1. Solve the compound inequality. You do not need to graph the solution.
Answer:
9 ≤ x ≤ 7
Step-by-step explanation:
2x – 3 ≤ 11 or –8x – 10 ≤ – 82
We shall determine the value of x in both case.
2x – 3 ≤ 11
Collect like terms
2x ≤ 11 + 3
2x ≤ 14
Divide both side by 2
x ≤ 14/2
x ≤ 7
–8x – 10 ≤ – 82
Collect like terms
–8x ≤ – 82 + 10
–8x ≤ – 72
Divide both side by –8
x ≤ – 72 / –8
x ≥ 9 (since we divided by a negative sign)
9 ≤ x
Combining both answers
x ≤ 7
9 ≤ x
Thus,
9 ≤ x ≤ 7
How do you do 3++3 because i need help with this. I am learning this and are confused
A right triangle is shown below.
Х
4
8.5
What is the value of x? Enter your value as a decimal rounded to the nearest tenth,
Step-by-step explanation:
Use the Pythagorean Theorem ( [tex]a^{2}+b^{2} =c^{2}[/tex] )
The longest side is c = the hypotenuse, and a and b = the other sides of the triangle.
a = 4 First: [tex]4^{2}+x^{2}=8.5^{2}[/tex]
b = x Second: [tex]16+x^{2}=72.25[/tex]
c = 8.5 Third: [tex]x^{2}=56.25[/tex]
Fourth: [tex]x=\sqrt{56.25}[/tex]
Fifth: x = 7.5
During his NBA career, Larry Bird made approximately 89% of all free throws. Suppose Larry
makes 10 free throws in a row. Assuming each free throw is independent, what is the
probability he will make the next free throw?
(a) 0.11
(b) 0.50
(c) 0.01
(d) 0.89
Answer:
0.89
Step-by-step explanation:
The probability of Larry making the next free throw is, 0.89
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one
Now, we can assume that Larry Bird has a 89% chance of making any given free throw.
Since, each free throw is an independent event, the fact that he made 10 free throws in a row does not affect the probability of him making the next free throw.
Therefore, the probability of Larry making the next free throw is also 89%.
Thus, the probability of Larry making the next free throw is, 0.89
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Please help if you know the answer please
Answer:
1 3/7 or 10/7
Step-by-step explanation:
2 is also known as 14/7. 14/7 - 4/7 is equal to 10/7 or 1 3/7.
A square ceiling has a diagonal of 24 ft. Shelton wants to put molding around the perimeter of the ceiling.
How many feet of molding will he need?
Round to the nearest foot.
Answer:
16.97 feet
Step-by-step explanation:
a^2=b^2+c^2
24^2=576
b and c are equal divide 576 by 2 to get 288 square root of 288=16.97 feet
need help I will give brainiest
Answer: 97
Step-by-step explanation:
10+3+3+33+33+15
Evaluate the following: 18 + 3 |6 - 25| - 11
Answer:
29
Step-by-step explanation:
18+3|6-25|-11
21+19-11
29
Write the word sentence as an inequality The quotient of a number y and -3.6 is less than 6.5.
Answer:
the quotient of a number y and negative three point six is less than six point five.
Helppppppp I’ll give you 10 pointssss plzzz
At which value in the domain does f(x) = 0?
Ty
10
8+
6
4
2
-1
3
-10
--3
What the answer. ? Please no links
Answer:
would not be able to use 3 1/2 ft
Step-by-step explanation:
8.5 + 4.5 > 3rd side ∴ 3rd side must be less than 13 feet
4.5 + 3rd side > 8.5 ∴ 3rd side must be greater than 4 feet
Find the roots: x^2−12x+32=0.
Enter your answers in the boxes (numbers only).
The answers are 4 and 8.
Because:
x^2 - 12x + 32 =
(x - 4)(x - 8)
x - 4 = 0
+4 +4
x = 4
x - 8 = 0
+8 +8
x = 8
y
3
2
1
-4
-3 -2
-1
1
2
2
3
4
-1+
-2+
-3+
-4
What is the slope of the line?
Answer:
1/2
Step-by-step explanation:
y = mx + b is slope intercept form.
b = y intercept. where the line first passes through on the y axis
that number is 3.
y = mx + 3.
to find M (slope) you have to do RISE / RUN.
Run is going left or right from a point
Rise is going up or down from a point.
To make sure you find the slope, when you Rise and Run, it has to hit another point on the graph.
From the y - intercept 3, RISE (go up) 1 and RUN (go left) 2.
So, the slope is 1/2.
3. Which ordered pair is the solution to the following system of equations?
y = x + 4
x+y=2
Answer:
(-1, 3)
Step-by-step explanation:
replace the occurrences of y in the equation
(x + y = 2) with x + 4
x + x + 4 = 2
2x + 4 = 2
solving for x in the first equation
2x = 2 - 4
2x = -2
2x/2 = -2/2
x = -1
replacing all occurrences of x in y = x + 4 with -1
y = (-1) + 4
y = 3
therefore the pairs are (-1, 3)
Hope it helps!
What is the area of this figure? Enter your answer in the box.
Answer:
58.5
Step-by-step explanation:
3x11=33
3x3=9
3x11/2=16.5
16.5+9=25.5
25.5+33=58.5
Remove the brackets using the distributive law for the following: 2(x + 3)
Answer:
2x + 6
Step-by-step explanation:
= 2(x + 3)
= 2(x) + 2(3)
= 2x + 6
Jordan bought StartFraction 9 Over 16 EndFraction of a pound of sunflower seeds and divided them evenly into 9 snack bags for his lunch. What is the weight of sunflower seeds in each snack bag?
StartFraction 1 Over 16 EndFraction of a pound
StartFraction 1 Over 9 EndFraction of a pound
StartFraction 16 Over 81 EndFraction of a pound
StartFraction 81 Over 16 EndFraction pounds
Answer:
StartFraction 1 Over 16 EndFraction of a pound
Step-by-step explanation:
Total pounds of sunflower seeds Jordan bought = 9/16 of a pound
Number of snack bags for his lunch = 9
What is the weight of sunflower seeds in each snack bag?
Weight of sunflower seeds in each snack bag = Total pounds of sunflower seeds Jordan bought / Number of snack bags for his lunch
= 9/16 ÷ 9
= 9/16 × 1/9
= (9*1) / (16*9)
= 9 / 144
= 1/16
Weight of sunflower seeds in each snack bag = 1/16 of a pound
Answer:
1/16 of a pound aka A is the correct answer.
Step-by-step explanation:
A cone has a volume of 200.96 cubic centimeters and a height of 12 centimeters. What is its radius? Use ≈ 3.14 and round your answer to the nearest hundredth. r ≈ centimeters
Answer:
Radius = 4 cmStep-by-step explanation:
Formula:
r = √[ (3 * v) / (π * h) ]
Use the first five terms of the trigonometric series to approximate the value of sin to four decimal places. Then compare
the approximation to the actual value.
a. -0.9568, -0.9659
b. -0.9649, -0.9659
C. 0.5884, 0.5878
d. -0.9609, -0.9659
Quick answer, without using series: sin(4π/5) must be positive since 0 < 4π/5 < π. So C is the only possible choice.
Longer, proper answer:
The first five terms in the series expansion of sin(x) are
sin(x) ≈ x - x ³/3! + x ⁵/5! - x ⁷/7! + x ⁹/9!
Now let x = 4π/5:
sin(4π/5) ≈ 0.5884
so again the answer must be C.
Trigonometric series : A mathematical series whose terms proceed by sine and cosines of integral multiples of a variable angle.
Option c is correct.
First five term of Trigonometric series of sin is shown below,
[tex]sin x=x-\frac{x^{3}}{3!}+\frac{x^{5}}{5!}-\frac{x^{7}}{7!}+\frac{x^{9}}{9!}-......[/tex]
substitute x = [tex]\frac{4\pi }{5}[/tex]
[tex]sin \frac{4\pi }{5}=\frac{4\pi }{5}-\frac{(\frac{4\pi }{5})^{3}}{3!}+\frac{(\frac{4\pi }{5})^{5}}{5!}-\frac{(\frac{4\pi }{5})^{7}}{7!}+\frac{(\frac{4\pi }{5})^{9}}{9!}-......[/tex]
After solving,
We get, approximation value of [tex]sin\frac{4\pi }{5}=0.5884[/tex]
Now find , actual value
[tex]sin\frac{4\pi }{5}=0.5878[/tex]
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Choose one of the theorems about chords of a circle and state it using your own words.
Create a problem about chords that uses the theorem that you explained. Solve the problem.
examples below:
1.The Chord Intersection Theorem:
If 2 chords of a circle are AB and CD and they intersect at E, then
AE * EB = CE * ED.
Problem.
Two Chords AB and CD intersect at E. If AE = 2cm , EB = 4 and CE = 2.5 cm, find the length of ED.
By the above theorem : 2 * 4 = 2.5 * ED
ED = (2 * 4) / 2.5
= 3.2 cm.
2.1. A given chord on a circle is perpendicular to a radius through its center, and it is at a distance less that the radius of the circle.
2. A circle of center O has a radius of 13 units. If a chord AB of 10 units is drawn at a distance, d, to the center of the circle, determine the value of d.
3. From question 2, the radius = 13 units, length of chord = 10 units and distance of chord to center of the circle is d.
A radius that meet the chord at center C, and divides it into two equal parts.
So that;
AC = CB = 5 units
Applying Pythagoras theorem to ΔOCB,
OC = d, CB = 5 units and OB = 13 units
= +
169 = 25 +
169 - 25 =
144 =
⇒ d =
= 12 units
Therefore, the chord is at a distance of 12 units to the center of the circle
What is the probability of rolling a 3 or 4 on a six sided die?
Answer:
2/6
Step-by-step explanation:
if you want to roll a 3 or a 4 and there are 6 possible outcomes then you have a 2 out of a six chance of rolling a 3 or 4
Substitution.
-3x - 2y = -12
y = 5x - 7
Answer:
-3x-2(5x-7)=-12
-3x-10x+14=-12
-13x+14=-12
-13x=-16
x=2
Choose the correct simplification of the expression (a^2 multiplied by b^5)^3
A^6/b^15
A^5/b^8
A/b^15
A^6/b^11
Answer:
1
Step-by-step explanation:
the first one because if you take the expression that you want, and expanding it out, you will get the first one.
Answer:
A
Step-by-step explanation:
(a^2)^3 (b^5)^3
The powers multiply when written like this. They don't add.
a^6 b^15
A
use the graph to answer these questions. what is the slope and y-intercept?
slope: -1/4
y-int: -1
y=(-1/4)x-1
At a car dealership yesterday, the ratio of trucks sold to cars sold was 5.6. If the dealership sold 30 cars, how many trucks were sold?
Answer:
25
Step-by-step explanation:
ratio 5:6
[tex]\frac{5}{6} = \frac{x}{30}[/tex]
6x = 5(30)
6x = 150
x = 25
16 cars are parked if 1/4 of them are blue how many cars are blue
Answer: 4
Step-by-step explanation:
Answer:4
Step-by-step explanation: for example, you have 1/4 if you double that you get 2/8, triple it would be 3/12, next would be 4/16
The graph of f(x) = -2^2 was transformed to create g(x) = -(x+3)^2. Which of these describes the transformation from the graph of f to the graph of g
number 7 pls im dead I need help
Answer:
c
Step-by-step explanation:
divide the two numbers.
How many dimes and quarters?
what would the system look like?
picture is linked!!!
Answer:
I think it is twenty-three dimes and one quarter
Answer:
7 quarters and 8 dimes
Step-by-step explanation:
If you count up the amount of money that 7 quarters is, then they are equal to $1.75. Next you would add 10 to that amount until you got to $2.55, and you would end up with 8 dimes. And 8 + 7 = 15.