)² = r², where (h, k) is the center and r is the radius.
a.
According to the diagram, the radius of the inner boundary is 30 feet and the center is (0, 0).
Substitute h = 0, k = 0, and r = 30 into the equation of circle (x-h)² + (y-k)² = r².
(x-0)² + (y-0)² = 30²
x² + y² = 900
Therefore, the obtained answer is x² + y² = 900.
b.
According to the diagram, the radius of the outer boundary is 37 feet (30 feet + 7 feet) and the center is (0, 0).
Substitute h = 0, k = 0, and r = 37 into the equation of circle (x-h)² + (y-k)² = r².
(x-0)² + (y-0)² = 37²
x² + y² = 1369
Therefore, the obtained answer is x² + y² = 1369.
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The complete question is mentioned in the image below.
Find the exact value of x.
Answer:
here is the exact value of x=16
The equation shown has an unknown number.
Blank divided by 3/7 = 7/15
Enter a fraction that makes the equation true
The required fraction that makes the equation true is 3/15.
What is a fraction?
Fractions represent parts of a whole or group of objects. A fraction is made up of two parts. The number at the top of the line is referred to as the numerator. It specifies the number of equal parts of the whole or collection that are taken. The denominator is the number below the line. It displays the total number of equal parts into which the whole is divided or the total number of identical objects in a collection.
Let x be the required fraction.
Blank divided by 3/7 = 7/15
Then, \(\frac{x}{3/7} = \frac{7}{15}\)
or, \(\frac{7x}{3} = \frac{7}{15}\)
or, 7x = 21/15
or, x = 3/15
Hence the required fraction that makes the equation true is 3/15.
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what percent of 15 is 5
Answer: 33%
Step-by-step explanation: 5/15 simplifies to 1/3 which is 33%
Answer:
33.333333333..... %
Step-by-step explanation:
(5/15)*100
How many roots do the functions have in common f(x)=x^2+x-6
To find the common roots between two functions, we need to find the roots (or solutions) of each function individually and then identify the shared solutions.
For the function f(x) = x^2 + x - 6, we can find the roots by setting the function equal to zero and solving for x:
x^2 + x - 6 = 0
To factorize this quadratic equation, we need to find two numbers that multiply to -6 and add up to 1 (the coefficient of x). The numbers that satisfy these conditions are 3 and -2:
(x + 3)(x - 2) = 0
Setting each factor equal to zero:
x + 3 = 0 or x - 2 = 0
Solving for x in each equation:
x = -3 or x = 2
Therefore, the function f(x) = x^2 + x - 6 has two roots: x = -3 and x = 2.
To find the common roots between this function and another function, we would need to know the second function. If you provide the second function, I can help determine if there are any shared roots.
help me please thanks
Answer:
the answer is B. 5
Step-by-step explanation:
Which of the following random variables are discrete?
I. L= the number of pages in a randomly selected book
II. A = the number of leaves on a randomly selected tree
III. K= the height of a randomly selected NBA player
a. I only
I and II
b. II and III
c. II and III
d. l,ll, lll
Answer:
Step-by-step explanation:
I and II
Pages in a book and leaves on a tree can be counted precisely. They are discrete.
The height of a person cannot be measured exactly. We can get very good
approximations (to a lot of decimal places) but never exact. This is continuous.
the sum of two number is twenty-six using x to represent the smaller of the two numbers, translate "the difference between five more then the larger number and twice the smaller number' into a variable expression. then simplify
"the difference between five more than the larger number and twice the smaller number' can be written as the expression 31 -3x.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given, the sum of two numbers is twenty-six the difference between five is more than the larger number and twice the smaller number' into a variable expression.
Since x represents the smaller of the two numbers,
Thus the larger number will be 26 - x
The expression asked above will be:
=> 5 + larger number - 2 * smaller number
=> 5 + 26 - x - 2 * x
=> 31 -3x
therefore, "the difference between five more than the larger number and twice the smaller number' can be written as the expression 31 -3x.
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Fill in the blanks by standardizing the normally distributed variable.
Dave drives to work each morning at about the same time. His commute time is normally
distributed with a mean of 40 minutes and a standard deviation of 5 minutes. The percentage of
time that his commute time is less than 44 minutes is equal to the area under the standard normal
curve that lies to the __of_
left, -0.8
Oright, 0.8
Oright, 1
left, 0.8
Previous
Next >
Answer:you know how to get it look it up :D
Step-by-step explanation:
Give me big brain plz
Country Financial, a financial services company, uses surveys of adults age 18 and older to determine whether personal financial fitness is changing over time. A recent sample of 1000 adults showed 410 indicating that their financial security was more than fair. Just a year prior, a sample of 900 adults showed 315 indicating that their financial security was more than fair. Conduct the hypothesis test and compute the p-value. Round your answer to four decimal places. What is the 95% confidence interval estimate of the difference between the two population proportions? Round your answers to four decimal places.
Answer:
hey, how you're day going
Step-by-step explanation:
.................
in a class of 24 students, 23 of them took an exam in class and 1 student took a make-up exam the following day. the professor graded the first batch of 23 exams and found an average score of 78 points with a standard deviation of 6.4 points. the student who took the make-up the following day scored 62 points on the exam
The average score for the class on the exam was 78 points with a standard deviation of 6.4 points. The student who took the make-up exam scored 79.25points.
1. Calculate the mean of the first 23 exams:
Mean = 78 points
2. Calculate the standard deviation of the first 23 exams:
Standard Deviation = 6.4 points
3. Calculate the mean of the entire class:
Mean = (78 x 23) + 62 = 1840 + 62 = 1902
Total = 24
Mean = 1902 / 24 = 79.25 points
The average exam score for the class of 24 students was 78 points with a standard deviation of 6.4 points. This means that most students in the class scored between 71.6 and 84.4 points on the exam. The student who took the make-up exam the following day scored 79.25points. This score is significantly lower than the average score of the class, suggesting that the student may have not done as well on the exam compared to the other students. It is also possible that the student faced additional challenges that the other students did not have to face, such as taking the exam on a different day. Regardless, the student's score was significantly lower than the average score of the class.
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Select the number that round to 387.4 when rounded to the nearest tenth.
A. 387.461
B. 387.344
C. 387.309
D. 387.352
E. 387.779
Answer:
D
Step-by-step explanation:
When rounding, the number 5 is rounded up. So the number 387.352 will be rounded up 387.4. Other options are not suitable. Correct answer is "D"
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Choose the equation of a line with a slope m = -2/3 and a point (3, 3) on the line.
Answer:
last option: y = (-2/3)x + 5
Step-by-step explanation:
slope-intercept equation: y = mx + b
where m is the slope and b is the y-intercept
if slope m = -2/3, then y = (-2/3)x + b
if point (3, 3) is on the line, substitute x=3 and y=3 into the equation and solve for b:
3 = (-2/3)3 + b
⇒ 3 = -2 + b
⇒ b = 5
Therefore, equation: y = (-2/3)x + 5
-3.6 divided by 2 1/7? please help my assignment is due soon
Answer:
the answer is -9/35
Step-by-step explanation:
imjustgonnaeritedmrandomletterssinceotsajdit has to be 20 characters long but yea thee answer is -9/35
Answer:
Step-by-step explanation:
-1.68 is your answer