Answer: 9^-16
Step-by-step explanation:
If an exponents have the same base and are being multiplied together, all you do is just add the exponents and make the base stay the same
9[tex]9^{-53} * 9^{37} = 9^{-16}[/tex]
Negative exponents can be rewritten as positive exponents if you put them in the denominator.
[tex]x^{-a}=\frac{1}{x^a}[/tex]
Using this rule, we can rewrite the equation.
[tex]9^{-53}*9^{37}=\frac{1}{9^{53}}*9^{37}[/tex]
[tex]\frac{9^{37}}{9^{53}}[/tex]
Then, we can use exponent division rules.
[tex]\frac{x^a}{x^b}=x^{a-b}[/tex]
[tex]\frac{9^{37}}{9^{53}}=9^{37-53}[/tex]
[tex]9^{-16}[/tex] or [tex]\frac{1}{9^{16}}[/tex]
Hope this helps.
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Given f(x) = x2 - 10x + 22, what is the domain of f
The domain of function f (x) = x² - 10x + 22 is, (-∞, ∞).
What is Function?A relation between a set of inputs having one output each is called a function.
Given that;
The function is,
⇒ f (x) = x² - 10x + 22
Now, We know that;
Domain of a function is defined as a set of value for which the value of function is real and defined.
Here, There is no points for x where the function f(x) is non defined.
Hence, Whole number line is the domain for the given function.
So, The domain of function f (x) = x² - 10x + 22 is, (-∞, ∞).
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What minus 5 equals 14
Answer:
19
Step-by-step explanation:
All you have to do is add 14 to 5 to find out x-5=14
-3(4x+2)=18 WHAT IS IT????
Answer:
x = -2
Step-by-step explanation:
-3(4x + 2) = 18
Divide by -3:
-3(4x + 2) / -3 = 18 / -3
4x + 2 = -6
Subtract 2:
4x + 2 - 2 = -6 - 2
4x = -8
Divide by 4:
4x / 4 = -8 / 4
x = -2
6. Which units do we use when calculating the perimeter? (select all that
apply)
-millimetres
-kilogram
-metres
-centimetres
-kilometres
Answer:
The perimeter is a distance so all length units apply
● millimeters
● meters
● centimeters
Find the missing angles with reasons.
Answer:
C and D
Step-by-step explanation:
C) C = [360 - 148(2)] divide 2
= 32 degrees
Explanation: 148 and C is an opposite angle so the angles oppose to it has the same value
D) h = 76
Explanation: opposite angles
I = 76
Explanation: transverse angles
j = [360 - 76x2] divide 2
= 104 degrees
Explanation: same as C
Hope this helps!
Corinna has $72. She wants to buy a $281 plane ticket. She will save up her earnings from working at the museum where she earns $19 per hour. Which inequality shows the number of hours, n, Corinna must work so that she has a total of at least $281? A. n ≥ 11 B. n ≤ 10 C. n ≥ 10 D. n ≤ 11
Answer:the correct answer is b
Step-by-step explanation:
Owen follows the rule "divide by 2" to write the pattern below . He will write two more numbers to complete the pattern. Which statement is true? 800,400,200,100,_____
Answer:
50,25
Step-by-step explanation:
you continue to divide by 2 so 100/2 is 50 then 50/2 is 25
if x=7+4√3,find the value of √x+¹/√x
Use the distributive property: (5x - 3y + 4)6
Answer:
30x - 18y + 24
Step-by-step explanation:
When the distributive property is in play, you multiply all the numbers in the parenthesis by the number that's right next to it. In this case, you're multiplying 6 to all of the numbers in the paranthesis (5x - 3y +4).
What is the image of (-12,-3) after a dilation by a scale factor of 1/3 centered at the origin?
Answer:
(-4, -1)
Step-by-step explanation:
Multiply both coordinates by 1/3 which is the same as dividing by 3.
Answer: (-4, -1)
1 gallon is around 3.8 liters. State this as a ratio of liters to gallons, in the form a:b. Give your answer in simplest form
The ratio of liters to gallons in simplest form is 5 : 19.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, 1 gallon is around 3.8 liters.
So, The ratio of liters to gallons in a : b form is 1 : 3.8
Or, 10 : 38,
Or 5 : 19.
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Which of the following numbers is a whole number?
O 03
02
0-8
3
Mara found the length of time of an investment. The principal of the investment was $4,300, the interest rate was 6.2 percent, and the interest was $2,666. Mara made an error in her work. I = p r t. 2666 = (4300) (0.062) t. 2666 = (266.6) t. StartFraction 266.6 over 2666 EndFraction = t. 0.1 = t. What was Mara’s error?
Answer: Maria did not divide correctly
Step-by-step explanation:
Answer:
Maria did not divide correctly
Step-by-step explanation:
Does anyone know what the answer is
Answer:
cheating in entrance
Step-by-step explanation:
circumference: 14π
area: 49π
Answer:
nope
Step-by-step explanation:
PLS HELP
what would be an appropriate level for the dependent variable on this graph?
Answer:
Y-axis = scoops sold
X-axis = month
help on absolute value!
Answer:
9
Step-by-step explanation:
we have
[tex]|\frac{27}{-3}|\\\\=|-9|[/tex]
and absolute value of -9 is 9
so answer is 9
PLEASE HELP, Find the slope of the following lines :D
factorise 7a + 14b + ax + 2bx
Answer:
Step-by-step explanation:
7(a + 2b) + x(a + 2b)
(7 + x)(a + 2b)
Answer:
(7 + x)(a + 2b) This is most simplified it can be
please help ! ALGEBRA 1
Answer:
Option B is the correct answer.
Step-by-step explanation:
[tex]0. \overline{79} + \pi[/tex]
Here [tex] 0.\overline{79}[/tex] is a rational number and [tex] \pi[/tex] is an irrational number whose sum gives irrational number.
Answer:
Te answer would be to tenth of PIE so 0.79 would be ruled out
Step-by-step explanation:
What is the base in -5x2
Answer:
Step-by-step explanation:
10 lol
Multiply (6 − 7i)(3 − 6i).
Answer:
-24 - 57i
Step-by-step explanation:
i'm assuming that this is a question about imaginary numbers and that i²= -1
we can expand the binomial by using the FOIL method (see attached)
(6 − 7i)(3 − 6i)
= (6)(3) + (6)(-6i) + (-7i)(3) + (-7i)(-6i)
=18 - 36i - 21i + 42i² (recall that i²= -1)
= 18 - 57i + 42(-1)
= 18 - 57i - 42
= -24 - 57i
Joe is making key chains with beads. He wants each key chain to have the same number of beads. He has 90 blue beads and 72 yellow beads. What is the highest amount of key chains he can make?
Answer:1.25
Step-by-step explanation:90/72
Joe can make 9 key chains to have the same number of beads with 90 blue beads and 72 yellow beads.
What are HCF and distributive property?The HCF of two or more than two numbers is the highest number that divides the given two numbers completely.
Joe wants each key chain to have the same number of beads.
∴ HCF of 72 and 90 is 18
Now with those 18 beads 9 each type he can make (90 + 72)/18 key chains.
= 162/18.
= 9 key chains.
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A=1/2(B+C-D) SOLVE FOR B
Answer:
B = 2A - C + DStep-by-step explanation:
A = ¹/₂(B + C - D)
×2 ×2
2A = B + C - D
-C+D -C+D
2A - C + D = B
I WILL GIVE YOU BRAINLIEST,5 STARS, AND THANKS.(P.S. AT LEAST TWO PEOPLE GIVE ANSWER SO I CAN GIVE BRAINLIEST)
Answer:
A
Step-by-step explanation:
the other options have a common difference
Answer:
A is not arithmetic series
Step-by-step explanation:
In B,C and D there is arithmetic series as a2-a1=a3-a2
In A. there is no such series.....
A jar contains 6 yellow marbles, 4 black marbles, and 2 purple marbles. Two marbles are picked at random, without replacement. What is the probability of
selecting both yellow?
Answer:
The probability of selecting both yellow is 5/22.
Step-by-step explanation:
Given the number of yellow marbles = 6
Black marbles = 4
Purple marble = 2
Now find the total number of marbles in the jar.
Thus total marbles = Yellow marbles + Black marbles + Purples marble
Now insert the values in the above formula.
Total marbles = 6 + 4 + 2
Total marbles = 12
The probability of 2 yellow marble:
[tex]= \frac{6}{12} \times \frac{5}{11} \\= \frac{5}{22}[/tex]
Thus, the probability of selecting both yellow is 5/22.
Tables of Ratios: Mastery Test
Drag each number to the correct location on the table. Not all numbers will be used.
The table gives ratios between distance and time. Complete the table to form equivalent ratios.
10
210
490
Distance (miles)
140
Time (hours)
2
4
5
280
350
420
560
6
8
12
700
Answer: Distance(Miles)
140,420,560
Time(Hours)
5,10
You have 20 gallons of roof coating to apply to the roof of a mobile home that is 16 feet wide. Twenty gallons covers 760 to 1000 square feet. Find the interval for the length of x that you will cover before you need to buy more roof coating.
Area = length x width.
Divide the two total areas by the width to find the lengths:
760/16 = 47.5
1000/16 = 62.5
The interval is:
47.5<= x <= 6.5
The interval for the length of x that you will cover before you need to buy more roof coating will be 47.5 ≤ x ≤ 6.5.
What is inequality?Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.The space occupied by any two-dimensional figure in a plane is called the area.
Given that you have 20 gallons of roof coating to apply to the roof of a mobile home that is 16 feet wide. Twenty gallons covers 760 to 1000 square feet.
The formula to calculate the area of the
Area = length x width.
Divide the two total areas by the width to find the lengths:
760/16 = 47.5
1000/16 = 62.5
The interval is:
47.5 ≤ x ≤ 6.5
Therefore, the interval will be 47.5 ≤ x ≤ 6.5.
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If point A is translated 4 units left and 6 units down, what are the coordinates of A?
A)
(6, 1)
B)
(6, -1)
C)
(-2, 1)
D)
(-2,-1)
Answer:C (-2, 1)
Step-by-step explanation:
help ASAP!!
i need help finding out the pattern of 3 and 4
Answer:
See below.
Step-by-step explanation:
For 3, we have:
1, 3, 6, ___, 15, 21, _____, 36, _______
Let's try to determine the pattern. From 1 to 3, we added 2.
From 3 to 6, we added 3.
So, it seems that the fourth term would be to add 4, and then add 5. Let's try it:
6+4=10
10+5=15.
So, it seems we're correct. So, we will add 6, then 7, and then 8, etc. Therefore, our correct sequence would be:
1 (+2), 3 (+3), 6 (+4), 10 (+5), 15 (+6), 21 (+7), 28 (+8), 36 (+9), 45
For 4, we have:
100, _____, 64, ______, 36, 25, _______
Notice that these all are perfect squares. 10 squared is 100, 8 squared is 64, etc. Thus, we can rewrite this as:
10², _____, 8², ______, 6², 5², ______
Therefore, our blanks would be:
10², 9², 8², 7², 6², 5², 4².
Evaluated, this woul be:
100, 81, 64, 49, 36, 25, 16.
And we're done!
please help with the following maths question
Answer:
120 degrees
Step-by-step explanation:
Regular hexagon means all the sides are equal
(6-2)(180)=The sum of interior angles of hexagon
=>720 degree
Therefore each angle=720/number of sides
=720/6=120 degree
So let the marked angle in figure be 'x'
And the adjacent equal angles to x, y
So y+y+x=360 [Angle around point=360]
2y+x=360 [but y=120 degree proved]
240+x=360
x=120
Answer:
the answer is 120 degrees- i dont feel like typing everything out about how i got it but ik thats the answer.
Step-by-step explanation: