9514 1404 393
Answer:
x^2 -5x +14 = 10^(2x +4)
Step-by-step explanation:
The relationship is ...
log(a) = b ⇔ a = 10^b
__
Using this with a=x^2-5x+14 and b=2x+4, we have ...
x^2 -5x +14 = 10^(2x +4)
_____
Additional comments
In plain text, the exponent needs parentheses, because superscript formatting is not available to tell what is and isn't part of the exponent.
The base of "log" is assumed to be 10 in high school algebra. In the larger world, "log" is often used in place of "ln" to mean the logarithm to base 'e'.
__
The one solution is approximately x = −1.32505947996.
Evaluate the integral by making the given substitution. (Use C for the constant of integration.)
∫ x^2√x^3+37 dx, u=x^3+37
The Given integral is :
∫x²√x³ + 37 dx ; u = x³ + 37
Answer:
2/9(x³ + 37)^3/2 + C
Step-by-step explanation:
∫x²√x³ + 37 dx ; u = x³ + 37
∫x²√u dx
Since u = x³ + 37
Differentiate u with respect to x
du/dx = 3x²
du = 3x²dx
dx = du / 3x²
∫x²√u dx = ∫x²√u du/3x²
1/3x²∫x²√u du
1/3 ∫ √u du
Integrating √u with respect to u
1/3 ∫ u^1/2 du
1/3 [u^(1/2+1) / 1/2 + 1] + C
1/3 [u^3/2 / 3/2] + C
1/3 u^3/2 * 2/3 + C
1/3*2/3 u^3/2 + C
2/9 u^3/2
u = x³ + 37
2/9(x³ + 37)^3/2 + C
What is the simple interest earned when the principal is $3050, the rate is 6% and 3 years?
Answer:
$549
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 6%/100 = 0.06 per year,
then, solving our equation
I = 3050 × 0.06 × 3 = 549
I = $ 549.00
The simple interest accumulated
on a principal of $ 3,050.00
at a rate of 6% per year
for 3 years is $ 549.00.
Answer:
I’m pretty sure 549
Step-by-step explanation:
The sales Amount is 12,500.00, and 5% sales tax
a. what's is sales tax?
b. What's the total amount paid?
Answer:
Step-by-step explanation:
a.A sales tax is a consumption tax imposed by the government on the sale of goods and services.
b.12500x5%=625
a rectangular tray is 820mm long and 400mm wide .find its area in m²
Answer:
0.328 [tex]m^{2}[/tex]
Step-by-step explanation:
820mm = 82cm = 0.82m
400mm = 40cm = 0.40m
0.82 x 0.40 = 0.328
If a rectangular tray is 820mm long and 400mm wide. Its area in m² will be: 0.328m²
Using this formula
Area=Length × Width
First step is to covert from millimeter to meter
1 millimeter=0.1 centimeter
Hence:
Length=820mm×0.1÷100
Length=0.82m
Width=400mm×0.1÷100
Width= 0.40m
Let plug in the formula
Area=0.82m x 0.40m
Area= 0.328m²
Inconclusion If a rectangular tray is 820mm long and 400mm wide. Its area in m² will be: 0.328m².
Learn more here:
https://brainly.com/question/3340228
Photo attached please help
WILL GIVE BRAINLIEST FOR A CORRECT ANSWER:
A boat travels for 3 hours with a current of 3 mph, and returns back in 4 hours. How far did the boat travel in one way?
Answer:
Solution:
the boat's speed in still water: x
The speed with current: (x+3)
The speed against current: (x-3)
The equation is
3(x+3) = 4(x-3)
x = 21 mph
The distance = 3*(21+3)= 72 miles
I choose (A)
Step-by-step explanation:
Answer:
72 Miles
Step-by-step explanation:
with a coupon, you can gat a pair of shoes that normally cost $84 for only $72. what percentage was the discount?
Answer:
14.29%
Step-by-step explanation:
72/84 = 6/7
7/7-6/7 = 1/7
1/7 = approximately 14.29%
Prove which of the following side lengths represents a right triangle?
A 3, 5, 8
B 9, 12, 15
C 3, 4, √14
D 1, 2, 3
Help plz
What is 1% of 3,098?
Answer:
30.98
Step-by-step explanation:
Answer:
30.98
Step-by-step explanation:
A homeowner wants to fence her rectangular backyard. The yard is 63ft by 66ft. If fencing costs $2 per foot, how much will it cost to fence the yard?
Answer:
Step-by-step explanation:
The bakers at Healthy Bakery can make 290 bagels in 10 hours. How many bagels can they bake in 23 hours? What was that rate per hour?
Answer: 667 bagels in 23 hours. 29 bagels per hour
Step-by-step explanation:
Planets in Earth’s Solar System are grouped according to their distance from the Sun. Which choice correctly identifies an inner planet and an outer planet and their correct characteristics?
Answer:
its inner mars made of gas
and outer Jupiter made of rock
Step-by-step explanation:
i am in high school trust me
Answer:
inner venus made of rock
outer neptune made of gas
Step-by-step explanation:
inner planets are made of rock
outer planets are made of gas
inner planets: mercury, venus,earth. and mars
outer planets: jupiter,saturn,uranus and neptune
hope that helped!!!
how many years will it take $136000 to grow to 468000 if invested in an account with an annual interest rate of 8%
please help me with this answer
Answer: B. 2x^4+12x^2-8
Step-by-step explanation: x^2+4x+2 x 2x^2+3x-4
x^2 x 2x^2+4x+3x+2-4
2x^4+12x^2-8
I think its B because the question does say that you have to multiply.
Where are my smart friends?? I had $3.00. My Mom gave $10.00. My Dad gave $30.00. My Aunt and Uncle gave me $100.00. I had another $12.00. How much did I have?
Answer:
$155
Step-by-step explanation:
3 + 10 + 30 + 100 + 12 =
Answer:
$155
Step-by-step explanation:
3 + 10 + 30 + 100 + 12 = 155
You are by far, much richer than me
Your uncle has said that if you agree to finish college he will give you equal payments of $1,000 at the end of each year for the next eight years.
If the annual interest rate stays constant at 6%, what is the value of these payments in today's dollars? (Note: Round your answer to the nearest
whole dollar.)
O $6,583
O $5,279
$7,763
$6,210
3 (x + 7) = -12
x + 7 = ?
x = ?
Find out ? fast
Answer:
×=-11
Step-by-step explanation:
3x+21=-12
3×=-33
×=-11
Answer:
x=-11
x+7=-4
Step-by-step explanation:
3(x+7)=-12
3x+21=-12
3x=-12-21
3x=-33
x=-33/3
x=-11
-11+7=-4
compará y ordena de mayor a menor las siguientes cantidades 23.4 ,15/20 ,32.245,.056,4/10,50/100,8/9,.009,9/1000 y 54.45
Answer:
El orden de mayor a menor es:
54.45 ; 32.245 ; 23.4 ; 8/9 ; 15/20 ; 50/100 ; 4/10 ; 0.056 ; 9/1000
Step-by-step explanation:
El mayor número será el que tenga el mayor entero, o si tienen el mismo entero será aquel que tenga el primer decimal mayor de izquierda a derecha, o si tienen el mismo se observa el siguiente decimal y así sucesivamente.
Para ordenar y comparar las cantidades es conveniente en primer lugar pasar todos los números a decimales. Para convertir una fracción en un decimal, debes dividir el numerador entre el denominador.
Entonces, en este caso el valor decimal de cada cantidad (o una aproximación) es:
23.4
15/20= 0.75
32.245
0.056
4/10= 0.4
50/100= 0.5
8/9= 0.8888
0.009
9/1000= 0.009
54.45
Entonces el orden de mayor a menor es:
54.45 ; 32.245 ; 23.4 ; 8/9 = 0.8888 ; 15/20 = 0.75 ; 50/100 = 0.5 ; 4/10 = 0.4 ; 0.056 ; 9/1000 = 0.009
>:)))))))))
i use u guys to get though exam
Answer:
B) 3/8
Step-by-step explanation:
Proportion/ Ratio:
3 pounds to 8 flower beds
3 : 8
3 / 8
what is x10=22130 bc i have no idea
Answer:
x = 2213
Step-by-step explanation:
We need to find the value of x, which is multiplied by 10. We know that 10x = 22130, so all we need to do is divide both sides by ten.
10x ÷ 10 = x
22130 ÷ 10 = 2213
Therefore, x = 2213
NOTE:
I'm not sure if you meant to type x10, because if so, that's an entirely new equation. If you just meant 10x, you can ignore this.
To solve this, you have to take the root of both sides and solve.
Exact Form:
x = 10 √ 22130 , − 10 √ 22130
Decimal Form: x = 2.71955684 … , − 2.71955684 …
Answer:
x = 2213
Step-by-step explanation:
22130/10 = 2213
Please help! I may have more to ask!!
Answer:
Perimeter = 26.85 in.
Step-by-step explanation:
Perimeter of a figure = Sum of the lengths of the boundaries of the figure
In the figure attached,
There is a parallelogram with side lengths 5 in, 7 in and 7 in.
And a semicircle with radius 'r' = [tex]\frac{5}{2}[/tex] = 2.5 in
Now the circumference of the semicircle = πr
= π(2.5)
= 7.85 in.
Now the perimeter of the total figure = 7 + 5 + 7 + 7.85
= 26.85 in.
Therefore, perimeter of the figure is 26.85 in.
Can someone help me understand what I am suppose to do on here? And or give me some answers with examples on how to get the answer.
Answer:
that makes no sence at all you are doing some weird work
The temperatures at four locations are 5°, –15°, –7°, and 0°.
Which list shows these temperatures from coldest to warmest?
A. –15°, –7°, 0°, 5°
B. 0°, 5°, –7°, –15°
C. 5°, 0°, –7°, –15°
D. –15°, –7°, 5°, 0°
Answer:
A
Step-by-step explanation:
Who can help me pronto i will give a brainliest
Answer:I think it would be C
Step-by-step explanation:
Answer:
1) B
-2x+y=4
+2x+3y=20.
4y=24
2) 4y=24. divide both sides by 4
y= 6
3) (Pick any equation you like, change y to 6)
-2x+6=4 subtract 6 to both sides
-2x=-2 divide by -2
x=1
or
2x+3(6)=20. --> 2x+18=20 subtract 18 to both sides
2x=2. divide by 2
x=1
4) (x,y) change the x and y to their values. (1,6)
Step-by-step explanation:
explained on top
if sin=3 by 5 and cos =4 by 5 find tan
Answer:
3/4Step-by-step explanation:
[tex]tan = \frac{sin}{cos } [/tex]
=3/5/4/5
=3/5 × 5/4
=15/20
=3/4
What is the quotient of 1+ 3 Over 4 and 2 over 5
Answer:
2 1/2
Step-by-step explanation:
(These are fractions)
1+3 ÷ 2
4 5
(Simplify)
4 ÷ 2
4 5
(Same denominator)
20 ÷ 8
20 20
(Divide)
2 1/2
A yard dart is thrown from a height of 3 feet with an initial velocity of 25 feet per second at an elevation angle of 70°.
How long is the dart in the air? Round to the nearest tenth
A. 0.7
B. 0.8
C. 1.5
D. 1.6
Answer:
D
Step-by-step explanation:
Plugged it into a projectile motion calc, got 1.58. So 1.6 (rounded).
165% as a fraction. PLEASE I NEED IT NOW
Answer:
33/20
Step-by-step explanation:
Answer:
1.65 is the answer just put a decimal
Elena says I find 25.44 and then move the decimal point
Answer: help a homegirl out
Step-by-step explanation: let me get these points please
If 39 is 5% of a number, what is that number? How did you find your answer?