Answer:
As you can see, these are all set up in slope intercept form (with a y-intercept of 0). These equations are called "direct variation" because y varies directly with x. If x increases, then y increases as well. If x decreases, then y decreases.
Step-by-step explanation:
As you can see, these are all set up in slope intercept form (with a y-intercept of 0). These equations are called "direct variation" because y varies directly with x. If x increases, then y increases as well. If x decreases, then y decreases.
Find the missing side of the triangle. Side LaTeX: cc is the hypotenuse and sides LaTeX: aa and LaTeX: bb are legs. Leave your answer in simplest radical form. LaTeX: a=2,\:b=4
Answer:
[tex]c = 2\sqrt{5[/tex]
Step-by-step explanation:
Given
[tex]a = 2[/tex]
[tex]b = 4[/tex]
c = hypotenuse
Required
Find c
Using Pythagoras theorem, we have:
[tex]c^2 = a^2 + b^2[/tex]
Substitute values for a and b
[tex]c^2 = 2^2 + 4^2[/tex]
[tex]c^2 = 4 + 16[/tex]
[tex]c^2 = 20[/tex]
Take square roots of both sides:
[tex]c = \sqrt{20[/tex]
Express 20 as 4 * 5
[tex]c = \sqrt{4 * 5[/tex]
Split surd
[tex]c = \sqrt{4} * \sqrt{5[/tex]
Take square root of 4
[tex]c = 2 * \sqrt{5[/tex]
[tex]c = 2\sqrt{5[/tex]
The sum of two positive numbers is 45. The difference between the numbers is 9. What
is the value of the larger number?
Answer:
value of larger number is27
Step-by-step explanation:
x+y=45
x-y=9
2x=36
x=18
y=27
Answer: 27 + 18 = 45
27 - 18 = 9
Step-by-step explanation:
derivative of (a^x/Log a)?
[tex]\sf{\dfrac{a^x}{log(a)} }[/tex]
(OR)[tex]\sf{\dfrac{a^x}{ln(a)} }[/tex]
[tex]\large\bold{\underline{\underline{Solution:-}}}[/tex][tex]\sf{Let\ y=\dfrac{a^x}{ln(a)} }[/tex]
[tex]\sf{=\dfrac{d}{dx}\bigg[\dfrac{a^x}{ln(a)} \bigg] }[/tex]
(Linear differentiation)[tex]\sf{=\dfrac{1}{ln(a)}.\dfrac{d}{dx}(a^x) }[/tex]
[tex]\sf{=\dfrac{ln(a)a^x}{ln(a)} }[/tex]
[tex]\boxed{\sf{=a^x}}[/tex]
[tex]\large\bold{\underline{\underline{Applied:-}}}[/tex]✭ Linear differentiation→ [tex]\sf{[a.b(x)+c.d(x)]'=a.b'(x)+c.d'(x)}[/tex]
✭ Exponential function rule
→ [tex]\sf{(a^x)'=ln(a).a^x}[/tex]
Answer:
a^x.
Step-by-step explanation:
y = a^x / log a
Assuming the log is to the base e:
y = (1/ log a) * a^x
Derivative of a^x:
Let u = a^x
log u = log a^x
log u = x log a
1/u * du/dx = log a
du/dx = = u * log a
y = (1 / log a) * u
so dy/du = 1/log a
and dy/dx = dy/du * du/dx
= (1/log a )* log a u
= u
= a^x.
Can somebody help me on this
Answer/Step-by-step explanation:
a. 3x + 13 = 12x - 2x
Add like terms
3x + 13 = 10x
3x = 10x - 13 (subtraction property of equality)
3x - 10x = - 13 (substraction property of equality)
-7x = -13
-7x = -13/-7 (division property of equality)
x = 13/7
b. 6j - 12 + 4j - 8 = 10
Add like terms
6j + 4j - 12 - 8 = 10
10j - 20 = 10
10j = 10 + 20 (addition property of equality)
10j = 30
10j/10 = 30/10 (division property of equality)
j = 3
c. 10y - 4y = 14 + 2y - 3y
Add like terms
6y = 14 - y
6y + y = 14 (addition property of equality)
7y = 14
7y/7 = 14/7
y = 2
d. 4p + 8 - 3p = 33
Add like terms
4p - 3p + 8 = 33
p + 8 = 33
p = 33 - 8 (subtraction property of equality)
p = 25
Find the perimeter and area of the polygon
Answer:
p= 76
A=338
Step-by-step explanation:
Perimeter: 15+18+18+8+17=76
Area:
15x18=270+(8x17/2)
270+68=338
PLEASE HELP ASAP Which of the following expressions is equivalent to the expression 42 + 90?
Answer:
6(7+15)
Step-by-step explanation:
6×7=42
6×15=90
2) Suppose it is known that 80% of the people exposed to the flu virus will contract the flu. Out of a family of six exposed to the virus, what is the probability that:
a) no one will contract the flu?
b) all will contract the flu?
c) at least two will contract the flu?
Answer:
a) .000064
b) .2621
c) .9984
Step-by-step explanation:
esta correcta confianza en me
xoxo, your highness...if a student answer 67 exam questions correctly out of 100,what fraction and what personage of question did the students answers incorrectly.
A. 67/100
B.67%
C. 0.67
D. 30/100
E. 33 %
F. 33/100
Answer:
A and D
Step-by-step explanation:
67 right out of 100 for the fraction and 67/100 = 67%
HELP
ME
PLEASE!!!!!NOWWW
Answer:
1.a
2.j
3.g
4.d
5.i
6.l
7.b
8.c
9.f
10.h
11.e
12.k
Step-by-step explanation:
Andrew buys 8 pounds of apples for $11.60. He wants to know and use the unit rate of the cost per pound.
True or False: Two pounds of apples cost more than $3.
Answer:true
Step-by-step explanation:
Plz help I’m getting timed
Answer:
$38,465
Step-by-step explanation:
35 x 1,099 = 38,465
Please please help i’m in eighth grade.
Answer:
Option D
Step-by-step explanation:
36 represents the total cost that they spent
Can someone help please
Answer:
b
Step-by-step explanation:
Kevyn is visiting France where they use the Euro instead of the dollar to pay for things. His grandparents give him $200 to spend on his trip. How many Euros is that? ($1.00 = 0.85 Euros)
Answer:
200$ equals 170 euros so he will have 170 euros
please help i dont want to fail
Answer: -2.2
Step-by-step explanation:
Answer:
-3/5 which is the third line between 0 and -1 if you're going back from 0.
Three friends pay 1025 to rent a vacation home. Beth contributed $80 more than danny. Katie contributed $20 less than Beth. How much did Danny contribute?
Answer:
Danny contributed $295
Step-by-step explanation:
Assume that Danny contributed $x
∵ Danny contributed x
∵ Beth contributed $80 more than Danny
→ Add The amount of Danny by $80 to get the amount od Beth
∴ Beth contributed x + 80
∵ Katie contributed $20 less than Beth
→ Subtract the amount of Beth by 20 to get the amount of Katie
∴ Katie contributed x + 80 - 20
∴ Katie contributed x + 60
∵ The three friends pay $1025
→ Add their amounts and equate the sum by 1025
∴ x + x + 80 + x + 60 = 1025
→ Add the like terms in the left side
∵ (x + x + x) + (80 + 60) = 1025
∴ 3x + 140 = 1025
→ Subtract 140 from both sides
∴ 3x + 140 - 140 = 1025 - 140
∴ 3x = 885
→ Divide both sides by 3
∴ x = 295
∵ x represents the amount of Danny contributed
∴ Danny contributed $295
I am very confused with this problem please help me
Answer:
The answer is -0.5
Step-by-step explanation:
Divide both side by the numeric factor on the left side then solve
6) The perimeter of triangle ABC is 32 inches. Side B is 4 inches shorter than side A. Side C is twice as long as Side A. What is the length of side A, in inches?
Answer:
The length of side A is 9 inches.
Step-by-step explanation:
B= A-4
C= A×2
B= 9-4
C= 9×2
B= 5
C= 18
9+5+18= 32 inches
A= 9 inches
B= 5 inches
C= 18 inches
20 miles in 6 hours =
Answer:
3.33
hope I helped
Answer:
18 seconds per mile
Step-by-step explanation:
GENERATE THE FIRST 4 Terms of f(n)=-2(n-1)+8
Help
Answer:
8, 6, 4, 2
Step-by-step explanation:
f(n)=-2(n-1)+8
Plug n =1
f(1)=-2(1-1)+8 = - 2*0+8 = 0+ 8 = 8
Plug n =2
f(1)=-2(2-1)+8 = - 2*1+8 = - 2+ 8 = 6
Plug n =3
f(1)=-2(3-1)+8 = -2*2+8 = -4+ 8 = 4
Plug n =4
f(1)=-2(4-1)+8 = -2*3+8 = -6+ 8 = 2
A boat is carrying containers that weigh 4000 pounds each.
Use this information to fill in the table. Then plot the ordered pairs given by the table.
Answer:
4 = 16,000
8 = 32,000
10 = 40,000
Step-by-step explanation:
4 x 4 = 16 then add the zeros and then you have 16,000. Same thing with 8. 4 x 8 = 32 then add the zeros. Also goes for 10. 4 x 10 = 40 then add the zeros.
[WORTH 100 WHOLE POINTS] !!
I need it soon!!
Answer:
1. 1/5 2. 3/5 4. 1/2 I dont know what 3 is
Step-by-step explanation:
The line plot shows the number of hours students in Mrs. Timberlake’s class worked on a project. How many students are included in the data?
Answer:
15
Step-by-step explanation:
I got this answer because I just added up all the x's.
1=3
2=2
3=5
4=3
5=2
3+2= 5
5+5=10
10+3=13
13+2=15
Please help!!!!!!!!!
Can you mark as BREINLEST
Actividad: Elabora tu propia ficha de autoevaluación de las 11 áreas que desarrollas y contesta las siguientes preguntas:
- acciones que realizaste para lograrlo.
- dificultades que encontraste.
- como te sentiste con el resultado.
Answer:
i dont speak chinese
Step-by-step explanation:
sorry ;-;
What is the equation of the line that has a slope of 5 and passes through the point (-4, 10)? * (20 Points)
A rectangle has width (2x + 3) and length (2x - 4). What is the AREA of the rectangle?
Answer:
85
Step-by-step explanation:
A school hoped to raise $30,000 at an auction to pay for
new computers. After the auction was over, the school
found they had made $34,800. What percent of their goal
did the school raise?
A
186%
B
116%
с
86%
D
16%
Solve the inequality 3(x - 7) + 2(4x + 9) > 0.
Answer:
x>3/11
3x - 21 + 8x + 18 >0
11x - 3 >0
11x >3
x>3/11
Answer:
Step-by-step explanation:
3(x - 7) + 2(4x + 9) > 0
3x-21+8x+18>0
11x-3>0
11x>3
x>3/11
Pascal reaches -12 meters only 3 seconds after passing 0. At what rate
does he run?
Answer:
About 30 m/s
Step-by-step explanation: