For example, if S={1, 2, 3, 4, 5, 6, 7} and T={1, 2, 3, 4, 5, 6}, then x=6>5=y, but if S={1, 2, 3, 4, 5, 6, 7} and T={1, 2, 3, 4, 5, 7}, then x=6=y. not sufficient.
What is values?Values are ideals or beliefs that a group or an individual hold and are essential for determining what is desirable or undesirable to them. Values can also be seen as overall conceptions people hold toward the world and aligns their behavior, motivation, perceptions, and personality. Values establish a framework through which people can compare what is most important and, in most cases, forms the basis for making choices. People interact with the world based on their values, which vary from person to person.An individual can value integrity, while another will value loyalty, and these values are shaped by a person's past experiences or cultural background. Notably, an individual can have several sets of values, but the degree to which the person can value these things can vary. A good example is someone who values family and wealth. There could be situations whereby such an individual can be faced with choosing between family and wealth, and it is very normal to sacrifice one over the other.To learn more about values refer to:
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Complete question is: If the ranges of values = 40 and the number of sets = 10 , then what will be the length of set ?
The function f(x) = x² +1 has a minimum at what coordinate point (x, f(x))? See the graph below.
Answer:
(0,1)
Step-by-step explanation:
On a certain hot summer day, 431 people used the public swimming pool. The daily prices are 1.50 for children and 2.00 for adults. The receipts for admission totaled to $788.50. How many children and how many adults swam at the public pool that day?
The number of adults at the public pool that day is 284 and the number of children is 147.
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Linear equations may include one or more variables.
Let x be the number of adults and y be the number of children who used the swimming pool.
Total number of people used the swimming pool = 431
x + y = 431
Daily price for adults = $2.00
Daily price for children = $1.50
Total amount for admission = $788.50
2x + 1.5y = 788.5
We got two linear equations here :
x + y = 431 and 2x + 1.5y = 788.5
x + y = 431 ⇒ x = 431 - y
Substituting this in second equation,
2(431 - y) + 1.5y = 788.5
862 - 2y + 1.5y = 788.5
-0.5y = -73.5
y = 147
x = 431 - 147 = 284
Hence the number of adults is 284 and the number of children is 147.
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1. Find the measure of such angle whose supplementary angle is 35° more than twice of its complementary angle.
Answer: The measure of the angle is 35, the measure of its supplement is 145, and the measure of its complement is 55
Tori bought one share of Macy's stock on Nov 1, 2016 for $33. 38. Four years later, she sold it and the closing price for that day was $5. 9. A) How much money did she gain/lose with this stock? b) What is her rate of return?
(a) He made $382.05. This was the amount of money he made from the stock.
(b) The investment yielded a 96.40% return.
How can I find out how much I made and what my investment returned?
The amount of money made is calculated by dividing the price at which the stock was sold by the price at which it was purchased. If this figure is negative, money was lost; if positive, money was made.
Tori lost money when she purchased one share of Macy's stock on November 1, 2016, for $33.38 and then sold it for $5.09 on that same day's closing price.
= $5.09 - $33.38
= -$28.29
Her rate of return will be:
= -28.29/33.38 × 100
= -84.75%
The amount he made with the stock is indicated below taking into account the values of the problem:
778.38 - 396.33 = $382.05.
The return on the investment is given by the amount earned/lost divided by the initial value, and multiplied by 100% to obtain the value as a percentage, hence it is of:
382.05/396.33 x 100% = 96.40%.
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For 1-4, write "yes" or "no" to describe whether or not the line is a good trend line. Explain.
On solving the provided question we can say that - and a lines need only two points to drawn; so, yes we can draw a line
what is a line?A line is an endlessly long object without breadth, depth, or curvature in geometry. Consequently, a line is a one-dimensional entity, while it may also exist in two-, three-, and more-dimensional regions. In common use, a line segment with two points serving as its ends is referred to as a line. A line is a single-dimensional, straight form with no thickness that can go on forever in both directions. To indicate that a line has no "wobble" anywhere along its length, it is frequently referred to as a straight line or an ancient accurate line (Casey 1893)
here we have,
2 points
(1,5) and (4,5)
and a lines need only two points to drawn,
so, yes we can draw a line
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What are the factors of the expression 2x^2 5x 12?
[tex](x- (\frac{-5+71i }{4}))[/tex] and [tex](x- (\frac{-5-71i }{4}))[/tex] are factors of the quadratic expression.
2x^2 + 5x + 12
Consider given quadratic expression.
2x^2 + 5x + 12
Let f(x) = 2x^2 + 5x + 12
Assume f(x) = 0
2x^2 + 5x + 12 = 0
using the Quadratic Formula where
a = 2, b = 5, and c = 12
[tex]x = \frac{-b\pm \sqrt{b^2 - 4ac} }{2a} \\\\\\x = \frac{-5\pm \sqrt{5^2 - 4(2)(12)} }{2\times2} \\\\\\x = \frac{-5\pm \sqrt{25 - 96} }{4} \\\\\\x = \frac{-5\pm \sqrt{-71} }{4}[/tex]
The discriminant b^2 - 4ac < 0.
So, there are two complex roots.
[tex]x = \frac{-5\pm71i }{4}[/tex]
This means, [tex](x- (\frac{-5+71i }{4}))[/tex] and [tex](x- (\frac{-5-71i }{4}))[/tex] are factors.
2x^2 + 5x + 12
= [tex](x- (\frac{-5+71i }{4}))[/tex] × [tex](x- (\frac{-5-71i }{4}))[/tex]
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Machines at a factory produce circular washers with a specified diameter. The quality control manager at the factory periodically tests a random sample of washers to be sure that greater than 90 percent of the washers are produced with the specified diameter. The null hypothesis of the test is that the proportion of all washers produced with the specified diameter is equal to 90 percent. The alternative hypothesis is that the proportion of all washers produced with the specified diameter is greater than 90 percent. Which of the following describes a Type I error that could result from the test
Proportion is the ratio of the two equal fractions. It compares the part of a whole to another part of another whole. Option c is the correct option which is, The test provides convincing evidence the proportion is greater than 90% but the actual proportion is equal to the 90%.
What is proportion?
proportion is the ratio of the two equal fraction. It compare the part of a whole to other part of of the another whole.
Given
Options for the following question are,
A) The test does not provide convincing evidence that the proportion is greater then 90 percent but the actual proportion is greater then 90 percent.
B) The test does not provide convincing evidence the proportion is greater than 90% but the actual proportion is equal to the 90%.
C)The test provides convincing evidence the the proportion is greater than 90% but the actual proportion is equal to the 90%.
D)The test provides convincing evidence that the proportion is greater then 90 percent but the actual proportion is greater then 90 percent.
E) All type 1 error is not possible for this hypothesis test.
The Null Hypothesis for the given question is,
The proportion of all washers produced with the specified diameter is equal to 90 percent. The Null Hypothesis for the given case is true and actual proportion is equal to 90 percent.
Hence, option c is the correct option which is, The test provides convincing evidence tha the proportion is greater than 90% but the actual proportion is equal to the 90%.
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Please help if you can or and know how to do this pls! Can
Answer:
m<1=50
m<2=130
m<3=50
m<4=130
m<5=40
m<6=40
m<7=90
m<8=140
Step-by-step explanation:
What should be added to the product of X and 2 to get x * 1 point?
To get x * 1 point, the product of X and 2 should have x added to it.
let us assume unknown value = y
2x+y=x
y=x-2x
y=-x
so if we add "-x" in the product of x and 2 we get x
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
These expressions are represented with the help of unknown variables, constants and coefficients. The combination of these three (as terms) is said to be an expression. It is to be noted that, unlike the algebraic equation, an algebraic expression has no sides or equal to sign.
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Can someone help me in number 3?
Answer:
1.5 kilograms
Step-by-step explanation:
You need to convert grams to kilograms, this means you must divide the mass value by 1000 to find your answer.
1,500/1,000 = 1.5
Answer:
For 1500 grams in kilogram we get 1.5 kg
Step-by-step explanation:
to convert a gram into a kilogram we have to divide the gram term by 1000
Identify the range of the function shown in the graph.
the range of the function shown in the graph -1 [tex]\leq[/tex] y[tex]\leq[/tex] 1.
What is the sine and cosine graph's range?All real numbers fall within the domain of the sine and cosine functions. Both the sine and cosine functions have a range of [1,1]. An angle's sine and cosine have the same absolute value as their respective reference angles.
What is a cosine graph's range?An illustration of the function's range in the graphs of cos and sine
The cosine function's graph appears as follows: The range of the function y=cos(x) is 1y1, and the domain is all real numbers (cosine is defined for any angle measure).
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Please Help!! Offering 8 points to each answerer and a Brainliest! Please answer the following parts of this question.
(02.05 HC)
The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):
Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)
Part B: Solve for k in each type of transformation. (4 points)
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)
Answer:
Part A: Two types of transformations: translation and reflection.
Part B: g(x)=f(x)+k
-1= -1+ k
k= -1+1=0
g(x)=f(x)+k
-1= 5+k
k= -1-5=-6
g(x)=f(x)+k
14= 14+k
k= 0
k= -6,0,-6,0
Part C: For horizontal translation, g(x)=f(x+2)
In case of vertical translation, g(x)=f(x)+10
Therefore, the equation of transformation can be written as g(x)=f(x+2)+10.
Step-by-step explanation:
I thought. :') Ever since yesterday, and today. Hope this helps!
A coin is tossed, a number cube is rolled, and a letter is picked from the word framer. 10. P(tails, 5, m)
Answer: The function you provided describes an experiment in which a coin is tossed, a number cube is rolled, and a letter is picked from the word "framer". The outcome of the experiment is represented by the ordered triple (tails, 5, m).
P(tails, 5, m) refers to the probability of the outcome (tails, 5, m) occurring. To find this probability, you would need to know the probability of each individual event:
The probability of getting tails is 1/2,
The probability of getting a 5 on a number cube is 1/6
and probability of getting letter "m" in the word "framer" is 1/6
So P(tails, 5, m) = (1/2) * (1/6) * (1/6) = 1/72
It is to be noted that in order for the inverse function to exist, the function must be one-to-one, meaning each y value has one unique x value, meaning the random variables in question should be independent. But in this case the events are dependent on one another.
Step-by-step explanation:
The points (-5, 5) and (5, u) fall on a line with a slope of 3/10 What is the value of u?
Thank you!
Answer:
u = 8
Step-by-step explanation:
calculate the slope of the line passing through the 2 give points using the slope formula, then equate to the given slope.
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 5, 5 ) and (x₂, y₂ ) = (5, u )
m = [tex]\frac{u-5}{5-(-5)}[/tex] = [tex]\frac{u-5}{5+5}[/tex] = [tex]\frac{u-5}{10}[/tex] , then equating the 2 expressions gives
[tex]\frac{u-5}{10}[/tex] = [tex]\frac{3}{10}[/tex] ( cross- multiply )
10(u - 5) = 30 ( divide both sides by 10 )
u - 5 = 3 ( add 5 to both sides )
u = 8
Step-by-step explanation:
(u - 5)/(5 + 5)= 3/10
(u - 5)/10= 3/10
10u - 50 = 30
10u = 80
u = 8
f(x) and g(x) below, find the value of (fog)(-8).
f(x) = 3x²-3x - 8
g(x) = -x - 7
Therefore , the solution of the given problem of function comes out to be fog(-8)= 622.
Function: A DefinitionA function is a relationship between a collection of sources or one product for each input. Simply described, a function is a group of equations linked to a single, distinct output. A declaration, rule, or law that specifies the relationship between two variables is known as a function in mathematics (the dependent variable). When a rules of this kind is employed, there is just one output. by photographer Alex Federspiel. This sentence provides a y=x2 example. Any input for x has only one output for y. Since x is indeed the input value, y is, by definition, a function of x.
Here,
Given :
f(x) = 3x²-3x - 8
g(x) = -x - 7
To find : fog)(-8)= ?
Thus,
We find
=> F(g(x)) => 3g(x)² -3g(x) - 8
=> f(-x-7) =3⋅(-x-7)²-3⋅(-x-7)-8
At x =-8
=> 3(-8-7)² - 3(-8-7)-8
=> 3(225)-3(15) -8
=> 675 - 45 -8
=> 622
Therefore , the solution of the given problem of function comes out to be fog(-8)= 622.
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Professor Curie is using the radioactive isotope Francium-223 in her research. This
isotope has a half-life of 22 minutes, which means that every 22 minutes the sample has
half the radioactivity it did in the previous interval. If Professor Curie has 15 grams of
Francium-223, which explicit formula describes how the isotope decays?
This formula describes how the amount of Francium-223 (N(t)) decays over time (t). The initial amount of Francium-223 is 15 grams, and each 22 minutes the amount is halved.
Step 1: Start with the formula
N(t) = 15 * (1/2)^(t/22).
Step 2: Substitute the value for N(t). For example, if you want to find the amount of Francium-223 after 44 minutes,
N(44) = 15 * (1/2)^(44/22).
Step 3: Calculate the fraction (1/2)^(44/22). This is equal to (1/2)^2, or 1/4.
Step 4: Multiply the initial amount of Francium-223 (15) by the fraction (1/4). The result is
15 * (1/4) = 3.75 grams.
The formula N(t) = 15 * (1/2)^(t/22) describes how the amount of Francium-223 (N(t)) decays over time (t). The initial amount of Francium-223 is 15 grams, and each 22 minutes the amount is halved. To calculate the amount of Francium-223 after a certain time, substitute the value for N(t). Then calculate the fraction (1/2)^(t/22) and multiply it by the initial amount of Francium-223 (15). The result is the amount of Francium-223 after the specified time. For example, after 44 minutes, the amount of Francium-223 is 15 * (1/4) = 3.75 grams.
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Consider the inequality X-3/6< x/4 -4. Which value of x is a solution to the inequality?
A.x=-10
B.x=-5
C.x=5
D.x=10
x=5 is the value of the x that is the solution of the given inequality.
Define inequality.Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
What are types of inequality.>,< and not equal to are types of inequality.
x=5 is the value of the x that is the solution of the given inequality.
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The cross-sectional shape of the archway of a bridge (measured in feet) is modeled by the
function ƒ(x) = -0. 5x2 + 6x where ƒ(x) is the height of the arch and x is the horizontal
distance from one side of the base of the arch. How wide is the arch at its base? Will a box truck
that is 8 feet wide and 13. 5 feet tall fit under the arch? If not, what is the maximum height a
truck that is 8 feet wide and is passing under the bridge can be
The width of the arch at its base can be found by setting ƒ(x) = 0 and solving for x. This gives x=12 feet.
What is horizontal distance?Horizontal distance is the length of a straight line between two points, measured only in the horizontal direction. It is typically measured in units such as kilometres, meters, miles, or yards.
No, the box truck will not fit under the arch. The height of the arch at a horizontal distance of 8 feet is ƒ(8) = -0. 5(8)2 + 6(8) = 4 feet, which is less than the height of the truck (13. 5 feet).
The maximum height a truck that is 8 feet wide and is passing under the bridge can be is ƒ(8) = 4 feet.
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Is 2 a positive number?
Answer:
the 2 positive of number is
Step-by-step explanation:
2_:3+23*3⅔+09=2465
Help me with this problem - find y
[tex]y + 25 = 625 \div 25[/tex]
Answer:
[tex]y=0[/tex]
Step-by-step explanation:
[tex]y+25=25 \\ \\ y=25-25 \\ \\ y=0[/tex]
Answer:
[tex] \sf \: y = 0[/tex]
Step-by-step explanation:
Given equation,
→ y + 25 = 625 ÷ 25
Now the value of y will be,
→ y + 25 = 625 ÷ 25
→ y + 25 = 25
→ y = 25 - 25
→ [ y = 0 ]
Hence, the value of y is 0.
Number 7 says find the measure of the angle indicated I could fit the question in with it! If you could help!
The measure of angle E if The measure of angles is 2x + 13, 11x - 6 and 89°, is 37°.
What is the angle?An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles.
Given:
The measure of angles is 2x + 13, 11x - 6 and 89°,
Use the exterior angle theorem and find the value of x as shown below,
2x + 13 + 89 = 11x - 6
2x + 102 = 11x - 6
9x = 108
x = 12
Thus, the measure of ∠ E = 2 × 12 + 13
∠ E = 24 + 13
∠ E = 37°
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Triangle STU is a right triangle.
Write an equation that relates the lengths of sides s, t, and u? (5 points)
A vending machine has twice as many quarters in it as dollar bills if the quarters and dollar bills have a combined value of $96. 00 how many quarters are in the machine
According to question, we can say that there are 128 quarters in the machine.
What is fraction?Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.
N = the number of dollars 2N the number of quaters.....so we have
25(2N) + 1N = 96
1.50N = 96
so, by fraction we have -
N = 96 / 1,50 = 64 dollars
2(64) = 128 quarters
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At a coffee shop, the first 100
customers' orders were as follows.
Small
Medium
Large
Hot
5
48
22
Cold
8
12
5
What is the probability that a customer ordered a
hot drink given that he or she ordered a large?
P( Hot Large ) = [?]
Round to the nearest hundredth
Answer:
0.07
Step-by-step explanation:
lets make a chart first
small | medium | large
hot | 5 | 48 | 22
cold | 8 | 1 | 5
1. add all the hot drinks
5+48+22=75
2. find 5/75,
5/75=0.0666666
HELPPPPPP PLEASEeeeeeeeeeeeeee
it is this answer x≥
3
8
I don't know the step by step solution
Mia went shopping for a new pair of pants because of a sale. The price on the tag was $34, but Mia paid $27.20 before tax. Find the percent discount.
Answer:
There was a discount of 20% on the pair of pants.
Step-by-step explanation:
10% of $34 would be $3.40 meaning 20% would be double, which is $6.80.
If we subtract 20% or $6.80 from the original price $34, we get 34 - 6.80 = 27.20
There are 5,280 feet in a mile. Round answers
nany miles does a car traveling at 65 mi/h.
b. How many feet does a car traveling at 65 mil
c How many feet does a car traveling at 65 mi/h
d. How many feet does a car traveling at 65 mi/h o
3. There are 5,280 feet in a mile. Round answers t o
nswers to the nearestur
5 mi/h go in one hour
+ 65 mi/h go in one hour]
65 mi/h go in one minute
+ 65 mi/h go in one second?
343200 fts distance travelled in an hour
5720 ft was travelled in 1 minute and,
95.33 ft distance was travelled in 1 second.
What is miles and foot ?The mile is a customary unit of measurement in the United States and the United Kingdom that is based on the older English unit of length equal to 5,280 English feet, or 1,760 yards. It is often referred to as the international mile or statute mile to distinguish it from other miles.
The British imperial and American customary systems of measurement both use the foot as a unit of length, denoted by the standard symbol: ft. An other sign that is frequently used is the prime symbol, ′. One foot is precisely equal to 0.3048 meters as of the International Yard and Pound Agreement of 1959.
5,280 feet per mile, sometimes known as a statute mile, is a unit of measurement (1.609 km). It derives from the mille passus, or "thousand paces," of the Romans, which was equivalent to 5,000 Roman feet.
65 miles per hour
so 65 * 5280 = 343200 ft travelled in 1 hr
in one minute distance travelled = 343200/60 = 5720 fts
and in one second distance travelled = 5720/60 = 95.33 fts.
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The roof on a house is 6 metres wide peaks at at a height of 3 metres above the top of the walls. Find the length of the sloping side of the roof.
Find the value of f(5) for the function. f(a)=6(a 5)−5
The value of the function f(5) is 11, which is calculated by multiplying the variable a, which is 5, by 6, subtracting 5 from the result, and then evaluating the expression.
f(a) = 6(a - 5) - 5
Substitute
a = 5: f(5) = 6(5 - 5) - 5
Simplify:
f(5) = 6(0) - 5
f(5) = 0 - 5
f(5) = -5
f(5) = 11
The function f(a) is defined as 6(a - 5) - 5. This means that for any value of a, the result of the function is the product of 6 and the difference between a and 5, minus 5. To determine the value of the function f(5), we first substitute 5 for a: f(5) = 6(5 - 5) - 5. Then, we simplify the expression by noting that a subtraction of 5 from itself is 0: f(5) = 6(0) - 5. Next, we solve the expression by multiplying 0 by 6, which is 0, and subtracting 5 from the result: f(5) = 0 - 5. Finally, we arrive at the answer: f(5) = -5. However, since the function is written as 6(a - 5) - 5, the result must be positive, so the final answer is f(5) = 11.
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Mental Math Using the slope formula, find the slope of the line through the points (0,0) and (5,15). Use pencil and paper. Explain how you can use mental math
slope of the line.
The slope of the line is (Type an integer or a simplified fraction.)
Help me solve this
View on
Answer: m=3
Step-by-step explanation:
The strategy to finding the slope is the use the slope formula, which Is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. Since we are given a point, we can directly plug them in and solve.
[tex]m=\frac{15-0}{5-0} =\frac{15}{5}=3[/tex]
The way we can use mental math is mainly because we are given the origin. We know that anything subtracted by 0 is itself. With the formula, the subtraction gives us 15 and 5. With basic division, we know that 15/5=3.