Answer:
A. x = 2
E. x = -5
Step-by-step explanation:
Step 1: GCF
2(x² + 3x) = 20
x² + 3x = 10
Step 2: Complete the Square
x² + 3x + 9/4 = 10 + 9/4
(x + 3/2)² = 49/4
Step 3: Solve
√(x + 3/2)² = √49/4
x + 3/2 = ±7/2
x = -3/2±7/2 or x = -5, 2
Find the sum of an infinite geometric series where a1 = 180, and the common ratio is r = 3∕4 ? Question 9 options: A) 240 B) 360 C) 135 D) 720
Answer:
The sum of this geometric series is 720.
Step-by-step explanation:
The sum of a infinite geometric series is given by the following formula:
[tex]s = \frac{a_1}{1 - r}\\[/tex]
Applying the data from the problem, we have:
[tex]s = \frac{180}{1 - \frac{3}{4}}\\\\s = \frac{180}{\frac{4 - 3}{4}}\\\\s = \frac{180}{\frac{1}{4}}\\\\s = 180*4 = 720[/tex]
The sum of this geometric series is 720.
Which best describes how to solve the equation below?
64x = 37
O A. Divide both sides by 37.
B. Multiply both sides by 37.
O C. Divide both sides by 64.
O D. Multiply both sides by 64.
How can we isolate the variable, p 6000+(-25p)=4000
Answer:
[tex]p=80[/tex].
Step-by-step explanation:
The given equation is
[tex]6000+(-25p)=4000[/tex]
We have to isolate the variable p.
The given equation can be written as
[tex]6000-25p=4000[/tex]
Subtract 6000 from both sides.
[tex]6000-25p-6000=4000-6000[/tex]
[tex]-25p=-2000[/tex]
Divide both sides by -25.
[tex]\dfrac{-25p}{-25}=\dfrac{-2000}{-25}[/tex]
[tex]p=80[/tex]
Therefore, the value of p is 80.
Pleaseee helpp
A student skipped a step when she tried to convert 26 hours into seconds,
and she got the following incorrect result:
25 hours (60 seconds)
(1 minute)=
- 1560 seconds
What conversion ratio did she skip in this multiple step conversion?
A.
1 hour
60 minutes
B.
60 seconds
1 minute
C.
1 minute
60 seconds
D.
60 minutes
1 hour
Read the claim about "The Most Dangerous Game,” by Richard Connell. RA teacher instructs students to write an argumentative essay about "The Most Dangerous Game.” Read the claim and reason one student writes and then answer the question. Claim: The general does not play fair in his game. Reason: He uses trickery to lure his prey. Which quote from the story provides the best evidence to support the student’s reason? "The island is perfect for my purpose—there are jungles with a maze of traits in them, hills, swamps—" Every day I hunt, and I never grow bored now, for I have a quarry with which I can match my wits." '"And the answer was, of course, 'It must have courage, cunning, and, above all, it must be able to reason.'" "They indicate a channel," he said, "where there's none: giant rocks with razor edges crouch like a sea monster with wide-open jaws. They can crush a ship . . ."ead the claim about "The Most Dangerous Game,” by Richard Connell. Zaroff considers himself to be a god-like figure. What is the most effective concluding statement? Zaroff is so proud himself, he seems to believe he should be worshipped by others like a god. Zaroff lives in a castle and watches out, believing he is in charge, much like a mythical god. Throughout the story “The Most Dangerous Game,” Zaroff’s actions suggest he is a god. Zaroff believes he is a god, as he alters the fate of sailors and controls men’s actions.Zaroff considers himself to be a god-like figure. What is the most effective concluding statement? Zaroff is so proud himself, he seems to believe he should be worshipped by others like a god. Zaroff lives in a castle and watches out, believing he is in charge, much like a mythical god. Throughout the story “The Most Dangerous Game,” Zaroff’s actions suggest he is a god. Zaroff believes he is a god, as he alters the fate of sailors and controls men’s actions.
Answer: D) "They indicate a channel," he said, "where there's none: giant rocks with razor edges crouch like a sea monster with wide-open jaws. They can crush a ship . . ."
Explanation: In this part of "The Most Dangerous Game" General Zaroff explains to Rainsford that he hunts humans in his island, and when Rainsford asks why men keep going to the island, the general lights a signal that indicates a channel where there is none, so when the ships were destroyed by the rocks, the sailors are forced to swim to the general's island, where they are hunted, this support the claim that The general does not play fair in his game.
Answer:
D) "They indicate a channel," he said, "where there's none: giant rocks with razor edges crouch like a sea monster with wide-open jaws. They can crush a ship . . ."thank me later:)
6.07 which expressions are equivalent to 3(x + 3y + 2x - y
Answer:
[tex]3(3x +2y)[/tex] and [tex]9x +6y[/tex] are equivalent to [tex]3(x + 3y + 2x - y)[/tex]
Step-by-step explanation:
Given
[tex]3(x + 3y + 2x - y)[/tex]
Required
Possible Equivalents
To start with; we need to simplify the expression in the bracket;
[tex]3(x + 3y + 2x - y)[/tex]
Collect like terms
[tex]3(x + 2x + 3y - y)[/tex]
[tex]3(3x +2y)[/tex]
At this point; we can conclude that [tex]3(3x +2y)[/tex] is equivalent to [tex]3(x + 3y + 2x - y)[/tex]
Solving further, by expanding the bracket
[tex]3(3x +2y)[/tex]
[tex]3*3x +3*2y[/tex]
[tex]9x +6y[/tex]
At this point; we can also conclude that [tex]9x +6y[/tex] is equivalent to [tex]3(x + 3y + 2x - y)[/tex]
Hence,
[tex]3(3x +2y)[/tex] and [tex]9x +6y[/tex] are equivalent to [tex]3(x + 3y + 2x - y)[/tex]
choose the correct equation(s) for the function shown in the graph. Select all that apply. (There is more than one answer) y = 2cos2(x • π/2) y = -2sin2 x y = -2cos(2 x - π/2) y = 2sin2( x - π/2)
Answer:
The correct options ares:
b) y = -2sin2x
c) y = -2cos(2 x - π/2)
d) y = 2sin2( x - π/2)
Step-by-step explanation:
As we can see in the graph, when x = 0 then y = 0.
Simply substitute x=0 in each equation.
a) y = 2cos2(x • π/2)
for (0,0)
y = 2
False
b) y = -2sin2x
for (0,0)
y=0
True
c) y = -2cos(2 x - π/2)
for (0,0)
y=0
True
d) y = 2sin2( x - π/2)
for (0,0)
y=0
True,
(We can also find the solution by using y= Asin(Bx+C) and y = Acos(Bx+C), we'll find that except equation a, all other equations have same amplitude, horizontal shift, period and vertical shift)
FIRST CORRECT GETS BRAINLIEST!!!!!!!! 15/20 POINTS!!!!!!!!!!!!!!! ASAP!!!!!!111
Answer:
3, -x+3, first option
Step-by-step explanation:
just do them man
The number is even. It is nit divisible by 3. It is not divisible by 5. It is not greater than 9^2. Is it not less than 8^2. What is the nunber?
Answer:
64, 68, 74, 76
Step-by-step explanation:
Ok so in a confusing way, the last two statements are telling you that the number is greater than 8^2, which is 64, and the number is less that 9^2, which is 81.
The number has to be even, so I will list the even numbers between those two numbers:
64, 66, 68, 70, 72, 74, 76, 78, 80.
It cannot be divisible by 3, which rules out 66, 72, 78
64, 68, 70, 74, 76, 80 remains
It cannot be divisible by 5, which rules out 70 and 80
64, 68, 74, 76 are the possible answers,
*Note: I believe I did this right, but because of the tricky wording of the last two statements, 64 may not be included.
The area of the shape given is: (Use pie = 3.14)
Answer:
116.18 m²
Step-by-step explanation:
r = 5 m
R = 5m + 2m = 7m
Ax = π·R²/4 - π·r²/4
= 49π/4 - 25π/4
= 24π/4
= 6π m²
A(shape) = π·R² - 2·Ax
= 49π - 2·6π
= 37π
= 37×3.14
= 116.18 m²
John pushes forward on a car with a force of 125 N while Bob pushes
backward on the car with a force of 225 N. What is the net force on the car?
O A. 100 N backward
B. 100 N forward
C. 350 N forward
D. 350 N backward
Answer: the answer was not C the answer is A
Step-by-step explanation:
Answer:
100 N backward
Step-by-step explanation:
just did it:)
Which of the following numbers is the largest?
12 hundredths
0.025
9 thousandths
0.1
None they are all small
For f(x) = 3x +1 and g(x) = x^2-6, find (fg)(x).
What is the average rate of change of the function f(x)=2x2+8 over the interval [2, 6]? A 2 B 4 C 12 D 16
Answer:
D. 16
Step-by-step explanation:
Average rate of change: [tex]\frac{f(a) - f(b)}{a-b}[/tex]
Simply plug in 6 for a and 2 for b
Answer:
16
Step-by-step explanation:
Average rate of change is
f(6) - f(2)
------------------
6-2
f(6) = 2(6)^2 +8 = 2 *36 +8 = 80
f(2) = 2(2)^2 +8 = 2 *4 +8 = 16
80 - 16
------------------
6-2
64/4
16
Vanessa has a lot of headbands. Twenty are pink, 32 are blue, and 16 are black. If she picks a headband at random, what is the probability that it will not be black?
Answer:
[tex]\dfrac{13}{17}[/tex]
Step-by-step explanation:
all headbands: 20+32+16 = 68
headbands that aren't black: 68-16 = 52
the probability: [tex]\frac{52}{68}=\frac{13}{17}[/tex]
How many faces does this pyramid have? A net has a rectangular base and 4 triangles on the sides. faces
Answer:
5 faces
Step-by-step explanation:
Faces:
=> 1 rectangular face+4 triangular face = 5 faces
Answer:
a pyramid has has 5 Faces.
Step-by-step explanation:
The 4 Side Faces are Triangles. The Base is a Square. It has 5 Vertices
a net with a rectanguler base and 4 triangles will form a rectanguler pyramid
A hotel offers a reward program based on the number of nights stayed. The function f(x) represents the number of free nights earned as a function of x, the number of nights stayed. f(x) = Left-bracket StartFraction x Over 10 EndFraction right-bracket Which describes the meaning of f(x)? A customer earns 1 free night per 10 nights stayed. A customer starts with 1 free night and then earns another free night after every 10 nights stayed. A customer earns x – 10 free nights for every 10 nights stayed. A customer earns 10 free nights after x number of nights stayed.
Answer:
A) A customer earns 1 free night per 10 nights stayed.
Step-by-step explanation:
The true statement is (A) A customer earns 1 free night per 10 nights stayed.
The function is given as:
[tex]f(x) = \frac x{10}[/tex]
From the above function, we can see that the number of nights (x) is divided by 10.
This means that, for every 10 nights stayed, the visitor gets one free night.
Hence, the true statement is (A) A customer earns 1 free night per 10 nights stayed.
Read more about linear functions at:
https://brainly.com/question/15602982
Louisa has 4 dogs.
Each dog eats 3/4
of a tin of dog food each day.
Louisa buys 12 tins of dog food.
Has Louisa bought enough dog food to feed her 4 dogs for 5 days?
You must show how you get your answer.
Answer:
No, she has not bought enough dog food to feed her 4 dogs for 5 days.
Step-by-step explanation:
She has 4 dogs which each eat 3/4 of a tin each day, so during each day 3/4 * = 3 tins of food are eaten. She has 12 tins, and 12/3 is 4 days without running out. She has therefore not bought enough dog food to feed her 4 dogs for 5 days.
No, she has not purchased enough dog food to last five days and feeds her four dogs.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Each of her four dogs consumes 3/4 of a tin of food every day, making a total of 3 tins of food consumed daily. She has 12 tins, therefore she has 4 days before running out as of 12/3. She hasn't purchased enough dog food as a result to feed her four dogs for five days.
To know more about an expression follow
https://brainly.com/question/24248757
#SPJ2
Choose improper fraction that is equivalent to mixed number 4 3/10
Answer:
Step-by-step explanation:
Answer:43/10
Step-by-step explanation:
in grade school i was taught the “MAD” method which stands for multiply add divide, so you would take 10 times 4, add 3, which will give you your fraction which could also be used to divide. the answer is 43 over 10.
The expression below is the factorization of what trinomial?
(5x + 6)(3x - 2)
O A. 15x2 + 8x+12
B. 15x2 + 4x-12
O C. 15x2 + 4x+12
О
D. 15x2 + 8x-12
Answer:
D. 15x^2 + 8x - 12
Step-by-step explanation:
To solve this problem, simply expand the factorization and find the polynomial.
5x * 3x = 15x2
5x * -2 = -10x
6 * 3x = 18x
6 * -2 = -12
You are left with 15x2 - 10x +18x - 12, but you need to combine like terms, leaving you with the correct answer: 15x2 + 8x - 12.
Answer:
D.
Step-by-step explanation:
(5x+6)(3x-2)=5x*3x-5x*2+6*3x-6*2=15x^2-10x+18x-12=15x^2+8x-12
The Stockton Hotel has plans to carpet the floor of a ballroom that has a width of 35 feet and a length of 50 feet. A 1.5-foot border of tile around the room will be installed, What is the area of the floor that will be covered with carpet? 1,504 ft2 1,673.25 ft2 1,584.75 ft2 1,750 ft2
Answer:
A
Step-by-step explanation:
Because of the border of tile, the length and width of the room are essentially being decreased by (1.5*2)=3 feet. The area is now therefore:
32*47=1,504 square feet, or answer choice A
Hope this helps!
Answer:
A
Step-by-step explanation:
hope this helps
Equation: 32 x 47 = 1, 504
Where is the blue dot on the number line?
Answer:
0.58 is where the blue dot on the number line is
Answer:
The blue dot is at -0.58
solve this please. find the sum
Answer:
1
Step-by-step explanation:
a + b - c
Let's solve for the first triangle.
1 + 3 - 4
4 - 4 = 0
Now for the second triangle.
2 + 5 - 6
7 - 6 = 1
Add 0 and 1.
0 + 1 = 1
Answer:
1
Step-by-step explanation:
1+3=4-4=0
2+5=7-6=1
0+1=1
Find the value of x in each case.
Answer:
x = 13 deg
Step-by-step explanation:
As shown in the picture, you have:
CF and CD are perpendicular
=> angle BCF = 90 deg
=> angle BCE + angle ECF = angle BCF = 90 deg
or angle BCE + 64 = 90
=> angle BCE = 90 - 64 = 26 deg
Point A, B, and C are collinear
=> (angle ABE) + angle CBE = 180 deg (1)
Otherwise, as the property of the sum of 3 angles in a triangle:
(angle BEC + angle BCE) + angle CBE = 180 deg (2)
From (1) and (2) you would have:
angle ABE = angle BEC + angle BCE
or
3x = 26 + x
<=> 3x - x = 26
<=> 2x = 26
<=> x = 26/2
<=> x = 13
=> angle BEC = x = 13 deg
=> angle ABE = 3x = 3(13) = 39 deg
Hope this helps!
Based on the work shown on the left, what is the simplest form of sqrt 250c^3/9d^6?
Answer is A on edge.
Answer:
[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{5\sqrt{10c^3} }{3d^3}[/tex]
Step-by-step explanation:
Given
[tex]\sqrt{\frac{250c^3}{9d^6}}[/tex]
Required
Simplify to the simplest form
We start by splitting the square root
[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{\sqrt{250c^3}}{\sqrt{9d^6}}[/tex]
Expand
[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{\sqrt{250 * c^3}}{\sqrt{9 * d^6}}[/tex]
Further Split the square root
[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{\sqrt{250} * \sqrt{c^3}}{\sqrt{9}*\sqrt{d^6}}[/tex]
[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{\sqrt{250} * \sqrt{c^3}}{3*\sqrt{d^6}}[/tex]
From laws of indices;
[tex]\sqrt[n]{a^m} = a^{\frac{m}{n}}[/tex]
This implies that
[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{\sqrt{250} * \sqrt{c^3}}{3*{d^{\frac{6}{2}}}}[/tex]
[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{\sqrt{250} * \sqrt{c^3}}{3*{d^3}}[/tex]
Expand 250 to 25 * 10
[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{\sqrt{25 * 10} * \sqrt{c^3}}{3*{d^3}}[/tex]
[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{\sqrt{25}*\sqrt{10} * \sqrt{c^3}}{3*{d^3}}[/tex]
[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{5*\sqrt{10} * \sqrt{c^3}}{3*{d^3}}[/tex]
Combine the square roots
[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{5*\sqrt{10*c^3} }{3*{d^3}}[/tex]
[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{5\sqrt{10c^3} }{3d^3}[/tex]
Solved
Answer:
its a
Step-by-step explanation:
i just did it
Which of the following circles have their centers on the Y axis
Answer:
Hi, please provide a photo or options to pick from. I will answer then.
Step-by-step explanation:
i need help. i don’t know how to do this
Answer:
Range: [-1,1] or [tex]-1\leq y \leq 1[/tex]
Domain: [-4,3) or [tex]-4\leq x[/tex] < 3
Step-by-step explanation:
The range is basically all of the y-value the graph takes on, and it takes all the y values from -1 to 1, inclusive
The domain is basically of the x-values the graphs take on, and it takes on x-values from -4 to 3, where -4 is included in the domain and 3 is excluded.
Answer:
Domain: All real numbers greater than or equal to -4 but less than 3.
Range: All real numbers greater than or equal to -1 but less than or equal to 1.
Domain:{all real numbers: -4 [tex]\leq[/tex]x<3}.
Range: {all real numbers: -1[tex]\leq[/tex]y[tex]\leq[/tex]1}.
Step-by-step explanation:
Hope this helps!
Evaluate the expression for
a = 30, b = 30, c = 7, d = 24:
a + b = c = d.
Answer:
Not possible
Step-by-step explanation:
a + b = c = d Substitute
30 + 30 = 7 = 24 Add
60 = 7 = 24 This is not possible because these numbers aren't equal.
If ∠ABC and ∠CBD are supplementary angles, then m∠ABC + m∠CBD = 180° represents the definition of Question 2 options: A) complementary angles. B) supplementary angles. C) triangle sum. D) congruence.
Answer:
I would think it is supplementary.
Step-by-step explanation:
If 2 angles equal 180 degrees, then they are supplementary.
The moon has a diameter of approximately 2,200 miles. If the circumference of a circle can be found using the formula C = πd, what is the circumference of the moon? (Use 3.14 for π) A. 690,800 miles B. 6,908 miles C. 345,000 miles D. 3,454 miles
Answer:
The circumference is 6908 miles.
Step-by-step explanation:
C=πd
C=π*2200
C=3.14*2200
C=6908
Option B is correct.
Answer:
b
Step-by-step explanation: