Answer:
5^8Step-by-step explanation:
[tex]5^3\times\:5^5\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\times\:a^c=a^{b+c}\\5^3\times\:5^5=5^{3+5}\\\\=5^8=390625[/tex]
The solution of the expression will be 5⁻².
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is 5³ x 5⁻⁵. The expression will be solved as below,
E = 5³ x 5⁻⁵
E = 5³⁻⁵
E = 5⁻²
Hence, the expression will be E = 5⁻².
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-7b=-56 pls answer with the work and steps
Answer:
b=8
Step-by-step explanation:
Solution steps:
-7b=-56
b=-56 / -57
b=8
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ b = 8}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 7b = - 56}[/tex]
divide both sides of the equation by -7
[tex] \sf{ \dashrightarrow\frac{ - 7b}{ - 7} = \frac{ - 56}{ - 7} }[/tex]
Calculate
[tex] \dashrightarrow \sf{b = 8}[/tex]
Hope I helped!
Best regards! :D
Find the HCF of the following numbers using continued division
method:
a. 255,238
b. 1155,462
c. 47,61
d. 115,138
e. 18,45 and 72
Answer:
a. 17
b. 231
c. 1
d. 23
e. 9
A collection of points along a straight path that
extends endlessly in both directions is called a
In geometry, a line is completely straight and stretches in both directions infinitely. In contrast, a line segment is a line that doesn't go on forever but rather has a fixed set length. A line segment has two endpoints. A ray has only one endpoint and the other side extends forever.
ASAP!!! ASAP!!!
What is the volume of the rock???
Answer:
10 cm³
Step-by-step explanation:
According to Archimedes, if we place an object in water, the rise of the water in mL will be the volume of the object in cm³.
Without the rock, the water measures 20 mL.
With the rock, the water measures 30 mL.
The change here is [tex]30-20=10[/tex], so 10 cm³ is the volume of the rock.
Hope this helped!
There are 5 different pairs of gloves, where left and right are distinguishable. Select 4 of the 10 gloves. (a) How many are there to select 2 pairs of gloves? (b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)
Answer:
(a) How many are there to select 2 pairs of gloves?
10 ways
(b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)
130 ways
Step-by-step explanation:
For the above questions we apply that combination formula
(a) How many are there to select 2 pairs of gloves?
There are 5 pairs of gloves according to the question above, hence:
5C2 = 5!/2! × (5 - 2)!
= 5!/2! × 3!
= 5 × 4 × 3 × 2 × 1/2 × 1 × 3 × 2 × 1
= 10 ways.
Therefore, there are 10 ways to select 2 pairs of gloves
(b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)
i) A way to select 4 gloves out of 10 gloves =
10C4 = 10!/4! ×(10 - 4)!
= 10!/ 4! × 6!
= 210 ways
ii) In order for 2 of the 4 gloves selected to be a pair, note that we have 5 pairs of gloves hence:
5 × 2⁴
= 80 ways.
Therefore, the number of ways which we can select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.) = 210 ways - 80 ways
= 130 ways
Find all complex solutions of 3x^2+4x+5=0 please guide!
Answer:
Step-by-step explanation:
Mick earns $45,000 a year. This year, he had $2,700 of state taxes returned to him.
What percent of his income did he have returned to him?
Answer:9
Step-by-step explanation:
help pls !!!!!!!!!!!!!!
Answer:
h(1) = 1, h(2) = 3, h(3) = 4
Step-by-step explanation:
Given function h(x)
Need to find :
h(1), h(2), h(4)h(1) falls under the second condition as -2 ≤1<2:
h(1) = - (x-1)² + 1 = -( 1 - 1)² + 1 = 1h(2) and h(4) fall under the third condition as x=2,4 ≥ 2:
h(2) = 1/2x + 2 = 1/2*2 + 2 = 1 + 2 = 3h(4) = 1/2x + 2 = 1/2 * 4 + 2 = 2 + 2 = 4The smallest 4-digit number with different digits is ---------. (Don’t use same digit)
Answer:
The smallest 4-digit number with different digits is 1023.Volume of a cube is 5832 m². Fince the
cost of painting its total surface area
at the rate of Rs. 3.50 per m².
a≈18
V Volume
5832=18
If justin has 90 tacos and loses 15 how many does he have
Answer:75
Step-by-step explanation:
90-15=75
Answer:
He has 75 tacos left.
90 - 15 = 75.
A ray lies on the line MN←→−. It starts at point Q and passes through the points P and R. Which of the following is a correct name for this ray?
Answer:
please mark my answer brainliest
Step-by-step explanation:
the correct name will be QP...or QR
A music service chargers a $2.99 monthly membership fee plus $0.05 for each song purchased. If Naomi charges for the month was $10.89 how much songs did she purchase
Answer:
158
Step-by-step explanation:
10.89-2.99 = 7.90
.5/7.90=158
Answer:
158 songs
Step-by-step explanation:
Monthly membership = 2.99
Each song cost = .05
Total Amount spent after 1 month = 10.89
S = Songs purchased
=> 2.99 + .05S = 10.89
=> 2.99 - 2.99 + .05S = 10.89 - 2.99
=> .05S = 7.9
=> .05S / .05 = 7.9 / .05
=> S = 158
So, she purchased 158 songs that month.
Find the indefinite integral and check the result by differentiation. (Use C for the constant of integration.)
∫ (x + 8x) dx
Answer:
[tex]y = \frac{9x^2}{2} + c[/tex]
Step-by-step explanation:
Given
[tex]\int\limits^ _[/tex][tex](x + 8x) dx[/tex]
Required
(a) Integrate
(b) Check using differentiation
To integrate, we make use of the following formula;
if
[tex]\frac{dy}{dx} = \int\limits^{} _{} ax^n[/tex]
then
[tex]y = \frac{ax^{n+1}}{n+1}[/tex]
So; [tex]\int\limits^ _[/tex][tex](x + 8x) dx[/tex] becomes
[tex]y = \frac{x^{1+1}}{1+1} + \frac{8x^{1+1}}{1+1} + c[/tex]
[tex]y = \frac{x^{2}}{2} + \frac{8x^{2}}{2} + c[/tex]
[tex]y = \frac{x^{2}}{2} + 4x^2 + c[/tex]
Take LCM
[tex]y = \frac{x^{2} + 8x^2}{2} + c[/tex]
[tex]y = \frac{9x^2}{2} + c[/tex]
To check using differentiation, we make use of
if [tex]y = ax^n[/tex], then
[tex]\frac{dy}{dx} = nax^{n-1}[/tex]
Using this formula
[tex]y = \frac{9x^2}{2} + c[/tex] becomes
[tex]\frac{dy}{dx} = 2 * \frac{9x^{2-1}}{2}[/tex]
[tex]\frac{dy}{dx} = 2 * \frac{9x}{2}[/tex]
[tex]\frac{dy}{dx} =9x[/tex]
[tex]9x = x + 8x[/tex]
So;
[tex]\frac{dy}{dx} = x + 8x[/tex]
Use polnt-slope form to write the following equation of the line passing through the point (7,-5) with the slope m=1
Answer:
Step-by-step explanation:
y + 5 = 1(x - 7)
y + 5 = x - 7
y = x - 12
What is greater than 1.45? A. 0.009 B. 0.019 C. 0.0032 D. 0.0177
No option is greater than the value of 1.45.
What are decimal numbers?The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values.
Decimal notation is the term used to describe the method of representing numbers in the decimal system.
A number is a numerical unit of measurement and labeling in mathematics. The natural numbers 1, 2, 3, 4, and so on are the first examples.
The given number is 1.45. The given options are:-
A. 0.009
B. 0.019
C. 0.0032
D. 0.0177
All the options are less than the value of 1.45. Therefore, No option is greater than the value of 1.45.
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Question 3
1 pts
Tim has 74 socks, all in pairs. He has 1 more pair of white socks than black socks. How many individual socks of
each color does he have?
Answer:
36 individual white socks
38 individual black socks
Step-by-step explanation:
Pairs of socks = 74
He has 1 more pair of white socks than black socks.
Take the colors of the socks to be white and black
Let
Black pairs of socks = x
White pairs of socks = x + 1
Individual socks of each color
A pair of white socks = 2 Individual white socks
= 2white
A pair of black socks = 2 individual black socks
= 2black
Total pairs of socks = black pairs of socks + white pairs of socks
74 = 2white + 2black
74 = 2(x) + 2(x +1)
74 = 2x + 2x + 2
74 = 4x + 2
Subtract 2 from both sides
74 - 2 = 4x
72 = 4x
Divide both sides by 4
x = 72/4
= 18
x = 18
Pairs of white socks = x = 18
A pair of white socks = 2whites
= 2(18)
= 36 individual white socks
Pairs of black socks = x + 1
= 18 + 1
= 19 pairs
A pair of black socks = 2black
= 2(19)
= 38 individual black socks
Suppose that you are a teacher with a total of 100 students 10 among them come from a disadvantaged and their average in year 1 is 80/100. All of the other students are not considered disadvantaged and have an average of 90/100. What is the overall average for your students in year 1?
Answer:
89/100
Step-by-step explanation:
The average weighted by the number of students is ...
(90(0.90) +10(0.80))/100 = (81 +8)/100 = 89/100
All of the following should be included in the results section of a t test except:
a. dependent measure.
b. levene confidence intervals.
c. effect size.
d. homogeneity of variance test.
Answer:
Levene confidence intervals ( b )
Step-by-step explanation:
T- test should include all of the following in the results section except the Levene confidence intervals.The confidence intervals may be constructed for various power values using the binomial distribution.
The dependent measure , the size and the Homogeneity of variance test are all included in the results section of a t-test
Pleas helppppppppppp
Answer:
Line AB
Hope this helps!
How do you solve 6^14/(2^5)(3^7)?
Answer:
1119744
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out expression
[tex]\frac{6^{14}}{(2^5)(3^7)}[/tex]
Step 2: Evaluate exponents
6¹⁴ = 78365164096
2⁵ = 32
3⁷ = 2187
Step 3: Replace
[tex]\frac{78364164096}{32(2187)}[/tex]
Step 4: Multiply
[tex]\frac{78364164096}{69984}[/tex]
Step 5: Divide
1119744
simplify 4/9 to the second power
Answer:
(2/3)^2
Step-by-step explanation:
A simplification of the expression 4/9 to the second power is [tex](\frac{2}{3} )^2[/tex]
What is an exponent?In Mathematics and Geometry, an exponent is a mathematical operation that is commonly used in conjunction with an expression, so as to raise a given quantity to the power of another.
Mathematically, an exponent can be modeled by this mathematical expression;
[tex]b^n[/tex]
Where:
the variables b and n are numerical values, letters, or an expression.
n is known as a power.
By applying the law of indices for powers (division) to the given equation, we would have the following simplified expression:
[tex]\frac{4}{9} =\frac{2^2}{3^2} \\\\\frac{4}{9} =(\frac{2}{3} )^2[/tex]
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Need help asap!! close to running out of time to turn this in!
please help!!
Given the sets A and B expressed in interval notation, find A∩B A = (−∞,91) ∪ [93,+∞) B = (28,94) B = (28,94)
======================================================
Explanation:
Check out the diagram below.
I have drawn out two number lines with the key points 28,91,93,94 marked on them. The diagram isn't to scale, but that doesn't matter. All that matters is that the numbers line up (eg: we have the two 28's line up vertically).
The first number line drawing on top shows the shading for set A. Everything in the shaded region is either smaller than 91, or larger than 93, or 93 itself. We exclude 91 due to the curved parenthesis. The square bracket says to include the 93.
For the second graph, you have two endpoints as open holes (to exclude both endpoints) and you shade everything between.
-----------
After you draw the two number line regions, you would then mark off the interval(s) that they share in common.
The notation [tex]A \cap B[/tex] means "A intersect B" which means we want to find the stuff that is in both sets at the same time.
So we'll have two pieces here. The portion from 28 to 91 is the first interval, and then the second portion runs from 93 to 94. For each interval sub-piece, the endpoints are excluded
So that leads to the final answer [tex](28, 91) \cup (93, 94)[/tex]
If the area of the base of a cube is 100m, whats the volume
Answer:
1000 m³
Step-by-step explanation:
The base of a cube is just a square.
The area of a square is [tex]l^2[/tex], where l is the length.
Since we know the area of the base (the square) we can find l easily.
[tex]l^2 = 100\\\\l = \sqrt{100}\\\\l=10[/tex]
Now that we know the length of the sides, we have to take note that a cube has side lengths that are all congruent.
This means the height of the cube is also 10m.
Since the volume of a cube is represented as [tex]l^3[/tex], where l is the length, we can substitute 10 in as [tex]l[/tex] to find it's total volume.
[tex]10^3 = 1000[/tex]
So the volume of this cube is 1000 m³.
Hope this helped!
Put in standard form 7xy+8x+5xyz+5x^5
Answer:
[tex]5x^5+5xyz+7xy+8x[/tex]
Step-by-step explanation:
When putting an equation in standard form, you always prioritize the term with the most variables - unless terms have a greater exponent.
The prioritization order is:
Exponents
Amount of variables
Value of coefficient
So, [tex]5x^5[/tex] is the only term with an exponent in this expression, so it will go first.
Next up, we have to choose between [tex]8x[/tex], [tex]5xyz[/tex], and [tex]7xy[/tex]. We know that [tex]5xyz[/tex] has more variables than the other ones, so it goes next.
Now we're left with [tex]7xy[/tex] and [tex]8x[/tex]. [tex]7xy[/tex] has more variables than [tex]8x[/tex], so it goes next.
This leaves [tex]8x[/tex] last.
So, the expression becomes [tex]5x^5+5xyz+7xy+8x[/tex].
Hope this helped!
Jose just removed the children's playset from his back yard to make room for a rectangular garden. He wants to put a fence around the garden to keep out the dog. He has a 90 foot roll of fence in his garage that he plans to use. To fit in the backyard, the width of the garden must be 15 feet. How long can he make the other side, in feet, if he wants to use the entire roll of fence?
===================================================
Explanation:
He has 90 feet of fencing overall. This is the perimeter of the rectangle as its the distance around all four sides.
Two of the opposite sides are the width = 15 ft. So we have 15+15 = 30 feet taken up and 90-30 = 60 feet left for the other two opposite sides to add to. Call each of those sides x
x+x = 60
2x = 60
x = 60/2
x = 30
The other side must be 30 feet long.
This rectangle is 30 by 15
perimeter = 30+15+30+15 = 45 + 45 = 90
which helps confirm we have the right answer
---------------
Or you can solve this way
P = 2*(L+W) is the perimeter of a rectangle with length L and width W
Plug in the perimeter P = 90 and the width W = 15. Solve for L
P = 2*(L+W)
90 = 2*(L+15)
2(L+15) = 90
L+15 = 90/2
L+15 = 45
L = 45-15
L = 30
Sixteen boxes that are each 1 5/8 feet high are stacked. Find the height of the stack
George’s parents are going on a cruise and are concerned about paying their bills while they are gone because they will not have the usual means of communication. What is the best payment method for them to use while they are gone?
telephone
online payment
mail
automatic withdrawal
D. Automatic withdrawal
May I have brainliest please? :)
Find the surface area of the following triangular prism. surface area=_________ ft²
312 ft²
Step-by-step explanation:3 rectangles
2 triangles
4 yd = 12 ft
A = 4ft×12ft + 8ft×12ft + 10ft×12ft + 2×6ft×8ft/2
= 48ft² + 96ft² + 120ft² + 48ft²
= 312 ft²
Answer:
336
Step-by-step explanation:
Got it right
You are welcome :)