Answer:
4/3 =a
Step-by-step explanation:
10 − 3(2a − 1) = 3a + 1
Distribute
10 -6a +3 = 3a+1
Combine like terms
13 -6a = 3a+1
Add 6a to each side
13-6a+6a = 3a+6a +1
13 = 9a+1
Subtract 1 from each side
13-1 = 9a+1-1
12 = 9a
Divide by 9
12/9 = 9a/9
4/3 =a
a = 4/3
Step-by-step explanation:10 - 3( 2a - 1 ) = 3a + 1
use the distributive property to multiply -3 by 2a -110 - 3 × 2a -3 × -1 = 3a + 1
10 - 6a + 3 = 3a + 1
collect like terms10 + 3 - 6a = 3a + 1
13 - 6a = 3a + 1
Subtract 3a from both sides13 - 6a - 3a = 3a - 3a + 1
13 - 9a = 1
subtract 13 from both side13 - 13 - 9a = 1 - 13
- 9a = - 12
divide both side by -9-9a / - 9 = - 12 / - 9
a = 4/3
Find the measure of the missing angle using the triangle angle sum theorm
Answer:
31°
Step-by-step explanation:
The theorem states that all angle sums of any triangle add up to 180°.
128 + 21 = 149, and to find ?°, subtract 149 from 180 to get 31°.
Hiệu điện thế giữa hai điểm M và N là UMN = 100 V. Một điện tích q = -2μC di chuyển từ M đến N thì công của lực điện là:
Answer:
The work done is - 200 μJ.
Step-by-step explanation:
The potential difference between two points M and N is UMN = 100 V. A charge q = -2μC moves from M to N, the work of the electric force is:
Potential difference, V = 100 V
Charge, q = - 2 μC
The potential difference is defined as the amount of work done in bringing a unit positive test charge from one point to another in the electric field.
So, W = q V
W = - 2 μC x 100 V = - 200 μJ
BRAINlIEST FOR CORRECT ANSWER
Answer:
ok
Step-by-step explanation:
mark me the brainlieast since your question is incomplete
resolver:
[5+(-3+6)+(-2)]-[(-4+10)+(-3)-(-5)]
HELPPPPPPPPPPPPPPPP SOMEONE !!!What is the rate of change of the amount earned with respect to hours worked for this function?
hours per dollar
hours per dollar
3 dollars per hour
13 dollars per hour
Answer:
$13 per hour
Step-by-step explanation:
This is because 26÷2=13, 65÷5=13
Help Please if you don’t mind
Answer:
trinomial = 5x
GCF = 2x(x + 5) + 5(x + 5)
Step-by-step explanation:
2x^2 + 15x + 25
using middle term break method
2x^2 + (10 + 5)x + 25
2x^2 + 10x + 5x + 25
therefore trinomial = 2x^2 + 10x + 5x + 25
GCF(Greatest Common Factor) = 2x^2 + 10x + 5x + 25
=2x(x + 5) + 5(x + 5)
take (x + 5 ) as common
(x + 5)(2x + 5)
(x + 5)(5 + 2x)since the sign of 5 and 2x is same i.e plus sign u can change their place.
The area of a rectangle is 35ft^2 , and the length of the rectangle is 3 ft more than twice the width. Find the dimensions of the rectangle.
Answer:
1228 is your answer
Step-by-step explanation:
In how many ways can we seat 3 pairs of siblings in a row of 7 chairs, so that nobody sits next to their sibling
Answer:
1,968
Step-by-step explanation:
Let x₁ and x₂, y₁ and y₂, and z₁ and z₂ represent the 3 pairs of siblings, and let;
Set X represent the set where the siblings x₁ and x₂ sit together
Set Y represent the set where the siblings y₁ and y₂ sit together
Set Z represent the set where the siblings z₁ and z₂ sit together
We have;
Where the three siblings don't sit together given as [tex]X^c[/tex]∩[tex]Y^c[/tex]∩[tex]Z^c[/tex]
By set theory, we have;
[tex]\left | X^c \cap Y^c \cap Z^c \right |[/tex] = [tex]\left | X^c \cup Y^c \cup Z^c \right |[/tex] = [tex]\left | U \right | - \left | X \cup Y \cup Z \right |[/tex]
[tex]\left | U \right | - \left | X \cup Y \cup Z \right |[/tex] = [tex]\left | U \right | - \left (\left | X \right | + \left | Y\right | + \left | Z\right | - \left | X \cap Y\right | - \left | X \cap Z\right | - \left | Y\cap Z\right | + \left | X \cap Y \cap Z\right | \right)[/tex]
Therefore;
[tex]\left | X^c \cap Y^c \cap Z^c \right | = \left | U \right | - \left (\left | X \right | + \left | Y\right | + \left | Z\right | - \left | X \cap Y\right | - \left | X \cap Z\right | - \left | Y\cap Z\right | + \left | X \cap Y \cap Z\right | \right)[/tex]
Where;
[tex]\left | U\right |[/tex] = The number of ways the 3 pairs of siblings can sit on the 7 chairs = 7!
[tex]\left | X\right |[/tex] = The number of ways x₁ and x₂ can sit together on the 7 chairs = 2 × 6!
[tex]\left | Y\right |[/tex] = The number of ways y₁ and y₂ can sit together on the 7 chairs = 2 × 6!
[tex]\left | Z\right |[/tex] = The number of ways z₁ and z₂ can sit together on the 7 chairs = 2 × 6!
[tex]\left | X \cap Y\right |[/tex] = The number of ways x₁ and x₂ and y₁ and y₂ can sit together on the 7 chairs = 2 × 2 × 5!
[tex]\left | X \cap Z\right |[/tex] = The number of ways x₁ and x₂ and z₁ and z₂ can sit together on the 7 chairs = 2 × 2 × 5!
[tex]\left | Y \cap Z\right |[/tex] = The number of ways y₁ and y₂ and z₁ and z₂ can sit together on the 7 chairs = 2 × 2 × 5!
[tex]\left | X \cap Y \cap Z\right |[/tex] = The number of ways x₁ and x₂, y₁ and y₂ and z₁ and z₂ can sit together on the 7 chairs = 2 × 2 × 2 × 4!
Therefore, we get;
[tex]\left | X^c \cap Y^c \cap Z^c \right |[/tex] = 7! - (2×6! + 2×6! + 2×6! - 2 × 2 × 5! - 2 × 2 × 5! - 2 × 2 × 5! + 2 × 2 × 2 × 4!)
[tex]\left | X^c \cap Y^c \cap Z^c \right |[/tex] = 5,040 - 3072 = 1,968
The number of ways where the three siblings don't sit together given as [tex]\left | X^c \cap Y^c \cap Z^c \right |[/tex] = 1,968
which of the following is a geometric sequence
A. 6, 18, 54, 162
B. 1, 4, 5, 9, 14
C. 3, 6, 9, 12, 15
D. 3, 5, 8, 13, 21
If the measure of < A is 99 ° and the measure of < B is 81 ° , then < A and < B are _____.
Select one:
a. complementary angles
b. adjacent angles
c. vertical angles
d. supplementary angles
Answer:
D.supplementary angles
Step-by-step explanation:
81+99=180
please help guys !!!
Answer:
[tex] \frac{1}{4} \: \: \: \frac{1}{3} \: \: \: \frac{1}{2} \: \: \: \frac{7}{12} \: \: \: \frac{3}{4} [/tex]
Step-by-step explanation:
To arrange in ascending order, first make the denominators of all the fractions the same.
LCM of 2, 3, 4 and 12 is 12.
Now,
[tex] \frac{1}{3} = \frac{4}{12} [/tex]
[tex] \frac{3}{4} = \frac{9}{12} [/tex]
[tex] \frac{1}{4} = \frac{3}{12} [/tex]
[tex] \frac{7}{12} \: \: will \: be \: \: \frac{7}{12} [/tex]
[tex] \frac{1}{2} = \frac{6}{12} [/tex]
Arranging these in ascending order:
[tex] \frac{3}{12} \: \: \: \frac{4}{12} \: \: \: \frac{6}{12} \: \: \: \frac{7}{12} \: \: \: \frac{9}{12} [/tex]
Two exponential functions are shown in the table.
х
f(x)=2*
g(x)=
1
2
2
4
1
4
Which conclusion about f(x) and g(x) can be drawn from
the table?
O The functions f(x) and g(x) are reflections over the x-
axis.
O The functions f(x) and g(x) are reflections over the y-
axis.
O The function f(x) is a decreasing function, and g(x) is
an increasing function.
O The function f(x) has a greater initial value than g(x).
1
2
OT
1
2
1
2
1
1
2
1
4
-2.
4
The true statement about the exponential functions is (b) the functions f(x) and g(x) are reflections over the y-axis.
The functions are given as:
[tex]f(x) = 2^x[/tex]
[tex]g(x) = (\frac 12)^x[/tex]
Reflect function over the y-axis.
The rule of this transformation is:
[tex](x,y)\to (-x,y)[/tex]
So, we have:
[tex]f(x) = 2^x[/tex]
[tex]f'(x) = 2^{-x}[/tex]
Apply power rule of indices
[tex]f'(x) = (\frac{1}{2})^x[/tex]
By comparison:
[tex]g(x) = f'(x) = (\frac{1}{2})^x[/tex]
Hence, the functions f(x) and g(x) are reflections over the y-axis.
Read more about function transformation at:
https://brainly.com/question/1548871
Between 20 to 35 degrees north latitude, and also between 20 to 35 degrees south latitude are found:
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Its area includes all Sahara's locations in North Africa, South Arabia, Iran's and Iraq's larger parts, North-Western India, California throughout the United States, South Africa but most of Australia.
Half-arid temperatures include places like the Utah, Montana, and Gulf Coastal regions of sagebrush. Also, it comprises regions in Iceland, Russia, Scandinavia, Greenland, and Northeast India. Semi-arid thankless than tube called per year of rain and up to 20 inches per year at much more than arid deserts.
Regions from of the latitude of 25° to 35° usually develop desert, because air sinks and is heated under pressures in this area. The world's dry and semi-arid desert regions are between 20°C and 35°C north latitude and between 20°C and 35°C South latitude.
daca cel mai mare divizor comun al lor a si b este 21 iar produsul lor este 15435 cat sunt a si b
Answer:
[tex]{\dag{\underline{{\sf{\red{t {}^{2} = \: \dfrac{4.05}{5} \: = 0.81 \: , \: \: t = 0.9s}}}}}}[/tex]
Which must be true of a quadratic function whose vertex is the same as its y-intercept?
Answer:
A
Step-by-step explanation:
because y-intercept is when x=0, so right on the y axis.
D=22/7×d-90 Solve the equation
Find D
Fast!
Answer:
D=22-90+22d/7
Step-by-step explanation:
D=22/7×d-90
D=-90+22d/7
pls help me in these questions
Answer:
1=85
2=10
3=108
Step-by-step explanation:
Number 1: Calculate each angle...and you know a straight line is 180°. N the interior sum of a quadrilateral is always 360°.
Number2: Use corresponding, alternate and interior angles method. It will help
Number 3: It's just about solving the interior sum of the pentagon
Answer:
2. 10 degrees
3. 108 degrees
Step-by-step explanation:
sorry I reposted it because the previous answer was deleted and plz mark me as a brainliest.
Four graphs are shown below:
Scatter plot A shown with data points that move in an upward direction and are located at 1 and 0.3, 2 and 1, 3 and 2, 4.1 and 4, 5.2 and 6.1, 5.9 and 9.5. Additional points are located at 4.6 and 5, 5.8 and 7.4, 5.2 and 7.1. Scatter plot B is shown with data points that move in an upward direction and are located at 1 and 3, 2 and 4, 3 and 5, 4 and 6, 5 and 6, 6, and 7, 7 and 8, 8 and 9. Scatter plot C is shown with data points that move in a downward direction and are located at 1 and 8.7, 4 and 5.6, 5 and 4.3, and 6 and 0.5. Additional points are located at 5.9 and 1.5, 5.5 and 3.5. Scatter plot D is shown with data points that move in a downward direction and are located at 0 and 7, 1 and 6, 2, and 5, 3 and 4, 4 and 3, 5 and 4, 6, and 5.
Which graph represents a negative linear association between x and y?
Graph A
Graph B
Graph C
Graph D
Answer:
graph D
Step-by-step explanation:
because d it at 0 then moves
Answer:
a
Step-by-step explanation:
Does the point (7, 2) satisfy the equation y = x - 5? yes no
Yes
Replace x in the equation with the x in the solution and see if t equals the y in the solution:
Y = 7-5 = 2
The answer is yes.
c) What should be subtracted from 5m - 3n to get 2m + 5n?
What she hechosomoce 2-59
Answer:
3m-8n
Step-by-step explanation:
Set up an equation:
(5m-3n)-(2m+5n) = ?
Solve:
5m-3n
- 2m+5n
3m-8n
Hope this helps!
CAN SOMEBODY PLEASE HELP MEEEE
Answer:
105.
Step-by-step explanation:
.
3x + y = 10 x - y = 2 2
Given the triangle below, what is mA, rounded to the nearest tenth?
Answer:
A. 24.2°
Step-by-step explanation:
I'm correct if I'm rwong
Directions: Given the point and slope, write the equation of the line.
(4, 2); slope = 36
Answer:
y - 2 = 36(x - 4)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = 36 and (a, b ) = (4, 2 ) , then
y - 2 = 36(x - 4) ← equation of line
[tex]solve : - \\ \\ factorise \: (x {}^{2} + 30x + 216) \\ \\ please \: help \: [/tex]
Answer:
[tex](x+12)(x+18)[/tex]
Step-by-step explanation:
[tex] {x}^{2} +30x+216[/tex]
[tex](x+12)(x+18)[/tex]
Hope it is helpful....x²+30x+216
on factorizing we get
(x+12)(x+18)
Therefore, x= -12 or -18
Question 2: use the image and your knowledge of the isosceles triangle to find the value of x
Answer:
x is 66 degrees
Step-by-step explanation:
since its a isosceles, two of the angles should be the same.
Pls help before the clock hits 50 :(
Use the following graph of the function f(x) = 3x4 − x3 + 3x2 + x − 3 to answer this question: What is the average rate of change from x = -1 to x = 0
Answer:
-6
Step-by-step explanation:
hhhhhhhhhheeeeeeeeeeeeeeeeellllllllllllllllllllllppppppppppppp
Answer:
40°
Step-by-step explanation:
As sum of angles of the triangle is 180°
therefore the third angle will be 180 -( 75 + 65)=40°
x=40°= vertically opposite angle
Answer:
x = 40°
Step-by-step explanation:
a + 65 + 75 = 180 {Angle sum property}
a + 140 = 180
a = 180 - 140
a = 40
x = a {Vertically opposite angles}
x = 40°
Evaluate i^15 i^12
Show work
Answer: 15 = -i & 12=1
use the pattern : i, -1, -i, 1
Step-by-step explanation:
i = [tex]\sqrt{-1}[/tex]
[tex]i^{2}[/tex] = [tex]\sqrt{-1}[/tex]
[tex]i^{3}[/tex] = [tex]\sqrt{-1}[/tex]
[tex]i^{4}[/tex] = [tex]\sqrt{-1}[/tex]
the pattern just repeats from here
5 = i
6 = -1
7 = -i
8 = 1
9 = i
10 = -1
11 = -i
12 = 1
13 = i
14 = -1
15 = -i
16 = 1
A 0.25 mL sample of water drawn from a 5 liter flask contains 1.25 x 10^8 bacteria. Give the approximate number of bacteria in the flask, expressing your answer in scientific notation.
(Scientific Notation: find a real number a between 1 and 10, and an integer n, such that x = a x 10^n.)
Answer:
The number of bacteria in 0.25 mL is 6.25 x 10^3.
Step-by-step explanation:
5 liter flask contains 1.25 x 10^8 bacteria.
So, 1liter flask contains = [tex]\frac{1.25 \times 10^8}{5} =2.5\times 10^7[/tex]
Now
0.25 mL contains = [tex]2.5\times 10^7 \times0.25\times 10^{-3} = 6.25\times 10^3[/tex]
