Answer:
The length is 28 and the width is 11
Step-by-step explanation:
To solve this problem, we can make the width as x.
Since the length is 5 less than 3 times the width, it's going to be 3x - 5
So now we've got the length and width, just need to find the perimeter, which is all the sides added up together. They already gave us the perimeter, so we just have to solve the equation:
2(3x - 5) + 2x = 78
6x - 10 + 2x = 78
8x - 10 = 78
8x = 88
x = 11
x = 11, but remember, x is the width, not the length. Since we already found what x is, we just have to plug it into the equation of:
3x - 5
3 × 11 - 5
33 - 5 = 28
Answer: Length = 28 (don't forget to add the unit if there is one)
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:
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]
Can someone help please
Answer:
b
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
Plz help I’m getting timed
Answer:
$38,465
Step-by-step explanation:
35 x 1,099 = 38,465
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
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 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%
Please please help i’m in eighth grade.
Answer:
Option D
Step-by-step explanation:
36 represents the total cost that they spent
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 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
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.
NEED HELP ASAP!
The sum of two numbers is 105. The larger number is 6 less than twice the smaller
number. What are the numbers?
Answer: x=68, y=37
Step-by-step explanation:
The equation for the sum of two numbers is 105 would be x+y=105. You can say the larger number would be x and the smaller would be y. So, x=2y-6. then you plug that into the x in the first equation.
2y-6+y=105
3y-6=105
3y=111
y=37
Then you would plug in the y to one of the equations. I will do the second one but you can do either one.
x=2y-6
x=2*37-6
x=74-6
x=68
20 miles in 6 hours =
Answer:
3.33
hope I helped
Answer:
18 seconds per mile
Step-by-step explanation:
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
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
[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:
Ms. McGuirk wants to know if she built her son's new sandbox with a perfect right angle or not? The shorter sides are 15 feet and 8 feet what should the measure of the 3rd side be to make it a perfect right angle?
Answer:
17 feet
Step-by-step explanation:
A right angle has 3 sides: the adjacent, the opposite and the hypotenuse.
The hypotenuse is the largest side of the right angle
The shorter sides are 15 feet and 8 feet which should represent opposite and adjacent sides respectively
Opposite = 15 feet
Adjacent = 8 feet
Hypotenuse = x feet
Using Pythagoras theorem to solve
Hypotenuse ² = opposite ² + adjacent ²
x² = 15² + 8²
x² = 225 + 64
x² = 289
Find the square root of both sides
√x² = √289
x = 17 feet
The 3rd side is 17 feet
A rectangle has width (2x + 3) and length (2x - 4). What is the AREA of the rectangle?
Answer:
85
Step-by-step explanation:
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...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
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:
Please help!!!!!!!!!
Can you mark as BREINLEST
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
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:
What is the equation of the line that has a slope of 5 and passes through the point (-4, 10)? * (20 Points)
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:
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 ;-;
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%