Answer:
{-4; -5}
Step-by-step explanation:
just put any integer from set S in place of p and you will know. the inequality is false with -2 and -3, but with other two numbers is true
A model car has a list price of $46.20. The model is on
sale at 15% off. Find the total cost to the nearest cent
after a 4.5% sales tax is added to the sale price.
Answer:The total cost is $41.04
Step-by-step explanation:
Please answer if blurry let me know
Answer:
[tex]P'(-6,4)[/tex]
Step-by-step explanation:
P(x,y) -> rotate 90 degrees -> P'(-y,x)
P'(-6,4)
:]
(Brainliest would be greatly appreciated :] )
find the indicated sum in each sequence 7,10,17,27,44,71,115...,a10
The sequence of numbers, 7, 10, 17, 27, 44, 71, 115... in which each new term is given by the sum of the previous two terms, gives the sum of the first 10 terms as 1,265
What is a sequence of numbers?A number sequence consists of a listing of numbers that are connected to each other by a rule.
The given sequence is presented as follows;
7, 10, 17, 27, 44, 71, 115..., [tex] a_{10}[/tex]
From the given sequence, we have;
a_n = a_{(n-1)} + a_{(n-2)}
The first 10 terms of the sequence is therefore;
7, 10, 17, 27, 44, 71, 115, (71+115), (115+(71+115)), ((71+115)+(115+(71+115)))
Which gives;
7, 10, 17, 27, 44, 71, 115, 186, 301, 487
The sum of the first 10 terms of the sequence is therefore;
7 + 10 + 17 + 27 + 44 + 71 + 115 + 186 + 301 + 487 = 1265
Learn more about sequence and series here:
https://brainly.com/question/12668338
#SPJ1
Solve the inequality.8(x-1) >12(x-2)
SOLUTION
Solve the inequality.
[tex]8(x-1)>12(x-2)[/tex][tex]\begin{gathered} 8(x-1)>12(x-2) \\ 8x-8>12x-24 \\ 8x-12x>-24+8 \\ -4x>-16 \end{gathered}[/tex]divide both sides by -4
[tex]\begin{gathered} -4x>-16 \\ x<\frac{16}{4} \\ x<4 \end{gathered}[/tex]Evaluate. Write your answer as a whole number or as a simplified fraction.
Answer:
1000
Step-by-step explanation:
Hello!
Use the Quotient Property of Exponents to evaluate the expression:
[tex]\frac{a^b}{a^c} = a^{b-c[/tex]
In this case, a is 10, b is 5, and c is 2.
Evaluate:[tex]\frac{10^5}{10^2}[/tex][tex]10^{5-2}[/tex][tex]10^3[/tex]If we simplify 10³, we should get 1000.
solve for t
300,000 = 300 (1+.0375/12) ^ (12t) / (.0375/12)
If the equation be [tex]$300000=\frac{300\left(1+\frac{0.0375}{12}\right)^{(12 t)}}{\left(\frac{0.0375}{12}\right)}$$[/tex]then the value of t = 30.43236.
How to estimate the value of t?Let the equation be
[tex]$300000=\frac{300\left(1+\frac{0.0375}{12}\right)^{(12 t)}}{\left(\frac{0.0375}{12}\right)}$$[/tex]
Multiply both sides by 0.0375 / 12, and we get
[tex]$300000 \cdot \frac{0.0375}{12}=\frac{300\left(1+\frac{0.0375}{12}\right)^{12 t}}{\frac{0.0375}{12}} \cdot \frac{0.0375}{12}$$[/tex]
Simplifying the above equation, we get
[tex]$\frac{1875}{2}=300\left(1+\frac{0.0375}{12}\right)^{12 t}$$[/tex]
Switch sides of the equation,
[tex]$300\left(1+\frac{0.0375}{12}\right)^{12 t}=\frac{1875}{2}$$[/tex]
Divide both sides by 300, and we get
[tex]$\frac{300\left(1+\frac{0.0375}{12}\right)^{12 t}}{300}=\frac{\frac{1875}{2}}{300}$$[/tex]
Simplifying the above equation, we get
[tex]$\left(1+\frac{0.0375}{12}\right)^{12 t}=\frac{25}{8}$$[/tex]
Apply exponent rules, then
[tex]$12 t \ln \left(1+\frac{0.0375}{12}\right)=\ln \left(\frac{25}{8}\right)$$[/tex]
Solving the above equation, then
[tex]$12 t \ln \left(1+\frac{0.0375}{12}\right)=\ln \left(\frac{25}{8}\right): \quad t=\frac{\ln \left(\frac{25}{8}\right)}{12 \ln \left(\frac{12.0375}{12}\right)}$[/tex]
[tex]$t=\frac{\ln \left(\frac{25}{8}\right)}{12 \ln \left(\frac{12.0375}{12}\right)}$$[/tex]
simplifying the above value of t, we get
t = 30.43236.
If the equation be [tex]$300000=\frac{300\left(1+\frac{0.0375}{12}\right)^{(12 t)}}{\left(\frac{0.0375}{12}\right)}$$[/tex]then the value of t = 30.43236.
Therefore, the value of t = 30.43236.
To learn more about exponent rules refer to:
https://brainly.com/question/11975096
#SPJ13
In the problems below, copy the problems and the picture, mark the givens, and prove the statements.
Answer:
Step-by-step explanation:
Givens
OF = RF
OU = UR
Draw a line from U to F
UF = UF Reflexive property.
Solution
ΔOUF = ΔRUF SSS
<O = < R Congruent parts are congruent when the triangles are congruent.
PLEASE HELP ME IT WOULD MAKE MY MONTH!!! ILYSM
How many pounds of apples will he get if he goes to David’s orchard?
Answer:
David's orchid: 20 +x
Pam's orchid: 25 + 0.75x
Step-by-step explanation:
Framing linear equations:
David's apple orchid:Cost of first 10 pounds = 10 * 2 = $ 20
Let the weight of additional apples picked = x pounds
Cost of 'x' pounds = 1 * x = $ x
Total cost = cost of first 10 pounds + cost of additional 'x' pounds
= 20 + x
Pam's orchid:Entry fee = $ 10
Cost of first 10 pounds = 10 * 1.50 = $ 15
Cost of 'x' pounds = 0.75*x = 0.75x
Total cost = Entry fee + cost of first 10 pounds + cost of additional 'x' pounds
= 10 + 15 + 0.75x
= 25 + 0.75x
I have no idea what I’m doing And could use help! Anyone who takes time out of their day to help I appreciate you!!
Answer: It is impossible for two obtuse angles to be a straight angle
Step-by-step explanation:
Definition of a straight angle: An angle that is exactly 180 degrees
Definition of obtuse angle: An angle that is more than 90 degrees
1) X = obtuse angle
x > 90
Set minimum to test:
x = 91
2) Set up the question
(<= less than or equal to)
2x <= 180
3) Sub the first equation
2(91) <= 180
182 <= 180
4) Answer the question
It is impossible for two obtuse angles to be a straight angle
the head of institutional research at a university believed that the mean age of full-time students was declining. in 1995, the mean age of a full-time student was known to be 27.4 years. after looking at the enrollment records of all 4934 full-time students in the current semester, he found that the mean age was 27.1 years, with a standard deviation of 7.3 years. he conducted a hypothesis of : 27.4 years versus : 27.4 years and obtained a p-value of 0.0020. he concluded that the mean age of full-time students did decline. is there anything wrong with his research?
No, there is nothing wrong in the research that is done by the head of the institution. He said correct that the mean age of the full time students has declined.
Given above that a university's director of institutional research thought that the average age of full-time students was lowering. The average age of a full-time student in 1995 was 27.4 years old.
He registered all 4934 pupils for this and the average age was 27.1 years.
The fact that the inquiry concerns the average age of a full-time student makes this situation ideal. This is a trustworthy approach when the mean is calculated after accounting for all full-time students at the university.
Given that this is a left-tailed test, the hypothesis is also correct.
He rejected the null hypothesis because p = 0.0020.05.
The average age did decrease, in conclusion. The situation is ideal.
Therefore his hypothesis is absolutely correct. There is nothing wrong with it.
To learn more about mean click here:
https://brainly.com/question/15323584
#SPJ4
Add parentheses to make true3 + 4 × 2 = 1472 ÷ 12 - 6 = 12
We want to find where to put the parentheses on each expression to make the expression true.
First, we identify the symbols +, x, / and - to identify the pairs of numbers. For example, in the expression
[tex]3+4\cdot2[/tex]we have two symbols (+, *).
Now, this would give us two pairs of expression where we can put the parentheses. That is, one possibility per symbol. So we have
[tex](3+4)[/tex]and
[tex](4\cdot2)[/tex]Now, let us try the first choice. Remember that first we have to evaluate what is inside the parentheses. This would give us
[tex](3+4)\cdot2=7\cdot2=14[/tex]which coincides to the value we wanted.
In the second case, we have the following symbols / and -
This would give us two pairs for grouping, namely
[tex](72/12)[/tex]and
[tex](12\text{ -6)}[/tex]as before, we will first evaluet the first option
[tex](\frac{72}{12})\text{ - 6=6 -6 =0}[/tex]If we try the second option, we woud get
[tex]\frac{72}{(12\text{ -6)}}=\frac{72}{6}=12[/tex]which would give us the correct value.
Hurry Pls) Enter the rational number as
a/b where a and b are integers.
7 1/3
(Note: this isn't my work, it's my siblings and I have no idea how to answer it.)
The rational number of 7¹/₃ as; a/b where a and b are integers.
How to convert a rational number?A rational number is defined as any number that can be written as a fraction, where both the numerator (the top number) and the denominator (the bottom number) are integers, and the denominator is not equal to zero
Now, we are given the fraction as; 7¹/₃
This given number is expressed as a mixed fraction and so we convert it to improper fraction to get; 22/7
Read more about Rational Number at; https://brainly.com/question/20400557
#SPJ1
One card is drawn from a standard deck of 52 cards. Find the probability of drawing the following. an eight or a diamond
The probability of a simple event to occur is this:
[tex]P(x)=\frac{\text{total number of favorable outcomes}}{\text{total }number\text{ of possible outcomes}}[/tex]In the question given, the favorable outcomes are either 8 or diamond.
In a deck of cards, there are 13 diamond cards and 4 eights however one of the diamond cards is also 8. Therefore, total favorable outcome is 13 + 4 - 1 = 16.
Of course, the total number of possible outcomes is 52. So, the probability of getting an eight or a diamond is:
[tex]p(x)=\frac{16}{52}=\frac{4}{13}\approx0.3077[/tex]The probability, in fraction, is 4/13.
In decimal form, it is 0.3077.
In percentage form, it is 30.77%
Consider the chart of millionaires and population
The number of millionaires Los Angeles should have will be equal to 5,065 millionaires.
Proportion may be defined as part or share of a complete unit compared with respect to the whole unit. A proportion is basically the equality of ratios. Two different ratios can be treated as equals if they are in proportion to each other. Now, the number of millionaires in Los Angeles will be equal to the Proportion of Millionaires in Dubai multiplied by the Population of Los Angeles that is
= 0.00124 × 4,085,014
= 5,065 millionaires
The Data and Calculations will be given as:
City Millionaires Population Proportion
Los Angeles 11,560 4,085,014 0.00283 (11,560/4,085,014)
Casablanca 6,900 3,752,357 0.00184 (6,900/3,752,357)
Berlin 6,750 3,562,038 0.00189 (6,750/3,52,038)
Dubai 3,570 2,878,344 0.00124 (3,570/2,878,344)
Learn more about proportion at:
brainly.com/question/11870497
#SPJ9
Complete Question:
City Millionaires Population
Los Angeles 11,560 4,085,014
Casablanca 6,900 3,752,357
Berlin
6,750
3,562,038
Dubai
3,570
2,878,344
Consider the chart of Millionaires and Population. If Los Angeles were
proportional to Dubai with respect to population, how many millionaires
should we expect Los Angeles to have? Round your answer to a whole number.
Which method can't you use to solve this problem? x^2 + 7x =0
A) Factoring
B) Square roots
C) Quadratic formula
Using the graph, determine the coordinates of the x-intercepts of the parabola.
Answer:
2 points
Step-by-step explanation:
According to the graph, the parabola has two x-intercept, where is (0,-2) and (0,-8).
X-intercept
Find f(-2)
Find x for f(x)=2
By using the graph we can see:
x-intercept: x = 0.f(-2) = 4f(x) = 2 for x = -1.3How to find the requested values?First, we want to find the value of x such that the graph touches (intercepts) the x-axis.
On the graph, we can see that it intercepts the x-axis at x = 0, so that is the x-intercept.
Now we want to find f(-2), this is the value of the function when x = -2, to find that we first need to find x = -2 in the horizontal axis.
f(-2) = 4
Now we want to find the value of x such that:
f(x) = 2
so now we need to find 2 in the vertical axis. we can see that the function is equal to 2 for x = -1.3 (approximation).
Learn more about functions:
https://brainly.com/question/1719822
#SPJ1
Solve using augmented matrices.
x+y=1
3x-y=7
The solution to the system of equation {x + y = 1, 3x - y = 7 } using augmented matrices is ( 2,-1 ).
What is the solution to the system of equation using augmented matrices?Given the system of equation in the question;
x + y = 1
3x - y = 7
First, we write the system of equation in matrix form.
[tex]\left[\begin{array}{ccc}1&1&1\\3&-1&7\\\end{array}\right][/tex]
Next, we find the reduced row echelon form
Row operation R₂ = R₂ - 3R₁ to make the entry at 2, 1 a 0.
[tex]\left[\begin{array}{ccc}1&1&1\\3-3*1&-1-3*1&7-3*1\\\end{array}\right] \\\\\left[\begin{array}{ccc}1&1&1\\0&-1\4&4\\\end{array}\right][/tex]
Next, multiply each element of R₂ by -1/4 to make the entry at 2, 2 a 1.
[tex]\left[\begin{array}{ccc}1&1&1\\-\frac{1}{4}*0 &-\frac{1}{4}*-4 &-\frac{1}{4}*4 \\\end{array}\right] \\\\\left[\begin{array}{ccc}1&1&1\\0&1&-1\\\end{array}\right][/tex]
Now, perform the operation, R₁ = R₁ - R₂, to make the entry at 1,2 a 0.
[tex]\left[\begin{array}{ccc}1-0&1-1&1+1\\0&1&-1\\\end{array}\right] \\\\\left[\begin{array}{ccc}1&0&2\\0&1&-1\\\end{array}\right][/tex]
Using the result from the matrix, x = 2 and y = -1.
Learn more about augmented matrices here: https://brainly.com/question/26320234
#SPJ1
Determine the minimum sample size required when you want to be % confident that the sample mean is within one unit of the population mean and. Assume the population is normally distributed.
The minimum sample size of the given condition is 89.
In given condition,
For 95% confidence level, critical value of z is z* = 1.96
The margin of error given is E = 1
Standard deviation ( α ) = 4.8
Final required sample size is;
n = [tex](\frac{z*\alpha }{E} )^{2}[/tex]
= [tex](\frac{1.96 * 4.8}{1} )^2[/tex]
= 88.51
n ≅ 89
The minimum sample size of the given condition is 89.
To learn more about sample sizeclick here:
https://brainly.com/question/14275339
#SPJ4
PLEASE HELP QUICK. NOW NEEDED
pls tell me u understand the drawing
the group u(49) is cyclic. using only the sage commands described previously, use sage to find a generator for this group. now using only theorems about the structure of cyclic groups, describe each of the subgroups of u(49) by specifying its order and by giving an explicit generator. do not repeat any of the subgroups — in other words, present each subgroup exactly once
then the generator is the element which can generate whole set
therefore U(49) has 12 generator
What is meant by cyclic group?
A cyclic group is a group that can be generated by a single element. (the group generator). Cyclic groups are Abelian.
the group u(49) is cyclic. using only the sage commands described previously, use sage to find a generator for this group.
elements of U(49) are {1,2,3,5,,7,11,,13,17,19,23,29,31,37,39,,41,47}
then the generator is the element which can generate whole set
therefore U(49) has 12 generator
learn more about of cyclic group here
https://brainly.com/question/13391362
#SPJ4
A cylinder with radius r and height h is inscribed in a cone with radius of 4m and height of 10m. Express the volume V of the cylinder as a function of h.
The volume of the cylinder is 502.4m³
Volume of the cylinder:
Volume of the cylinder can be calculated by the product of the area of base and height.
For any cylinder with base radius ‘r’, and height ‘h’, the volume will be base times the height.
V = πr²h cubic units.
Given,
A cylinder with radius r and height h is inscribed in a cone with radius of 4m and height of 10m.
Here we need to find the volume of the cylinder,
We know that the values of,
Radius = 4m
height = 10m.
Now we have to apply the value on the formula, then we get,
V = π x (4)² x 10
Apply the value of π as 3.14 then we get,
V = 3.14 x 16 x 10
V = 502.4
Therefore, the volume of the cylinder is 502.4 m³.
To know more about Volume of the cylinder here
https://brainly.com/question/16134180
#SPJ1
The diameter of a basketball rim is 18 inches. What is the circumference of the rim? Write your answer using pi. Show your work.
Answer:
18 pi
Step-by-step explanation:
2xpixr d divided by 2 equals 9 pi x 2 x 9 =18
Factor by Grouping.. I know there is no common GCF but i don't know how to continue!
xy^2 − 3xy − 6y + 18
Answer:
(xy-6)(y-3)
Step-by-step explanation:
i don't know if you needed this, but if you need this i can explain step by step
xy(y-3)-6(y-3). we take the common ones out and than simplify as:. (xy-6)(y-3)
-4(w + 5) + 5w simplify use distributive property
Answer:
w - 20
Step-by-step explanation:
Simplifying the expression:Remove the parenthesis by multiplying each term of (w + 5) by (-4)
-4(w + 5) + 5w = -4*w + 5*(-4) + 5w
= -4w - 20 + 5w
= -4w + 5w - 20
Combine like terms. Like terms have same variable with same power.
= w - 20
According to the Empirical Rule, what percent of values in a normal distribution will fall between 1 standard deviations above the mean and 3 standard deviations above the mean?
According to the Empirical Rule, 99.7% percent of values in a normal distribution will fall between 1 standard deviations above the mean and 3 standard deviations above the mean.
What is the Empirical Rule?The Empirical Rule is also referred to as the 68-95-99.7 rule and it can be defined as a statistical rule which states that:
The middle 68% of a normal distribution would be within one (1) standard deviation of its mean.The middle 95% of a normal distribution would be within two (2) standard deviations of its mean.The middle 99.7% of a normal distribution would be within three (3) standard deviations of its mean.In this context, we can reasonably infer and logically deduce that 99.7% of a normal distribution would fall within three (3) standard deviations of its mean in accordance with the Empirical Rule.
Read more on Empirical Rule here: brainly.com/question/10093236
#SPJ1
The current population of a city is about 2,130,000 people, and it's increasing at a rate of 10 percent per year. Arrange the steps in the correct order to
show how to determine the population of the city in five years.
The population of the city in 5 years is 3430386 as the population is increasing 10% per year
What is percentage and how to calculate?
Percentage is the ratio which can be expressed as fraction of 100. And to calculate percentage we multiply by 100.
We are given that population of a city is 2130000
And the population is increasing at a rate of 10%
We are asked to find the population after 5 years
The equation can be given as (1.1)^x*2130000
We put x =5
We get
[tex](1.1)^5*2130000\\1.61051*2130000\\=3430386[/tex]
Hence the population will be 3430386 after 5 years at a rate of 10% increase per year
https://brainly.com/question/12940982
#SPJ13
Need help! Finding Missing Angles !
Step-by-step explanation:
Since right angles are 90°
11 = 90°
12 = 90°
13 = 90°
Carlos sold half of his comic books then bought 14 more. He now has 33 comics books. How many did he start with?
Answer: Carlos started with 38 comic books.
Step-by-step explanation:
33 - 14 = 19
19 x 2 = 38
please answer the question below the top question. on both.
The value of x is 6 degrees.
It is given in the question that:-
HI is parallel to JK and FG is the transversal intersecting HI at L and JK at M.
∠LMK = 115 degrees
∠MLI = (8x + 17) degrees
We have to find the value of x.
We know that,
Angles on the same side of the transversal sum up to 180 degrees.
Hence, we can write,
∠LMK + ∠MLI = 180 degrees.
115 + (8x + 17) = 180 degrees
8x + 132 = 180 degrees
8x = 180 - 132
8x = 48 degrees
x = 48/8 degrees
x = 6 degrees
To learn more about Angles, here:-
https://brainly.com/question/28451077
#SPJ1