Answer: $9.50
Step-by-step explanation: $21-2=$19; $19÷2=$9.50
Find the equation of the linear function represented by the table below in slope-
intercept form.
Answer:
y=2x+6
Step-by-step explanation:
One of the factors of x2−25 is (x−5). What is the other factor?
Answer: (x+5)
Step-by-step explanation:
The only other possible factor is (x+5). We can test it out to see if it multiplies out to x²-25.
(x+5)(x-5) [FOIL]
x²-5x+5x-25 [combine like terms]
x²+0x-25
x²-25
Therefore, we know that (x+5) is the correct other factor.
let p be the perimeter of a rectangle, and let one side of the rectangle be x
PLEASE SHOW WORK
That is the length in terms of p and x.
L = p/2 - x
How to get the length of the other side in terms of x and p?
For a rectangle of length L and width W, the perimeter is:
P = 2*(L + W).
Here we know that the perimeter is p, so P = p, and let's say that the width is x.
Then we can write:
p = 2*(L + x)
Solving for L:
L = p/2 - x
That is the length in terms of p and x.
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Help would be much appreciated
A piece of fabric is yard long. A piece of ribbon is yard long. How many
more yards of ribbon do you need to have equal lengths of fabric and
ribbon?
Answer:
the piece of fabric and ribbon are the same length. in that case, its 0
Step-by-step explanation:
6^2x+2.6^3x=1 solve x=
Answer:
Step-by-step explanation:
if it is \(6^{2}x+ 2.6^{3}\)x = 1
36x+17.576x = 1
53.576x = 1
x = 1 / 53.576
x = 1 / \(\frac{6697}{125}\)
x = \(\frac{125}{6697}\)
or is it
6\(x^{2}\) + 2.6\(x^{3}\)=1 ?
Answer:
This is what I got.
Step-by-step explanation:
5+=8
How do I solve this
Answer: 3
Reason: 5 + 3 = 8
Answer:
t = 0.625
Step-by-step explanation:
Assuming this is 5t = 8:
5t = 8 | Given
t = 0.625 (5/8, divide 5 by 8 to separate the coefficient 5 from the variable t.)
If 2x - 3x = 3 what is 16x / 64x?
Answer:
\(\frac{1}{4}\)
Step-by-step explanation:
The problem \(2x - 3x = 3\) is incorrect. The correct answer for that one is \(-x \:\sf{or\:-1\)
\(\sf{Simplify\: the\: expression.\)
\(\sf{\frac{16x}{64x} = \frac{1}{4}\)
\(x=\frac{1}{4}\)
Therefore, the answer is \(\frac{1}{4}\)
Hi! ❤️ help here pls I would appreciate it lots
Answer:
SEE THE IMAGE FOR SOLUTION.
To earn a bonus in a video game, you much find 25 out of 40 gems. Do you get the bonus? Explain
Answer:you in go formative
Step-by-step explanation:??Right
Does anyone know this answer??
Approximately 99.7% of scores lie in the shaded region.
We have,
The empirical rule, also known as the 68-95-99.7 rule, provides an estimate of the percentage of scores that lie within a certain number of standard deviations from the mean in a normal distribution.
According to this rule:
Approximately 68% of scores lie within 1 standard deviation of the mean.
Approximately 95% of scores lie within 2 standard deviations of the mean.
Approximately 99.7% of scores lie within 3 standard deviations of the mean.
Now,
In the given scenario, the shaded region represents the area between -2 and 3 standard deviations from the mean on the x-axis.
This encompasses the area within 3 standard deviations of the mean.
And,
Since 99.7% of scores lie within 3 standard deviations of the mean, we can estimate that approximately 99.7% of scores lie in the shaded region.
Therefore,
Approximately 99.7% of scores lie in the shaded region.
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-(7/10)+2/8+1/10-(4/8)
Answer: - 17/20
or in decimal form -0.85
hope this helps
Step-by-step explanation:
A marketing firm conducts a survey to determine the ages of their survey subjects who like a new health drink.
This is the resulting data from their survey:
49, 63, 78, 22, 41, 39, 75, 61, 63, 65,
58. 37. 45, 52, 81, 75, 78, 72, 68, 59,
72, 85, 63, 61, 75, 39, 41, 48, 59,55
61, 25, 61, 52, 58, 71, 75, 82, 49, 51
The mean age of the subjects who like the new health drink is (type your answer...)
and the median age of the subjects is (type your answer..)
Answer:
Mean = 59.1, Median = 61
(there might have been a mistake in calculation (a lot of numbers!))
Step-by-step explanation:
The sample size is 40,
Now, the formula for the mean is,
Mean = (sum of the sample values)/(sample size)
so we get,
\(Mean = (49+63+78+22+41+39+75+61+63+65+58+37+45+52+81+75+78+72+68+59+72+85+63+61+75+39+41+48+59+55+61+25+61+52+58+71+75+82+49+51)/40\\Mean = 2364/40\\Mean = 59.1\)
To find the median, we have to sort the list in ascending (or descending)order,
we get the list,
22,25,37,39,39,41,41,45,48,49,
49,51,52, 52,55,58, 58, 59, 59, 61,
61, 61, 61, 63, 63, 63, 65, 68, 71, 72,
72, 75, 75, 75, 75, 78, 78, 81, 82, 85
Now, we have to find the median,
since there are 40 values, we divide by 2 to get, 40/2 = 20
now, to find the median, we takethe average of the values above and below this value,
\(Median = ((n/2+1)th \ value + (n/2)th \ value )/2\\where, \ the\ (n/2)th \ value \ is,\\n/2 = (total \ number \ of \ samples) /2\\n/2=40/2\\(n/2)th = 20\\Hence\ the (n/2)th \ value \ is \ the \ 20th \ value\)
And the (n+1)th value is the 21st value
Now,
The ((n/2)+1)th value is 61 and the nth value is 61, so the median is,
Median = (61+61)/2
Median = 61
The value of x for the function f(x) = 100+ 0.3x is 210, when
f(x) = 121. True Or False
Answer:
false
Step-by-step explanation:
the answer is x=70
A die is rolled. Find the probability of the given event.
Write your answers as whole numbers or simplified fractions.
A. The number showing is a 2
P(2)=
B. The number showing is an even number
P(even) =
C. The number showing is greater than 5
P(greater than 5) =
No bots pls
Answer:
\(\textsf{A)} \quad \sf P(2)=\dfrac{1}{6}\)
\(\textsf{B)} \quad \sf P(even)=\dfrac{1}{2}\)
\(\textsf{C)} \quad \sf P(greater\;than\;5)=\dfrac{1}{6}\)
Step-by-step explanation:
Probability is a measure of the likelihood or chance that an event will occur, expressed as a number between 0 (indicating impossibility) and 1 (indicating certainty).
The probability of an event occurring can be calculated by dividing the number of ways it can occur by the total number of possible outcomes:
\(\boxed{\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}}\)
A standard die is a six-sided cube with numbered faces from 1 to 6. Therefore, the total number of possible outcomes when a die is rolled is 6.
Part ASince there is only one face on the die numbered as 2, the probability of rolling a 2 is:
\(\sf P(2)=\dfrac{1}{6}\)
Part BSince there are three even-numbered faces on the die (2, 4, and 6), the probability of rolling an even number is:
\(\sf P(even)=\dfrac{3}{6}=\dfrac{3 \div 3}{6 \div 3}=\dfrac{1}{2}\)
Part CSince there is one face on the die with a number greater than 5, the probability of rolling a number greater than 5 is:
\(\sf P(greater\;than\;5)=\dfrac{1}{6}\)
A fence with 2 gates in it surrounds a lion enclosure.
Each gate is 4 m wide.
an image
What is the length of the fence around the enclosure not including the gates?
The length of the fence around the enclosure not including the gates is:2l + 2w + 8 m
To find the length of the fence around the enclosure, we need to first find the perimeter of the rectangle and then subtract the combined length of the two gates from it.
Let's assume the length of the rectangle is 'l' and the width is 'w'.
From the given data, we know that each gate is 4 m wide.
Therefore, the width of the rectangle is:
Width = w + (4 m + 4 m) = w + 8 m
The perimeter of the rectangle is:
P = 2l + 2(w + 8 m) = 2l + 2w + 16 m
Now, we need to subtract the combined length of the two gates from the perimeter:
P - 2 × 4 m = 2l + 2w + 16 m - 8 m = 2l + 2w + 8 m
So, the length of the fence around the enclosure not including the gates is:2l + 2w + 8 m
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Suppose you're given a data set that classifies each sample unit into one of four categories: A, B, C, or D. You plan to create a computer database consisting of these data, and you decide to code the data as A1, B2, C3, and D4. Are the data consisting of the classifications A, B, C, and D qualitiative or quantitative? After the data are input as 1, 2, 3, or 4, are they qualitative or quantitative?
Answer:
The data consisting of the classifications A, B, C, and D are qualitative.
After the data are input as 1, 2, 3, or 4 the data still be qualitative.
Step-by-step explanation:
The data consisting of the classifications A, B, C, and D are qualitative because data is categorized in A B C and D categories.
When the data are input as 1,2,3 or 4 it would be still be qualitative because here 1,2,3 or 4 as used as identifier rather than actual numerical meaningful digits.
Which point could represent 5/3 ?
Answer:D
Step-by-step explanation:
5/3 is 2/3 and its also between 0 and 1
Answer:
the answer is C
Step-by-step explanation:
i got it right
A store sells oranges and apples. Oranges cost $1.00 each and apples cost $2.00 each. In the first sale of the day, 15 fruits were sold in total, and the price was $25. How many of each type of frust was sold?
A store sells 5 oranges and 10 apples.
What is the cost amount?
The cost of an asset to you often serves as its basis. The cost is the sum that you pay for it using money, debt, other goods, or services. Sales tax and other purchase-related costs are included in the price.
Here, we have
Given: A store sells oranges and apples. Oranges cost $1.00 each and apples cost $2.00 each. In the first sale of the day, 15 fruits were sold in total, and the price was $25.
We have to determine how many of each type of fruit were sold.
We, let the oranges be x.
let the apples be y.
x + y = 15...(1)
1x + 2y = 25...(2)
We subtract equation(2) from equation(1), we get
y = 10
Now we put the value of y in equation (1) and we get
x + 10 = 15
x= 5
Hence, a store sells 5 oranges and 10 apples.
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How many solutions does the system of
equations below have?
-2x - 3y + z = 7
-x - y + 3z = -10
-2x - y - z = 13
no solution
one solution
infinitely many
solutions
The system of equations has infinitely many solutions.
What is a system of equations?
A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.
Here, we have
Given:
-2x - 3y + z = 7
-x - y + 3z = -10
-2x - y - z = 13
We have to how many solutions the system of equations has.
Arranging the above equations in form of a matrix and finding the determinant, we get,
Δ = \(\left|\begin{array}{ccc}-2&-3&1\\-1&-1&3\\-2&-1&-1\end{array}\right|\)
= -2(1+3) +3(1+6) +1(1-2)
= - 4 + 21 -1 = 16
Δ₁ = \(\left|\begin{array}{ccc}7&-3&1\\-10&-1&3\\13&-1&-1\end{array}\right|\)
= 7(1+4) +3(10-39) +1(10+13)
= 35 - 87 + 23
= -29
Hence, the system of equations has infinitely many solutions.
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Solve the following for θ, in radians, where 0≤θ<2π.
cos^2(θ)+7cos(θ)+4=0
Select all that apply:
4.03
2.65
1.65
2.25
1.43
The range of the cosine function is [-1, 1], there are no real solutions for θ in the given range.
We have,
We can solve the given quadratic equation for cos(θ) using the quadratic formula:
cos(θ) = (-b ± sqrt(b^2 - 4ac)) / 2a
Here, a = 1, b = 7, and c = 4.
Substituting these values, we get:
cos(θ) = (-7 ± √(7² - 4(1)(4))) / 2(1)
cos(θ) = (-7 ± √(41)) / 2
Since 0 ≤ θ < 2π, we need to consider only the solutions that lie in this range.
Using a calculator, we get:
cos(θ) ≈ -3.03 or -0.65
Since the range of the cosine function is [-1, 1], there are no real solutions for θ in the given range.
Therefore,
None of the given options (4.03, 2.65, 1.65, 2.25, 1.43) is correct.
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Lesson 17: Use the Four Operations to Solve Problems Cool Down: Andre's Balloons Andre has 125 balloons. He and 4 friends hung up some balloons for a party at school and now there are 80 balloons left. If each person hung up the same number of balloons, how many balloons did each person hang up? 1. Write an equation with a letter for the unknown quantity to represent the situation. 2. Solve the problem. Explain or show your reasoning.
a) Using the four basic mathematical operations, the number of balloons that each person hang up is 9.
b) An equation representing the situation is x = (125 - 80)/5.
What are the mathematical operations?The four basic mathematical operations include addition, subtraction, division, and multiplication.
The mathematical operations provide solutions to mathematical problems using operands.
What is an equation?An equation is a mathematical statement showing that two or more mathematical expressions are equal or equivalent.
The total number of balloons that Andre has = 125
The number of balloons remaining after hanging some for the school party = 80
The difference (number of balloons used) = 45 (125 - 80)
The number of friends who hang the balloons = 5
The number of balloons hung by each friend of Andre = 9 (45/5)
Thus, we can conclude that each of the 4 friend and Andre hung 9 balloons, with 80 remaining.
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A scale factor of less than one means
Answer:
The sides get smaller
Step-by-step explanation:
Because anything times 1 gets smaller and it's no different for scale factor
Answer:
When the absolute value of the scale factor is less than one, a compression occurs. When the absolute value of the scale factor is equal to one, neither an expansion nor a compression occurs.
Step-by-step explanation:
A media personality argues that global temperatures are not rising because every year an increase is reported such as 0.09 degrees Celsius. The difference from the previous year is less than the margin of error of about 0.13 degrees C, so that difference should be ignored. What is the best counterargument?
The media personality's argument is flawed because they are basing their conclusion on a single year's data and ignoring the overall trend of increasing global temperatures. To counter this argument, one can make the following points:
1. While it is true that the annual increase in temperature may be less than the margin of error, the trend of increasing temperatures over several decades cannot be ignored. The margin of error is a statistical concept that takes into account the uncertainty in the measurement, but it does not negate the overall trend.
2. Global temperature records show that the Earth's temperature has been steadily rising over the past century, with the 10 warmest years on record occurring since 2005. This trend cannot be explained by natural variability alone and is consistent with the effects of human-caused climate change.
3. The consequences of rising global temperatures, such as melting glaciers, rising sea levels, and more frequent extreme weather events, are already being felt around the world. Ignoring this trend could have devastating consequences for future generations.
In summary, the media personality's argument is based on a flawed understanding of statistics and ignores the overall trend of increasing global temperatures. The best counterargument is to highlight the overwhelming evidence of climate change and its potential consequences.
In Math town,60% of the population are males and 30% of them have brown eyes. Of the total math town population 28 % have brown eyes. What percentage of the females in math town have brown eyes?
25% percent of the females in Math town have brown eyes. To find the number of females with brown eyes, we need to subtract the number of males with brown eyes from the total number of people with brown eyes
what is percent ?
A percent is a way of expressing a number as a fraction of 100. The symbol for percent is %, which means "per hundred".
In the given question,
Let's assume that there are 100 people in Math town.
60% of them are males, so there are 60 males and 40 females.
Out of the 60 males, 30% have brown eyes, so there are 18 males with brown eyes.
28% of the entire population have brown eyes, so there are 28 people with brown eyes.
To find the number of females with brown eyes, we need to subtract the number of males with brown eyes from the total number of people with brown eyes:
28 - 18 = 10
So, there are 10 females with brown eyes.
Out of the 40 females in Math town, what percentage have brown eyes?
10 brown-eyed females out of 40 females is:
10/40 = 0.25 or 25%
Therefore, 25% of the females in Math town have brown eyes.
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1) Solve for x
4x + 3 = 3x - 5
A) 8
C) -8
D) 2
B) -2
Solve for y:
7y + 3y - 2y + 12 = 60
please help!
mathematics question
Answer:
k = 6 and k = -4
Step-by-step explanation:
To determine two integral values of k (integer values of k) for which the roots of the quadratic equation kx² - 5x - 1 = 0 will be rational, we can use the Rational Root Theorem.
The Rational Root Theorem states that if a rational number p/q is a root of a polynomial equation with integer coefficients, then p must be a factor of the constant term (in this case, -1) and q must be a factor of the leading coefficient (in this case, k).
Possible p-values:
Factors of the constant term: ±1Possible q-values:
Factors of the leading coefficient: ±1, ±kTherefore, all the possible values of p/q are:
\(\sf \dfrac{p}{q}=\dfrac{\pm 1}{\pm 1}, \dfrac{\pm 1}{\pm k}=\pm 1, \pm \dfrac{1}{k}\)
To find the integral values of k, we need to check the possible combinations of factors. Substitute each possible rational root into the function:
\(\begin{aligned} x=1 \implies k(1)^2-5(1)-1 &= 0 \\k-6 &= 0 \\k&=6\end{aligned}\)
\(\begin{aligned} x=-1 \implies k(-1)^2-5(-1)-1 &= 0 \\k+4 &= 0 \\k&=-4\end{aligned}\)
\(\begin{aligned} x=\dfrac{1}{k} \implies k\left(\dfrac{1}{k} \right)^2-5\left(\dfrac{1}{k} \right)-1 &= 0 \\\dfrac{1}{k}-\dfrac{5}{k}-1 &= 0 \\-\dfrac{4}{k}&=1\\k&=-4\end{aligned}\)
\(\begin{aligned} x=-\dfrac{1}{k} \implies k\left(-\dfrac{1}{k} \right)^2-5\left(-\dfrac{1}{k} \right)-1 &= 0 \\\dfrac{1}{k}+\dfrac{5}{k}-1 &= 0 \\\dfrac{6}{k}&=1\\k&=6\end{aligned}\)
Therefore, the two integral values of k for which the roots of the equation kx² - 5x - 1 = 0 will be rational are k = 6 and k = -4.
Note:
If k = 6, the roots are 1 and -1/6.
If k = -4, the roots are -1 and -1/4.
Angles A and C are supplementary. Find the measure of angle C.
Angle EAB is 74 degrees. Angle FCD is undetermined.
How do I solve this problem?
In the given situation where ∠A and ∠C are supplementary, the angle ∠C is 106°.
What are supplementary angles?Angles that add up to 180 degrees are referred to as supplementary angles.
For instance, angle 130° and angle 50° are complementary angles since the sum of these two angles is 180°.
Two angles are complementary if their sum equals 90 degrees, and supplementary if their sum equals 180 degrees.
Because the three angles of a triangle sum up to 180° and the right angle has already taken up 90°, the two non-right angles in a right-angled triangle are complementary.
We say two angles "Complement" one other when their sums equal 90 degrees.
So, we already are aware of that:
∠A and ∠C are supplementary
∠A is 74°
Then, ∠C would be:
∠A + ∠C = 180
74 + ∠C = 180
∠C = 180 - 74
∠C = 106
Therefore, in the given situation where ∠A and ∠C are supplementary, the angle ∠C is 106°.
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Correct question:
Angles A and C are supplementary. Find the measure of angle C.
(Refer to the image below)
Decide whether the function is one-to-one.
y = 2(x + 5)² - 6
The function f ( x ) = y = 2 ( x + 5 )² - 6 is a one to one function
What is one to one function?
One to one function or one to one mapping states that each element of one set, say Set (A) is mapped with a unique element of another set, say, Set (B), where A and B are two different sets. It is also written as 1-1. In terms of function, it is stated as if f(x) = f(y) implies x = y, then function f is one to one.
The function, f(x), is a one to one function when one unique element from its domain will return each element of its range. This means that for every value of x, there will be a unique value of y or f(x).
f ( x₁ ) = f ( x₂ ) if and only if x₁ = x₂
Given data ,
Let the function be f ( x )
where f ( x ) = y
So , the equation will be
y = 2 ( x + 5 )² - 6
Now , on simplifying the equation , we get
y = 2 ( x² + 10x + 25 ) - 6
y = 2x² + 20x + 50 - 6
y = 2x² + 20x + 44
Therefore , the function is f ( x ) = y = 2x² + 20x + 44
Now , replace y with x , we get
f ( y ) = x = 2y² + 20 y + 44
And f ( x₁ ) = f ( x₂ )
So , the function is one to one function
Hence , The function f ( x ) = y = 2 ( x + 5 )² - 6 is a one to one function
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