The simpliified value of the expression 6 5/8 x -1 2/5 is - 371/40
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the solution of the expression?The expression is given as
6 5/8 x -1 2/5
Convert the mixed fractions to improper fractions
So, we have
6 5/8 x -1 2/5 = 53/8 x - 7/5
Evaluate the product of the numerators in the above expression
So, we have
6 5/8 x -1 2/5 = 53/8 x - 7/5
Evaluate the product of the numerators in the above expression
So, we have
6 5/8 x -1 2/5 = - 371/8 x 1/5
Evaluate the product of the denominators in the above expression
So, we have
6 5/8 x -1 2/5 = - 371/40
Hence, the simpliified value of the expression 6 5/8 x -1 2/5 is - 371/40
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Combine like terms to create an equivalent expression.
7.4z-5(-1.6z+2.4)
The equivalent expression of the expression given as 7.4z - 5(-1.6z + 2.4) is -0.6z + 12
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to evaluate the expression?The expression is given as
7.4z - 5(-1.6z + 2.4)
Open the bracket
7.4z - 5(-1.6z + 2.4) = 7.4z - 8z + 12
Collect the like terms in the above expression
So, we have
7.4z - 5(-1.6z + 2.4) = 7.4z - 8z + 12
Evaluate the like terms in the above expression
So, we have
7.4z - 5(-1.6z + 2.4) = -0.6z + 12
Hence, the equivalent expression of the expression given as 7.4z - 5(-1.6z + 2.4) is -0.6z + 12
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Find the distance between the points (-4.4 , 9.8 ) and ( -4.4, -6.5).
Step-by-step explanation:
[tex] = \sqrt{ {x2 - x1)}^{2} + (y2 - y1) } \\ = \sqrt{ {( - 4.4 - ( - 4.4))}^{2} + ( { - 6.5 - 9.8)}^{2} } \\ = \sqrt{ {0}^{2} + 265.69 } \\ = 16.3units[/tex]
HOPE THIS HELPS
Help this is due tomorrow no hate I’m a 5th grader
Answer:
64,222=60,000
526,193=530,000
168,055=170,000
584,629=580,000
Step-by-step explanation:
I would suggest watching a math antics video to better understand these questions. if the first number to the right is a 5 or above the number goes up of its 4 or below it stays the same.
Geometry: Solve a multi step linear equation with variables on both sides?
pls answer right away!!
Answer: a = 15
Step-by-step explanation:
first distribute the 5 and 3 to the parenthesis
5a-5-15=3a+6+4
then add the numbers on each side together
5a-20=3a+10
then add 20 to both sides to move that over and subtract 3a from both sides to move that over
2a=30
divide by 2
a=15
Previous Problem Problem List Next Problem
(1 point) Let f(z) be the function 10z²-9z+3. Then the quotient
f(4+h)-f(4)
can be simplified to ah + b for:
h. What is the value of a and b
The value obtained from the given function f(z) = 10z²-9z+3 are-
a = 10h.b = 71h.What defined as the quotient function?A quotient function is a function that consists of two functions isolated by a division sign.The domain of the quotient between two functions, f(x) and g(x), is A ∩ B ("A intersected with B" implies the set among all points that Both A and B have in common), excluding where g(x) = 0.In mathematics, a quotient is the result of dividing one number by another.For the given function;
f(z) = 10z²-9z+3.
The quotient is given as;
Quotient = f(4+h)-f(4)
Put the values (4 + h) and 4 at the place of z in the function.
f(4+h)-f(4) = 10(4 + h)² - 9(4 + h) + 3 -[10(4)² - 9(4) + 3)]
f(4+h)-f(4) = 10h² + 160 -9h + 80h + 3 - 160 + 36 - 3
Cancel the values;
f(4+h)-f(4) = 10h² + 80h - 9h
f(4+h)-f(4) = 10h² + 71h.
Thus, comparing the obtained equation by give form of (ah + b)
a = 10h and b = 71h.
Therefore, the obtained values for the given function f(z) is;
a = 10h and b = 71h.
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The engineering department of a large company has 25 members. The members must select a chair person, a vice chairperson, a secretary, and a 4-person advisory committee. Determine the number of different ways this can be done.
The number of ways to select a chair person, a vice chairperson, a secretary, and a 4-person advisory committee is 303600 ways.
How to illustrate the information?It should be noted that from the information, the engineering department of a large company has 25 members and the members must select a chair person, a vice chairperson, a secretary, and a 4-person advisory committee.
Therefore, the number of different ways that this can be done will be:
= 25P4
= 25! / (25 - 4)!
= 25! / 21!
= 25 × 24 × 23 × 22
= 303600 ways
Therefore, there are 303600 ways.
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NO LINKS!!! Please assist me
Answers in bold:
(a) Line AV and line RV(b) Plane SRZ, plane TRS, plane QTZ (c) Points S, R and Q(d) Points Q, T, R, and S(e) Line segment RV(f) Ray RA and ray RV======================================================
Explanation:
Part (a)
Pick any two points on line p. I'll go for points A and V. They lead to the name "line AV". The order doesn't matter so we could say "line VA"
Or you could pick points A and R to get line AR, and so on.
There are 6 different ways to name this line. We found 2 so far, and I'll let you find the other four.
-------------------------------
Part (b)
To name a plane, we need 3 points that reside in it. Points R, S and Z are in the vertical plane W. So we could call it "Plane SRZ". The order of the points doesn't matter.
-------------------------------
Part (c)
The term "collinear" means the points are on the same straight line. This applies to points S, R and Q. Also, it applies to points A, R, and V.
We cannot say something like "points S, R, and V are collinear" since they are on different lines. The points need to be on the same straight line.
-------------------------------
Part (d)
Coplanar points are part of the same plane. Pick your four favorite points in plane W that is shaded. You cannot select W since it's not a point.
-------------------------------
Part (e)
A line segment has a fixed length. Neither endpoint goes on forever. Technically there aren't any segments shown on this diagram since we have lines only. Though if we focus on a subset of say line AV, then segment RV is one possible line segment.
-------------------------------
Part (f)
Like with part (e), there are technically only lines here and nothing else. But we could break the line apart to get 2 rays.
A ray has one fixed endpoint and it points forever in one direction only. Think of a ray of light. An example of a ray is to start at point R and go forever toward point V. This forms ray RV. A similar situation happens with ray RA.
The order is important. The notation Ray RV is different from Ray VR since the first letter tells us the fixed endpoint that doesn't go on forever.
Notice how rays RV and RA, when joined together, form a straight line. They point in opposite directions. You could think of it like one is pointing north and the other points south.
Answer:
[tex]\textsf{a.} \quad \overleftrightarrow{AV} \; \textsf{and} \; \overleftrightarrow{RV}[/tex]
[tex]\textsf{b.} \quad STZ, \; RTZ, \;QTZ[/tex]
[tex]\textsf{c.} \quad A, R\; \textsf{and}\; V[/tex]
[tex]\textsf{d.} \quad Q,S,T \; \textsf{and}\; Z[/tex]
[tex]\textsf{e.} \quad \overline{AR}[/tex]
[tex]\textsf{f.} \quad \overrightarrow{RA} \; \textsf{and} \; \overrightarrow{RV}[/tex]
Step-by-step explanation:
Part aA line can be named by using two points on the line or by a (lowercase) letter.
Therefore, two other names for line p are:
[tex]\overleftrightarrow{AV}[/tex][tex]\overleftrightarrow{RV}[/tex]Part bA plane can be named by using three non-collinear points in the plane or by a (capital script) letter.
Therefore, three other names for plane W are:
STZRTZQTZPart cCollinear points are points that lie on the same line.
The collinear points on the given diagram are: A, R & V, and S, R & Q.
Therefore, three points that are collinear are:
A, R and VPart dCoplanar points are three or more points that lie in the same plane.
The coplanar points on the given diagram are: Q, R, S, T and Z
Therefore, four points that are coplanar are:
Q, S, T and ZPart eA line segment is part of a line that has two endpoints, and is named by its two endpoints.
The line segments on the given diagram are:
[tex]\overline{AR}, \;\overline{RV}, \; \overline{AV}, \; \overline{SR}, \; \overline{RQ} \; \textsf{and}\; \overline{SQ}.[/tex]
Therefore, a line segment is:
[tex]\overline{AR}[/tex]Part fA ray is a part of a line that has one endpoint (so continues infinitely in the direction without an endpoint).
Opposite rays are two rays that have a common endpoint and form a line. They are named by the common endpoint followed by any other point on each ray.
The pairs of opposite rays on the given diagram are:
[tex]\overrightarrow{RA} \; \textsf{and} \; \overrightarrow{RV}, \quad \overrightarrow{RS} \; \textsf{and} \; \overrightarrow{RQ}[/tex]
Therefore, a pair of opposite rays are:
[tex]\overrightarrow{RA} \; \textsf{and} \; \overrightarrow{RV}[/tex]
11. (01.05MC)
Compare the type of change that occurs when a substance melts and when a substance is set on fire. Use complete sentences to justify the type of change that occurs.
Answer: When a substance melts, it is changing from a solid to a liquid state. When a substance is set on fire, it is changing from a solid to a gaseous state.
Answer:
When a substance melts, it is changing from a solid to a liquid state. When a substance is set on fire, it is changing from a solid to a gaseous state.
The midpoint of AB is M(1, 3). If the coordinates of A are (-1, 5), what are the coordinates of B?
Hey ! I got stuck on this question and really need help
The solution to the composite functions are;
(q o r)(-2) = 14
(r o q)(-2) = 27
How to Solve Composite Functions?
We are given the functions;
q(x) = 2x - 4
r(x) = -3x + 3
(q o r) simply means; q(r(x)). Thus, it is expressed as;
(q o r) = 2(-3x + 3) - 4
Multiply out the bracket to get;
(q o r) = -6x + 2
(q o r)(-2) = -6(-2) + 2
(q o r)(-2) = 14
(r o q) simply means; r(q(x)). Thus;
(r o q) = -3(2x - 4) + 3
Multiply out the bracket to get;
(r o q) = -6x + 12 + 3
(r o q) = -6x + 15
(r o q)(-2) = -6(-2) + 15
(r o q)(-2) = 27
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A coordinate grid showing Passing the Ball, with Time after Throw in seconds along the horizontal axis x, and Distance from Goal in yards along the vertical axis y. One line labeled Player, passes through the points (0, 35), (4, 25), and (10, 10). Another line labeled Ball, passes through (0, 45), (4, 25), and (9, 0).
The graph shows the locations of a ball and a player seconds after the ball is thrown. What point could represent the player catching the ball?
(0, 35)
(0, 45)
(4, 25)
(10, 10)
The point which could represent the player catching the ball is: C. (4, 25).
What is a graph?A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
What is a point of intersection?In Mathematics, a point of intersection can be defined as the location on a graph where two (2) lines intersect, meet, or cross each other, which is typically represented as an ordered pair containing the point, x-axis and y-axis.
By critically observing the graph (see attachment) which models the given data, we can reasonably infer and logically deduce that the point (4, 45) where the "Distance from Goal" on the y-axis intersect with the "Time after Throw" on the x-axis represents the player catching the ball.
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Answer: 4, 25
Step-by-step explanation:
Alan ran for president of the chess club and he received 27 votes there were 60 members in the club what percentage of the club members voted for Alan
Answer:
45%
Step-by-step explanation:
27/60 x 100
.45 x 100
45
Solve the given differential equation's particular solution when the curve passes through the point (a = 1, b = 1).
(b^2+7ab+16a^2)da+a^2db=0
The solution of the given differential equation is;
-1/(b/a + 4) = -㏑|a| - 1/5.
What is defined as the differential equation?A differential equation is a mathematical expression that contains one or even more functions and their derivatives. The function's derivatives characterize the rate of change in a function at a given point.The given differential equation is-
(b² + 7ab + 16a²)da + a²db = 0
Take da common from both;
b² + 7ab + 16a² + a²db/da = 0
The curve passes through the point (a = 1, b = 1).
As, the given differential eq is the homogeneous eq; we can use it as;
Put, b = va
Differentiate above applying product rule.
db/da = (dv/da)a + v
Substitute the value in the main equation;
(va)² + 7a(va) + 16a² + a²( (dv/da)a + v ) = 0
Dividing whole equation by a².
v² + 7v + 16 + (dv/da)a + v = 0
Further simplifying;
(dv/da)a = -(v² + 8v + 16)
(dv/da)a = -(v + 4)²
Bring similar variable together;
dv/(v + 4)² = -da/a
Integrating the equation;
-1/(v + 4) = -㏑|a| + C ; c is the integration constant.
Substitute again the values of v;
-1/(b/a + 4) = -㏑|a| + C ........equation 1
Now use the given points; a = 1; b = 1.
-1/(1/1 + 4) = -㏑|1| + C [㏑|1| = 0]
-1/5 = C
Put the value of C in equation 1.
-1/(b/a + 4) = -㏑|a| - 1/5; is the required differential equation.
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The table below shows the population of a town, recorded in different years.
Use this table to complete the sentence.
Year
2000
2006
2012
Population of
the town
27,488
18,906
22,183
Between 2000 and 2006, the population
of the town increased / decreased
by
%, rounded to the nearest 19.
From the given table of the population, between 2000 and 2006 the population of the town decreased by 31.2%.
As given in the question,
Population of a town given in the table
Year Population of the town
2000 27,488
2006 18,906
Population of 2006 < population of 2000
Decrease in population = 27,488 - 18,906
= 8,582
Decrease of the population in percentage = (Difference/original) ×100
= ( 8,582 / 27,488 ) × 100
= 31.2%
Therefore, from the given table of the population, between 2000 and 2006 the population of the town decreased by 31.2%
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Answer:
32%
Step-by-step explanation:
27488-18906=8582
27488/8582=3.2
3.2x100=32
decrease by 32
mark me brainliest the other answer is wrong
Is this correct?
f(x)=2x+3
Picture is included
Answer:
Correct
Step-by-step explanation:
Answer: yessir
Step-by-step explanation:
lesson 6.1
Graph the image of the figure using the transformation given.
options are the last 3 pictures
The figure with these coordinates are R'(0, -4), S'(2, 0), T'(3, 0) and U' (4, -1) given below. Therefore, option A is the correct answer.
Given that, the translation is 3 units right and 4 units down.
What is translation?A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions. Since it is just moving the shape from one place to other, there is no change in the shape.
The coordinates of the given figure are R(-3, 0), S(-1, 4), T(0, 4) and U(1, 3).
If the translation is 3 units right and 4 units down, then the coordinates become (x+3, y-4).
That is, R'(-3+3, 0-4)=(0, -4)
S'(-1+3, 4-4)=S'(2, 0)
T'(0+3, 4-4)=T'(3, 0)
U'(1+3, 3-4)=U' (4, -1)
So, the coordinates are R'(0, -4), S'(2, 0), T'(3, 0) and U' (4, -1)
The figure with these coordinates are R'(0, -4), S'(2, 0), T'(3, 0) and U' (4, -1) given below. Therefore, option A is the correct answer.
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I don't understand. HELP ME PLEASEEEEEEE
By using the concepts of line segment and collinearity of line segments, the numerical length of the line segment JK within the line segment IK is 21 units.
How to determine the length of the line segment JK within the line segment IK
In this problem we find two collinear line segments IJ and JK, two line segments are collinear if they are contained by the same line. The mathematical expression that represents the two collinear line segments are shown below:
IJ + JK = IK
If we know that JK = x + 6, IJ = 9 and IK = 2 · x, then the numerical length of JK is:
9 + (x + 6) = 2 · x
x + 15 = 2 · x
15 = 2 · x - x
15 = x
x = 15
JK = x + 6
JK = 15 + 6
JK = 21
The length of the line segment JK is 21 units.
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fill in the table using this function rule
Slope = 2; y-intercept = -1
Slope = - 3_5 ; y-intercept = 4
Slope = -3; y-intercept = 2
Thank you and help
look at xvy and zvy in the image below. which of the following is the best description for this pair of angles
Answer:
complementary angles
Step-by-step explanation:
∠ XVY and ∠ ZVY form angle XVZ
∠ XVZ is a right angle = 90° , then
∠ XVY + ∠ ZVY = 90°
2 angles whose sum is 90° are complementary angles
What is the difference between the length of the shortest movie and the length of the longest movie?
Consider two consecutive positive integers such that the square of the second integer added to 4 times the first is equal to 73.
Step 2 of 2 :
Find the integers by solving the equation.
The numbers are 6 and 7.
How to solve the equation?Let the values be x and x + 1.
Therefore, the equation will be:
4x + (x + 1)² = 73
4x + x² + 2x + 1 = 73
x² + 6x + 1 - 73 = 0
x² + 6x - 72 = 0
x² + 12x - 6x - 72
x(x + 12) - 6(x + 12)
Therefore, x - 6 = 0
x = 0 + 6 = 6
Therefore, the numbers are 6 and 7
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Use the formula kilowatt-hour (kWh) = watts x hours used per day / wattage.
To estimate the maximum kilowatt-hour that each appliance uses per day, per month, and per year. write your answers in scientific notation with a single-digit multipler. Assume 30 days per month and 365 days per year.
2. which appliance uses the least amount of energy per day?
3. which appliance uses the most amount of energy per year? Show your work.
Television - Wattage: 300 Hours per day: 6
Clothes dryer - Wattage: 2,790 Hours per day 4
Refrigerator - Wattage: 225 Hours per day: 24
Find the kWh per day, kWh per month, and kWh per year.
Write all of them in scientific notation.
The clothes dryer uses the maximum energy at 1.018 × 10⁶ kilowatt-hour
Kilowatt-hours are primarily used to sell electrical energy to customers. A device's power consumption in kilowatts, operating time in hours, and price per kilowatt-hour are multiplied to get the cost of running it. Utility companies' charges for power may vary based on the customer's consumption patterns over time. Prices vary widely depending on the location. Prices in the US can differ by a factor of three between states.
A composite energy unit called a kilowatt-hour is defined as one kW sustained for (and multiplied by) one hour. It is equivalent to 3600 kilojoules, or 3.6 MJ, when expressed in the joule (symbol J), the SI's base unit of energy.
So from the given conditions the television uses the least amount of energy per day at 300 kilowatt-hour.
The amount of energy per year:
Television = 300 × 365 = 1.095 × 10⁵ kilowatt-hour
Dryer = 2790 × 365 = 1.018 × 10⁶ kilowatt-hour
Refrigerator = 225 × 365 = 8.213 × 10⁴ kilowatt-hour
Hence the maximum energy is used by the Dryer.
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Write an algebraic expression for the following phrase three more than twice a number
The algebraic expression for "three more than twice a number" is translated as: 2n + 3.
What is an Algebraic Expression?An algebraic expression is a mathematical statement that is written to represent a phrase, using alphabets as variables of the algebraic expression, operation signs and numbers.
How to Write an Algebraic Expression?Given the phrase "three more than twice a number", we can represent the number using the variable, x.
Therefore:
Twice the number, n, would be: 2n
3 more than 2n would be translated as: 2n + 3.
The whole phrase, translated into algebraic expression is expressed as: 2n + 3.
Conclusively, the algebraic expression for "three more than twice a number" is translated as: 2n + 3.
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Find five solutions of the equation. Select integer values for x, starting with 2 and ending with 2. Complete the table
of values below.
y = 6x-4
...
Complete the table to the right by typing an integer for
the first input and an ordered pair for the second input.
X
-2
-1
0
1
2
y = 6x-4
(x,y)
The second inputs are -16 , -10 , -4, 2 ,8 an integer.
What in math is an integer?
An integer, pronounced "IN-tuh-jer," is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers that are not integers are some examples.x y = 6x - 4 (x,y )
-2 6 * -2 - 4 ( -2 , - 16)
______________________________________________________
- 1 - 1 * 6 - 4 ( -1 , -10 )
________________________________________________________
0 0 * 6 -4 ( 0 , -4)
________________________________________________________
1 6 * 1 - 4 ( 1 , 2)
________________________________________________________
2 6 * 2 - 4 ( 2 , 8 )
_______________________________________________________
the second inputs are -16 , -10 , -4, 2 ,8
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The complete question is -
Find five solutions of the equation. Select integer values for x, starting with - 2 and ending with 2. Complete the table of values below y =6x-4 (x,y) Complete the table to the right by typing an integer for the first input and an ordered pair for the second input. х y = 6x-4 (x,y) -2 - 1 0 1 2 Use two of the given points to graph the equation. Click to enlarge graph
Solve the compound inequality.
The solution to the compound inequality is (-5, infinity) U (-8, infinity)
How to solve the compound inequality?The compound inequality is given as
3x + 2 > 2x - 3 > x - 11
Add 3 to all sides of the inequality
So, we have
3x + 5 > 2x > x - 8
Split the inequality
So, we have
3x + 5 > 2x and 2x > x - 8
Evaluate the like terms
x + 5 > 0 and x > - 8
This gives
x > -5 and x > - 8
As an interval notation, we have
(-5, infinity) U (-8, infinity)
Hence, the solution to the compound inequality is (-5, infinity) U (-8, infinity)
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√26 in irrational number on the number line using rational approximation
Answer: your mom
Step-by-step explanation: your dad your brother your sister your uncle your aunt your aaaaauuuuuggggghhhh
0.983/0.3 in fraction form
Answer:
983/300 or 3 83/300
Step-by-step explanation:
Multiply to move the decimal, therefore giving you a whole number.
Jane travels 3 times as fast as Jill. Traveling in opposite directions, they are 256 miles apart after 8 hours. Find their rates of travel.
Jane is traveling at 26.66 mph
Jill is traveling at 5.33 mph .
let the speed of jane and jill are
Jill = x mph
Jane = 5x mph
where mph= Miles per hour
To solve for speed or rate use the formula for speed, s = d/t which means speed equals distance divided by time.
we also write as -
Distance = rate x time
8x + 8(5x) = 256
8x + 40 x = 256
48x = 256
x = 256/48
x = 5.33 mph
jill is traveling at 5.33 miles per hour. We can find jane speed by put the value of x
5 x = 5×5.33
5x = 26.66 mph
So Jane is traveling at 26.66 mph
Jill is traveling at 5.33 mph
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Figure B is a scaled copy of Figure A. Select all of the statements that must be true:
A. Figure B is larger than Figure A.
B. Figure B has the same number of edges as Figure A.
C. Figure B has the same perimeter as Figure A. D. Figure B has the same number of angles as Figure A.
E. Figure B has angles with the same measures as Figure A.
The required solution of the scaled factored figure is,
B. Figure B has the same number of edges as Figure A.
E. Figure B has angles with the same measures as Figure A.
Given that,
Figure B is a scaled copy of Figure A. We have to select all of the statements that must be true.
Here,
Figure B is similar to figure A but smaller than figure A.
So, Options A, C, and D are false
since the figure is similar, and the number of edges and angles are also equal.
So, Options B and E are correct.
Thus, the required solution of the scaled factored figure is,
B. Figure B has the same number of edges as Figure A.
E. Figure B has angles with the same measures as Figure A.
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