Answer:
A
Step-by-step explanation:
since the shaded area is before x=-3 and x=-3 is a dashed line, x<-3 is the answer for x. That knocks out half the answers. the slope intercept form for the other line is y=-x-1. The answer with the slope as y would be the answer for the second half. A has both answers correct. (sorry for bad explaination, I am not a native speaker)
Figure ABCD is a trapezoid. Find
the value of x.
B.
3x + 2
C
13
4x + 3
А"
D
X= [?]
Answer: 3
Step-by-step explanation:
Round 30.425 to the nearest tenth.
Answer:
30.4
Step-by-step explanation:
30.425 rounded to the nearest tenth will be 30.4
When rounding to the nearest tenth, we have to see if the hundredths place and thousands place are 0.050 or greater.
If they are, then the tenths place will round up.
In this case, it is only 0.025, so we will keep the tenths place of 30.4
So, the answer is 30.4
Six consecutive numbers added up to a total of 45 what is the highest of these numbers
Answer:
11......
Step-by-step explanation:
Just figured what numbers fit..
Do it in my head
The highest number is 10.
Let the numbers be a, a+1, a+2, a+3, a+4 and a+5.
Then, we will add all the numbers and equate them to 45. This will be:
a + (a + 1) + (a + 2) + (a + 3) + (a + 4) + (a + 5) = 45
6a + 15 = 45
Collect like terms
6a = 45 - 15
6a = 30
a = 30/6
a = 5
Smallest number = 5
Then, the largest number will be:
a + 5
Since a = 5
a + 5 = 5 + 5 = 10
In conclusion, the highest number is 10.
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Answer:
72 degrees
Step-by-step explanation:
let the ratio be 2x and 3x
2x + 3x =180° ( co interior angles )
5x = 180°
x = 180 ÷ 5
x = 36°
And the smaller angle = 2 × 36° = 72°
Find the roots of the equation below.
x2 - 6x + 12 = 0
-3 ± √3
3 ± √3
-3 ± i√3
3 ± i√3
Answer:
[tex]\displaystyle x = 3 \pm i\sqrt{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
FactoringStandard Form: ax² + bx + c = 0Quadratic Formula: [tex]\displaystyle x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]Algebra II
Imaginary Numbers: √-1 = iStep-by-step explanation:
Step 1: Define
x² - 6x + 12 = 0
Step 2: Identify Variables
Compare the quadratic to standard form.
x² - 6x + 12 = 0 ↔ ax² + bx + c = 0
a = 1, b = -6, c = 12
Step 3: Find Roots
Substitute in variables [Quadratic Formula]: [tex]\displaystyle x=\frac{-(-6)\pm\sqrt{(-6)^2-4(1)(12)}}{2(1)}[/tex][Quadratic Formula] Simplify: [tex]\displaystyle x=\frac{6\pm\sqrt{(-6)^2-4(1)(12)}}{2(1)}[/tex][Quadratic Formula] [√Radical] Evaluate exponents: [tex]\displaystyle x=\frac{6\pm\sqrt{36-4(1)(12)}}{2(1)}[/tex][Quadratic Formula] [√Radical] Multiply: [tex]\displaystyle x=\frac{6\pm\sqrt{36-48}}{2(1)}[/tex][Quadratic Formula] [√Radical] Subtract: [tex]\displaystyle x=\frac{6\pm\sqrt{-12}}{2(1)}[/tex][Quadratic Formula] [√Radical] Factor: [tex]\displaystyle x=\frac{6\pm \sqrt{-1} \cdot \sqrt{12}}{2(1)}[/tex][Quadratic Formula] [√Radicals] Simplify: [tex]\displaystyle x=\frac{6 \pm 2i\sqrt{3}}{2(1)}[/tex][Quadratic Formula] [Fraction - Denominator] Multiply: [tex]\displaystyle x=\frac{6 \pm 2i\sqrt{3}}{2}[/tex][Quadratic Formula] [Fraction - Numerator] Factor: [tex]\displaystyle x=\frac{2(3 \pm i\sqrt{3})}{2}[/tex][Quadratic Formula] [Fraction] Divide: [tex]\displaystyle x = 3 \pm i\sqrt{3}[/tex]WHAT IS THE PRUDTUCT OF 7\9 AND 6 A. 1 4/9 B. 3 7\9 C. 4 2\3 D. 7 5\7
Answer:
C.
Step-by-step explanation:
What is the equation for the volume of a Cylinder? And a can of baked beans is 11cm by 3.5cm, a can of soda pop is 13cm by 4cm. What is the difference between the volume of the baked beans and the volume of the soda pop? Please explain using math vocabulary, and how you solved this problem.
Answer:
volume = (Pi)(r^2)(height)
57.5 cm^3 difference in volume
Step-by-step explanation:
Assuming that the 3.5 cm and the 4 cm are diameters of the cans:
The radius of the baked beans can is one-half of the diameter and that would be 1.75 cm.
The radius of the soda can is one-half of the diameter and that would be 2 cm.
The formula for the volume of a cylinder is Pi times the radius squared times the height. (Pi)(r^2)(height)
Baked beans volume equals (3.14)(1.75^2)(11) = (3.14)(3.06)(11) = 105.78 cm^3
Soda can volume equals (3.14)(2^2)(13) = (3.14)(4)(13) = 163.28 cm^3
The soda can has more volume so:
163.28 cm^3 minus 105.78 cm^3 equals 57.5 cm^3 difference in volume.
8 more than twice a number is greater than negative 18. Solve the inequality for the unknown number.
Answer:
x > -13
Step-by-step explanation:
Let x be the number
2x+8 > -18
Subtract 8 from each side
2x+8-8 > -18-8
2x> -26
Divide each side by 2
2x/2 > -26/2
x > -13
Answer:
x > -13
Step-by-step explanation:
Let x be the number
2x+8 > -18
Subtract 8 from each side
2x+8-8 > -18-8
2x> -26
Divide each side by 2
2x/2 > -26/2
x > -13
Solve this please! 25 points! (Include properties used)
Answer: their is no solution to this problem
Step-by-step explanation:
increase 2 hour 30 minute by the ratio of 6:5
Answer:
we get 180 minutes; this is equivalent to 3 hours
Step-by-step explanation:
Solving this problem is easier if we convert 2 hr 30 min to min: 150 min.
In the ratio 6:5, the 5 represents the 150 min and we need to determine how long the time interval will be if increased in this ratio.
We write and solve an equation of ratios:
6 x
--- = ------ This becomes 5x = 900 through cross multiplication.
5 150
solving this for x, we get 180 minutes; this is equivalent to 3 hours.
The time taken should be 180 minutes or 3 hours.
Calculation of the time taken:
Since there is an increase of 2 hours 30 minutes by the ratio of 6:5
So here we convert 2 hr 30 min so it comes 150 min.
Now the time taken should be
5x = 900
x = 150 minutes
hence, The time taken should be 180 minutes or 3 hours.
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-7x + 12x – 6 = 9
how do i solve this and awnser?
Step-by-step explanation:
3 is the answer
-7x+12x-6=9
when -6 goes to other side it becomes +6
-7x+12x=9+6
5x=15
when 5x which means 5 multiplied to x . When 5 goes other side it becomes division
x=15÷5=3
x=3
Mike bought 46 dozen eggs from the grocery store to bake some cakes how many eggs did mike buy
Answer:
552 eggs
Step-by-step explanation:
A dozen is equal to 12
Solve:
Multiply 46 by 12
suppose that rectangle ABCD is dilated to A'B'C'D using the origin as the center and a mangnitude of 2. What are the coordinates of C'?
Answer:
-8,-8
Step-by-step explanation:
Hope u get it right! :D
A playground is 45 feet wide
convert the wind to yards
on a nice day there are 90% of children playing outside during recess. if there are 150 children how many of them are playing outside
Answer:
150.9 ?
Step-by-step explanation:
Someone plz help been stuck on this question for the last 2 hours
Paul has $30,000 to invest. His intent is to earn 11% interest on his investment. He can invest part of his money at 7% interest and part at 13% interest. How much does Paul need to invest in each option to make a total 11% return on his $30,000?
7% interest =$?
13% interest =$?
Answer:
7% interest = $10000
13% interest = $20000
Step-by-step explanation:
Let the amount invested at 7% interest be x.
Let the amount invested at 13% interest be y.
Thus;
x + y = 30000 - - - (eq 1)
We want to find out how much Paul needs to invest in each option to make a total 11% return on his $30,000.
Thus;
0.07x + 0.13y = 0.11(30000)
Multiply through by 100 to get rid of the decimal;
7x + 13y = 0.11(30000 × 100).
7x + 13y = 330000 - - - (eq 2)
From eq 1, x = 30000 - y
Put this for x in eq 2 to get;
7(30000 - y) + 13y = 330000
210000 - 7y + 13y = 330000
6y = 330000 - 210000
6y = 120000
y = 120000/6
y = $20000
x = 30000 - 20000
x = $10000
Thus;
Amount invested at;
7% interest = $10000
13% interest = $20000
solve for x 0°<x<360
3cos2x +sinx=1
Step-by-step explanation:
3cos2x +sinx=1
3(1-2sin²x)+sinx=1
3-6sin²x+sinx=1
sinx(-6sinx+1)=1
either
sinx=1
sinx=sin(90)
:.x=90
or
-6sinx+1=1
-6sinx=1-1
sinx=0/-6
sinx=sin0,sin180
:.x=0,180and90
What is the length of the missing leg in this right triangle?
A right triangle has a side with length 7 millimeters and hypotenuse with length 25 millimeters.
18 mm
24 mm
26 mm
32 mm
Answer:
24mm
Step-by-step explanation:
I did the test and got it right
hope this helps :)
Answer:
B)24mm
Step-by-step explanation:
got it right edge 2021
how do I solve the question 3/4+1/2
Answer: 1 1/4
Step-by-step explanation:
Find the distance travelled by a vehicle in 10 seconds when it travels at the uniform speed of 72kmh
Answer:
If the initial velocity being is a straight line, and the final velocity being 0 km/hr, or o m/s, then:
v(final) = v(initial) + at
0 = 72 Km/h + (-=a * 10 s)
- a * 10 s = 72 km/hr * hr/3600s * 1000m/km = 20m/s
a = - (20 m/s) / (10 s)
a = - 2 m/s^2
That’s 2 m/s^2.
Step-by-step explanation:
Please give thanks to all my answers and please mark as brilliant and please follow me
Step-by-step explanation:
Formula : distance=speed×time
time.= 10s = 10÷60÷60= 1/360h
speed = 72km/h
distance = 72×1/360 = 0.2km
In a store the number of dogs is 12 times greater than 3 times of cats. If there are 21 dogs in the store, how many cats are in the store?
Answer:
If you really meant that the number of dogs is 12 greater than 3 times the number of cats then:
3 cats
Step-by-step explanation:
21= number of dogs
c = number of cats
21 = 12 + (3c)
3c = 9
c = 3
Figure A is original and Figure B is the copy.
Answer:
scale factor = 3.5; missing side = 17.5 cm
Step-by-step explanation:
see attached image
HELP PLEASEEEE
The larger of two number is ten more than three times the smaller number The sum of the two numbers is fifty four
Answer:
hasta no se pero nimodoa esta bien adiós baybau
Chau bought 28 pounds of flour for $12.
How many dollars did he pay per pound of flour?
Answer:
Step-by-step explanation: 28 divided by 12 = $2.33 per pound of flour.
Simplify: (3x - 4x^2 + 8x^3) + ( - 6x + 2x^4 - 5x^2)
Answer:
−x(3−9x+8x^2+2x^3)
That's the answer simplified. Not simplified is −3x−9x^2+8x^3+2x^4
Step-by-step explanation:
chase travel 192 miles in 16 hours on his inline skates .What is his unit rate in milees per hour
Answers
a 1 mph
b 0.083
c 12 mph
d 24 mph
In a study published in the American Psychological Association's Journal of Personality and Social Psychology, 227 college students were asked to rate their level of aggression and indicate their level of exposure to video game violence. The study found that students who reported playing more violent video games engaged in more aggressive behavior. Which of the following conclusions can you make on the basis of this study?
a. There is no relationship between violent video games and aggression.
b. Nonviolent video games make students less aggressive.
c. Playing violent video games is associated with more aggressive behavior.
d. Violent video games make students more aggressive.
Answer:
c. Playing violent video games is associated with more aggressive behavior.
Step-by-step explanation:
This question is solved interpreting the text.
The study found that students who reported playing more violent video games engaged in more aggressive behavior.
The conclusion that it leads is that violent video games is associated with more agressive behavior. Keyword is associated, and the correct answer is given by option c.
The conclusion that can you make on the basis of this study is: c. Playing violent video games is associated with more aggressive behavior.
What is a Conclusion?A conclusion refers to the final understanding that can be reached on a matter based on the findings in the study.
The findings from this study indicate that students who were exposed to violent video games had the tendency of becoming more aggressive.
So, we can conclude that violent video games is associated with aggressive behavior.
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A bucket that has a mass of 20 kg when filled with sand needs to be lifted to the top of a 10 meter tall building. You have a rope that has a mass of 0.4 kg/m that must be secured to the bucket. It takes 1 meter of rope to secure the bucket. Once the bucket reaches the top of the building it only has mass 16 kg because there was a hole in the bottom and sand was leaking out at a constant rate while it was being lifted to the top of the building.
Find the work done lifting the bucket (sand and rope) to the top of the building.
Answer:
W=2001.24 newton meters
Caution: check units and arithmetic - I often make errors.
Step-by-step explanation:
Work is force times distance.
Denote height by h where h=0 is at ground level.
Denote the mass of the bucket and rope at height h by m(h).
The rate at which the bucket loses mass with height is (20-16)/10=0.4 kg/m
The rate at which the rope between the bucket and the top of the building loses mass is 0.4 kg/m
The initial mass of the bucket and rope is
[tex]m_{0}=20+0.4+0.4(10)=24.4[/tex]
The mass at height h is
[tex]m(h)=24.4-0.8h[/tex]
The force required at height h is
m(h)g
where g is the gravitational acceleration.
g=9.81 meters/sec/sec
The work required is
[tex]\int\limits^b_a {m(h)g} \, dh[/tex]
Where a=0 and b=10
[tex]g\int\limits^b_a {(24.4-0.8h)} \, dh=g(24.4h-0.4h^2)\left \{ {{10} \atop {0}} \right.[/tex]
g(244-40)=204g
W=2001.24 newton meters
Mrs. Wilson bought 2 boxes of candy for the party. After filling the pinata and the candy dish, she had ⅚ of a box left. If she split the remaining candy into 10 goodie bags, how much of a box of candy did she put in each bag?
Answer:
Mrs Wilson put 1/12 of the box of candy in each goodie bag
Step-by-step explanation:
5/6 is kinda hard to divide into 10 pieces left like it is, so we turn 5/6 into 10/12 (they're both the same)
Then from here, it's easy
10/12 and 10 goodie bags
So 1/12 goes into each one
use the graph of each function to estimate the indicated function values. Then confirm the estimate algebraically. Round to the nearest hundredth, if necessary
Answer:
c)
Step-by-step explanation:
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