Answer:
25x ≤ 100Step-by-step explanation:
[tex]x=4\\\\-25x>100\qquad\text{change the signs}\\25x<-100\qquad\text{divide both sides by 25}\\x<-4\qquad\bold{NOT}\to4<-4\qquad\bold{FALSE}\\\\-25x\geq100\qquad\text{change the signs}\\25x\leq-100\qquad\text{divide both sides by 25}\\x\leq-4\qquad\bold{NOT}\to4\leq-4\qquad\bold{FALSE}\\\\25x<100\qquad\text{divide both sides by 25}\\x<4\qquad\bold{NOT}\to4<4\qquad\bold{FALSE}\\\\25x\leq100\qquad\text{divide both sides by 25}\\x\leq4\qquad\bold{YES}\to4\leq4\qquad\bold{TRUE}[/tex]
Put the value of x = 4 to each inequality:
-25x > 100 → -25(4) > 100 → -100 > 100 FALSE
-25x ≥ 100 → -25(4) ≥ 100 → -100 ≥ 100 FALSE
25x < 100 → 25(4) < 100 → 100 < 100 FALSE
25x ≤ 100 → 25(4) ≤ 100 → 100 ≤ 100 TRUE
If point (a, b) is in the second quadrant, in what quadrant is (a,-b). (-a, b), (-a,-b), (b, a)
Point (a, -b) will be in the third quadrant, (-a, b) will be in the first quadrant, (-a, -b) will be in the fourth quadrant, and (b, a) will be in the fourth quadrant.
Explanation:
The original point (a, b) is in the second quadrant, which means the value of 'a' is negative and 'b' is positive. For the point (a, -b), the x-coordinate remains the same (negative) and the y-coordinate becomes negative, so this point will be in the
third quadrant
. For (-a, b), both the x and y coordinates change sign. The 'x' becomes positive and 'y' remains positive, landing this point in the
first quadrant
. For (-a, -b), both coordinates are positive, which puts this point in the
fourth quadrant
. Lastly, for (b, a), the 'x' coordinate is positive and 'y' coordinate is negative (since 'a' is negative), which means this point will be in the
fourth quadrant
as well.
Learn more about Quadrants in Cartesian Coordinate System here:https://brainly.com/question/8278191
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Points resulting from the transformation of (a, b) in the second quadrant lie in various quadrants based on their signs. (a, -b) is in the fourth quadrant, (-a, b) is in the third quadrant, and both (-a, -b) and (b, a) are in the first quadrant.
Given that point (a, b) is in the second quadrant, we need to determine the quadrants of the points (a, -b), (-a, b), (-a, -b), and (b, a).
(a, -b): Since a is positive and -b is negative, this point lies in the fourth quadrant.(-a, b): Here, -a is negative and b remains positive, placing this point in the third quadrant.(-a, -b): Both -a and -b are negative, so this point lies in the first quadrant.(b, a): With b positive and a positive, this point would fall in the first quadrant.To summarize, if the original point is in the second quadrant of the Cartesian coordinate system, the points (a, -b) is in the fourth quadrant, (-a, b) is in the third quadrant, (-a, -b) is in the first quadrant, and (b, a) is in the first quadrant as well.
Help pleaseeeeeeeeeeeeeeeeeee
The first equation
6x^2 -18x-24=0
-the graph opens up
6(x^2 -3x -4)=0
6(x^2 -3x +9/4-4-9/4)=0
6(x-3/2)-25x6/4=
6(x-3/2)-75/2
-Vertex is at (3/2, -75/2)
-Axis of symmetry is x=3/2
Second equation
3r^2 -16r -12=0
-the graph opens up
...
how much more is 1.8 • 10^11 greater than 7.2 • 10^10
Answer:
1.8.10=1.80000000000
7.2.10=7.2000000000
Step-by-step explanation:
[tex]To find out how much 1.8 * 10^11 is greater than 7.2 * 10^10, you can subtract the two values:(1.8 * 10^11) - (7.2 * 10^10)To simplify this expression, you need to have the exponents match. You can do this by rewriting 7.2 * 10^10 as 0.72 * 10^11:(1.8 * 10^11) - (0.72 * 10^11)Now, subtract the coefficients:(1.8 - 0.72) * 10^11Calculate the subtraction:1.08 * 10^11So, 1.8 * 10^11 is 1.08 * 10^11 greater than 7.2 * 10^10[/tex]
I need help with this problem
PLEASE HELP!
Answer:
D Buy at a local store where the item’s regular
price is $22.50 and it is on sale for 10% off.
Step-by-step explanation:
Which pattern folds into the triangular prism?
The letter choice is in the 2nd picture
Answer:
the answer will be the letter W
Step-by-step explanation:
Answer:
W
Step-by-step explanation:
Think about folding the two triangles up in W. You can then fold the outermost rectangles up to form a triangular prism.
Also, notice that the folded figure has two blue triangles and no other picture has two blue triangles besides W.
Surface area of prisms and cylinders
Answer:
12. 785.375 in^2
13. 20.666 in.
14. 9cm
Step-by-step explanation:
12. The surface area of a cylinder is given by the surface area of each end plus the surface area of the side:
Surface area = 2 π r^2 + 2 π r h
we know that r = diameter / 2 = 10in/2 = 5in
height = 20 in
Then:
Surface area = 2 π r^2 + 2 π r h = 2 π (5in)^2 + 2 π (5in) (20in) = 785.375 in^2
13. A rectangular prism has 2 ends and 4 sides. Opposite sides have the same area. The surface area is the sum of the areas of all six sides. Then we have:
Area=2b+ph
where:
b= area of a base = 6 in^2
p= perimeter of a base = 18 in
h= height of the prism
Area = 384 sqrt units
Solving for "h" we have:
Area=2b+ph -> h = (area - 2b)/p = 20.666 in
Then: Area= 20.666 in.
14. We know that the surface area of a cylinder is:
Surface area = 2 π r^2 + 2 π r h
Solving for "h" we have:
h = (Surface area - 2 π r^2)/ 2 π r
Where r = 4cm
Surface area = 326.73 cm^2
h = (Surface area-2πr^2)/2πr=(326.73 cm^2-2π(4cm)^2)/2π(4cm) = 9cm
h =9cm
HELP ME WITH THIS 60 POINTS,5-STAR RATING, AN THANKS AND MARKED AS BRANLIEST.
Answer:
30.) B
I wasn't able to figure 29 out as some of the tables are cut off.
Hope this helps you out!
You want to make a rectangular box, open at the top, by cutting the same size square corners out of a rectangular sheet of cardboard and then folding up the sides. The cardboard measures 11 in. by 14 in. What are the dimensions of the box that will have greatest volume if the possible corner cuts measure 1 in., 2 in., 3 in., or 4 in.?
Answer:
2 in.
Step-by-step explanation:
If we cut squares from all 4 corners and make it into a open rectangular box, the length of the square cut will become the height of the rectangular prism.
If we cut 1 inch side square:
The 11 inch side will become 11 - 2(1) = 9 and 14 inch side will become 14 - 2(1) = 12. Height is 1. So Volume would be 9 * 12 * 1 = 108
If we cut 2 inch side square:
The 11 inch side will become 11 - 2(2) = 7 and 14 inch side will become 14 - 2(2) = 10. Height is 2. So Volume would be 7 * 10 * 2 = 140
If we cut 3 inch side square:
The 11 inch side will become 11 - 2(3) = 5 and 14 inch side will become 14 - 2(3) = 8. Height is 3. So Volume would be 5 * 8 * 3 = 120
If we cut 4 inch side square:
The 11 inch side will become 11 - 2(4) = 3 and 14 inch side will become 14 - 2(4) = 6. Height is 4. So Volume would be 3 * 6 * 4 = 72
Hence, the greatest volume is when we cut 2 inch side square.
The answer is 2in hope this helps
Emilio's savings account had a balance of $621.96 at the end of July. During August, he made three savings account deposits of $83.11, $52.89, and $307.84 and one withdrawal of $129.00. At the end of August his account earned $11.50 in interest. Will Emilio meet his savings account goal of $1,000 by September 1st?
A
Yes, and he will have $51.70 more than expected.
B
No, and he would still need $51.70.
C
Yes, and he will have $77.30 more than expected.
D
No, and he would still need $77.30.
Answer:
B. He would still need 51.50
Step-by-step explanation:
First I added up all the deposits Emilio made
so: 621.96+83.11+52.89+307.84=1065.8
then i subtract 129 from the total (1065.8)
which equals 936.8 and I add the 11.5 interest.
which equals 948.3 which is 51.70 less than 1000. Therefore, Emilio still need 51.70 in order to meet his saving accounts goal.
Which number line represents the solution set for the inequality –(1/2)x ≥ 4?
When the sign is ≤ or ≥ (less/greater than or equal to), the dot is filled in.
When the sign is < or >, the dot is not filled in and looks like this o
To find out which number line represents the solution set, simplify the inequality and isolate x
[tex]-\frac{1}{2}x\geq4[/tex] Multiply -2 on both sides to get rid of -1/2
[tex](-2)(-\frac{1}{2}x)\geq4(-2)[/tex]
x ≤ -8 (The sign flips when you multiply/divide a negative number on both sides of the inequality)
so you get x is greater than or equal to -8, so you have a filled in circle on -8, and the arrow should be going to the right since x is greater than -8
answer : second choice / b
we have
-1/2x >_ 4
Solve the inequality
Multiply by both sides-----> remember change inequality sign
x<_ -4(2)
x<_ -8
the solution is the interval-----------> (-∞,-8]
using a graph tool
see the attached figure
the solution is the shaded area:
Order of operations
4^2×2^3-(14-16)÷2
Answer:
129Step-by-step explanation:
Use PEMDAS:
P Parentheses first
E Exponents
MD Multiplication and Division (left-to-right)
AS Addition and Subtraction (left-to-right)
[tex]4^2\times2^3-(14-16)\div2\\\\=16\times8-(-2)\div2\\\\=128+2\div2\\\\=128+1\\\\=129[/tex]
jerone has 2 ps4 and 3 xbox . a ps4 has 200 gigabytes and an xbox has 300. How many gigabytes of ram do each console have together
Answer:
500?
Step-by-step explaination
Wait don't you just add 200 and 300? Or is there some special equation for finding out gigabytes??
500 gigs.
Just add 200 + 300.
(I hope this question isn’t serious..)
Amanda wants to examine the eating habits of 100 random students at lunch to determine how many students eat in the cafeteria
Answer:
well she can count up the average amount of tables, and the average amount of students in the school, later determine how many kids sit at the tables, for example, if there's five tables, and in each table there are five students, round those up and you have 25 students, only Amanda's answer would be much higher depending on the school and cafeteria
Find the slope that is parallel to the equation 2x +3y 15
b) Find the slope that is perpendicular to the equation 2x + 3y 15
Answer:
a) -2
b) 1/2
Step-by-step explanation:
2x + y = 15 Subtract 2x from both sides
y = -2x + 15 The slope is -2
Parallel lines have the same slope.
Perpendicular lines have negative inverse slopes.
-2 flips to 1/2
steps to sloving -2(x+3)=-10
Answer:
x = 2Step-by-step explanation:
[tex]-2(x+3)=-10[/tex] divide both sides by (-2)
[tex]\dfrac{-2(x+3)}{-2}=\dfrac{-10}{-2}[/tex]
[tex]x+3=5[/tex] subtract 3 from both sides
[tex]x+3-3=5-3[/tex]
[tex]x=2[/tex]
Answer:
x = 2
Step-by-step explanation:
It is given an expression with variable x
-2(x + 3) = -10
To find the steps to solving expression
Le expression be,
-2(x + 3) = -10
-2x + (-2 * 3) = -10
-2x - 6 = -10
-2x = -10 + 6
-2x = -4
2x = 4
x = 4/2 = 2
Therefore x = 2
Five times the sum of a number and 3 equals 4?
Answer:
5 * (n+3) = 4
n = -11/5
Step-by-step explanation:
5 * (n+3) = 4
Distribute
5n +15 =4
Subtract 15 from each side
5n +15-15 = 4-15
5n = -11
Divide by5
5n/5 = -11/5
n = -11/5
solve using the substitution method x = 10 y = 2x- 6
Answer:
y=14
Step-by-step explanation:
y=2(10)-6
y=14
Three fourths through the soccer season,Gustafo has 24 goals.He averages 4 goals per game.How many more games will it take Gustafo to have at least 40 goals before the season is over?
Answer:=40
He needs 4 more games because 4*10
Step-by-step explanation:
Gustafo needs to score 16 more goals to reach 40 goals. Since he scores 4 goals per game on average, he will need 4 more games to reach his goal.
Explanation:To determine the number of games Gustafo needs to reach at least 40 goals, we first have to find out how many goals he still needs to score. Right now, Gustafo has 24 goals. So, 40 (the total number of goals he needs) - 24 (the goals he already has) = 16 goals he still needs to score.
Since Gustafo scores an average of 4 goals per game, we then divide the number of goals he still needs to score by his average goals per game to find out how many games it will take. So, 16 (goals needed) ÷ 4 (average goals per game) = 4 games. Thus, Gustafo needs to play 4 more games to reach at least 40 goals before the season is over.
Learn more about Score Calculation here:https://brainly.com/question/30759870
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how do you find the mean, median and range
for mean you add every number and divide it by the amount of numbers in the data set
for median you put the numbers in order and find the middle number, if there is no middle get the mean for the two middle numbers
range is basically the lowest and highest number
Answer:
Mean= Average
Median= Middle number after numbers are lined up in order
Mode= Repeated Number
Step-by-step explanation:
if the apothem is 13 square root 3 ft what is the area of the hexagon
Answer:
The area of the hexagon is [tex]1,014\sqrt{3}\ ft^{2}[/tex]
Step-by-step explanation:
we know that
The area of a regular hexagon is equal to
[tex]A=\frac{1}{2}Pa[/tex]
where
P is the perimeter
a is the apothem
Find the length side of the hexagon
Let
b-----> the length side of the hexagon
Remember that
The formula to calculate the length side given the apothem is equal to
[tex]b=\frac{2a}{\sqrt{3}}[/tex]
we have
[tex]a=13\sqrt{3}\ ft[/tex]
substitute
[tex]b=\frac{2(13\sqrt{3})}{\sqrt{3}}[/tex]
[tex]b=26\ ft[/tex]
Find the perimeter P
[tex]P=6b=6(26)=156\ ft[/tex]
Find the area of the hexagon
[tex]A=\frac{1}{2}(156)(13\sqrt{3})=1,014\sqrt{3}\ ft^{2}[/tex]
Why might Jules use a Credit Card rather than a check to make a purchase
He does not have enough money in his checking account
Answer:
B
Step-by-step explanation:
Answer Please!!!!!!!!!!!!!!!!!!!!!!!
Answer:
8/15 square inches
Step-by-step explanation:
Just multiply the 2 fractions to get the area.
A=L*W
A=area
L=length
W=width
Use what you know about domain to select all of the following functions that could be the one graphed.
Answer:
y1 = √x - 3
y2 = √x - 1
Step-by-step explanation:
To quickly solve this problem, we can use a graphing tool or a calculator to plot the equations.
Please see the attached image below, to find more information about the graph s
The equations are:
y1 = √x - 3
y2 = √x - 1
y3 = √(x+1)
y4 = √(3x-3)
Based on the image below, the possible choices would be
the functions
y1 = √x - 3
y2 = √x - 1
WILL GIVE BRAINLYEST Use the given information to write an equation of the circle.
center at (-7,-3), radius 2
Answer:
(x + 7)² + (y + 3)² = 4
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (- 7, - 3) and r = 2, so
(x - (- 7))² + (y - (- 3))² = 2², that is
(x + 7)² + (y + 3)² = 4
find the value of x that makes triangle LMN congruent to triangle NOL by SSS. A. 1 B. 2.3 C.6 D.7
Answer:
The correct answer is option C. 6
Step-by-step explanation:
It is given that, LMN congruent to triangle NOL by SSS
From the figure we can write, MN = LO
To find the value of x
we have, MN = LO
13x + 1 = 5x + 49
13x - 5x = 49 - 1
8x = 48
x = 48/8 = 6
Therefore x = 6
The correct answer is option C. 6
New coordinates are A(1,-2) b(4,6) and c(-2,3
Answer:
What do you mean "new coordinates"?
Step-by-step explanation:
Sorry just confused.
Which set of side length form a right triangle?
A) 3ft, 5ft, 6ft
B) 15ft, 39ft, 36ft
C) 7ft, 10ft, 26ft
D) 12ft, 13ft, 14ft
Please explain when you answer
B. 15ft, 36ft, 39ft
use pythagorean theorem
a²+b²=c²
225+1296=1521
51000 decreased by 6.4%
Answer:
47736
Step-by-step explanation:
First, subtract 0.064 from 1.000. You should get 0.936.
Second, multiply 51000 by this 0.936:
0.936(51000) = 47736
51000 decreased by 6.4% is 47736.
To find 6.4% of 51000 and then subtract that value from 51000, follow these steps:
First, calculate 6.4% of 51000.
This can be done by converting the percentage to a decimal and then multiplying:
6.4% = 0.064
0.064 × 51000
= 3264
Next, subtract this value from the original number:
51000 - 3264
= 47736
So, 51000 decreased by 6.4% is 47736.
Complete question:
What is the value of 51000 decreased by 6.4%?
PLEASE HELPPPP!!!!
given f (x)= -5x+1. what is f (-3)
Answer:
16
Step-by-step explanation:
f (x)= -5x+1.
Let x = -3
f(-3) = -5(-3) +1
=15 +1
= 16
Answer:
f(- 3) = 16
Step-by-step explanation:
To evaluate f(- 3) substitute x = - 3 into f(x)
f(- 3) = ( - 5 × - 3) + 1 = 15 + 1 = 16
Does each set of side lengths form a right triangle?
Answer: Read the explanation
Step-by-step explanation: (27+32)^2 does NOT equal 45^2, which means its not a right triangle.
(9+40)^2 DOES equals 41^2. Therefor making it a right triangle
Answer:
27ft, 32ft, 45ft : Not a Right triangle
9ft, 40ft,41ft: Right triangle
Step-by-step explanation:
45^2 (?) 27^2 + 32^2
2025 (?) 729 + 1024
2025 ≠ 1753; Not a Right triangle
41^2 (?) 9^2 + 40^2
1681 (?) = 81 + 1600
1681 = 1681 ; Right triangle