The integer in the solution set that will make the equation true is (c) 3
How to determine the solution to the expression?From the question, we have the following parameters that can be used in our computation:
3p + 13 = 22
Subtract 13 from both sides of the expression
So, we have the following representation
3p = 9
Divide both sides of the equation by 3
p = 3
Hence, the solution is p = 3
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the set of numbers that include all the positive and negative whole numbers and zero; there are integers that are not whole numbers.; is 0 a whole number; are all integers natural numbers; are whole numbers rational numbers; there are whole numbers that are not rational numbers.; the set of whole numbers and their opposites are called; classifying numbers
Absolute Value: The "unsigned" number that corresponds to the (Positive) distance between a number and zero on the number line. [tex]| - 4| = 4 and | 4| = 4;[/tex]
What are real numbers?Positive and negative integers, fractions, rational numbers, including irrational numbers, and negative integers are all examples of real numbers. fictitious numbers, Real numbers are those that fall between the two extremes,
Absolute Value: The "unsigned" number that corresponds to the (Positive) distance between a number and zero on the number line. | - 4| = 4 and | 4| = 4; The collection of positive numbers used to count items is known as the counting numbers, sometimes known as natural numbers. 1, 2, 3, 4, 5, ...; Fractions and decimals are not integers; rather, integers are the set of all whole numbers, along with their opposites (the positive whole numbers, the negative whole numbers, and zero). -3, -2, -1, 0, 1, 2, 3, ...; Irrational Numbers - The collection of all non-terminating, non-repeating decimal numbers; Natural Integers: The collection of positive numbers utilized in object counting (also called counting numbers). 1, 2, 3, 4, 5, ...; Unfavorable Numbers - the range of numbers on the number line that are less than zero and to the left of zero.; Number Line - a horizontal line with points representing different numbers. In a number line with just whole numbers or integers, the dots are uniformly spaced out according to the value of the number they represent.; Opposite - a number that is on the other side of zero and at the same distance from zero as a given integer. For instance, the opposites of 7 and -7 and 9 and 9 are both 7; positive figures - the group of numbers on the number line that are greater than zero and to the right of zero.
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CAN SOMEONE HELP WITH THIS QUESTION?✨
The simplified form of function sin(t)sec(t) is tan(t)
What are trigonometric ratios?The trigonometric functions and identities are the ratio of sides of a right-angled triangle. The sides of a right triangle are the perpendicular side, hypotenuse, and base, which are used to calculate the sine, cosine, tangent, secant, cosecant, and cotangent values using trigonometric formulas.
sec(t) = 1/cos(t)
replacing sec(t) in the function sin(t)sec(t)
we have sin(t) x 1/cos(t) which becomes sin(t)/cos(t)
but sin(t)/cos(t) = tan(t)
In conclusion the simplified form of the function is tan(t)
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use the given coordinates to determine whether $\triangle abc\cong\triangle def$ .$a(-2,-2),\ b(4,-2),\ c(4,\ 6),\ d(5,\ 7),\ e(5,\ 1),\ f(13,\ 1)$the triangles congruent.
The ΔABC and ΔDEF are congruent by SSS congruent criteria
According to the question,
We have to prove ΔABC and ΔDEF are congruent
Coordinates of ΔABC are given as :
A(-2 , -2) , B(4 , -2) and C(4,6)
By using Distance formula ,
AB = √(-2-(-2))²+ (4 - (-2))²
=> √(-2 + 2)² + (4 +2)²
=> √ 6²
=> 6
AC = √(6-(-2))²+ (4 - (-2))²
=> √(6 + 2)² + (4 +2)²
=> √ 56 + 36
=> √92
BC = √(6-(-2))²+ (4 - 4)²
=> √(6+ 2)²
=> √ 8²
=> 8
Coordinates for ΔDEF,
D(5 , 7) , E(5,1) and F(13 , 1)
By using Distance formula ,
DE = √(1 - 7)²+ (5 -5)²
=> √(-6)²
=> √36
=> 6
DF = √(1-7)²+ (13 - 5)²
=> √(-6)² + (8)²
=> √ 56 + 36
=> √92
EF= √(1 - 1)²+ (13 - 5)²
=> √ 8²
=> 8
Now, two triangles are congruent if they are equal sides or equal angles
Therefore , In ΔABC and ΔDEF
AB = DE
AC = DF
BC =EF
By the SSS criteria , ΔABC and ΔDEF are congruent
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in picking the smoothing constant for an exponential smoothing model, we should look for a value that
In picking the smoothing constant for an exponential smoothing model, we should look for a value that produces values which compare well with actual values based on a standard measure of error.
What is exponential smoothing model?
Using the exponential window function, exponential smoothing is a general method for blending time series data. Exponential functions are used to assign exponentially decreasing weights over time, as opposed to the simple moving average, which weights previous observations equally.
The correct answer is, produces values which compare well with actual values based on a standard measure of error.
Quantitative forecasting utilizes a compilation of past performance data of the organization to arrive at an accurate forecast for any given process.
The smoothing constant selected requires to optimize accuracy the unknown parameters and the initial values need to be considered with the implementation of the sum of squared errors providing the required accuracy.
Hence, in picking the smoothing constant for an exponential smoothing model, we should look for a value that produces values which compare well with actual values based on a standard measure of error.
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Complete question:
Complete question is attached below.
alpha can produce either 18 oranges or 9 apples an hour, while beta can produce either 16 oranges or 4 apples an hour. which of the following statements is true?
If alpha specialize in growing apples beta specialize in growing oranges the both could gain profit by the trade is true for the statement
Comparative advantage describes a situation in which a person or a country involved in trade processes may not have an absolute advantage, but can still benefit from trade on a comparative basis.
The nations frequently trade goods based on their comparative advantages so that both parties can benefit from trade.
According to the stated information,
Alpha can produce either 18 oranges or 9 apples per hour, while beta can only produce 16 oranges or 4 apples per hour, it is stated.
so ,If alpha specialize in growing apples and beta specialize in growing oranges the both could gain profit by the trade
Hence, option C is true
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The given jar contains yellow (Y), blue (B), and red (R) balls. Anne randomly chooses a single ball from the can shown here. Find the odds against the event.
()
Answer:
Step-by-step explanation:
33.3%
the speed (or rate) josiah travels to work is inversely proportion to time it takes to get there. if he travels 35 miles per hour it will take him 2.5 hours to get to work.
Josiah will take 1.5 hours to travel to work at the speed of 55 miles per hour.
As the speed and time are inversely proportional to each other, we can represent it as -
speed(i)/speed(f) = time(f)/time(i), where I represents initial and f represents final. Now, keep the values in formula to find the time (final).
35/55 = time(f)/2.5
Rewriting the equation according to variable time(f).
time(f) = (35×2.5)/55
Performing multiplication on Right Hand Side of the equation
time(f) = 87.5/55
Performing division on Right Hand Side of the equation
time(f) = 1.59 hours
Hence, it will take 1.59 hours.
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The complete question is -
The speed (or rate) Josiah travels to work is inversely proportional to time it
takes to get there. If he travels 35 miles per hour it will take him 2.5 hours to get to work. How long will it take him if he travels 55 miles per hour?
6) Pamela wants to buy a new Mercedes. The Mercedes wheel has a radius of
15", what is the area of the Mercedes wheel? (State answer to nearest tenth.)
Answer:
706.5 inches^2.
Step-by-step explanation:
The area of a circle is given by the formula A = πr^2, where A is the area of the circle, r is the radius of the circle, and π is a mathematical constant approximately equal to 3.14.
To find the area of a Mercedes wheel with a radius of 15 inches, we can substitute these values into the formula:
A = πr^2 = π(15 inches)^2 = 706.5 inches^2
Rounding to the nearest tenth, the area of the Mercedes wheel is approximately 706.5 inches^2.
Find the probability that when a couple has six children, at least one of them is a boy. (Assume that boys and girls are equally likely.)
The probability of having a boy when a couple has six children is 63 / 64.
What is probability?The ratio of good outcomes to all possible outcomes of an event is known as probability. A lot of successful results for an experimental with 'n' results can be represented by the symbol x.
Given:
A couple has six children, n = 6
The wanted event, p = 1 / 2
Calculate the probability of having a boy given by the following formula,
[tex]P(X) = nC_x px (1-p)n-x[/tex]
Here, [tex]X[/tex] = number of boys,
So,
P(X >= x) = 1 - P(X = 0)
P (X) = 1 - 6C₀ × (1 / 2) 0 × (1/2) 6
P (X) = 63 / 64
Therefore, the probability of having a boy when a couple has six children is 63 / 64.
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All of the Pythagorean Identities are related. Describe how to manipulate the equations to get from sin^2t +cos^2t = 1 to the other forms.
[tex]1 + cot^{2}2t = csc^{2}2t[/tex] can be manipulated from [tex]sin^{2}2t +cos^{2}2t =1[/tex]
What is Pythagorean Identity?
An identity, in mathematics, is an equation that is true for all possible values.(It is always true regardless of the values that are substituted into the equation.)
A trigonometric identity is an equation that involves trigonometric functions and is true for every single value substituted for the variable (assuming both sides are "defined" for that value) You will find that trigonometric identities are especially useful for simplifying trigonometric expressions.
The most common trigonometric identities are those involving the Pythagorean Theorem.
When studying the unit circle (radius of 1), it was observed that a point on the unit circle (a vertex of the right triangle) can be represented by the coordinates (cos 2t, sin 2t ).
Since the legs of the right triangle in the unit circle have the values of sin 2t and cos 2t, the Pythagorean Theorem can be used to obtain [tex]sin^{2}2t +cos^{2}2t =1[/tex]
Given Equation : [tex]sin^{2}2t +cos^{2}2t =1[/tex]
To proof : [tex]1 + cot^{2}2t = csc^{2}2t[/tex]
[tex]1 + cot^{2} \alpha = csc^{2} \alpha [let \alpha =2t] \\\\1 + cot^{2} \alpha = 1 + \frac{cos^{2}\alpha }{sin^{2} \alpha } \\\\1 + cot^{2} \alpha = \frac{sin^{2}\alpha }{sin^{2} \alpha } + \frac{cos^{2}\alpha }{sin^{2} \alpha }\\\\1 + cot^{2} \alpha = \frac{sin^{2}\alpha + cos^{2} \alpha }{sin^{2} \alpha }\\ \\1 + cot^{2} \alpha = \frac{1 }{sin^{2} \alpha } [ since ,sin^{2}\alpha + cos^{2}\alpha = 1]\\\\1 + cot^{2}\alpha = sec^{2} \alpha\\\\or\\1 + cot^{2}2t = sec^{2} 2t[/tex]
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A truck was purchased for $188000 and it was estimated to have a $32000 salvage value at the end of its useful life. Monthly depreciation expense of $2600 was recorded using the straight-line method. The annual depreciation rate is a.16,60% b.6.67% c.20.00% d.1.67%.
Answer: 20%
Step-by-step explanation: Annual depreciation = $2,600 * 12 = $31,200
Annual depreciation rate = Annual depreciation /Depreciable costs
= $31,200 / ($188,000 - $32,000)
= 20%
Suppose the probability of success on each of 6 independent trials of an experiment is 0.2. (Round your answers to four decimal places.) (a) What is the probability of 4 successes? (b) What is the probability of at least 1 success?
a) the probability of 4 success = 0.00629
b)the probability of at least 1 success = 1.5726
In Probability, the set of outcomes of an experiment is called events. There are different types of events such as independent events, dependent events, mutually exclusive events, and so on.
If the probability of occurrence of an event A is not affected by the occurrence of another event B, then A and B are said to be independent events.
given that
the probability of success on each of 6 independent trials of an experiment is 0.2.
a) the probability of 4 success
P(x=4) = 6[tex]C_{4}[/tex][tex](0.2)^{4}[/tex][tex](0.8)^{6}[/tex]
= 15×0.0016×0.2621
= 0.00629
b)the probability of at least 1 success
p(x≥1) = 1 - p(x<1)
= 1 - 6[tex]C_{0}[/tex][tex](0.6)^{0}[/tex][tex](0.8)^{6}[/tex]
= 1.5726
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find the derivative dy, dx for y equals the quotient of the quantity x cubed minus 5 times x and the quantity x squared minus 1. . (4 points)
Answer:
minus 5 times x and the quantity x squared minus 1.
Step-by-step explanation:
A dog weighs 80 pounds more than a cat. Their combined weight equals 120 pounds. What is the dog’s weight?
Answer:
100 pounds
Step-by-Step Explanation:
20+100=120
cat weighs 20
dog weighs 100
dog weighs 80 pounds more than the cat (20) = 100
Arezo borrowed $2,500 from her grandfather. This graph shows the balance remaining on Arezo’s debt after she makes each payment. Using this graph, how much will she owe after 4 payments?
Answer: May I see the graph?
Step-by-step explanation:
PLEASE ANSWER QUICKLYYY Select the correct answer.
Responses
A The Median age for the Chess Club members is less than the Median age for the Checkers Club members.
B The Range of the Chess Club members is less than the Range for the Checkers Club members.
C, The Interquartile Range (IQR) for the Chess Club is greater than the IQR for the Checkers Club.,
D The 1st Quartile ages for the Chess Club is less than the 1st Quartile ages for the Checkers Club.
The Median age for the Chess Club members is 14 and the Median age for the Chess Club members is 12.
Option A. The Median age for the Chess Club members is less than the Median age for the Checkers Club members is the correct option of the given figure.
What in mathematics is the median?The value that, when a dataset is arranged, lies exactly in the middle is the median. The difference between the lowest 50% and highest 50% of data is a measure of central tendency. Depending on whether you have an odd or an even number of data points, there are several procedures to find the median.
How can I determine the median?Identifying the median The data points should be arranged from smallest to largest. The median is the middle data point in the list if the number of data points is odd. The median is the average of the two middle data points in the list if the number of data points is even.
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Translate the following into a formula:
The sum S of the measures of the angles of a polygon is equal to 180 times the difference of the number of sides n and 2.
The value of the formula will be;
⇒ S = 180 (n - 2)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The algebraic expression is,
''The sum S of the measures of the angles of a polygon is equal to 180 times the difference of the number of sides n and 2.''
Now,
Since, The algebraic expression is,
''The sum S of the measures of the angles of a polygon is equal to 180 times the difference of the number of sides n and 2.''
Hence, We can formulate the expression as;
⇒ S = 180 (n - 2)
Thus, The value of the formula is,
⇒ S = 180 (n - 2)
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Which equation represents a circle that contains the point (-2, 8) and has a center at (4, 0)?
(x - 4)2 + y2 = 100
(x - 4)2 + y2 = 10
x2 + (y - 4)2 = 10
x2 + (y - 4)2 = 100
The National Association of Realtors estimates that 31% of all homes purchased in 2016 were considered investment properties. If a sample of 600 homes sold in 2016 is obtained what is the probability that 200 or fewer homes were purchased as investment properties? 0.3333 0.4066 0.9106 O 0.8917
The probability that 200 or fewer homes were purchased as investment properties is 0.937. This is calculated using the binomial distribution formula, where n = 600, p = 0.31, and x = 200.
1. The binomial distribution formula for calculating the probability of an event occurring is:
P(x) = nCx * p^x * q^(n-x)
where n is the number of trials, x is the number of successes, p is the probability of success, and q is the probability of failure (1 - p).
2. In this problem, n = 600, p = 0.31, x = 200, and q = 1 - 0.31 = 0.69.
3. Plugging these values into the formula, we get:
P(x) = 600C200 * 0.31^200 * 0.69^400
4. Solving this equation, we get P(x) = 0.937.
5. Therefore, the probability that 200 or fewer homes were purchased as investment properties is 0.937.
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what is the simplified form of (81x^4y^9)^1/2
The simplified form of the expression (81x⁴y⁹)¹/² is 9x²y⁴√y
How to determine the simplified form of the expression?From the question, we have the following parameters that can be used in our computation:
what is the simplified form of (81x^4y^9)^1/2
Rewrite the superscripts properly
(81x⁴y⁹)¹/²
The above expression is a radical expression
And the radicand is 81x⁴y⁹
The superscript outside the bracket represents square root
The square root of 81 is 9The square root of x⁴ is x²The square root of y⁹ is y⁴ySo, we have the following representation
(81x⁴y⁹)¹/² = 9x²y⁴√y
Hence, the solution is 9x²y⁴√y
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PLEASE HELP Angles C and E are vertical angles. If the measure of angle E is 28.3°, what is the measure of angle C? 16.7° 28.3° 61.7° 151.7°
The measure of angle C in the vertical angles is B. 28.3°.
What are vertical angles?Vertical angles are the angles formed when two lines intersect. The term "vertical" in this context refers to the fact that they share the same Vertex (corner point), rather than the usual meaning of up-down.
When two lines intersect, vertical angles are formed. Because the angles are opposite each other, they are sometimes referred to as vertically opposite angles. Real-world examples of vertical angles include a railroad crossing sign, the letter "X," open scissors pliers, and so on.
There angles are equal. Therefore, it'll be 28.3°.
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Answer: 28.3 GO GET UR A+ BROSKI
Step-by-step explanation:
They're virtical angles which mean
THEY'RE THE SAME BRO
so just do 28.3 :)
Let S be the set of all triangles that can be formed from three distinct vertices of a regular decagon. How many of those triangle are scalene?
The vertices of a regular decagon can only ever give rise to a maximum of zero scalene triangles at any one time.
What are triangles?Generally, An isosceles triangle has two sides with the same length. There are 10 ways to choose the vertex that is common to the two equal sides, and for each of these choices, there are 5 ways to choose the other two vertices (since they must be distinct from the first). Therefore, there are a total of
10* 5*5=250 isosceles triangles.
To get the final count of scalene triangles, we use the principle of inclusion-exclusion by subtracting the number of isosceles triangles from the total number of triangles.
This gives us a final count of 120-250=-130.
However, since we cannot have a negative number of triangles, the final answer is 0.
Therefore, there are 0 scalene triangles that can be formed from the vertices of a regular decagon.
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The complete Question was not found
the set of hexadecimal digits consisting of from one through four digits can be thought of as broken up into disjoint subsets: s1, s2, and so forth, where each sk consists of the strings with k hexadecimal digits. there are $$ incorrect: your answer is incorrect. strings in s1, $$ incorrect: your answer is incorrect. strings in s2, and so forth. thus, by the addition correct: your answer is correct. rule, the total number of strings is .'
It is possible to think of the set of hexadecimal digits, which includes one through four digits, as being divided into disjoint subsets: s, Sa, and so forth, strings in S,, strings in fourth, where each S, is made up of the strings with k hexadecimal digits. There are v rules, there are S2 total strings, and so on.
What is the hexadecimal system of numbers?Hexadecimal number system is one of many sorts of ways for representing numbers that has a base-16 value. Hexadecimal numerals therefore contain 16 symbols or digital values, namely 0 through 1, 2, 3, 4, 5, 6, 7, 8, 9, A–F. Single bit representations of 10, 11, 12, 13, 14, and 15 are A, B, C, D, E, and F, respectively.
How is hexadecimal pronounced?It can occasionally be spoken as "hex." There are only 16 used to represent hexadecimal integers. A, B, C, D, E, and F are the following values or symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
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Mr. Shaw paid $38.86 for 11.6 gallons of gasoline. How much did he pay per gallon?
Answer:
3.35
Step-by-step explanation:
38.86=11.6x
x=3.35
the radius of a ping pong ball is ( blank) centimeters.
help a girl out pleasee!!
Answer:
3√3v/3x V
Step-by-step explanation:
d/dt[32/3π, sin (tim), 3√3v/3x, V]
i need help quick pls
Answer: 20
Step-by-step explanation: If you look at how 4 got to 8 you multiplied it by two, so therefore, you multiply 10 by 2 also to get twenty.
Answer:
Step-by-step explanation
if in triangle 1 it’s four and its 8 in the 2nd one
multiply each number on the first triangle
f-e 20
Write and linear function f with f(0)=2 and f(5)=-3
Answer:
f(x) = -x + 2-----------------------------------
Slope-intercept form of a line:
f(x) = mx + b, where m-slope, b- y-interceptThe line has points:
(0, 2) and (5, - 3)The first point represents the y-intercept, b = 2.
The slope is:
m = (- 3 - 2)/(5 - 0) = - 5/5 = - 1The line is:
f(x) = - x + 2what’s 6.6428571 rounded to the nearest hundredth
Answer:
6.64
Step-by-step explanation:
The nearest hundredth is the second digit after the decimal point.
6.6428571 rounded to the nearest hundredth is 6.64
The height (in feet) attained by a rocket 1 seconds into flight is given by
h(t)
13+2112+ 431+ 20. When is the rocket ascending and when is it descending?
--313
Hint: you will first need to determine the time the rocket hits the ground.
==
We can determine whether the rocket is ascending or descending by evaluating the derivative at that time. If the derivative is positive, the rocket is ascending. If the derivative is negative, the rocket is descending.
What is a derivative of a function?
The derivative of a function can be interpreted as the slope of the graph of the function or, more precisely, as the slope of the tangent line at a point. Its calculation, in fact, derives from the slope formula for a straight line, except that a limiting process must be used for curves.
To determine whether the rocket is ascending or descending at a given time, we need to find the derivative of the function h(t) and determine whether it is positive or negative.
The derivative of h(t) is given by h'(t) = -t²+42t+43. This is the rate of change of the height of the rocket at any given time. If the derivative is positive, the rocket is ascending. If the derivative is negative, the rocket is descending.
At t = 1 second, h'(t) = -1 + 42 + 43 = 44. Since the derivative is positive at t = 1, we know that the rocket is ascending at this time.
Hence, we can determine whether the rocket is ascending or descending by evaluating the derivative at that time. If the derivative is positive, the rocket is ascending. If the derivative is negative, the rocket is descending.
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3 more than the sum of x and y
Step-by-step explanation:
???
(x + y) + 3
this is 3 more than the sum of x and y.
