Q2 - Word problems.
Solve the problems and write the answers
A trifle recipe requires 1½ cups of sugar. A chocolate cake recipe requires twice as much sugar. How many cups of sugar go into the cake?___
\( \frac{?}{?} \)
Answer:
The answer is 3, but here’s how I got that answer.
Step-by-step explanation:
As we know the trifle recipe requires 1 ½ cups of sugar, and the chocolate cake requires double the amount of sugar.
You have two options.
Multiply 1½ by 2
1½ x 2 = 3
———————————
Or add 1½ + 1½
1½ + 1½ = 3
———————————-
Wasn’t sure what you were asking for with this this question, but hope it helped.
Answer: 3
Step-by-step explanation:
Since the trifle cake uses 1 ½ cups of sugar and the chocolate twice as much sugar as the trifle cake you should multiply 1 ½ x 2 which would equal 3. So, 3 cups of sugar should go into the cake. (This is my first answer to a question so I'm sorry if I'm confusing)
The GCF of 24 and 32 is...
Answer:
The GCF is 8 there is your anwser
A store sells mugs. Each mug cost the same amount.
Answer:
nobody won't be able to answer this without some more details.
Answer:
that's nice
Step-by-step explanation:
if u actually need help ask this question again or put the whole question in the comments section
ur welcome
I NEED THIS FAST
4. Each month, a salesperson has a base salary of $2000 plus $500 per sale.
Which equation represents the montly income y (in dollars) of x sales?
1. y = 500x + 2000
2. y = 2000x + 500
3. y= 2500x
Becka can make a bracelet in 2 minutes.
Question 1
Part A
Write an equation to express the relationship between the number of bracelets made and the amount of time it took, in minutes, to make them. Let x represent the number of bracelets made and let y represent the time, in minutes, it took to make the bracelets.
Answer:
2x = y
Step-by-step explanation:
x is how many bracelets made and each bracelet takes 2 minutes to make so x times 2 or 2x and y is the total time took so 2x=y
what is the probability that a month starting with a vowel is drown
BRAILEST + THANKS
F(x)=x^2+14 and g(x)=x−8
Find (f+g)(−1)
Answer:
Step-by-step explanation:
Disclaimer all solutions need to be verified by the student for accuracy in typos, algebra and calculations.
f(x) = x² + 14 g(x) = x - 2 -1 ? I think it means evaluate when x = -1
Find (f(x) + g(x)) when x = -1
(f(x) + g(x)) = [ ( x² + 14) + (x - 2)] insert f(x) and g(x)
= [ x² + x + 14 - 2] add like the term
(f(x) + g(x)) = x² + x + 12
(f(-1) + g(-1)) = (-1)² + (-1) + 12 evaluate at x = -1
= 1 - 1 + 12
= 12
What is madeline mistake
Answer:
4000 should be 40 to be correct. simple wrong steps.
Step-by-step explanation:
X^2 - x=2
Solve for x
Answer:
To solve for x, you can start by moving the constant 2 to the other side of the equation by adding x to both sides:
x^2 - x = 2
x^2 - x + (1/4) = 2 + (1/4)
(x - 1/2)^2 = 9/4
x - 1/2 = +- (3/2)
x = -1/2 or x = 2
So the solutions for x are -1/2 and 2.
in randomized, double-blind clinical trials of a new vaccine, were randomly divided into two groups. subjects in group 1 received the new vaccine while subjects in group 2 received a control vaccine. after the second dose, of subjects in the experimental group (group 1) experienced as a side effect. after the second dose, of of the subjects in the control group (group 2) experienced as a side effect. does the evidence suggest that a higher proportion of subjects in group 1 experienced as a side effect than subjects in group 2 at the level of significance? question content area bottom part 1 verify the model requirements. select all that apply. a. the data come from a population that is normally distributed. b. the samples are independent. your answer is correct.c. the sample size is more than 5% of the population size for each sample. d. the samples are dependent. e. and your answer is correct.f. the sample size is less than 5% of the population size for each sample. your answer is correct. part 2 determine the null and alternative hypotheses. : equals : greater than part 3 find the test statistic for this hypothesis test.\
Consider the statements and select the correct option below.
(a) cos(x) = 1-sin(x)/(cos(x)+cot(x))
(b) sin(x) = 1-cos(x)/(sec(x)+tan(x))
1. Only (a) is true
2. Only (b) is true
3. Both (a) and (b) are true
4. Neither (a) nor (b) are true
Option- 3 is correct that is both a and b are true.
a. The statement is true that is cosx = \(1 - \frac{sinx}{cscx+cotx}\)
b. The statement is true that is sinx = \(1 - \frac{cosx}{secx+tanx}\)
Given that,
a. We have to prove the statement is true or false.
Statement: cosx = \(1 - \frac{sinx}{cscx+cotx}\)
Now, Take the right hand side
= \(1 - \frac{sinx}{cscx+cotx}\)
= \(1 - \frac{sinx}{\frac{1}{sinx} +\frac{cosx}{sinx} }\)
By using LCM
= \(1 - \frac{sinx}{\frac{1+cosx}{sinx} }\)
= \(1 - \frac{sinx\times sinx}{1+cosx} }\)
= \(1 - \frac{sin^2x}{1+cosx} }\)
= \(\frac{1+cosx - sin^2x}{1+cosx} }\)
We know from trigonometric identities 1 - sin²x = cos²x
= \(\frac{cos^2x+cosx }{1+cosx} }\)
= \(\frac{cosx(1+cosx )}{1+cosx} }\)
= cosx
LHS = RHS
Therefore, The statement is true
b. We have to prove the statement is true or false.
Statement: sinx = \(1 - \frac{cosx}{secx+tanx}\)
Now, Take the right hand side
= \(1 - \frac{cosx}{secx+tanx}\)
= \(1 - \frac{cosx}{\frac{1}{cosx} +\frac{sinx}{cosx} }\)
By using LCM
= \(1 - \frac{cosx}{\frac{1+sinx}{cosx} }\)
= \(1 - \frac{cosx\times cosx}{1+sinx} }\)
= \(1 - \frac{cos^2x}{1+sinx} }\)
= \(\frac{1+sinx - cos^2x}{1+sinx} }\)
We know from trigonometric identities 1 - cos²x = sin²x
= \(\frac{sin^2x+sinx }{1+sinx} }\)
= \(\frac{cosx(1+sinx )}{1+sinx} }\)
= sinx
LHS = RHS
Therefore, The statement is true
To know more about trigonometry visit:
https://brainly.com/question/11550042
#SPJ4
The easiest way to filter the records for an exact match is to use the Filter By Form feature.True/False
False. The statement is not entirely accurate. While the Filter By Form feature can be used to filter records for an exact match, it might not be the easiest way for everyone.
In fact, the easiest way to filter records for an exact match largely depends on the user's preference and familiarity with different filtering methods in the software.
Filter By Form allows you to build a filter by entering criteria directly into the form, but there are other methods to filter records for an exact match that users might find more convenient. One such method is using the Filter command in the software. This can be found in the Sort & Filter group on the Home tab. You can apply filters directly to individual fields, and it allows you to quickly filter for an exact match based on specific criteria.
Another method is using the Search Box, where you can type a keyword to filter the records based on that exact match. This method is particularly useful when you have a large dataset and want to quickly narrow down the results.
In summary, while the Filter By Form feature can be used to filter records for an exact match, it's not necessarily the easiest way for everyone. The easiest method depends on user preference and familiarity with various filtering options available in the software.
To learn more about form click here
brainly.com/question/13204313
#SPJ11
Select the correct answer.
Given the following formula, solve for t.
V = u + at
A.
t = a(v + 2)
B.
t =v+u/a
C.
t = v-u/a
D.
t =
a(v - u)
Answer:
C.
t = v-u/a
is the Answer.
what percentage of the area under a normal curve is within 1, 2, and 3 standard deviations of the mean? match the probabilities to the range for the empirical rule for the normal distribution
The empirical rule, also known as the 68-95-99.7 rule, provides a rough estimate of the percentage of values that fall within a certain number of standard deviations from the mean in a normal distribution.
According to the empirical rule, approximately 68% of the area under a normal curve is within 1 standard deviation of the mean, approximately 95% of the area is within 2 standard deviations of the mean, and approximately 99.7% of the area is within 3 standard deviations of the mean.
To match the probabilities to the range for the empirical rule, we can use the following table:
Within 1 standard deviation of the mean: 68%
Within 2 standard deviations of the mean: 95%
Within 3 standard deviations of the mean: 99.7%
It's important to note that the empirical rule is only an approximation and may not be accurate for all normal distributions.
For more details about mean click here:
https://brainly.com/question/31101410#
#SPJ11
What do the coordinates of an undefined slope have in common?
The coordinates of an undefined slope are points that are either the same or have no x-value. In both cases, the slope of a line between these points would be undefined because it would involve dividing by 0, which is not allowed in mathematics. This is because the slope of a line is calculated by dividing the difference in y-coordinates by the difference in x-coordinates, and if the x-coordinates are the same or do not exist, this division would result in an undefined value.
how many groups of 1/5 are in 4 in fraction form
Factor 3(x^2)+6(x^3) completely
Answer:
3(x^2)(1+2x)
Step-by-step explanation:
Take 3x^2 from both function, the left will be 1+2x, so it’s the answer above
When computing a correlation coefficient, if you have 55 degrees of freedom, your sample size must be ______. a. 55 b. 53 c. 57 d. 56
The correct answer is d. 56.
When computing a correlation coefficient, the degrees of freedom (df) is calculated as (n-2), where n is the sample size. In this case, we are given that df = 55.
Substituting df = 55 into the formula, we get:
55 = n - 2
Adding 2 to both sides, we get:
n = 57
Therefore, the sample size must be 57 in order to have 55 degrees of freedom when computing a correlation coefficient.
Hi! When computing a correlation coefficient with 55 degrees of freedom, your sample size must be 57 (Option c).
Here's the step-by-step explanation:
1. Recall that the formula to find degrees of freedom (df) in correlation is df = n - 2, where n is the sample size.
2. In this case, the degrees of freedom is given as 55.
3. To find the sample size (n), you'll need to rearrange the formula: n = df + 2.
4. Substitute the given degrees of freedom into the formula: n = 55 + 2.
5. Solve for n: n = 57.
Therefore, when computing a correlation coefficient with 55 degrees of freedom, your sample size must be 57.
To know more about coefficient visit:
https://brainly.com/question/1038771
#SPJ11
A text font fits 12 characters per inch. Using the same font, how many characters can be expected per yard of text? There are 12 inches in a foot, and 3 feet in a yard.
Answer:
432 characters
Step-by-step explanation:
First we can convert 12 characters per inch in to characters per feet. Knowing that there are 12 inches per foot we know we have to multiply the 12 characters per inch by 12, giving us 144 characters per foot. Now we have to convert characters per foot to characters per yard. Knowing there are 3 feet per yard we know we have to multiply 144 characters per foot by 3, giving us a final answer of 432 characters per yard of text.
Answer:
432 characters
Step-by-step explanation:
just did the test :)
What is the difference between: |x+3| = 10 & |x| + 3 = 10
Answer:
Step-by-step explanation:
|x+3| = 10 means the absolute value of x+3 equal 10, so the answer to that means x= -13 or x= 7 (i.e. |-13+3| = |-10| =10, |7+3| = |10| = 10)
|x| + 3 = 10 means the absolute value of just x, so the answer to that would be x= -7 or x= 7 (i.e. |-7|+3 = 7+3 = 10, |7|+3 = 7+3 = 10)
However, take everything I say with a grain of salt, because I struggle some with Absolute Value Equations as well.
I hope this helps give you an idea of what you're looking at, though :)
Classify the sequence {1, 6, 11, 16, 21, …}.
Answer:
Classify the sequence {1, 6, 11, 16, 21, …}.
The pattern is +5:
1 + 5 = 6
6 + 5 = 11
11 + 5 = 16
16 + 5 = 21
21 + 5 = 26
And so on
Step-by-step explanation:
You're welcome
Evaluate the following sums:Σ(3) (Note where the sum starts from.) η=3
This is the general formula for the sum Σ(3) for η = 3 to n. To find the specific sum for a given value of n, just plug in the desired value of n into the formula.
To evaluate the sum Σ(3) where η starts from 3, we need to understand the notation and the given terms. The given sum can be represented as:
Σ(3) for η = 3
This notation means that we need to sum the constant value (3) for each value of η starting from 3. However, there seems to be missing information, specifically the upper limit of the sum. I'll assume that you meant the sum goes from η = 3 to η = n, where n is an integer value.
In that case, the sum would look like:
Σ(3) for η = 3 to n
Now, we can evaluate the sum step-by-step:
1. Determine the number of terms in the sum. Since η starts from 3 and goes up to n, there are (n - 3 + 1) terms.
2. Calculate the sum. Since the value being summed is a constant (3), we can multiply this constant by the number of terms:
Sum = 3 × (n - 3 + 1)
3. Simplify the expression:
Sum = 3 × (n - 2)
This is the general formula for the sum Σ(3) for η = 3 to n. To find the specific sum for a given value of n, just plug in the desired value of n into the formula.
To know more about notation, refer here:
https://brainly.com/question/28730340
#SPJ11
A pole that is 12 feet tall casts a shadow
that is 9 feet long. At the same time of
day, how long is the shadow cast by a tree
that is 4 5 feet tall?
Choose the correct simplification and demonstration of the closure property given: (2x3 x2 − 4x) − (9x3 − 3x2).
The closure property refers to the mathematical law that states that if we perform a certain operation (addition, multiplication) on any two numbers in a set, the result is still within that set.In the expression (2x3 x2 - 4x) - (9x3 - 3x2), we are simply subtracting one polynomial from the other.
To simplify it, we'll start by combining like terms. So, we'll add all the coefficients of x3, x2, and x, separately.The given expression becomes: (2x3 x2 - 4x) - (9x3 - 3x2) = 2x3 x2 - 4x - 9x3 + 3x2We will then combine like terms as follows:2x3 x2 - 4x - 9x3 + 3x2 = 2x3 x2 - 9x3 + 3x2 - 4x= -7x3 + 5x2 - 4x
Therefore, the correct simplification of the expression is -7x3 + 5x2 - 4x. The demonstration of the closure property is shown as follows:The subtraction of two polynomials (2x3 x2 - 4x) and (9x3 - 3x2) results in a polynomial -7x3 + 5x2 - 4x. This polynomial is still a polynomial of degree 3 and thus, still belongs to the set of polynomials. Thus, the closure property holds for the subtraction of the given polynomials.
To know more about closure property refer to
https://brainly.com/question/30339271
#SPJ11
The length of a rectangular cement patio is 3 feet less than three times the width. The sum of the length and width of the patio is 21 feet. Find the length of the patio.
Answer: The length is 15 feet.
Step-by-step explanation:
L = 3w - 3 (length is 3 feet less than three times the width)21 = w + (3w -3)21 = 4w - 3 (add like terms)24 = 4w (substract 3 from both sides)6 = w <-- widthBut, the problem is asking for the length...
L = 3w - 3L = 3(6) - 3L = 18 - 3L = 15 ftPLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS
Answer:
( 1, -2)
step-by-step explanation:
original coordinates of C: (4, -2)if reflected over y-axis: use the formula: (x,y) → (-x,y)
new coordinates: (-4, -2)then if translated 5 units horizontally, there will be change in x axis:
new coordinates: (-4+5, -2) → ( 1, -2)L
The cost of 3 pounds of strawberries
is $6.57. What is the constant of
proportionality that relates the cost in
dollars, y, to the number of pounds of
strawberries, x?
A 3
B
6.57
C 2.19
D
Not here
help please lol it has to be one of the answer choices btw
Answer: A
Step-by-step explanation: Hi
Use a calculator to find the regression equation. Predict the average retail price of a car in 2003. Determine the year when the car will be worth $3597. The regression equation is
The predicted average retail price of a car in 2003 is $1,192.15. Using the regression equation to calculate values is a method used in the field of statistics. To calculate the regression equation, you first need to have data available. The regression equation is a straight-line equation of the form y = a + bx, where y is the dependent variable, x is the independent variable, b is the slope of the line, and a is the y-intercept.
Given, the regression equation is:
y = 1.742x + 1186.92
where, y = average retail price of a car
x = year (0 represents the year 2000, 1 represents the year 2001, and so on)
To predict the average retail price of a car in 2003, we need to find the value of y when x = 3 (since 2003 is three years after 2000).
y = 1.742(3) + 1186.92
y = 5.226 + 1186.92
y = $1,192.15
To know more about regression equation visit :-
https://brainly.com/question/32162660
#SPJ11
a simple random sample is a sample of n observations that has the same probability of being selected from the population as any other sample of n observations. True/False ?
True, a simple random sample is a sample of n observations that has the same probability of being selected from the population as any other sample of n observations.
What does standard deviation mean ?
The term "standard deviation" (or "") refers to the degree of dispersion of the data from the mean.
Data are said to be more closely grouped around the mean when the standard deviation is low and more dispersed when the standard deviation is high.
What does a simple random sample mean?
A subset of participants is randomly chosen from a population by the researcher using simple random sampling, a sort of probability sampling.
The probability of being chosen is the same for every person in the population. Then, data are gathered from as much of this randomly selected subgroup as possible.
Learn more about standard deviation
brainly.com/question/23907081
#SPJ4
a rectangular garden measures 15 m long and 13.70 m wide. what is the length of a diagonal from one corner of the garden to the opposite corner?
The length of a diagonal from one corner of the garden to the opposite corner is equal to the square root of the sum of the squares of the lengths of the sides of the garden. So, the length of the diagonal is about 20.2 meters.
Here's the solution:
Let d be the length of the diagonal.
We know that the length of the garden is 15 m and the width of the garden is 13.70 m.
We can use the Pythagorean theorem to find the length of the diagonal:
d^2 = 15^2 + 13.70^2
d = sqrt(15^2 + 13.70^2)
d = sqrt(225 + 187.69)
d = sqrt(412.69)
d = 20.2 m (rounded to the nearest tenth)