Answer:
The 7th term of this geometric progression is -486
Solve (x – 3)2 = 49. Select the values of x. –46 -4 10 52
Answer:
-4, 10.
Step-by-step explanation:
(x – 3)^2 = 49
x - 3 = ±√49
x = 3 ± 7
= -4, 10.
How many solutions are there to the equation below?
6x+ 33 = 6(x+6)
A. Infinitely many solutions
B. No solution
C. One solution
Lily has a mask collection. She keeps some in a display case and the rest on the wall. 365 of her masks are on the wall, and 27% of her masks are in the display case. What is the total number of masks in Lily's collection?
Step-by-step explanation:
this answer is that correct
brain lest
If 365 of her masks are on the wall, and 27% of her masks are in the display case. Then 467 marks are the total number of masks in Lily's collection
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
Lily keeps masks in a display case and the rest on the wall.
365 of her masks are on the wall.
27% of her masks are in the display case
We need to find what is 27% of 365 to solve this problem
27/100×365=0.27×365
=98.55
Now we need to find the total number of masks in Lily's collection
365+98.55
463.55
467
Hence, 467 are total number of masks in Lily's collection.
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What is the area of triangle def? round to the nearest tenth of a square unit. 10.3 square units 18.0 square units 20.0 square units 20.6 square units
The area of the triangle def round to the nearest tenth of a square unit is 10.3 square units.
What is the formula for area of a triangle?When the two sides and an angle of a triangle is known, then the area of the triangle can be found out with the following formula.
[tex]A=ab\sin\left(\dfrac{C}{2}\right)[/tex]
Here, a,b are the adjacent sides and C is the angle made between them.
The image of the triangle DEF is attached below. In this the two adjacent sides are given with the length 5 units ans 8 units long.
The angle made between them has the measure of 31 degrees. Put the values in the above formula as,
[tex]A=(5)(8)\sin\left(\dfrac{31}{2}\right)\\A=10.3\rm\; unit^2[/tex]
Hence, the area of the triangle def round to the nearest tenth of a square unit is 10.3 square units.
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Answer: A, 10.3
Step-by-step explanation: edge 2022
Please help, I’ll mark your answer as brainliest.
Answer:
it'sssssss 2.51
Step-by-step explanation:
========≈==================
Is u = 1a solution to the inequality below
u>8
PLEASE HELP ASAP
Answer:
No
Limit given:
u > 8point:
u = 1This value of u = 1 does not fall under the condition, "u is greater than 8".
Number line:
Answer:
No
Step-by-step explanation:
The given inequality is :
u > 8Therefore, the only solutions to this inequality must be greater than 8.
On substituting u = 1 in the inequality,
1 > 8This is not true, as 8 is clearly the greater valueu = 1 is not a solution to the inequalityAnyone know the answer to all of them added together
Answer:
13x + 14
Step-by-step explanation:
5x + 6 + 3x = 8x + 6.
8x + 6 + x + 1 + x + 1 + 2= 10x + 10
10x + 10 + (2²)(i think) = 10x + 14
10x + 14 + 3x = 13x + 14
final answer
Answer:
[tex]13x+14[/tex]
Step-by-step explanation:
First take all the sides and add:
[tex]5x+6+3x+3x+2+2+2+x+1+x+1[/tex]
Then Combine Like terms:
[tex]5x+3x+3x+x+x+6+2+2+2+1+1[/tex]
There is your answer:
[tex]13x+14[/tex]
(If I misunderstood the handwriting, please tell me, and I will fix my mistakes)
3 Jade buys a blouse and a skirt for of their original price. She pays a total of $31.50 for the two items. If the original price of the blouse is $18, what is the original price of the skirt?
Answer:
$13.50
Step-by-step explanation:
if the total is $31.50, it is both the blouse and the skirt together, so uf you take away the blouse from the total ($31.50 - $18) then yiu are keft with the price of the skirt
Write any two necessary condition for collinearity.
Collinear points: Three points A, B and C are said to be collinear if they lie on the same straight line.
There points A, B and C will be collinear if AB + BC = AC as is clear from the adjoining figure.
In general, three points A, B and C are collinear if the sum of the lengths of any two line segments among AB, BC and CA is equal to the length of the remaining line segment, that is, either AB + BC = AC or AC +CB = AB or BA + AC = BC.
In other words,
There points A, B and C are collinear if:
(i) AB + BC = AC i.e.,
Or, (ii) AB + AC = BC i.e. ,
Or, AC + BC = AB i.e.,
You roll a number cube and then spin a spinner with two equal-sized sections.
What is the probability of rolling a number greater than 3 and spinning red?
A. 1/4
B. 1/6
C. 1/3
D. 1/2
Please explain how got the answer
Answer:What is the probability of spinning a 2 on the spinner?
Image result for You roll a number cube and then spin a spinner with two equal-sized sections. What is the probability of rolling a number greater than 3 and spinning red? A. 1/4 B. 1/6 C. 1/3 D. 1/2
There are 2 sections on the spinner that contain a '2'. The probability of spinning a 2 is 2 / 8 . The probability of spinning a 3 is also 2 / 8
Step-by-step explanation:
The probability of rolling a number greater than 3 and spinning red is 1/4.
We need to determine the favorable outcomes (the outcomes that satisfy both conditions) and the total possible outcomes.
The numbers greater than 3 and corresponding to the red section are: 4R, 5R, and 6R. So, there are 3 favorable outcomes.
Since we have a number cube with 6 sides and a spinner with 2 sections, the total possible outcomes are the product of the number of sides on the cube and the number of sections on the spinner, which is 6 × 2 = 12.
The probability is calculated by dividing the number of favorable outcomes by the total possible outcomes.
Probability = Favorable outcomes / Total possible outcomes
= 3 / 12
= 1 / 4
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There are 49 students had their lunch in the cafeteria. One-
seventh of them brought lunches from home. How many
students brought lunches from home? students
Mr. Polland has a square bulletin board where he posts pictures from previous
performances. If the bulletin board has a side that measures 19ft, how much space
does Mr. Polland have to post pictures?
Which of the following linear equations represents the data chart?
Answer:
option C
Step-by-step explanation:
y = -x + 7
Hope this helps you
In 2001 Arnold was x years old. Ken is 34 years younger than Arnold. In 2013 Arnold is three times as old as Ken. Write down an equation in x and solve it.
Answer:
x = 54
Step-by-step explanation:
x/3 = x-36
x= 3x-36.3
2x= 36.3
x = 18.3
x = 54
Answer:
(x +12) = 3((x -34) +12)x = 39Step-by-step explanation:
The given age ratio is valid 12 years after the age at which Arnold was x years old. When Arnold was x, Ken was x-34.
(x +12) = 3((x -34) +12) . . . . . the age relation in 2013
__
Solving for x, we have ...
x +12 = 3x -102 +36
78 = 2x . . . . . . . add 66-x
39 = x
In 2001, Arnold was 39 years old.
_____
Additional comment
In 2001, Arnold was 39 and Ken was 5. Ken is 34 years younger.
In 2013, Arnold was 51 and Ken was 17. Arnold was 3 times Ken's age.
Which equation matches the table TOP: 4,8,12,16 BOTTOM:8,12,16,20
Answer:
C. b= a+4
Step-by-step explanation:
The sides of a square are 12 feet long. Find the new side
length after it is increased by 40%.
Answer:
16.80 ft long
Step-by-step explanation:
Evaluate the line integral, where c is the given curve. ∫c x sin(y)ds, c is the line segment from (0, 1) to (4, 4)
From calculations, the given integral ∫c x sin(y)ds is equal to [tex]20\left(-\frac{1}{3}\cos \left(4\right)+\frac{1}{9}\sin \left(4\right)-\frac{1}{9}\sin \left(1\right)\right)=0.806[/tex].
Integration
The integrals are the opposite of derivatives. They are used in several applications, like: calculations of areas, volumes and others.
For solving an integration, you should know its rules. For this question will be necessary to apply the following integration rules:
For constant function - ∫b dx = b ∫ dx= bx+CFor sin function - ∫sin(x) dx = cos(x) + CFor integration by parts - ∫u v dx = uv -∫v duFirst, you should calculate the segment from the points (0, 1) and (4, 4).
segment=(4-0,4-1)=(4,3).
After that you should parametrize the segment:
r(t)=(0,1)+(4t,3t)= (4t,3t+1), where 0≤t≤1
Now, you can find dr/dt.
r'(t)=(4,3)
Consequently, the magnitude of |r'(t)| will be:
|r'(t)| =[tex]\sqrt{4^2+3^2}=\sqrt{16+9}=\sqrt{25} =5[/tex]
Finally you can evaluate the integral: ∫c x sin(y)ds. From r(t), you know that x=4t and y=3t+1.
[tex]\int _0^1\:xsin\left(y\right)\:ds=\int _0^1\:4t\cdot sin\left(3t+1\right)\:\cdot 5ds=\int _0^1\:20t\cdot sin\left(3t+1\right)\:\cdot ds[/tex]
Applying the Rule Integration for a Constant.
[tex]\int _0^1\:20t\cdot sin\left(3t+1\right)\:\cdot dt\\ \\ 20\cdot \int _0^1t\sin \left(3t+1\right)dt\\ \\[/tex]
Applying the Rule Integration by Parts.
∫u v dx = uv -∫v du
u=t
dv= sin(3t +1 )dt, then v=
[tex]=20\left[-\frac{1}{3}t\cos \left(3t+1\right)-\int \:-\frac{1}{3}\cos \left(3t+1\right)dt\right]^1_0\\ \\=20\left[-\frac{1}{3}t\cos \left(3t+1\right)+\frac{1}{9}\sin \left(3t+1\right)\right]^1_0\\ \\ =20\left(-\frac{1}{3}\cos \left(4\right)+\frac{1}{9}\sin \left(4\right)-\frac{1}{9}\sin \left(1\right)\right)\\ \\ =0.806[/tex]
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The value of the integral ∫c x sin(y)ds where c is the curve is 0.806 if the line segment is from (0,1) to (4,4).
What is integration?It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.
First, we have to calculate line segment (0,1 ) to (4, 4)
= (4-0, 4-1) = (4, 3)
Parametric form of the segment:
P(t) = (0+4t, 3t) where 0 ≤ t ≤ 1
Now differentiate the segment:
P'(t) = (4, 3)
The magnitude of the P'(t)
[tex]\rm P'(t) = \sqrt{4^2+3^2}[/tex]
P'(t) = 5
Now the integration can be evaluated from the P(t)
[tex]\rm \int\limits^1_0 {xsin(y)} \, ds = \int\limits^1_0 {4tsin(3t+1)} \, 5ds[/tex] ( x= 4t, y = 3t+1)
[tex]\rm \int\limits^1_0 {xsin(y)} \, ds = 20\int\limits^1_0 {tsin(3t+1)} \, ds[/tex]
The value of the integration:
[tex]\rm \int \limits^1_0 {tsin(3t+1)} \, ds = 0.040[/tex]
[tex]\rm \int\limits^1_0 {xsin(y)} \, ds = 20(0.04)[/tex]
[tex]\rm \int\limits^1_0 {xsin(y)} \, ds =0.806[/tex]
Thus, the value of the integral ∫c x sin(y)ds where c is the curve is 0.806 if the line segment is from (0,1) to (4,4).
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What is the square of the sum of the first 5 Square numbers?
Answer:
3025
Step-by-step explanation: Add the first five square numbers together then square that.
1²+2²+3²+4²+5² = 55
55² = 3025
How do you write
–514 11/12 as a decimal
Answer:
what does the -514 relate with 11/12?
Step-by-step explanation:
11/12 written as a decimal is .91
Answer:
It would be -514.916 with a _ over the six.
Step-by-step explanation:
11/12 is equal to 0.916666, where the six goes on forever. This is called a repeating decimal. In a repeating decimal, you would put this symbol _ over the number that repeats, in this case, 6. Or you would round, but that"s not given in this question.
Jack took a test and got 13 out of 17 points. He took a make-up test and got 12 out of 15 points. The percent of increase in Jack's score is about ___
A 3.596%
B 4.696%
C 5.996%
D 6.7%
Answer:
4.696% (B)
Step-by-step explanation:
13/17 = 0.76470588
12/15 = 0.8
0.8 - 0.76470588 = 0.03529412
0.03529412 / 0.76470588 = 0.04615285
0.04615285 · 100 = 4.61538494
(I rounded 13/17, the closest answer is 4.696)
percentage increase:
final value - starting value / starting value · 100
The algebra tiles represent the perfect square trinomial x2 10x c. what is the value of c? c =
The value of c for which the considered trinomial becomes perfect square trinomial is: 20 or -20
What are perfect squares trinomials?They are those expressions which are found by squaring binomial expressions.
Since the given trinomials are with degree 2, thus, if they are perfect square, the binomial which was used to make them must be linear.
Let the binomial term was ax + b(a linear expression is always writable in this form where a and b are constants and m is a variable), then we will obtain:
[tex](ax + b)^2 = a^2x^2 + b^2 + 2abx[/tex]
Comparing this expression with the expression we're provided with:
[tex]x^2 + 10x + c[/tex]
we see that:
[tex]a^2 = 1 \implies a = \pm 1\\b^2 = 10\\b = \pm 10\\2ab = c\\\pm2(10)1 = c\\c = \pm 20\\[/tex]
Thus, the value of c for which the considered trinomial becomes perfect square trinomial is: 20 or -20
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I really need some help on this
since the shape made by the angles is a quadrilateral, or namely a polygon of 4 sides, hmmm the sum of all interior angles in a polygon is
180(n - 2)
n = number of sides
so that polygon has a total of interior angles of 180(4 - 2) = 360.
Check the picture below.
a triangle has angle measurements of 61°, 84°, and 35°. is this triangle isosceles?
Answer: No
Step-by-step explanation:
This is not an isosceles triangle because there are different angle measurements. The rule of an isosceles triangle is that it must always have two equal sides and angles.
Elissa needs 8.5 inches of thread to make a friendship bracelet. What is the maximum number of bracelets she can make with 40 inches of thread?
Answer:
4
Step-by-step explanation:
Elissa uses 8.5 inches of thread per bracelet.
She has 40 inches of thread.
To find the maximum number of bracelets she can make, we need to divide.
40 / 8.5 = 4.70588...
We cannot have an unfinished bracelet, so we have to round down.
She can make 4 bracelets with 40 inches of thread.
Answer:
4 bracelets
Step-by-step explanation:
if 8.5 inches makes 1 friendship bracelet
what about 40inches
8.5inches=1 bracelet
40 inches=?
cross mulltiply
40x1
-------
8.5
=4 12/17 bracelets
12/17 of a bracelet is not a complete one
=4 complete friendship bracelets
aaaaaand 4 happy friends
ype the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
A science lab has several beakers containing different amounts of the same liquid, as shown in the line plot.
If all the liquid from the beakers is poured into one empty container that can hold exactly 4 liters, how much more liquid can the container hold?
liter(s)
Answer:
4/8 or 1/2
Step-by-step explanation:
Convert all size to x/8
1/4=2/8 and 1/2=4/8
Multiply size of beaker by how many there are filled
1/8 * 2= 2/8
2/8*7= 14/8
4/8*3 =12/8
then add all of them together = 28/8
convert 4 liters to 32/8
Subtract 32/8 - 28/8 = 4/8
Part 2. Show your work in solving the equation. Include the work to check your solution and show that your solution is extraneous. that has an extraneous solution. that does not have an extraneous solution. Part 3. Explain why the first equation has an extraneous solution and the second does not.
Extraneous solutions are the values that we get when solving equations which aren't really solutions to the equation.
What are extraneous solutions?Your information is incomplete. Therefore, an overview will be given. An extraneous solution is the root of a transformed equation which is not a root of the original equation since it was excluded from the domain of the original equation.
The reason extraneous solutions exist is simply that some operations produce extra answers, and these operations are a part of the path to solving the problem.
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help asap please)
The vertices of a trapezoid are shown below.
P(0,0),Q(4,0),R(4,6),S(0,12)
This trapezoid is dilated about the origin by a scale factor of 4. What is the location of point P?
A. (0,0)
B. (4,0)
C.(4,4)
D.(0,4)
Answer: A
Step-by-step explanation:
You can multiply the coordinates by 4, giving (0,0)
Explain how you can tell if the expressions 7x – 4 and 6x – 4 – x are equivalent.
Hey there!
Combine Like Terms and see if the expressions are equivalent or not.
6x-4-x
6x-x-4
5x-4
Is 5x-4 equivalent to 7x-4? No.
Hope everything is clear.
Let me know if you have any questions!
Always remember: Knowledge is power!
Answer:
Given; 7x – 4 and 6x – 4 – x
To Find; how you can tell if the expressions 7x – 4 and 6x – 4 – x are equivalent
Solution; This question can be easily solved by letting some value of x and putting in both the equation to check whether both are equal or not
Let x=1
7x-4=3 and 5x-4=1
Since both are not equal Hence the given equations are not equalnation:
Alison had 310 rocks in her rock collection. After three months, her collection increases by 40%. How many rocks does Alison have now?
Answer:
434
Step-by-step explanation:
310 times .4 (percentage) = 124 which is how much she gained, then you add that onto the original amount to find how many she has now, which is 434
Please help answer this and give explanations. 20+ Points
Answer:
7 pairs of shoes
Step-by-step explanation:
So your equation is P(x) = -6x² + 60x - 126. This is a parabolic function, and it looks like we can factor it.
First, let's factor out -6 from the equation to simplify it. If we divide each part of the equation by -6, that leaves us with -6(x² - 10x + 21).
Now, we can factor the equation further by finding two numbers that add up to -10 and multiply to get 21. We know that both have to be negative numbers since they add up to a negative number and multiply to a positive one. The numbers you get are -3 and -7, making the equation P(x) = -6(x-3)(x-7).
x = 3 or 7. To maximize profit, you should sell 7 pairs of shoes.
Hope this helps! :)