Answers
9514 1404 393
Answer:
x ≈ -0.5416
Step-by-step explanation:
As with any "solve for ..." problem, you essentially want to "undo" what has been done to the variable of interest. Here, if you were to evaluate the left-side expression (where the variable is) for some value of x, you would ...
multiply by 10add 7raise 9 to that powermultiply by 2add 5You want to "undo" these operations in reverse order. That is, you work from the bottom of this list toward the top, using inverse operations along the way.
The inverse of addition is subtraction; the inverse of multiplication is division. The inverse of raising to a power is taking a logarithm.
undo add 5
[tex]2\cdot9^{10x+7}+5-5=70-5\\2\cdot9^{10x+7}=65[/tex]
undo multiply by 2
[tex]\cfrac{2\cdot9^{10x+7}}{2}=\dfrac{65}{2}\\\\9^{10x+7}=32.5[/tex]
undo raise to a power (take logarithms)
[tex](10x+7)\log(9)=\log(32.5)\\\\10x+7=\dfrac{\log(32.5)}{\log(9)}\quad\text{equivalent to $\log_9(32.5)$}[/tex]
undo add 7
[tex]10x+7-7=\dfrac{\log(32.5)}{\log(9)}-7\\\\10x\approx -5.41562[/tex]
undo multiply by 10
[tex]\dfrac{10x}{10}\approx\dfrac{-5.41562}{10}\\\\x\approx-0.541562\\\\\boxed{x\approx-0.5416}\quad\text{rounded to 4 dp}[/tex]
Answer:
x=0.5416...................
Related Questions
Sam opened a saving account with a deposit and then started saving the same amount each
month. After 3 months Sam had $325 in he account. After 7 months she had $625 in her
account. Write an equation for this situation.
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What is the Total number of Outcomes for a family of 3 with having boys and girls?
Answers
There are 8 possible outcomes, all equally likely (if we assume each gender is equally likely). Hence the choice is 3/8. We can also think about it in at least one more way: You identified all the possible ways to get 2 boys and one girl.
Ashley and Emma are reading the same article. Ashley is on page 1 of the article, but she can read 1 page per minute. Emma is already on page 5, but reads a page every 3 minutes.
What page is Ashley on after 5 minutes.
What equation can be used to represent the amount Emma has read?
How many minutes does it take before Ashley and Emma have read the same amount
Answers
Answer:
Part A)
Ashley will be on the sixth page.
Part B)
[tex]\displaystyle p=\frac{1}{3}m+5[/tex]
Part C)
Six minutes.
Step-by-step explanation:
Ashley is on the first page and she can read one page per minute.
Emma is on the fifth page and she can read one page every three minutes.
Part A)
We can write an equation for Ashley. Let m represent the amount of minutes that has passed.
Since she is already one the first page, our initial value is 1.
She reads one page every minute. So, after m minutes, she would have read m pages.
Therefore, our equation is:
[tex]p=m+1[/tex]
Where p is the total pages read after m minutes.
Then after five minutes, Ashley will be on the:
[tex]p=(5)+1=6[/tex]
Ashley will be on the sixth page after five minutes.
Part B)
Since Emma reads one page every three minutes, we can say that she reads 1/3 of a page every minute.
Since she started on page five, her equation is:
[tex]\displaystyle p=\frac{1}{3}m+5[/tex]
Part C)
So, both of their pages read must be equivalent. Therefore:
[tex]\displaystyle m+1=\frac{1}{3}m+5[/tex]
Solve for m. Subtract 1/3m from both sides:
[tex]\displaystyle \frac{2}{3}m+1=5[/tex]
Subtract 1 from both sides:
[tex]\displaystyle \frac{2}{3}m=4[/tex]
Finally, multiply both sides by 3/2:
[tex]\displaystyle m=4\Big(\frac{3}{2}\Big)=6[/tex]
So, it will take six minutes before Ashley and Emma have read the same number of pages.
sarah has 3 dozen eggs. she sold 3/4 of her eggs, how many eggs did she sell?
Answers
Answer:
27
Step-by-step explanation:
Help please! I asked this question three times and my session is about to start I really need to submit it.
* can you write the answer as a text?
The question will be in the picture (13,16,17,19)
Answers
Answer: 13) 6
I dont know 16 or 17
19) 33
Step-by-step explanation:
How many solutions does the equation −2a + 2a + 7 = 8 have?
One
Two
None
Infinitely many
Answers
Answer:
None.
Step-by-step explanation:
let's check it
- 2a + 2a + 7 = 8
7≠ 8
So there's no solution for the given equation.
please help me on this question. I forgot how to do it
Answers
Answer:
141
Step-by-step explanation:
Area of triangle = 24
Area of Trapezoid= 117
117+24
141
What is the amplitude of the function?
Answers
Answer:
Step-by-step explanation:
The amplitude is half of the range.
a=(maximum-minimum)/2, in this case
a=(2-(-4))/2
a=6/2
a=3
Please help me I tired of keep asking. If you have a heart you would help me and give me the right answer Please (NO LINKS) (NO LYING )
Answers
Answer:quit
Step-by-step explanation:that looks lard
What is 1/5 x 2 multiplying fractions with whole numbers
Answers
Answer: 0.4
Have a nice day!
Answer:
0.4 or 2/5
Step-by-step explanation:
You can solve this question by doing [tex]\frac{1}{5}[/tex] x [tex]\frac{2}{1}[/tex] to get the answer of [tex]\frac{2}{5}[/tex] or 0.4.
Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes
Answers
Answer:
Step-by-step explanation:
(h+2)+9
b-(6-4)
How many negative real zeros does f(x) = x^5 - 2x^4 - 4x^3 + 4x2 – 5x + 6 have?
A. 3
B. 2
C. 1
D. 0
Answers
A student answered 43 questions correctly in a 53 questions test. What
percent is that?
Round your answer to the nearest whole.
%
Answers
Answer: 81%
Step-by-step explanation: I think i'm right
You and a friend were invited to a party you both were asked to bring pizzas and chips
Answers
What is the full question!?
Answer:
Then if each would bring 1 of each so there would be 2 pizzas and 2 bag of chips
Step-by-step explanation:
lol id.k/ if this was supposed to be a joke but here I am ◑﹏◐
which shape is a parallelogram
Answers
Answer:
the rectangel
Step-by-step explanation:
Answer:
rectangle
A parallelogram means it has alteast 2 pairs of equal sides, and the rectangle has to, 1 at the top and bottom which are the largest, and one the sides there is another one on the left and right which are smaller in size then the other one.
Write the expression in standard form.(4x - 3 + 2y) - (-4y + 2)*
Answers
Answer:
4x - 3 + 2y) - (-4y + 2) = 4x - 5 + 6y
Here. I think this is correct
Have a nice day.
ps:can you do me the brainliest.
Which number line represents the solution of 5X < 30
Answers
Answer:
Step-by-step explanation:
Answer:
BRO, where are the number lines, can't help you if you dont put the number lines
IXL 6th grade FF.1
Im having truoble need some hellllllpppp!!?!!!
Pleas..
Answers
Answer:
p=5
Step-by-step explanation:
if 5+3 = 8
13-8=5
and both sides of the triangle need to be the same
Answer:
its 5
Step-by-step explanation:
5 + 3 + p = 13
p=5
GAtyyyyyrtrrreererwrqweqweqweqweqweqdew
Answers
what is this bro :))))))))))))?
Answer:
what's your questions
Step-by-step explanation:
please give me brain list and follow
WORTH 35 POINTS!!! Annie’s dad travels for business. On Monday, he drives for 4 hr. at a constant rate of 55 mph to meet with a customer. On Tuesday, he drives 3 hr. at a constant rate of 50 mph to meet with his district sales manager. On Wednesday, he drives 2 hr. at a constant rate of 60 mph to pick up supplies at the warehouse. How many miles does Annie’s dad drive total before he heads for home?
A. 120 mi.
B. 150 mi.
C. 220 mi.
D. 490 mi.
Answers
Answer:
220mi
Step-by-step explanation:
Annie's dad drove a total of 490 miles before heading home. The correct option is D.
What is the distance?Distance is defined as the product of speed and time.
We can use the formula distance = rate x time to calculate the distance for each day.
On Monday, he drove for 4 hours at 55 mph, so the distance he traveled was:
distance = 55 mph x 4 hours = 220 miles
On Tuesday, he drove for 3 hours at 50 mph, so the distance he traveled was:
distance = 50 mph x 3 hours = 150 miles
On Wednesday, he drove for 2 hours at 60 mph, so the distance he traveled was:
distance = 60 mph x 2 hours = 120 miles
To find the total distance, we can add up the distances for each day:
220 miles + 150 miles + 120 miles = 490 miles
Therefore, Annie's dad drove a total of 490 miles before heading home.
Learn more about distance here:
brainly.com/question/13269893
#SPJ3
Can someone provide some assistance.
Answers
Answer:
m<E=120°
m<T=60°
Step-by-step explanation:
10m+4m+12=180
14m=168
m=12
m<E=10m=10(12)=120
m<T=4m+12=4(12)+12=48+12=60
Answer:
Solution given:
10m+4m+12=180°[sum of opposite angle of cyclic quadrilateral is supplementary]
14m=180-12
m=168/14=12
m<E=10×12=120°
m<T=4×12+12=60°
x^4 − 3x^2 − 90 x= -3
Answers
Answer:
-36
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
x⁴ - 3x² - 90
x = -3
Step 2: Evaluate
Substitute in x: (-3)⁴ - 3(-3)² - 90Exponents: 81 - 3(9) - 90Multiply: 81 - 27 - 90Subtract: 54 - 90Subtract: -36The Leaning Tower of Pisa makes an 84.5° angle with the ground. 11844.59 What is the supplement to this angle? O 90° 0 95.5 84.5° O 5.5°
Answers
Answer:
(b) 95.5°
Step-by-step explanation:
The supplement is found by subtracting the angle measure from 180°.
180° -84.5° = 95.5° . . . . supplement to given angle
what is the solution to the system of equations?
3x - 6y = -12
2x - 4y = -16
please help!!
Answers
x
x in
3
x
−
6
y
=
−
12
3x−6y=−12.
x
=
2
y
−
4
x=2y−4
2 Substitute
x
=
2
y
−
4
x=2y−4 into
2
x
−
4
y
=
−
16
2x−4y=−16.
−
8
=
−
16
−8=−16
3 Since
−
8
=
−
16
−8=−16 is not true, this is an inconsistent system.
No Solution
A catering company charges a flat fee of 120$ to cater an event...
Answers
Identify all the acute angles in the figure.
Answers
Acute angle is an angle under 90 degrees
I don’t know what to do
Answers
Answer:
okay so, everytime you see anything that says "a number", that will automatically mean that there is a number in the equation that u dont know, so instead of putting a random number in its place, you put an "exponent" aka a letter like "x" for example. so it says, 12 is the sum of a "number" and 3, that means 3 plus a number gives u 12, you would have to make an equation to find the "number" so the equation would be "3 + x = 12".
Step-by-step explanation:
help with math please it means the world to me!!
Answers
Answer:
10 units^2
Step-by-step explanation:
7 ft equals blank inches
Answers
Answer:
it is 84 inches all together
Answer:
84 inches
Step-by-step explanation:
have a good day
may i please get a branlillest
−4.5=−0.5(x−7.1)
solve for x and teach me how to give brainliest
Answers
-4.5 = -0.5x + 3.55
-3.55 -3.55
——————————
-8.05 = -0.5x
———————
-0.5
X = 16.1