Answer:[tex]x=7, \ y=-2[/tex]
Step-by-step explanation:
Given
Equations are [tex]3x-y=23[/tex] and [tex]2x+3y=8[/tex]
take [tex]3x-y=23[/tex]
[tex]y=3x-23[/tex]
Put the value of y in another equation
[tex]\Rightarrow 2x+3(3x-23)=8\\\Rightarrow 2x+9x-69=8\\\Rightarrow 11x=77\\\Rightarrow x=7[/tex]
Put the value of x in y
[tex]y=3(7)-23=21-23=-2[/tex]
Hence, [tex]x=7, \ y=-2[/tex]
45,678 in unit form
Calculate the SQRT485 Express answer to nearest hundredth.
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Answer: 22.02
Explanation:
I hope this helped!
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- Zack Slocum
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lol plss we did this literally a week ago and I forgot how to do it
Answer:
okay so i believe its area (if its not ill comment the right answer) so you just do the height (12) times the length (12) giving you 144
Step-by-step explanation:
A number greater than or equal to 41.
Answer:
42
Step-by-step explanation:
¯\_(ツ)_/¯
What is the lateral surface area of this net
Help!!!
9514 1404 393
Answer:
720 square feet
Step-by-step explanation:
The lateral area is the area of the central rectangle of the net. It is 12+12+12 = 36 feet long and 20 ft wide.
The lateral area is (36 ft)(20 ft) = 720 ft².
dilation of 1.5 about the origin
Answer:
Step-by-step explanation:
use the rule they tell you of 1.5
so (x,y) ⇔1.5(x,y)
w = (2,0)
x = ( 0,2)
y = (-2, 1)
z = (0, -2)
1.5(x,y)
W' = (3,0)
X'= (0, 3)
Y' = ( -3, 1.5)
Z' = (0, -3)
nice :)
An encyclopedia is 8 inches long, 11 inches tall and 4 inches wide. What is the volume of a set of encyclopedias that has eight books?
Answer:
8 in*11 in*4 in*8 encyclopedias= 2,816 in3
PLEASE I NEED HELP CLICK ON THIS IMAGE
Answer:11
Step-by-step explanation:smart
please help me to understand. Thanks.
Answer:
B. {(x, y): y = x²}
Step-by-step explanation:
A function is a graph where every input (x-value) has one and only one output (y-value). In other words if the value for x=2, there will only be one corresponding point for y. For the function in B, that y-value would be 4. Both A and D, solve for y, means taking the square root which leaves a +/- x-value. C is absolute value of y, which means the positive and negative values for y would have the same point. Only choice B has x-values corresponding to a singular y-value. If you can remember what these graphs look like you can test if they are functions based on the vertical line test.
Which statements are correct about the average rate of change for the function f(x) = x2 + 9x + 18 ?
Answer:
Presumably this is a multiple choice question, and without seeing the potential answers, we can't tell you which ones are correct.
A few things can however be said about this function:
1) It describes a parabola that extends upward infinitely. We can see this because it's in the classic format ax² + bx + c, and all terms are positive.
2) We can find the x-intercepts by solving for zero. In this case we can do that by factoring it:
x² + 9x + 18 = 0
x² + 3x + 6x + 18 = 0
x(x + 3) + 6(x + 3) = 0
(x + 6)(x + 3) = 0
So the x intercepts occur at (-6, 0) and (-3, 0)
3) we can find its vertex by taking its derivative and solving for zero:
f'(x) = 2x + 9
0 = 2x + 9
x = -4.5
We can then plug that coordinate into the original function to find the y coordinate:
f(x) = x² + 9x + 18
f(-4.5) = 20.25 - 40.5 + 18
= -2.25
So the vertex is at (-4.5, -2.25)
4) As mentioned, the derivative of f(x) is f'(x) = 2x + 9. The integral is:
x³ / 3 + 9x² / 2 + 18x + C
what is the slope of the line !?!?!
Answer:
Slope is -2
Step-by-step explanation:
A pizza pan is removed at 9:00 PM from an oven whose temperature is fixed at 450°F into a room that is a constant 70°F. After 5 minutes, the pizza pan is at 300°F.
(a) At what time is the temperature of the pan 125°F?
(b) Determine the time that needs to elapse before the pan is 150°.
(c) What do you notice about the temperature as time passes?
Answer:
A) It will get to a temperature of 125°F at 9:19 PM
B) It will get to a temperature of 150°F at 9:16 PM
C) as time passes temperature approaches the initial temperature of 450°F
Step-by-step explanation:
We are given;
Initial temperature; T_i = 450°F
Room temperature; T_r = 70°F
From Newton's law of cooling, temperature after time (t) is given as;
T(t) = T_r + (T_i - T_r)e^(-kt)
Where k is cooling rate and t is time after the initial temperature.
Now, we are told that After 5 minutes, the temperature is 300°F.
Thus;
300 = 70 + (450 - 70)e^(-5k)
300 - 70 = 380e^(-5k)
230/380 = e^(-5k)
e^(-5k) = 0.6053
-5k = In 0.6053
-5k = -0.502
k = 0.502/5
k = 0.1004 /min
A) Thus, at temperature of 125°F, we can find the time from;
125 = 70 + (450 - 70)e^(-0.1004t)
125 - 70 = 380e^(-0.1004t)
55/380 = e^(-0.1004t)
In (55/380) = -0.1004t
-0.1004t = -1.9328
t = 1.9328/0.1018
t ≈ 19 minutes
Thus, it will get to a temperature of 125°F at 9:19 PM
B) Thus, at temperature of 150°F, we can find the time from;
150 = 70 + (450 - 70)e^(-0.1004t)
150 - 70 = 380e^(-0.1004t)
80/380 = e^(-0.1004t)
In (80/380) = -0.1004t
-0.1004t = -1.5581
t = 1.5581/0.1004
t ≈ 16 minutes.
Thus, it will get to a temperature of 150°F at 9:16 PM
C) As time passes which means as it approaches to infinity, it means that e^(-kt) gets to 1.
Thus,we have;
T(t) = T_r + (T_i - T_r)
T_r will cancel out to give;
T(t) = T_i
Thus, as time passes temperature approaches the initial temperature of 450°F
GEOMETRY!!!! Will give brainliest
what is the volume of the cylinder?
A:703.2ft3
B:50.2ft3
C:602.9ft3
D: 653.1ft3
PLEASE HELP ME OUTTT
PLS HELP WILL MARK BRAINLEST
Answer:
uhhhhhhhhh help with what ?
Tasha needs to eat no more than 1,800 calories per day. Each scoop of ice
cream contains 100 calories. How many scoops of ice cream can Tasha eat
for dessert tonight if she already consumed 1,450 calories today?
Answer:
3.5 or 3 1/2
Step-by-step explanation:
1,800-1,450=350
She has 350 calories left to consume 1,800 in total.
There are 3.5 100 calories in 300.
The awnser will be 3.5 or 3 1/2.
She can have 3 1/2 of ice cream.
Hope this helped and you understood :) :)
Answer:
3.5[3 1/2]
Step-by-step explanation:
100 go's into 1450 3 times to make 1750 witch leaves 50 left and that is half of 100
Quadrilateral A'B'C'D' Is the image of quadrilateral ABCD under a dilation.
What is the scale factor of the dilation?
Answer:
Scale factor = [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Formula for the dilation to be used,
Scale factor = [tex]\frac{\text{Dimension of the image}}{\text{Dimension of the original}}[/tex]
= [tex]\frac{A'B'}{AB}[/tex]
= [tex]\frac{1}{4}[/tex]
Therefore, scale factor by which quadrilateral ABCD has been dilated to form image quadrilateral A'B'C'D' is [tex]\frac{1}{4}[/tex].
8. Determine the area of a sector
with a central angle of 42° in a
circle with radius 3 inches.
NEED IT ASAP
Answer:
[tex]\boxed {\boxed {\sf A \approx 3.3 \ in^2}}[/tex]
Step-by-step explanation:
Since we are given the central angle in degrees, we should use the following formula for sector area.
[tex]A= \frac {\theta}{360}* \pi r^2[/tex]
The angle is 42 degrees and the radius is 3 inches. Therefore,
[tex]\theta= 42 \\r=3 \ in[/tex]
[tex]A=\frac {42}{360} * \pi (3 \ in)^2[/tex]
Solve the exponent.
(3 in)²= 3 in*3in = 9 in²[tex]A=\frac {42}{360} * \pi (9 \ in^2)[/tex]
Multiply all three numbers together.
[tex]A= 0.116666666667* 3.14159265359 * 9 \ in^2[/tex]
[tex]A=3.29867228627 \ in^2[/tex]
Let's round to the tenth place. The 9 in the hundredth place tells us to round the 2 up to a 3.
[tex]A \approx 3.3 \ in^2[/tex]
The area of the sector is approximately 3.3 square inches.
The remaining questions refer to the following situation: Suppose a certain farmer wants to find out if the average length of the green beans in her field is 4 inches. She collects a random sample of 100 beans and get a sample mean of 3.75 inches. (Suppose she knows that the population standard deviation of bean length is 0.5.) What is the population in this situation
Answer:
The population in this situation is all green beans in her field.
Step-by-step explanation:
Informally, if you take a sample of an object, the population in all of these objects.
In this question:
Sample of 100 green beans in her field. This means that the population in this situation is all green beans in her field.
TIMED TEST WILL GIVE BRAINLIEST
Answer: 12?
Step-by-step explanation:
What is the equation of the line in slope-intercept form?
Answer:
y = mx + b
Step-by-step explanation:
What number divided by 4 equals 6?
Type the correct answer, then press Enter.
Answer:
24
Step-by-step explanation:
Let x be the number.
[tex]x/4=6[/tex]
Multiply both sides by 4 to isolate x
[tex](x/4)4=6*4\\x=24[/tex]
I hope this helps!
Could someone help me with with 6-10??
Answer:
You need a protractor
Step-by-step explanation:
to measure the angles
Asha is tiling the lobby of the school with one-foot square tiles. She has 6 bags
of tiles with 50 tiles in each. The lobby is a 30-foot by 8-foot rectangle. How
many tiles will Asha have left over after she tiles the lobby?
Answer:
60 tiles left over
Step-by-step explanation:
the lobby needs 30 x 8 = 240 tiles.
she has 6 x 50 = 300 tiles
300 - 240 = 60 left over
As a punishment for something naughty that we did, my little brother and I have to whitewash both sides of a fence. We start at the same time, and we each work at a constant rate.
If we each whitewash one side, I'll finish in $2$ hours and my brother will finish in $3$ hours. But I'm a nice kid, so after I finish my side, I go around to the other side and help my brother finish his side. From the time I start helping him, how many minutes does it take us to finish the job?
Answer:
60 minutes which grade
are you in I did it I think
Step-by-step explanation:
I Finish Work in 2 hrs
Work done in 1 Hr = 1/2
Brother Finish work in 3 Hrs Work done in 1 hr = 1/3
Let Say both Complete Work in T hrs as it has to be painted on both sides
Then T (1/2+1/3) = 2
=> T × 5/6 = 2
=> T = 2 Hr 24 Mins
=> T = 12/5 I will Take 2 Hrs to finish my work & 24 Mins to finish after start Helping
Learn more here:
Ajay along with Vijay do a work in 10 days. If Ajay do a work in 1/2...
https://brainly.in/question/10694066Atul, Bhaskar and Chetan can complete a work in 10, 20 and 25..
https://brainly.in/question/920470610 men can complete a job in 200 days. They started the work. After...
https://brainly.in/question/13973456Did I get this first question right?
Answer:
no
Step-by-step explanation:
the correct answer is 56.55 inches
Step-by-step explanation:
nope. radius = 1/2D so it's 9.
2. r= 14.5
3. d= 42
4. d = 26
xy=80 solve log x- log y=1
Question: Solve for x and y in the equation.
xy=80 and log x - 2 log y =1
Answer:
x = 40, y = 2
Step-by-step explanation:
xy = 80.......................... Equation 1
logx-2logy = 1
logx-logy² = 1
Applying the laws of logarithm,
log(x/y²) = log10
x/y² = 10
x = 10y²......................... Equation 2
Substitute the value of x in therms of y equation 2 into equation 1
10y²(y) = 80
10y³ = 80
y³ = 8
y = [tex]\sqrt[3]{8}[/tex]
y = 2.
Substitute the value of y into equation 1
2x = 80
x = 80/2
x = 40
Therefore,
x = 40, y = 2
Please help!!!!!! I’ll mark Brainlyist!!!!!
Answer:
its 55
Step-by-step explanation:
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Answer: 113.49
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
ik this is alot but please help me.
Answer:
help u in what please ask the question so we can anwser