The integer in the solution set of 5/6m - 4 < 1/3m + 5 that would make it false is 20
How to determine the integers in the set?The set is given as
S:{−18, 2, 15, 20}
The inequality expression is given as
five sixths m minus four is less than one third m plus 5
Rewrite the inequality expression properly
So, we have
5/6m - 4 < 1/3m + 5
Subtract 1/3m from both sides of the inequality expression
So, we have
1/2m - 4 < 5
Add 4 to both sides of the inequality expression
So, we have
1/2m < 9
Divide both sides of the inequality expression hy 1/2
So, we have
m < 18
This means that the integers in the solution set are integers that are less than 18
These integers are −18, 2, 15
All other integers would make the inequality false
Hence, the solution is 20
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What is an equation of the line that passes through the points (2, -8) and (1, -7)
The figure below is dilated by a factor of 4/3 centered at the origin.Plot the resulting image.
The coordinates after dilation is
(-4 , 8) (0, 4) (-4, 4)What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
Given coordinates of triangle (-3, 6), (0, 3) and (-3, 3)
As, the figure dilated by factor 4/3
Then the coordinates after dilation is
(-3 x 4/3, 6 x 4/3) = (-4 , 8)
(0 x 4/3, 3 x 4/3) = (0, 4)
(-3 x 4/3, 3 x 4/3) = (-4, 4)
Hence, the coordinates are:
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Please help me. I am not very good at math.
Answer: Did you get the help you needed?
Step-by-step explanation:
 I REALLY NEED HELP WITH THIS!!
Determine the angles of a rotation
A) 90º clockwise
B) 90º counterclockwise
C) 180º
D) 270º clockwise
E) 270º counterclockwise
is 2 correct answers ❗️ 
An angle of rotation is the measure of the amount that a figure is rotated about a fixed point called a point of rotation.
Explain the angles of a rotation?Movement in circles is rotation. The daily rotation of the Earth about its axis is an example of a rotation, which is the movement of something through one full circle. [ + of] Alternative Words: wheel, revolving, revolution more words for rotationAngle of rotation =m = m is the product of the number of central angles and the measure of a single central angle to get the angle of rotation between two points or vertices.The definition of the direction of a rotation in a plane in terms of the rotation's angle. The rotation will move counterclockwise if the angle of rotation is positive. The rotation will move counterclockwise if the angle of rotation is negativeThe angle of a rotation is 90 clockwise
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you take out a loan for $702 at an annual interest rate of 6% compounded quarterly for 2 years what is the total amount that you will have at the end of the two-year
you take out a loan for $702 at an annual interest rate of 6% compounded quarterly for 2 years what is the total amount that you will have at the end of the two-year
we know that
The compound interest formula is equal to
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]where
A is the total amount at the end of two years
P is the loan
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
P=$702
r=6%=6/100=0.06
t=2 years
n=4
substitute the given values in the formula
[tex]\begin{gathered} A=702\cdot(1+\frac{0.06}{4})^{4\cdot2} \\ A=702\cdot(1.015)^8 \\ A=\$790.80 \end{gathered}[/tex]therefore
the answer is
$790.80Use the image above to identify and explain the relationship between the segments and circles A and B. In your explanation, be sure to include specific vocabulary and definitions for the relationships.
QT
Circle A and Circle B's connection
Circle A's size is more significant than Circle B's size.
As a result, circle A's radius exceeds circle B's radius.
The connection between segments
1.
Let M be the location where Segment QT and ER intersect.
Additionally, tangents from an outside point to a circle have identical lengths.
QM = ME———— (1)
MT=MR————(2)
Including (1) and (2)
MR + ME = QM + MT
Q T=ER
2.
Tangents from an exterior point to a circle have identical lengths.
We may write the following segments are equal using this property.
UP=U Q
Z C=ZR
V C=VS
NR=NS
KC=K T
What are Tangents?
A line that only touches a circle or an ellipse at one point is said to be divergent in geometry. If a line contacts a curve at point P, that point is referred to as the point of tangency. In other words, it is described as the line that, at that particular location, indicates the slope of a curve. The following methods can be used to find the tangent equation in differential geometry:
As we are aware, the gradient of the curve at any given location on the curve is equal to the gradient of the tangent to the curve. The following is how to determine the tangent equation of the curve y = f(x):
Utilizing the differentiation principles, determine the gradient function's derivative.
To determine the tangent's gradient, the derivative should be changed to include the provided point's x-coordinate
Find the tangent equation by substituting the provided coordinate point and the gradient of the tangent into the straight-line equation (in a slope-point formula).
Circle's Tangent
A closed, two-dimensional form, a circle is also a curve. The radius of the circle or the line from the center O to the point of tangency is always vertical or perpendicular to the tangent line AB at P, i.e., OP is perpendicular to AB as illustrated in the accompanying picture.
Geometric Tangent
Here, "AB" stands for the tangent, "P" for the point of tangency, and "O" for the circle's center. The OP is the radius of the circle.
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Solve the inequality 7(2x + 5) < 3(4x – 1). Write your solution in algebraic form, interval notation, and graphed on a number line.
The solution for the given inequality is :
x < -19
In interval notation it is:
(-∞, -19)
And the graph can be seen in the image below-
How to solve the inequality?Here we have the following inequality:
7*(2x + 5) < 3*(4x - 1)
To solve it, we need to isolate x in one of the sides of the inequality. Doing that we will get:
14x + 35 < 12x - 3
14x - 12x < -3 - 35
2x < - 38
x < -38/2
x < -19
This is the solution, written in interval form it is:
(-∞, -19)
And to graph this, we need to graph an open dot at x = -19 (which means that x = -19 is not a solution) and a line that goes to the left, it will be something like in the image below.
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Car A Car B Car C
500 miles on 33.4 gallons 43 miles on 2.5 gallons 100 miles on 5.5 gallons
Which car among the 3 had the best gas mileage?
Answer:
Car C with a gas mileage of 18.18 mpg
Step-by-step explanation:
Compute mileages by the formula: Miles Driven/Gas Consumed and choose the highest value
Car A: 500 / 33.4 = 14.97 mpg
Car B : 43 / 2.5 = 17.2 mpg
Car C: 100 / 5.5 = 18.18 mpg
question will be in picture
Let N be the nickels and Q be the quarters, since Charlie found 35 coins, we can write
[tex]\begin{gathered} N+Q=35 \\ or\text{ equivalently} \\ N=35-Q \end{gathered}[/tex]Now, we know that a nickel is worth 5 cents and a quarter is worth 25 cents, then we can write
[tex]\begin{gathered} 5N+25Q=100\times5.15 \\ 5N+25Q=515 \end{gathered}[/tex]Then, the answer is option a.
Segment AB has endpoint A at (0,0). The midpoint of segment AB is located at (5,3). What are the coordinates of endpoint B? A. (10, 6) B. (6, 10) C. (2.5, 1.5) D. (1.5, 2.5)
The coordinates of endpoint B is B( 10, 6).
What is coordinates?
A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers, or coordinates. The coordinates' order is important, and often they are recognised by their place in an ordered tuple or by a letter, as in "the x-coordinate." In elementary mathematics, the coordinates are assumed to be real numbers, although they could instead be complex numbers or components of a more abstract system, such a commutative ring.
Let the coordinate at point B be B( x,y )
given that A(0,0) and the midpoint of the line AB is (5,3).
We know the mind point formula:
midpoint = ( x2 + x1 / 2 , y2 + y1 / 2)
Therefore according to the question,
B(5 = x + 0 / 2 , 3 = y + 0 / 2)
B( 10, 6)
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PLEASE HELP FAST ILL GIVE BRAINLIEST!
Answer:
160
Step-by-step explanation:
360-170-30=160 subtract all angles from 360
Answer:
140°
Step-by-step explanation:
oh, come on, this is like "you have 8 apples as a mixture of red and green apples. 5 apples are red, how many are green ?".
it is the same here.
the total angle is 170°.
now we know a part of it is 30°.
how large is the rest ?
well, it is 170 - 30 = 140°
If the parent function f(x)=|x| is transformed to g(x)=|x|+4 what transformation occurs from f(x) to g(x)
For the transformation of parent function f(x)=|x| to the g(x)=|x|+4, the transformation occurred is 4 units upward.
What is method to obtain a new function from parent function?Assume we have a parent function y=f (x). By simply bringing some constant c, one can generate a new function y=g(x) from parent function. The addition of such a constant alters the parent function's behavior, resulting in shifting, reflecting, extending, or reducing its graph. From that, we can claim that a new function evolves with different properties (such as domain as well as range) than the original function.The function transformation / translation principles are as follows: f (x) + b raises the function b units.
f (x) + b shifts a function b units upward.f (x) − b shifts a function b units downward.f (x + b) shifts a function b units to the left.f (x − b) shifts a function b units to the right.−f (x) reflects a function in x-axis (that is, upside-down).The given parent function is; f(x)=|x|
The transformed function is; g(x)=|x|+4
Thus, from the 1st rule of the transformation we can say that the function has shifted 4 units to upward.
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An art teacher has a total of \frac{7}{8} pound of clay. The teacher puts \frac{1}{16} pound of clay at each workstation. The teacher sets up an equal number of workstations in each of two classrooms.
How many workstations does the teacher set up in each of the classrooms?
The teacher has set up 7 workstations in each classroom
Total pounds of clay = 7/8 pounds
Pound of clay put at each workstation = 1/16
Fractions: A numerical value that designates a portion of a whole is used to represent fractions. A fraction is a component or section taken from a whole, which can be any number, a certain amount, or an object.
Finding the number of workstations:
Number of workstations = Total clay available/Clay set up at each workstation
=(7/8)/(1/16)
=7/8*16/1
= 14 workstations
There are two classes in which these workstations are divided
so, each class will have 7 workstations
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Mark's soup recipe makes 10 servings and uses 4 carrots and 2 potatoes. Drag carrots and potatoes into the box to show how many Mark needs for 15 servings.
The number of carrots and potatoes that Mark will need for 3 servings will be 6 carrots and 3 potatoes.
How to illustrate the information?It should be noted that an expression is simply used to show the relationship between the variables that are illustrated.
From the information, Mark's soup recipe makes 10 servings and uses 4 carrots and 2 potatoes. Therefore, to make 5 servings, he will need half of the carrots and potatoes. This will be 2 carrots and 1 potatoe.
Therefore, to make 15 servings, the total needed will be;
= (4 + 2 carrots) as (2 + 1 potatoes)
= 6 carrots and 3 potatoes
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product of (-1.2x+5) and (5x)
Answer:
(5x)(-1.2x+5)
=-6x^2+25x
Step-by-step explanation:
two people start from the same point. one walks east at 4 mi/h and the other walks northeast at 5 mi/h. how fast (in mi/h) is the distance between the people changing after 15 minutes? (round your answer to three decimal places.)
The change in distance between the two after 15 minutes is 3.566 mi/h
Velocity is defined as the rate of change in displacement (distance) with time. It's a vector quantity so it has both magnitude and direction. Velocity is given by the formula:
Velocity = distance / time
If one walks east at 4 mi/h and the other walks northeast at 5 mi/h, then after 15 minutes, their distance are:
distance = velocity * time
distance₁ = 4 mi/h (15 mins)(1 hour/60 mins)
distance₁ = 1 mile east
distance₁ = 5 mi/h (15 mins)(1 hour/60 mins)
distance₁ = 1.25 mile northeast
Using trigonometric function and Pythagorean theorem, we can determine the distance between the two people. (Refer to the attached picture.)
d² = (1.25 sin 45°)² + (1.25 cos 45° - 1)²
d² = 0.795
d = 0.891 mi
After 15 mins, the distance is 0.891 mi and the change in distance in mi/h is
(0.891 mi / 15 mins)(60 mins / hour) = 3.566 mi/h
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Edge proof would be amazing and I will give brainliest for it!
Answer: The answer is B.
Step-by-step explanation: The scale on the y-axis could be changed to 100–120.
1756.18595945 to the nearest hundred-thousandth
The computation shows that 1756.18595945 to the nearest hundred-thousandth will be 1756.18596.
How to illustrate the information?After being rounded, the value of the hundred thousandth place, which is five places to the right of the decimal point, determines the value of the nearest ten thousandth of a decimal number, which is the value four places to the right of the decimal point.
The thousandth digit should be rounded down if the digit is less than 5. If that number is five or more, round it up to the nearest thousand. We must round up the thousandth digit because in the example given above, the digit following the thousandth digit (i.e., 9) is more than 5. This will give a value of 1756.18596.
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30 POINTS FOR THIS ANSWER IF ITS CORRECT NEED ASAP PLEASEEE
What does it mean to cube the number 18?
It means to find the cube root of 18.
It means to raise the number 18 to the exponent 2.
It means to find the square root of 18.
It means to raise the number 18 to the exponent 3.
Answer:x+y=36
xy=256
x=256/y
256/y + y = 36
256/y + y²/y = 36y/y
y² - 36y +256 = 0
use the quadratic formula to get 18+2√17 and 18-2√17.
Step-by-step explanation:
(4) During the day the temperature in Tom's greenhouse
increases from -5 °C to 5 °C. What is the rise in temperature?
(5) The temperature this morning was -6 °C. This afternoon, the
temperature dropped by 4 degrees. What is the new
temperature?
(6) Draw a number line from -5 to 5. Write down the integer that
is halfway between the two numbers in each pair below.
a. 1 and -5
b. 5 and 1
c. -3 and 5
d. -3 and -5
(7) The difference between two temperatures is 3 degrees.
One temperature is 2°C.
What is the other temperature?
T
-5
-4 -3 -2
-1
The Number Systems
4
5
Road
The values are (4) The value of rise in temperature is 10 °C, (5) The new temperature is -10 °C (6) halfway between the two numbers in each pair is -2, 3, 1, -4; (7) The other temperature is 1°C.
What is integer?Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The set of integers is frequently represented in mathematical notation by the boldface Z or blackboard bold math Z.
Given that,
Tom’s greenhouse temperature is increasing
(4) The temperature is increased from -5 °C to 5 °C
The temperature is raised by 10 °C
(5) The temperature this morning was -6 °C. This afternoon, the
temperature dropped by 4 degrees
The new temperature is -10 °C
(6) The integer that
is halfway between the two numbers in each pair below.
a. 1 and -5 is -2
b. 5 and 1 is 3
c. -3 and 5 is 1
d. -3 and -5 is -4
(7) The difference between two temperatures is 3 degrees.
One temperature is 2°C.
The other temperature is 1°C.
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Which symbol creates a true sentence when x = 6?
12 ÷ x + 2x ____ 12 ÷ (x + 2x)
Responses
=
>
A symbol that creates a true sentence for x = 6 is '>' i.e.,
12 ÷ x + 2x > 1 2 ÷ (x + 2x)
In this question, we have been given a statement 12 ÷ x + 2x ____ 12 ÷ (x + 2x)
We need to select a correct symbol that would create a true sentence when x = 6.
Consider an expression 12 ÷ x + 2x for x = 6.
= 12 ÷ 6 + 2(6)
= 2 + 12
= 14 ...................(1)
Consider an expression 12 ÷ (x + 2x) for x = 6
= 12 ÷ (6 + 2(6))
= 12 ÷ (6 + 12)
= 12 ÷ 18
= 0.67 ...................(2)
From (1) and (2),
14 > 0.67
Therefore, a symbol that creates a true sentence for x = 6 is '>'
i.e., 12 ÷ x + 2x > 1 2 ÷ (x + 2x)
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among 6 electrical components exactly one is known not to function properly. if 4 components are randomly selected, find the probability that at least one does not function properly.
The probability that at least one electrical components does not function properly is 83.3%
What is defined as the probability?Probability is simply the likelihood of something occurring.When we are uncertain about the result of an event, we can discuss the probabilities of various outcomes—how probably they are.To make the calculation easier, use the following property:
P(at the very least one) = 1 - P (None)
The total number of electrical components is 6.
Number that which not work well: 1
Number that works well: 5
We have options for selecting 4 good components from a set of 5 by;
⁵C₄ = 5
We have 4 options from a total of 6 components by;
⁶C₄ = 6
We have a way to do this if everything works properly; ¹C₀ = 1
P(at the very least one) = ⁵C₄× ¹C₀ /⁶C₄
P(at the very least one) = 5 / 6
P(at least one) = 0.833 = 83.3%
Thus, the probability that at least one of the electrical component will not function is 83.3%.
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Please help me with the question
Answer:it is x=24
because you cant divide a negative and negative to get a negative you will get a postive if you divide -24/-3 but 24/-3 is -8
Step-by-step explanation:
4 to the power of minus 1
Answer:
4^-1 = 0.25
Step-by-step explanation:
who if u watched big city greens the do this trivia 1. who is crickets sister 2. who is bills dad 3. who is the first friend cricket made 4. who is andromeda 5. who loves burger crown. 6. who is crickets partner in crime 7. who is the newest member of the green family 8. what was the greens main purpose of moving to grammas house 9. who is bills friend 10.why did nancy go to jail
Answer:
tilly
its remy on the 4th quesiton
cricket loves burger clown
officer keys
gloria who works at coffee shop
because bill was going to lose the farm back in the country
Good Ol' Joe
because she let the cows out of the stables
here is your answers
Archimedes drained the water in his tub.
The amount of water left in the tub (in liters) as a function of time (in minutes) is graphed.
How fast did the water drain?
Choose one answer:
A. 72 liters per minute
B. 74 liters per minute
C. 76 liters per minute
D. 78 liters per minute
Based on the amount of water in the tub that Archimedes is draining as a function of time, the rate that the water drains is A. 72 liters per minute
How to find the rate of water drainage?The speed that the water drained is the same as the slope of the line. That slope can be found by the formula:
= Change in y / Change in x
Pick two points from the line;
(0, 360) and (5, 0)
The slope is:
= (0 - 360) / (5 - 0)
= -360 / 5
= - 72
This means that every minute, Archimedes would have drained the water by 72 liters.
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Helpppppppppppppppppp
Answer:
see explanation
Step-by-step explanation:
a
the error she has made is in cancelling the values in the denominators.
When cancelling fractions, this is performed between values on the numerator with values on the denominator.
correct result is
[tex]\frac{1}{15}[/tex] × [tex]\frac{3}{5}[/tex] ( cancel the 3 and 15 by 3 )
= [tex]\frac{1}{5}[/tex] × [tex]\frac{1}{5}[/tex]
= [tex]\frac{1}{25}[/tex]
--------------------
b
as an estimate, multiply the numerators and denominators, that is
[tex]\frac{1(3)}{15(5)}[/tex] = [tex]\frac{3}{75}[/tex] = [tex]\frac{1}{25}[/tex]
Which points are solutions to the system of inequalities shown below?
Check all that apply.
y> x+1
y> 3
Xx<5
Answer:
.- El complemento de un ángulo nulo es el ángulo recto. 2.- El complemento de un ángulo recto es un ángulo nulo. 3.- El suplemento de un ángulo recto es otro ángulo recto. 4.- El suplemento de un ángulo obtuso sería lo que le falta para llegar a 180.
Step-by-step explanation:.- El complemento de un ángulo nulo es el ángulo recto. 2.- El complemento de un ángulo recto es un ángulo nulo. 3.- El suplemento de un ángulo recto es otro ángulo recto. 4.- El suplemento de un ángulo obtuso sería lo que le falta para llegar a 180.
Find the x- and y-
intercepts of the graph of
3
the linear equation
4
+x=
11/21.
x-intercept:
y-intercept:
F41
Answer:
(-3/4, 0) and (0, 3/2)
Step-by-step explanation:
The [tex]x[/tex]-intercept is when [tex]y=0[/tex].
[tex]\frac{3}{4}+x=0 \implies x=-3/4[/tex]
So, the [tex]x[/tex] intercept has coordinates [tex](-3/4, 0)[/tex].
The [tex]y[/tex] intercept is when [tex]x=0[/tex].
[tex]\frac{3}{4}=\frac{1}{2}y \implies y=3/2[/tex].
So, the [tex]y[/tex] intercept has coordinates [tex](0, 3/2)[/tex]
What percent of 16 is 10?
[?]%
Remember to write your answer in
percent form!
well, is really "x", now, if we take 16 to be the 100%, what is 10 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 16 & 100\\ 10& x \end{array} \implies \cfrac{16}{10}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{8}{5}=\cfrac{100}{x}\implies 8x=500\implies x=\cfrac{500}{8}\implies x=62.5[/tex]