[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]( { {5}^{3} })^{ - 3} \\ \\ which\:means \:that \: {5}^{3}\: is \:multiplied \:thrice\: with\: itself\\ \\ = {5}^{3 \times - 3} \\ \\ = {5}^{ - 9} \\ \\= \frac{1}{ {5}^{9} } \\ \\ = \frac{1}{5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5} \\ \\ = \frac{1}{1953125} [/tex]
Note:-
[tex]( { {a}^{m} })^{n} = {a}^{m \times n} [/tex]
[tex]{a}^{ - m} = \frac{1}{ {a}^{m} }[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
What is the value of the expression, written in standard form?
Answer:
200
Step-by-step explanation:
6.6/3.3 = 2
10^-2 / 10^-4 = 10^2
10^2 = 100
2 x 100 = 200
Which expression is equivalent to the given expression?
(3y – 4)(2y + 7) + 1ly – 9
Answer:
16y-6
Step-by-step explanation:
(3y-4)(2y+7)+11y-9
5y+3+11y-9
16y-6
????????????????????????mark me brainliest pls! :}Answer: D. 6y^2 + 24y - 37
Step-by-step explanation:
i would but a homie is running on a flip phone hehe
jus use the distributive thing
If two lines are perpendicular, their slopes are negative reciprocals
Answer:
true
Step-by-step explanation:
Answer:
True
Both slopes have to be negative reciprocals for the two lines to be perpendicular.
Hope this Helps!
Circle o centered at the origin that passes through (9,-2)
Answer:
Step-by-step explanation:
center at the origin means
x^2 + y^2 = r^2
9^2 + (-2)^2 = 81+4 = 85, so the circle is
x^2 + y^2 = 85
center at (0,-2) means
x^2 + (y+2)^2 = r^2
(-6)^2 + (0+2)^2 = 36+4 = 40
x^2 + (y+2)^2 = 40
The equation of circle which is centered at the origin that passes through (9,-2) is,
⇒ x² + y² = 85
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
We have to given that;
Circle o centered at the origin that passes through (9,-2).
Now, We can find the radius of circle as;
Radius of circle is distance between (0, 0) and point (9, - 2).
⇒ r = √ (- 2 - 0)² + (9 - 0)²
⇒ r = √4 + 81
⇒ r = √85
Thus, The equation of circle which is centered at the origin that passes through (9,-2) is,
⇒ x² + y² = (√85)²
⇒ x² + y² = 85
Learn more about the circle visit:
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Help,anyone can help me do quetion
geckos sundry cheri suffering augusto
Answer;
B3 = 72°
C3 = 84°
Solution
B3: x = 180° - 55° - [ 180° - 127° ] = 127°- 55° = 72°
C3: x = 180° - 133°+ [ 180°-143° ] = 47°+37°= 84°
feedback
hope it helps you. thank you.
Acri invested $500 for 3 years at the rate of 2.8% per year compound interest. Calculate the final amount he has after 3 years
Answer:
[tex]A=P (1 + \frac{r}n)} ^{nt}[/tex]
A = 500(1 + .028/1)^ (3*1)
$543.19
Step-by-step explanation:
in how many ways can a principal choose 3 of their 30 teachers to attend a conference
need ko po ng explanation please.....
Answer:
[tex]4,060[/tex]
Step-by-step explanation:
[tex]\binom{30}{3}=\boxed{4060}[/tex]
There are 30 teachers for the principal to choose from initially. After the principal chooses one, there will be 29, 28, 27, and so on.
Since the principal is only choosing 3, there are [tex]30\cdot 29\cdot 28=24,360[/tex] permutations. However, the order of which the principal chooses the teachers does not matter. In other words, without loss of generality, let the name of three of the teachers be Adam, Bernie, and Carla. Regardless of whether the principal chooses Adam then Bernie then Carla or Carla then Adam then Bernie, etcetera, the same three teachers are still being chosen.
Thus, we must divide by the number of ways you can rearrange three distinct teachers, which is [tex]3![/tex].
Therefore, the desired answer is [tex]\frac{24360}{3!}=\frac{24360}{6}=\boxed{4,060}[/tex]
A set of weights includes an 8 lb. barbell and 6 pairs of weight plates. Each pair of plates weighs 15 lb. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in pounds can be represented by f(x) = 15x + 8. What is the range of the function for this situation?
Answer
8,98
Step-by-step explanation:
the minimum amount of weight you can use is the barbell alone which is 8lbs by itself and the maximum is 98 because there are 6 15lb plates which equal to 90lb total and when you add the 6 plates to the barbell you get 98lbs
find the inverse of the given function h(x) = 2x-4/3
Answer:
[tex]h^-^1(x)=0.5x+1.5[/tex]
Step-by-step explanation:
Finding the inverse of a function is similar to solving for the complete opposite of a function. An easy trick to do so is the think of the resulting value (h(x)) as another variable. Solve the equation for (x) in terms of (h(x)). Finally, switch the variable and evalutator so that one has the funciton in inverse function notation.
[tex]h(x) = 2x - \frac{4}{3}[/tex]
Inverse operations,
[tex]h(x)=2x-\frac{4}{3}\\\\h(x)+\frac{4}{3}=2x\\\\\frac{h(x)+\frac{3}{4}}{2}=x[/tex]
Simplify,
[tex]0.5(h(x))+1.5=x[/tex]
Write in inverse function notation,
[tex]h^-^1(x)=0.5x+1.5[/tex]
35 and 50 (make a chart, list all factors, and make factor tree)
Answer:
35 50
1 2
5 5
7 10
35 25
50
Factor Trees are in the images!
type of lines can be found in letter T vertical and _______
Answer:
Horizontal
Step-by-step explanation:
X(x-3)=0 find all solutions what does x=?
Need help with this math
Here is all of my work from answering the question. I’ll put pictures too, my handwriting is pretty good so it should be easy to see. ;)
Part A-
1) 4x-3 = -2x+9
2) 4x+2x -3 = -2x+2x + 9
3) 6x -3 = 9
4) 6x -3+3 = 9+3
5) 6x = 12
6) 6x/6 = 12/6
7) x = 2
Part B-
1) y=4x-3
2) y=4(2)-3
3) y=8-3
4) y= 5
Therefore, x = 2 and y = 5.
I used substitution in Part B. 4x and x = 2.
I really hope this is right and helps, good luck! ;)
help appreciated!!!!!
Answer:
Step-by-step explanation:
the given equation is in the form of quadratic formula i.e.ax^2+bx+c=0.
So ,here a=-1 ,b=-6 and c=-9
b^2=(-6)^2
=36
4ac=4*(-1)*(-9)
=4*9
=36
b^2-4ac=36-36
=0
number of solutions =1
Hope this helps u !!
Laura has a set of 16 books. Each book in the set weighs the same. One book has a weight of 0.8 kilograms (kg). Laura wants to find the total weight, w, of the set of books.Which equation and solution shows the total weight of the set of books A.
w=16×0.8w=12.8 kg, B.w=16−0.8w=15.2 kg
c.w=16+0.8w=16.8 kg D.w=16÷0.8w=20.0 kg
A game decreased by 1/5. After the reduction it was priced at £48. What was the original price of the game. Can someone show me an easy method please? :)
Answer:
60
Step-by-step explanation:
Reduced cost=(4/5)*original price
Original price=48*(5/4)=60
Evaluate 5c−3d+115c-3d+115c−3d+115, c, minus, 3, d, plus, 11 when c=7c=7c=7c, equals, 7 and d=8d=8d=8d, equals, 8.
Answer:
use substitution
(5 x 7) - (3 x 8) + 11= 35 - 24 + 11= 22
Answer:
22
Step-by-step explanation:
I need help with math 2 on gradpoint I’ll literally pay anyone because I need the class to graduate.
What is the approximate area is the shaded sector in the circle shown below?
Answer:
B.
Step-by-step explanation:
1) the area of the given circle is: A=π*r²=256π (in²).
2) the part of the shaded sector is 110/360=11/36, it means that the required area of the shaded sector is: 11/36 * A = 256* π * 11 / 36≈246 (in²).
3. Find the measure of each indicated arc or the measure of an inscribed angle.
b. Find the measure of Arc BAD
Answer:
Step-by-step explanation:
Arc BAD is intercepted by inscribed angle BCD which measures 110. The rule is that an intercepted arc is twice the measure of the angle that intercepts it. Therefore, arc BAD is 110(2) which is 220.
What is the measurements for me b ?
Answer:
Step-by-step explanation:
Angle b and the one that measures 76 are vertical angles. That means that they also have the same exact angle values. Therefore, b = 76 degrees
Find the value of x.
Answer:
x=9
Step-by-step explanation:
so the angles of a triangle add up to 180 and since it shows two angles of 60 which makes 120, you have 60 more degrees which means A has to be 60 degrees. so if all of the angles are the same then the side lengths are the same so since it already shows one side =9 then x=9
Answer:
x=9
Step-by-step explanation:
missing angle + 60 + 60=180 degree (sum of interior angles of a triangle
missing angle + 120 =180
missing angle =180 -120
missing angle =60 degree
since all angles are 60 degree it is an equilateral triangle and all sides of a equailateral triangle are equal .So, x is also 9
What value of c is needed to complete the square?
X2 + 10x + c = -3+ c
Answer:
Step-by-step explanation:Let's solve for c.
x2+10x+c=−3+c
Step 1: Add -c to both sides.
x2+c+10x+−c=c−3+−c
x2+10x=−3
Step 2: Add -x^2 to both sides.
x2+10x+−x2=−3+−x2
10x=−x2−3
Step 3: Add -10x to both sides.
10x+−10x=−x2−3+−10x
0=−x2−10x−3
Step 4: Divide both sides by 0.
0
0
=
−x2−10x−3
0
c=
−x2−10x−3
0
Answer:
c=
−x2−10x−3/0
hope it helps :D
At Mike’s Pet shop there are 300 total animals and the ratio of cats to dogs is 7:3. At Pets R Us there are 150 total animals and the ratio of cats to dogs is 6:4. What fraction of the total animals at both stores are cats? Show your work
Mikes pet shop: add the ratio: 7+ 3 = 10
Divide total animals by the sum:
300/10 = 30
The ratio of cats is 7
Total cats = 30 x 7 =210
Do the same for Pets R Us:
Ratio: 6 + 4 = 10
150/10 = 15
Cats = 15 x 6 = 90
Total cats = 210 + 90 =300
Total animals = 300 + 150 = 450
Fraction that are cats = 300/450 = 2/3
2/3 of the animals are cats
Write a numerical expression for the verbal expression
eight times six divided by two minus nine
Answer:
Step-by-step explanation:
Ahh
What is the slope of the line that contains the points (-2, 5)and (3,-5)?
Answer:
slope = - 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (3, - 5)
m = [tex]\frac{-5-5}{3-(-2)}[/tex] = [tex]\frac{-10}{3+2}[/tex] = [tex]\frac{-10}{5}[/tex] = - 2
Plz plz plz HELPPPPP 20 divided by 34
Answer:
About 0.588.
Step-by-step explanation:
20 divided by 34 is 0.58823529411.
This rounds to 0.588.
Hope this helps!
No files just type it in please and thank you<3
Answer:
Option C is correct
Step-by-step explanation:
[tex]8 + 8 + 8 + 8 + 8 + 8 = 48[/tex]
[tex]6 \times 8 = 48[/tex]
Hope it is helpful...a) How many possible outcomes are there when 3 coins are tossed? b) What is the probability of getting 3 heads? c) What is the probability of getting exactly one heads?
Answer:
a) there are 6 possible outcomes. b) the probability of getting 3 heads would be 3/6. c) the probability of getting 1 head is 1/6.
Anna is cutting several lengths of twine. The length of the first piece is 4 inches. She cuts the second piece one inch longer than 3 times the length of the first piece. If Anna continues the pattern, which sequence shows the lengths of the first four pieces?
Answer:
the pattern is 4, 13, 4, 13. I dont know what the answer choices are, but the first 4 legths put together are 34 inches.
Step-by-step explanation:
look above, hope this helps...
brainliest...
Answer:
The order of the first four strings is 1: 4in 2: 13in 3: 40in 4: 121in