[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The equivalent expression will be :
[tex] \dfrac{ - 35}{5} [/tex][tex] - 7[/tex](-7x) + 5
x= -8
Evaluate the expression
Answer:
61
Step-by-step explanation:
(-7x)+5
Let x = -8
-7*(-8) +5
56+5
61
Answer:
61
Step-by-step explanation:
Here you are just substituting for x.
Since x = -8 we just plug that into the expression.
-7x + 5
-7(-8) + 5
56 + 5
= 61
100 points and brainliest to the first correct answer
I've done the work but I need to know what my new coordinates will be
Here's the question
Use the mapping (x+3, y-5), for the transformation of triangle ABC with vertices A(-2, -4), B(0, 0), and C(1, -3), find the coordinates of the new triangle A’B’C’ . You must show all your work.
And then here is the answer:
You’re going to go left side three points and down five for every point on the graph (ABC) and once you do that label the ABC marks with an apostrophe like so; A’B’C’ for every time you change places
Answer:
A'(1, -9), B'(3, -5), C'(4, -8)Step-by-step explanation:
Use the given rule and find the coordinates as follows:
(x, y) → (x + 3, y - 5)A(-2, -4) → A'(-2 + 3, -4 - 5) = A'(1, -9)B(0, 0) → B'(0 + 3, 0 - 5) = B'(3, -5)C(1, -3) → C'(1 + 3, -3 - 5) = C'(4, - 8)The points are plotted, see the attached.
Answer:
Before I start, wouldn't you go right three times since it's x + 3 not x - 3. Id.k maybe I'm just slow.
Anyways, take your current points which are A(-2,-4), B(0,0), and C(1,-3) and apply the new mapping rule to them. For example: (-2 + 3, -4 -5), and that will give you A' (1,-9). If you do the same to the other two, you'd have B' (3,-5) and C' (4,-8).
I graphed A, B, C, and A', B', C' above for you.⤴⤴
Hope the graph makes sense, good luck :)
Solve 5/(r-9)=8/(r+5)
Answer:
r = 32 1/3
Step-by-step explanation:
5/(r-9) = 8/(r+5)
cross multiply:
5 x (r + 5) = 8 x ( r - 9)
5r + 25 = 8r - 72
Add 72 to both sides:
5r + 97 = 8r
Subtract 5r from both sides
97 = 3r
Divide both sides by 3
r = 32 1/3
-Chetan K
Answer:
r = 32 1/3 or 97/3
Step-by-step explanation:
Step 1: Cross-multiply.
[tex]5*(r+5)=8*(r-9)[/tex] [tex]5r + 25 = 8r - 72[/tex]Step 2: Subtract 8r from both sides.
[tex]5r + 25 - 8r = 8r - 72 - 8r[/tex] [tex]-3r +25=-72[/tex]Step 3: Subtract 25 from both sides.
[tex]-3r + 25 - 25 = -72 - 25[/tex] [tex]-3r = -97[/tex]Step 4: Divide both sides by -3.
[tex]\frac{-3r}{-3}=\frac{-97}{-3}[/tex] [tex]r=\frac{97}{3}[/tex] [tex]r = 32\frac{1}{3}[/tex]Therefore, r = 32 1/3 or 97/3.
Write 90 mm2 in cm2
I still don’t know it
Answer:
90mm^2= 90×10^-2 = 0.9 cm^2
10. The half-life of a radioactive substance is 15
years.
Write an equation that can be used to determine
the amount, s(t), of 200 grams of this substance
that remains after t years. (2 points)
Determine algebraically, to the nearest year, how
long it will take for 1/10 of this substance to
remain. (3 points)
Answer:
s(t)=200(1/2)^t/13
Step-by-step explanation:
Here's answer:
https://www.nysedregents.org/algebratwo/619/algtwo62019-mrs.pdf
The number of years it will take for 1/10 of this substance to remain is; 50 years
What is the half life formula?The half life formula is;
N(t) = N₀(¹/₂)^(t/t_1/2)
where;
N(t) is quantity of the substance remaining
N₀ is initial amount of substance
t is time elapsed
t_1/2 is half life
Thus;
S(t) = 200(¹/₂)^(t/15)
We want to find the time it will take 1/10 of the substance to remain. Thus;
1/10 = (200/200)(¹/₂)^(t/15)
1/10 = (¹/₂)^(t/15)
t/15 = In(1/10)/In(¹/₂)
t/15 = 3.32193
t = 49.88 ≈ 50 years
Read more about Half Life at; https://brainly.com/question/26689704
an arrow is horizontally projected from the top of a tower with an initial velocity of 18m/s if it reaches the ground 7s later, calculate the height of the tower (take g=10m/s²)
Answer:
x[f]=at^2/2+v[i]t+x[i]
Brackets dennote a subscript.
You're given x[f], a, t,and v[i]. You can just plug in their values into the formula and solve for x[i]. The horizontal velocity is irrelevant, the height of the tower is the initial position of the arrow, and final position is gonna be when it reaches the ground,or 0.
Sam completed the square for the quadratic equation y=1/2x^2−2x+3 in order to determine the minimum value of the equation, as shown.
Answer:
[tex](2,1)[/tex]
Step-by-step explanation:
You can just use the formula [tex]x=-\frac{b}{2a}[/tex]:
[tex]y=ax^2+bx+c[/tex]
[tex]y=\frac{1}{2}x^2-2x+3[/tex]
[tex]x=-\frac{-2}{2(\frac{1}{2})}=\frac{2}{1}=2[/tex]
[tex]y=\frac{1}{2}(2)^2-2(2)+3=\frac{1}{2}(4)-4+3=2-4+3=-2+3=1[/tex]
Therefore, the minimum value of the equation is [tex](2,1)[/tex]
a line passes through the point (4, -4) and has a slope of -5 / 4
write an equation in slope-intercept form for this line
Answer:
y=-5/4x+1
Step-by-step explanation:
y- y-coordinate= slope(x- x-coordinate)
y- (-4)= -5/4 (x - 4)
y - (-4)= -5/4x +5
move (-4) to the other side of the equal sign, the sign changes to +4
y= -5/4x +5 +4
y=-5/4x+1
Trigonometric identities: Performance task
#1
[tex]\\ \sf\longmapsto (1+cosx)(1-cosx)[/tex]
[tex]\\ \sf\longmapsto 1-cos^2x[/tex]
[tex]\\ \sf\longmapsto sin^2x[/tex]
#2
[tex]\\ \sf\longmapsto \dfrac{1}{cot^2x}-\dfrac{1}{cos^2x}[/tex]
[tex]\\ \sf\longmapsto tan^2x-sec^2x[/tex]
[tex]\\ \sf\longmapsto 1[/tex]
I WILL MARK BRAINLIEST, NO FAKE ANSWERS
Which one is the larger average rate, -3.142 or -0.5?
Answer:
-0.5 is the larger average rate
Step-by-step explanation:
-3.142 is less than -0.5
You have 8/12
of a blueberry pie left over from dinner. If you sent 1/5 of the leftover
blueberry pie home with your guests, how much of the blueberry pie do you have left in the dish?
Answer:
8/12-1/5=7/15 reduce 8/12 to 2/3
What are the values of t and u?
Answer:
t=44°
U=92°
Step-by-step explanation:
V=W=44°
U=180-(44×2):92°
Hey! Can I know how to solve this problem?
(2)/((1)/(\sqrt(3))+1)
It's been driving me insane.
Answer:
Can you ask again with a picture? it's not clear with only text
[tex]Evaluate: \int \frac{ \sin(2x) }{1 + \sin^{2} (x) }dx \\ [/tex]
Hopping for a great answer.
Answer:
ln (1 + sin^2(x)) + C
Step-by-step explanation:
Note that sin(2x) = 2 sin(x) cos(x).
So, the integrand is rewritten as:
(2 sin(x) cos(x)) / (1 + sin^2(x) ).
Now, make the substitution u = sin(x), so that du = cos(x) dx. Thus, in terms of the variable u, the integrand is
(2 u )/(1 + u^2).
Make another substitution v = 1 + u^2, so that dv = 2 u du, and the integrand in terms of v is
1 / v
Now, we integrate, and then back substitute to write that the indefinite integral is
ln |v| + C = ln |1 + u^2| + C = ln |1 + sin^2(x)| + C + ln (1 + sin^2(x)) +C, since 1 + sin^2(x) + 1 is positive for all real x.
Step-by-step explanation:
[tex]\large\underline{\sf{Solution-}}[/tex]
We have to evaluate the given integral.
[tex] \displaystyle \rm = \int \dfrac{ \sin(2x) }{1 + \sin^{2} (x) } \: dx[/tex]
[tex] \displaystyle \rm = \int \dfrac{2 \sin(x) \cos(x) }{1 + \sin^{2} (x) } \: dx[/tex]
Now let us assume that:
[tex] \rm \longmapsto u = 1 + { \sin}^{2}(x)[/tex]
[tex] \rm \longmapsto \dfrac{du}{dx} = 2 \sin(x) \cos(x) [/tex]
[tex] \rm \longmapsto dx = \dfrac{1}{2 \sin(x) \cos(x) } \: du[/tex]
Therefore, the integral becomes:
[tex] \displaystyle \rm = \int \dfrac{1}{u} \: du[/tex]
[tex] \displaystyle \rm = \ln(u) + C[/tex]
[tex] \displaystyle \rm = \ln(1 + sin^{2}x ) + C[/tex]
Therefore:
[tex] \displaystyle \rm \longmapsto \int \dfrac{ \sin(2x) }{1 + \sin^{2} (x) } \: dx = \ln(1 + sin^{2}x ) + C[/tex]
please help im tired and i don't wanna fail it's important
Options:
A) there are no points located on the x - axis
B) B
C) C
D) D
E) E
Answer:
D
Step-by-step explanation:
The x-axis is the horizontal line. Therefore D is directly on the line, making it on the x axis.
will mark as brainliest plz help
Answer:
cccccccccccccccccccccccc
Can you subtract 8 tenths from 1 tenth?
Answer:
Not if you want it to be a positive number. You can but it will be a negative.
Step-by-step explanation:
Please solve this problem... I will mark you brainliest
Answer:
First find x
70-x=4x
-x-4x=-70
-5x=-70
x=14
Angle BEC = 70°-x
=70-14
=56°
Angle AEB = 180- 56
= 124°
Angle DEA =4x
= 4× 14
= 56°
Angle CED = 180-56
=124°
The sequence 2, 9, 20, 35, … is illustrated in the art below. What is the 50th term of this sequence?
Answer:
Answer:
345 is the answer
Step-by-step explanation:
use the nth term sequence and you get 7n-5 just substitute 50 and you get that hope I helped!
check the image below
Answer: A
Step-by-step explanation:since the dot on -3 is solid that means it is included or equal to. since the dot on 2 is not filled in that means not equal to that number but everything up to it, including everything from -3 up to but not including 2
You are paid $82.50 for 7 1/2 hours of work. What is your rate of pay
Answer:
$11 per hour
Step-by-step explanation:
Answer:
$11 per hour
I divided 82.5 by 7.5 and got 11.
Write the equation of the line that passes through the points (3,1) and (-2,6)
[tex]slope = y2 - y1 \div x2 - x1[/tex]
[tex]6 - 1 \div - 2 - 3[/tex]
[tex]5 \div - 5 [/tex]
[tex] - 1[/tex]
[tex]y = mx + c[/tex]
[tex]1 = - 1 \times 3 + c[/tex]
[tex]1 = - 3 + c[/tex]
[tex]1 + 3 = c[/tex]
[tex]c = 4[/tex]
[tex]y = - 1x + 4[/tex]
[tex]y = - x + 4[/tex]
Follow the steps in purple to evaluate:
4
+
9
To add or subtract fractions, their denominators
must be the same. We can get a common
denominator by multiplying the second fraction
by 3/3.
6
-
(-}).
What number belongs in the green box?
Enter
What is the volume of this cylinder?
6 ft
12ft
10
Sarah is making 4 batches of cupcakes for a friend's birthday. Each batch requires 4 teaspoons of vanilla for the
cupcakes and 2 teaspoons of vanilla for the frosting. Which expression can you use to help find the number of
teaspoons of vanilla Sarah will need for all 4 batches?
O 4 + 2 x4
o (4 + 2) x4
(4 x 4) + 2
Answer:
Step-by-step explanation:
the answer is (4 x 4)+2
Answer:
o (4+2) x4 is the expression that means 4 batches of 4+2 teaspoons of vanilla.
Step-by-step explanation:
1c = t(4 + 2) is created as t = tspoon but any letter cna represent and maybe the o means teaspoons so lets compare
we see the brackets on (4+2) x4 and use this. And if you must put a 0 in front then I would also convert to show without 0 and show both
As long as brackets separate the (4x 2) to the 4 batches it becomes a workable expression.
When algebra becomes understandable for multiplying we show 4(4 +2)
because in brackets its always add or subtract, but we recognise mainly as the question is worked out first for one part being 1 cupcake = 1c
so 1c = 4t+2t
then; 4c = 4t+2t
we need to multiply the set as a reverse to usual equations that try to make you find what t or c means.
so as we are not subtracting the numbers either side of the = we can just demonstrate a multiplication
4( 4+2)t = 0(4+2) x 4
equation in bold = expression given and chosen
they both mean the same so we know the first one in bold is an equation and the 2nd one as asked is an expression
Heather wants to make a 36% acid solution.
She has already poured 3 fl. oz. of a 72%
acid solution into a beaker. How many fl.
oz. of a 9% acid solution must she add to
this to create the desired mixture?
Answer:
.72x + .27 = .36(x + 3)
A sum of money is shared amongst three friends, Shai, Toni and Mara in the ratio 6:5:9 respectively. If Toni received $160, how much money did Shai and Mara receive? HELLLLLLLLPPPPPPP
Answer:
$192 and $288Step-by-step explanation:
The ratio given:
Shai : Toni : Mara = 6 : 5 : 9Toni receives $160, which is 5 portions.
Each portion is:
$160/5 = $32Shai gets:
6*$32 = $192Mara receives:
9*$32 = $288Step-by-step explanation:
It is given
4x+3y=24
We can also write it as
3y=24−4x
y=324−4x
Substituting x=0 in the given equation
y=324−4(0)
So we get
y=324
By division
y=8
Substituting x=3 in the given equation
y=324−4(3)
So we get
y=312
BY division
y=4
How do animals get nitrogen?
by eating other organisms
from the air
by absorbing the sun
through their skin
Answer:
By eating plants or other animals that contain nitrogen
Plot the points (-3, 4) (4, 4) on the coordinate plane below.
What is the distance between these two points.
Answer:
the distance is 7 units
Step-by-step explanation:
pls mark me brainliest :))