Answer:
x/2
Step-by-step explanation:
2/2=1=y
4/2=2=y
6/2=3=y
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:
What is the simplified form of the following expression? Assume x greater-than 0 RootIndex 4 StartRoot StartFraction 3 Over 2 x EndRoot EndFraction.
By simplifying we got that x greater-than 0 RootIndex 4 StartRoot StartFraction 3 Over 2 x EndRoot EndFraction. can be written as : [tex]2x^4-3 > 0[/tex]
What is root index ?In [tex]y=a^{1/n}[/tex] n is root index of a.
Here given equation
x greater-than RootIndex 4 StartRoot Start Fraction 3 Over 2 x EndRoot EndFraction.
It can be written as:
[tex]x > (\frac{3}{2} )^{1/4}\\\\x^4 > \frac{3}{2}\\ \\2x^4 > 3\\\\2x^4-3 > 0\\\\[/tex]
By simplifying we got that x greater-than 0 RootIndex 4 StartRoot StartFraction 3 Over 2 x EndRoot EndFraction. can be written as : [tex]2x^4-3 > 0[/tex]
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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)
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.
$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!
Tina is planning to fence in an area for her dog. She wants to create a rectangular area of 1,600 square feet for her pet and can afford to purchase 160 feet of fence. In two or more complete sentences, explain the algebraic model, calculations and reasoning necessary to determine the dimensions of the rectangular area.
The dimensions of the rectangular area of Tina's fence is 40 ft by 40 ft
Area of a rectangle:area = lwwhere
l = length
w = width
She wants to create a rectangular area of 1,600 square feet for her pet . Therefore,
area = 1600 ft²lw = 1600
Therefore,
perimeter = 160 ft
Then,
perimeter of rectangle = 2(l + w)
160 = 2(l + w)
l + w = 80
Let's combine the equations
lw = 1600
l + w = 80
l = 80 - w
Therefore,
w(80 - w) = 1600
80w - w² = 1600
Therefore,
w² - 80w + 1600 = 0
w² - 40w - 40w + 1600 = 0
w(w - 40) - 40(w - 40) = 0
(w - 40)(w - 40) = 0
w = 40 or 40
Therefore, the dimensions can be calculated as follows:
lw = 1600
40l = 1600
l = 1600 / 40
l = 40 ft
Therefore, the dimensions are 40ft by 40 ft
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Find the solutions to (x + 4)2 = 25.
Check all that apply.
Answer:
x= 17/2 is the correct answer
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:
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.
geometric mean between 2 and 2/9
Answer:
2/3.
Step-by-step explanation:
Geometric mean = √(2 * 2/9)
= √(4/9)
= 2/3.
The geometric mean between 2 and 2/9 is 2/3.
What is mean?We can define the mean of the given data set as the average of all the
numbers. Mathematically, we can write mean as -
M = ∑x{i}/n
Given is to find the geometric mean between 2 and 2/9.
The general formula used to calculate the geometric mean is -
[tex]$\left(\prod _{i=1}^{n}x_{i}\right)^{\frac {1}{n}}={\sqrt[{n}]{x_{1}x_{2}\cdots x_{n}}}[/tex]
We can write the geometric mean between 2 and 2/9 as -
GM = √(2 x 2/9)
GM = √(4/9)
GM = √4/√9
GM = 2/3
Therefore, the geometric mean between 2 and 2/9 is 2/3.
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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!!!
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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.
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
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:
`. 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
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;
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Answer:
1
Step-by-step explanation:
edge 2022
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:
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.
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 .
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169 as sum of odd numbers
Answer:
3 odd numbers can make 169, for an example,
33 + 63 + 73
If my answer helped, then kindly mark me as the brainliest!!
Thank You!!
Answer:
Step-by-step explanation:
Sum of first n odd numbers=n²
13²=169
Therefore sum of 13 odd numbers is 13²
1+3+5+7+9+11+13+15+17+19+21+23+25=169=13²
Multiply –2(x + 6)(3x – 5). Choose the simplified expression.
Answer:
−6x^2 −26x +60
Step-by-step explanation:
Simplify the equation.
Please help!
See the image below:
Answer:
I didn't understand the questionPLEASE 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]
The plane is equipped with an orthogonal frame (0, i, j).
Let (d) be the line with cartesian equation:
(d) : 2x-3y+1=0 and A(-4,3)
Find the coordinates of the orthogonal projection of A on the (d).
Answer:
what
Step-by-step explanation:
you know you should drink some water. 75% of americans are dehydrated and don't know it. being hydrated will fix your problems. because being dehydrated will make you not able to do simple math :)
help me please thank you
Answer:
Step-by-step explanation:
6) The diagonals of an isosceles trapezoid are congruent.
7) D) A diagonal of a kite bisects each of the non congruent angles and the other diagonal.
8) C) The diagonals of an isosceles trapezoid are congruent.
Hint:
Properties of isosceles trapezoid:
1. Only one pair of opposite sides are parallel.
2. The diagonals are congruent.
3. The base angles are congruent.
4. The opposite angles are supplementary.
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
Need help with the math question?
Answer: try to find the triangle and then mesure it
Step-by-step explanation:
Which expression is equivalent to 10x2 + (6x − 8x2) + 3 − (9x +4)?
You are missing expression..
But if you simplify you can find the answer (given below)
Answer:
[tex]2x^2-3x-1[/tex]
Step-by-step explanation:
[tex]10x^2+\left(6x-8x^2\right)+3-\left(9x+4\right)[/tex]
[tex]\mathrm{Apply\:rule}:\quad \:a+\left(b+c\right)=a+b+c[/tex]
[tex]10x^2+\left(6x-8x^2\right)=10x^2+6x-8x^2[/tex]
[tex]=10x^2+6x-8x^2+3-\left(9x+4\right)[/tex]
[tex]\mathrm{Group\:like\:terms}[/tex]
[tex]=-\left(9x+4\right)+10x^2-8x^2+6x+3[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:10x^2-8x^2=2x^2[/tex]
[tex]=-\left(9x+4\right)+2x^2+6x+3[/tex]
[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:-\left(a+b\right)=-a-b[/tex]
[tex]-\left(9x+4\right)=-9x-4[/tex]
[tex]=-9x-4+2x^2+6x+3[/tex]
[tex]\mathrm{Group\:like\:terms}[/tex]
[tex]=2x^2-9x+6x-4+3[/tex]
[tex]\mathrm{Add\:the\:numbers:}\:-4+3=-1[/tex]
[tex]=2x^2-9x+6x-1[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:-9x+6x=-3x[/tex]
[tex]=2x^2-3x-1[/tex]
Answer = [tex]2x^2-3x-1[/tex]
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A 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?
.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: