=52a−11b−7
Explanation:
10
a
−
8
b
−
2
4
a
3
b
5
Note:
a
m
a
n
=
a
m
−
n
Applying the above property to the exponents of
a
and
b
=
(
10
4
)
.
a
(
−
8
−
3
)
.
b
(
−
2
−
5
)
=
5
2
a
−
11
b
−
7
what is the solution to this inequality x over 10 +6 >8 x<74 x>74
The solution of the given inequality is x/10 + 6 ≥ 8 will be x ≥ 20.
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.”.
Given inequality is:-
x / 10 + 6 ≥ 8
Put the value of x = 20
20 /10 + 6 ≥ 8
2 + 6 ≥ 8
8 ≥ 8
So the value of x will be greater than 20 or equal to 20.
Therefore the solution of the given inequality is x/10 + 6 ≥ 8 will be x ≥ 20.
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A print shop borrows $6700 from a credit union for 338 days the credit union charges simple interest at an annual rate of 10% for this loan assum each day is 1/365 of a year
Answer:
The total he would have to pay back would be $7,320.44
Step-by-step explanation:
(I'm assuming you want the total amount he needs to pay back)
6700 x 0.10 = 670 per year
670 ÷ 365 = 1.835616438356164
1.835616438356164 × 338 = 620.44
620.44 + 6700 = 7,320.44
What is the greater common factor of 24 and 32
Answer:
8
Step-by-step explanation:
To calculate the greatest common factor of 24 and 32, we need to factor each number (factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24; factors of 32 = 1, 2, 4, 8, 16, 32) and choose the greatest factor that exactly divides both 24 and 32, i.e., 8.
Answer:
8
(factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24; factors of 32 = 1, 2, 4, 8, 16, 32)
https://www.flocabulary.com/unit/gcf-lcm/
Rewrite the following equation in standard form.
y = 5x − 8
Answer:
Step-by-step explanation:
in standard form it is
5x - y = 8
A PACK OF TOILET PAPER WAS ORIGINALLY $4.50 , IT COST $6.75. DID THE PRICE INCREASE OR DECREASE?
Solve Angle B please
Answer:
x = 9
Angle B = 40°
Step-by-step explanation:
Angle A = Angle B
[tex]5x-5=3x+13[/tex]
[tex]5x-3x=13+5[/tex]
[tex]2x=18[/tex]
[tex]x=18/2=9[/tex]
Angle B = 3x + 13 = 3(9) + 13 = 27 +13 = 40°
Hope this helps
Gabrielle angles her pool cue against the edge of her pool table, as shown below. What is the measure of angle a and angle b
The relationship between angle A and angle B is supplementary angles.
∠A = 2(5) + 40 = 50 degrees
∠B = 5 + 125 = 130 degrees
What are supplementary angles?Supplementary angles are angles that sum up to 180 degrees. The sum of the two angles for a supplementary angles is 180 degrees .
Therefore, the relationship between angle A and angle B is supplementary angles.
Therefore,
∠A + ∠B = 180 degrees
∠A = 2x + 40
∠B = x + 125
2x + 40 + x + 125 = 180
2x + x + 40 + 125 = 180
3x + 165 = 180
3x = 180 - 165
3x = 15
x = 15 / 3
x = 5
Therefore,
∠A = 2(5) + 40 = 50 degrees
∠B = 5 + 125 = 130 degrees
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Find the area of EFGH
The area of triangle FGH that is similar to triangle ABC is: 8 square feet.
What is the Area of Similar Figures?If two shapes are similar, the ratio of their areas equals the ratio of the square of their corresponding sides.
Therefore:
area of triangle EFG / area of triangle ABC = FG²/BC²
Plug in the values
area of triangle EFG / 18 = 2²/3²
area of triangle EFG / 18 = 4/9
area of triangle EFG = (18×4)/9
area of triangle EFG = 8 sq. ft.
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if f (1) =5 and f (n) = 5f (n-1) + 5 then find the value of f (3)
Using the given information, the value of the f(3) is 155
Determining the value of a functionFrom the question, we are to determine the value of f(3)
From the given information,
f(n) = 5f(n-1) + 5
∴ f(2) = 5f(2-1) +5
f(2) = 5f(1) + 5
From the given information,
f(1) = 5
Then,
f(2) = 5(5) + 5
f(2) = 25 + 5
f(2) = 30
Also,
f(3) = 5f(3-1) + 5
f(3) = 5f(2) + 5
∴ f(3) = 5(30) + 5
f(3) = 150 + 5
f(3) = 155
Hence, the value of the f(3) is 155.
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please help!!!
Events A and B are mutually exclusive. Find the missing probability.
11
17
6) P(B) = P(A or B) =
P(A) = ?
20
20
17
A) 1/15
B)
C)
E) None of these
5/6 0/-
D)
2014
The missing probability for the given mutually exclusive event is 3/10
What is Mutually Exclusive Event?Mutually exclusive events are those events that do not occur at the same time.
Here, Let P(A) be x,
P(B) = 11/20, P(A or B) = 17/20, P(A and B) = 0
By Addition theorem of Probability,
P(A or B) = P(A) + P(B) - P(A and B)
17/20 = x + 11/20 - 0
x = [tex]\frac{17}{20} - \frac{11}{20}[/tex]
x = 6/20
x = 3/10
Thus, The missing probability for the given mutually exclusive event is 3/10
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Answer:
C) 3/10
Step-by-step explanation:
Applying the Addition Theorem of Probability :
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
Here :
P(A ∪ B) = 17/20P(B) = 11/20P(A ∩ B) = 0 (as they are mutually exclusive)Solving :
17/20 = 11/20 + 0 + P(A)P(A) = 17/20 - 11/20P(A) = 6/20 = 3/10NEED HELP ON THIS
If z=-1-i, find z^10 in rectangular form.
The polar form of this problem is 3cis90degrees, what’s the rectangular form?
Answer:
See below for answers and explanations
Step-by-step explanation:
Problem 1
Let [tex]z=r(\cos\theta+i\sin\theta)[/tex] be a complex number, where [tex]n[/tex] is an integer and [tex]n\geq 1[/tex]. By DeMoivre's Theorem, if [tex]z^n=r^n(\cos\theta+i\sin\theta)^n[/tex], then [tex]z^n=r^n(\cos n\theta+i\sin n\theta)[/tex].
Hence, we must first convert from rectangular to polar form:
[tex]z=-1-i\\\\r=\sqrt{a^2+b^2}\\\\r=\sqrt{(-1)^2+(-1)^2}\\\\r=\sqrt{1+1}\\\\r=\sqrt{2}[/tex]
[tex]\displaystyle \theta=\tan^{-1}\biggr(\frac{y}{x}\biggr)\\\\\theta=\tan^{-1}\biggr(\frac{-1}{-1}\biggr)\\ \\\theta=\tan^{-1}(1)\\\\\theta=45^\circ[/tex]
Therefore, the rectangular form for the complex number is [tex]z=\sqrt{2}(\cos45^\circ+i\sin45^\circ)[/tex], and now we can apply DeMoivre's Theorem to raise the complex number to the 10th power:
[tex]z=\sqrt{2}(\cos45^\circ+i\sin45^\circ)\\\\z^{10}=\sqrt{2}^{10}(\cos45^\circ+i\sin45^\circ)^{10}\\\\z^{10}=2^5(\cos10\cdot45^\circ+i\sin10\cdot45^\circ)\\\\z^{10}=32(\cos450^\circ+i\sin450^\circ)\\\\z^{10}=32(0+i)\\\\z^{10}=32i[/tex]
Therefore, [tex]z^{10}=32i[/tex] in rectangular form.
Problem 2
[tex]3\:\text{cis}\:90^\circ=3(\cos90^\circ+i\sin90^\circ)=3(0+i)=3i[/tex]
Therefore, [tex]3\:\text{cis}\:90^\circ=3i[/tex] in rectangular form.
What number is 110% of 17?
Answer:
18.7
Step-by-step explanation:
110 % = 1.1
17 x 1.1 = 18.7
ALSO:
percentages are reversible which means that you can also do 17% of 110 which makes it seem more normal.
17% of 110 is also 18.7
Answer: Heyaa! ^
18.7 is 110% of 17 ~ Making your answer be 18.7
Step-by-step explanation:
Evaulte the problem..
Hopefully this helps you! ~
One number is twice another number.
The larger number is 6 less than three
times the smaller number. Find the
two numbers.
Look at the image below.
Find the area of the parallelogram.
Answer:
Below.
Step-by-step explanation:
Area = base * perpendicular height
= 3 * 5
= 15 square units.
The area of the parallelogram is 15 square units.
What is Parallelogram?Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.
Opposite sides are parallel, and the opposite sides and opposite angles are equal
Area of a two dimensional shape is the total region which is bounded by the object's shape.
If the base and height is known,
Area of a parallelogram = base × height
Given base = 3
Height = 5
Area = 3 × 5 = 15 square units
Hence the required area of the parallelogram is 15 square units.
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can anyone answer this? i’ve had multiples tutors and none have been able to help.
Answer:
Area = 3430
Step-by-step explanation:
Graphing y = 28x - x^2 with it's limit interval (0<x<28). They ask for four sub-interval of LRAM.
Divide the base of 28 into 4 equal rectangles.
Area = (Base * Height) + (Base * Height) + (Base * Height) + (Base * Height)
Area = (0 * 7) + (147 * 7) + (196 * 7) + (147 * 7)
Area = 3430
to win at lotto in one state one must correctly select 7 numbers from a collection of 57 numbers. how many different selections are possible
Ms. Jones baked 12 cookies on Monday. On Tuesday, she baked 15 cookies, on Wednesday, she baked 18 cookies. If Ms. Jones continues baking cookies this way, how many will she bake on Friday?
Answer:
19 or 20
Step-by-step explanation:
well is see
Monday = 12
Tuesday = 12 + 3 = 15
Wednesday = 15 +3 = 18
so the pattern is 3
but now since there is only 14, 13, 19, and 20
we could say she only added 1 or 1 each time
because it said she wanted cookies to stay about 18
1 x 2 = 2
18 + 2 = 20
or
1 + 18
19
sorry if it's wrong
An object has the mass of 900 g and a volume of 1,875 cm3.
Calculate its density.
g/cm3
Maths
If the mass of the object is 900 g and the volume is 1,875 cm³. Then the density of the object is 0.48 g/cm³.
What is density?Density is defined as the mass per unit volume. It is an important parameter in order to understand the fluid and its properties. Its unit is kg/m³.
The mass and density relation is given as
Density = mass / volume
An object has a mass of 900 g and a volume of 1,875 cm³.
Then the density will be
Density = 900/1875
Density = 0.48 g/cm³
Then the density of the object is 0.48 g/cm³.
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The sides of a triangle are 77, 56, and 59. Use the Pythagorean Theorem to determine
if the triangle is right, acute, or obtuse.
the
The triangle is y because the square of the largest side
sum of the squares of the other two sides.
Step-by-step explanation:
59^2+56^2=77^2
3481+3136=5929
no not right triangle
im guessing its and acute triangle
i don't understand what else your trying to ask after that
Answer:
obtuse and greater than
Step-by-step explanation:
obtuse and greater than
cot Ф = 2
please please please help
Answer:
Radians:Ф=0.46364... +π n
Degrees:Ф= 26.56505 + 180° n.
Step-by-step explanation:
Apply trig inverse properties
Ф= arccot(2) +π n
Ф=0.46364... +π n
Radians:Ф=0.46364... +π n
Degrees:Ф= 26.56505 + 180° n.
A small college with 1,200 total students has a student government of 40 members. From its members, the student government will elect a president, vice president, secretary, and treasurer. No single member can hold more than 1 of these 4 positions.
The permutation formula n Pr can be used to find the number of unique ways the student government can arrange its members into these positions,
What are the appropriate values of n and r?
Answer:
20 New professors
Step-by-step explanation:The current ratio is 1200%2F80 = 15.
The new ratio/proportion should be %281500%29%2Fx = 15.
From here, find x = 1500%2F15 = 100 professors.
They must hire 100-80 = 20 new professors.
Answer: N=40
r=4
Step-by-step explanation:
We use the notation
�
P
�
nPrn, start text, P, end text, r to describe permutations. This notation represents the number of unique arrangements that exist when we select
�
rr objects without replacement from a set of
�
nn distinct objects.
In this scenario, how many students are we selecting to fill positions? How many students are we selecting from?
Hint #22 / 3
The student government is electing
4
44 of its
40
4040 members to fill the positions of president, vice president, secretary, and treasurer. So
�
nn should be
40
4040 and
�
rr should be
4
44.
Hint #33 / 3
These are the appropriate values of
�
nn and
�
rr:
�
=
40
�
=
4
n
r
=40
=4
plot points for the function f(x)=x^+2x
The equation f(x)=x² + 2x is a quadratic equation, and it passes through the points (0,0) and (1,3)
How to plot the points for the equation?The equation is given as:
f(x)=x² + 2x
Set x = 0
f(0)= 0² + 2(0) = 0
Set x = 1
f(1)= 1² + 2(1) = 3
The above means that the equation f(x)=x² + 2x passes through the points (0,0) and (1,3)
See attachment for the graph of f(x)=x² + 2x
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HELP ASAP!! (NO LINKS) I WILL GIVE BRAINLIEST
The numbers of attendees at the carnival over the last 15 days are 50, 200, 175, 125, 75,
100, 150, 225, 250, 100, 125, 75, 25, 225, and 175. identify the box-and-whisker plot for
the data.
Answer:
The answer is C.
Step-by-step explanation:
From looking at the values you are given. The only one that matchs with your beginning values of 25 and endding values of 250 is answer C. For a more elaborate explanation, please ask another student for more details.
What number (X) comes next in the series (17, 9, 18, 7, 19, 5, 20, X)
Answer:
x = 3
Step-by-step explanation:
The pattern is that every other number increases by 1, while the next decreases by 2
1. 17,18,19,20
2. 9,7,5,x
5-2 =3
3 is the answer.
Solutions:
Odd Terms: 17, 18, 19, 20
Find the common difference.
d = a₂ - a₁
d = 18 - 17
d = 1
Thus, for every odd term, the next terms are derived by adding 1.
Even Terms: 9, 7, 5, x
Find the common difference.
d = a₂ - a₁
d= 7 - 9
d = -2
Find x.
x = 5 + d
x = 5 + (-2)
x = 5 - 2
x = 3
Therefore, x = 3.
What is a sequence?In an arithmetic sequence, a term is obtained by adding a constant number to the preceding term. A sequence whose succeeding terms are obtained by adding a constant. Constant is called the common difference. Formula is a_n = a₁ + d(n - 1). The common difference is obtained by subtracting the first term from the second term.
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A farmer planted five rows of banana trees. Each row had six trees. His goat ate eight of the flowers. How many trees were left?
Answer:
Step-by-step explanation:
if his goat ate 8 flowers why is it asking how many trees?
The pool where Asha swims is rectangular.
It is 2500 cm long and 1250 cm wide.
The four sides of the swimming pool are 150 cm deep.
They are covered with small square tiles of different colours.
The rectangular pool where Asha swims would need 4.6875 * 10⁸ cm³ of water to make it full.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The pool where Asha swims is rectangular. It is 2500 cm long, 1250 cm wide and 150 cm deep.
Hence:
Volume of the pool = 2500 * 1250 * 150 = 4.6875 * 10⁸ cm³
The rectangular pool where Asha swims would need 4.6875 * 10⁸ cm³ of water to make it full.
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The ratio of boys to girls in a class is
3:4. If there are 28 students
altogether in the class, how many of
them are girls?
Answer:
16 girls.
Step-by-step explanation:
Ignoring for a second the strict gender binary here, let's break down what this problem is telling us. A ratio of 3 boys to 4 girls means that for every 3 + 4 = 7 students, 3 are boys and 4 are girls. A class of 28 students is 4 times bigger than 7, so we can multiply each number in the ratio by 4 to get the count for this larger class. Doing that math, we find 3 · 4 = 12 boys and 4 · 4 = 16 girls.
In the diagram above, <1=40. Find the measure of <4
<4 = [???]
Answer:
40 degrees.
Step-by-step explanation:
< 4 = < 1 = 40 degrees
( as they are vertical ( opposite) angles)
( US = vertical, UK = opposite)
Answer:
m∠4 = 40°
Step-by-step explanation:
we notice that ∠1 and ∠4 are two Vertically opposite angles which means they are equal to each other then m∠4 = m∠1 = 40°
If five quarts of paint are needed for 250 square-feet of room, 13 quarts of paint will cover how many square feet of room?
Do not put units or commas, only put the number value to the nearest whole number.
Answer:
650
Step-by-step explanation:
let the unknown feet of room = X
5 paints = 250 square feet of room
13 paints = X
cross multiply
5*X = 250*13
X =3250÷5
X = 650 square feet of room
a pentagon with sides 3 4 5 6 and 7 has area 48m. find the perimeter of a similar pentagon whose area is 27m
i give brainliest to first answer
Answer & step-by-step explanation:
Please see image attached below:
