Given ~
[tex] \: [/tex]
[tex]\tt \: g(x) = - 5x - 5[/tex]
[tex] \: [/tex]
Now , put the value of x.
x = 1
[tex] \tt \: g(1) = - 5(1) - 5[/tex]
[tex] \: [/tex]
[tex]\tt \: g(1) = - 5-5[/tex]
[tex] \: [/tex]
[tex] \underline{\boxed{ \red{\tt \: g(1) = - 10}}}{\green✓}[/tex]
[tex] \: [/tex]
hope helps ~
The value of g(1) in the function g(x) = - 5x - 5 is - 10.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, A function g(x) = -5x - 5.
Now to obtain the value of g(1) we'll simply replace x with 1.
∴ g(1) = - 5(1) - 5.
g(1) = - 5 - 5.
g(1) = - 10.
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Randy Johnson, a hall-of-fame baseball pitcher, could throw a baseball 100 miles per hour. How fast could he
throw the baseball in feet per second? Show the work that leads to your answer. (HINT: There are 5,280 feet
in a mile.)
Answer:
Answer:
I believe its 0.681818 feet per second.
Can someone explain how to find EF? AKA #3
The length of the side EF will be 18 inches as the sides opposite to the equal angles are also equal.
We are given a triangle EFG.
In this triangle, we can see that:
∠ E = ∠ F = 23°
Now, we know that the sides opposite to the equal angles are also equal.
So, the side opposite to angle E is GF
And the side opposite to angle F is EF.
This means that EF will be equal to GF.
EF = GF
Now, we are also given that GF = 18 inches.
So, EF will also be:
EF = 18 inches.
Therefore, we get that, the length of the side EF will be 18 inches as the sides opposite to the equal angles are also equal.
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Find the missing Endpoint
- Three times a number increased by 15 is
equal to 30. What is the number?
plify.
Answer:
x = 5
Step-by-step explanation:
3x + 15 = 30 Subtract 15 from both sides of the equation
3x = 15 Divide both sides by 3
x = 5
Which expression represents the product of a³ + 2x - 1 and 4 - x³ + 3?
Option C) is correct that is the product of (x³ + 2x – 1) * ( x⁴ – x³ + 3) is
x⁷ – x⁶ + 2x⁵ – 3x⁴ + 4x³ + 6x – 3
The two terms that we have been given are x³ + 2x – 1 and x⁴ – x³ + 3
To find the product of these two terms we will multiply term by term that is
(x³ + 2x – 1) * ( x⁴ – x³ + 3) = x³( x⁴ – x³ + 3) + 2x( x⁴ – x³ + 3) - 1( x⁴ – x³ + 3)
=x⁷ – x⁶ + 3x³ + 2x⁵ – 2x⁴ + 6x - x⁴ + x³ – 3
(x³ + 2x – 1) * ( x⁴ – x³ + 3) = x⁷ – x⁶ + 2x⁵ – 3x⁴ + 4x³ + 6x – 3
Hence the product of (x³ + 2x – 1) * ( x⁴ – x³ + 3) is
x⁷ – x⁶ + 2x⁵ – 3x⁴ + 4x³ + 6x – 3
That is option C) is correct
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2. What is the slope of the line that passes through the given points? (1 point)
(6,-1) and (-3,-1)
A. undefined
B.-2/3
C.0
D.-3/2
Answer:
C. 0
Step-by-step explanation:
m = (y2-y1)/(x2-x1)
m = (-1 - -1)/(-3 - 6) = (-1 + 1)/(-9) = 0/9 = 0
Answer:
C
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (6, - 1 ) and (x₂, y₂ ) = (- 3, - 1 )
m = [tex]\frac{-1-(-1)}{-3-6}[/tex] = [tex]\frac{-1+1}{-9}[/tex] = [tex]\frac{0}{-9}[/tex] = 0
516 is divisible by?
Answer:
1
2
3
4
6
12
43
86
129
172
258
516
Step-by-step explanation:
516 is divisible by?
Label the following number as a prime or composite. if the number is composite, then factor it completely. if the number is prime, answer "dne". 1426 select an answer factored:
Answer:
the answer due to the question is
1 is thousand
4 is hundred
2 is tens
6 is ones
which conversion factor can you use to convert meters to feet?
select all that apply
3fy/1yd
12in/1ft
1.09yd/1m
1m/1.09yd
1ft/12in
1yd/3ft
The conversion factor to convert meters to feet is 3.281 feet per meter.
What conversion factor should we use to convert meters to feet?
According to dimensional analysis, a quantity in a given unit can be converted into another quantity in a given unit of the same kind by using a conversion factor, whose formula is shown below:
Y = A · X
Unit representation
[Y] = ([Y] / [X]) · [X]
In this problem we need to convert a SI length unit into an US length unit. A meter is approximately equal to 3.281 feet or 1.094 yards.
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After san jose, ca banned plastic bags, in 2012, bag litter choking the city's storm drains dropped by
62% down to 80 bags per site tested. what was the number of bags per site tested before 2012 based
on this study?
Number of bags per site tested before 2012 based on study it dropped by 62% down to 80 bags per site in 2012 is 129 (approximately).
As given,
In 2012, bag per site tested dropped by 62%
Let n be the number of bags per site before 2012
As per condition,
62% of n = 80
⇒(62/100) × n = 80
⇒ n = (80 × 100)/62
= 129.03
≈ 129
Therefore, number of bags per site tested before 2012 based on study it dropped by 62% down to 80 bags per site in 2012 is 129 (approximately).
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2627 divided by 22 withR
Answer:
119 r 9
Step-by-step explanation:
After a 20% increase, the new price of a radio is $78. what was the original price?
Answer:
$65
Step-by-step explanation:
The original price was x.
x was increased by 20%, so the new price is
x + 20% of x = x + 0.2x = 1.2x
The new price is 1.2x
The new price is $78
1.2x = 78
x = 78/1.2
x = 65
Answer: $65
If Bill wants to find the average of his family's heights. If his brother is 60 inches tall, his
sister is 58 inches tall, his mother 64 inches tall, and his father 72 inches tall, how tall
does Bill need to be to have an average family height of at least 62 inches?
Answer: 56 inches
Step-by-step explanation:
a. 60+58+64+72=254 (Add the average of his family without including him)
a. 62x5=310 (The average times 5, cause there are 5 of them will get you the total number of inches)
b. 310-254=56 (Subtract the total number of the 5 of them with the 4 of them to find Bill's height)
you can check your answer by adding all their heights.
how many solutions does this equation have ? 2q-3q=-q
Equation have infinity solution
Here the equation is 2q-3q =-q.
After solving this we have
-q = -q
As Left-hand side is equal to the right-hand side.
Therefore whatever the value we will put for the q, the left and right hand side remains the same.
Therefore this equation has an infinity solution.
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y is inversely proportional to the square of x find an equation for y in terms of x
hmmm from the table, let's just pick one point since we know "y" is inversely proportional, so hmmm let's say hmm the point when x = 4 and y = 9/16
a)
[tex]\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{"y" inversely proportional to }x^2}{ {\LARGE \begin{array}{llll} y = \cfrac{k}{x^2} \end{array}}}\qquad \textit{we also know that} \begin{cases} x=4\\ y=\frac{9}{16} \end{cases} \\\\\\ \cfrac{9}{16}=\cfrac{k}{(4)^2}\implies \cfrac{9}{16}=\cfrac{k}{(16)}\implies \cfrac{9(16)}{16}=k\implies 9=k~\hfill \boxed{y=\cfrac{9}{x^2}}[/tex]
b)
when y = 16, what's "x"?
[tex]16=\cfrac{9}{x^2}\implies x^2=\cfrac{9}{16}\implies x=\pm\sqrt{\cfrac{9}{16}}\implies x=\pm \cfrac{\sqrt{9}}{\sqrt{16}}\implies \stackrel{positive~value}{x=+\cfrac{3}{4}}[/tex]
The variance of a sample of 196 observations equals 784. find the standard deviation of the sample. 14
The standard deviation of the sample = 28.
Defining standard deviation:An indicator of how much a set of values vary or are dispersed is the standard deviation. When the standard deviation is low, the values tend to fall within a narrow range of the set's mean, while when it is high, the values tend to deviate from that mean more.
Does a high standard deviation make sense?The standard deviation is a tool for calculating market volatility or the variation in asset prices from their mean. A high standard deviation indicates that prices are moving erratically and that an investment will indeed be risky. Low standard deviation indicates stable prices and low risk for investments.
According to the given data:A specimen of 196 observations has a variance of 784. determine the sample's standard deviation.
variance = 784
we have to find the stranded deviation:
stranded deviation = √variance
= √784
= 28
The standard deviation of the sample = 28.
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The given frequency distribution table shows the marks obtained by 32 students in a test.
Marks No. of Students
0-10 2
10-20 10
20-30 9
30-40 4
40-50 7
a. What is the class size?
b. What is the upper limit of the class interval 40-50?
c. What is the lower limit of the class interval 20-30?
d. What is the frequency of the class interval 10-20?
The class size is 10.
The upper limit of the class interval 40 - 50 is 50/
The lower limit of the class interval 20 - 30 is 20.
The frequency of class interval 10 - 20 is 10.
What is the frequency distribution?A class interval is a group of values that are put together for computation in a frequency distribution. An example of a class interval is 20 - 30. The class size is the difference between the upper limit and the lower limit of a class interval. The class size is the same for all the data set.
Class size = upper limit - lower limit
50 - 40 = 10
The upper limit is the biggest number in a class. The lower limit is the smallest number in a class. For example in the class 20 - 30, the upper limit is 30 and the lower limit is 20. The frequency of a distribution is the number of times that data within a class appears in the data set. For example, the class 40 -- 50 appears 7 times in the data set.
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Find an open sentence p(n) over the domain s = {13, 25, 37, 49} such that p(n) is true for half of the integers in s and false for the other half.
An open sentence p(n) over the domain s = {13, 25, 37, 49} such that p(n) is true for half of the integers in s and false for the other half is -
p(n) = {n : n = x², where x = 5,7}.
What is sets and its types?A set is a clearly defined group of objects. A capital letter is used to name and represent sets. In set theory, the elements of a set can be anything: people, writing of the letters, numbers, shapes, variables, and so on.
Roster from: A roster notation is the most common way to represent sets, with the elements of the sets enclosed in curly brackets and separated by commas. Set B, for example, is the accumulation of the initial five even numbers: 2,4,6,8,10.Set Builder Form: The set builder designation has a specific rule or statement that describes the common trait of all set elements. The set builder form is represented by a vertical bar with text describing the characteristics of the set's elements. A = k | k, for example, would be an even number, k 20.For the given question;
A set is given s = {13, 25, 37, 49}.
We have to write this set in the open sentence form/set builder form such that its true for half of the integers in s and false for the other half.
Thus,
p(n) = {n : n = x², where x = 5,7}.
Its true for 5,7 and false for other values;
For 5 we have 25 value in set S and for 7 we have its square 49 in the set.
Thus, the set in open sentence p(n) = {n : n = x², where x = 5,7}.
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Which number doesnt belong?
Answer:
-5
Step-by-step explanation:
-5 is the only integer. The other numbers have a decimal that repeats forever.
If two angles are congruent, this
means that they are
A. identical measurements
B. different measurements
C. always 90 degrees
the answer is A,
when 2 items are congruent it means they are the same or identical, eg "these triangles are congruent"
Suppose that two parents are both heterozygous for sickle cell anemia, which is an autosomal recessive disease. They have six children. Use the binomial theorem to determine the probability that three of the children have sickle cell anemia and three of the children are healthy. Round your answer to the nearest tenth.
The probability that three of the children have sickle cell anemia and three of the children are healthy 13.2%.
What is sickle cell anemia?Sickle cell anemia is an autosomal recessive condition, the trait is only visible in the homozygous state.
The parents are heterozygous( Aa × Aa), and the progeny (AA, Aa, Aa, and aa) have a normal probability of 3/4 and an affected probability of 1/4.
The binomial theorem can be used to calculate the probability of a normal and affected child:
Probability = n! / x! ( n! - x!) × pˣqⁿ⁻ˣ.
Here, n is the total children 6,
Let 'x' be the normal child
Then, n! - x! is the affected child.
Let 'p' is the normal child probability (= 3/4) and
Then, 'q' is affected child probability (= 1/4).
Substituting the values in the formula;
probability = (6!/3!×3!)×(3/4)³×(1/4)³
on solving
probability = 0.1318
probability = 13.18%
probability = 13.2% (approximately)
Therefore, the binomial theorem to determine the probability that three of the children have sickle cell anemia and three of the children are healthy is 13.2%.
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Help!!
Find the number of round-trip commuter rail tickets sold. (1) Thirty times as many round-trip tickets as 12-ride tickets were sold. (2) The total number of tickets sold represented 1440 rides.
Answer:
no. of round trip is 600
Step-by-step explanation:
lets be n is number of 12-ride tickets
and 30n is number of round trip
60n+12n=1440
72n=1440
n=20
30(20)=600
So,the answer of number of round trip is 600
WILL MARK BRAINLIST
Answer!!!
A horse eats 18 kg of corn in 12 days. How much does he eats in 9 days?
and also one more question
is this in
Inverse proportion
or
Direct proportion
Given △XYZ with vertices X(2, 4), Y(6, 0), and Z(7, 2) what is its image after the composition
Translation: (x, y) → (x + 12, y + 4)
Translation: (x, y) → (x − 5, y − 9)
Answer: i have same question somehelp
Step-by-step explanation:
Question content area the calculation for annual depreciation using the units-of-output method is:________
Content area the calculation for annual depreciation using the units-of-output method is yearly output.
What are the output method's units?
The productive output, units of production, or units of activity methods are other names for the units of output approach. Depreciation is computed based on the output of the equipment over a given period of time, taking into account the equipment's anticipated lifetime output units.What is the annual depreciation formula?
The formula for calculating the annual depreciation rate is (100 x Number of Periods in Year)/Number of Periods in Expected Life. The formula annual depreciation rate/number of periods in the year is used to determine the amount of depreciation for each period.Learn more about yearly output.
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Miguel tracks four stocks during the day. The changes for the stocks are shown in the table. A 2-column table with 4 rows. Column 1 is labeled Stock with entries A, B, C, D. Column 2 is labeled Change with entries negative three-fourths, 0.7, negative 1, 0.2. Which list shows the values of the changes in order, from least to greatest?
Stock A, Stock B, Stock C, Stock D
Stock B, Stock D, Stock A, Stock C
Stock C, Stock A, Stock D, Stock B
Stock D, Stock C, Stock B, Stock A
The list shows the values of the changes in order, from least to greatest as Stock C, Stock A, Stock D, and Stock B which is the correct option (C).
What is descending order?Descending order is defined as when numbers (or other items) are arranged from the largest numbers to the least numbers, it is said to be in descending order.
What is ascending order?Ascending order is defined as when numbers (or other items) are arranged from the least numbers to the largest numbers, it is said to be in ascending order.
We have been given four stocks during the day. The changes for the stocks are shown in the table.
-3/4, 0.7, -1, 0.2
Here the least numbers to the largest numbers, it is said to be in ascending order.
⇒ -1 < -3/4 < 0.2 < 0.7
Arrange the stock in increasing order.
Stock C, Stock A, Stock D, Stock B
Therefore, the list shows the values of the changes in order, from least to greatest as Stock C, Stock A, Stock D, and Stock B.
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Your question is incomplete, probably the missing part is:
Find the equation of the tangent line to the curve y = (8 ln(x))/x at the points (1, 0) and (e, 8/e).
The equation of the tangent line to the curve are [tex]y=x-1 , y=\frac{xe-e^{2}+8 }{e}[/tex].
It is required to find the solution.
What is a tangent ?A tangent is a line that touches the edge of a curve or circle at one point, but does not cross it. The tangent line to a curve at a point is that straight line that best approximates (or “clings to”) the curve near that point.
Given:
[tex]y=8\frac{lnx}{x} \\\\y'=8(\frac{1/x*x-lnx*1}{x^{2} } \\\\y'=\frac{1-lnx}{x^{2} }[/tex]
Now, we find the slope of the tangent by inserting the point (1,0) into the derivative.
[tex]m_{tangent}=\frac{1-ln1}{1^{2} }\\\\m_{tangent}=1-0/1\\\\m_{tangent} =1[/tex]
We can now find the equation, because we know the slope and a point (1, 0).
[tex]y-y_{1} =m(x-x_{1} )\\[/tex]
y-0=1(x-1)
y=x-1
We can now find the equation, because we know the slope and a point (e, 8/e).
[tex]y-y_{1} =m(x-x_{1} )\\\\y-8/e=1(x-e)\\\\y=\frac{xe-e^{2}+8 }{e}[/tex]
Therefore, the equation of the tangent line to the curve are [tex]y=x-1 , y=\frac{xe-e^{2}+8 }{e}[/tex].
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Juliana wrote -16+x=8 on the board
Answer: x = 24
Step-by-step explanation:
-16 + 24 = 8
Can I get some help please
Step-by-step explanation:
1
A: is a function since 2 different x values can have the same y value
B: not a function since the x value 0 gives different values which makes it not a function.
C: since 4 corresponds to 2 different y values it is not a function.
D and E are not function since there are different y values for the same x value.
2: all of the answers are determined by the vertical line test.
A NOT A FUNCTION
B NOT A FUNCTION
C A FUNCTION
D UNCLEAR
E NOT A FUNCTION
hope this helps and make sure to ask any qs if you doubt anything :)
Round 19.8 to 1 significant figure
Answer:
20
Step-by-step explanation:
the 0 is not significant since it is not sandwiched between 2 sigfigs and is not the last digit after a decimal
