Answer:
{-3, 5.9, -3, 8.3}
Step-by-step explanation:
The range is always the second number of all pairs
Trinity created a game that uses 8 cards numbered 1 to 8 and a six-sided cube numbered 1
to 6. Each player chooses one card and rolls the cube to determine the number of spaces to
move on the game board.
What is the probability that Trinity will choose a card greater than 6 and roll a 6 on the
cube?
Done -
The probability that Trinity will choose a card greater than 6 and roll a 6 on the cube will be 4.167%.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
Trinity created a game that uses 8 cards numbered 1 to 8 and a six-sided cube numbered 1 to 6.
Each player chooses one card and rolls the cube to determine the number of spaces to move on the game board.
Then the probability that Trinity will choose a card greater than 6 and roll a 6 on the cube will be
[tex]\rm P = \dfrac{2}{8}\times \dfrac{1}{6}\\\\\\P = \dfrac{1}{24}\\\\\\P = 0.04167 \ or \ 4.167\%[/tex]
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Which of the following is a solution of the system
x - 2y < 4 and y > – 2x – 5?
1. (1, - 4)
2. (-8,2)
3. (0,0)
4. (-3,0)
Answer:
Answer B
Step-by-step explanation:
1. (1, -4) is NOT a solution because (1) - 2(-4) < 4 is false.
2. (-8, 2): -8 - 2(2) < 4 is true, and in simplified form is -12 < 4 (true) We must check whether this point (-8, 2) ALSO satisfies y > -2x - 5:
2 > -2(-8) - 5. Yes, this is true, so the given point satisfies both inequalities in Answer B.
What is the distance between the points (-3, 9) and (5, 1)? Round to the
nearest tenth, if necessary.
Answer: 11.3
Step-by-step explanation:
To find the distance, we will need the distance formula.
[tex]D=\sqrt{(x_{2}-x_{1} ) ^2+(y_{2}-y_{1})^2 }[/tex]
Since we know our x and y, we can plug them into this equation.
[tex]D=\sqrt{(5-(-3))^2+(1-9)^2}[/tex]
[tex]D=\sqrt{(8)^2+(-8)^2}[/tex]
[tex]D=\sqrt{64+64}[/tex]
[tex]D=\sqrt{128}[/tex]
[tex]D=11.3[/tex]
The distance between the points is 11.3.
Ordered pair for this point? (The point is circled in Blue)
Answer:
( -3, 1)
........
Answer:
(-3, 1)
Step-by-step explanation:
The point lies on the line x = -3.
The point lies on the line y = 1.
Where both lines intersect, that is the coordinate.
(x, y)
(-3, 1)
Rahim is constructing a proof to show that the opposite angles of a quadrilateral inscribed in a circle are supplementary. Which step would be the third step in his proof, given the following information?
Answer:
B
Step-by-step explanation:
The option (A) (1/2)mQRS = ∠T is correct because the measure of an inscribed angle is one-half the measure of its intercepted arc.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)
We have:
Rahim is constructing a proof to show that the opposite angles of a quadrilateral inscribed in a circle are supplementary.
From the central angle theorem:
(1/2)mQRS = ∠T because the measure of an inscribed angle is one-half the measure of its intercepted arc.
Thus, the option (A) (1/2)mQRS = ∠T is correct because the measure of an inscribed angle is one-half the measure of its intercepted arc.
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Which is a valid prediction about the continuous function
f(x)?
f(x) < 0 over the interval (-00, 0).
f(x) > 0 over the interval (-1,00).
f(x) > 0 over the interval [-1, 1].
f(x) < 0 over the interval (0, 2).
pls hurry
Answer:
Option C.
Step-by-step explanation:
Note: In option C interval should be (-1,1) instead of [-1,1].
From the given table it is clear that the value of f(x) is 0 at x=-1 and x=1.
The value of f(x) is negative over the interval [tex](\infty,-1)\text{ and }(1,\infty)[/tex]. So,
[tex]f(x)<0[/tex] over the interval [tex](\infty,-1)\text{ and }(1,\infty)[/tex]
The value of f(x) is positive over the interval [tex](-1,1)[/tex]. So,
[tex]f(x)>0[/tex] over the interval [tex](-1,1)[/tex]
Therefore, the correct option is C.
X/5-2=11 what is the solution
Answer:
x=65
Step-by-step explanation:
x/5 - 2 = 11
x/5= 11+2
x/5=13
x=13×5
x=65
Answer:
X = 55 is the answer.Step-by-step explanation:
Question = x/5 - 2 = 11
1. Isolate the variable
x/5 - 2 = 11
+ 2 + 2
x/5 = 11
2. Remove the fraction
x/5 = 11
*5 *5
3. Simplify
x = 55
The answer is x = 55.
Hope this helped,
Kavitha
Please answer I’m not good with math
Answer: A
Step-by-step explanation:
it's easy
A shoe store marks up the wholesale cost of all shoes they sell by 20%. Calvin wants to buy a pair of shoes that has a price tag of $145. What was the wholesale cost of the shoes?
The sell price is the wholesale price plus 20%
Divide the sell price by 1.2 ( 100% + 20%)
145 / 1.2 = 120.83
The wholesale price is $120.83
Answer:
The wholesale price is $120.83
what is the range of the function?
Answer:
Range { 2,4,9,16}
Step-by-step explanation:
The range of the function is the output of the system
Range { 2,4,9,16}
Answer:
Step-by-step explanation:
Range is ll the y-points the outputs {2,4,9,16}
There are only red,blue and green counters in a bag. There are 6 red counters,4 blue counters and 8 green counters. Matt takes a counter from the bag at random a) What is the probability that the counter is red.Give your answer in a fraction. b) What is the probability that the counter is not blue.Give the answer as a fraction. pls help.
Answer:
a) 1/3
b) 7/9
Step-by-step explanation:
The first part asks for the probability that Matt takes the red counter.
There are 6 red counters out of total 6+4+8 = 18 counters.
6/18
Simplify the fraction.
= 1/3
The second part asks for the probability that the counter is not blue.
The counters that are blue are 4. Not blue becomes 18-4 = 14. 14 red or green counters out of total 18.
14/18
= 7/9
Answer:
Total outcome = 6 + 4 + 8 = 18
a) Probablity that the counter is red = 6/18 = 1/3
b) Probablity that the counter is blue = 14/18 = 7/9
2. Below is a circle with centre C. A, B, D, and E
are points on the circumference. BD is a diameter of
the circle.
Angle CDA is 18° Find the size of angle EDA.
You must show your workings
Answer:
Step-by-step explanation:
45-37
8x17 = 136
find sin 2a and cot 2a:
Answer:
[tex]sin(2\alpha )=2(\frac{5}{12})(\frac{12}{13})=\frac{10}{13}\\cot(2\alpha ) = \frac{16511}{18720}[/tex]
Step-by-step explanation:
[tex]\text{if } cos(\alpha)=\frac{12}{13}\\\text{That must mean we have a triangle with base 12, and hypotenuse 13.}\\\text{Using Pythagoras, we can determine the base of the triangle must be 5.}\\a^2+b^2=c^2 \text{, where c is the hypotenuse and a, b are the two other sides.}\\c^2-b^2=a^2\\\sqrt{c^2-b^2}=a\\\sqrt{13^2-12^2}=\sqrt{169-144}=\sqrt{25}=5\\\text{Therefore, }sin(\alpha) = \frac{5}{12}\\sin(2\alpha)=2sin(\alpha )cos(\alpha)\\\text{(From double angle formulae identities)}\\[/tex]
[tex]sin(2\alpha )=2(\frac{5}{12})(\frac{12}{13})=\frac{10}{13}\\cos(2\alpha )=cos^2(\alpha)-sin^2(\alpha)\\cos(2\alpha )=(\frac{12}{13})^2-(\frac{5}{12})^2=\frac{16511}{24336}\\cot(2\alpha)=\frac{cos(2\alpha)}{sin(2\alpha)}=\frac{\frac{16511}{24336}}{\frac{10}{13}}=\frac{16511}{18720}[/tex]
6. At a bus interchange, a number of passengers boarded a bus. At the first
bus stop, of the passengers alighted the bus and 6 people boarded the
bus. At the 2nd bus stop, of the passengers alighted and 10 passengers
boarded the bus. There were 24 passengers on the bus when it left the
2nd bus stop. How many passengers boarded the bus at the interchange?
Answer:
The answer is given below
Step-by-step explanation:
Let the number of passengers that boarded the bus at the interchange be x.
At the first bus stop, 1/4 of the passengers alighted the bus and 6 people boarded the bus.
Therefore The number of passengers when the bus left the first bus stop = [tex]x-\frac{1}{4}x +6=\frac{3}{4}x+6[/tex]
At the 2nd bus stop, 8/15 of the passengers alighted and 10 passengers boarded the bus.
Therefore The number of passengers when the bus left the second bus stop
[tex]=\frac{3}{4}x+6-\frac{8}{15}( \frac{3}{4}x+6)+10=\frac{3}{4}x+6-\frac{8}{20}x-3.2+10\\\\=\frac{7}{20}x+12.8[/tex]
Given that there were 24 passengers on the bus when it left the 2nd bus stop
[tex]\frac{7}{20}x+12.8=24\\7x+256=480\\7x=480-256\\7x=224\\x=32[/tex]
Therefore 32 passengers boarded the bus at the interchange
A jumbo chocolate bar with a rectangular shape measures 13 centimeters in length, 7 centimeters in width, and 2 centimeters in thickness. Due to escalating costs of cocoa, the management has decided to reduce the volume of the bar by 20 %. To accomplish this reduction, management decides that the new bar should have the same 2 centimeter thickness, but the length and width of each should be reduced by an equal number of centimeters. What should be the dimensions of the new candy bar?
Answer:
Reduce every dimension except thickness by 20%.
The requried new dimensions of the candy bar are approximately 3.4775 cm in length, 2 cm in width (maintained), and 2 cm in thickness.
To find the dimensions of the new candy bar after reducing the volume by 20%, we need to determine the reduction in length and width.
Let's start by calculating the original volume of the candy bar using the formula: volume = length × width × thickness.
Original volume = 13 cm × 7 cm × 2 cm = 182 cm³
Since the management wants to reduce the volume by 20%, we need to find 20% of the original volume and subtract it from the original volume.
20% of 182 cm³ = 0.2 × 182 cm³ = 36.4 cm³
Reduced volume = 182 cm³ - 36.4 cm³ = 145.6 cm³
Now, we need to determine the new dimensions while maintaining the 2 cm thickness.
Let's assume the reduction in length and width is x cm for both dimensions.
The new volume can be calculated using the formula:
volume = (length - x) × (width - x) × thickness.
Setting this equal to the reduced volume, we have:
(13 - x) × (7 - x) × 2 = 145.6
Simplifying and rearranging the equation, we get:
(91 - 20x + x²) = 72.8
x² - 20x + 18.2 = 0
Using the quadratic formula, we can solve for x:
[tex]x = \dfrac{-(-20)\pm \sqrt{(-20)^2- 4(1)(18.2)}} {2(1)}\\x = \dfrac{20 \pm \sqrt{400 - 72.8}} {2}\\x =\dfrac {20 \pm \sqrt{327.2}} {2}[/tex]
x ≈ (20 ± 18.09) / 2
Taking the positive value, we have:
x ≈ (20 + 18.09) / 2
x ≈ 19.045 / 2
x ≈ 9.5225
Since the dimensions cannot be negative, we discard the negative value.
Therefore, the reduction in length and width is approximately 9.5225 cm.
To find the new dimensions, we subtract this value from the original length and width:
New length = 13 cm - 9.5225 cm ≈ 3.4775 cm
New width = 7 cm - 9.5225 cm ≈ -2.5225 cm (discard as it is negative)
Therefore, the new dimensions of the candy bar are approximately 3.4775 cm in length, 2 cm in width (maintained), and 2 cm in thickness.
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What is (-i)5?
A -1
B 1
C -I
D i
Answer:
-i^5=-i
Step-by-step explanation:
rewrite the equation ;
i^4=1
I^4 *-i = 1*-i=-i
If f(x) = squareroot x + 5 and g(x) = -4x + 4,
which statement is true?
Click on the correct answer.
3 is in the domain of fºg.
3 is not in the domain of fºg.
Answer:
3 is not in the domain of [tex]f\circ g[/tex].
Step-by-step explanation:
The given functions are
[tex]f(x)=\sqrt{x+5}[/tex]
[tex]g(x)=-4x+4[/tex]
We need to check whether 3 is in the domain of [tex]f\circ g[/tex] or not.
[tex]f\circ g=f(g(x))[/tex]
[tex]f\circ g=f(-4x+4)[/tex] [tex][\because g(x)=-4x+4][/tex]
[tex]f\circ g=\sqrt{(-4x+4)+5}[/tex] [tex][\because f(x)=\sqrt{x+5}][/tex]
[tex]f\circ g=\sqrt{-4x+9}[/tex]
This function is defined if
[tex]-4x+9\geq 0[/tex]
[tex]9\geq 4x[/tex]
[tex]\dfrac{9}{4}\geq x[/tex]
It means domain of the function [tex]f\circ g[/tex] is [tex](-\infty,\dfrac{9}{4}][/tex].
[tex]3\notin (-\infty,\dfrac{9}{4}][/tex]
Therefore, 3 is not in the domain of [tex]f\circ g[/tex].
PLZ HELP!! HURRY!!!30POINTS!!
Answer & Step-by-step explanation:
Complete the equation of the line through (-6,-5) (−4,−4) PLZ HELP !!!
Answer: y=1/2x−2
Step-by-step explanation:
A small airplane can fly 12 miles in 3 minutes. At this rate, how far can it fly in 7 minutes? In an hour?
Answer:
28 miles in 7 minutes, 240 miles in an hour
Step-by-step explanation:
We can first simplify the rate to miles per minute. Since the plane goes 12 miles in 3 minutes, we can divide it by 3 to find how much it travels in one minute. 12 divided by 3 is 4 and 3 divided by 3 is 1
The plane travels 4 miles a minute
To find how much it travels in 7 minutes, multiply by 7
4x7 is 28
28 miles in 7 minutes
To find an hour, multiply by 60
4x60= 240
240 miles in an hour
Answer the question now fast
Answer:
second and third choice
Step-by-step explanation:
supplamentary = add up to be 180
What number is represented by point B?
Which point represents the number 2?
Answer:
-1, c
Step-by-step explanation:
Each dot represents 1.
0 - 1 = -1
As labeled, c represents 2.
In how many ways can the letters of the word PROBABLY be arranged using all of the letters?
Answer:
20160
Step-by-step explanation:
If there is no repeat of the alphabets, the answer will simply be 8! = 40320 (8 words)
but, there is B which repeated 2 times.
So, 8!/2!
Answer:
20160
Step-by-step explanation:
Let's write the word PROBABLY. There are 8 letters in total, but the letter B repeats twice. So, instead of just doing 8! or 1*2*3*4*5*6*7*8, you have to exclude the two B's.
So, you have to do 8! / 2! because the 2! is the two B's.
Hope this helps!! :)
'15 points in total for brainliest and correct answer, please answer ASAP'
What is the area of the shaded portion if the area of the circle is 56 sq cm?
Answer:
14cm² is the area of the shaded region
Step-by-step explanation:
recognize that those two small triangles plus that arc area is equal to 1/4 of the area of the circle.
56 / 4 = 14cm
What is the product of Three-fourths and Negative StartFraction 6 over 7 EndFraction?
Negative StartFraction 7 over 8 EndFraction
Negative StartFraction 9 over 14 EndFraction
StartFraction 9 over 14 EndFraction
Answer:
[tex]-\frac{9}{14}[/tex]
Step-by-step explanation:
[tex]\frac{3}{4}*-\frac{6}{7}\\\\\frac{3}{2} *\frac{3}{7} \leftarrow \text{Cross Cancel Common Factor}\\\\ -\frac{3*3}{2*7}\\\\-\frac{9}{14}[/tex]
Answer:
negative 9/14
Step-by-step explanation:
)Bentley had $40 in birthday money in her piggy bank. She spent $10 on new flip-flops, then got $20 for her allowance and did not spend any of that money for 1 week. Finally, she spent $15 on new sunglasses. Which part of the scenario is best represented by a linear increasing interval? Bentley has $40 in her piggy bank. Bentley spent $10 on new flip flops. Bentley got $20 for her allowance. Bentley spent $15 on sunglasses.
Answer:
Bentley got $20 for her allowance.
Step-by-step explanation:
help me please(2 + 3 • 2 + 3²) - 4²
Answer:
1solution,
[tex](2 + 3 \times 2 + {3}^{2} ) - {4}^{2} \\ = (2 + 6 + 9) - 16 \\ = 17 - 16 \\ = 1[/tex]
Hope this helps...
Good luck on your assignment...
Answer:
1
Step-by-step explanation:
Multiply
3 by 2 . 2 + 6 + 3 2 − 4 2 Raise 3 to the power of 2 . 2 + 6 + 9 − 4 2 Raise 4 to the power of 2 . 2 + 6 + 9 − 1 ⋅ 16 Multiply − 1 by 16 . 2 + 6 + 9 − 16
Simplify by adding and subtracting.
Add 2 and 6 . 8 + 9 − 16 Add 8 and 9 . 17 − 16 Subtract 16 from 17 .
1
Triangles D E F and P Q R are shown. Given that StartFraction D F Over P R EndFraction = StartFraction F E Over R Q EndFraction = three-halves, what additional information is needed to prove △DEF ~ △PQR using the SSS similarity theorem? DE ≅ PQ ∠D ≅ ∠P StartFraction D E Over E F EndFraction = three-halves StartFraction D E Over P Q EndFraction = three-halves
Answer:
The correct option is;
DE/PQ = 3/2 which is StartFraction DE Over PQ Endfraction = three-halves
Step-by-step explanation:
The information given bout the triangles are;
DF/PR = FE/RQ = 3/2
Therefore since the given sides of triangle DEF are 3/2 times the sides of triangle PQR, the given sides of triangle DEF have been scaled 3/2 times to get the given sides of triangle PQR
Therefore, to prove that ΔDEF ~ ΔPQR, the ratio of the third side of triangle DEF, that is DE, to the third side of triangle PQR, which is PQ must be three-halves.
Answer:
The answer is DE/PQ = 3/2 or D.
Step-by-step explanation:
Just did it on edge. hope you do good :)
PLEASE HELP ME!! I NEED AN ANSWER ASAP PLZ! Given the quadrilateral inscribed in the circle, what is m∠L?
Answer:
97 degrees
Step-by-step explanation:
heleeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeep
Answer:
3.625 is ans
Step-by-step explanation:
4.5+0.25_+1.125=3.625
Step-by-step explanation:
this is your answer sis ...