Answer: 118°
Step-by-step explanation:
(17)^ 3 *(289)^ -6 =(17)^ 2m - 1
Answer:
m = -4
Step-by-step explanation:
The given expression is :
[tex](17)^{3}\cdot(289)^{-6}=(17)^{2m-1}[/tex]
We need to find the value of m
We know that, 17² = 289
So,
[tex](17)^{3}\cdot(17^2)^{-6}=(17)^{2m-1}\\\\(17)^{3}\cdot(17)^{-12}=(17)^{2m-1}[/tex]
Also,[tex]x^ax^b=x^{a+b}[/tex]
So,
[tex]17^{3-12}=17^{2m-1}\\\\17^{-9}=17^{2m-1}\\\\\implies -9=2m-1\\\\-9+1=2m\\\\-8=2m\\\\m=-4[/tex]
So, the value of m is equal to -4.
Evaluate the expression. ab if a = 6 and b = 7
PLEASE HELP I DONT WANT TO FAIL SUMMER SCHOOL
Answer:
[tex] {a}^{b} [/tex]
[tex] {6}^{7} [/tex]
[tex]6 \times 6 \times 6 \times 6 \times 6 \times 6 \times 6[/tex]
[tex]279936[/tex]
hope this will help you more
What should you substitute for x in the bottom equation to solve the system by the substitution method?
A. x=2y-8
B. x=-2y-8
C. x=-2y+8
D. x=2y+8
Which number is an integer?
A) -9,248.3
B) 35,749.087
C)10,839
D -16/17
Answer:
C) 10839
Step-by-step explanation:
.For example, 21, 4, 0, and −2048 are integers, while 9.75, 512, and √2 are not.
Out of the 30 days in June, you run 13 days and swim 6 days. You lift weights 7 days
and ride a bike 4 days. If you make a pie chart to show this data, how many degrees
of the circle should represent swimming?
9514 1404 393
Answer:
72°
Step-by-step explanation:
In a properly constructed pie chart, the proportion of the circle devoted to each section is the same as the proportion of that section to the the whole.
(6 swim days)/(30 days) = (swim pie angle)/(360°)
Multiply by 360° to find ...
swim pie angle = (360°)(6/30) = 72°
72° of the circle should represent swimming.
Which numbers are solutions to the inequality X > 14- 5? Check all that apply.
fractions larger than
14.
decimals larger than 14
145
whole numbers larger than 14
the number 14
fractions smaller than 14
2
Answer:
fractions larger than 14 and one-half
decimals larger than 14 and one-half
whole numbers larger than 14 and one-half
Step-by-step explanation:
Which numbers are solutions to the inequality x greater-than 14 and one-half? Check all that apply.
Given that the inequality is represented by [tex]x>14\frac{1}{2}[/tex], i.e. x > 14.5
This inequality represent all the set of real numbers which are greater than 14.5. Whereas numbers including 14.5 and below are not involved. Hence the numbers that are a solution to this inequality are:
fractions larger than 14 and one-half
decimals larger than 14 and one-half
whole numbers larger than 14 and one-half
Find the area of the triangle
Solve the equation and enter the value of x below. -1(4 + x) = 6
-1 (4 + x) = 6
=> 4 + x = 6/-1
=> 4 + x = -6
=> x = -6 -4
=> x = -10
What is the range of the following function ?
Answer:
All real numbers
Step-by-step explanation:
The range is whatever the output can be. In this case, the output is y. Because the line is going through all numbers vertically, and arrows are going up and down, we can say that the line is going through all y values. Therefore, the range is all real numbers
Easy Question Will give brainliest to correct answer!!!!!
How many months have 28 days?
Answer:
1
Step-by-step explanation:
February is the only month that has 28 days
Answer:
[tex]12 \: months \: have \: 28 \: days \\ thank \: you[/tex]
Write the equation of the line perpendicular to 7y - 35x = 21 that passes through the point (10,-8).
Answer:
y = -1/5x - 6
Step-by-step explanation:
7y - 35x = 21 7y = 35x + 21 y = 5x + 3
y = -1/5x + b
-8 = -1/5(10) + b
-8 = -2 + b
-6 = b
HELP! Use the elimination method to solve the system of equations.
A. (0,8)
B. (-4,0)
C. (-2,4)
D. (0,3)
Answer:
B, (-4,0)
Step-by-step explanation:
2(4x - 2y = -16) 8x - 4y = -32
8x - 4y = -32
+ -3x + 4y = 12
5x = -20
x = -4
4(-4) - 2y = -16
-16 - 2y = -16
-2y = 0
y = 0
Solve the equation and enter the value of x below. 4(x + 1) = 64
Answer:
15
Step-by-step explanation:
Use the distributive property
4x+4=64, then subtract
4x=60, then divide
x=15
[tex] \huge\boxed{\mathfrak{Answer}}[/tex]
[tex]4(x + 1) = 64 \\ 4x + 4 = 64 \\ 4x = 64 - 4 \\ 4x = 60 \\ x = \frac{60}{4} \\ x = 15[/tex]
=> The answer is 15.
A committee that consists of five members are to be chosen from 6 boys and 5 girls. Find the number of different committees that can be formed if the number of boys is more than the number of girls
Answer:
281 different committees can be formed if the number of boys is more than the number of girls.
Step-by-step explanation:
The order in which the people are chosen to the committee is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Number of boys more than the number of girls:
3, 4 or 5 boys.
3 boys:
3 boys from a set of 6.
2 girls from a set of 5. So
[tex]C_{6,3}C_{5,2} = \frac{6!}{3!3!} \times \frac{5!}{2!3!} = 200[/tex]
4 boys:
4 boys from a set of 6.
1 girl from a set of 5. So
[tex]C_{6,4}C_{5,1} = \frac{6!}{4!2!} \times \frac{5!}{1!4!} = 75[/tex]
5 boys:
5 boys from a set of 6. So
[tex]C_{6,5} = \frac{6!}{5!1!} = 6[/tex]
Total:
200 + 75 + 6 = 281
281 different committees can be formed if the number of boys is more than the number of girls.
Robert took 8 minutes to complete his 12 worksheets. What is his unit rate of completing worksheets
Answer: 40 seconds per worksheet
Step-by-step explanation:
From the information given in the question, we are informed that Robert took 8 minutes to complete his 12 worksheets.
Based on this, his unit rate of completing worksheets will be given as:
= 8 minutes / 12
= 480 seconds / 12
= 40 seconds per worksheet
Note 1 minute = 60 seconds
8 minutes = 8 × 60 = 480 seconds
Solve the inequality:
[tex]4x+3\ \textgreater \ 19[/tex]
Answer:
x > 4
Step-by-step explanation:
4x + 3 > 19
4x + 3 - 3 > 19 - 3
4x > 16
4x/4 > 16/4
x > 4
Hope this helps.
[tex]4x + 3 > 19 \\ = > 4x > 19 - 3 \\ = > 4x > 16 \\ = > x > \frac{16}{4} \\ = > x > 4[/tex]
Answer:
x > 4
Hope you could understand.
If you have any query, feel free to ask.
Which of the following equations represents a line that is parallel to y = -4x-1
and passes through the point, (2, 2)?
O A. y = -4x+10
O B. y = 1/4x+2
O C. y = -4x + 4
O D. y = -4x - 6
Answer:
A
Step-by-step explanation:
Parallel lines have the same gradient
For line y=-4x-1, the gradient is -4 and so that of this new line will also be -4
Now,
y-y1=m(x-x1)
y-2=-4(x-2)
y-2=-4x+8
y=-4x+8+2
y=-4x+10
Tell whether the angles are adjacent or vertical. Then find the value of x.
The angles are angles
The value of x is
Answer:
If two angles have common side and they shares common vertex, they are called adjacent angles.
When two lines crosses each other, the opposite angles are called vertical angles as they share same vertex.
Two angles shown in diagram are adjacent as they are on common side.
Both the angles are on a straight line, hence
Subtracting 109 from both sides
Both angles shown in diagram are opposite to each other, hence vertical angles.
As they are opposite to each other, they both are equal.
Subtracting x from both sides
Subtracting 1 from both sides
Both angles are having a common side means they are adjacent angles.
As they are on straight line, both angles will add up to 180 °.
Subtracting 96 from both sides
Dividing from 6 in both sides
Hope it will help :)
solve the following simultaneous linear equations by the elimination method.
2p - 3q = 13
p - 3q = 2
Answer:
p = 11 q = 3
Step-by-step explanation:
2p - 3q = 13
- p - 3q = 2
p = 11
p - 3q = 2
(11) - 3q = 2
-3q = -9
q = 3
Answer:
p=11 q=3
Step-by-step explanation:
subtract second from first
2p-3q=13
-p+3q=-2
p=11
plug in
11-3q=2
-3q=-9
q=3
Multiple choice question
Answer:
A. 35 square centimeters
Step-by-step explanation:
The area of a triangle is (b*h)/2.
7 * 10 = 70
70/2 = 35
Where do i move the graph (new points)?
Answer:
l
Step-by-step explanation:
Find the prime factorization on 168
Answer:
The prime factors of 168 are 2, 3, and 7.
Step-by-step explanation:
What is the rule for the following geometric sequence? 64,128,256,512...
a) a_(n) = 64(-2)^n-1
b) a_(n) = 64(2)^n-1
c) a_(n) = 64(1/2)^n-1
d) a_(n) = 64(-1/2)^n-1
Answer:
B
Step-by-step explanation:
The explicit rule for a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 64 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{128}{64}[/tex] = 2 , then
[tex]a_{n}[/tex] = 64 [tex](2)^{n-1}[/tex] → B
Answer:
b).
[tex]{ \tt{a _{n} = a( {r}^{n - 1} )}} \\ { \tt{a _{n} = 64( {2}^{n - 1}) }}[/tex]
how do you find the arc length of a semi-circle?
the arc length is calculated by the formula [tex]\displaystyle\bf C=\frac{2\pi r}{360} \cdot\alpha[/tex] then [tex]\displaystyle\bf C=\frac{2\cdot 8 \pi }{360} \cdot180=8\pi=3,14\cdot8=25.12[/tex] or it can be calculated using the circumference of the circle since we have a semicircle the circumference 2πr must be divided by 2 С=2πr:2=πr =8π=25,12
what is the function rule for the line?
Hello!
What is the function rule the line?
f(x) = 2/3x - 2
Good luck! :)
What is the equation of the following line written in general form?
Answer:
The first option
Step-by-step explanation:
[tex]4x + 5y - 34 = 0[/tex]
álgebra 1solve 4( -15x - 2) + 8
Answer:
-60x
Step-by-step explanation:
We simply open up the bracket and collect similar terms
So we have;
4(-15x-2) + 8 as:
4(-15x) -2(4) + 8
-60x -8 + 8
= -60x
Answer: 60x
Step-by-step explanation: -60x-8+8=-60x
A video store charges $12 for used games and $25 for new games. Jonathan has saved $300 to spend on video games.
x = number of used games
y = number of new games
Which linear equation, written in standard form, expresses the scenario?
Answer:[tex]12x+25y=300[/tex]
Step-by-step explanation:
Answer:
12x + 25y = 300
Step-by-step explanation:
AE = x=4.875, and EC = 13-4.875 = 8.125.
If I place point E at a distance of 4.875 units from A on AC-that is, E15.875, 1)-then the ratio of the segments into which e divides AC is equal to
the ratio of AD to DB.
Question 3
Place point that you found in Question 2 on AC. Draw a line passing through D and E, and measure and record the slopes of DE and BC.
Answer:
This is the answer for both Edmentum and Plato!
Step-by-step explanation:
Hope it helped
This is my last question, I hope to get the right answer
pls and ty :>
Answer:
Options A , D , E
Step-by-step explanation:
Triangle has angles 27° and 45°
The third angle = 180 - 27 - 45 = 108°
Therefore, the angles of ABC are 27° , 45° , 108°
=> ABC is Scalene triangle .
Option A :
Triangle DEF :
3x + 5x + 12x = 180°
20x = 180°
x = 9
Therefore , the angles of DEF = 27° , 45° , 108°
Satisfies
Option B:
Triangle GHI is Isosceles triangle with one angle 108°
But ABC is scalene , therefore not similar.
Does not satisfy.
Option C :
Triangle JKL with one of the angle = 72°
But none of the angles of ABC is equal to 72° .
Therefore, not similar.
Does not satisfy.
Option D :
Triangle MNO have angles 45° and 108°.
Sum of angles of triangles = 180°
So the third angle of MNO = 27°
Therefore , MNO is similar to ABC.
Satisfy.
Option E:
Angles of triangle PQR are 45° , x° , 4x°
Lets find all the angles .
45 + x + 4x = 180°
5x = 180 - 45
5x = 135
x = 27
Therefore, the angles of PQR = 45° , 27° , 108°
Hence similar to triangle ABC.
Satisfy
Option F :
Angles of triangle STU (5x + 3)°, (9x)° , (21x + 2)°
Sum of the angles => 5x + 3 + 9x + 21x + 3 = 180°
=> 35x = 180 - 5
=> 35x = 175
=> x = 5
Therefore, the angles are
5x + 3 = 5( 5) + 3 = 25 + 3 = 28°
9x = 9 ( 5 ) = 45°
21x + 2 = 21(5) + 2 = 105 + 2 = 107°
The angles are not congruent to the angles of Triangle ABC
does not satisfy.
