If 10x +5 = 100, then x is less than 10 without solving the equation, x will be multiplied with 10, and if 10 is mulptiplied with 10, it will givess 100, then 100 plus 5 will give 105 which is more than 100.
How can this be calculated?given the equation as 10x +5 = 100
then the equation can be rearranged as 10x = 100 - 5
this can be rearranged by substracting 5 from 100, which is
10x = 95
then we can make x the subject of the formula as
x=95/10
= 9.5
hence x= 9.5
Therefore, if 10 is mulptiplied with 10, it will givess 100, then 100 plus 5 will give 105 which is more than 100.
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HELPP
the equation is y=(1/3)^x
Answer:
For a function y = f(x), the domain is the set of the possible values of x that we can input, while the range is the set of the possible outputs of the function.
In this case we gave y = f(x) = (1/3)^x
A) Domain
To see the domain we always start assuming that the domain is the set of all real numbers, and then see if there is a real number that causes any problem.
(for example if we had a denominator like "x - 2", the point x = 2 would cause problems because it would make the denominator equal to zero, and we can not divide by zero)
Particularly because x is the exponent, we do not have any problem here, so the domain is the set of all real numbers:
D: = R
B) Range.
To find the range we usually need to find the smallest value of the function.
Here we have:
y = (1/3)^x
Is really easy to see that as x increases, the denominator increases but the numerator remains the same, then as x increases, the value of y decreases.
For example for x = 100 we will have:
y = 1/3^100 ≈ 0
(you also can see that y will never be a negative value, and as x increases the value of y tends to zero)
then:
0 < y
And if we have x negative, like x = -3 for example.
y = (1/3)^-3 = (3/1)^3 = 3^3 = 27
So if x decreases (or increases in the negative value) then the value of y increases, so we do not have any upper limit.
Then the range is only defined by
0 < y.
We can write the rane as:
R: (0, ∞)
C) The y-intercept is the value of y when x= 0
y = (1/3)^0 = 1
(for any number different than zero N, we have that N^0 = 1)
the y-intercept is 1
D) The asymptote is a tendency to a given value, such that the function never does reach that value.
Here we have two asymptotes.
y tends to infinity as x tends to negative infinity.
y tends to zero as x tends to infinity.
The length of a rectangle is 6 inches longer than its width. The perimeter of the rectangle is 28 inches. If x represents the
width of the rectangle in inches, which equation can be used to find its value?
Answer:
2(x + (x+6)) = 28
Step-by-step explanation:
2x+2x+12 = 28
4x + 12 = 28
4x=16
x=4
width = 4
length = 10
Answer:
d. 2(x + 6) + 2x = 28
Step-by-step explanation:
Equipment with a cost of $634800 has an estimated salvage value of $30000 and an estimated life of 4 years or 14400 hours. It is to be depreciated by the straight-line method. What is the amount of depreciation for the first full year, during which the equipment was used for 3600 hours?
Answer:
$151,200
Step-by-step explanation:
According to the problem, calculation of the given data are as follows,
Cost of Equipment = $634,800
Salvage Value = $30,000
Estimated Life = 4 years
So, we can calculate depreciation for first year by using following formula,
Amount of depreciation = Depreciable base amount ÷ Estimated Life
Where, Depreciable base amount = Cost of Equipment - Salvage Value
= $634,800 - $30,000 = $604,800
By putting the value, we get
Amount of depreciation = $604,800 ÷ 4
= $151,200
How much of a radioactive kind of protactinium will be left after 3 minutes if the half-life is 1 minute and you start with 352 grams?
Answer: 44g
Step-by-step explanation:
Half life refers to the length of time it takes for half of the atoms of the element in question to decay.
The half life here is 1 minute which means that in a minute, the amount of protactinium left would be:
= 352 / 2
= 176g
After the second minute:
= 176 / 2
= 88g
After the third minute:
= 88 / 2
= 44g
If you inflate a beach ball with 14,130 cubic inches of air, what will its radius be? Use 3.14 for T. Round to the nearest whole number if necessary.
Answer:
58
Step-by-step explanation:
if f(x) = -4(9/8)x, then what is the sum of its y-intercept and its value where x=1?
Answer:
when X=1 y = -9/2
Step-by-step explanation:
[tex] - 4 < \frac{9}{8} > {}^{1} = - 4 < \frac{9}{8} > = - \frac{ 36}{8} = - \frac{9}{2} [/tex]
A certain building has a triangular shaped face to link up of the sides of the triangular base or 145 feet 257 feet in 290 feet five find the area of the base of the building
Answer:
18617.66 ft^2
Step-by-step explanation:
sides of triangular base
a= 145ft ,
b = 257ft ,
c = 290ft
calculate the area of the base
The base is a scalene triangle hence the area is calculated as follows
s = ( a + b + c ) / 2
= ( 145 + 257 + 290 ) / 2 = 346
Area of triangle = [tex]\sqrt{s(s-a)(s-b)(s-c)} = \sqrt{346(201)(89)(56)}[/tex]
= 18617.66 ft^2
A construction company ordered 45 wood beams for a new project. Each beam
was 22.5 ft long. What was the total length of all of the beams put together?
Write your answer in yards.
What is the value of x?
26°
to
O
X
= [ ? ]
Answer:
154°Step-by-step explanation:
The central angle and the angle between the tangents are supplementary, so
x + 26° = 180° ( subtract 26° from both sides )
26 - 26 = 0
180 - 26 = 154
x = 154°
Answer: 154
Step-by-step explanation: 26 + x = 180, subtract 26 from both sides, x = 154
Write the first six terms of the sequence, beginning with n=1. a(n)=60n Enter the numbers, separated by commas.
Answer:
60, 120, 180, 240, 300, 360
Step-by-step explanation:
a(n)=60n
At n =1
a(1) = 60(1) = 60
At n = 2
a(2) = 60(2) = 120
At n = 3
a(3) = 60(3) = 180
At n = 4
a(4) = 60(4) = 240
At n = 5
a(5) = 60(5) = 300
At n = 6
a(6) = 60(6) = 360
60, 120, 180, 240, 300, 360
HELP BRAINLEST GUARANTEED
Answer:
6% , 800$
Step-by-step explanation:
to answer the question we can use this proportion :
x : 100 = 30 : 500
x = (100*30)/500
x = 6%
for calculate the amount after 10 years we can use this formula
A = P(1+rt)
where P indicates the initial amount, r the rate (in decimal) and t the time of investment
A = 500(1 + 0,06 x 10) = 500(1 + 0,6) = 500(1,6) = 800 $
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!
Answer:
x = 10, y ≈ 11.2
Step-by-step explanation:
Hi there,
We can find the length x first since we are given the lengths of the other two sides of the bottom right triangle. In order to find the length of x, it is important to know the Pythagorean Theorem and the fact that x is the hypotenuse.
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex] ← Pythagorean Theorem
To find x:
[tex]6^{2}[/tex] + [tex]8^{2}[/tex] = [tex]c^{2}[/tex]
100 = [tex]c^{2}[/tex]
c = 10
Therefore, the value of x is 10.
To find y:
We now know the length of two sides of the upper right triangle. The value of y can be found by using the theorem again.
[tex]a^{2}[/tex] + [tex]10^{2}[/tex] = [tex]15^{2}[/tex]
[tex]a^{2}[/tex] + 100 = 225
[tex]a^{2}[/tex] = 125
a = [tex]\sqrt{125}[/tex]
a = 11.2 when rounded to the nearest tenth.
Therefore, the value of y is approximately 11.2.
Hope this explanation is useful. Cheers.
6x2 + 28x - 2 = 2x - 10
Answer:
x = -1/3 or x = -4
Step-by-step explanation:
Answer:
x= [tex]\frac{-1}{3}[/tex]
x= -4
Step-by-step explanation:
[tex]6x^2+28x-2=2x-10[/tex]
Subtract 2x - 10 from both sides.
[tex]6x^2+26x+8=0[/tex]
[tex]x= \frac{ -(26) +/ \sqrt{(26)^2-4(6)(8)} }{2(6)}[/tex]
x= [tex]\frac{-26 +/\sqrt{676-4(6)(8)} }{2(6)}[/tex]
x= [tex]\frac{-26 +/ \sqrt{676-192} }{2(6)}[/tex]
x= [tex]\frac{-26+/\sqrt{484} }{2(6)}[/tex]
x= [tex]\frac{-26+/22}{12}[/tex]
x= [tex]\frac{-26+22}{12}[/tex] = -0.33333333333333 = -1/3
x= [tex]\frac{-26-22}{12}[/tex]= -4
HELPPPP
What is the value of x in the figure at the right?
Answer:
B) 24
Step-by-step explanation:
This angle adds to 90 degrees, so to solve for x you need this equation:
(2x) + 42 = 90
Subtract 42 from both sides to get:
2x = 48
Divide 2 from both sides to get:
x = 24
Hope it helps!!!
Question:
A group of health researchers survey a SRS of 300 teenagers, of whom 120 have low weekly outdoor activity levels and 180 have high weekly outdoor activity levels. Suppose that 35 percent of teenagers with low outdoor activity levels have allergies, and that 41 percent of teenagers with high outdoor activity levels have allergies. The researchers want to see the difference between the sample proportions. What will be the shape of the sampling distribution be and why?
Choices:
A. Approximately normal, because we expect 105 successes and 195 failures from teenagers with low levels, and 123 and 177 from teenagers with high levels, and all of these counts are at least 10.
B. Approximately normal, because we expect 42 successes and 78 failures from teenagers with low levels, and 73.8 and 106.2 from teenagers with high levels, and all of these counts are at least 10.
C. Not normal, because we expect fewer than 10 failures in both samples.
D. Not normal, because we expect fewer than 10 successes in both samples.
Answer:
B
Step-by-step explanation:
HELP ASAPPP PLEASE AND IF U DO NOT KNOW THE ANSWER DONT ANSWER
———————-
A. small
B. medium
C. large
D. x-large
Answer:
he should bring more medium size
Step-by-step explanation:
please brainliest I was the first answer
Hey I'm taking a math exam tomorrow please send words of encouragement please answer.
Answer:
did you study????? well if u did then why u scareddd shortteee.
for brainiest:):):):):):):):):):):):)
Answer:
a) 12.5 in
b) 9.6 ft
Step-by-step explanation:
Since the scale is 2:5, you can use cross multiplication. 5*5=2x; 25=2x. Divide 2 on both sides and.. BOOM! you get 12.5.
You can do the exact same thing with the second blank. 2*24=5x; 48=5x. Divide 5 on both sides and you get... 9.6 feet!
Hope this helps! :)
Which of these number sentences is NOT true?
Answer:
I’m pretty sure it’s D
Step-by-step explanation:
A. Lets convert millimeters into kilometers.
[tex]1cm = 10mm \\ 10mm = 1cm \\ 10 \times 30 = 1 \times 30 \\ 300mm = 30cm \\ 30cm > 3cm[/tex]
since 4000000mm = 4km, A is true. (Not the answer)
B. Lets convert millimeters into centimeters.
[tex]1cm = 10mm \\ 10mm = 1cm \\ 10 \times 30 = 1 \times 30 \\ 300mm = 30cm \\ 30cm > 3cm[/tex]
Since 300mm > 3cm, B is true. (Not the answer)
C. Lets convert millimeters to meters.
[tex]1000mm = 1m \\ 1m = 1000mm \\ 1 \times 5 = 1000 \times 5 \\ 5m = 5000mm[/tex]
Since 5m = 5000mm, C is NOT true. (Answer)
D.Lets convert metres to kilometres.
[tex]1km = 1000m \\ 1 \times 2 = 1000 \times 2 \\ 2km = 2000m \\ 2km < 20km[/tex]
Since 2000m < 20km, D is true. (Not the Answer.)
What is the y-value when x = 0 in the function below? y = 8x + 7
Answer:
7
Step-by-step explanation:
8 x 0 = 0
0+7=7
Answer:
Y = 7
Step-by-step explanation:
Since X is 0, 8 times 0 is still 0. That leaves 0+7, which is 7. Y is equal to 7.
Help
This is big
Plsss
Answer:
The answer for this would be:
Sin P = Opp/Hyp
Sin P = 55/73
Answer = 55/73
Please mark my answer as brainliest for further answers :)The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges
$2490 to rent trucks plus an additional fee of $200.75 for each ton of sugar. The second company charges $4500 to rent
trucks plus an additional fee of $100.25 for each ton of sugar.
For what amount of sugar do the two companies charge
the same?
What is the cost when the two companies charge the
same?
I think it's how you do this!
5495 + 200.75x = 7500 + 100.50x
100.25x = 2005
x=20 <- the amount of sugar at the equilibrium point.
7500 + 100.50(20)
7500 + 2005
$9505 <- the cost at that point. ■
No links!!! Math help. Urgent
Find the lateral area and surface area of the following figure
Round to the nearest hundredth if necessary
Answer:
lateral surface area of cone =πrl=3×8.5π=80.11in²
total surface area of cone =πr(r+l)=π×3(3+8.5)=108.38in²
PLZS HELP I NEED IT BY TODAY!
I need help please !
Answer:
Step-by-step explanation:
Remark
The lone dot on the graph that is between 8 and 9 thousand meters is Mount Everest. I think a good estimate is 8200 meters. Remember, this is just an estimate. You don't have to get it exactly right.
Question
How close is your estimate? When you look it up, Mt. Everest is given as 8849 meters, but don't use that number. They are looking for a number that is under 8500. Estimates are just that -- estimates.
Suppose you have $20 in your bank account. You start saving five dollars each week. Your phone has $170 and removes $10 each week. When will you and your friend have the same amount in your account?
Please help will mark brainliest:)
It's about 5 AM, haven't slept in 28 hours, need help.
Answer:
2nd option
Step-by-step explanation:
8[tex]x^{4}[/tex] - 4x³ - x + 2 - (2[tex]x^{4}[/tex] - 8x² - x + 10) ← distribute by - 1
= 8[tex]x^{4}[/tex] - 4x³ - x + 2 - 2[tex]x^{4}[/tex] + 8x² + x - 10 ← collect like terms
= 6[tex]x^{4}[/tex] - 4x³ + 8x² - 8
AHHH Please help me!.
Answer:
30 degrees
hope it helps