Which number line shows the solution to the inequality? – 7x+3≥ – 18
The solution to the inequality is x ≥ 3
How to determine the solutionGiven the inequality;
– 7x + 3 ≥ – 18
To determine the solution , we take the following steps;
collect like terms
-7x ≥ - 18 - 3
Find the difference
- 7x ≥ - 21
Make 'x' the subject of the formula by dividing both sides by its coefficient, - 7
We have;
-7x / -7 ≥ - 21/ -7
x ≥ 3
Thus, the solution to the inequality is x ≥ 3
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6. What is the area in square feet of a 100 yard by 60 yard foot-
ball field?
Answer:
6000 [tex]yd^{2}[/tex]
Step-by-step explanation:
Take the length and multiply it by the width.
100 x 60 = 6000
Answer:6,000 yards
Step-by-step explanation:
100 yards x 60 yards = 6,000yards
?
5
Find the arc length of the semicircle.
Either enter an exact answer in terms of π or use 3.14 for π and enter your answer as a decimal.
units
Show Calculator
The length of the arc is calculated for the given semicircle as 15.7 units.
What exactly is a semicircle?When a circle is split in half it along diameter, a semicircle is formed. The 2 halves are the same size.A semicircle, also defined as a ½, is a folded circular sheet plate in half.The semicircle has one symmetry line, which is recognized as the reflection symmetry.The semicircle's arc everytime measures 180° because it is half of the a 360° circle.For, the given question.
The radius of the semicircle is 5 units.
The length of the arc of semicircle is equal to the perimeter of the semicircle.
The formula for perimeter;
P = πr
where, r is the radius and π = 3.14.
Put the values in the formula.
Perimeter = 3.14×5
Perimeter = 15.7 units.
Therefore, the length of the arc of the semicircle is 15.7 units.
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The mouth of a large river has a flow of fresh water, amounting to 5,500,000 cubic feet per second. How many cubic meters per second pour out of the mouth of this
river? (Use 1 foot 0.305 meter.)
The rate of discharge is 1,54,550 cubic meter/sec.
This is the problem related to conversion of units. We need to convert cubic feet into cubic meter here.
Also we know that 1 foot = 0.305 meter.
The rate of discharge of water is given as 5,500,000 cubic feet per second.
So, now to convert to cubic meter we need to divide the given rate by cube of 0.305.
Now discharge in cubic meter per second = [tex]5,500,000*(0.305)^{3}[/tex]
= [tex]5,500,000*0.028[/tex]
= 1,54,550 cubic meter/sec
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Write the first trigonometric function in terms of the second for in the given quadrant. (No theta symbol so used word)
sec(theta), tan(theta); theta in Quadrant IV
sec(theta) =
The expression of [tex] \mathbf{sec( \theta)}[/tex] in terms of [tex]tan( \theta)[/tex] in Quadrant IV is presented as follows;
[tex] sec( \theta) = \sqrt{{tan( \theta)}^{2} + 1} [/tex]
Which trigonometric identity can be used to express the required function?The given trigonometric functions are;
[tex]sec( \theta)[/tex]
[tex]tan( \theta)[/tex]
[tex] {sec( \theta)}^{2} = {tan( \theta)}^{2} + 1[/tex]
In Quadrant IV, the tangent of an angle is -ve, while the secant is +ve
However, the square of -ve is positive;
(-ve)² = +veTherefore;
[tex] \left({tan( \theta)}^{2} + 1 \right) \: is \: positive[/tex]
Which gives;
[tex] sec( \theta) = \sqrt{{tan( \theta)}^{2} + 1} [/tex]Learn more about regular trigonometric identities here:
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PLS HELP
The elevation of city A is 96 feet below sea level; the elevation of city C is 24 feet below sea level. The elevation of city D is 1 over 4 of the elevation of city C.
Part A: Write an expression to represent the elevation, in feet, of city D. (5 points)
Part B: Solve the expression and explain why the answer is negative or positive. (5 points)
HURRY PLS
(A) The expression to represent the elevation level of city D, in feet will be : [tex]D = \frac{1}{4} * [C][/tex]
(B) The elevation of city D will be -6 feet. The negative here shows that city D is below sea level.
In the question, it is given that city A is 96 feet below sea level, city C is 24 feet below sea level, and the elevation of city D is 1 over 4th of the elevation of C. Since, City A & C are both below sea level their elevation will be negative. So, by these we get elevations:
For City A, A = -96
City C, C = -24
City D, [tex]D = \frac{1}{4} *[C][/tex] ----> Equation (1)
By Equation (1) we get the representation of elevation for City D.
Now, Calculating the elevation of city D, we will put the value of city C in equation (1).
=> [tex]D = \frac{1}{4} *[-24][/tex]
=> [tex]D = -6\\[/tex]
The negative sign here shows that the elevation is below sea level for city D.
Hence, the expression representing the elevation of city D will be [tex]D = \frac{1}{4} * [C][/tex] and, the elevation of city D will be -6.
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For runners in a race it is more desirable to have a high percentile for speed. A high percentile means a higher speed which is faster. 40% of runners ran at speeds of 7.5 miles per hour or less (slower). 60% of runners ran at speeds of 7.5 miles per hour or more (faster).
A scalar quantity, speed is defined as the size of the change in an object's or particle's location over time or the size of the change in an object's position per unit of time.
In statistics, a percentile (or centile) is a metric that expresses the value at or below which a specified percentage of observations in a collection of observations fall. The value (or score) below which 20% of the observations may be found is called the 20th percentile, for instance.
A higher percentile for speed is preferable for runners in a race. A high percentile indicates a faster, greater speed.
40% of athletes completed their runs at 7.5 mph or less (slower). 60% of athletes covered at least 7.5 miles per hour (faster).
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❌❌PLEASE HELPILL MARK BRAINLIEST❌❌❌Does coordinate m or coordinate n represent a greater number in the following parallelogram?
(0,1)
Choose 1 answer:
B
(3,5)
m
n
(m, n)
(10,5)
Answer:
m will be the right answer
Solve this problem please.
∑ Hey, shadowwolf9764 ⊃
Answer:
1.52545155993
Round if needed: 1.53
Step-by-step explanation:
Given:
[tex]\frac{0.128\div 3.2+0.86}{\frac{5}{6}\cdot 1.2+0.8}+\frac{\left(1\:\frac{32}{63}-\frac{13}{21}\cdot 3.6\right)}{0.505\cdot \frac{2}{5}-0.002}[/tex]
Solution:
Convert Mixed Number to a improper fraction:
[tex]1\frac{32}{63}=\frac{95}{63}[/tex]
Now we have;
[tex]=\frac{\frac{0.128}{3.2+0.86}}{\frac{5}{6}\cdot \:1.2+0.8}+\frac{95}{63}[/tex]
Solving the first part:
[tex]\frac{\frac{0.128}{3.2+0.86}}{\frac{5}{6}\cdot \:1.2+0.8}=\frac{0.128}{7.308}[/tex]
Then we have;
[tex]=\frac{0.128}{7.308}+\frac{95}{63}[/tex]
Least common factor: 460.404
[tex]=\frac{8.064}{460.404}+\frac{694.26}{460.404}[/tex]
Now using this formula: [tex]\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]
[tex]=\frac{8.064+694.26}{460.404}[/tex]
Adding the numbers:
[tex]=\frac{702.324}{460.404}[/tex]
Next divide the numbers:
[tex]1.52545155993[/tex]
Hence, the answer is:
[tex]1.52545155993[/tex]
Round if needed:
[tex]1.53[/tex]
xcookiex12
9/4/2022
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Hey bestieee!!!
What is a^2 + 3b
When a = 2
And b = 3
Answer:13
Step-by-step explanation:(2)²+3(3)=4+9=13
Answer:
2a^n+ 3b
Differentiate w.r.t a
2na^n - 1
= 13
Use the formulas developed in the this section to find area of the figure.
A=s^2
A=___ yd^2
The area of the figure is 22.785 square yards
How to find the area of the figure?The figure is a triangle, and it has the following properties
Base = 9.3 yards
Height = 4.9 yards
The area of the figure is calculated as
Area = 0.5 * Base * Height
So, we have
Area = 0.5 * 9.3 * 4.9
Evaluate
Area = 22.785
Hence, the area of the figure is 22.785 square yards
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f(x) =2x | g(x)=-8x+2 | h(x)=x^2+x+3
Find f(g(6))
Find g(h(-4))
Find g((f)x)
With how you solved it please! (Will give first correct answer brainliest
Step-by-step explanation:
f(x) = 2x
g(x) = -8x + 2
h(x) = x² + x + 3
= f(g(6))
= 2x
= 2.(-8x + 2)
= 2.(-8.6 + 2)
= 2.(-48 + 2)
= 2.(-46)
= -92
= g(h(-4))
= -8x + 2
= -8.(x² + x + 3) + 2
= -8.((-4)² + (-4) + 3) + 2
= -8.(16 - 1) + 2
= -8.15 + 2
= -120 + 2
= -118
= g(f(x))
= -8x + 2
= -8.(2x) + 2
= -16x + 2
Fill in the blanks. (5 x 3) x __) a b 4x( x 9) = 72 C 7x (2x __) = 42 d (_____________× 5) x 5 = 75 x __) = 27 e (3 x 3) x = 60
The solution to each division problem is;
1) 4
2) 2
3) 3
4) 3
5) 3
1) We are given the expression;
(5 * 3) * ___ = 60
To get the blank answer, we will divide both sides by (5 * 3) to get;
60/(5 * 3) = 4
2) We are given the expression;
4 *( ___ * 9) = 72
To get the blank answer, we will divide both sides by (4 * 9) to get;
72/(4 * 9) = 2
3) We are given the expression;
7 * (2 * ___) = 42
To get the blank answer, we will divide both sides by (7 * 2) to get;
42/(7 * 2) = 3
4) We are given the expression;
(___ * 5) * 5 = 75
To get the blank answer, we will divide both sides by (5 * 5) to get;
75/(5 * 5) = 3
5) We are given the expression;
(3 * 3) * ___ = 27
To get the blank answer, we will divide both sides by (3 * 3) to get;
27/(3 * 3) = 3
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Directions: Write the following in set-builder notation. Input your answer inside the box provided for each given. Do not put a space in between symbols in your answer. Follow the format of the given example below.
1. A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
2. E is the set of letters in the word “notation”.
Answer:
1. A = {x:x is the set of natural number <= 10}
2. E = {x:x is the set of natural number <= 8}
100 more than 365 is equal to 65more then
Answer:
x = 400Step-by-step explanation:
100 more than 365 is equal to 65more then
we can solve with an equation
100 + 365 = 65 + x
100 + 365 - 65 = x
465 - 65 = x
400 = x
------------
check
100 + 365 = 65 + 400
465 = 465
the answer is good
(2+i)-(5-4i)
Find the difference of the following expression
Answer:
-3 + 5i
Step-by-step explanation:
We can remove the parentheses
2 + i - 5 + 4i
Collect the like terms and do the math
-3i + 5i
I need help
What is x/10 = 4
Answer:
40
Step-by-step explanation:
another answer to something elsse it might help Solve for x x-4=10. x − 4 = 10 x - 4 = 10. Add 4 4 to both sides of the equation. x = 10+ 4 x = 10 + 4. Add 10 10 and 4 4. x = 14 x = 14.
Answer:X=40
Step-by-step explanation:
Geometry study guide help? I will give brainliest.
Algebra 1 > J.7 Solve linear equations: complete the solution EVP
Complete the process of solving the equation.
Fill in all missing terms and select all missing descriptions. Simplify any fractions.
11d4 14 = -7
11d 18 = -7
Submit
11d =
d =
Subtract 4 from both sides
Add 4 to both sides
Subtract 4 from both sides
Work it
392,153 rounded to the nearest hundred thousand
Answer:
Step-by-step explanation:
400,000
Convert 10.6% to a fraction in the lowest terms.
10.6% is equivalent to 1/9.43 as a fraction in the lowest terms.
To convert 10.6% to a fraction in the lowest terms, we divide the percentage by 100 and simplify if necessary.
10.6% can be written as 10.6/100.
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 10.6 in this case.
10.6/100
= (10.6 ÷ 10.6) / (100 ÷ 10.6)
= 1/9.43
Since 1 and 9.43 do not share any common factors other than 1, the fraction 1/9.43 is already in its lowest terms.
Therefore, 10.6% is equivalent to 1/9.43 as a fraction in the lowest terms.
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There are 496 black sedans in the parking lot and 640 non-black sedans in the parking lot. What is the ratio of non-black sedans to black sedans
Answer: the ratio is 1.13
Step-by-step explanation:
The ratio of non-black sedans to black sedans is 40/31, as of the given condition.
What is the Ratio?The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
The total number of sedans in the parking lot is,
496 black sedans + 640 non-black sedans = 1136 sedans.
The ratio of non-black sedans to black sedans can be found by dividing the number of non-black sedans by the number of black sedans:
Ratio = 640 non-black sedans / 496 black sedans
Ratio = 640/496
Ratio = 40/31
So, the ratio of non-black sedans to black sedans is 40/31.
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Find an equation of a line that is perpendicular to 5X minus Y equals one and is located search that the area of the triangle formed by this line in the ex and Y axis is equal to five
The equation of a line is y = [tex]\frac{-x}{5}[/tex] ± √2.
What is an equation of a line?The set of points that make up a line in a coordinate system are represented algebraically by a line's equation.The slope of the line and a point on the line can be used to create the equation of a line.The slope of the line, which can be stated as a numeric integer, fraction, or tangent of the angle it forms with the positive x-axis, is the line's inclination with respect to the positive x-axis. The coordinate system's point with the x coordinate and the y coordinate is referred to as the point.Given Line : 5x - y = 1
slope of line = [tex]\frac{-5}{-1}[/tex] = 5
product of slopes of two perpendicular lines is - 1.
m₁ × 5 = -1
slope of required line m₁ = [tex]\frac{-1}{5}[/tex]
Let the equation of the required line be
y = mx + c where m is slope
y = [tex]\frac{-x}{5}[/tex] + c
Area of the triangle formed by a line with intercepts a,b = [tex]\frac{1}{2} ab[/tex]
Here, x-intercept = 5c
y-intercept = c
Area of triangle = [tex]\frac{1}{2} (5c)(c)[/tex]
=[tex]\frac{5c^{2} }{2}[/tex]
Given area = 5
⇒ [tex]\frac{5c^{2} }{2}[/tex] = 5
⇒ c² = 2
⇒ c = ±√2
Hence, The equation of a line is y = [tex]\frac{-x}{5}[/tex] ± √2.
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orentation.
2. Construct Arguments Triangle L'M'N' is the
image of triangle LMN after a translation. How
are the side lengths and angle measures of the
triangles related? Explain.
A coordinate system is geometry is a system that employs one or more integers, or coordinates, to define the position of points. The rules that maps the other vertices of the figure to their images is T<-2, -7> (x,y).
What are coordinates?
A coordinate system is geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
Given that Sanjay determined that one vertex of a figure was mapped to its image by translating the point 2 units left and 7 units down.
In order to translate coordinates, 2 units left we need to subtract 2 units from the x-coordinate of the point, while to translate the point 7 units down we need to subtract 7 from the y-coordinate of the point.
Therefore, the rule that maps the other vertices of the figure to their images is, (x¹,y¹)=(x-2,y-7), or it can bse written as T<-2,-7> (x, y),
where x¹ and y¹ are the coordinates of the points after transliteration.
Hence, the rule that maps the other vertices of the figure to their images is T<-2,-7> (x, y,).
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Malcolm got his first job. His wage in his first year was $8.65 an hour. In year 2, it was raised to $10 an hour. What was the percent increase in his hourly wage between year 1 and year 2
O 15.61%
O 13.5%
O 1.35%
O 0.16%
The percentage increase is the ratio of value increased to the original value and multiplied by 100.
The percentage increase in his hourly wage between year 1 and year 2 is 15.61%.
Option A is the correct answer.
What is a percentage increase?The percentage increase is the ratio of value increased to the original value and multiplied by 100.
It is expressed in percentage.
If there is an increase in the value of anything, then there is an increase in percentage.
We have,
Wage in the first year per hour = $8.65
Wage in the second year per hour = $10
The percentage increase in hourly wage:
= [ (10 - 8.65) / 8.65 ] x 100
= ( 1.35 / 8.65 ) x 100
= 15.6069 %
= 15.61 %
Thus the percentage increase in his hourly wage between year 1 and year 2 is 15.61%.
Option A is the correct answer.
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Write the solution set in interval notation and graph the inequality
{[tex]{x|2\ \textless \ X\leq 7[/tex]}
The solution set of the given inequality i.e.{x ; 2<x≤7} is (2,7].
Given that a inequality y={x ; 2<x≤7} and asked to find the solution set for the given inequality and plot graph according to that
⇒ y={x ; 2<x≤7} i.e domain=(2,7].
⇒y=x ∀ x ∈ (2,7]
The solution of the given inequality is x ∈ (2,7].
Therefore,The solution set of the given inequality i.e.{x ; 2<x≤7} is (2,7].
Graph: image attached
y=x ∀ x ∈ (2,7] is plotted {open at (2,0) and close at (7,0)}
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a restaurant offers a $12 dinner special that has 7 choices for an appetizer, 10 choices for an entrée, and 3 choices for a dessert. How many different meals are available when you select an appetizer, an entrée, and a dessert?
a meanl can be chosen __ ways
a meal can be chosen is 546 different ways.
What is the decimal rule?
1.2 x (-5) = ?
I got -60 but it’s saying it’s the incorrect answer and I’m not sure what I’m doing wrong.
Answer:
-6
Step-by-step explanation:
1 x -5 is still -5, and the do .2 x -5 = -1 -1+-5= -6
= How many gallons of a 60% antifreeze solution must be mixed with 60 gallons of 30% antifreeze to get a mixture that is 50% antifreeze?
Answer:
120
Step-by-step explanation:
60 gallons of 30% antifreeze means there are 18 gallons of antifreeze.
Let the number of gallons of 60% antifreeze be x. Then,
[tex]\frac{0.6x+18}{x+60}=\frac{1}{2} \\ \\ 1.2x+36=x+60 \\ \\ 0.2x=24 \\ \\ x=129[/tex]
There are 2 triangles and 8 circles. What is the simplest ratio of triangles to total shapes?
Answer:
1 : 5
Step-by-step explanation:
Circles + Triangles = Total shapes
8 + 2 = 10
Number of triangles : Total shapes
2 : 10
Both can be divided(simplified) by 2
= 1 : 5
Hope this helped! ^^
