Answer:
k = - 3.6
Step-by-step explanation:
Given x = - 2 is a zero then f(- 2) = 0
Substitute x = - 2 into the polynomial and equate to zero
(- 2)² - 7(- 2) + 5k = 0
4 + 14 + 5k = 0
18 + 5k = 0 ( subtract 18 from both sides )
5k = - 18 ( divide both sides by 5 )
k = - 3.6
What is the length of BC, given that figure ABCD is a rectangle?
B
с
12
А
18
D
O A. 6
O B.9
C. 18
O D. 12
HELPPP MEEE PLEASEE ASAPPPPP
Answer:
C
Step-by-step explanation:
ABCD is a rectangle so BC = AD
Since opposite side of a rectangle are equal in length, the side BC is equals to AD. Therefore, side BCis equals to 18 units.
Properties of a rectangleOpposite sides are equalOpposite sides of a rectangle are parallelAll the angles of a rectangle are equals to 90 degrees.The diagonals of a rectangle are equal in length.The diagonal bisect each other at there point of intersection.
Since opposite sides are equal in length. Therefore,
AD ≅ BC
AB ≅ CD
Hence,
BC = 18 units.
learn more on rectangle here: https://brainly.com/question/15019502
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The temperature of the water in a coffeepot does not exceed 210 ° Fahrenheit. Let t be the temperature of the water in the coffeepot. Question Move a number, a variable, and a symbol to the line to create an inequality that represents this situation.
Answer:
t ≤ 210°
Step-by-step explanation:
If the temperature of the water in a coffeepot does not exceed 210°, this means that the temperature cannot be more than 210° and the required inequality sign that fits is ≤ (less than or equal to).
Since t is the temperature of the water in the coffeepot, the required inequality expression will be t ≤ 210°
Enter the slope-intercept equation of the line shown below. Is it y=-3x+3 or is it y=3x+3??!!
Answer: The line is y=-3x+3
Step-by-step explanation:
Its decreasing by 3 shown in the line so it would -3 and the equation for the line would be y=-3x+3 as you said.
Explain why there are infinitely many solutions to the equation
sin X = 1/2
Answer:
Well, everything can be turned into a half.
Step-by-step explanation:
A cylinder has a radius of 5x + 4 and a height of 2x + 5. Which polynomial in standard form best describes the total volume of the cylinder? Use the formula v=πr²h for the volume of a cylinder
Answer:
Step-by-step explanation:
Volume = pi·(r^2)*h
r = radius = (5x+4)
h = height = (2x+5)
Volume = pi·(r^2)
Volume = pi·(5x+4)^2*(2x+8)
Volume = pi·(25x^2+40x+16)*(2x+8)
Volume = pi·(50x^2+80x+32+200x^2+32x+128)
Volume = pi·(250x^2+112x+160)
Chloe and Ainsley start an art club. The first week they are the only 2 people in the club. They invite more friends to join. Each week the
number of people in the club doubles.
How many people are in the club on the third week?
Answer:
8.
Step-by-step explanation:
first week: 2
second week: 2×2=4
third week: 4×2=8
hence, 8 members joined the club on the third week.
A teacher asked four students to estimate the length of a grain of rice. Jack answered 4.5 x 10^-3 kilometer, Lilly answered 4.5 x 10^-3meter, Diego answered 4.5 x 10^-3vcentimeter, and Willa answered 4.5 x 10^-3 millimeter. Who gave the best answer
Answer:
Lilly
Step-by-step explanation:
According to the literature, the length of a medium grain rice is between 5.3 and 5.9 mm. Let's take the average (5.6 mm) and convert it to meters to compare it with the estimations. We will use the conversion factor 1 m = 1000 mm.
5.6 mm × 1 m/1000 mm = 5.6 × 10⁻³ m
Jack answered 4.5 × 10⁻³ kilometers. We will convert it to meters using the conversion factor 1 km = 1000 m.
4.5 × 10⁻³ km × 1000 m/1 km = 4.5 m
Lilly answered 4.5 × 10⁻³ meters.
Diego answered 4.5 × 10⁻³ centimeters. We will convert it to meters using the conversion factor 1 m = 100 cm.
4.5 × 10⁻³ cm × 1 m/100 cm = 4.5 × 10⁻⁵ m
Willa answered 4.5 × 10⁻³ millimeters. We will convert it to meters using the conversion factor 1 m = 1000 mm.
4.5 × 10⁻³ mm × 1 m/1000 mm = 4.5 × 10⁻⁶ m
As we can see, Lilly gave the best answer (same order of magnitude).
Name the angle and the intercepted arc.
Answer:
The angle formed is ∠LMK and the intercepted arc is LK.
Step-by-step explanation:
The given figure shows a circle of radius M. L and K are other points on the circle.
The distance from the center of the circle to a point on the circle is called radius.
LM and MK are the radius of the circle or
LM = MK
The angle formed is ∠LMK.
The intercepted arc is LK.
Find the roots of the following function:
y = x2 − 7x − 30
Answer:
x = 3, −10
Step-by-step explanation:
The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x.
Helppp pleasee!!!
MARK BRAINLIST
12 POINTS
Answer:
12.56
Step-by-step explanation:
use the circumference of a circle formula, C=2πr, to find the circumference
so C=2π(2)=12.56 the last one
I need a answer for this
Answer:
148 i think i’m not sure
Step-by-step explanation:
Answer:
Hello! answer: b = 24
Step-by-step explanation:
25 × 25 = 625 7 × 7 = 49 625 - 49 = 576 24 × 24 = 576 therefore b = 24 hope that helps!
The circle below is
centered at (2, 3) and has a radius of 4. What is its equation?
Answer:
Step-by-step explanation:
The standard form of a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex] where h and k are the center of the circle and r is the radius. Filling in:
[tex](x-2)^2+(y-3)^2=16[/tex]
A una reunión asistieron tres amigos: Manuel, Hugo y Coco; y tres damas: Pamela, Nancy y Susan. Terminada la actividad, cada uno de los muchachos salió acompañado por una dama. Hugo salió con la amiga de Nancy. Pamela, que no simpatiza con Nancy, salió antes que Manuel.
Answer:
Hugo salió con Susan, Coco salió con Pamela y Manuel salió con Nancy.
Step-by-step explanation:
Dado que a una reunión asistieron tres amigos: Manuel, Hugo y Coco; y tres damas: Pamela, Nancy y Susan, y terminada la actividad, cada uno de los muchachos salió acompañado por una dama, y Hugo salió con la amiga de Nancy, mientras que Pamela, que no simpatiza con Nancy, salió antes que Manuel, para determinar con quién salió cada persona debemos realizar el siguiente razonamiento lógico:
Hugo = Amiga de Nancy (no es Pamela) = Susan
Pamela = Sale antes que Manuel (no sale con Hugo) = Coco
Nancy = Manuel
Por lo tanto, Hugo salió con Susan, Coco salió con Pamela y Manuel salió con Nancy.
express Rs 1.50 as a percentage of 200 cents
1 $ = 100 cents
1.5 $ = 150 cents
1.50 $ a percentage of 200 cents = (150/200)100= 75%
A N S W E R
Q U I C K L Y
P L E A S E
Answer:
Your answer is D
Step-by-step explanation:
I literally have an Math Expert right next to me and he verified this answer!
Plz gimme a like!!
HELP!!!! ASAP
NO LINKS!!!!
Answer:
17.98
Step-by-step explanation:
We can use the sum of a finite geometric series formula(in the picture). We can start by plugging in what we have. As of now, we have the first term, 12 and by dividing a term by a previous term, we can tell that the common ratio, r is 1/3. Lastly, we can say that n is equal to 6, because we are looking for the sum of the first 6 terms. After substituting we get:
[tex]\frac{12 - 12*(\frac{1}{3})^6}{1-\frac{1}{3} }[/tex]
We can start by simplifying:
[tex]\frac{12-12(\frac{1}{729}) }{\frac{2}{3} }[/tex]
[tex]\frac{\frac{2916}{243} -\frac{4}{243} }{\frac{2}{3} }[/tex]
[tex]\frac{\frac{2912}{243} }{\frac{2}{3} }[/tex]
[tex]\frac{2912}{243}*\frac{3}{2}[/tex]
[tex]\frac{1456}{81}[/tex]
17.975308642
This can be rounded to 17.98
Answer:
17.98Step-by-step explanation:
Given:
a₁ = 12r = 1/3n = 6Find the sum:
Sₙ = 12(1 - (1/3)⁶)/(1 - 1/3) = 12(1 - 1/729) / (2/3) = 18(728/729) = 17.98 roundedwhat is mass and solid and gas
A family on vacation records the time in hours) and the distance (in miles) that they travel. The data are shown in the scatter plot below.
Distance (miles)
YA
450
400
350
300
250
200
L
150
100
50
0
0 1 2 3 4 5 6 7 8 9
Time (hours)
Based on the scatter plot, the family travels miles in the first 3.5 hours.
If you answer with a link I will report you and get your account blocked
Answer:
In the first 3.5 hours, the family travelled 175 miles.
Step-by-step explanation:
We have the table:
time (hours) distance ( miles)
0 0
1 50
2 100
3 150
4 200
5 250
6 300
7 350
8 400
9 450
This seems like a linear relationship, let's write the general line:
y = a*x + b
That represents this situation, y is the distance in miles and x is the time in hours.
In the line equation, a represents the slope and b the y-intercept.
And if the line passes through the points (x₁, y₁) and (x₂, y₂), then the slope of the line is:
a = (y₂ - y₁)/(x₂ - x₁)
In this case we have a lot of points for the line, we can use any pair we want (we actually should use a few different pairs to see that the slope is always the same)
So if we use the first two (0, 0) and (1, 50)
the slope is:
a = (50 - 0)/(1 - 0) = 50
Now, if we use the third and fifth points (4, 200) and (5, 250) now the slope is:
a = (250 - 200)/(5 - 4) = 50/1 = 50
So we can conclude that the slope of the equation is a = 50
Then the equation is something like:
y = 50*x + b
To find the value of b, we can use any of the points of the line, for example (0, 0)
This means that when x = 0, y also must be 0, then:
0 = 50*0 + b
0 = b
Then the equation is:
y = 50*x
Now, to answer how many miles the family travelled in the first 3.5 hours, we just need to replace x by 3.5 in the equation:
y = 50*3.5 = 175
In the first 3.5 hours, the family travelled 175 miles.
SOMEONE PLEASE HELP ME! I promise i will mark brainlest, but i need the right answer for this. help is much appreciated <3
Answer:
Y remains unchanged because y is still 7.
Can you please help me by telling me which one is the answer and how do I solve to get the answer.
Thank you
( 3x - 12 / 9x^2 ) ÷ ( x - 4 / 3x ) =
( 3x - 12 / 9x^2 ) × ( 3x / x - 4 ) =
( 3 ( x - 4 ) / 3 × 3x × x ) × ( 3x / x - 4 ) =
( x - 4 / 3x × x ) × ( 3x / x - 4 ) =
( x - 4 ) × 3x / ( x - 4 ) × 3x × x =
1 / x
Thus the correct answer is option A .
PLEASE HELPPP, ITS DUE IN 1 HOUR!! I WILL GIVE BRAINLIEST!! LINKS=REPORT
PLEASE SOLVE FOR THE CHART AND GRAPH. PLEASE SHOW ON GRAPH
Answer:
Look below
Step-by-step explanation:
Ok Just Plug it in
For the chart
1:8
2:9
3:10
4:11
And then graph on desmos
You should the answer
Sorry if I am wrong.
Answer:
second graph
Step-by-step explanation:
When x=1,
y=1+7=8
When x=2,
y=2+7=9
When x=3,
y=3+7=10
When x=4,
y=4+7=11
Simplify for ez points!
Answer:A
Step-by-step explanation: divide both by 5 and you get 3/4 because 15 divided by 5 = 3 and 20 divided by 5 =4
I NEED ANSWERS AND WORK ON THIS ASAP PLEASE!!!!!
THALES’ THEOREM: If A, B, and C are three different points on a circle with a diameter line AB, then ∠ABC is a right angle True or false
Answer:
your question is that true
Step-by-step explanation:
my answer is false
unit used to measure humidity
PLEASEEEEEE HELP IM BEGGING SOMEONE PLEASEEEEE HELPPPPPPPPPPPPPP
Answer:
1.105°
angle relationship=vertical angles
2.112°
angle relationship=interior angles
Step-by-step explanation:
1.180-75=105
2.180-68=112
#Carry on Learning
Suma masurilor a doua unghiuri este egala cu 180(de grade). Determinati masura fiecarui unghi stiind ca unul dintre unghiuri are masura egala cu 20% din masura celuilalt unghi
Answer:
150 grados
30 grados
Step-by-step explanation:
Sea x la medida del primer ángulo
Sea la medida del segundo ángulo y
Según la pregunta;
x + y = 180 -------- (1)
De la segunda oración;
x = 0,2 años -------- (2)
Sustituyendo (2) en (1)
0,2 años + y = 180
1,2 años = 180
y = 180 / 1,2
y = 150 grados
Pero;
x = 0,2 años
Entonces
x = 0,2 (150)
x = 30 grados
Por eso;
y = 150 grados
x = 30 grados
1. The angle θ lies in Quadrant I.
sinθ=2/5
What is cosθ?
√−21/5
−2/5
√21/5
2/5
Answer:
2/5.......................
Which one is equivalent? Ez points
Answer: B: -4 by -4 by -4
Step-by-step explanation: When a number is to be used with a negative exponent, the number is to be multiplied by however many times the number says to multiply it, and whether the exponent is positive or negative determines the numbers being multiplied, whether they should be negative or positive. (Sorry, I'm not good at wording this, I'll provide an example below.);
4^-3 means that you multiply four three times, but the exponent is also negative, so it would make each of the base numbers negative.
-4 by -4 by -4
Find a formula for dy/dx if sin x + cos y + sec(xy) = 251
Answer:
[tex]\displaystyle \frac{dy}{dx} = \frac{-cos(x) - ysec(xy)tan(xy)}{-sin(y) + xsec(xy)tan(xy)}[/tex]
General Formulas and Concepts:
Pre-Algebra
Distributive Property
Algebra I
FactoringCalculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Trig Differentiation
Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Implicit Differentiation
Step-by-step explanation:
Step 1: Define
Identify
sin(x) + cos(y) + sec(xy) = 251
Step 2: Differentiate
[Implicit Differentiation] Trig Differentiation [Chain Rule]: [tex]\displaystyle cos(x) - sin(y)\frac{dy}{dx} + sec(xy)tan(xy) \cdot (y + x\frac{dy}{dx}) = 0[/tex] [Subtraction Property of Equality] Isolate [tex]\displaystyle \frac{dy}{dx}[/tex] terms: [tex]\displaystyle -sin(y)\frac{dy}{dx} + sec(xy)tan(xy) \cdot (y + x\frac{dy}{dx}) = -cos(x)[/tex][Distributive Property] Distribute sec(xy)tan(xy): [tex]\displaystyle -sin(y)\frac{dy}{dx} + ysec(xy)tan(xy) + xsec(xy)tan(xy)\frac{dy}{dx} = -cos(x)[/tex][Subtraction Property of Equality] Isolate [tex]\displaystyle \frac{dy}{dx}[/tex] terms: [tex]\displaystyle -sin(y)\frac{dy}{dx} + xsec(xy)tan(xy)\frac{dy}{dx} = -cos(x) - ysec(xy)tan(xy)[/tex]Factor out [tex]\displaystyle \frac{dy}{dx}[/tex]: [tex]\displaystyle \frac{dy}{dx}[-sin(y) + xsec(xy)tan(xy)] = -cos(x) - ysec(xy)tan(xy)[/tex][Division Property of Equality] Isolate [tex]\displaystyle \frac{dy}{dx}[/tex]: [tex]\displaystyle \frac{dy}{dx} = \frac{-cos(x) - ysec(xy)tan(xy)}{-sin(y) + xsec(xy)tan(xy)}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Implicit Differentiation
Book: College Calculus 10e