Given:
The expression is
[tex](5.1\times 10^{-15})-(2.3\times 10^{-14})[/tex]
First steps of Iliana and Rod are given.
To find:
Which person wrote a correct possible first step.
Solution:
We have,
[tex](5.1\times 10^{-15})-(2.3\times 10^{-14})[/tex]
If we want -15 in the power of 10, then
[tex](5.1\times 10^{-15})-(2.3\times 10^{-14-1+1})[/tex]
[tex](5.1\times 10^{-15})-(2.3\times 10^{-15}\times 10)[/tex]
[tex](5.1\times 10^{-15})-(23\times 10^{-15})[/tex]
Therefore, first step of Rod is incorrect.
If we want -15 in the power of 10, then
[tex](5.1\times 10^{-15+1-1})-(2.3\times 10^{-14})[/tex]
[tex](5.1\times 10^{-14}\times 10^{-1})-(2.3\times 10^{-14})[/tex]
[tex](\dfrac{5.1}{10}\times 10^{-14})-(2.3\times 10^{-14})[/tex]
[tex](0.51\times 10^{-14})-(2.3\times 10^{-14})[/tex]
Therefore, first step of Iliana is correct.
Answer:
B "Only Iliana is correct because Rod incorrectly equated 2.3 times 10 Superscript negative 14 and 0.23 times 10 Superscript negative 15."
explanation:
Line g has an equation of y=-3/2x – 8. Line w, which is parallel to line g, includes the
point (4, -3). What is the equation of line w?
Answer:
y = -3/2x + 3
Step-by-step explanation:
If two lines are parallel to each other the slopes are the same.
So line w's slope would be the same as line g's -3/2
Now all we have to do is pug in the points to find the y-intercept.
-3 = -3/2(4) + b (b represents the y-intercepts)
-3 = -6 + b (add 6 on both sides)
3 = b
y = -3/2x + 3 is the equation for w.
Which of the following has the lowest unit price?
F. 20oz : $9.00
G. 16oz : $7.39
H. 12oz : $5.29
I. 5oz : $2.39
5(x+4)> 2x-7 solve the inequality
Answer:
-9＞x
Step-by-step explanation:
5(x+4)＞2x-7
5x+20＞2x-7
5x+20＞2x-7
+7 +7
5x+27＞2x
↓
5x+27＞2x
-5x -5x
27＞-3x
↓
27＞-3x
-3 -3
= -9＞x
HURRYY!!!!! Which algebraic expression means “three more than a number squared”? 2 n + 3 2 n minus 3 n squared + 3 n squared minus 3
Answer: (n+3)^2
Step-by-step explanation:
This is the answer lol
Answer:
C
Step-by-step explanation:
True or false? The graph represents a function
Answer:
False. This is not a function.
Step-by-step explanation:
By using the vertical line test, it shows that this graph is not a function. The imaginary vertical line would go through the graph twice. To be a function, the imaginary vertical line can only go through once.
which of the following statements is false
Answer:
the second one is false
Answer:
Answer B is false.
Step-by-step explanation:
The left side "2" is less than the right side "8" , which means that the given statement is false.
13. If I || m, find the values of x and y.
(7x+12)
(12x-28)
(9y - 77)
Answer:
x=8 y=21
Step-by-step explanation:
7x+12=12x-28
x=8
plug in x
12x8-21=68
68+9y-77=180
y=21
The values of [x] and [y] will be 8 and 21 respectively.
What does the term " l || m " represents?This term indicates that the line 'l' is parallel to the line 'm'.
Given is the image and the measurement of angles.
It can be seen in the figure that, ∠(7x + 12) and ∠(12x - 28) from alternate interior angles as line 'l' and 'm' are parallel. These angles will be equal to each other. Therefore, we can write -
7x + 12 = 12x - 28
12x - 7x = 12 + 28
5x = 40
x = 8
Now, ∠(12x - 28) and ∠(9y - 77) form a straight angle. Therefore, we can write -
(12x - 28) + (9y - 77) = 180
(12 x 8 - 28) + (9y - 77) = 180
68 + 9y - 77 = 180
9y = 180 + 9
9y = 189
y = 21
Therefore, the values of [x] and [y] will be 8 and 21 respectively.
To solve more questions on angle measurements, visit the link below-
https://brainly.com/question/10893902
#SPJ2
[Image needed for complete question is attached with the answer]
The Homerun Hitter’s Academy charges thirty-five dollars per hour for batting lessons, with a registration fee of fifteen dollars per year. Janice’s parents paid $155 in the month of August.
Answer:
h==4
Thank me later :)
Answer:
15+35h=155
h=4
Step-by-step explanation:
What does E =mc2 equal
Answer:
E=mc2 ................
E=mc2 is Energy equals mass times the speed of light squared.
Mind-BLOWN lol
What is the goal of solving an equation
Answer:
To get your variable to one side of the equation and a number on the other side to solve your problem.
What is the equation and the slope of each of the following lines ?
Answer:
create a graph
Step-by-step explanation:
like this
X Y
-3
0
3
and solve for y
The sides of a triangle are as follows:
AB = 10 in
BC = 14 in
AC = 8 in
Order the angles of the triangle from smallest to biggest.
<A, <C, <B
<B, <A, «C
<B, <C,<A
<A, <B, <C
Answer:
<B,<C,<A
Step-by-step explanations:
If the function f(x) = (2x - 3) is transformed to g(x) = (-2x - 3), which type of transformation occurred?
OA.
vertical shift
OB.
vertical reflection
O C.
horizontal reflection
OD.
horizontal shift
At a bicycle shop, all the bicycles are on sale for $25 off the regular price. If p represents the regular price in dollars of a bicycle, which expression gives the sale price in dollars?
A bike shop has 11 1111 red bikes, 3 33 blue bikes, 4 44 orange bikes, and 12 1212 silver bikes. For every 1 11 orange bike, there are 3 33 _ _ _ _ _ _ _ _ _ _________\_, \_, \_, \_, \_, \_, \_, \_, \_. Choose 1 answer: Choose 1 answer: (Choice A) A Red bikes (Choice B) B Blue bikes (Choice C) C Silver bikes
Answer:
C. Silver bikes
Step-by-step explanation:
Given that:
Number of red bikes at the bike shop = 11
Number of blue bikes at the bike shop = 3
Number of orange bikes at the bike shop = 4
Number of silver bikes at the bike shop = 12
Let us find the ratio of each bike with orange bikes to find the answer.
Orange bikes: Red bikes = 4 : 11
i.e. for every 4 orange bikes, there are 11 red bikes.
Orange bikes: Blue bikes = 4 : 3
i.e. for every 4 orange bikes, there are 3 blue bikes.
Orange bikes: Silver bikes = 4 : 12 = 1 : 3
i.e. for every 1 orange bike, there are 3 silver bikes.
Therefore, the answer is:
C Silver bikes
Someone help me please I need to Convert 72F to C (Rounded to the nearest tenth).
Answer:
22.2°C
Step-by-step explanation:
(72°F − 32) × 5/9 = 22.222°C
A 22.5 ounce candle burns at the rate of one ounce every 5 hours. write an equation for the amount of candle left
Answer:
y = 22.5 - 0.2t
Step-by-step explanation:
Given;
total number of candle, n = 22.5 ounce
Rate of candle burn, R = 1 ounce per 5 hours [tex]= \frac{1 \ ounce}{5 \ hours} = 0.2 \ \frac{ounce}{hour}[/tex]
The amount of candle left = total initial value - amount burnt
let the amount let = y
y = 22.5 - 0.2t
where;
t is the time in which the candle is burnt
Thus, the equation for the amount of candle left is given by;
y = 22.5 - 0.2t
f (x) = cx + 3
In the function above, c is a constant. If f (1) = 1, what is the value of f (-4) ?
If f(1) = 1 that means c is -2 because when you substitute x = 1 and when c = -2, you'll get f(1) = -2(1)+3 = -2+3 = 1
So the constant c is -2 and that means the value of f(-4) is
f(-4)=-2(-4)+3=8+3=11
Thus, the value of f(-4) is 11.
About why does "c" have to be -2, here's the proof.
Given y = f(x), therefore.
y=cx+3
Since when x = 1 and y = 1, then Substitute x = 1 and y = 1, thus 1 = c+3
1 - 3 = c and therefore, -2 = c #
So this is the proof that c = -2
MATHPHYS HELP
1. Felicia wants to know the gas milgage of her new car. She starts recording how much gasoline
she puts into the car, and how many miles she travels before the warning light comes on and
she need to add more gas. A table of her data is shown below.
Gas (gallons)
1 4 8 10
Miles
19 84 160 203 218
a. Consider miles M as a function of gallon and use data points to find a linear function
to model the data.
b. Consider gallons G as a function of miles M and use data points to find a linear function
to model the data.
C. How do the functions of (a) and (b) compare? Are they both useful models?
d. What could be some reasons why the points do not fit perfectly with your equation?
Step-by-step explanation:
(a) If M is a function of G (M is the y-axis and G is the x-axis), then the linear function is approximately:
M = 20G
(b) If G is a function of M (G is the y-axis and M is the x-axis), then the linear function is approximately:
G = M / 20
(c) The two functions are inverse of each other. The first function tells us how many miles she can drive with a certain number of gallons. The second function tells us how many gallons she needs to drive a certain number of miles.
(d) There are multiple things that affect fuel mileage. These include:
Speed - idling at a red light or driving at high speeds will lower your mileage.
Weather - high winds will lower your mileage.
Weight - adding weight (even the weight of the gas itself) will lower your mileage.
Tires - low pressure in the tires will lower your mileage.
The given table is an illustration of a linear scatter plot, where:
[tex]M = 19.9G -0.9[/tex].[tex]G = \frac{10}{199}M + \frac{9}{199}[/tex].M and G are both inverse functions(a) M as a function of G
From the table, we have the following points:
[tex](G_1,M_1) = (1,19)[/tex]
[tex](G_2,M_2) = (11,218)[/tex]
Calculate the slope (m)
[tex]m = \frac{M_2 - M_1}{G_2 - G_1}[/tex]
[tex]m = \frac{218-19}{11-1}[/tex]
[tex]m = \frac{199}{10}[/tex]
[tex]m = 19.9[/tex]
The equation is then calculated using the following linear equation formula:
[tex]M = m(G - G_1) + M_1[/tex]
[tex]M = 19.9(G - 1) + 19[/tex]
[tex]M = 19.9G - 19.9 + 19[/tex]
[tex]M = 19.9G -0.9[/tex]
(b) G as a function of M
From the table, we have the following points:
[tex](M_1,G_1) = (19,1)[/tex]
[tex](M_2,G_2) = (218,11)[/tex]
Calculate the slope (m)
[tex]m = \frac{G_2 - G_1}{M_2 - M_1}[/tex]
[tex]m = \frac{11-1}{218-19}[/tex]
[tex]m = \frac{10}{199}[/tex]
The equation is then calculated as follows:
[tex]G = m(M - M_1) + G_1[/tex]
[tex]G = \frac{1}{19.9}(M - 19) + 1[/tex]
[tex]G = \frac{1}{19.9}M - \frac{19}{19.9} + 1[/tex]
[tex]G = \frac{1}{19.9}M - \frac{19-19.9}{19.9}[/tex]
[tex]G = \frac{1}{19.9}M - \frac{-0.9}{19.9}[/tex]
[tex]G = \frac{1}{19.9}M + \frac{0.9}{19.9}[/tex]
[tex]G = \frac{10}{199}M + \frac{9}{199}[/tex]
(c) How (a) and (b) compares
Functions (a) and (b) are both inverse functions of one another;
Because they both represent inverse functions, both are useful models
(d) Reasons points do not fit in the equation
Some reasons why the points do not fit are:
Short tripsVehicle break downSpeedHeavy breaksWhen any of these happens, the mileage will be affected because she won't be able to capture the accurate data by the time she continues her trip.
Read more about linear scatter plots at:
https://brainly.com/question/2764328
Solve -4 x (- 10.5 )
40.5
14.5
42.4
42
When converted to speeds, which list is in order from slowest to fastest?
1.) 17 miles in 2 minutes;
26 miles in 4 minutes;
33 miles in 6 minutes;
60 miles in 8 minutes
2.) 17 miles in 2 minutes;
60 miles in 8 minutes;
26 miles in 4 minutes;
33 miles in 6 minutes
33 miles in 6 minutes;
26 miles in 4 minutes;
60 miles in 8 minutes;
3.) 17 miles in 2 minutes
60 miles in 8 minutes;
33 miles in 6 minutes;
26 miles in 4 minutes;
Answer:
2
Step-by-step explanation:
im not 100 percent but i believe it is 2
I need anyone to plz answer this very soon
Answer:
29°
Step-by-step explanation:
[tex]In\: \triangle CDE\\\\
m\angle C + m\angle D + m\angle E = 180\degree \\\\
48\degree + 74\degree + m\angle E = 180\degree \\\\
122\degree + m\angle E = 180\degree \\\\
m\angle E = 180\degree- 122\degree \\\\
\huge \red {m\angle E = 58\degree} \\\\
\because \triangle ABC \cong \triangle DEC... (given) \\\\
\therefore \angle B \cong \angle E.. (CACT) \\\\
\therefore m\angle B = m\angle E\\\\
\therefore 2x = 58\degree \\\\
\therefore x =\frac{58\degree}{2}\\\\
\huge \orange {\boxed {\therefore x = 29\degree}}
[/tex]
Multiply the following:
(−45)(26)
Answer:
-1170
Step-by-step explanation:
I hope this helps! :)))
Answer:
-45*26-1170
Step-by-step explanation:
Can someone help me with this? I don’t understand this that well.
Thank you.
(P.S, will give Brainliest to whomever gets it correct first.)
Answer: 1, 3, and 5 I think
Step-by-step explanation:
Rational numbers are numbers that can be written as quotients
in the problem above 2 1/3 is the. answers -> quotient divisor greatest common factor dividend multiple ?
Answer:
I am pretty sure it is 1 because you can divide when it is in inproper for
hint it is 7/3
Step-by-step explanation:
What is the factor of 3x2-9x-12?
Answer: 3x² - 9x - 12 =
3(x² - 3x - 4) =
3(x² + x - 4x - 4) =
3(x(x+1)-4(x+1)) =
3(x+1)(x-4)
Step-by-step explanation:
Answer:
[tex]3 \times 2 - 9x - 12 \\ = 6 - 9x - 12 \\ = 6 - 12 - 9x \\ = - 6 - 9x \\ = - 3(2 + 3x)[/tex]
I hops this helps you ☺️☺️Thank you ☺️☺️
8th grade math: Mr. Giles has 6 horses; each horse eats about 85 pounds of feed per year.
How many pounds of feed will 6 horses eat in 1 years?
Answer:
510 pounds
Step-by-step explanation:
6x85=510
given the functions
question in attachment
This should be easy but if I stay on this page to long it will long me out and lock the question :/
Answer:
-4+(-9)=-4-9 because we ignore the minus sign
Step-by-step explanation:
Hope it help you ^_^
Solve for x.
32 – 8 < 23
OR
4x + 26 > 6
Answer:
32-8< 23
24< 23
4x + 26>6
4X +26> 6 + 26 move the constant to the right
4x =32 divide both sides by 4
x= 8
Step-by-step explanation: