The integers in the set S that make the inequality false are 20 and 40, so the correct option is the third one.
Which elements in the set will make the inequality false?Here we have the following inequality:
(1/5)*(m - 5) ≤ (1/10)*(m - 20)
First, let's simplify the inequality:
(1/5)*(m - 5) ≤ (1/10)*(m - 20)
(10/5)*(m - 5) ≤ (m - 20)
2*(m - 5) ≤ (m - 20)
2m - 10 ≤ m - 20
2m - m ≤ -20 + 10
m ≤ -10
So the only solutions are the values of m that are equal to or smaller than -10.
And the set is {-40, "-10," 20, 40}, then the elements of that set that make the inequality false are 20 and 40 (both are larger than -10).
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A school club is raising money for a trip, and needs to reach $5,000. their fundraising progress is modeled by the equation: t = 350 + 750x, where x is measured in weeks. what is the meaning of the coefficient 750? question 13 options: it is the amount still to be raised. it is the amount they started with. it is the amount they raise each week. it is the amount left over.
Answer: It is the amount they raise each week
350 is the amount they started with
Find the area of quadrilateral CHIL as pictured above.
Check the picture below.
so we really have two twin triangles pretty much
[tex]\stackrel{\textit{area of both triangles}}{2\left[ \cfrac{1}{2}(\underset{b}{9})(\underset{h}{4}) \right]\implies \text{\LARGE 36}}[/tex]
1.7x10*4 x 8.5x10*-2
Answer: 1.7×10*4×8.5×10*-2= 1445
Step-by-step explanation:
The question must be written as follows:
1.7×10∧4×8.5×10∧-2=
(1.7×10000×8.5)÷100
=144500÷100=1445
I need help with this one
(q027) a recent study by pew (purcell 2011) found gendered differences in applications (apps) downloaded by men and women. men are more likely to download and use , whereas women tend to use more than men.
Men are more likely to download and use , but women use both sides of the brain while men only use the left for visual or spatial expression. So, There is a relationship between gender and intended major.
Based on the given conditions,
Differences in applications (apps) downloaded by men and women.
Men are more likely to download and use , whereas women tend to use more than men.
So,
We can write,
According to studies comparing the brain activity of men and women,
When performing language-related tasks, women's brains are more likely than men's to be engaged in the right hemisphere.Men express their emotions using the right side of the brain, whereas women use both sides.Women use both sides of the brain while men only use the left for visual or spatial expression.Although men tend to be more emotional than women, women often express and display their feelings the most, giving the impression that they are more emotionally sensitive than men.From the above question, we can see that most women in research positions want to use, while most men want to study download and use. From this we can conclude that there is a greater correlation between female gender and use (according to this study) than male gender and download and use . Therefore, the results of this study indicate that there is a relationship between gender and primary intentions.Therefore,
Men are more likely to download and use , but women use both sides of the brain while men only use the left for visual or spatial expression. So, There is a relationship between gender and intended major.
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i need help cuz im poopy dooky at math
Answer:
Reduction is correct
Scale factor is 0.5
Step-by-step explanation:
The distance from the point L to every point on the pink figure is 1/2 (0.5) times the distance from L to each of the corresponding points on the original figure
If scale factor < 1, it is a reduction
Kingsley needs to add two diagonal braces to a wall. The wall is 12m by 5m, what is the length of each brace?
Please show your work
Answer:
king need 12m by 5m 12×5 =
60
Step-by-step explanation:
look up and read
URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
Answer:
90 degree counter-clockwise
Step-by-step explanation:
Two airplanes are flying in the air at the same height. Airplane A is flying east at 200 mph and airplane B is flying north at 250 mph. If they are both heading to the same airport, located 30 miles east of airplane A and 40 miles north of airplane B, at what rate (in mph) is the distance between the airplanes changing?
The rate at which the distance between the airplanes is changing is;
dC/dt = 320 mi/h
We are given;
The Speed of Airplane A; dA/dt = 200 mi/h
The Speed of Airplane B; dB/dt = 250 mi/h
Aircraft A and B will form a right-angled triangle because Aircraft A is flying east and Aircraft B is flying north, and we can use Pythagoras' theorem to calculate their distance from one another.
Let C be the distance.
Therefore;
C² = A² + B²
Differentiating the above equation with respect to t,
2C(dC/dt) = 2A(dA/dt) + 2B(dB/dt)
Dividing each side of the equation by 2,
C( dC/dt ) = A( dA/dt ) + B( dB/dt )
Where dC/dt is the rate of change in distance between the two aircraft.
Now,
C² = A² + B²
C = √(A² + B²)
Substituting, A = 30 miles and B = 40 miles;
C = √(30² + 40²)
C = √( 900 + 1600 )
C = √2500
C = 50 miles
Substituting the value in the equation C( dC/dt ) = A( dA/dt ) + B( dB/dt ),
50(dC/dt) = (30 × 200) + (40 × 250)
50(dC/dt) = 6000 + 10000
50 × dC/dt = 16000
dC/dt = 16000/50
dC/dt = 320 mi/h
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the sum of -15 /37 and 7/32 is? ANSWER ASAP WILL GIVE BRAINLIEST
Find the area of a regular hexagon with an apothem 11.4 yards long and a side 13 yards pong. Round your answer to the nearest tenth.
Answer:
444.6 square yards.
Explanation:
• A regular hexagon is divided into 6 equilateral triangles.
,• The apothem is the height of each equilateral triangle.
,• The side length is the base of each triangle.
Thus, the area of the hexagon will be:
[tex]\begin{gathered} A=6\times\text{Area of one equilateral triangle} \\ =6\times\frac{1}{2}bh \\ =6\times\frac{1}{2}\times13\times11.4 \\ =444.6\text{ square yards} \end{gathered}[/tex]The area of a regular hexagon with an apothem 11.4 yards long and a side 13 yards is 444.6 square yards.
Evaluate the expression when m=16 and n=6. M+36/n
help write an expression for the area of the shaded part
Answer:
[tex][(5x+6)(3x)] - [(4x-3)(2)][/tex]
Step-by-step explanation:
Find the total area of the shape [tex](5x+6)(3x)[/tex]
And subtract the non-shaded area [tex](4x-3)(2)[/tex]
To get this equation:
[tex][(5x+6)(3x)] - [(4x-3)(2)][/tex]
A straight line has the equation y=5x-1
a. what is the equation of a parallel line with a y intercept of 4
b. what is the equation of a parallel line with a y intercept of -2
c. why will your answers to part a and b also be parallel
a. The equation of a parallel line with a y intercept of 4 is:
y=5x+4
b. The equation of a line parallel line with a y intercept of -2 is:
y=5x-2
c. Since they have same slope and different intercepts, so the answers to part a and b are also parallel.
a. Given, the given straight line equation is: y=5x-1 eq(1)
hence the slope of the line is m=5
The required line is parallel to (1) so its slope is also same.
m = 5 and the y intercept is 4.
By using y = mx + c form the equation of the required line is:
y = 5x+4
b. The given straight line equation is: y=5x-1 eq(1)
hence the slope of the line is m=5
The required line is parallel to (1) so its slope is also same.
m = 5 and the y intercept is -2.
By using y = mx + c form the equation of the required line is:
y = 5x-2
c. If two lines have different y-intercepts and equal slopes, then they are said to be parallel. Hence answers to part a and part b are said to be parallel.
Hence we get the desired equations.
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1,072 ÷ 16 = 67
Write a situation for this number model and draw a picture that goes with it.
Find all the factors of the given polynomial using synthetic division.
[tex]{x}^{2} + {6x}^{5} - {2x}^{4} - {60x}^{3} - {71x}^{2} + 54x + 72[/tex]
Solution:
Factor of 6x⁵ – 2x⁴ – 60x³ – 70x²+54x+72: are 2(x−1) (3x+2x³ – 28x² – 63x – 63)
What are the factors of polynomial?A polynomial with coefficients in a specific field or in integers is expressed as the result of irreducible components with coefficients in the same domain using polynomial factorization. The polynomials that are multiplied to create the original polynomial are the factors in the case of polynomials. For instance, (x + 2) (x + 3) are the elements of x2 + 5x + 6. The original polynomial is produced when we multiply both x +2 and x +3.
615 - 2x-60x³- 70x² +54 +72
Factor out common term 2:
2(3x⁵-x⁴-30x³ - 35x² +63)
Factor 3x⁵ - x⁴ - 30x³ – 35x²+63:
(x-1) (3x² + 2x³ — 28x² – 63x – 63) -
=2(x − 1 ) (3x⁴ + 2x³ – 28t² – 63x – 63)
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Identify the vertical angle to angle ADX.
Answer:bdf
Step-by-step explanation:
yes
I need to know the answer asp
In the given figure, BC is the Adjacent side. This is because the side is the closest side to the angle θ.
Using Trigonometry, we can also find out the measure of the ∠θ.
tan θ = opposite side / adjacent side
⇒ tan θ = 2/8 = 1/4
⇒ θ = tan^-1 (1/4)
⇒ θ = 0.245°
What is Trigonometry?The area of mathematics known as trigonometry studies how triangles' sides and angles relate to one another as well as how various angles might be used in useful ways. For determining the positions of the sun, moon, and stars, forecasting eclipses, and defining planet orbits, spherical trigonometry has been utilized for ages. To determine the distance to neighboring stars in the modern era, astronomers utilize the triangulation method. Satellite navigation systems also employ this method.By combining the laws of sines and cosines with these functions, it is possible to practically any queries concerning arbitrary triangles. When a triangle has two sides and an included angle or two angles and a side, these principles can be applied to determine the remaining angles and sides.As soon as two sides, their included angle, two angles, a side, or three sides are known, these principles can be used to calculate the remaining angles and sides of any triangle.
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If the distance between the bus terminus is 32 km, how much should
this distance be drawn on a 1:100000 scale plan?
The distance that should be drwan on a scale plan of 1:100000 is = 32m
What is distance?Distance can be defined as the area that is covered by the movement of an object without reference to its direction.
From the scale given,
1cm : 100000cm on the scale plan of the map
The given distance = 32km
Convert km to cm by multiplying by 100000
32km = 32× 100000 = 3,200,000
To determine the equivalent ratio,
1 cm = 100000
n cm = 3,200,000
n cm= 3,200,000/100000
n cm= 32cm
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Mandy created 2 patterns. She used the corresponding values in each pattern to make the coordinate pairs shown.
(1,0)
(3,2)
(11,10)
(14, 13)
What is the relationship between each x- and y-coordinate? Move numbers and symbols to the lines to make an equation.
y = x
2
3
8
11
The equation that represents the linear relationship between each x- and y-coordinate is: y = x - 2.
How to Create an Equation for a Relationship?For a linear relationship between x and y coordinate, an equation in slope-intercept form that can be created is expressed as y = mx + b.
"m" is the slope = change in y / change in x."b" is the y-intercept.Find the slope (m) using any two pairs of values, (1, 0) and (3, 2):
Slope (m) = (2 - 0)/(3 - 1)
Slope (m) = 2/2
Slope (m) = 1
Find the y-intercept by substituting m = 1 and (x, y) = (1, 0) into y = mx + b:
0 = 1(1) + b
0 = 2 + b
-2 = b
b = -2
Write the equation of the relation by substituting m = 1 and b = -2 into y = mx + b:
y = x - 2
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The relationship Mandy made with coordinate points is y = x - 1.
What is the x-y coordinate?an x-y coordinate is a 2D plane in which we can plot points of x and y together to make a coordinate. We can graph lines or any 2D figure using x-y coordinates.
We determine the relationship between x and y we'll go with the
hit-and-trial method.
At x = 1, y = 0.
At x = 11 , y = 10.
We can observe that y is one less than x, this can be represented as,
y = x - 1.
To cross-check out the equation can put given values of x and y and check whether it satisfies our equation or not.
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The cost of petrol rises by 2 cents a liter. last week dora the explorer bought 20 liters at the old price. This week she bought 10 liters at the new price. Altogether, the petrol costs $9.20. What was the old price for 1 liter?
The old price at which dora bought 20 liters of petrol is $0.30 per liter.
Given, dora bought 20 liters of petrol at old price.
The cost of petrol rises by 2 cents later.
Then she bought 10 liters at the new price.
Altogether the petrol costs = $9.20
old price for 1 liter = ?
let the old price for 1 liter of petrol be x.
Based on the conditions , we formulate:
20x+10(x+2)=920
20x+10x+20=920
30x+20=920
30x=920-20
30x=900
x=900/30
x=30
x=$0.30
hence the old price of the petrol is $0.30 per liter.
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Which fractions have the same value as -1/4A) -1/-4B) - -1/-4C) -1/4D) - -1/4E) 1/-4
Then, options C and E are correct
[tex]\frac{-1}{-4}=\frac{1}{4}[/tex]Then, option A isn't correct
[tex]-\frac{-1}{4}=\frac{1}{4}[/tex]Then, option D isn't correct
[tex]-\frac{-1}{-4}=-\frac{1}{4}[/tex]nits 5 and 6: Modeling Mania: Think 1 Question number 1 A scalene triangle has equal sides. I don't know
Explanation:
Scalene triangle has no side equal. Its angles are also not equal.
The three sides of scalene triangle are all differenet from one another.
5) If a || b and b | c, can you conclude that a || c? Explain
your reasoning and include a drawing to support your
answer.
Parallel lines are any two line pairs that do not overlap or come together at any point. Despite being on the same plane, these lines do not intersect. Lines or rays that share a plane but do not intersect are also considered to be parallel.
a || b and b || c then a || c.
ie. a || b || c
What are parallel lines?Lines in a plane that are consistently spaced apart are known as parallel lines. Parallel lines don't cross each other. Perpendicular lines are those that cross at a straight angle of 90 degrees.Parallel Lines' Slope Parallel lines have an equal slope. The slope of parallel lines is equal because they are all equally inclined with respect to the positive x-axis. If m1, m2 are the slopes of two parallel lines, then m1 = m2 is the result.Parallel lines are any two line pairs that do not overlap or come together at any point. Despite being on the same plane, these lines do not intersect. Lines or rays that share a plane but do not intersect are also considered to be parallel.
a || b and b || c then a || c.
ie. a || b || c
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0. Complete the statement: 0.6L mL
Answer:
600mL
Step-by-step explanation:
1 Milliliter = 0.001 L
Original Price: $20
Discount: 40%
Answer:
$12
Step-by-step explanation:
C0-starting price
C1-price after discount
P- precentage
C1=C0-P/100*C0
C1=20-40/100*20
C1=20-8
C1=12
Can someone help me solve this?
The sum of the first 26 terms for an arithmetic sequence is 1417.
The sum of the first 8 terms for the same arithmetic sequence is 76.
Find the value of the first term.
The value of the first term is - 8.
Given that:-
Sum of the first 26 terms for an arithmetic sequence = 1417.
Sum of the first 8 terms for the same arithmetic sequence = 76.
We have to find the value of the first term.
We know that,
Sum of first n terms of an AP is given by:-
S(n) = (n/2)(2a + (n - 1)d)
Where,
n is the number of terms,
a is the first term and,
d is the common difference.
Hence,
S(26) = 1417 = (26/2)(2a + (26 - 1)d) = 13(2a + 25d) = 26a + 325d
S(8) = 76 = (8/2)(2a + (8 - 1)d) = 4(2a + 7d) = 8a + 28d
Here we have two equations:-
26a + 325d = 1417 ...(1)
8a + 28d = 76 ....(2)
Multiplying (1) by 4 and (2) by 13 , we get
104a + 1300d = 5668
104a + 364d = 988
Subtracting and eliminating a , we get,
936d = 4680
d = 4680/936 = 5
Substituting d = 5 in (2), we get
8a + 28(5) = 76
8a + 140 = 76
8a = 76 - 140
8a = -64
a = -64/8 = -8
Hence, the first term is -8.
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Write an expression that would represent the number of bags of Reese’s( three more than the number of bags of lollipops)
Answer:
1
Step-by-step explanation:
i don;t know
Tell whether 18 is a solution of -13<5-x
x < 18 is the solution to the inequality -13 < 5 - x.
What is the solution to the given inequality?Given the inequality in the question;
-13 < 5 - xx = ?To solve the inequality, move all terms containing variable to the left side and the constant to the right side of inequality.
-13 < 5 - x
Add 13 to both sides
-13 + 13 < 5 + 13 - x
0 < 5 + 13 - x
Add 5 and 13
0 < 18 - x
Now, add x to both sides
0 + x < 18 - x + x
-x and x cancel out
0 + x < 18
x < 18
Therefore, the solution is x < 18.
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<1 is a complement of <2, and m<1=23. find m<2
The value of the angle m∠2 = 67°.
Angle may be defined as the space between two lines. An angle consists of a vertex with which the angle is extended. When sum of two angles is exactly 90°, they are called complementary angles. For example, if we have two angles a and b then, ∠a + ∠b = 90°. When sum of two angles is exactly 180°, they are called supplementary angles. For example, if we have two angles a and b then, ∠a +∠b =180°. According to the given question ∠1 is a complement of ∠2 and we know when two angles are complementary to each other sum of their angles is 90°. So,
m∠1 + m∠2 = 90°
Now, m∠1 = 23°
23° + m∠2 = 90°
m∠2 = 90° - 23°
m∠2 = 67° which is required angle.
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