All solutions are larger than 9
=========================================
Explanation:
Divide both sides by 2 and we get
2w > 18
2w/2 > 18/2 .... dividing both sides by 2
w > 9
Any number larger than 9 can replace w, and we'll get a true statement.
For instance, if we tried w = 12, then,
2w > 18
2*12 > 18
24 > 18
Which is true since 24 is indeed larger than 18.
On the flip side, if we tried w = 5, then,
2w > 18
2*5 > 18
10 > 18
which is not true because 10 is actually smaller than 18.
-------------------------
So again, the inequality 2w > 18 solves to w > 9
This shows all solutions are larger than 9.
If we can only pick values from the set {9,5,12,11}, then the solutions are 11 and 12 since they are larger than 9.
Which expression is equivalent to (6x + 12)?
Answer:
2(3x + 6)
Step-by-step explanation:
Choose the word or phrase that correctly completes the sentence.
Andrew wrapped his
sisters
sisteres'
sisters'
sister's
I don't know this yet.
present.
Answer:
answer is sister's.
Step-by-step explanation:
sisters mean more than one sister.
sisterses isn't a word.
sisters' also isn't a word.
sister's is a word and it means that she has possession of something or that she owns something.
Please help me with my acellus
Answer: x = 32°
Step-by-step explanation:
(3x - 4) + (3x - 8) = 180
3x - 4 + 3x - 8 = 180
6x - 12 = 180
6x - 12 + 12 = 180 + 12
6x = 192
6x ÷ 6 = 192 ÷6
x = 32
find the value of each variable and the measure of each angle
Answer:
Left angle = 60°
Top angle = 120°
Right angle = 60°
Step-by-step explanation:
Use what you know about angle relationships to set up equations you can solve for each variable.
The top top angle, for example, added to one of the other angles must equal 180° because they are supplementary.
You have two variables, so you need at least two equations (I made three but only used two).
The work is in my attachment, comment of you have questions.
A caterer charges 5500 plus 530 per guest to cater a wedding. Walt and Traci don't want to spend more than $8000 on catering Write
and solve an inequality in terms of the number ofguests, 9 that can be invited.
Answer:
x = 250
Step-by-step explanation:
log base 1.2 of 1.728
Answer:
3
Step-by-step explanation:
Log is the inverse of exponentiation
\(y = \log_{a}x == > x = y^a\\\)
here a = 1.2 and x = 1.728
So
\(1.2^a = 1,728\\\\a = 3\; \textrm{because }\;1.2^3 = 1.728\\\\\textrm{So}\\\\log_{1.2}(1.728) = 3\)
83 devided by 3, with remainders
Answer:
just see how many times 3 goes into 80 which is 26. so then that leaves you with 5 and 3 goes into 5 only 1 time so the answer is 26 and 2
TRUE/FALSE. when we conduct time series forecasting it is safest to utilize regression analysis, because then we will not be extrapolating.
When we conduct time series forecasting it is safest to utilize regression analysis, because then we will not be extrapolating the above statement is False.
Regression analysis is a group of analytical techniques used to measure the relationships between a dependent variable and one or more independent variables. It may be used to simulate the long-term link between variables and gauge how strongly the relationships between them are related.
Models that evaluate the connection between a dependent variable and an independent variable include simple linear regression. The following equation represents the simple linear model:
Y = a + bX + ϵ
Regression analysis is the most secure method for time series forecasting since it involves extrapolation.
For more such question on regression analysis.
https://brainly.com/question/7781679
#SPJ4
Find the final amount of money in an account if
$5,500 is deposited at 3.5% interest compounded weekly and the money is left for
9 years.
Step-by-step explanation:
Decimal interest per period ( weekly....52 weeks in a year) = i=.035/52
Periods = 9 years * 52 weeks = n = 468 periods
Principal = deposit = $ 5500
FV = future value = principal ( 1 + i)^n = 5500 (1 + .035/52)^468 = $ 7535.63
Question #3
Determine if the following scenario is best described as an observational study, survey, or experiment.
A researcher wants to determine the effects of eating a vegan diet on overall health. The researcher finds 200 individuals, where
of them have eaten vegan for the past five years and the other 100 have not eaten vegan for the past five years. The participants
each given a health assessment and the data is analyzed in order to draw conclusions about how eating vegan can affect one's
overall health.
Experimental Study
Observational study
Saved Survey
The type of sytudy that we have here is the observational study.
What is the observational study?
In an observational study, the researcher observes and analyzes data from individuals without actively intervening or manipulating any variables.
In this case, the researcher is observing and comparing the health outcomes of two groups of individuals: those who have eaten a vegan diet for the past five years and those who have not.
The participants are not randomly assigned to the groups, and the researcher does not actively control or manipulate the diet of the individuals.
Read more on observational study here:https://brainly.com/question/4758113
#SPJ1
Consider a tree T with n vertices, where n is an odd integer greater than or equal to 3. Let v be a vertex of T. Prove that there exists a vertex u in T such that the distance between u and v is at most (n-1)/2
There must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.
To prove the existence of a vertex u in tree T such that the distance between u and v is at most (n-1)/2, we can employ a contradiction argument. Assume that such a vertex u does not exist.
Since the number of vertices in T is odd, there must be at least one path from v to another vertex w such that the distance between v and w is greater than (n-1)/2.
Denote this path as P. Let x be the vertex on path P that is closest to v.
By assumption, the distance from x to v is greater than (n-1)/2. However, the remaining vertices on path P, excluding x, must have distances at least (n+1)/2 from v.
Therefore, the total number of vertices in T would be at least n + (n+1)/2 > n, which is a contradiction.
Hence, there must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.
For more such questions on vertex
https://brainly.com/question/25651698
#SPJ8
Answer please
And with steps
Answer:
angle 7 is 115°
Step-by-step explanation:
angle 1 is Alternative Exterior Angles, that means they are exactly the same.
What is the surface area of a rectangular prism that has a length of 4 cm, a height of 14 cm, and a width of 15 cm?
Answer:
the surface area of the rectangular prism is 572cm².
Step-by-step explanation:
The surface area of a rectangular prism can be calculated using the formula 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height. Plugging in the values you provided, we get:
2 * 4cm * 15cm + 2 * 4cm * 14cm + 2 * 15cm * 14cm = 572 cm²
So the surface area of the rectangular prism is 572 square centimeters.
INVESTMENT A poor investment is expected to decrease in value by 5% every year.
The expected rate of return for a poor investment is the expected return minus the expected loss. the expected return on the investment would be $20.
Step 1: Determine the investment amount. Let's assume the investment amount is $1,000.Step 2: Calculate the expected rate of return. To calculate the expected rate of return, you need to take the estimated return on the investment and subtract the amount of risk associated with the investment. For example, if the investment has a 5% expected return and a 3% risk, the expected rate of return would be 2%. Therefore, the expected rate of return for a poor investment of $1,000 would be 2%.Step 3: Multiply the expected rate of return by the investment amount. To calculate the expected return on the investment, multiply the expected rate of return (2%) by the investment amount ($1,000). Therefore, the expected return on the investment would be $20.
Learn more about investment here:
https://brainly.com/question/12034462
#SPJ1
What is the expected rate of return for a poor investment?
What are the foci of the graph x^2/40-y^2/81=1
Answer:
Step-by-step explanation:
(y^2)/1600-(x^2)/81=1. y21600−x281=1 y 2 1600 - x 2
Answer: y21600x281=1 y 2 1600 - x 2
Step-by-step explanation: for sure chfjjgffjfj ;)
Find the value of x in each triangle.
Answer:
x = 36
Step-by-step explanation:
1. It's important to know that the sum (in degrees) of all angles in a triangle is 180°.
This means that 2x + 2x + x = 180.2. (Solving)
Step 1: Simplify both sides of the equation.
\((2x+2x+x)=180\) \(5x = 180\)Step 2: Divide both sides by 5.
\(\frac{5x}{5}=\frac{180}{5}\) \(x = 36\)Step 3: Check if solution is correct.
\(2(36)+2(36)+36=180\) \(72+72+36=180\) \(180=180\)Therefore, the answer is 36.
Guys what is 437x15=_____
Please Help, I Dont like Math
Thanks you guys have a good day!
Answer:
6555
Step-by-step explanation:
Again you can you Distributive property to answer this question here is how-To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
Answer:
6555
Step-by-step explanation:
Part 1 of 2
Evaluate the function f(x)=x-7 at the given value of the variable.
a. f(13)
b. f(3)
Answer:
a)
b)-4
Step-by-step explanation:
a) f(13) = 13-7=
b) f(3)= 3-7= -4
A wolf can run 110 m in 6.3 seconds. A Tiger can run 85 m in 4.2 seconds. Comparetheir unit speeds to determine which animal is faster. Round to the nearest wholeunit.Wolf speed?Tiger speed?Which one is faster?
Step 1. Speed of the wolf.
The wolf can run 110m in 6.3s, to calculate the unit steep, we need to make the division between the meters and the seconds:
\(\frac{110m}{6.3s}\)The result of this division is:
\(\frac{110m}{6.3s}=17.46\text{ m/s}\)Rounding to the nearest whole unit:
\(Wolf\text{ sp}eed\longrightarrow\text{ 17m/s}\)Step 2. Steep of the tiger.
The tiger can run 85m in 4.2s, again we divide the meters and the seconds to find the unit speed:
\(\frac{85m}{4.2s}=21.25\text{ m/s}\)Rounding to the nearest whole unit:
\(\text{Tiger spe}ed\longrightarrow21\text{ m/s}\)Step 3. Which one is faster?
Since the unit speed of the tiger is larger, 21m/s vs. 17m/s, the tiger is faster.
Answer:
Wolf speed? 17m/s
Tiger speed? 21m/s
Which one is faster? Tiger
I need help with this
The statement that is equivalent to |6x-3|=3 is: 6x-3=3 or 6x-3=-3
For the equation to be true, two scenarios need to be considered:
When the expression 6x-3 is positive and equals 3:
6x-3 = 3
When the expression 6x-3 is negative and equals -3:
6x-3 = -3
By solving these two equations, we can find the equivalent statement:
Solving 6x-3 = 3:
Adding 3 to both sides gives us:
6x = 6
Dividing both sides by 6:
x = 1
Solving 6x-3 = -3:
Adding 3 to both sides gives us:
6x = 0
Dividing both sides by 6:
x = 0
Therefore, the equivalent statement to |6x-3|=3 is:
6x-3=3 or 6x-3=-3, which can be further simplified to:
6x-3=3 or 6x-3=-3
Learn more about inequalities here:
https://brainly.com/question/30231190
#SPJ1
Identify 2 congruent angles
Look at picture for reference
In the quadrilateral ACDE, we can identify two congruent angles: angle CDA and angle C'EA.
In the given diagram, we have ACDE as a quadrilateral, and we know that CD is congruent to CE. To identify two congruent angles, let's examine the properties of the quadrilateral.
Since ACDE is not specified to be a particular type of quadrilateral (such as a parallelogram or rectangle), we cannot directly infer congruent angles from its properties.
However, we can make use of some general properties of quadrilaterals to identify two congruent angles. One property is that the sum of the interior angles of a quadrilateral is always 360 degrees.
Let's consider angle C as one of the angles in ACDE. Since CD is congruent to CE, we can denote angle CDE as angle C' to represent the congruent angles.
Now, using the property that the sum of the interior angles of a quadrilateral is 360 degrees, we can express the relationship between the angles of ACDE as:
∠ACD + ∠CDE + ∠DEA + ∠EAC = 360 degrees
Since CD is congruent to CE, angles CDA and CEA are also congruent (opposite angles in a quadrilateral). So, we can rewrite the equation as:
∠ACD + ∠CDA + ∠C'EA + ∠EAC = 360 degrees
Since we want to identify two congruent angles, let's focus on angles CDA and C'EA. These two angles are formed by the intersection of the congruent sides CD and CE with different adjacent sides.
Therefore, we can conclude that angles CDA and C'EA are congruent in ACDE.
In summary, in the quadrilateral ACDE, we can identify two congruent angles: angle CDA and angle C'EA.
for more such question on angles visit
https://brainly.com/question/25716982
#SPJ8
An angle with an initial ray pointing in the 3-o'clock direction measures θ radians (where 0≤θ<2π). The circle's radius is 3 units long and the terminal point is located at (−2.69,−1.33)
a. The terminal point is how many radius lengths to the right of the circle's vertical diameter. H=____ radians
B.When we evaluate cos−1(h) using a calculator or computer, the value returned is
____ radians
c.Therefore, θ=
a) The terminal point is 0.896 radius length.
b) The value returned is -0.896.
We have,
The circle's radius is 3 units long and the terminal point is located at (−2.69,−1.33)
a. Since the circle's radius is 3 units long, we divide the x-coordinate by 3:
x-coordinate of terminal point: -2.69
Number of radius lengths to the right: -2.69 / 3 ≈ -0.896
However, since the angle is measured from the 3-o'clock direction, we consider it to be in the clockwise direction.
Thus, the number of radius lengths to the right is
Number of radius lengths to the right: -(-0.896) = 0.896
Therefore, the terminal point is 0.896 radius length.
b. Using Trigonometry
cos(h) = x-coordinate of terminal point / radius length
cos(h) = -2.69 / 3 ≈ -0.896
c. As, θ = h. From the given information, we have:
θ ≈ -0.896 radians
Learn more about terminal point here:
https://brainly.com/question/28977111
#SPJ1
Give the five number summary. A student servey asked, how tall are you ( in inches)?" here's the data: 64, 72, 73, 60, 65, 86, 72, 69, 74
Answer:
Step-by-step explanation:
The five number summary will be the mean, median, interquartile range, minimum value and the maximum value.
Mean is the average of the data. It is the sum total of the numbers divided by the total number.
Mean = 64+72+73+60+65+86+72+69+74/9
Mean = 635/9
Mean = 70.6inches
Median is the middle value after rearrangement. Re-arrangement can be either in ascending or descending order of magnitude.
On re-aaranging
60, 64, 65, 69), 72, (72, 73, 74, 86
It can be seen that the number at the middle is 72, hence the median data is 72inches
Maximum value is the highest number in the data given. The highest number is 86 according to the data.
Minimum value is the lowest number in the data given. The lowest number is 60 according to the data.
Interquartile range is the difference between the upper quartile sand the lower quartile. Quartiles divides the data into four equal parts
IQR = Q3-Q1
Q3 is the upper quartile
Q1 is the lower quartile
Q1 is the median of the upper part of the dataset i.e 86, 72, 69, 74
Q1 = 72+69/2
Q1 = 70.5
Q1 is the median of the lower part of the dataset i.e 64, 72, 73, 60
Q3 = 72+73/2
Q3 = 72.5
IQR = 72.5-70.5
IQR = 2.0
Hence the five numbers are 70.6, 72, 86, 60 and 2.0
What is the explicit formula for this sequence?
-16, -19, -22, -25,...
A. an= (-3) + (n − 1)(-16)
OB. an= (-28) + (n − 1)(-3)
OC. an= (-16) + (n − 1)3
OD. an= (-16)+(n-1)(-3)
SUBMIT
Answer:
D
Step-by-step explanation:
the sequence has a common difference between consecutive terms, that is
- 19 - (- 16) = - 19 + 16 = - 3
- 22 - (- 19) = - 22 + 19 = - 3
- 25 - (- 22) = - 25 + 22 = - 3
this indicates the sequence is arithmetic with explicit formula
\(a_{n}\) = a₁ + (n - 1)d
here a₁ = - 16 and d = - 3 , then
\(a_{n}\) = - 16 + (n - 1)(- 3)
Answer:
D. aₙ = (-16) + (n - 1)(-3)
Step-by-step explanation:
An explicit formula for a sequence allows you to find the nth term of the sequence.
The given sequence is arithmetic as it has a common difference of -3 between terms. Each term is 3 less than the previous term:
\(a_1=-16\)
\(a_2=a_1-3=-16 - 3 = -19\)
\(a_3=a_2-3=-19 - 3 = -22\)
\(a_4=a_3-3=-22 - 3 = -25\)
The general formula to find the nth term (aₙ) of an arithmetic sequence is:
\(\boxed{\begin{minipage}{8 cm}\underline{General form of an arithmetic sequence}\\\\$a_n=a+(n-1)d$\\\\where:\\\phantom{ww}$\bullet$ $a_n$ is the nth term. \\ \phantom{ww}$\bullet$ $a$ is the first term.\\\phantom{ww}$\bullet$ $d$ is the common difference between terms.\\\phantom{ww}$\bullet$ $n$ is the position of the term.\\\end{minipage}}\)
Substitute a = -16 and d = -3 into the formula:
\(a_n=(-16)+(n-1)(-3)\)
Therefore, the matching answer option is option D.
The triangle and the rectangle have the same area.
All lengths are in cm.
7x + 2
a Form an equation in x.
b Solve your equation to find x.
c Work out the area of the shapes.
1
2x + 7
The length of one side of the equilateral triangle in terms of x is 6x.
To find the length of one side of the equilateral triangle in terms of x, we need to consider the perimeter of both the rectangle and the equilateral triangle.
The perimeter of a rectangle is given by the formula:
Perimeter of rectangle = 2(length + width)
In this case, the length of the rectangle is 7x cm, and the width is 2x cm. Substituting these values into the formula, we have:
Perimeter of rectangle = 2(7x + 2x) = 2(9x) = 18x
We are told that the equilateral triangle has the same perimeter as the rectangle.
Since an equilateral triangle has all sides equal, the perimeter can be calculated by multiplying the length of one side by 3.
Therefore, we have:
Perimeter of equilateral triangle = 3(side length)
Since the perimeter of the equilateral triangle is equal to the perimeter of the rectangle (18x), we can set up the equation:
3(side length) = 18x
Dividing both sides of the equation by 3, we get:
side length = 6x
Hence, the length of one side of the equilateral triangle in terms of x is 6x.
For similar question on equilateral triangle.
https://brainly.com/question/28063031
#SPJ8
The complete question may be like: A rectangle measures 2x cm by 7x cm. An equilateral triangle has the same perimeter as the rectangle. What is the length of one side of the triangle in terms of x?
What is the difference between 234 and 250
Hey there!
If you ever come across the word “difference” in mathematics (or math) it usual means “SUBTRACT” (or SUBTRACTION) so basically you’re going to SUBTRACT 234 from 250
Equation:
234 - 250 = -16
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Sammy wants to spend no more than $35 at the arcade. If he is playing games at the arcade that each cost $0.75, which inequality can be used to find g, the number of games that Sammy can play and stay within his goal
Answer:
0.75 g ≤ 35
Step-by-step explanation:
if each games costs $0.75, then the answer of g will be given by 35/0.75.
he can go up to exactly $35 but not over
so, the inequality is given by 0.75 g ≤ 35
Solve the system of inequalities by graphing.
y < 6
y > x + 3
The solution to the inequalities, y < 6 and y > x + 3 is the common intersecting region.
What are inequalities and it's types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Given, y < 6.
Now, To determine wether it inclues the origin or not we'll set, y = 0.
So, 0 < 6 is true so y < 6 includes the origin.
Now, y > x + 3.
0 > 0 + 4 is not true therefore, y > x + 3 doest not inclue the origin.
The solution to these now can be determine by the common intersecting region.
learn more about inequalities here :
https://brainly.com/question/30228778
#SPJ9
Rationalize the denominator of expression
........................................
(05.06A)Angle ABC is formed by segments AB and BC on the coordinate grid below:
Which statement shows the measure of angle A′B′C′?
A. m∠A′B′C′ = 90 degrees
B. m∠A′B′C′ = 180 degrees
C. m∠A′B′C′ = m∠ABC
D. m∠A′B′C′ = 2 × m∠ABC
Answer:
(C) m∠A′B′C′ = m∠ABC
Step-by-step explanation:
Regardless of what translation or transformation you do to this shape, the angles will always stay the same.
Answer:
Give the other guy who answer brainlyist he is poggers.
Step-by-step explanation: