Answer:
[tex]x=\pm 4\sqrt2[/tex]
Step-by-step explanation:
Left hand side is a positive number. Right hand side is positive. The equation should have real roots. (worst case, the root would be complex, but let's not open that can of worm)
Let's start noticing that [tex]32 = 2^5 =4^2\cdot 2[/tex] and then take the square root of both sides, remembering that we need to take a plus or minus sign ( both a and -a squared give the same result!)
[tex]x= \pm \sqrt{4^2\cdot2}=\pm 4\sqrt2[/tex]
Write inequalities if the amount of of quarts of paint needs to be between 1 and 2 quarts
Answer:
1 ≤ q ≤ 2
Step-by-step explanation:
If q represents the number of quarts of paint needed, the requirement that it be between 1 and 2 can be written ...
1 ≤ q and q ≤ 2
These inequalities can be combined into one compound inequality:
1 ≤ q ≤ 2
__
Additional comment
We have used the usual English language interpretation of "between", which allows the end values to be considered as part of the solution set. That is, 1 quart is sufficient to satisfy the need for "between 1 and 2."
For what value of the variable will the expression 8b-27 be equal to the following? -11
100 POINTS
BRAINLIEST IF CORRECT
Answer:
2
Step-by-step explanation:
8b - 27 = -11
8b = 16
b = 2
The variable b will equal 2
Let's check
8b-27=-118b=-11+278b=16b=2A high school drama club is selling tickets for the spring production. One day the president sold 12 adult tickets and 5 child tickets for a total of $169. The next day the president sold 22 adult tickets and 10 child tickets for a total of $314. Let a represent the cost of one adult ticket. Let c represent the cost of one child ticket. Which system of equations will solve for a and c? 12 a 5 c = 314. 22 a 10 c = 169. 12 a 5 c = 169. 22 a 10 c = 314. 5 a 12 c = 314. 22 a 10 c = 169. 22 a 5 c = 169. 12 a 10 c = 314.
Answer:
12a + 5c = 169
22a + 10c = 314
Step-by-step explanation:
if a = adult tickets and c = children's tickets
12 adult tickets and 5 children's tickets costs 169 dollars
12a + 5c = 169
Also, 22 adult tickets and 10 children's tickets cost 314 dollars
22a + 10c = 314
Answer:
Its D :)
Step-by-step explanation:
Have a good day.
If Ram had 5 apples in house , now calculate the number of apple's in his neighbours house .
Answer:
Ram's neighbors probably had more apples than Ram.
Hence, number of apples in the neighbor's house is equal to [tex] \geqslant 5[/tex].
Step-by-step explanation:
Hello bro ufff.... Finally found u xD-,-
Please include an explanation as well. Thank You!
[tex]A = \frac{B r_{1}r_{2}}{ C {x}^{2} } \\ = > A C {x}^{2} = B r_{1}r_{2} \\ = > r_{1} r_{2} = \frac{A C {x} ^{2} }{B} \\ = > r_{1} = \frac{A C {x} ^{2} }{B r_{2}} [/tex]
Answer:[tex]r_{1} = \frac{A C {x} ^{2} }{B r_{2}} [/tex]
Hope it helps.
Do comment if you have any query.
HELPP ME OOOO ???
Jendbshshshsbbsbdbsnsmznbs slaizgnsmshxfs sucks skzgxs smudge nzjzdcd
Answer:
5 = k2
k = 2.5
happy learning
ticket sales for a local concert totaled $101,244 yesterday. After the ticket window closed today, the cashiers counted 968 tickets sold with a two-day total of $143,836. What is the cost of one concert ticket?
The cost of one concert ticket is approximately $148.59.
The tickets sales for the local sales is totalled $101, 244 yesterday.
ticket sales yesterday = $101244
He sold 968 tickets with a two-days total of $143, 836 (both yesterday and today)
The cost of one ticket can be calculated below:
cost of one ticket = 143,836 / 968
cost of one ticket = 148.590909091
cost of one ticket ≈ $ 148.59
read more: https://brainly.com/question/15471320?referrer=searchResults
find the percentage change of 20 to 25
Answer:
Percentage change should be 25%
Step-by-step explanation:
25 - 20
---------- x 100%
20
5
---- x 100% = 25% increase
20
25 percent increase
the container that holds the water for the football team is 1/3 full. after pouring in 13 gallons of water, it is 5/6 full. how many gallons can the container hold?
If a local tax rate is 4% and you are taxed on your $6000 purchase,
1)what is the tax?
2)What will final bill be?
Answer: Tax(240), Total cost(6240)
Step-by-step explanation:
6000 x .04 =240
240 +6000 = 6240
I have an exercise that asks me: answer true or false, are the Italian regions washed by the sea a whole?
Answer:
Select an answer for each item. If you do not know the answer, you should make an educated guess. At the bottom of the test, you will be given your results. Questions 1-5. Read the following early draft of an essay and then choose the best answer to the question or the best completion of the statement. (1) Seaweed-based fuel could one day power ...
Step-by-step explanation:
Answer:
Is false because the Italian regions are partly bathed by the sea
Step-by-step explanation:
The table below shows a proportional relationship. True or False?
Answer:
True
Step-by-step explanation:
What is Abacus in terms of maths ?
Answer:
An abacus is a calculation tool used by sliding counters along rods or grooves, used to perform mathematical functions. In addition to calculating the basic functions of addition, subtraction, multiplication and division, the abacus can calculate roots up to the cubic degree.
y=x^(2)-8x+15 write in intercept form
The Batpod and The Falcon Cycle are traveling down the
highway. That Batpod can travel at a speed of 4 miles
per minute; while the Falcon Cycle can double that at a
speed of 8 miles per minute. If Falcon gives Batman a 6
minute head start. How long will Batman have traveled
before Falcon catches him?
I need help so I can turn in my Packet?!?!?
Can you please help ASAP. It is very easy
Hello!
Let the number be x.
We multiply it by 5:
5x
Subtract 3:
5x-3
Hope it helps. Ask me if you have any query.
~An excited gal
[tex]MagicalNature[/tex] here to help
an online music store sells 15 songs for $12. Another online music store sells 10 songs for $9. Which online store has the lower cost per song?
Answer:
The second store (10 songs for $9)
Step-by-step explanation:
15 songs/$12 = $1.25 per song
10 songs/$9 = $1.11 per song
Answer:
second
Step-by-step explanation:
second bc if you cross multiply 135>120
HIGH POINTS/WILL MARK BRAINLIEST
Consider the leading term of the polynomial function. What is the end behavior of the graph?
2x^7– 8x^6– 3x^5– 3
Answer:
The leading term is 2x^7. Since n is odd and a is positive, the end behavior is down and up.
helpppp
1) calculate the values of the missing sides And angles in the following triangles And rectangles
Answer:
For the pink triangle, [tex]\alpha +\beta = 90[/tex] degrees
For the yellow triangle, [tex]\beta =35[/tex] degrees
Step-by-step explanation:
You need side lengths to find the rest of the angle measures for the pink triangle and I'm not sure how to find side lengths with coordinates, I'm used to an integer with a unit of measure, maybe someone else could help with that.
please solve for x. possible answers A. 3 B. 10 C. 28
Answer:
The answer is 65.
Maybe there is another option that gives 65?
Step-by-step explanation:
a²+b²=c²
a=33
b=56
33²+56²=c²
1089+3136=c²
4225=c²
√4225 = c
65=c
Half-Price books is having a "sidewalk sale" this weekend. The total cost varies directly with
the number of books purchased. Mrs. Cowger bought 17 books for a total cost of $42.50 If
Mrs. Kesler spends $57.50, how many books did she purchase?
O 6 books
O 12 books
O 40 books
0 23 books
plz help will mark as brainliest
Answer:
B po? I'm not sure ehh hehehe
Answer:
18
Step-by-step explanation:
2y+3y+5y=180
10y/10=180/10
Y=18
We have a right triangle $\triangle ABC$ where the legs $AB$ and $BC$ have lengths $6$ and $3\sqrt{3},$ respectively. Medians $AM$ and $CN$ meet at point $P.$ What is the length of $CP$
By using Pythagoras theorem and distance formula the length of CP is obtained as 3.43 units.
What is Pythagoras Theorem?
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.
To find the length of CP, first find the coordinates of point P, and then use the distance formula to calculate the length of CP.
Let A be at the origin (0, 0), and let B be on the positive x-axis at (6, 0). Then we can find the coordinates of C using the Pythagorean theorem -
AC² + BC² = AB²
AC² + (3√3)² = 6²
AC² = 9
AC = 3
So C is located at (3, 3√3). We can find the coordinates of M by taking the average of the coordinates of A and B, which gives -
M = ((0+6)/2, (0+0)/2) = (3, 0)
Similarly, find the coordinates of N by taking the average of the coordinates of B and C, which gives -
N = ((6+3)/2, (0+3√3)/2) = (4.5, 1.5√3)
Now find the equation of the line passing through M and C, which is the line containing median AM -
slope = (3√3 - 0)/(3 - 0) = √3
y - 0 = √3(x - 3)
y = √3x - 3√3
And find the equation of the line passing through N and A, which is the line containing median CN -
slope = (0 - 3√3)/(0 - 6) = √3/2
y - 0 = (√3/2)(x - 6)
y = (√3/2)x - 3√3
Now, find the intersection point of these two lines, which is point P -
√3x - 3√3 = (√3/2)x - 3√3
x = 6/3.5
x = 12/7
y = √3(12/7) - 3√3
y = 3√3/7
So P is located at (12/7, 3√3/7).
Now use the distance formula to find the length of CP:
CP² = (12/7 - 3)^2 + (3√3/7 - 3√3)²
CP² = (33/7)^2 + (6√3/7)^2
CP² = 1089/49 + 72/49
CP² = 1161/49
CP = √1161/7
Therefore, the length of CP is (approximately) 3.43.
To learn more about Pythagoras Theorem from the given link
https://brainly.com/question/21970437
#SPJ1
-3/4(x+2)=6
What is the answer please explain how u got it
Step-by-step explanation:
1.) distribute (-3/(4x+8)=6)
2.) move 8 (-3/4x=-2)
3.) multiply by 4x (-3= -8x)
4.) divide by -8 (x=2.6)
:)
-4(5+20)=16. S+20=-4. S=
Answer:
s = -24
Step-by-step explanation:
-4(-24 + 20) = 16 TRUE
-24 + 20 = -4 TRUE
(Are there any options for the missing description bit? I'm a little confused what needs to be answered there)
Colby and Cheryl work in different local factories. Colby regularly earns $18 per hour, and he is paid time-and-a-half for each hour of overtime he works. Cheryl regularly
earns $16.60 per hour, and she is pald double time for an hour of overtime. Who earns more for one hour of overtime?How much more?
.85
Answer: Cheryl earns $6.20 more per hour.
Step-by-step explanation:
$/hr OT $/hr OT
18 1.5 27
16.6 2 33.2
Cheryl wins the overtime pay rate with $33.20/hr OT (OverTime). She earns $6.20 more per hour. [How's it feel, Colby?].
Cheryl earns more from overtime than Colby by $6.2 per hour.
Given that,
Colby regularly earns $18 per hour, and he is paid time-and-a-half for each hour of overtime he works.
Cheryl regularly earns $16.60 per hour, and she is paid double time for an hour of overtime.
To determine who earns more for one hour of overtime and wow much more.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
From given
The factor of earning overtime for Colby = 1.5
earning of from overtime for an hour of Colby = 18 * 1.5 = $27
The factor of earning overtime for Cheryl = 2
earning of from overtime for an hour of Cheryl = 16.60 * 2= $33.20
So,
33.20 > 27
Implies
Their overtime earnings
of Cheryl is greater than Colby's by 33.20 - 27 = $6.2 per hour.
Thus, Cheryl earns more from overtime than Colby by $6.2 per hour.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
Find the slope-intercept equation of the line that has a slope of -2 and goes through the point (5,-2).
8.
Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms.
y = (3x + 4)(−2x − 3)
A. linear function; linear term: −17x; constant term: −12
B. quadratic function; quadratic term: 12x^2; linear term: 18x; constant term: −12
C. quadratic function; quadratic term: −6x^2; linear term: −17x; constant term: −12
D. linear function; linear term: −6x^2; constant term: −12
Answer:
C. quadratic function; quadratic term: −6x^2; linear term: −17x; constant term: −12
Step-by-step explanation:
Answer:
quadratic function; quadratic term: −6x² ; linear term: −17x; constant term: −12
Step-by-step explanation:
The given function is
We need to expand the RHS to get:
We can see that the degree of this polynomial function is 2 and hence it is a quadratic function.
The quadratic term is -6x²
The linear term is -17x
The constant term is -12
An arithmetic sequence is given below.
15, 19, 23 ,27 …
Write an explicit formula for the nth term an
Step-by-step explanation:
arithmetic sequence means every new term is the previous term plus a certain constant.
as we can see, this constant is +4 in our case.
15 + 4 = 19
19 + 4 = 23
23 + 4 = 27
...
so, we have
a1 = 15
a2 = a1 + 4 = 15 + 4 = 19
a3 = a2 + 4 = a1 + 4 + 4 = a1 + 2×4 = 15 + 8 = 23
...
an = an-1 + 4 = a1 + (n-1)×4 = 15 + (n-1)×4
Solve for the unknown side of each right triangle
Answer:
x = 4.4 cm
Step-by-step explanation:
Since this is a right triangle, the Pythagorean Theorem applies: a^2 + b^2 = c^2, where a and b are leg lengths and c is the length of the hypotenuse.
Thus, (5.3 m)^2 + x^2 = (6.9 m)^2, or, solving for x^2:
x^2 = (6.9 m)^2 - (5.3 m)^2, or
x^2 = 47.61 - 28.09 = 19.52
Then the length, x, of the unknown side is x = +√19.52 m, or
x = 4.4 cm