x =1/3
Step-by-step explanation:25ˣ⁺¹ = 125/5ˣ
5²⁽ˣ⁺¹⁾ = 5³/5ˣ
5²⁽ˣ⁺¹⁾ = 5³ : 5ˣ
5²⁽ˣ⁺¹⁾ = 5³⁻ˣ
2(x + 1) = 3 - x
2x + 2 = 3 - x
2x + x = 3 - 2
3x = 1
x = 1/3
the sum of 2 numbers is 16, and the sum of their squares is 146. find the 2 numbers
Step-by-step explanation:
x + y = 16 (*)
x^2 + y^2 = 146 (**)
(*) <=> x= 16-y
substitute x = 16 - y
(**) <=> (16-y)^2 + y^2 = 146
<=> y^2 - 2.16.y + 16^2 + y^2 = 146
<=> 2y^2 - 32y + 110 = 0
<=> y^2 - 16y + 55 = 0
<=> (y-11)(y-5) = 0
<=> y=11 or y= 5
For y = 11, we have x= 16-11=5
For y=5, we have x= 16-5=11
Answer: (x,y) = (11,5) ; (5,11)
what is 700,000 is blank times as much as 700
Answer:
700,000 is 1000 times as much as 700
Step-by-step explanation:
700,000 divided by 700 is 1000
Answer:
The answer wouldn't be 100 but it would be 1000
Hoped I helped
0.78 × 30 = ⬜ please helppp
Answer:
23.4
Step-by-step explanation:
because when you multiply 0.78 times 30 you get 23.4
3 Question 4 (1 point) Binomial (x - 6) and trinomial (-2x2 + x + 9) are the factors of which of the following polynomials? - 2x^3+13x^2+3x-54 2x^2-3 2x^3+12x-3x+54 O-2x^2+15 Question 5 (1 point) Find the area of the shaded region.
Answer:
-2x^3 +13x^2 +3x -54
Step-by-step explanation:
The product is found using the distributive property.
(x -6)(-2x^2 +x +9) = x(-2x^2 +x +9) -6(-2x^2 +x +9)
= -2x^3 +x^2 +9x +12x^2 -6x -54
= -2x^3 +13x^2 +3x -54
PLEASE HELP ME I WILL GIVE BRAINLIEST!! 9 PLEASSSEEEE
Answer:
[tex]\frac{2}{9}[/tex]
Step-by-step explanation:
there is a four out of nine change to get a green marble
there is a 1/2 change to get heads
[tex]\frac{4}{9}[/tex]×[tex]\frac{1}{2} =\frac{2}{9}[/tex]
Check the month and dollar value that that when placed togther would form a correct ordered pair.
In April, Bob's Booksmart had a profit of $2,000. In May, the profit was $3,000 dollars. In June, the profit was $5,000.
Find the value of 2(1 + 4i) – (-2 + i)
Answer:
4+7i
Step-by-step explanation:
A machine is used to fill each of several bags with 16 ounces of sugar. If the bag
weights 0.3 ounces more or less than the desired weight, the bag is rejected. Write
this equation to find the heaviest and lightest bag the machine will approve.
Answer: 15.7oz < M < 16.3oz
Step-by-step explanation:
The average mass of each bag will be 16oz
If the bag weighs 0.3 oz more or less than 16 oz, then it is rejected.
Then the extremes are:
16oz - 0.3oz = 15.7oz (this mas counts as a rejected one)
So we have that the mass of the bag must be larger than 15.7oz
M > 15.7oz
Now, the other extreme is:
16oz +0.3oz = 16.3oz (again, this a rejected mass)
Then the mass of the bag must be smaller than 16.3oz
M < 16.3oz
Then the range of the accepted mass of the bags is:
15.7oz < M < 16.3oz
Type a simplified fraction as an answer. PLEASE ANSWER I AM BEGGING!!!!!!
Answer:
0.06944444444 as a fraction equals 6944444444/100000000000
What is the slope of the graph of y = 12x - 197
Answer:
Slope = 12Step-by-step explanation:
Since the equation above is a linear graph
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
From the question the equation is
y = 12x - 197
Comparing the equation with the general equation above
Slope / m = 12Hope this helps you
I need help I got this wrong
y = -2|x +1|
→ |x + 1| = -y/2
→ x+1 = y/2
and
x + 1 = -y/2
→ x + 1 belongs to R
→ x belongs to R
Domain = R
Range = y = -2(R)
→( -∞ , 0)
Area of square = 9 mm2
Perimeter of square=
Answer:
the perimeter of the square is 12 mm
Step-by-step explanation:
each side of the square is 3 mm
9 marbles your draw one what is the probability of drawing a red pen? You have 2 yellow 3 black and 4 reds
Answer:
4 / 9
Step-by-step explanation:
There are 4 reds out of 9 so the probability would be 4 out of 9 or 4 / 9.
Answer:
None
Step-by-step explanation:
Notice how it says red pens, not red marbles. There is no red pen
HELP
Which statement is true?
The diagram represents responses to a survey that
include statements p and g.
The number of responses for which pag is 20.
The number of responses for which pv gis 26.
The number of responses for which pig is 46.
The number of responses for which pv g is 66.
q
46
0
20
Answer:
the third one
Step-by-step explanation:
46 is the common number of p and q
the sign ∩ means the intersections of 2 sets
Liz earns a salary of $2,000 per month, plus a commission of 5% of her sales. She wants to earn at least $2,200 this month. Enter an inequality to find amounts of sales that will meet her goal. Identify what your variable represents. Enter the commission rate as a decimal.
Answer:
2000 + .05x >= 2200
Step-by-step explanation:
2000 is how much she already has
.05 is 5% of sales
x is the unknown amount of sales
2200 is how much she needs
The rate is just 5% increase.
(-4,-3) and (2,5)
to draw a line Click a senment to
Answer:
This is a graph problem
Step-by-step explanation:
on a ten by ten graph this is the included file
(sorry for my bad lines, i had to do this with a mouse0
Answer:
see the attachment for a graph
Step-by-step explanation:
We can't tell what your instructions are. Many graphing tools will let you click on the locations of the points, then draw a line through them. The attached image is from one such tool.
__
If you want to plot this by hand, you do it essentially the same way: plot the two points and draw a line through them.
If you want to write an equation for the line, you can start with the 2-point form:
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (5 -(-3))/(2 -(-4))(x -(-4)) -3
y = 8/6(x +4) -3
y = 4/3x +16/3 -9/3
y = 4/3x +7/3
__
Personally, about the only thing useful I find in this equation is that it tells you the slope is 4/3. You can determine the same thing by counting grid squares between the plotted points on the graph. The line goes up 8 for each 6 to the right, so slope = rise/run = 8/6 = 4/3.
A population of caribou in a forest grows at a rate of 6% every year. If there are currently 258 caribou, which function represents the number of caribou in the forest in t years?
Answer:
P(t) = 258( 1 + 6%)^t
Step-by-step explanation:
Given that the population of caribou in a forest grows at a rate of 6% every year. If there are currently 258 caribou, the function representing the number of caribou in the forest in t years will be
P(t) = 258( 1 + 6%)^t
Since it is increasing, it will be 1 + 6%
Where P(t) is the function representing the population after t years.
258 is the current or initial population.
A fisherman positions his net to -8 relative to the surface of the water. how far does he need to raise the net to bring it to the surface of the water?
Answer: If i am correct the answer should be 9-10 because if it is -8 it takes 8 to bring it to 0 and it takes 9 to bring it to 1 and it takes 10 to bring it to 2.
Hope this helps!
put them in order0.25,1/9,6/5
Answer:
1/9 < 0.25 < 6/5
Pls help ASAP, I will make you brainliest (number 13.)
Answer:
Hey there!
60x=360
x=6
Let me know if this helps :)
Hi there! :)
Answer:
Formula: 60t = 360
Solved: t = 6 hours.
Given:
Speed of car = 60 mph
Total distance = 360 miles
Remember, the formula to solve for time (t) given distance (d) and speed (s) is t = d / s, or t · s = d.
Substitute in the known values, and let "t" represent the time needed:
60 · t = 360
Solve:
60t/60 = 360/60
t = 6 hours.
The double number line below shows the price for a certain number of packs of popcorn at a store. Which statement correctly gives and explains the price of 9 packs of popcorn? Two number lines are shown one above the other. The number line on the top is labeled and marked at 2, 4, 6, 8. On the left of this number line is written Packs of Popcorn. The number line below it is labeled and marked at 14, 28, 42, 56. On the left of this number line is written Price of Packs in brackets dollar sign $18, because the price of each pack is $2 $63, because the price of each pack is $7 $108, because the price of each pack is $12 $126, because the price of each pack is $14
Answer: B) $63, because the price of each pack is $7
Step-by-step explanation:
Packs of Popcorn 2 4 6 8
Price of Packs 14 28 42 56
We can see that the rate is constant between each set of numbers in the table.
[tex]\dfrac{price}{packs}:\dfrac{14}{2}=\dfrac{28}{4}=\dfrac{42}{6}=\dfrac{56}{8}=\$7\ \text {per pack}[/tex]
$7 per pack x 9 packs = $63
Answer:
b
Step-by-step explanation:
Translating verbal expression: the sum of 15 and a number x.
Answer:
x+15 or 15+x
Step-by-step explanation:
it doesn't really matter since the commutative property.
sum = addition
15 = one term
number x = second term
find the value of
a if 3x+ay=6
Answer:
[tex]\huge\boxed{\sf a = \frac{6-3x}{y} }[/tex]
Step-by-step explanation:
3x + ay = 6
Subtracting 3x to both sides
ay = 6 - 3x
Dividing both sides by y
[tex]\sf a = \frac{6-3x}{y}[/tex]
Use calculator to evaluate each expression. sin²36° + cos² 36°
Answer:
1 because sin2theta + cos2theta is equal to 1
Step-by-step explanation:
A. 280 degrees
B. 190 degrees
C. 100 degrees
D. 350 degrees
Answer:
350° is ur answer mate...
“find the value of x” please help i know the answer i just don’t know HOW to do it
Answer:
Hey there!
2x+9+103=180
2x+112=180
2x=68
x=34
Let me know if this helps :)
Answer:
34 degrees
Step-by-step explanation:
(2x+9) degrees and 103 degrees form a linear pair
Therfore, the sum of these two angles = 180
(2x+9)+103=180
=>2x+112=180
=>2x=180-112
=>2x=68
=>x=68/2
=>x=34
The value of x is 34 degrees
A town built a scale model of the ancient construction of Stonehenge based on the original construction
found in Wiltshire, England. The scale of the model to the original is 5 to 9. The Altar Stone of the original
construction is 49 meters tall. Find the height of the model of the Altar Stone. Round your answer to the
nearest hundredth.
Answer:
27.22 m
Step-by-step explanation:
The scale factor is:
9/5= 1.8Height of the model according to scale factor:
49/1.8 = 27.22 methan made a rectangular prism that has a volume of 16 cubic inches. What is one set of possible dimensions for ethans rectangular prism?
Answer:
0.5 inches by 0.5 inches by 64 inches
Step-by-step explanation:
Any three positive dimensions that have a product of 16 will be a set of possible dimensions. There are an infinite number of them. One such is listed above.
(If you have a list of answer choices, you can multiply them out to see which have a product of 16. We cannot guess what your choices might be.)
Amy regularly works 20 hours per week at Pook's Dry Cleaners from Monday through Friday. She earns $15.50 per hour and receives double-time pay for working Sundays. Next week she will work her regular 20 weekday hours, and an additional eight hours on Sunday. What will her total pay be for the week
Total amount she earn is $558
Multiply based problem:Given that;
Payment per hour on weekdays = $15.50
Payment per hour on Sunday = 2($15.50) = $31
Hour work on Sunday = 8 hour
Hour work on weekdays = 20 hour
Find:
Total amount she earn
Computation:
Total amount she earn = (20)(15.50) + (8)(31)
Total amount she earn = $310 + 248
Total amount she earn = $558
Find out more information about 'Total earning'.
https://brainly.com/question/25788016?referrer=searchResults
A cylindrical well has a radius of 10 feet and a height of 12 feet. How many cubic feet of water will it take to fill the well?
Assume that π = 3.14 and round to the nearest tenth when necessary.
Answer:
3769.91
Step-by-step explanation:
volume = π[tex]r^{2}[/tex]h
volume = 3.14(10 * 10) (12)
volume = 3769.91