R, S, and T are collinear . Then 13 is the length of RS.
What do collinear points mean?
Collinear points are those that are situated along a single or shared straight line. In Euclidean geometry, two or more points are said to be collinear if they are located on a line either near or far from one another.The question to know
RS + ST = RT
RS = w + 1 , ST = w - 1
RT = 18
2w + 1 + w - 1 = 18
3w = 18
w = 18/3
w = 6
RS = 2 * 6 + 1 = 13
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please help g(x) = f(x + 4) - 10 = 9^(x + 4) - 10
The expression for g(x) is 9x + 26
What is a function?A function can be defined as an expression, law or rule explaining the relationship between an independent and dependent variable.
Given the function;
g(x) = f(x + 4) - 10
Where f = 9
Substitute into the function;
g(x) = 9( x + 4) -10
expand the bracket
g(x) = 9x + 36 - 10
collect like terms
g(x) = 9x + 26
Thus, the expression for g(x) is 9x + 26
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The ratio of the number of footballs to the number of baseballs is, The ratio of the number of baseballs to the number of footballs i
The temperature at noon is 75 degrees. The temperature drops 3 degrees every half hour. What is the temperature at 4 p.m.
Answer:51 degrees
Step-by-step explanation:
At noon the temperature is 75 degrees
the temperature drops 3 degrees every half hour.
First solve for time elapsed between noon and 4, which is 4 hours.
Next, we can change our rate to be in terms of full hours instead of half hours using the fact that 1 hr = 2 half hours, so the temperature drops 6 degrees every hour.
Four hours have elapsed so multiply 6*4 = 24 degrees and then subtract it from the starting 75
75 - 24 = 51.
What values of b satisfy 3(26 + 3)² = 36?
The numeric value of the b is 0.23 which satisfy the given equation.
According to the statement
We have to find that the value of the b.
So, For this purpose, we know that the
The numeric value refers to the worth of each digit depending on where it lies in the number.
From the given information:
The equation is a
3(2b + 3)² = 36
then to find the value of b rearrange the terms then
(2b + 3)² = 12
(2b + 3) = \sqrt{12}
(2b) = \sqrt{12} -3
then
b = \sqrt{12} -3/ 2
b = 3.46 - 3/2
b = 0.46/2
b = 0.23.
So, The numeric value of the b is 0.23 which satisfy the given equation.
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-2/-5+4/3 .,,,,,,,, nr
P
Answer:
1.73 repeated
Step-by-step explanation:
What multiplicity would you expect in a 1h nmr spectrum for the indicated proton(s)?
a. doublet
b. triplet
c. singlet
d. quintet
e. quartet
The multiplicity that would be in a 1H NMR spectrum for the indicated proton(s) is triplet.
The correct answer is an option (b)
NMR spectroscopy is used to examine the structure of molecules.
Another type of additional data available from 1H NMR spectroscopy is called multiplicity.
It is useful because it reveals how many hydrogens are on the next carbon in the structure.
1H NMR is a technique to confirm the structure of organic compounds or those that contain protons.
In 1H NMR technique, multiplicity provides information about the number of proton neighbors for a particular proton atom or group of atoms (neighboring typically refers to atoms within 3 bonds).
A solution-state proton spectrum is relatively fast to acquire, compared with other nuclei, and a lot of information about the structure of a compound can be deduced from it.
Therefore, the multiplicity that would be in a 1H NMR spectrum for the indicated proton(s) is triplet.
The correct answer is an option (b)
Solve for x: −1 < x + 3 < 5 2 < x < 8 −4 < x < 2 2 > x > 8 −4 > x > 2
WILL MARK BRAINLIEST
The solution to the inequality where the inequality expression is given as: -1 < x + 3 < 5 is -4 < x < 2
How to determine the solution to the inequality?The inequality expression is given as:
-1 < x + 3 < 5
Subtract 3 from all parts of the inequality expression
So, we have:
-3 -1 < x + 3 -3 < 5 - 3
Evaluate the difference and sum
So, we have:
-4 < x < 2
Hence, the solution to the inequality where the inequality expression is given as: -1 < x + 3 < 5 is -4 < x < 2
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I need help w this asap
Answer: 6.8*10⁻⁴=0.00068
Step-by-step explanation:
[tex]6.8*10^{-4}=0.00068[/tex]
1.) If 2/5 of x is 20 what is 3/10 of x?
2.) if 2/3 of y is 24 what is 5/6 of y?
Answer:
1. 15 2. 30
Step-by-step explanation:
1. (2/5)x = 20
20/(2/5) = x
x = 50
50 × (3/10) = 15
2. (2/3)y = 24
24/(2/3) = y
y = 36
36 × (5/6) = 30
Solve for z.
-z/5 - 37 = -18
Answer:
z = -95
explanation:
245 fraction is 7 50 time 128 frction is 53 100
Answer: 116 61/100 miles
Step-by-step explanation: Road trip is 245 7/50 miles long
They have already driven 128 53/100
Those are mixed fraction. To facilitate the calculation, we should transform them into improper fractions (numerator > denominator)
245 7/50 = (50*245+7)/50 = 12257/50
128 53/100 = 12853/100
To find out much farther they have to drive, we need to subtract how much they have already driven to the total lenght of the trip:
12257 - 12853 = 24514 - 12853 = 11661
50 100 100 100
They still have 11661/100 to drive. In mixed fraction:
116 61/100 miles
The graph of the function f(x) = -(x + 3)(x - 1) is shown
below.
-6 -4-2
6
A
2
-2
-4
-6-
y
2
4
6
→
X
What is true about the domain and range of the function?
The domain is all real numbers less than or equal to
4, and the range is all real numbers such that -3 ≤x≤
1.
The domain is all real numbers such that -3 ≤ x ≤ 1,
and the range is all real numbers less than or equal to
4.
The domain is all real numbers, and the range is all
real numbers less than or equal to 4.
The domain is all real numbers less than or equal to
4, and the range is all real numbers.
Choose 5 ordered pairs whose second component is the opposite of the first component.
The 5 ordered pairs whose second component is the opposite of the first component are (-1,1), (-2,2), (-3,3), (-4,4) and (-5, 5).
Ordered pairs:
An ordered pairs is a composition of the x coordinate and the y coordinate (ordinate), having two values written in a fixed order within parentheses.
It can be written as (a,b).
Here
a represents the x coordinate and
b represents the y coordinate.
It helps to locate a point on the Cartesian plane for better visual comprehension.
Given:
The second component is the opposite of the first component.
Here we need to find the 5 ordered pairs for that.
For the given statement,
Let x be the first component and y be the second component.
So it can be written as,
=> y = -x
So, the five ordered pairs are,
=> 1 = -1
=>2 = -2
=> 3 = -3
=> 4 = -4
=> 5 = -5
So, the ordered pairs are,
(x,y) => (-1,1), (-2,2), (-3,3), (-4,4) and (-5, 5).
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One week, Kayden earned $146.00 at his job when he worked for 10 hours. If he is
paid the same hourly wage, how many hours would he have to work the next week to
earn $43.80?
Answer:
3 hours
Step-by-step explanation:
you take the amount that was earned and divide it by the amount he works.
[tex]\frac{146.00}{10} = 14.6 per hour.[/tex]
then to find the number of hours he would have to work next week to earn $43.80 you divide the amount per hour by the amount he would have to work next week.
[tex]\frac{43.80}{14.6} = 3 hours[/tex]
Beginning with the graph of f(x) = x2, what transformations are needed to form g of x equals one third times the quantity x plus 3 end quantity squared minus 3 question mark?
The graph of g(x) is narrower than f(x) and is shifted to the right 3 units and down 3 units.
The graph of g(x) is narrower than f(x) and is shifted to the left 3 units and down 3 units.
The graph of g(x) is wider than f(x) and is shifted to the left 3 units and down 3 units.
The graph of g(x) is wider than f(x) and is shifted to the right 3 units and down 3 units.
Answer: The graph of g(x) is wider than f(x) and is shifted to the left 3 units and down 3 units.
Step-by-step explanation: I took the quiz and got it right
The function f(x) = x² is transformed and became g(x) = 3(x+2)² -1 has the graph of g(x) is wider than f(x) and is shifted to the left 3 units and down 3 unit.
What are graph transformations ?By applying suitable graph transformation we can shift, stretch, shrink, a given graph along x and y axis.
According to the given question given a graph f(x) = x² and g(x) is 3(x+3)² - 3.
Let us break transformations of g(x) one by one.
g(x) = 3f(x) which implies it's amplitude or vertical stretch is increased by a factor of 3.
Now, g(x) = 3(x+3)² implies the graph is shifted towards left by 3 units as x + 3 = 0 is x = -3.
Now, g(x) = 3(x+3)² - 3 implies that the whole graph has been shifted 3 units down along the y axis.
Hence the graph of g(x) is wider than f(x) and is shifted to the left 3 units and down 3 units.
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Help me figure out this piecewise question!! 60 points!
Check the picture below.
write 7.171717 as a mixed number
Answer:
7 17/99
Step-by-step explanation:
A 4-cup container of window cleaner costs $4. 48. What is the price per fluid ounce?
Answer:
14 cents
Step-by-step explanation:
because 4.48 divided by 4 = 1.12 BUT since there are 8 ounces in a cup 1.12 divided by 8 = 0.14
in a group of 60 people, 27 like cold drinks and 42 like hot drinks and each person likes at least one of the two drinks. how many like both coffee and tea?
Answer:
9
Step-by-step explanation:
A circular plate has a circumference of 34.54in. What is the area? Use 3.14 for pie and round to the nearest square inch.
The area of the circular plate is 9234 inches²
How to find area of the circular plate?The plate is circular and have a circumference of 34.54 inches.
Hence, let's find the radius of the circular plate using the circumference of the circular plate.
circumference of the circular plate = 2πr
where
r = radiusTherefore,
34.54 = 2π × r
r = 34.54 / 2π
r = 17.27π
Therefore,
area of the circular plate = πr²
area of the circular plate = π × ( 17.27π)²
area of the circular plate = π³ × 298.2529
area of the circular plate = 3.14³ × 298.2529
area of the circular plate = 9233.65447952
area of the circular plate = 9234 inches²
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Isabella and Tom leave from the same location at
9:45 AM. Isabella drives north at a constant speed of
65 kilometers per hour, and Tom drives south at a
constant speed of 77 kilometers per hour.
25
At what time will Isabella and Tom be 639 km apart?
A) 1:15 PM
B) 2:15 PM
C) 3:30 PM
D) 4:30 PM
18 x 4/3 please help me. ☕
Answer:
24
Step-by-step explanation:
18/3 = 6
6*4 = 24
hi
18 = 6*3
so 18* 4/3 = 6*3*4 /3 = 24
Jose earned 45 points in a video game. He lost 40 points, earned 81 points, then lost 35 more points. Enter and evaluate an expression to find his final score in the video game.
What’s exponent gives you 8
Answer:
There are many exponents that will give you 8.
I will list a few for you. :)
→ 2³
→ 8¹
→ [tex]\sf 4^{1.5}[/tex]
Hope this helps.
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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Frankie plays 2/7 of a song on his guitar in 3/4 of a minute How long will it take him to play the entire song?
Answer:
1.25
Step-by-step explanation:
Calculate the acceleration of a 40 kg crate of softball gear when pulled sideways with a net force of 200 n
Answer:
5 m/s²
Step-by-step explanation:
To find the acceleration we apply Newton's second law of motion
F = ma where F is the net force in Newtons, m the mass of the object (kg) and a the acceleration in meters/second² (m/s²)
Given
F = 200 N
m = 40 kg
we have 200 = 40a
So a = 200/40=5 m/s²
How much will a person pay for 1.7 pounds of bananas at a price of $1.36 per pound?
Answer:
A person will pay $2.31 for a 1.7 pound of banana.
Step-by-step explanation:
1.7 pounds of bananas x $1.36 per pound = $2.31
Need help with the introduction to probability lesson, photo is attached below.
Answer:
For A.) there are only 2 so 2/8 would become0.25
B.) 4 even number 4/8= 1/2 = 0.50
C.) 1 Red 1/8= 0.125
D.) 5 Not blue 5/8 = 0.625
E.)3 Blues 3/8= 0.375
F.) 0 because there are no 9 so it's not possible
Step-by-step explanation:
What is the solution to -3/4 X +2<-7
Answer:
Pretty sure it’s x>12
Step-by-step explanation:
Answer x > 12
thats the whole thing