Given data:
The given discount is D=35%.
The cost of lether slacks is C=$189.99.
The expression for the
i need help with my homework PLEASE CHECK WHEN FINISHED
Answer:
The recursive formula is given below as
\(\begin{gathered} a_1=7 \\ a_n=-3+a_{(n-1)} \end{gathered}\)Step 1:
To figure out the value of the forurth term, we will substitute the value of
\(n=4\)By substituting the n=4, we will have
\(\begin{gathered} a_{n}=-3+a_{(n-1)} \\ a_4=-3+a_{(4-1)} \\ a_4=-3+a_3 \end{gathered}\)Step 2:
Calculate the second term and the third term
\(\begin{gathered} a_{n}=-3+a_{(n-1)} \\ a_2=-3+a_{(2-1)} \\ a_2=-3+a_1 \\ a_2=-3+7 \\ a_2=4 \\ \\ a_{n}=-3+a_{(n-1)} \\ a_3=-3+a_{(3-1)} \\ a_3=-3+a_2 \\ a_3=-3+4 \\ a_3=1 \end{gathered}\)Step 3:
Substitute the value of the third term in the equation below
\(\begin{gathered} a_{4}=-3+a_{3} \\ a_4=-3+1 \\ a_4=-2 \end{gathered}\)Hence,
The final answer is
\(\Rightarrow-2\)OPTION C is the right answer
Write an expression that is equivalent to
za
1
a - 4.
1
a
4 =
?
(
|
?
Answer:
½a - 4 = ? ( a - ?)
1a - 8 = -7a ( a - ?)
= ( a- 7a)
= ( -6a)
A study collected a large dataset on collegiate football players scores on a cognitive reaction test. The dataset is approximately normal with a mean of 59 and a standard deviation 7. What proportion of college football players score higher than 50 on the test?
Divide 7 inch line into three parts so that each part is 1 inch longer than
The 7-inch chord can be divided into three parts, one with a length of 3 inches and two with a length of 2 inches.
What are the length of three parts from a 7-inch chord?
In this problem we have a chord of 7 inches long that must be divided into three parts such that one part is a inch longer than any of the two other parts. Mathematically speaking, the situation is represented by the following linear equation, which is resolved afterwards:
x + x + x + 1 = 7
3 · x + 1 = 7
3 · x = 6
x = 2
In consequence, the 7-inch chord can be divided into three parts, one with a length of 3 inches and two with a length of 2 inches.
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(20 POINTS!!) Find the probability that a multiple of 3 or an odd number is rolled on a number cube.
Answer:
1/8
Step-by-step explanation:
A “standard number cube” has six sides, marked 1 2 3 4 5 and 6. Of those, exactly half are even and exactly half are odd, so we can dispense with the 6 part and just go 1/2 (the same as 3/6, after all)
So the first roll is even half the time. If it is, the second roll is odd half the time, so the chances of an even then odd pair are 1/2*1/2=1/4.
If those two happen in the correct order, the chances of the third roll being even are again 1/2… so we have 1/2*1/2*1/2=1/8
Hope it helps
help me please
dont even need a full explanation
Consider the triangle.
Right triangle A B C. Side A C is 24 centimeters, C B is 10 centimeters, and hypotenuse A B is c.
Find the length of the hypotenuse, c.
The length of the hypotenuse is
cm.
Answer:
It is 26cm.
Step-by-step explanation:
Do Pythagorean theorem, a^2+b^2=c^2
So 24^2+10^2,
576+100,
676.
Next, we square root it to simplify c^2 to get c by itself
(sqrt)676,
26.
You are at a restaurant and the check comes to a total of $23. If you want to leave a 20% tip, how much total money should you pay, to the nearest cent?
Answer:
$27.60
Step-by-step explanation:
23×1.2=27.60 is the answer
Leah is building a birdhouse for purple martins birds that prefer cube shaped birdhouses what are the dimensions of each square piece of wood leah needs to build the 216 cubic inch birdhouse
Answer:
Each square piece of wood will be 6 inches
Step-by-step explanation:
B
30
P
8
so
4 cm
n
4 cm
D
80°
30
1st Set of
Transformation:
2nd Set of
Transformation:
Transformation in math refers to the process of changing the position, size, or shape of a geometric figure.
What is the transformation about?Geometric transformations can be divided into four main categories:
Translation: A translation is a transformation that slides a geometric figure in a specific direction without changing its shape or orientation. The distance and direction of the movement are specified by a vector.
Rotation: A rotation is a transformation that turns a geometric figure around a fixed point called the center of rotation. The shape and size of the figure remain unchanged, but its orientation is different.
Reflection: A reflection is a transformation that flips a geometric figure over a line called the line of reflection. The shape of the figure remains the same, but its orientation is reversed.
Scaling: Scaling is a transformation that changes the size of a geometric figure. It can be either a uniform scaling, where the figure is enlarged or shrunk by the same amount in all directions, or a non-uniform scaling, where the figure is stretched or compressed in different directions.
These four types of transformations can be combined to create more complex transformations, such as a rotation followed by a translation. Transformations are important in many areas of mathematics, including geometry, linear algebra, and calculus. They have applications in fields such as computer graphics, robotics, and physics.
An overview was given as your information is incomplete.
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Jason sells trail mix online. The table below lists the numbers of boxes in the orders on one day for his most popular fruit and nut mix.
Which dot plot represents the data in the table?
The dot plot that represents the data in the table is: D.
How to Represent a Data on a Dot Plot?If we have a given set of data values of a data distribution, "x" can be used to represent each of the data point in the data set. The number of "x" on a data point, tells the frequency of the data point that is displayed by a dot plot.
To construct the dot plot given in the diagram, find the frequency of each data point. Thus, we would have the following:
50 - 3
60 - 2
80 - 3
90 - 8
100 - 4
Thus, the dot plot in option D displays the exact number of "x" that tallies with the above frequency for each data point. Therefore, the dot plot that represents the data in the table is: D.
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some adults and children are watching a musical there are n children there are 25 fewer adults
According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99
A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.
B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.
To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.
Note: The given question is incomplete. The complete question is:
Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.
A) find the number of adults in terms of 'N'.
B) if there are 124 children how many adults are there?
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Question no 59
Need solution
The area of the shaded region is 104 cm²
How to determine the areaFirst, we need to know that the area of a circle is calculated using the formula;
A = πr²
Such that the parameters of the formula are;
A is the area of the circler is the radiusFirst, let us find the area of the small circle
Area = 3.14 × 4²
Find the square value and multiply, we have;
Area = 50.24cm²
Area of the large circle = 3.14 × 7²
Find the square value and multiply
Area = 153. 86cm²
Area of the shaded region = Area of large circle - area of small circle
= 153.86 - 50.24
= 104 cm²
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pls help me with this problem :)
The areas of two similar triangles are 9 cm² and 49 cm². One of the sides of the first
triangle is 2 cm. What is the length of the corresponding side of the other triangle?
Answer:
I believe it should be rounded to 11, if not decimal would be 10.88
Step-by-step explanation:
49 divided by 9 equals 5.44 which is the amount times the 49cm^2 triangle is compared to the 9cm^2. So then the side is 2cm, multiply by the amount times bigger the other triangle is which would be 10.88. Hopefully I'm not wrong:)
Answer:
The answer is 4 and 2/3 cm²
Step-by-step explanation:
Take the square root of 49 and 9 and you'll get 7 and 3 since the scale factor is the large area over the small area.
The large area would be √49 cm²
The small area would be √9 cm²
7 x cm
------ = ----------, cross multiply
3 2 cm
7 × 2 = 3 × x
14 = 3x
x = 14/3, x = 4 and 2/3
3 : 7 = 300 : x fill in the x for the equivalent ratios
Answer: 300:700
Step-by-step explanation:
If you have a 3:7 ratio and you multiply the 3 by 100, you would also have to multiply the 7 by 100, giving you a 300:700 ratio. Plz note I could be wrong but I believe that is the answer you are looking for
From the sum of -14 and -16, subtract the product of -6 and -5.
Please give me the answer to this problem!!
Answer:
2nd option
Step-by-step explanation:
x is left and right
y is up and down
just look at the y coordinate for any point and translate 5 points down.
Answer:
Step-by-step explanation:
second answer
HELP ME OUT
Which equation represents the proportional relationship represented by the table?
A) y = 4x
B) y=x+4
C) y= 1/4x
D) y=x - 4
Answer:
y=1/4x
Step-by-step explanation:
each y is 1/4 of the x value
What’s the correct answer for this?
Answer:
-20/3
Step-by-step explanation:
m = ∆y/∆x
∆y = -8 - 12 = -20
∆x = 8 - 5 = 3
Hence m= ∆y/∆x = -20/3
What is the deposit of $40
The integer form is + 40.
The integer form is - 25
What is an integer?An integer is a whole number from the set of negative, non-negative, and positive numbers.
Therefore, integers can be written without fractional components.
Hence, integers may include negative or positive numbers . Examples are -1, 2, 5, -8, 9 and many more.
A deposit of 40 dollars means gain. Therefore, the integer form is + 40.
A loss of 25 pounds mean loss. Therefore, the integer form is - 25
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I NEED HELP PLEASE AND THANK YOU!!! ASAP
Answer:
71
Step-by-step explanation:
Initial angle lies in 4th quadrant
if a number is divided by an d minused from an another number
This process required 3 to be subtracted 5 consecutive times, so again we see that 15 ÷ 3 = 5. The number that is being divided (in this case, 15) is called the dividend, and the number that it is being divided by (in this case, 3) is called the divisor. The result of the division is the quotient.
Division is a simple operation in which a number is divided. It's easiest to think of it as a number of objects being divided among a certain number of people.
Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
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Newton's Law of Cooling/Warming
21. Suppose a pizza is removed from an oven at 400°F into a kitchen whose
temperature is a constant 80°F. Three minutes later the temperature of the
pizza is found to be 275°F.
(a) What is the temperature T() of the pizza after 5 minutes?
(b) Determine the time when the temperature of the pizza is 150°F.
(c) After a very long period of time, what is the approximate temperature of
the pizza?
After answering the presented question, we can conclude that As a equation result, the pizza's temperature after 5 minutes is 320°F.
What is equation?In mathematics, an equation is a statement that states the equality of two expressions. An equation consists of two sides separated by an algebraic equation (=). The argument \("2x + 3 = 9," f\)or example, states that the sentence "2x Plus 3" equals the value "9." The goal of solving equations is to find the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complex, linear or nonlinear, and contain one or more parts. In the equation\("x^2 + 2x - 3 = 0,"\)the variable x is raised to the second power. Lines are used in many areas of mathematics, including algebra, calculus, and geometry.
Let T(t) be the temperature of the pizza at time t, where t is in minutes. Then,
(a) Applying the Newton's Law of Cooling calculation, we get:
(T(0) - 80) / (400 - 80) = k (where k is the proportionality constant) (where k is the proportionality constant)
When we solve for k, we get:
k = (T(0) - 80) / 320
(T(3) - 80) / (400 - 80) = (T(0) - 80) / 320
T(0) = 400 - 320 * (T(3) - 80) / 320 = 400 - (T(3) - 80) = 320 + 80 = 400°F
(T(5) - 80) / (400 - 80) = (T(0) - 80) / 320
(T(5) - 80) / 320 = (400 - 80) / 320
T(5) - 80 = 3 * (400 - 80) / 4
T(5) = 3 * 320 / 4 + 80 = 240 + 80 = 320°F
As a result, the pizza's temperature after 5 minutes is 320°F.
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which expression is equivalent to
2x-11x-6
Answer:
Step-by-step explanation:
The expression 2x - 11x - 6 can be simplified as follows:
2x - 11x - 6 = -9x - 6
So, the equivalent expression is -9x - 6.
The answer is:
-9x - 6
Work/explanation:
To simplify this expression, we combine the like terms :
\(\huge\text{2x - 11x - 6} \\ \\ \\ \text{-9x - 6}\)
There's nothing that we can do for this expression. It's been simplified as much as possible.
Hence, the answer is -9x - 6.determine whether each relationship is proportional by graphing on a coordinate plane. explain your reasoning.
This answer states that when graphing a linear relationship (y = 2x) on a coordinate plane, the points form a straight line, indicating that the relationship is proportional. However, when graphing a non-linear relationship (y = x2) on a coordinate plane, the points form a parabolic curve, indicating that the relationship is not proportional.
A: Relationship 1:
The relationship between x and y is y = 2x.
When graphed on a coordinate plane, the points (0,0), (1,2), (2,4), (3,6), and (4,8) form a straight line, indicating that the relationship is proportional.
Relationship 2:
The relationship between x and y is y = x2.
When graphed on a coordinate plane, the points (0,0), (1,1), (2,4), (3,9), and (4,16) form a parabolic curve, indicating that the relationship is not proportional.
This answer states that when graphing a linear relationship (y = 2x) on a coordinate plane, the points form a straight line, indicating that the relationship is proportional. However, when graphing a non-linear relationship (y = x2) on a coordinate plane, the points form a parabolic curve, indicating that the relationship is not proportional.
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(-2) * n * (8) * n * (-n)
Answer:
16\(n^{3}\)
Step-by-step explanation:
we evaluate from left side to right side
so -2*n =-2n
-2n *8 = -16n
-16n * n =-16n^2
-16 n * -n =16 n^3
hope this helps
What is the slope of the following table?
Answer:
slope: 5/2
Step-by-step explanation:
Type the correct answer in each box. Use numerals instead of words.
What is the equation of the quadratic function shown in the graph?
The equation of the quadratic function shown in the graph y - 8 = -2(x + 1)².
How to illustrate the graph?The vertex of this parabola is (-1, 8). It opens downward, so the x² term has a negative coefficient. The zeros are (-3, 0) and (1, 0), and the y-intercept is (0, 7).
Through the vertex form of the equation of a parabola we get:
y - (8) = a(x - (-1)) + 7, or.y - 8 = a(x + 1)².
Find coefficient a by substituting the coordinates (-3, 0) in this equation:
0 - 8 = a(-3 + 1)^2, or
-8 = a(-2)² or a = -2
The desired equation is y - 8 = -2(x + 1)^2
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PLEASE HELP!!!
Which expression are equal to 6³×2 6÷2³?
O12 6
O12³
O6³
O2 6×3³
O2³×3³
Answer:
(6³×2^6)÷2³=6³×2^(6-3)=6³×2³=(6×2)³=12³is your answer(1728)
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 4.4 parts/million (ppm). A researcher believes that the current ozone level is at an insufficient level. The mean of 23 samples is 4.2 ppm with a standard deviation of 0.7. Does the data support the claim at the 0.01 level? Assume the population distribution is approximately normal. Step 1 of 5: State the null and alternative hypotheses.
Solution:
To test the hypothesis is that the mean ozone level is different from 4.40 parts per million at 1% of significance level.
The null hypothesis and the alternative hypothesis is :
\($H_0: \mu = 4.40$\)
\($H_a: \mu \neq 4.40$\)
The z-test statistics is :
\($z=\frac{\overline x - \mu}{\left( \sigma / \sqrt n \right)} $\)
\($z=\frac{4.2 - 4.4}{\left(0.7 / \sqrt{23} \right)} $\)
\($z =\frac{-0.2}{0.145}$\)
z = -1.37
The z critical value for the two tailed test at 99% confidence level is from the standard normal table, he z critical value for a two tailed at 99% confidence is 2.57
So the z critical value for a two tailed test at 99% confidence is ± 2.57
Conclusion :
The z values corresponding to the sample statistics falls in the critical region, so the null hypothesis is to be rejected at 1% level of significance. There is a sufficient evidence to indicate that the mean ozone level is different from 4.4 parts per million. The result is statistically significant.