Answer:
MP ⊥ LO ⇒ proved
Step-by-step explanation:
In the given figure
∵ m∠LPM = m∠MNO ⇒ given
∵ m∠MNO = m∠MPO ⇒ given
→ If the measure of an angle equals the measures of another two
angles, then the two angles must be equal in measures
∴ m∠LPM = m∠MPO ⇒ proved
∵ P ∈ line LO
∵ ∠ LPM and ∠MPO are adjacent angles
∴ ∠LPM and ∠MPO formed a pair of linear angles
→ The measure of the linear pair angles is 180°
∴ m∠LPM + m∠MPO = 180°
∵ m∠LPM = m∠MPO
→ That means the measure of each one is 180° divided by 2
∴ m∠LPM = m∠MPO = 180° ÷ 2
∴ m∠LPM = m∠MPO = 90°
∵ MP intersect LO at P and formed right angles at P
→ That means MP is perpendicular to LO
∴ MP ⊥ LO ⇒ proved
`. Select all the pairs of equivalent expressions.
a. (43)3 and 43 ⋅ 43
b. (34)4 and 38 ⋅ 38
c. 64 ⋅ 34 and 188
d. 43 ⋅ 53 and 203
e. (43)3 and 43 ⋅ 43 ⋅ 43
2. Choose an equivalent expression for 123 • 129 • 124 • 122.
a. 12^4
b. 12^18
c. 12^35
d. 12^216
3. Choose an equivalent expression for 106 ÷ 104.
a. 10^2
b. 10^3
c. 10^10
d. 10^24
4. Select all the expressions that are equivalent to 78 • 7.
a. 73 • 73
b. 7^18/7^9
c. (73)3
d. 74 + 75
e. 74 • 75
5. Is this equation correct?
63 ⋅ 73 = 423
A. Yes; 63 • 73 is equal to (6 • 7)3 or 423.
B. Yes; 63 • 73 is equal to (6 • 7 • 3) or (42 • 3).
C. No; 63 • 73 is equal to (6 • 7 • 3) or (42 • 3).
D. No; 63 • 73 is equal to (6 • 7)3 + 3 or 426.
This question was not properly written
Complete Question
Select all the pairs of equivalent expressions.
a. (4³)³ and 4³ ⋅ 4³
b. (3⁴)⁴ and 3⁸ ⋅ 3⁸
c. 6⁴ ⋅ 3⁴ and 18⁸
d. 4³ ⋅ 5³and 20³
e. (4³)³ and 4³ ⋅ 4³ ⋅ 4³
2. Choose an equivalent expression for 12³ • 12⁹• 12⁴ • 12².
a. 12^4
b. 12^18
c. 12^35
d. 12^216
3. Choose an equivalent expression for 10⁶ ÷ 10⁴.
a. 10^2
b. 10^3
c. 10^10
d. 10^24
4. Select all the expressions that are equivalent to 7⁸ • 7.
a. 7³• 7³
b. 7^18/7^9
c. (7³)³
d. 7⁴ + 7⁵
e. 7⁴ • 7⁵
5. Is this equation correct?
6³⋅ 7³= 42³
A. Yes; 6³• 7³ is equal to (6 • 7)³ or 42³.
B. Yes; 6³ • 7³is equal to (6 • 7 • 3) or (42 • 3).
C. No; 6³ • 7³ is equal to (6 • 7 • 3) or (42 • 3).
D. No; 6³ • 7³ is equal to (6 • 7)³+ 3 or 42⁶.
Answer:
1 The correct answer is
d. 4³ ⋅ 5³ and 20³
e. (4³)³ and 4³ ⋅ 4³ ⋅ 4³
2b. 12^18
3 a = 10²
4a. 7³ • 7³
c. (7³)³
e. 7⁴ • 7⁵
5 A. Yes; 6³• 7³ is equal to (6 • 7)³ or 42³.
Step-by-step explanation:
1) Select all the pairs of equivalent expressions.
These are the correct options
d. 4³ ⋅ 5³and 20³
4³ × 5³ = 8000
20³ = 8000
e. (43)3 and 43 ⋅ 43 ⋅ 43
2. Choose an equivalent expression for 12³ • 12⁹• 12⁴• 12².
For an Algebraic Expressions,
We have the rule
x^a × x^b = x ^a+ b
Hence: 12³ • 12⁹• 12⁴ • 12².
= 12^3+9+4+2 = 12^18
Hence, b. 12^18
3. Choose an equivalent expression for
10⁶ ÷ 10⁴.
For an Algebraic expressions
x^a ÷ x^b = x ^a - b
Therefore
10⁶÷ 10⁴ = 10²
a. 10^2 Is the correct option
4. Select all the expressions that are equivalent to 7⁸ • 7.
7⁸ . 7= 7^8+1
= 7^9 or 7⁹
The equivalent expressions are:
a. 7³ • 7³ = 7⁹
b. 7^18/7^9 = 7⁹
c. (7³)³ = 7⁹
e. 7⁴ • 7⁵ = 7⁹
5. Is this equation correct?
6³ ⋅ 7³ = 42³
A. Yes; 6³• 7³ is equal to (6 • 7)³ or 42³
Raj correctly determined that ray LH is the bisector of AngleGLI.
A line contains points K, L, M. 4 lines extend from point L. One line extends to point F, another to G, another to H, and another to I.
Which information could he have used to determine this?
AngleGLH Is-congruent-to AngleILM
mAngleKLM = 5mAngleILM
mAngleGLI = 2mAngleGLH
mAngleGLI = mAngleGLH + mAngleHLI
\
Answer:
C.) mAngleGLI = 2mAngleGLH
Step-by-step explanation:
Find the equation of the line that passes through (3,1) and is parallel to y=3−2x. Leave your answer in the form y=mx+c
How do I find the equation of the line y=mx + C, passing through the points M (-2, -3) and T (3, 7)?
How do I find the equation of the line y=mx + C, passing through the points M (-2, -3) and T (3, 7)?
A2A
y = mx + C is often called slope-intercept form.
There are two pieces of information you will need to solve for. #1: The slope, which is m, and #2: the y-intercept, which is C (incidentally I learned this as y = mx + b, instead of y = mx + C, but that is a trivial detail)
Step #1 Find the slope. use the formula slope = (y₂ - y₁)/(x₂ - x₁) => (7 - -3)/3 - -2) = 10/5 = 2. m=2
Step #2 Find the y-intercept. Solve for y = mx + C when x is 2 and x = -2 and y = -3 -3 = 2(-2) + C => -3 = -4 + C add 4 to both sides, 1 = C
Equation: y = 2x + 1.
Check: x = 3 => y = 2(3) + 1 => y = 6 + 1 => y = 7 => (3, 7)
Check: x = -2 => y = 2(-2) + 1 => y = -4 + 1 => y = -3 => (-2, -3)
Which statement about the ordered pairs (−9, 3) and (2, −4) is true for the equation 6x−y2=14?
(2, −4) is a solution to the equation.
Both ordered pairs are solutions.
(−9, 3) is a solution to the equation.
Neither ordered pair is a solution.
A city has a population of 2,549,786 people. Estimate this population to the nearest million. Express your answer as the product of a single digit and a power of 10. Rounded to the nearest million, the population is about? Written as the product of a single digit and a power of ten, this number is blank X 10 to the power of what?
Solution,
The population of a city is 2,549,786.
We can convert it into nearest million as follows :
Million = 10 lakhs
Rounding off to the nearest million
2,549,786 = 3,000,000
There are 6 zeroes after 3. We can express as the product of a single digit and a power of 10 as follows :
[tex]3,000,000=3\times 10^6[/tex]
Hence, the population of the city is 2,549,786 or [tex]3\times 10^6[/tex].
PLEASE HELP PLEASE HELP IM GIVING BRAINLIEST AND 30 POINTS FOR ANYONE THAT ANSWERS IN 5 MIN
Answer:
[tex]\sf \dfrac{27}{512}[/tex]
step:
[tex]\hookrightarrow \sf (\dfrac{3}{8} )^3[/tex]
rewrite:
[tex]\hookrightarrow \sf (\dfrac{3}{8} )(\dfrac{3}{8} )(\dfrac{3}{8} )[/tex]
remove parenthesis
[tex]\hookrightarrow \sf(\dfrac{9}{64} )(\dfrac{3}{8} )[/tex]
final answer
[tex]\hookrightarrow \sf \dfrac{27}{512}[/tex]
Students are playing a game. In the game, students collect and trade building materials. Materials of equal value used for trading are shown in the table. Materials of Equal Value for Trading 1 stone = 4 logs 1 brick = 10 logs 2 logs = 150 nails Part A: How many stones are needed to trade for 10 bricks?
Answer:25
Step-by-step explanation:
Which of the following shows the true solution to the logarithmic equation below? log (x) log (x 5) = log (6 x 12) x = negative 3 x = 4 x = negative 3 and x = 4 x = negative 3 and x = negative 4
The true solution to the logarithmic equation log(x)+log(x+5)=log(6x+12) is 4 option second is correct.
It is given the logarithmic equation [tex]\rm logx+log(x+5)=log(6x+12)[/tex].
It is required to find the true solution to the above logarithmic equation.
What is Logarithm?It is another way to represent the power of numbers and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.
[tex]\rm a^b=c\\[/tex]
[tex]\rm log_ac=b[/tex]
We have:
[tex]\rm logx+log(x+5)=log(6x+12)[/tex]
By using log property:
[tex]\rm logx + logy= log(xy)[/tex]
[tex]\rm log((x)(x+5))=log(6x+12)[/tex]
Taking [tex]\rm log_1_0[/tex] base and removing the log from the sides we get:
[tex]\rm x(x+5)= 6x+12\\\\\rm x^2+5x=6x+12\\\\\rm x^2-x-12=0[/tex]
It is quadratic equation solving by factorization method:
[tex]\rm x^2-x-12=0\\\\\rm x^2+3x-4x-12=0\\\\\rm x(x+3)-4(x+3)=0\\\\\rm (x+3)(x-4)=0\\\\\rm x+3=0 \ or \ x-4=0\\\\ \rm x=-3 \ or \ x=4\\\\[/tex]
A negative Logarithm value does not exist.
Hence, the true solution to the logarithmic equation log(x)+log(x+5)=log(6x+12) is x = 4
Learn more about the logarithm here:
https://brainly.com/question/163125
Multiply –2(x + 6)(3x – 5). Choose the simplified expression.
Answer:
−6x^2 −26x +60
Step-by-step explanation:
Simplify the equation.
Kelly is 4 feet , 3 inches tall. How many inches tall is Kelly ?
Answer:
51 inches
Step-by-step explanation:
1 foot = 12 inchesConvert the feet given to inches: 4 × 12 = 4848 + 3 = 51I hope this helps!
51 inches tall is Kelly .
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
Here, we have,
Kelly is 4 feet , 3 inches tall.
We know that,
1 foot = 12 inches
Convert the feet given to inches: 4 × 12 = 48
48 + 3 = 51 inch.
Hence, 51 inches tall is Kelly .
To learn more on multiplication click:
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$74 dollars for 6 hours. what is hourly payrate of dollars per hour
Answer:
$12.33
Step-by-step explanation:
74/6 = 12.33
Answer:
12.3
Step-by-step explanation:
I hope this is right!
PLEASE HELP URGENT!!!!
Write the equation for a cubic function that has been reflected over the x-axis and shifted left 3 units.
Write the equation for a square root function that has been stretched by a factor of 2 and shifted 1 unit up.
Answer:
give me a sec........I need to analyze somethings
The equation for the first and second model will be y = - (x + 3)³ and y = 2(√x) + 1, respectively.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The equation for a cubic function that has been reflected over the x-axis and shifted left 3 units. Then add 3 in the function and multiply the function by negative 1.
y = - (x + 3)³
The equation for a square root function has been stretched by a factor of 2 and shifted 1 unit up. Then multiply the function by 2 and add 1 to the function.
y = 2(√x) + 1
More about the function link is given below.
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Quadrilateral MNOP with verticles M(3,-1), N(8,-4), (6,-6), and P(1,-7); is rotated 180 degrees. What are the new points?
Answer:
The new points after a rotation of 180 degrees is;
M’ = (-3, 1)
N’ = (-8,4)
O’ = (-6,6)
P’ = (-1 , 7)
Step-by-step explanation:
Given a point (x , y) and we rotate by 180 degrees , the new point will be (-x , -y)
So to the question;
M’ = (-3, 1)
N’ = (-8,4)
O’ = (-6,6)
P’ = (-1 , 7)
Need help with the math question?
Answer: try to find the triangle and then mesure it
Step-by-step explanation:
Suppose a certain traffic light shows a red light for 50 seconds, a green light for 50 seconds, and a yellow light for 5 seconds. If you look at this light at some randomly selected instant, what is the probability you will see a yellow or green light?
Answer:
[tex]P(Yellow\ or\ Green) = 0.524[/tex]
Step-by-step explanation:
Given
[tex]Yellow = 5\ seconds[/tex]
[tex]Green = 50\ seconds[/tex]
[tex]Red = 50\ seconds[/tex]
Required
Determine the probability of Green or Yellow
First, we need to determine the total time
[tex]Total = 50 + 50 + 5[/tex]
[tex]Total = 105\ seconds[/tex]
Next, is to determine the required probability
This is calculated as follows:
[tex]P(Yellow\ or\ Green) = P(Yellow) + P(Green)[/tex]
[tex]P(Yellow\ or\ Green) = \frac{n(Yellow)}{Total} + \frac{n(Green)}{Total}[/tex]
[tex]P(Yellow\ or\ Green) = \frac{5}{105} + \frac{50}{105}[/tex]
[tex]P(Yellow\ or\ Green) = \frac{5 + 50}{105}[/tex]
[tex]P(Yellow\ or\ Green) = \frac{55}{105}[/tex]
[tex]P(Yellow\ or\ Green) = 0.52380952381[/tex]
[tex]P(Yellow\ or\ Green) = 0.524[/tex] -- Approximated
ASAP! I need help with this equation!
Answer:
y = 163°
Step-by-step explanation:
the angle with value 163° is actually an opposite angle of the angle y
Answer:
the angle is 163
Linda's recipe makes 20 chocolate candies.
She uses:
1 cup cream
3 cups dark chocolate
Using Linda's recipe:
2. How much dark chocolate will you need to make 60 candies? Write proportion and solve.
9514 1404 393
Answer:
9 cups
Step-by-step explanation:
If x represents the number of cups of dark chocolate needed for 60 candies, the proportion can be ...
cups/candies = 3/20 = x/60
Multiplying by 60 gives ...
x = 60(3/20) = 9
You need 9 cups of chocolate for 60 candies.
A triangle has two sides of length 6 and 12. What is the smallest possible whole-number length for the third side?
Heidi is riding her bike to visit a friend in another town. Her speed is inversely related to her travel time. If she is Charlie at 15 mph it will take her for hours to reach her destination. How long will it take her if she travels at 12 mph?
Step-by-step explanation:
I am not sure I understand the question with all the typos and potentially missing parts.
as I understand it, it will take her 4 hours to reach her destination when going 15 mph.
and the question is how long the trip will take, if she travels at 12 mph.
4 h × 15 m/h = 4 × 15 m = 60 miles
that is the distance of her trip.
when going slower, the distance is of course still the same, only the needed time changes :
x h × 12 m/h = 60 m
x × 12 m = 60 m
x = 60/12 = 5 hours
the trip would take her 5 hours to complete (instead of 4).
Given sec A = - squareroot 85/6 and that angle A is in Quadrant II, find the exact value of
cot A in simplest radical form using a rational denominator.
Answer: -6/7
Step-by-step explanation:
Which of the following shows the true solution to the logarithmic equation solved below? log subscript 2 baseline (x) = log subscript 2 baseline (x 7) = 3. log subscript 2 baseline left-bracket x (x 7) right-bracket = 3. x (x 7) = 2 cubed. x squared 7 x minus 8 = 0. (x 8) (x 1) = 0. x = negative 8, 1 x = negative 8 x = 1 x = 1 and x = negative 8 x = 1 and x = 8
The value which shows the true solution to the logarithmic equation solved below is 1.
What is domain and range of function?Domain of a function is the set of all the possible input values which are valid for that function.
Range of a function is the set of all the possible output values which are valid for that function.
The given logarithmic equation is,
[tex]\log_2x+\log_2(x+7)=3[/tex]
Use the addition property of log in above expression.
[tex]\log_2[x\times(x+7)]=3[/tex]
Use the power rule property of log in above expression.
[tex][x\times(x+7)]=2^3\\x\times(x+7)=8\\x^2+7x-8=0[/tex]
Solve the quadratic equation with the help of split the middle term method,
[tex]x^2+8x-1x-8=0\\x(x+8)-1(x+8)=0\\(x+8)(x-1)=0\\x=-8,1[/tex]
Here, the two values of variable we get. One is positive and another is negative. As the logarithmic function is defined only for positive real number as its input.
Thus, the value which shows the true solution to the logarithmic equation solved above is 1.
Learn more about the domain and range of the function here;
https://brainly.com/question/2264373
Answer:
1
Step-by-step explanation:
edge 2022
.please help
Janelle wants to buy a shirt for a friend. Her choices of material are polyester and cotton. Shirts are available in yellow, orange, and blue. Make an organized list showing the different choices Janelle has.
polyester, orange
polyester, blue
polyester, yellow
cotton, orange
cotton, blue
polyester, orange
polyester, blue
polyester, yellow
polyester
polyester
polyester
cotton
cotton
cotton
polyester, orange
polyester, blue
polyester, yellow
cotton, orange
cotton, blue
cotton, yellow
Answer:
polyester, orange
polyester, blue
polyester, yellow
cotton, orange
cotton, blue
cotton, yellow
Step-by-step explanation:
ANYONE SMART AT MATH NEED HELP ON THIS
A bag of marbles contains 6 blue marbles and 1 green marble. Mary and Frank will draw a blue marble followed by a green marble, without replacing the first marble. Mary says the probability will be 6/49, and Frank says that the probability will be 1/7. Who is correct? Explain and justify your answer by showing work.
---------------Is correct because___
Answer:
Frank is correct.
Step-by-step explanation:
Frank is correct because the bag does not have 49 marbles but it does have 7 total.
You can double check this: 6 + 1 =7. 7 marbles total so frank is correct!
Have an amazing day!!!
PLEASE RATE!!
Find the solutions to (x + 4)2 = 25.
Check all that apply.
Answer:
x= 17/2 is the correct answer
Please help!
See the image below:
Answer:
I didn't understand the questionA football coach is planning on purchasing training videos
for each player who misses his summer camp. He randomly asks 15 players, and 4 of them say they will miss the camp. How many players out of 75 can the coach expect to miss the summer camp?
how to find y and x intercept
So, when you look at a graph. Where the line passes over the X-Axis, that is the X intercept. Where the line passes over the Y-Axis, that is the y intercept.
5. If the number of employees is represented by x, which function represents the
amount each received?
a. f(x) = 65000x
b. f(x) = x + 65000
c. f(x)
d. f(x) = x - 65000
65000
Consider the missing lines of question are "Due to the Enhanced Community Quarantine, Grand Royal Spa temporarily stopped its operation and to help the employees, the owner decided to split evenly its total revenue of 65,000.00".
Given:
Total revenue = 65000
Number of employees = x
To find:
The function which represents the amount each received.
Solution:
We know that,
[tex]\text{Amount each received}=\dfrac{\text{Total revenue}}{\text{Number of employees}}[/tex]
Substitute the given values in the above formula.
[tex]\text{Amount each received}=\dfrac{65000}{x}[/tex]
So, the function which represents the amount each received is
[tex]f(x)=\dfrac{65000}{x}[/tex]
Therefore, the required function is [tex]f(x)=\dfrac{65000}{x}[/tex].
Note: Given options are not correct and option C is incomplete.
PLS HELP ME THIS ENDS TODAY I WILL MARK THE BRAINLIEST
Can someone pls help me
Answer: y=4.5, z=6.7, x=6
Step-by-step explanation:
Jason is having a pizza party for
his birthday. If he is having 20
friends over and they each eat 3/8
Of a pizza, how many pizzas should
he buy for the party?
Answer:
8 pizzas
Step-by-step explanation:
If each of the 20 people eats 3/8 of pizza, to calculate the total number of pizzas needed, multiply 20 by 3/8 and round up to the nearest whole number.
[tex]\sf total \ number \ of \ pizzas=20 \times\dfrac38[/tex]
[tex]=\dfrac{20 \times3}8[/tex]
[tex]=\dfrac{60}8[/tex]
[tex]=\dfrac{15}2[/tex]
[tex]=7.5[/tex]
Therefore, he should buy 8 pizzas for the party.