Answer:
x=8.
Step-by-step explanation:
Distribute the 1/4 to get:
4+3x= 28.
Now, subtract both sides by 4, giving you:
3x= 24.
Divide both sides by 3, resulting in:
x=8.
Answer:
x=8.
Step-by-step explanation:
Distribute the 1/4 to get:
4+3x= 28.
Now, subtract both sides by 4, giving you:
3x= 24.
Divide both sides by 3, resulting in:
What is answer 6x+7-5x=10
Answer:
i think the answer is going to be 3
Step-by-step explanation:
15 / x equals 50 / 4
Answer:
Step-by-step explanation:
Solve for x by cross multiplying.
Exact Form:
x=6/5
Decimal Form:
x=1.2
Mixed Number Form:
x=1 1/5
i hope its correct plz tell me if im wrong
The circumference of a circle measures 11.27π ft.What is the measure of the diameter of this Circle?
what is the distance between the points (1,5) and (5,-4)?
Answer:
[tex]\sqrt{97}[/tex]
Step-by-step explanation:
Using the pythagorean theorem, you can find that the distance between the two points is [tex]\sqrt{(5-1)^2+(5-(-4))^2}=\sqrt{4^2+9^2}=\sqrt{97}[/tex]. Hope this helps!
Answer:
it 95 good luck
Step-by-step explanation:
A line plot titled Household T V Ownership has Number of televisions on the x-axis. There is x about 0, 2 above 1, 4 above 2, 7 above 3, 0 above 4, 1 above 5, 1 above 6, and 0 above 7.
The line plot shows the number of televisions students have at home.
students have two televisions at home.
How many televisions do most students have at home?
televisions
Answer
4
3
Step-by-step explanation:
i did the test.
Determine the longest side in ΔDEF.
A) segment EF
B) segment DE
C) segment FE
D) segment DF
The arithmetic sequence a_ia
i
a, start subscript, i, end subscript is defined by the formula:
a_1 = 5a
1
=5a, start subscript, 1, end subscript, equals, 5
a_i = a_{i - 1} + 2a
i
=a
i−1
+2a, start subscript, i, end subscript, equals, a, start subscript, i, minus, 1, end subscript, plus, 2
Find the sum of the first 700700700 terms in the sequence.
Answer:
492,800
Step-by-step explanation:
Given ith term of an arithmetic sequence as shown:
ai = a(i-1)+2
and a1 = 5
When i = 2
a2 = a(2-1)+2
a2 = a1+2
a2 = 5+2
a2 = 7
When i = 3
a3 = a(3-1)+2
a3 = a2+2
a3 = 7+2
a3 = 9
It can be seen that a1, a2 and a3 forms an arithmetic progression
5,7,9...
Given first term a1 = 5
Common difference d = 7-5= 9-7 = 2
To calculate the sum of the first 700 of the sequence, we will use the formula for finding the sum of an arithmetic sequence.
Sn = n/2{2a1+(n-1)d}
Given n = 700
S700 = 700/2{2(5)+(700-1)2}
S700 = 350{10+699(2)}
S700 = 350{10+1398}
S700 = 350×1408
S700 = 492,800
Therefore, the sum of the first 700 terms in the sequence is 492,800
Final answer:
To calculate the sum of the first 700 terms of the arithmetic sequence, we apply the arithmetic series sum formula using the number of terms (700), the first term (5), and the common difference (2), resulting in a sum of 492800.
Explanation:
To find the sum of the first 700 terms of an arithmetic series, we use the formula for the sum of an arithmetic series: S = (n/2)(a1 + an), where n is the number of terms, a1 is the first term, and an is the last term. Given that a1 is 5, and the common difference d is 2, we can calculate the nth term (an) using the formula for the nth term of an arithmetic sequence: an = a1 + (d)(n - 1).
We know n = 700, d = 2, and a1 is 5. Thus, an = 5 + 2(700 - 1) = 5 + 2(699) = 5 + 1398 = 1403. The sum can then be calculated as S = (700/2)(5 + 1403) = 350(1408) = 492800.
Therefore, the sum of the first 700 terms of the arithmetic sequence is 492800.
what does it take to get brailiest like no one marks it these days
Answer:
you really just have to tell them to and if they are nice they will
Step-by-step explanation:
Answer: A competent person with correct answers
Which situation can be represented by the expression -2 + (-1)−2+(−1)minus, 2, plus, left parenthesis, minus, 1, right parenthesis.
Choose 1 answer:
(Choice A)
A
A badger was in a den 222 feet below ground level. The badger dug a tunnel that went down 111 additional foot.
(Choice B)
B
A badger was in a den 222 feet below ground level. The badger climbed up 111 additional foot.
(Choice C)
C
A badger was on a hill 222 feet above ground level. The badger dug a tunnel that went down 111 foot.
Answer:
Its A
Step-by-step explanation:
Answer:
hola ITS A
Step-by-step explanation:
Which of the following scenarios represents an impulse purchase?
1) Tara goes to the pet store for fish food. She visits the pet adoption center and quickly decides to adopt a dog without considering all of the costs in caring for the dog.
2)Tara goes to the pet store for fish food. She visits the pet adoption center and decides to research the costs in caring for a dog before she adopts one.
3) Tara goes to the pet store for fish food. She visits the pet adoption center and decides to make an affordable donation towards the care of the animals waiting to be adopted.
Answer:
1
Step-by-step explanation:
Answer 1 is an impulse purchase. An impulse purchase is when someone does something just because they feel like it. She doesn't give herself time to think about the outcomes, how much it would cost, the type of dog, nada. She just buys it. Therefore, answer 1 is an example of impulse buying.
A wooden door contains a rectangular window. The width of the window is (x - 2) feet. The area of the window can be represented by x ^ 2 - 3x + 2 .
a. Write a binomial that represents the height of the window.
b. The height of the door is 5 feet more than the height of the window. Write a polynomial that represents the height of the door.
c. The area of the door can be represented by x ^ 2 + 4x . The area is 32 square feet . Find the width and the height of the window.
Answer: height of the door is x+4
Step-by-step explanation:
which lengths can be used directly or indirectly to calculate volume of a hexagon right pyramid select three options
Answer:
A: XY and ST
B: VU and TW
D: TX and WX
Step-by-step explanation:
Just took test.
a) 15/20
b) 20/25
c) 20/25
d) 20/15
Answer:
a 15/20
Step-by-step explanation:
A=25in
B15in
C20in
Answer:
15/20
Step-by-step explanation:
lol
brainiest rate 5 stars , thank me : )
PLZ HELP FASTTT (including brainliest
Solve and graph the inequality 4x – 10 < 18. Which of the following are true about the graph of the solution? Check all that apply. The graph has an open circle at 2. The graph has a closed circle at 2. The graph has an open circle at 7. The graph has a closed circle at 7. The arrow points left. The arrow points right.
Answer:
open circle at 7; arrow points left
Step-by-step explanation:
To Solve:
4x - 10 < 18
+ 10 +10
4x < 28
/4 /4
x < 7 *only flip sign when multiply/divide by negative
< means the arrow will point left and that it will be an open circle
Answer:
Its is C. The graph has an open circle at 7 and E. The arrow points left.
Step-by-step explanation:
Can i get brainliest please?
1000^m / 100^n can be written in the form of 10^z express z in terms of m and n
Answer:
z = 3m - 2n
Step-by-step explanation:
[tex] \frac{ {1000}^{m} }{ {100}^{n} } = {10}^{z} \\ \\ \frac{ {10}^{3m} }{ {10}^{2n} } = {10}^{z} \\ \\ {10}^{3m - 2n} = {10}^{z} \\ \\ 3m - 2n = z \\ \\ \huge \red{ \boxed{z = 3m - 2n}}[/tex]
Identify the x-intercepts of the function graphed below.
A. (-3,0) and (-2,0)
B. (-2,0) and (3,0)
C. (0,0) and (-6,0)
D.(-3,0) and (2,0)
Answer:
(-2,0) and (3,0)
Step-by-step explanation:
The parabola passes through both points on the graph.
Answer:
B. (-2,0) (3,0)
Step-by-step explanation:
thats where the line passes through the X axis
what is the general solution to the differential equation dy/dx= cos(8x)/cos(4y) ?
A. sin =(4y) - sin(8x) = C
B. sin (4y) - 2 sin(8x) = C
C. 2 sin(4y) - sin(8x) = C
D. 2 tan(4y) - sin(8x) = C
Answer:
2sin4y - sin8x = K (C)
Step-by-step explanation:
Given the differential equation
dy/dx= cos(8x)/cos(4y)
This can be solved by using the variable separable method.
Step 1;
Separate the variables
Cos4ydy = cos 8xdx
step 2:
Integrate both sides of the equation
∫cos4y dy = ∫cos8x dx
sin4y/4 = sin8x/8
Step 3:
Add constant of integration to the side containing x variable
sin4y/4 = sin8x/8+ C
Taking sin8x to the other side we have:
sin4y/4-sin8x/8 = C
Multiplying through by 8:
2sin4y - sin8x = 8C
2sin4y - sin8x = K (where K = 8C )
To solve the given differential equation we have apply variable separation method.
The correct option is (c) 2 sin(4y) - sin(8x) = C.
Variable separation:In mathematics, variable separation method used to calculate the partially and ordinary differential function in which we rewrite the equation so that two variable occurs on two side.
Given:
The given differential equation is as follows,
[tex]\dfrac{dy}{dx}=\dfrac{\cos(8x)}{\cos(4y)}[/tex]
How to calculate the Separate the variable?Separate the variable.
[tex]\cos 4y \:dy =\cos 8x\:dx\\[/tex]
Integrate both side of the equation.
[tex]\int \cos4y dy = \int \cos8x dx\dfrac {1}{4}\sin4y = \dfrac {1}{8}\sin8x\\\dfrac {1}{4}\sin4y-\dfrac {1}{8}\sin8x=C\\2\sin4y - \sin8x = 8C[/tex]
Thus, the correct option is (c) 2 sin(4y) - sin(8x) = C.
Learn more about variable separation here:
https://brainly.com/question/18651211
When graphed, which parabola opens downward?
y = –3x2
y = (x – 3)2
y = one-third x squared
y = x2 – 3
The parabola that opens downward when graphed is y = –3x^2, as the negative coefficient of the x^2 term determines the downward opening direction.
The student has asked which parabola opens downward when graphed. The general form of a parabola is y = ax2 + bx + c. The direction in which the parabola opens is determined by the coefficient a of the x2 term. If a is negative, the parabola opens downward, and if a is positive, the parabola opens upward. Looking at the provided equations, we can identify the equation with a negative a value:
y = –3x2 (The coefficient of the x2 term is -3, so this parabola opens downward.)y = (x – 3)2 (The coefficient here is positive after expanding, so this parabola opens upward.)y = one-third x squared (The coefficient is positive 1/3, so this parabola opens upward.)y = x2 – 3 (The coefficient is positive 1, so this parabola opens upward.)Therefore, the equation of the parabola that opens downward when graphed is y = –3x2
(11+i)^2
please help!
Answer:
121 + 22i - 1
Step-by-step explanation:
Expand:
(11 + i)² = (11 + i)(11 + i)
Note that:
i² = -1
Use FOIL method. Multiply first terms, outside terms, inside terms, then the last two terms:
(11)(11) = 121
(11)(i) = 11i
(i)(11) = 11i
(i)(i) = -1
Combine like terms:
121 + 11i + 11i - 1
121 + (11i + 11i) - 1
121 + 22i - 1
121 + 22i - 1 is your answer.
~
A line with a slope of 4 passes through the point (2, 1). What is the equation of this line?
Write your answer using the form y=mx+b.
Please i need help ASAP
Answer:
y = 4x-7
Step-by-step explanation:
We have a slope and a point
m = 4 (2,1)
Using the slope intercept form of the equation
y = mx+b
y = 4x+b
From the point x=2 and y =1
1 = 4(2)+b
1 = 8+b
Subtract 8 from each side
1-8 =8-8+b
-7 = b
We can write the equation by using m=4 and b = -7
y = 4x-7
Answer:
A
Step-by-step explanation:
The width of a swimming pool is 12 feet less than the pool's length. The area of the pool is 540 square feet. What are the dimensions of the pool?
Answer:
30 feet by 18 feet
Step-by-step explanation:
Area = length * width
A = x*w
w = x - 12
A = 540 sq. ft
540 = x * (x -12)
x*x - 12x - 540 = 0
x*x - 12x + 36 - 36 - 540 = 0
(x - 6)^2 - 576 = 0
x - 6 = 24
or x -6 = -24
x = 30 or x = -18
w = 30 - 12 = 18
30 ft by 18 ft
Which polynomial function has a leading coefficient of 1, roots -2 and 7 with multiplicity 1, and root 5 with multiplicity 27
O
f(x) = 2(x + 7)(x + 5)(x-2)
Rx) = 2(x - 7)(x - 5)(x + 2)
Rx) = (x + 7)(x + 5)(x + 5)(x - 2)
f(x) = (x - 7)(x - 5)(x - 5)(x + 2)
The polynomial function with a leading coefficient of 1 and the specified roots and multiplicities is f(x) = (x + 2)(x - 7)(x - 5)^27.
Explanation:The polynomial function you are looking for, which has a leading coefficient of 1, roots at -2 and 7 each with a multiplicity of 1, and a root at 5 with multiplicity 27, is given by the expression:
f(x) = (x + 2)(x - 7)(x - 5)^27
The given roots indicate the factors of the polynomial, and the multiplicity of each root shows how many times that factor is repeated. Hence, the root -2 becomes (x + 2), the root 7 becomes (x - 7), and the root 5 with multiplicity 27 becomes (x - 5)^27. The leading coefficient is 1, which means these factors are not multiplied by any other constant.
Learn more about Polynomial Function here:https://brainly.com/question/30474881
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at high school 40% of the students buy yearbooks. you select 6 students at random. Find P(exactly two buy yearbooks) and P(at least two buy yearbooks). Explain.
Answer:
P(exactly two buy yearbooks) = 0.31104
P(at least two buy yearbooks) = 0.76672
Step-by-step explanation:
We are given that at high school 40% of the students buy yearbooks.
You select 6 students at random.
The above situation can be represented through binomial distribution;
[tex]P(X = r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,.......[/tex]
where, n = number trials (samples) taken = 6 students
r = number of success
p = probability of success which in our question is probability that
students buy yearbooks, i.e; p = 0.40
Let X = Number of students who buy yearbooks
So, X ~ Binom(n = 6, p = 0.40)
(a) Now, Probability that exactly two buy yearbooks is given by = P(X = 2)
P(X = 2) = [tex]\binom{6}{2} \times 0.40^{2} \times (1-0.40)^{6-2}[/tex]
= [tex]15\times 0.40^{2} \times 0.60^{4}[/tex]
= 0.31104
(b) Probability that at least two buy yearbooks is given by = P(X [tex]\geq[/tex] 2)
P(X [tex]\geq[/tex] 2) = 1 - P(X = 0) - P(X = 1)
= [tex]1- \binom{6}{0} \times 0.40^{0} \times (1-0.40)^{6-0}-\binom{6}{1} \times 0.40^{1} \times (1-0.40)^{6-1}[/tex]
= [tex]1- (1 \times 1 \times 0.60^{6})-(6 \times 0.40^{1} \times 0.60^{5})[/tex]
= 1 - 0.04666 - 0.18662
= 0.76672
Is 2 equal to 2 • 7? Explain.
Answer:
No, 2 is not 14
Step-by-step explanation:
Evaluate 2*7 you get 2*7 = 14
but 14 is not 2 so no.
Answer:
no
Step-by-step explanation:
No because, 2 times 7 is 14.
Suppose vanilla beans cost $600 per kilogram. Julie bought 9 grams of vanilla beans. Jacques bought 70 grams of vanilla beans. How much more did Jacques pay for his vanilla beans? A.$5.40 B.$12.00 c.$36.60 D.$42.00
Answer:
The correct option is c,$36.60
Step-by-step explanation:
The key to solving this question lies around measurement conversion,specifically converting grams into its equivalence in kilograms.
1000 grams equal one kilogram
9 grams=9/1000 kg
9 grams=0.009 kg
70 grams=70/1000 kg
70 grams=0.07 kg
Julie pays=$600*0.009=$5.4
Jacques pays=$600*0.07=$42
Jacques pays $36.60 more ($42-$5.4) than Julie paid
Option is wrong because that was what Julie paid
Option D is wrong because that was what Jacques paid
Option B is obviously wrong
1. Complete the inequality below to describe the
domain of the graph shown.
Domain
2. Complete the inequality below to describe the
range of the graph shown.
Range: <_y <5
Domain is the entire span left to right (on the x-axis) that the graph is on. Since the graph goes from x=-4 and ends at x=4, the domain would be from -4 to 4. The circle at -4 is open, so it does not include the point at -4, just everything leading up to it. So, the domain would be
[tex] - 4 < x \leqslant 4[/tex]
The range is similar, it is the entire span that the graph goes up and down (on the y-axis). The graph starts at the bottom at y=-2, and ends at y=5. The bottom point (4,-2) is closed, so the graph includes that point, and the top point (-4,5) is open and doesn't include the point. Therefore, the range would be
[tex] - 2 \leqslant x < 5[/tex]
Answer:
1) -4 2) -2
Step-by-step explanation:
i got it right
Find the HCF of 168 and 196.
Answer:
The HCF of 168 & 196 is 28
Step-by-step explanation:
The factors of 168 are: 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
The factors of 196 are: 1, 2, 4, 7, 14, 28, 49, 98, 196
The highest factor that both 168 and 196 share is 28
Hope this helps :D
Answer:
28
Step-by-step explanation:
168 = 2³ × 3 × 7
196 = 2² × 7²
HCF(168 ; 196) = 2² × 7 = 4 × 7 = 28
PLZ HELP ON THIS QUESTION ASAP PLZ THANKS AND 5 STARS AND WHEN THERES OPTION FOR BRAINLEST ILL GIVE YOU BRAINLEST ASAP WITH ANSWER PLZ 15 POINTS
Answer:
£114
Let me know if it is incorrect so that I can review my answer and fix it! :)
Step-by-step explanation:
20% * £1200 = £240
£1200 + £240 = £1440
£1440 - £300 = £1140
£1140 / 10 = £114
Answer:
£114
Step-by-step explanation:
Total to be paid:
[1200 + (20% of 1200)] - 300
[1200 + (20/100 × 1200)] - 300
1200 + 240 - 300
1140
10 installments
Each:
1140/1
114
Z
What is the distance from (-6, 2) to the origin?
HELP WITH MY MATHS HOMEWORK, ITS A YEAR 7 QUESTION