Answer:
25
Step-by-step explanation:
Given expression:
[tex]5^{1125} \times 0.2^{1123}[/tex]
Rewrite 0.2 as a fraction:
[tex]\implies 5^{1125} \times \left(\dfrac{1}{5}\right)^{1123}[/tex]
[tex]\textsf{Apply exponent rule} \quad \left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c}:[/tex]
[tex]\implies 5^{1125} \times \dfrac{1^{1123}}{5^{1123}}[/tex]
Simplify the numerator by applying the exponent rule a¹ = a:
[tex]\implies 5^{1125} \times \dfrac{1}{5^{1123}}[/tex]
[tex]\textsf{Apply the fraction rule} \quad a \times \dfrac{b}{c}=\dfrac{ab}{c}:[/tex]
[tex]\implies \dfrac{5^{1125} \times1}{5^{1123}}[/tex]
[tex]\implies \dfrac{5^{1125}}{5^{1123}}[/tex]
[tex]\textsf{Apply exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:[/tex]
[tex]\implies 5^{1125-1123}[/tex]
Simplify the exponent:
[tex]\implies 5^{2}[/tex]
Simplify:
[tex]\implies 5 \cdot 5[/tex]
[tex]\implies 25[/tex]
Please help, Worth 30.
Answer:
It's actually worth 15 points
a sample of a radioactive isotope had an inital mass of 130 mg in the year 2010 and decays exponentially over time. a measurmentin the year 2012 found that the samples masshad decayed to 80 mgwjat would be the expected mass of the sample in the year 2021 to the nearest whole number
The expected mass of the sample in the year of 2021 is given as follows:
9 mg.
How to define the exponential function?An exponential function is defined as follows:
y = a(b)^x.
For which the parameters are given as follows:
a is the initial value.b is the rate of change.The initial mass was of 130 mg, hence the parameter a is given as follows:
a = 130.
In two years, the mass decayed to 80 grams, hence the parameter b can be obtained as follows:
b² = 80/130
b = square root(80/130)
b = 0.78446454055.
This means that the exponential function for the mass of the sample in x years after 2010 is given as follows:
y = 130(0.78446454055)^x.
2021 is 11 years after 2010, hence the expected mass is obtained as follows:
y = 130(0.78446454055)^11
y = 9 mg.
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What is the surface area? 7 in 6 in 3 in
Answer:
126
Step-by-step explanation:
1.
The table below shows the number of animals at a local petting zoo.
Animal
Ponies
Goats
Number
3
3
Rabbits
8
Type a response
Sheep
6
Write the ratio of ponies to sheep.
You may write the ratio in ANY of the three forms. Remember to REDUCE the ratio, it
possible.
1/2
If there are 3 ponies, and 6 sheep,
the original ratio is 3/6.
However, it must be simplified down to 1/2.
16. A large waffle cone has a diameter of 3 inches and a height of 8 inches. Two scoops of
✓ ice cream have been stacked on top of the cone, after it was filled. The scoops are
completely round and have a diameter the same as the cone.
Find the volume of the two scoops of ice cream combined with the ice cream inside the
cone.
Answer:
(1/3) (44.5)π cm3.
Step-by-step explanation:
The volume of the two scoops of ice cream combined with the ice cream inside the cone can be calculated as follows:
Volume of cone = (1/3) π (3/2)2h = (1/3) π (4.5)8 = (1/3) (35.5)π
Volume of scoop = (1/6) π d3 = (1/6) (3)π
Total volume = (1/3) (35.5)π + 2(1/6) (3)π = (1/3) (44.5)π cm3.
Find the Area of the parallelogram.
12 in.
15 in.
18 in
What is the area of the Composite Figure?
9514 1404 393
Answer:
141 units squared
Step-by-step explanation:
Dashed lines have been added to the figure to help you see one way to cut it into manageable pieces.
Triangle BCD has a base BD of 10 units and a height CD of 6 units. Its area is ...
A = 1/2bh
A = 1/2(10)(6) = 30 . . . square units
Square BEFG has sides of length 6. Its area is ...
A = s²
A = 6² = 36 . . . square units
Trapezoid AGHI has bases of 14 and 16, and a height of 5. Its area is ...
A = 1/2(b1 +b2)h
A = 1/2(14+16)(5) = 75 . . . square units
The total area is the sum of the parts:
total area = triangle area + square area + trapezoid area
total area = 30 + 36 + 75
total area = 141 . . . square units
Latoya's penny bank is 3/10 full. After she adds 400 pennies, it is 4/5 full. How many pennies can Latoya's bank hold?
Answer:
1.1
Step-by-step explanation:
A single-engine plane can travel up to 140 miles per hour. The total number of miles m is represented by the function m = 140h, where h is the number of hours traveled. Determine appropriate input values for this situation.
Answer: The input values for this function are the number of hours traveled, represented by the variable h. Therefore, appropriate input values for this function would be any positive number representing a number of hours traveled.
For example, some appropriate input values could be:
h = 1: This represents 1 hour of travel, or a total distance of 140 miles.
h = 2: This represents 2 hours of travel, or a total distance of 280 miles.
h = 3.5: This represents 3.5 hours of travel, or a total distance of 490 miles.
Note that the input values do not have to be whole numbers, they can be any positive number representing a number of hours traveled.
Step-by-step explanation:
Find the y-intercept and x-intercept y=(2x+144)(x-133)
Answer:
x-intercepts: -72 and 133
y-intercept: -19152
Step-by-step explanation:
You can solve for x-intercepts by...
[tex]y = (2x + 144)(x - 133)[/tex]
2x+144=0
-144 -144
2x=-144
2 2
x=-72
x-133=0
+133 +133
x=133
to find y intercept you plug in 0 for x...
y=(2(0)+144)(0-133)
y=(0+144)(-133)
y=(144)(-133)
y=-19152
Their sum is 3/5
and their difference is 7 1/5
Plz help i need it fast I will mark Brainlyist if there are two answers or more
Answer:
3.9 & 3.3
Step-by-step explanation:
x=3.9 and y=-3.3
Explanation:
Let x and y be the two numbers
x + y = 35
x − y = 36 / 5
Let's solve by elimination
2x = 39 / 5
x=3.9
y=-3.3
Hope that helps! :)
-Aphrodite
Choose the correct trig ratio you would use to solve for the missing piece of the right triangle.
Answer:
take 19 degree as reference angle
using sine rule
sin 19 degree=x/74
0.32=x/74
0.32*74=x
23.68=x
Step-by-step explanation:
Hope this helps u !!
20 POINTS
A swimming pool is 8 meters long, 8 meters wide, and 8 meters deep. The water
resistant paint needed for the pool costs $6 per square meter.
Part A: What is the surface area of the pool that needs to be painted? (Remember there is not a
top to the pool)
Part B: Based on the surface area you calculated, what is the total cost of the paint needed to paint
purchased?
Answer:
A. 320 sq. ft.
B. $1920
Step-by-step explanation:
You need to find 5 sides. They are all 8*8. 64*5 is 320. Now, you multiply that by 6 to get $1920
solving simultaneous equation
a+b=7
a-b=3
Answer: a=5 b=2
Step-by-step explanation:
They both satisfy the equation as 5+2=7 and 5-2=3
Hope this helps!
Here we have been given with two equations and we have to calculate the value of a and b by solving them simultaneously.
a + b = 7 (Equation No 1)a - b = 3 (Equation No 2)★ From Equation No 2 :
>> a - b = 3
>> a = 3 + b
★ In Equation No 1 :
Substituting here the value of a which we got above as (3 + b).
>> a + b = 7
>> 3 + b + b = 7
>> 3 + 2b = 7
>> 2b = 7 - 3
>> 2b = 4
>> b = 4 / 2
>> b = 2
★ Finding out value of a :
>> a = 3 + b
>> a = 3 + 2
>> a = 5 [tex] \: [/tex]
URGENT!!!
Which of the following points best represents the location of -1 5/8 on the number line?
A
B
C
D
Answer:
A
Step-by-step explanation:
[tex]-2<-1 \frac{5}{8}<-1[/tex], and A is the only point between -2 and -1.
Answer: i believe your answer would be C.
Step-by-step explanation: it is located where -1 is and is on the 5th line. between -1 and the letter C there are 8 lines. So answer would be letter C. sorry if that’s wrong.
In a rhombus MNLP, diagonals intersect each other at point O. If measure of angle MNL is 120 degrees, and the length of the side is 8 inches, find NP
Point O is where the diagonals in a rhombus MNLP intersect. If the side is 8 inches long and the measure of the angle MNL is 120 degrees, then NP is 8 inches.
A rhombus is a quadrilateral with all of its sides being the same length and both pairs of opposite sides being parallel. The following formula can be used to determine the length of diagonals when applying the law of cosines to triangles made out of the rhombus's diagonal (x) and sides(a): diagonal [tex]x=a\sqrt{2+2\cos \theta}[/tex].
Given the sides of the rhombus, MNLP is 8 inches each and the ∠MNL is 120°. Then, let's take the diagonal NP as x and calculate this using the above formula as follows,
[tex]\begin{aligned}x&=8\sqrt{2+2\cos120^{\circ}}\\&=8\sqrt{2+2(-0.5)}\\&=8\sqrt{2-1}\\&=\mathrm{8\;inches}\end{aligned}[/tex]
The required answer is 8 inches.
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The width of a vegetable garden is 3 times its length. If the length of the garden is 4 1/2 feet, what is the width in simplest form?
Answer:
13.5 feet or 27/2
Step-by-step explanation:
4.5 x 3 = 13.5
Analyze the diagram below and complete the instructions that follow.
please help its timed
Answer:
<2 and <3Step-by-step explanation:
Here,
These two angles when added forms a 180° that straight line .
Hence,
These are supplementary angles.
PLZ ANSWER THIS I BEG UU
Answer:
14.7 ft²
Step-by-step explanation:
the volume of the triangular prism =
(½×3.5×2) x 4.2
= 3.5 × 4.2
= 14.7 ft²
Answer:
Solution given:
For triangle
base=3.5
height =2ft
and length=4.2ft
Now
Volume of triangular prism=area of traingle x length
=½(3.5*2)×4.2
=14.7ft³
Required volume is 14.7ft³.
Find the complement and supplement of 73°:
Answer:
The complement of 73° is 17°
The supplement of 73° is 107°
Step-by-step explanation:
Two angles in a complementary are equal to 90°
∴ For complementary:
73° + x = 90°
x = 90°- 73°
∴ x = 17 °
Two angles in a supplementary are equal to 180°
∴ For supplementary:
73° + x = 180°
x = 180° - 73°
∴ x = 107°
The stem and leaf plot shows the number of days of snowfall at a winter sports resort for each of the past 171717 years.
The stem represents the tens place and the leaves represent the unit place of each data point, allowing for easy visualization of the distribution of the data.
A stem-and-leaf plot is a type of graph used to display the distribution of a set of data. It is a way to show the frequency of different values in a dataset. In this case, it is showing the number of days of snowfall at a winter sports resort for each of the past 171717 years.
Continuous and discrete data distributions are the two main forms found in statistics. Continuous data is information having a wide range of possible values. When measuring this kind of information, such weight or temperature, a scale is frequently used. A histogram is another tool for representing continuous data.
The complete question will be :
The stem and leaf plot shows the number of days of snowfall at a winter sports resort for each of the past years. represents a year with days of snowfall. Here is the five-number summary for these data Five-number summary According to the - IQR rule for outliers, how many high outliers are there in the data set?
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Answer:
0
Step-by-step explanation:
Papa Bear ate a quarter of the pie. Mama Bear ate a third of what was left. Baby Bear ate half of what was left. How much of the pie was left for Goldilocks
Mama bear only ate (1/4) of the pie, leaving Goldilocks with the remaining (1/8) fraction.
Which fraction is it?The fraction is expressed in the form a/b, where an is referred to as the numerator and b is referred to as the denominator. The fraction is a rational number that only divides two integers.
Let the pie's largest portion be a.
Half of the pie was consumed by Papa Bear.
Papa Bear then consumed = (1/2)a.
Rest of the pie is equal to a- (1/2).
a= (1/2)a
Mama bear consumed (half) of the remaining pie.
Mother bear consumed (1/2)(1/2).
pie portion a= (1/4) pie portion after mom bear has eaten = (1/2)
a- (1/4)a= (1/4)a
Baby bear afterwards consumed (half) of the remaining pie.
Baby bear ate (1/2)(1/4), thus. After the young bear has finished eating, the remaining pie is equal to (1/4) a- (1/8)a= (1/8)
The remainder of the component was given to GoldLiocks.
As a result, mom bear only ate (1/4) of the pie, leaving Goldilocks with the remaining (1/8) portion.
The complete question is Papa Bear ate 1/2 of a pie. Mama Benr ate 1/2 of what was left Baby Bear ate 1/2 of what
was left after Mama Bear finished.
3) What fractional part of the pie did Mama Bear eat?
4) What fractional part of the pie was left for Goldilocks?
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If you can buy 3 packs of soda
for $6.00, how much will 4 packs of
soda cost
Answer:
it will be 8 dollars
Step-by-step explanation:
so each pack is two dollars and just add two
Find values of a and b that make the following equality into identity:
(2x+5)/(x-8)(2x+1)=a/(x-8) + b/(2x+1)
Giving 30+ points!
The values of a and b in the fraction are 21/17 and -8/17
How to determine the values of a and bFrom the question, we have the following parameters that can be used in our computation:
(2x+5)/(x-8)(2x+1)=a/(x-8) + b/(2x+1)
Take the LCM
So, the expression can be expressed as
(2x+5)/(x-8)(2x+1)=a(2x+1) + b(x-8)/(x-8)(2x+1)
Multiply both sides by (x-8)(2x+1)
(2x+5) = a(2x+1) + b(x-8)
Open the brackets
2x + 5 = 2ax + a + bx - 8b
By comparison, we have
2a + b = 2
a - 8b = 5
Make a, the subject in a - 8b = 5
a = 5 + 8b
Substitute a = 5 + 8b in 2a + b = 2
10 + 16b + b = 2
Evaluate the like terms
17b = -8
Divide by 17
b = -8/17
Substitute b = -8/17 in a = 5 + 8b
a = 5 + 8 * -8/17
Evaluate
a = 5 - 64/17
So, we have
a = 21/17
Hence, the values are 21/17 and -8/17
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please answer it fast
Answer:
0 and - 10
-4 and - 15
Step-by-step explanation:
5 + (-1) = 5 - 1 = 4
Which does lie between
0 and - 10-4 and - 15Hope it helps you in your learning process
solve for g here
[tex]55g + 25 = 625 \div 25[/tex]
Answer:
0
Step-by-step explanation:
625 / 25 = 25
55g + 25 = 25
55g = 25 - 25
55g = 0
g = 0/55
g = 0
Answer:
[tex] \sf \: g = 0[/tex]
Step-by-step explanation:
Given equation,
→ 55g + 25 = 625 ÷ 25
Now the value of g will be,
→ 55g + 25 = 625 ÷ 25
→ 55g + 25 = 25
→ 55g = 25 - 25
→ g = 0 ÷ 55
→ [ g = 0 ]
Hence, the value of g is 0.
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PHOTO ATTACHED
Drag each tile to the correct box.
Arrange the solutions of the mathematical expressions from least to greatest according to their values in scientific notation.
(4.3x10^6).(9.8x10^-4)
(2.9x10^7)-(1.6x10^–9)
(4.7 x 10^3). (8.6 x 10^-7)
________________
(3.8 x 10^-4). (6.1 x 10^2)
(4.9x10^3).(74x10^–6)
(3.9 x 10^5). (8.7 x 10^-3)
_________________
(3.7 x 10^-5). (2.9 x 10^8)
Answer:
3,4,2,5,1. youre welcome :)
The arrangement of the solutions of the mathematical expressions from least to greatest according to their values in scientific notation is as follows:
Order Mathematical expressions
1. 3. (4.7 x 10^3). (8.6 x 10^-7)
________________
(3.8 x 10^-4). (6.1 x 10^2)
2. 4. (4.9x10^3).(74x10^–6)
3. 2. (2.9x10^7)-(1.6x10^–9)
4. 5. (3.9 x 10^5). (8.7 x 10^-3)
_________________
(3.7 x 10^-5). (2.9 x 10^8)
5. 1. (4.3x10^6).(9.8x10^-4)
What are mathematical expressions?Mathematical expressions are a combination of numbers, variables, and functions (for example, addition, subtraction, multiplication, or division, etc.) to state complete mathematical thoughts.
Mathematical expressions can be likened to grammatical phrases. In linguistics, a phrase, which may include an action, but it does not make a complete sentence without being combined with other phrases.
Data:1. (4.3x10^6).(9.8x10^-4)
2. (2.9x10^7)-(1.6x10^–9)
3. (4.7 x 10^3). (8.6 x 10^-7)
________________
(3.8 x 10^-4). (6.1 x 10^2)
4. (4.9x10^3).(74x10^–6)
5. (3.9 x 10^5). (8.7 x 10^-3)
_________________
(3.7 x 10^-5). (2.9 x 10^8)
Thus, the arrangement of the solutions of the mathematical expressions from least to greatest according to their values in scientific notation is 3, 4, 2, 5, and 1.
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Your math teacher is planning a test for you. The test will have 30 questions. Some of
the questions will be worth 3 points, and the others will be worth 4 points. There will
be a total of 100 points on the test. How many 3-point questions and how many 4-
point questions will be on the test?
Answer:
20 questions for 3 points
10 questions for 4 points
Step-by-step explanation:
20 × 3 = 60
10 × 4 = 40
60 + 40 = 100
What is the coefficient of XY in 7xy?
The coefficient of XY in 7xy is 7
Any integer or symbol that multiplies the variable of a single term or the terms of a polynomial to represent a constant value is known as a coefficient in mathematics. In some phrases, a letter might be substituted for the usual number. For example, x is the variable and a and b are the coefficients in the formula: ax2 + bx + c.
What is a coefficient?
A coefficient is a quantity or number that is coupled with a variable. Frequently, an integer is multiplied by the variable and written next to it. The variables that don't have a corresponding number are presumed to have a coefficient of 1.
Seven is the coefficient of XY in 7xy.
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Help Please i beg you
Answer:
y = 7x - 2
Step-by-step explanation:
m = slope
b = y int
Have a good day!!!
Answer and Step-by-step explanation:
The equation formula is written as:
y = mx + b
Where:
m = the slope
b = y-intercept
So, all we have to do is plug in the values given to us into the equation.
7 = m
b = -2
y = 7x - 2 is your answer.
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