Answers
Step-by-step explanation:
[tex] {7}^{ - 3} \times {7}^{ - 5} \times 7 {}^{ - 1} [/tex]
[tex] \frac{1}{7 {}^{3} } \times \frac{1}{ {7}^{5} } \times \frac{1}{7 } \\ \frac{1}{ {7}^{3 + 5 + 1 } } \\ \frac{1}{ {7}^{9} } \\ [/tex]
Step-by-step explanation:
[tex] = {7}^{ - 3} \times {7}^{ - 5} \times {7}^{ - 1} [/tex]
[tex] = {7}^{( - 3 - 5 - 1)} [/tex]
[tex] = {7}^{ - 9} [/tex]
[tex] = \frac{1}{ {7}^{9} } [/tex]
Related Questions
If n is any positive 2-digit integer, what is the greatest positive integer that must be a factor of n(n+1)(n+2)(n+3)?
Answers
Step-by-step explanation:
Notice that in n(n + 1)(n + 2)(n + 3):
Exactly 2 of them are multiples of 2,
At least 1 of them is a multiple of 3, and
At least 1 of them is a multiple of 4.
Since one of the multiples of 2 is already counted in the multiple of 4 we can ignore it.
Hence we have 2 * 3 * 4 = 24.
The greater positive integer that must be a factor is 24.
Find the equation of the linear function represented by the table below in slope intercept form.
Answers
Answer:
y = -3x - 2
Step-by-step explanation:
slope (m) = (-8 - -5) / (2 - 1) ... difference of y/difference of x
m = -3
y = mx + b
y = -3x + b
for (3,-11) b = y + 3x = -11 + 3x3 = -2
equation: y = -3x - 2
The perimeter of a rectangle is 48 cm its length is 4 cm what is the width
Answers
P - 48
w = 20 cm
How do you know from a graph if a relationship is a direct variation?
Answers
Answer:
A direct variation is when x and y (or f(x) and x) are directly proportional to each other... For example, if you have a chart that says x and y, and in the x column is 1, 2 and 3, and the y column says 2, 4 and 6... then you know it's proportional because for each x, y increases by 2
Step-by-step explanation:
Which ordered pair is the best estimate for the solution to the system?
(4.8,5.2)
(5.5,4.3)
(5.1,4.8)
(6.5,5.2)
Answers
Answer:
5.5, 4.333 or 13/3
Step-by-step explanation:
Use substitution method.
Answer:
(5.5, 4.3 )
Step-by-step explanation:
Given the 2 equations
4x - 15y = - 43 → (1)
2x - 3y = - 2 → (2)
Multiplying (2) by - 2 and adding to (1) eliminates the term in x
- 4x + 6y = 4 → (3)
Add (1) and (3) term by term to eliminate x, that is
- 9y = - 39 ( divide both sides by - 9 )
y = [tex]\frac{39}{9}[/tex] ≈ 4.3 ( to 1 dec. place )
Substitute this value into either of the 2 equations and solve for x
Substituting into (2)
2x - 3([tex]\frac{39}{9}[/tex] ) = - 2
2x - 13 = - 2 ( add 13 to both sides )
2x = 11 ( divide both sides by 2 )
x = 5.5
Best solution is (5.5, 4.3 )
WILL GIVE BRAINLIEST!!! Help asap :)
Answers
Find the length of the missing side. Round to the nearest tenth (one decimal place).
Answers
Answer:
x ≈ 9.4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²Step-by-step explanation:
Step 1: Define
We are given a right triangle. We can use PT to find the missing length.
Step 2: Identify Variables
Leg a = 9
Leg b = x
Hypotenuse c = 13
Step 3: Solve for x
Substitute [PT]: 9² + x² = 13²Isolate x term: x² = 13² - 9²Exponents: x² = 169 - 81Subtract: x² = 88Isolate x: x = 2√22Evaluate: x = 9.38083Round: x ≈ 9.4a clothing retailer marks up his merchandise at a rate of 150% so that he can regularly offer a 25% off sale. if the retail price of a sweater is $60 determine the Retailer's cost and the sale price
Answers
Answer:
Answer in photo
Step-by-step explanation:
w − y if w = 20 and y = −8
Answers
Answer:
20 + 8 =28
Step-by-step explanation:
Simplify (30+20)×50 pls find ans
Answers
Answer:
2500
Step-by-step explanation:
solve brackets first
30+20=50
now multiply 50 × 50 (out of the brackets )
50 × 50 = 2500
PLEASE HELP! WILL MARK BRAINLEIST!!!A local charity is selling seats to a baseball game, Seats cost $20 each and snacks cost an additional $5 each. The charity needs to raise $400 to consider this event a success. graph the linear equation. Be sure to label both axes with the appropriate titles.
Answers
Answer:
I think this should be your answer look at attachment
Step-by-step explanation:
hope this helps
The graph of the given situation is required.
The required graph is attached.
Let x be the cost of each seat
and y be the cost of additional snack.
Cost of seat = $20
Cost of snack = $5
Total cost = $400
The linear equation will be
[tex]20x+5y=400[/tex]
Finding two points
[tex]x=0[/tex]
[tex]5y=400\\\Rightarrow y=\dfrac{400}{5}=80[/tex]
[tex](0,80)[/tex]
[tex]y=0[/tex]
[tex]20x=400\\\Rightarrow x=\dfrac{400}{20}\\\Rightarrow x=20[/tex]
[tex](20,0)[/tex]
Join the points and the graph representing the situation is obtained.
Learn more:
https://brainly.com/question/14268805
https://brainly.com/question/7744405
What is the solution to the inequality 2n+5| > 1?
Answers
Answer:
n < - 3 or n > - 2
Step-by-step explanation:
Inequalities of the type | x | > a , have solutions of the form
x < - a or x > a
Then
2n + 5 < - 1 or 2n + 5 > 1
Solve both inequalities
2n + 5 < - 1 ( subtract 5 from both sides )
2n < - 6 ( divide both sides by 2 )
n < - 3
OR
2n + 5 > 1 ( subtract 5 from both sides )
2n > - 4 ( divide both sides by 2 )
n > - 2
Solution is n < - 3 or n > - 2
Mrs. Robertson is preparing manipulatives for her math class. Each student will receive a plastic cup with 20 two-color counters. The total number of two-color counters, c, that Mrs. Robertson needs varies directly as the number of students, s. Draw a graph showing the proportional relationship between c and s.
Answers
Answer:
Step-by-step explanation:
I just got this correct on the test
The linear relationship between c and s is c = 20s and on the graph paper, it will be a line.
What is a proportional relationship?It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
We have:
Mrs. Robertson is preparing manipulatives for her math class. Each student will receive a plastic cup with 20 two-color counters.
c is the total number of two-color counters
s is the number of students
The linear relationship becomes:
c = 20s
Thus, the linear relationship between c and s is c = 20s and on the graph paper, it will be a line.
Learn more about the proportional here:
brainly.com/question/14263719
#SPJ5
plz help me asap i have 7 min plz
Answers
Answer:
[tex] {\huge{\boxed{\red{- 10 < - 4}}}}[/tex]
someone please help i don’t understand
Answers
what is a gram yyyyyyyyyy
Answers
Answer:
The FitnessGram Pacer test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The 20 meter Pacer test will begin in 30 seconds. Line up at the start. The running speed starts slowly, but gets faster each minute after you hear this signal *boop*.
Step-by-step explanation:
Answer:
The Grammy Award, or just Grammy, is an award presented by the Recording Academy to recognize achievements in the music industry. The trophy depicts a gilded gramophone. The annual presentation ceremony features performances by prominent artists, and the presentation of those awards that have a more popular interest.
Mark invests $6,700 in an online savings account which gives 4.2% simple annual interest. He also invests $6,000 in a savings account at his local bank which gives 6.9% simple annual interest. After fifteen years how much more interest will it have earned, to the nearest dollar?
Answers
Answer:
$4,221.00 for online and 6,210.00 for the instore
Step-by-step explanation:
Calculation:
First, converting R percent to r a decimal
r = R/100 = 4.2%/100 = 0.042 per year.
Solving our equation:
A = 6700(1 + (0.042 × 15)) = 10921
A = $10,921.00
The total amount accrued, principal plus interest, from simple interest on a principal of $6,700.00 at a rate of 4.2% per year for 15 years is $10,921.00.
Calculation:
First, converting R percent to r a decimal
r = R/100 = 6.9%/100 = 0.069 per year.
Solving our equation:
A = 6000(1 + (0.069 × 15)) = 12210
A = $12,210.00
The total amount accrued, principal plus interest, from simple interest on a principal of $6,000.00 at a rate of 6.9% per year for 15 years is $12,210.00.
What is the simplified form of StartRoot 144 x Superscript 36 Baseline EndRoot?
Answers
Answer:
add pic pls ok?
Step-by-step explanation:
Answer:
Its B 12x^18
Step-by-step explanation:
A cylinder an a cone have the same volume.The cylinder has a radius of 2 inches and a height of 3 inches.The cone has a radius of 3 inches . What is the height of the Cone?
Answers
Volume of a cone = (1/3) pi x r^2 x h
Volume of a cylinder = pi x r^2 x h
Volume of the cylinder = pi x 2^2 x 3 = 37.68 cubic inches
Now set the volume for the cone to the volume of the cylinder and solve for the height.
37.68 = (1/3) x pi x r^2 x h
37.68 = (1/3) x pi x 3^2 x h
37.68 = (1/3) x pi x 9 x h
37.68 = 9.42 x h
h = 37.68 / 9.42
h = 4
The height of the cone is 4 cm.
PLEASE HELP MEEEEEEE
Answers
Answer:
3/4 and in decimal it's 0.75
Step-by-step explanation:
The ordered pairs in the table below represent a linear function.
x
y
2
3
5
9
What is the slope of the function?
Answers
Answer:
The slope is 2
Step-by-step explanation:
Given
x y
2 3
5 9
Required
Determine the slope
First, we have:
[tex](x_1,y_1) = (2,3)[/tex]
[tex](x_2,y_2) = (5,9)[/tex]
The slope is then calculated as:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
This gives:
[tex]m = \frac{9-3}{5-2}[/tex]
[tex]m = \frac{6}{3}[/tex]
[tex]m =2[/tex]
Hence, the slope is 2.
Answer:
C
Step-by-step explanation:
Solve the equation -3(x-14)+9x=6x+42. Does the equation have one solution, no solution, or infinitely many solutions?
Answers
Answer:
-3x+42+9x=6x+42
0x=0
x=0
Step-by-step explanation:
there is no solution
Answer:
infinitely many solutions
Step-by-step explanation:
Given
- 3(x - 14) + 9x = 6x + 42 ← distribute and simplify left side
- 3x + 42 + 9x = 6x + 42
6x + 42 = 6x + 42
Since the equation is the same on both sides, then any real value of x is a solution.
That is has infinite solutions
Before a football game can be played, the playing field must be painted. Football fields are rectangles. How can a couch guarantee that the field he is about to paint is a rectangle and not a parallelogram using only a tape measure?
Answers
Answer and Step-by-step explanation:
The only way the coach can guarantee that he is about to paint a rectangle using only a tape measure is by measuring opposite sides of the field and be assured that they are equal.
This is because the opposite sides of a rectangle are always the same, else it is not a rectangle.
In the given figure, O is the centre of the circle. For
what values of x and y , chord BC will pass through
the centre of circle where points A, B and C are on
the circle?
(a) x = 90, y = 60 (b) x =75,y= 30
(c) x = 65, y = 90 (d) x =90, y = 65
Answers
Answer:
d
Step-by-step explanation:
If chord BC passes through the centre then it is a diameter . then
∠ BAC is the angle in a semicircle and x = 90°
y = 180° - (90 + 25) ← angle sum in a triangle
y = 180° - 115° = 65°
Thus
x = 90°, y = 65° → d
In this exercise we have to use the knowledge of triangles inscribed in a circle, in this way it will be possible to calculate the angles, then:
Letter D
Knowing that it is a triangle inscribed in a circle, in this way we can describe it as:
BAC is the angle in a semicircle and x = 90°Angle sum in a triangle is [tex]y = 180 - (90 + 25)[/tex]So:
[tex]y = 180 - 115 = 65\\ x = 90\\ y = 65 [/tex]
See more about triangles at brainly.com/question/25813512
HELP PLS IM STRUGGLING .
Math each term with its definition.
a A portion of a line consisting of two points and
e.
Lines that intersect at right angles.
all points between them.
b. A connected straight path. It has no thickness
f. A specific location, it has no dimension and is
represented by a dot.
and it continues forever in both directions.
GA figure formed by two rays with the same
d. A portion ofa line that starts at a point and
The set of all points in a plane that are a foxed
distance from a point caled the center.
&
endpoint.
h. Lines that lie in the same plane and do not
continues forever in one dire ction.
intersect.
Vperpendicular lines
parallel lines
angle
Vcircles
Vline segment
Answers
Answer:
Step-by-step explanation:
Perpendicular angles, E
Line segment, D
Parallel lines, H
Answer:
F - Perpendicular line
C - angle
A -line segment
H - parallel lines
D - circle
G - point
B - line
E - ray
Step-by-step explanation:
Reciprocal of 5/6=..............
Answers
Step-by-step explanation:
To find the reciprocal, divide 1 by the number given. Simplify. Multiply the numerator by the reciprocal of the denominator. Multiply 65 6 5 by 1 1 .
Which of the following represents a line parallel to the y-axis
Answers
Answer:
c) x=4
Step-by-step explanation:
Expand the following :
A) 2(x+3)
B) 5(2x-4)
C) 4(2x+1)
D) 6(x-4y)
Answers
Answer:
A. 2x+6 . B. 10x-20 C. 8x+4 D. 6x-24y
Step-by-step explanation:
5 2/3 divided by 3/2 please answer soon
Answers
When you divide, multiply by one of the fraction’s reciprocal
17/3 * 2/3 = 34/9
The solution is 34/9
Elena has $225 in her bank account. She takes out $20 each week for weeks. After weeks she has d dollars left in her bank account. Write an equation that represents the amount of money left, d, in her bank account after 5 weeks.
a)20(5)+225=
b)225(5)−20=
c)22520+5=
d)225−20(5)=
.How much money, d, will Elena have in her account after 7 weeks?
Answers
Answer:
the equation to use would be D (255-20(5) = ?). To solve, first multiply 20 and 5 and you would get 100 so the equation would be 255 - 100 = ? Then you would subtract 100 from the 255 to get $155 left. To solve for 7 weeks you would replace the 5 in the equation with 7 so your equation would be 255 - 20(7) = ? Next you would multiply 20 and 7 to get 140. the equation would then be 255 - 140 = ? Subtract 140 from 255 and you would get 115. So after 7 weeks she would have $115 left in her account.