The sum of one and the product of 4 and a number x
Answers
Answer:
1 + 4x
Step-by-step explanation:
Let's break this down.
"The sum of one" means that something is being added to the number one:
1 +
"and" whatever comes after the word 'and' will be added to the number one
"the product of 4 and a number x" this means that the number four and the variable x are being multiplied:
4x
Put it together:
1 + 4x
Therefore, the expression is 1 + 4x.
Related Questions
Caitlyn sells necklaces to earn extra money. She charges $10 per necklace for material and $2.75 per hour to make unique gifts. How much would two necklaces cost together if one takes her an hour to make and the other three hours to make? Write an expression or equation and show your work and answer.
Answers
The price of one necklace is $10 plus $2.75 per hour.
If the first necklace took one hour to be made, its price is:
\(\text{price}1=10+1\cdot2.75=10+2.75=12.75\)If the second necklace took three hours to make, its price is:
\(\text{price}2=10+3\cdot2.75=10+8.25=18.25\)Now, calculating the total price, we have:
\(\begin{gathered} \text{Total}=\text{price}1+\text{price}2=12.75+18.25 \\ \text{Total}=31 \end{gathered}\)So the total price of both necklaces together is $31.00
In my bingo game you have to match 3 balls to win.
20 balls are drawn from a 60 ball total.
I’m able to deduce that I have a 1 / 34,220 chance of winning.
However, I win more like 1 / 100 attempts.
Please identify where my maths is going wrong:
My maths:
For the first ball there are 60 options.
For the second ball there are 59 options.
For the third ball there are 58 options.
I need to multiply these 3 options:
60 x 59 x 58 = 205,320
1 / 205,320.
However, the order of the numbers doesn’t matter, so we’ll exclude permutations from the total combinations:
Permutations = 3! = 3x2 = 6
205,320 / 6 = 34220
So to win a this game I have a 1 / 34,220 chance.
Why then am I winning 1/100 attempts? Something is very wrong.
Answers
Using the hypergeometric distribution, it is found that you are going to win approximately 3.33% of the time. The reason for the difference is that you considered that only 3 balls would be drawn, and not 20.
What is the hypergeometric distribution formula?The formula is:
\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are:
x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.For this problem, the parameters are given as follows;
N = 60, k = 3, n = 20.
You win if you have the 3 correct balls, hence the probability is P(X = 3), found as follows:
\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)
\(P(X = 3) = h(3,60,20,3) = \frac{C_{3,3}C_{60,20}}{C_{60,20}} = 0.0333\)
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Compare 3√ 63 and 400% using <, >, or =.
√√63 >400%
√63 = 400%
C400%<√63
C400%> 63
Answers
On solving the provided question, 3√ 63 and 400% , so the answer is \(3\sqrt{63} = 23.81\) is greater
What is comparison?
This week, comparison questions—which require analysing similarities or differences across sets—are the sort of topic being discussed. Unknown difference: Estimating how much one set exceeds another is one form of comparison challenge.
Mathematicians refer to the process or method of comparing numbers as the use of their values to determine whether one number is less than, larger than, or equal to another. "," which means "less than," and "," which indicates "greater than," are the symbols used to compare numbers. "=" stands for "same."
here,
\(3\sqrt{63} = 23.81\)
and 400% =4
so \(3\sqrt{63} = 23.81\) is greater
\(3\sqrt{63} = 23.81\) > 400 %
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PLEASE HELP ME WILL GIVE BRAINLIEST
Answers
Answer:
1 3/4, 0
Step-by-step explanation:
You have to go 1 3/4 to the right and 0 up.
1. answer the three questions below about the quadrilateral:
a. How could we find the perimeter below about the quadrilateral?
b. How might we calculate the area of this figure?
c. It looks like it might be a rectangle. What can we do to help us decide if it's a rectangle or a parallelogram?
Answers
Before we begin, note that we need to use the distanse formula for everything to reach our conclusion. With that being said, here we go:
\(\displaystyle \sqrt{[-x_1 + x_2]^2 + [-y_1 + y_2]^2} = d\)
Using the ordered pairs \(\displaystyle [3, -3]\) and \(\displaystyle [4, -2]\) for instanse:
\(\displaystyle \sqrt{[-3 + 4]^2 + [3 - 2]^2} = \sqrt{1^2 + 1^2} = \sqrt{2}\)
Now, sinse the distanse between \(\displaystyle [3, -3]\) and \(\displaystyle [4, -2]\) is \(\displaystyle \sqrt{2}\) units, then the distanse between \(\displaystyle [1, 1]\) and \(\displaystyle [0, 0]\) ALSO has to be \(\displaystyle \sqrt{2}\) units. By definition, lettre c has already been answered for you because sinse it is a rectangle, if the two short sides are congruent, then the two long sides ALSO have to be congruent, but just in case you want to be sure [you do not trust your instincts], just simply re-use the distanse formula.
Using the ordered pairs \(\displaystyle [1, 1]\) and \(\displaystyle [4, -2]\) for instanse:
\(\displaystyle \sqrt{[-1 + 4]^2 + [-1 - 2]^2} = \sqrt{3^2 + [-3]^2} = \sqrt{9 + 9} = \sqrt{18} = 3\sqrt{2}\)
So there you have it. The length of both of the long sides is \(\displaystyle 3\sqrt{2}\) units.
Now that we cleared all of that up, we can now find the perimetre and area of this rectangle:
\(\displaystyle 2w + 2l = P\)
\(\displaystyle 2[\sqrt{2}] + 2[3\sqrt{2}] = 2\sqrt{2} + 6\sqrt{2} = 8\sqrt{2}\)
The perimetre of this rectangle is \(\displaystyle 8\sqrt{2}\) units.
\(\displaystyle wl = A\)
\(\displaystyle [\sqrt{2}][3\sqrt{2}] = [3][2] = 6\)
The area of this rectangle is \(\displaystyle 6\) squared units.
You have now found what you were looking for.
** All rectangles are parallelograms because they both have two pairs of parallel and congruent sides, while vice versa is falce because a parallelogram does not have four congruent right angles, so it is safe to say that this is both a rectangle AND parallelogram, sinse the picture displayed is a rectangle.
I am joyous to assist you at any time. ☺️
9514 1404 393
Answer:
a) compute and add up the side lengths
b) multiply length by width
c) compare the slopes of adjacent sides
Step-by-step explanation:
a) The perimeter of any figure is the sum of the lengths of its sides. It can be computed for a rectangle or parallelogram by adding the lengths of adjacent sides and multiplying the sum by 2.
In this graph, each grid square is 1/2 unit. The width of the rectangle is the diagonal of a square that is 1 unit on a side, so is √2 units. The length is 3 times that, so the perimeter is ...
P = 2(L+W)
P = 2(3√2 +√2) = 8√2 . . . . perimeter of the rectangle in units
__
b) The area is the product of the length and width.
A = LW
A = (3√2)(√2) = 6 . . . . area of the rectangle in square units
__
c) Each side lies on the diagonal of a unit square. The diagonals of a square are perpendicular, so the sides of this parallelogram are perpendicular. That means the figure is a rectangle.
The basic idea is to look at adjacent sides to see if they are perpendicular. Here, we have determined that using the properties of a square. One could compute "rise"/"run" for each side to see of the values are opposite reciprocals.
origin to B: rise/run = 1/1 = 1
B to C: rise/run = -3/3 = -1
Each of these values is the opposite reciprocal of the other: 1 = -1/-1.
_____
Additional comment
This question seems to be about methods, not about numbers. We have given numbers anyway.
Find the surface area of the right triangle prism(above) using the net (below)
Answers
Answer:
144
Step-by-step explanation:
2( 1/2 × 3 × 4 ) + ( 11 × 5) + ( 11 × 4 ) + ( 11 × 3)
= 12 + 55 + 44 + 33
= 144
Guys help please
Determine the ratio in the picture below
Answers
A local charity holds a carnival to raise money. In one activity, participants make a $3 donation for a chance to spin a wheel that has 10 spaces with the values, 0, 1, 2, 5, and 10. Whatever space it lands on, the participant wins that value. Let X represent the value of a random spin. The distribution is given in the table.What is the probability that the value is 0?0.20.40.50.6
Answers
Answer:
The first option (1)
Step-by-step explanation:
Because i am always right and i know how to do math :) .
Your welcome
The Leibnitz notation for the chain rule is
(1 point) Suppose y = sin(x2 - 4x). We can write y = sin(u), where u =
dy dy du
dy
du
The factors are
(written as a function of u ) and
dx du dx
du
dx
x for u to get
Now substitue in the function of
=
dy
dx
(written as a function of x ).
Answers
For this derivative, you could set
\(\boxed{u = x^2 - 4x}\)
Then
\(y = \sin(x^2-4x) = \sin(u)\)
so that
\(\boxed{\dfrac{\mathrm dy}{\mathrm du} = \cos(u)}\)
and
\(\boxed{\dfrac{\mathrm du}{\mathrm dx} = 2x - 4}\)
Then the chain rule gives
\(\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{\mathrm dy}{\mathrm du}\dfrac{\mathrm du}{\mathrm dx} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = \cos(u)(2x-4) \\\\ \boxed{\dfrac{\mathrm dy}{\mathrm dx} = (2x-4)\cos(x^2-4x)}\)
P+p+p/2+p/4+1=100
Polinomios
Answers
Answer:
=
3
6
Step-by-step explanation:
+
+
2
+
4
+
1
=
1
0
0
{\color{#c92786}{p}}+{\color{#c92786}{p}}+\frac{p}{2}+\frac{p}{4}+1=100
p+p+2p+4p+1=100
2
+
2
+
4
+
1
=
1
0
0. 2
+
2
+
4
+
1
=
1
0
0
2p+\frac{p}{2}+\frac{p}{4}+1=100
2p+2p+4p+1=100
2
+
2
+
4
+
1
−
1
=
1
0
0
−
1. Subtract the numbers
Subtract the numbers
2
+
2
+
4
=
9
=
3
6
.
Amadi is three times as old as Chima. The sum of their ages is 24
Answers
Answer:
Amadi: 20 years old
Chima : 4 years old
Enter the sum of numbers as a product of their GCF.
Print
45 +90
The sum of the numbers as a product of their GCF is
Answers
Answer:
4, 7 ,2
Step-by-step explanation:
Formulate a definition of the integral b to a f(x) dx for a function continuous on [a,c) and on (c,b] and unbounded in every interval containing c. Supply an example.
Answers
The integral of a function that is continuous on [a, c) and on (c, b], but unbounded in every interval containing c.
The integral of a function f(x) over the interval [a, b], denoted as ∫ab f(x) dx, can be described as the maximum sum of the areas of rectangles beneath the f(x) graph as the rectangles' widths get closer to zero.
The integral is not defined throughout the full interval [a, b] in the situation of a function that is continuous on [a, c] and on (c, b), but unbounded in every interval including c.
In this case, the integral can only be defined over the intervals [a, c) and (c, b].
For example,
consider the function f(x) = 1/x.
This function is continuous on (0, 1) and on (1, ∞), but is unbounded in the interval [0, 1].
The integral of this function over the interval (0, 1) can be calculated as ∫01 (1/x) dx = -ln(x)|01 = -ln(1) + ln(0) = -∞.
Similarly, the integral over the interval (1, ∞) can be calculated as ∫1∞ (1/x) dx = ∞.
Therefore the integral of a function that is continuous on [a, c) and on (c, b], but unbounded in every interval containing c.
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Divide x^2+x-4 by (x+3)
Answers
The resulting value of the division of x²+x-4 by (x+3),
Quotient = x - 2
Remainder = 2
Division:
The process of division means the process of breaking a number up into equal parts, and finding out how many equal parts can be made.
Given,
Here we have the expression x²+x-4.
Now, we need to divide by the expression (x + 3).
Here we have to use the long division method in order to solve it.
The following steps are followed to solve this:
1. Divide the first term of the dividend by the first term of the divisor
2. Write down the calculated result x in the upper part of the table.
3. Multiply it by the divisor
4. Subtract this result from the dividend
This steps is repeated until no further division.
Thus process will be showed on the attached figure.
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Which angle is adjacent to 4?
Answers
what is inequalities
Answers
Inequalities are used in various branches of mathematics, as well as in real-world applications such as economics, physics, and social sciences, to describe relationships, make comparisons, and analyze data.
Inequalities are mathematical statements that describe a relationship between two values or expressions, indicating that one is greater than, less than, or not equal to the other. Inequalities are used to compare quantities and express their relative sizes or order.
The most common symbols used in inequalities are:
">" (greater than): indicates that the value on the left side is larger than the value on the right side.
"<" (less than): indicates that the value on the left side is smaller than the value on the right side.
"≥" (greater than or equal to): indicates that the value on the left side is greater than or equal to the value on the right side.
"≤" (less than or equal to): indicates that the value on the left side is less than or equal to the value on the right side.
"≠" (not equal to): indicates that the values on both sides are not equal.
Inequalities can be represented using variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. Solutions to inequalities are often expressed as intervals or sets of values that satisfy the given inequality.
Inequalities are used in various branches of mathematics, as well as in real-world applications such as economics, physics, and social sciences, to describe relationships, make comparisons, and analyze data.
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The length of a rectangle is shown below:
If the area of the rectangle to be drawn is 12 square units, where should points C and D be located, if they lie vertically below the line that connects B and A, to make this rectangle? (1 point)
A. C(−3, −2), D(1, −2)
B. C(−3, −1), D(1, −1)
C. C(−3, −4), D(1, −4)
D. C(−3, −5), D(1, −5)
Answers
Answer:
A - C(-3, -2), D(1, -2)
Step-by-step explanation:
In the diagram, line p(perpendicular) line r. Which must be true?
Answers
simplify -4y+8y answer quick pls
Answers
Step-by-step explanation:
-4y + 8y = 4y
it is the same as -4 + 8 = 4
Answer:
4y is the answer.
Step-by-step explanation:
Since there is like variables, we can add -4y and 8y.
=> -4y + 8y = 4y.
Therefore, 4y is the answer. Hoped this helped.
Two friends each attempt to measure an exact distance of 120 feet using a tape measure. One friend's measurement is 121 feet, and the other friend's measurement is 119 feet.
What is the percent error for the 121-foot measurement, to the nearest hundredth?
What is the percent error for the 119-foot measurement, to the nearest hundredth?
How are your answers to Parts A and B related? Explain.
Answers
The percent error for the 121-foot measurement is approximately 0.83%.
What distinguishes percent difference from percent error?In the event of contrasting a measured or trial value with a known or accepted value, percent error is employed, whereas percent difference is used to compare two values. The percentage difference is determined by dividing the absolute variance of two numbers by their average, then multiplying the result by 100%.
For the 121-foot measurement:
Absolute error = |121 - 120| = 1
Percent error = (absolute error / actual value) x 100%
Percent error = (1 / 120) x 100%
Percent error ≈ 0.83%
Therefore, the percent error for the 121-foot measurement is approximately 0.83%.
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What is the slope of the linear function represented in the table? 0 역 01 107
Answers
(0-1)/(7-0)=-1/7
i need help with the sudoku
Answers
Answer:
see picture
Step-by-step explanation:
Besides using the proper formula, what must you be cautious of when calculating the area of geometric
figures? Why?
Answers
Answer:
Some units are inches and some are feet. In that case, you would need to convert in order for the equation to be solved.
Step-by-step explanation:
I got 100% on edgen
Cautious of when calculating the area of geometric figures is different unit.
What are units?A measurement unit is a standard quantity used to express a physical quantity.
The main caution while calculating the geometric figures is units.
Sometimes units are inches and some are feet.
In this case, we need to convert in order to get the correct calculation because different measurements can cause error in finding the solution.
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The pH scale measures the amount of alkalinity or acidity in a liquid and ranges from 0-14. The ideal pH for a swimming pool is 7.2. A pH that is too high or low can cause discomfort for the swimmers, especially in the eyes. High variability in the pH readings across the swimming pool can be problematic. The following data shows seven pH readings that were taken at the Wilson Community Pool from different locations at 10 a.m. this morning. The average pH reading from this sample was 7.02 with a sample standard deviation of 0.40. Using α= 0.05 and the critical value approach, determine if correctiveaction is needed at this pool to adjust the pH value.
Required:
State your conclusion.
a. Because calculated t statistic is greater than t critical value, we reject the null hypothesis. Therefore, Wilson Community Pool cannot conclude that the pH value is not equal to 7.2. Based on this sample, corrective action needs to be
taken.
b. Because calculated t statistic is less than critical t value, we reject the null hypothesis. Therefore, Wilson Community Pool cannot conclude that the pH value is not equal to 7.2. Based on this sample, corrective action needs to be
taken.
c. Because the t calculated is greater than the critical t, we fail to reject the null hypothesis. Therefore, Wilson Community Pool conclude that the pH value is equal to 7.2. Based on this sample, no corrective action is needed.
d. Because the t calculated is less than the critical t, we fail to reject the null hypothesis. Therefore, Wilson Community Pool conclude that the pH value is equal to 7.2. Based on this sample, no corrective action is needed.
Answers
Answer:
the answer for the question is b.because calculated statistic less than critical t,value we reject the null hypothesis. Therefore, Wilson Community Pool cannot conclude............
The Conclusion of the Hypothesis is; D. Because the t calculated is less than the critical t, we fail to reject the null hypothesis.
How to State A Hypothesis Conclusion?From the given question, we see that;
Population Mean; μ = 7.2
Sample Mean; x⁻ = 7.02
Significance level; α = 0.05
Now, in hypothesis, If the absolute value of the t-value is less than the critical value, you fail to reject the null hypothesis whereas if the absolute value of the t-value is greater than the critical value, you reject the null hypothesis.
Thus, the conclusion is that d. Because the t calculated is less than the critical t, we fail to reject the null hypothesis. Therefore, Wilson Community Pool conclude that the pH value is equal to 7.2. Based on this sample, no corrective action is needed.
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12. Graph 3x - 2y < 9
Answers
desmos is a great website for this!
JKLM is a rhombus.
m/JMN = (-x+69)*
mZLMJ = (-6x +166)
K
N
M
Find the mZLKN.
label optional
Answers
The angle LKN in the rhombus is 62 degrees.
How to find angles in a rhombus?A rhombus is a quadrilateral that has 4 sides equal to each other. The sum of angles in a rhombus is 360 degrees.
Opposite angles are equal in a rhombus. The diagonals bisect each other at 90 degrees. Adjacent angles add up to 180 degrees.
Therefore, let's find ∠LKN as follows:
m∠JMN = (-x + 69)
m∠LMJ = (-6x + 166)
Therefore,
1 / 2 (-6x + 166) = -x + 69
-3x + 83 = -x + 69
-3x + x = 69 - 83
-2x = -14
x = -14 / -2
x = 7
Therefore,
∠LKN = 1 / 2 (-6x + 166)
∠LKN = 1 / 2 (-6(7) + 166)
∠LKN = 1 / 2 (-42 + 166)
∠LKN = 62 degrees
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A rectangular vegetable garden will have a width that is 3 feet less than the length, and an area of 54square feet. If x represents the length, then the length can be found by solving the equation: x(x-3)=54 What is the length, x, of the garden? The length is blank feet.
Answers
Answer: 9 feet
Step-by-step explanation:
From the information given, we have already been given the equation which is x(x-3)=54. Therefore we will find the value of x which will be:
x(x-3)=54
x² - 3x - 54
x² - 9x + 6x - 54
x(x - 9) + 6(x - 9)
Therefore,
(x - 9) = 0
x = 0 + 9
x = 9
The length is 9 feet
The width will be:
x - 3 = 9 - 3 = 6 feet
Please help! The photo will explain it all, help is much appreciated! :)
Answers
Answer:
The answer is - 4/5
Step-by-step explanation:
Because the "opposite" of a number is its inverse operation, therefore it is negative 4/5
Colin borrowed 4200 at 8% simple interest to be paid back in 3 years. How much interest will he pay
Answers
Answer:
Answer 1008
Step-by-step explanation:
Chuck is taking his kids to the store to buy new converse shoes. he is given a choice of high tops or low tops. They may also choose from the colors red, gray, black, or pink.
What is the probability that his kids will choose a low top shoe that is gray or pink?
A. 1/4
B. 1/2
C. 1/3
D. 3/4
Answers
Answer:
B. 1/2
Step-by-step explanation:
The kids are given 4 options (grey, pink, red, black)
pink and grey are 2 options out of the 4 so 2/4
or 1/2 probability that they will choose the grey or pink shoes
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