Given that x = 8, y = 2, and z = 3, the equation 2x = 3yz is false.
An expression is a number, variable or the combination of both put together by operation symbols while an equation is a statement that shows that two expressions are equal and is separated by an equal sign "=".
To check if the equation 2x = 3yz is true when x = 8, y = 2, and z = 3, plug in or substitute the value of each variable to the equation and evaluate.
2x = 3yz
2(8) = 3(2)(3)
16 ≠ 18
Since 16 is not equal to 18, the given values do not satisfy the equation, then the statement is not true.
Learn more about equations here: https://brainly.com/question/22688504
#SPJ4
50pts to whoever can solve this correctly
The expression for M from the given function is M = 4π²a²/T²G
Subject of formulaThe subject of a formula is the variable that is being worked out from a given equation.
Given the equation below;
T² = 4π²a²/GM
We are to make M the subject of the formula
T²GM = 4π²a²
Divide both sides by T²G
T²GM/T²G = 4π²a²/T²G
M = 4π²a²/T²G
Hence the expression for M from the given function is M = 4π²a²/T²G
Learn more on subject of formula here: https://brainly.com/question/657646
#SPJ1
Incredible Skating has a family special this weekend: You rent skates for $5
and pay $1 an hour for skating per person. Write an equation, where h
represents the number of hours and C represents the total cost.
Answer:
c=5+1h
Step-by-step explanation:
The equation for where h represents the number of hours and C represents the total cost is C = 5 + nh.
Given that the skates were rented for $5 and pay $1 an hour for skating per person.
We need to write an equation, where h represents the number of hours and C represents the total cost.
To calculate the total cost (C) for a family with h hours of skating, you would need to consider the cost of renting skates ($5) and the cost of skating per person per hour ($1 per person per hour).
Let n be the number of people in the family.
The equation for the total cost (C) can be expressed as follows:
C = 5 + nh
The $5 is added to the equation as a one-time cost for renting skates, which is the same for any number of people.
nh represents the cost for the number of people (n) skating for h hours, at the rate of $1 per person per hour.
The cost per person is multiplied by the number of hours they skate.
Hence the required equation is C = 5 + nh.
Learn more about Equations click;
https://brainly.com/question/29657983
#SPJ7
Eight times six divided by two minus nine numerical expressions
Answer:
15
Step-by-step explanation:
8 x 6 / 2 -9
48 / 2 - 9
24-9
15
John goes to the bank to get a $15,000 loan.The loan has a simple interest rate of 6% and is 4 years long.What is the TOTAL amount John has to pay?
The total amount John has to pay in repaying the loan and interest is $18,600
What makes up the total amount John has to pay?
The total amount that John has to pay comprises of the loan principal of $15,000 and the interest on the loan which is computed at the simple interest rate of 6% for the loan duration of 4 years
I=PRT
I=interest for 4 years=unknown
P=loan principal=$15,000
R=interest rate=6%
T=number of years of loan=4
I=$15,000*6%*4
I=$3,600
A=P+I
A=$15,000+$3,600
A=$18,600
Find out more about simple interest on:https://brainly.com/question/22325489
#SPJ1
2 2/3 divided by 3 2/3
Answer:
8/11
Step-by-step explanation:
[tex]2\frac{2}{3} = \frac{8}{3}\\3\frac{2}{3} = \frac{11}{3} \\= \frac{8}{3} \div \frac{11}{3}\\=\frac{8\times 3}{3 \times 11} = \frac{24}{33}\\\\LCM: 3\\\\\frac{24 \div 3}{33 \div 3}\\= \frac{8}{11}[/tex]
Guys i need help making this quadratic equation into a standard form HELP ME PLEASE, ^2 means Like 2 Square.
1.) 11x^2 - 98 = 11 + 9x
2.) (2x - 1)^2 = (x + 4) ^2
3.) 4x^2 + 2x - 9 = (x - 2)(x - 9)
4.) 0 = 6 (x + 7)^2 - 58
5.) - 1/2 ( x - 1/4 )^2 + 12 = 0
Answer:
1) 1x² - 9x - 109 = 0
2) 3x² -12x -15 = 0
3) 3x² + 13x - 27 = 0
4) 6x² + 84x + 236 = 0
5) -16x² + 8x + 383 = 0
Step-by-step explanation:
The standard form of the quadratic equation is ax² + bx + c where a, b and c are constants.
So we have to convert each of the equations into a form that resembles the above
(1) 11x² -98 = 11 + 9x
Simplify both sides of the equation.(2) (2x - 1)² = (x + 4) ²
Simplify both sides of the equation(3) 4x² + 2x − 9 = (x − 2)(x − 9)
Simplify (x−2)(x−9)(4) 0 = 6(x +7 )² - 58
Switch sides:(5) -1/2 ( x - 1/4 )² + 12 = 0
Calculate [tex]-\dfrac{1}{2} (x - \dfrac{1}{4})^2 = -\dfrac{1}{2} (x^2 - 2\(\dfrac{1}{4}x + \dfrac{1}{16})[/tex]Find the product of 3.2 x 1012 and 4.25 x 109. write the final answer in scientific notation. 1.36 x 1021 13.6 x 1021 1.36 x 1022 13.6 x 1022
The product of two given numbers in terms of scientific notations is 1.36 × 10^(22).
What are scientific notations?
Scientific notations are a way of representing either a very small or a very large number in the powers of 10. Scientific notations comprise digits from 1 to 9 with powers of 10.
Calculation of the product of two numbers
Given two numbers are 3.2 × 10^(12) and 4.25 × 10^(9)
Multiplying two numbers, we get
= 3.2 × 10^(12) × 4.25 × 10^(9)
= 13.6 × 10^(21)
= 1.36 × 10^(22)
Hence, the product of two numbers in terms of scientific notations is 1.36 × 10^(22).
To learn more about the scientific notations, visit here:
https://brainly.com/question/10401258
#SPJ4
on the unit circle, where 0 less-than pi, when is tangent theta undefined?on the unit circle, where 0 less-than pi, when is tangent theta undefined?
The tanΘ will be undefined at Θ = π/2, where 0≤Θ≤π and tanΘ will be undefined at Θ = 3π/2 where π≤Θ≤2π.
A circle is what?A circle is a shape made up of any and all points inside a plane that are situated at a specific distance from the center point. In other words, it is the path a moving point in a plane takes to move around a curve while maintaining a constant distance from another point.
According to the given data:The unit circle the point (cosΘ, sinΘ) lies on the circle.
Where, 0≤Θ≤2π
We know that tanΘ is the ratio of the sinΘ to cosΘ:
tanΘ = sinΘ/cosΘ
So,
tanΘ will be undefined when cosΘ = 0
So in the interval 0≤Θ≤π
CosΘ will be zero at π/2
The tanΘ will be undefined at Θ = π/2, where 0≤Θ≤π and tanΘ will be undefined at Θ = 3π/2 where π≤Θ≤2π.
To know more about circle visit:
https://brainly.com/question/11833983
#SPJ4
Answer: C
Step-by-step explanation:
Hope this helps. E2020
is 3/5 of a mile longer or shorter than 4/7 of a mile
Answer:
3/5 is longer than 4/7
Step-by-step explanation:
2. Consider divided by . (a) Write a real-world problem for the division. (b) Create a model or write an equation for the division. (c) Find the quotient for the real-world problem in part (a). Show your work or explain your reasoning.
2(1/2)/0.25=x and 10 is the quotient for the real-world problem in part.
What is Division?Division is splitting a group into equal parts and it is one of the four basic math operations.
The real-world problem for the division is
2(1/2)÷)0.25=x
Wth 2.5 L of water. you can drink 0.25L litres in one mouthful.How many mouthfuls do you need to drink.
the quotient for the real-world problem in part is
2.5/0.25
=10
10 is the quotient for the real-world problem in part.
Therefore 10 is the quotient for the real-world problem in part.
To learn more about Division click:
https://brainly.com/question/21416852
#SPJ1
data was collected for 300 fish from the north atlantic. the length of the fish (in mm) is summarized in the fdt below.
The upper-class limit for the sixth class is 179.
What is the upper-class limit?A class's upper-class limit is the largest value that can appear in that class. The difference between consecutive lower class limits is the class width. Subtract one from the lower limit of the second class to find the upper limit of the first class. Then, to find the remaining upper limits, continue to add the class width to this upper limit. Subtract 0.5 units from the lower limits and add 0.5 units to the upper limits to find the boundaries.So,
To find upper-class limit 6tj class. Subtract 1 from the lower-class limit of the 7th class.180 - 1 = 179Therefore, the upper-class limit for the sixth class is 179.
Know more about upper-class limits here:
https://brainly.com/question/16793431
#SPJ4
The correct question is given below:
Data was collected for 300 fish from the North Atlantic. The length of the fish (in mm) is summarized in the GFDT below.
Lengths (mm) Frequency
120 - 129 1
130 - 139 16
140 - 149 71
150 - 159 108
160 - 169 83
170 - 179 18
180 - 189 3
What is the upper-class limit for the sixth class?
1. Which of the drawings described below would create a line of reflection that takes the point A to point B?
a.
Draw the perpendicular bisector of segment AB.
b. Draw a line through B perpendicular to segment AB.
c. Draw the line passing through A and B.
d. Draw a line parallel to line AB.
The drawing that creates a line of reflection that takes the point A to point B is; D: Draw a line parallel to line AB.
How to create a line of reflection
A line of reflection is a line that lies in a position between two identical mirror images so that any point on one image is the same distance from the line as the same point on the other flipped image.
Let us look at the given options;
A) Draw the perpendicular bisector of segment AB; A perpendicular bisector will NOT create a line of reflection that takes point A to point B but rather it will divide the line AB in two equal parts
B) Draw a line through B perpendicular to segment AB; A line through B perpendicular to segment AB will NOT Create a line of reflection that takes point A to point B
C) Draw the line passing through A and B;
A line passing through A and B will NOT create a line of reflection that takes point A to point B but rather will create Line A and B again and not its reflection
D) Draw a line parallel to line AB;
A line parallel to line AB will create a line of reflection that takes point A to point B because a parallel line never meet thereby creating the direct imagery of Line AB.
Thus, the drawing that create a line of reflection that takes the point A to point B is; D: Draw a line parallel to line AB.
Read more about Line of Reflection at; https://brainly.com/question/1908648
#SPJ1
236 + 85 pls help so hard
Answer:
Step-by-step explanation:Its 321
The function has changed from f(x)= |x| to g(x)= 2|x|+3 describe the change.
*
The function has been vertically stretched by a factor of 2 and shifted 3 units up
The function has been vertically compressed by a factor of 2 and shifted 3 units up
The function has been vertically stretched by a factor of 2 and shifted 3 units down
The function has been vertically compressed by a factor of 2 and shifted 3 units down
Which number is less than 2.167 × 10?
A. 9,978
B. 1.1 x 10
C. 56,344,000
D. 2.468 × 10
Answer:
A, B, C
Step-by-step explanation:
Solve for x 2(4-3x)=20
Answer:
x = -2
Step-by-step explanation:
2(4 - 3x) = 20
8 - 6x = 20
-8 -8
-6x = 12
÷-6 -6
x = -2
I hope this helps!
what is -3+5-11 ?? i need help
Answer:-9
Step-by-step explanation:
-3(x+5)=-(3x+15) solve for x
Step-by-step explanation:
Simplifying
-3(x + 5) = -1(3x + 15)
Reorder the terms:
-3(5 + x) = -1(3x + 15)
(5 * -3 + x * -3) = -1(3x + 15)
(-15 + -3x) = -1(3x + 15)
Reorder the terms:
-15 + -3x = -1(15 + 3x)
-15 + -3x = (15 * -1 + 3x * -1)
-15 + -3x = (-15 + -3x)
Add '15' to each side of the equation.
-15 + 15 + -3x = -15 + 15 + -3x
Combine like terms: -15 + 15 = 0
0 + -3x = -15 + 15 + -3x
-3x = -15 + 15 + -3x
Combine like terms: -15 + 15 = 0
-3x = 0 + -3x
-3x = -3x
Add '3x' to each side of the equation.
-3x + 3x = -3x + 3x
Combine like terms: -3x + 3x = 0
0 = -3x + 3x
Combine like terms: -3x + 3x = 0
0 = 0
Solving
0 = 0
Couldn't find a variable to solve for.
This equation is an identity, all real numbers are solutions.
Answer:
Step-by-step explanation:
-3(x+5) = -(3x+15)
-3x - 15 = -3x - 15
the 2 sides are identical so there are
INFINITE solutions.
2. Which graph represents the solution
of 6 + 3y < 9 or 4y > 3y + 2?
Help please!!!!!
Answer: B.
Step-by-step explanation:
First, we will solve both of these given inequalities for x by isolating the variables.
Given:
6 + 3y < 9
Subtract 6 from both sides of the equation:
3y < 3
Divide both sides of the equation by 3:
y < 1
--
Given:
4y > 3y + 2
Subtract 3y from both sides of the equation:
y > 2
Now, our given inequalities are y < 1 and y > 2. These inequalities are easier to view on the graph. We see that these are not equal to (≥ or ≤), so we will have open circles.
First, we will graph y < 1. We will plot an open circle at y = 1 and then shade to the left of it. Net, we will graph y > 2. We will plot an open circle at y = 2 and then shade to the right of it. This leaves us with answer option B.
list 1 1/4, 1 2/3, and 11/12 in order form least to greatest
On the following number line, what number would you plot at point B?
A number line from 4 to 5 partitioned into tenths. There is a red dot between 4 and 4.1 labeled A. There is a red dot between 4.3 and 4.4 labeled B. There is a red dot between 4.5 and 4.6 labeled C. There is a red dot between 4.7 and 4.8 labeled D
4.009
4.328
4.43
4.77
The number which corresponds to the point B is (option b) 4.328.
Given,
A number line 4 to 5 partitioned into tenths. ( image is attached below)
There are 4 red dots:
A - Between 4 and 4.1B - Between 4.3 and 4.4C - Between 4.5 and 4.6D - Between 4.7 and 4.8We have to plot the number corresponding to the point B.
Let's go through the options:
a) 4.009 : This would be between 4 and 4.1. That is, point A.
b) 4.328 : This would be between 4.3 and 4.4. That is, point B.
c) 4.43 : This would be between 4.4 and 4.5
d) 4.77 : This would be between 4.7 and 4.8. That is, point D.
So, the number which corresponds to the point B is (option b) 4.328.
Learn more about number line here:
https://brainly.com/question/26711960
#SPJ1
My Assuming Answer;
OPTION B;
4.328
Add-ons;
Hey again! Here's an answer to your question :) Thanks for giving that recipe. Have a nice day.
x and y are only correlated because z caused both to occur. in this example, z is known as a: x and y are only correlated because z caused both to occur. in this example, z is known as a: confounding variable
When x and y are only correlated because z caused both to occur. in this example, z is known as a: x and y are only correlated because z caused both to occur. in this example, z is known as a: confounding variable. This is true
What is a confounding variable?It should be noted that confounding variables are variables which affect other variables in such a way that it produces distorted associations between two variables. It should be noted that they confound the "true" relationship between two variables.
In this case, a causal relationship between two variables is often described as the way in which the independent variable affects the dependent variable.
Therefore, the information illustrated is true.
Learn more about variables on:
https://brainly.com/question/25223322
#SPJ4
21- to 24-year-olds in the us have the lowest percentage of drivers in fatal crashes with bac levels of .08% or higher.
This statement is False:
"21- to 24-year-olds in the us have the lowest percentage of drivers in fatal crashes with bac levels of .08% or higher."
What do deadly crashes entail?A traffic collision, also known as a motor vehicle collision, car accident, or car crash, happens when a vehicle strikes another vehicle, a pedestrian, an animal, road debris, or another immovable object, like a tree, pole, or a structure.
Exactly what is a nonfatal accident?An injury that is not fatal under this approach is one that results from prolonged exposure to an outside force or substance (mechanical, thermal, electrical, chemical, or radiation) or from submersion. Both deliberate and inadvertent bodily harm may occur.
In a collision, what areas of the body are struck first?Severe injuries are most frequently dealt to the neck, followed by the head, chest, legs, and abdomen/pelvis, for passengers riding on the side of the automobile that was impacted. For those riding in vehicles on the contralateral side of the car, head injuries are most common, followed by chest injuries.
To know more about fatal crashes visit:
https://brainly.com/question/27929282
#SPJ4
A solution consisting of 90 mg of dopamine in 20 mL of solution is administered at a rate of 8 ml/hr.
A solution of 150 h is administered at a rate of 8 ml / hr.
We express the answer in terms of mg/hr m g / h r
90 mg dopamine / 20 ml = 4.5 mg/ml
4.5 mg/ml * 8 ml/h = 36 mg/h
90 mg * 1 h / 36 mg= 150 h to administer -- using the inverse of 90 mg per 1 hour and cancelling mg in numerator and ml denominator.
Hence, 150 h is administered at a rate of 8 ml / hr.
To know more about Dopamine , visit :
brainly.com/question/4560426
#SPJ9
parentheses. Write the rounded value on the line
1. 5 672 874 627
(nearest millions)
The rounded value of 5,672,874,627 is 5,673,000,000
What is a rounded value?
When a number is rounded, its value is kept relatively constant while being made easier. The outcome is simpler to use but less precise. Since 73 is closer to 70 than to 80, it is 70 when rounded to the nearest ten. But 76 increases to 80.
5,672,874,627
2 is in the million column
5,672,874,627
The nearest million could be 5,672,000,000 or 5,673,000,000.
To round to the nearest million, look at the digit in the column to the right, the hundred thousands.
5,672,874,627
The number in the hundred thousands column is 8.
The rule is, if the number is 5 or more, round up
5,673,000,000
Therefore, the rounded value of 5,672,874,627 is 5,673,000,000
To learn more about rounded value from given link
https://brainly.com/question/27207159
#SPJ9
whats the anwer to 7/8-1/4=
Answer:
7/8-1x2/4x2
7/8-2/8=5/8
5/8
You can find the net force F on an object
by using the formula F = ma, where m is
the mass of the object in kilograms and
a is its acceleration in meters per second
squared. What is the mass of an object
that has a net force of 65 kg m/s² and an
acceleration of 5 m/s²?
Answer: m = 13 kg
Step-by-step explanation:
This question gives us the formula to use. We will plug-in the values we know and solve for the unknown (mass).
Given:
F = ma
Plug-in known values:
(65 kg m/s²) = m(5 m/s²)
Divide both sides of the equation by 5 m/s²:
The m/s² unit cancel out, so we are left with kg.
m = 13 kg
The mass of the object is 13 kg.
Solve 26 ≤ −8z − 26
pls pls helppp
The solution to the system of inequality is z ≤ -13/2
Solving inequalitiesInequality are expression that are not separated by an equal sign.
Given the inequality expression
26 ≤ −8z − 26
Add 26 to both sides
26 + 26 ≤ −8z − 26 + 26
52 ≤ −8z
−8z ≥ 52
z ≤ -52/8
z ≤ -13/2
Hence the solution to the system of inequality is z ≤ -13/2
Learn more on inequality here; https://brainly.com/question/24372553
#SPJ1
Answer:
B) Z ≤ −6.5
Step-by-step explanation:
Since it's Z ≤ -13/2, then it must be B, since 13 divided by 2 is 6.5.
Brainliest, anyone???
Two integers, a and b, have a greatest common
actor of 1. If a = 12 and b is greater than 35
but no more than 40, what is the value of b?
The value of the integer of the b is 37,38,39.
According to the statement
We have to find that the value of the integers.
So, For this purpose, we know that the
An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero.
From the given information:
Two integers, a and b, have a greatest common actor of 1. If a = 12 and b is greater than 35 but no more than 40.
Then
a=12
35 < b < 40
Now, we use the GCF
then
GCF of a and b = 1
GCF of 12 and 37 = 1
GCF of 12 and 38 = 2
GCF of 12 and 39 = 3 .
So, The value of the integer of the b is 37,38,39.
Learn more about integer here
https://brainly.com/question/12399107
#SPJ9
Logic puzzle help solve pleaseeeeeeeee
Answer:
Many challenging questions do not involve numerical or geometrical considerations but call for deductive inferences based chiefly on logical relationships. Such puzzles are not to be confounded with riddles, which frequently rely upon deliberately misleading or ambiguous statements, a play on words, or some other device intended to catch the unwary. Logical puzzles do not admit of a standard procedure or generalized pattern for their solution and are usually solved by some trial-and-error method. This is not to say that the guessing is haphazard; on the contrary, the given facts (generally minimal) suggest several hypotheses. These can be successively rejected if found inconsistent, until, by substitution and elimination, the solution is finally reached. The use of various techniques of logic may sometimes prove helpful, but in the last analysis, success depends largely upon that elusive capacity called ingenuity. For convenience, logic problems are arbitrarily grouped in the following categorie