Answer:
x = 3
Step-by-step explanation:
3(2x + 5) = 33
3 * 2x + 3 * 5 = 33
6x + 15 = 33
6x = 33 - 15
x = 18 / 6
x = 3
#_Factor the quadratic binomial 3x2 - 48.
Then, find one of its factors.
Answer:
3(x - 4)(x + 4)
Step-by-step explanation:
[tex]3 {x}^{2} - 48 \\ = 3( {x}^{2} - 16) \\ = 3( {x}^{2} - {4}^{2} ) \\ = 3(x - 4)(x + 4)[/tex]
Find BC. A. 22.5 in B. 29 in C. 30 in D. 28 in
Answer: B. 29 mi (which you typed 29 in)
Step-by-step explanation:
Use law of cosine to solve: a²=b²+c²-2bc·cosA (the corresponding angle)
a²=19²+12²-2×19×12×cos (138)
a²=361+144-456cos(138)
a²=505-456cos(138)
a²=843.874 (rounded)
a=29 mi
Mr. Ondonez gives his math students 34 quizzes during 17 weeks of school if he gave the same number because it each week how many quizzes does Mr.Ondonez give his students every week
Answer:
2 quiz
Step-by-step explanation:
Mr Ondonez gives his students 34 quizzes over 17 weeks. They are given the same number of quiz per week. To calculate the number of quiz given per week, we have to divide the total number of quiz given by the total number of weeks. Therefore:
Number of quiz per week = Total number of quiz / Total number of weeks
Number of quiz per week = 34 / 17 = 2
The students are given 2 quizzes per week.
Answer:
2 quiz
Step-by-step explanation:
Mr. Dun ford will give 6 pencils to each of his 30 students in his class. There are 12 pencils in each box he will order. He has 24 pencils left from another class. How many boxes of pencils should he order?
Answer:
The answer is 4
Step-by-step explanation:
Find the quotient of n(x) = 6x^5y^7 and m(x) = 2x^3y
a. Is n(x) a polynomial? If not, give an explanation.
b. Is m(x) a polynomial? If not, give an explanation.
c. Is the quotient a polynomial? If not, give an explanation.
d. If the quotient is a polynomial, identify type and degree.
Pls help with this!!!
Answer:
a. Yes
b. Yes
c. Yes
d. Degree 8
Step-by-step explanation:
a. Yes, n(x) is a polynomial of one single term (also called monomial) because it contains variables raised to positive integers.
b. Yes, m(x) is a polynomial of also one single term (also called monomial) because it contains variables raised to positive integers.
c. The quotient of n(x) / m(x) can be reduced to a polynomial of one single term as follows:
[tex]\frac{n(x)}{m(x)} =\frac{6\,x^5\,y^7}{2\,x^3\,y} =3\,x^2\,y^6[/tex]
which as can be seen, also contains variables raised to positive integers.
d. The degree of the polynomial resultant is the addition of the powers of all variables present (x and y) which results in: 2 + 6 = 8
Therefore the degree of this polynomial is 8.
1) 5x + 12 = -33
whats the answer to this ?? please help
Answer:
[tex]x=-9[/tex]
Step-by-step explanation:
[tex]5x+12=-33[/tex]
Subtract 12 from both sides. The left side cancels:
[tex](5x+12)-12=(-33)-12\\5x=-45[/tex]
Divide both sides by 5. The left side cancels:
[tex](5x)/5=(-45)/5\\x=-9[/tex]
The value of x is -9.
Members of a community center have decided to paint a large circular mural in the middle of the parking lot. The radius of the mural is to be 11 yards. Before they begin painting the mural, they use a rope to form the outline. How many yards of rope will they need?
Answer:
69.124 yards of ropeStep-by-step explanation:
This problem bothers on the mensuration of flat shapes, circles.
given that the members of the community used rope as outline for the circular shape mural.
we can tell that the perimeter of the mural is same as the perimeter of the rope.
Hence the length of rope used is same as the perimeter of the circular mural.
we know that the perimeter of a circle is given as
[tex]C=2\pi r\\\\[/tex]
substituting radius r= 11 yards
we have
[tex]C= 2*3.142*11\\\\C= 69.124 yards[/tex]
Use the i formation major of 1..... look at picture
Explanation:
You basically plug in x = 20, which is the same as saying "replace x with 20". Then you perform arithmetic to simplify each expression. Both simplify to 90, so angle 1 and angle 2 are the same measure. These angles are alternate interior angles, so we'll use the converse alternate interior angle theorem to conclude the lines are parallel.
Note: the alternate interior angle theorem says that if we have parallel lines, then the alternate interior angles are congruent. So the converse goes in reverse of this.
Pls help I will mark brainliest
Elle and Jude formed a company and agreed that their annual profit will be shared in the ratio 4:5 respectively.If the end of the year Jude received $5000.00 more than Elle how much was Elle's share
Answer:
$20000
Step-by-step explanation:
Let Elle received $x
Therefore, Jude received (x + 5000)$
[tex] \because x : (x + 5000) = 4 :5[/tex]
[tex] \therefore \frac{x}{(x + 5000)} = \frac {4}{5}[/tex]
[tex] \therefore 5x = 4(x + 5000)[/tex]
[tex] \therefore 5x = 4x + 20000[/tex]
[tex] \therefore 5x - 4x = 20000[/tex]
[tex] \therefore x = \$20000[/tex]
Therefore, Elle's share = $20000
PLEASE help me. I am stuck on this question for a long time.
Answer: Plot 1
Step-by-step explanation:
#1 Find the median of the whole set
- since there are 31 data, it is odd, we just need to find the 16th data which is 73.
- the median is 73
#2 Find the median of Less than Q2
- since there are 15 data, it is odd, we just need to find the 8th data which is 64
- the median is 64
#3 Find the median of more than Q2
- since there are 15 data, it is odd, we just need to find the 8th data which is 84
- the median is 84.
-----------------------------------
Putting it back to the box and whisker plot, it will be plot 1
PLEASE HELP ASAP PLEASE
Answer:
t = (q - r) / rs
Step-by-step explanation:
Right now you have q=rst+r so if you want to find t you must move the variables around. Like this:
q=rst+r (or r+rst)
so so get rid of the r first
like this: (q-r)=rst
divide by rs to find t
so t=(q-r)/rs
Please answer it as soon as possible.
1. a^4+1+1/a^4
Evaluate −5+(−2). The solution is .
Answer:
-7
Step-by-step explanation:
-5 + (-2)
You are adding two negative numbers, -5 and -2.
Find their absolute values: 5 and 2.
Add the absolute values: 5 + 2 = 7
The answer is negative: -7
-5 + (-2) = -7
1/8x-5/6=2x solve for X
Answer:
x= -4/9
Step-by-step explanation:
HOPE THIS HELPS!!!! :)
<3333333333
Write the rational number 0.3 in the form ab , where a and b are integers.
Answer: 3/10
Step-by-step explanation:
Given a decimal number 0.3
To Write the rational number 0.3 in the form ab , where a and b are integers, take it to be :
0.3 /1
Multiply the numerator and the denominator by 10
0.3/1 × 10/10 = 3/10
Therefore, a = 3 and b = 10
the rational number 0.3 in the form ab , where a and b are integers is
3/10
Select the expression that is equivalent to x + x + y × y × y. Question 11 options: (a)x^2 + 3y (b)2x + 3y (c)x^2 + y^3 (d)2x + y^3
x+x+y.y.y = 2x+y^3 ( y cube)
So, The answer is (d)
help pleaseeee i don’t know
Answer:
B. how long the toy rang
Step-by-step explanation:
In order to test the battery, you need to see which will last the longest. Therefore, you should time how long it rang.
The vertices A, B, C of a triangle are (2,1),(5,2),and (3,4) respectively . Find the coordinate of the circumcentre and also the radius of the circum-circle of the triangle
Answer:
Circumcenter = (4,0)
Circumcircle = √5
Step-by-step explanation:
The circumcentre is the point of intersection of the perpendicular bisectors of a triangle. The vertices of the triangle are equidistant to the circumcentre.
Let us assume the coordinate of the circumcentre is at O(x, y). Therefore the distance between the cirmcumcenter and the vertices are:
[tex]AO=\sqrt{(x-2)^2+(y-1)^2} =\sqrt{x^2-4x+4+(y^2-2y+1)}\\=\sqrt{x^2+y^2-4x-2y+5} \\\\BO=\sqrt{(x-5)^2+(y-2)^2} =\sqrt{x^2-10x+25+(y^2-4y+4)}\\=\sqrt{x^2+y^2-10x-4y+29} \\\\CO=\sqrt{(x-3)^2+(y-4)^2} \\=\sqrt{x^2-9x+9+(y^2-8y+16)}=\sqrt{x^2+y^2-9x-8y+25} \\[/tex]
AO = BO, therefore
√(x² + y²-4x-2y+5) = √(x² + y² - 10x - 4y + 29)
x² + y²-4x-2y+5 = x² + y² - 10x - 4y + 29
6x + 2y = 24 (1)
BO = CO
√(x² + y² - 10x - 4y + 29) = √(x² + y² - 9x - 8y + 25)
x² + y² - 10x - 4y + 29 = x² + y² - 9x - 8y + 25
-x + 4y = -4 (2)
Multiply equation 2 by 6 and add to equation 1:
26y = 0
y=0
Put y = 0 in -x + 4y = -4
-x + 4(0) = -4
x = 4
The cicumcenter is at (4, 0)
The radius of the circumcircle = AO = BO = CO. Therefore:
[tex]Radius=AO=\sqrt{(4-2)^2+(0-1)^2} =\sqrt{4+1}=\sqrt{5}[/tex]
Determine the form of the following quadratic equation, and identify the values for the key characteristic of the parabola revealed by that form. f(x)=(2x−1)(x+6)
Answer:
1) The equation is given in factored form
2) The key characteristics of the parabola are;
a. The parabola has 2 real roots and extends to infinity on both sides
b. The x-intercepts of the parabola are (1/2, 0) and (-6, 0)
c. The y intercept is (0, -6)
d. The vertex point is (-2.75, -21.125)
Step-by-step explanation:
The given equation is f(x) = (2·x -1)(x + 6)
Therefore the equation is given in factored form
The key characteristic of the parabola revealed from the form f(x) = (2·x -1)(x + 6) are;
1) Writing the parabola in the intercept form, a(x - p)(x -q) we have;
f(x) = (2·x -1)(x + 6) = 2·(x - 1/2)(x + 6)
p = 1/2, q = -6
Therefore;
Given that a is positive the parabola is concave upwards
2) a. The parabola has 2 real roots and extends to infinity on both sides
b. The x-intercepts of the parabola are p and q which are (1/2, 0) and (-6, 0)
c. The y intercept is a·(-p)·(-q) = 2×(-1/2)×6 = -6
The y intercept is (0, -6)
d. Expanding we get;
f(x) = 2·x² + 11·x - 6
From the
The vertex is h = -b/(2·a) = -11/(2×2) = -2.75
h(2.75) = 2×(-2.75)² + 11×(-2.75) - 6 = -21.125
Therefore, the function is symmetrical about the vertex point (-2.75, -21.125)
Both the Galapagos Islands and the island of Naura are on the equator, but the Galapagos Islands are at 90.30°W whereas the island of Naura is at 166.56°E. How far is it from the Galapagos Islands to Naura traveling over the Pacific ocean along the equator, correct to the nearest km?
Answer:
11521 km
Step-by-step explanation:
The computation is given below:
But prior to reaching the final solution first the following calculations need to be computed
Angle between the Galapagos and Nauru is
= 90.30° + 166.56°
= 256.86°
As we know that the total of angles is 360 degrees
Now the major arc and the minor arc is
= 360° - 256.86°
= 103.14°
So, the angles between galapagos islands is
= 180° - 90.30°
= 89.70°
And, angles between the naura island is
= 180° - 166.56°
= 13.44°
Now the sum of this two island is
= 89.70° + 13.44°
= 103.14°
Therefore The length is
[tex]= \frac{\pi r}{180^{\circ}} \times \theta \\\\ = \frac{6,400 \pi}{180^{\circ}} \times 103.14^{\circ}[/tex]
= 11521 km
Help !!!!!!!!!!!!!!!!
Answer:
Hey there!
5(v+3)-10v>-10
5v+15-10v>-10
-5v+15>-10
-5v>-25
v<5
Let me know if this helps :)
Answer:
[tex]\Huge \boxed{v < 5}[/tex]
Step-by-step explanation:
5(v + 3) - 10v > -10
Expand brackets.
5v + 15 - 10v > -10
Combine like terms.
-5v + 15 > -10
Subtract 15 from both parts.
-5v > -25
Divide both parts by -5 (flip sign).
v < 5
9c+3b+4-3c
I’m trying to combine like terms
Answer:
6c + 3b + 4
Step-by-step explanation:
First, you can group like terms:
9c + 3b + 4 - 3c -----> (9c - 3c) + (3b) + (4)
Then you can add terms:
(9c - 3c) + (3b) + (4) = (6c) + (3b) + (4) = 6c + 3b + 4
Hope this helps!!!
the answer is 3b+6c+4
Chiang is filling a 50 ft3 container with water at a rate of 0.5 ft3/min. Interpret
the key features for this situation.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the expression :
Chiang is filling a 50 ft3 container with water at a rate of 0.5 ft3/min. Interpret
50 ft^3 represents the volume of the container which is a product of its length, width and height. The rate is said to be 0.5ft^3 /min. The stated rate represents the volume of the container which Chiang fills each minute. The rate could be obtained by taking the proportion of the entire volume of the container and the time it takes Chiang to fill it.
Here, it will be :
Rate = ( volume of container (ft^3) / time taken (minutes))
Hence 0.5ft^3/min means on average Chiang's fills a volume of 0.5ft^3 of the container each minute.
If the lengths of PW and PQ are given, can the length of QW be determined?
Answer:
Yes
Step-by-step explanation:
The length of QW can be determined from PW and PQ by figuring out what the lengths are for Q and W in PW and PQ.
Suppose you invested $1500 in the stock market 2 years ago. During the first year, the value of the stock increased by 16%. During the second year, the value of the stock decreased by 16%. How much money is your investment worth at the end of the two-year period? (Note: The answer to this question is not $1500.)
Answer:
$1,461.60
Step-by-step explanation:
Value of the stock in the first year if value increased by 16% = 1500 x (1.16) = $1740
1.16 = 100% + 16% = 116%
Value of the stock in the second year if value decreased by 16% = $1740 x 0.84 = $1,461.60
0.84 = 100% - 16% = 84%
Which numbers produce an irrational number when added to 5/8
Answer:
Irrational numbers
Step-by-step explanation:
Any irrational number plus a rational number like (5/8) creates another irrational number.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
An irrational number is a number that cannot turn into a fraction.
If you add an irrational number to a rational number, the sum is an irrational number because since the number cannot be ended and/or written into a fraction.
Irrational numbers are: Pi and infinity. Pi doesn't ever end, and all the digits (after 0) are different (it's a formula). Infinity has no end, so you cannot write infinity as a fraction.
Pi plus 5/8 is an irrational number.
Infinity plus 5/8 is also an irrational number.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
Find m∠1. the sides are 56 , 62, and 1
a 62
b 72
c 58
d 67°
Answer:
c 58
Step-by-step explanation:
Answer:
62
Step-by-step explanation:
Add all of them and it’s 180
hello there >3 i would like explanation for this :)
Answer:
75
Step-by-step explanation:
Let t and u represent the tens and units digits, respectively.
t = u + 2 . . . . the tens digit exceeds the units digit by 2
t + 2u = 17 . . . . the sum of the tens digit and twice the units digit is 17
Substituting for t in the second equation, we get ...
(u +2) +2u = 17
3u = 15 . . . . . . . . subtract 2
u = 5 . . . . . . . . . . divide by 3
t = u+2 = 7
The number is 75.
_____
Check
7 exceeds 5 by 2. 7 + twice 5 = 7 + 10 = 17.
another math question ! write 16 to the 8th power as a power with a base of 4
Answer:
[tex]\Huge \boxed{4^{16} }[/tex]
Step-by-step explanation:
[tex]16^8[/tex]
Rewrite 16 with base 4.
16 is also written as 4².
[tex](4^2)^8[/tex]
We can apply an exponent rule :
[tex](a^b)^c=a^{bc}[/tex]
Multiply the exponents.
[tex]4^{2 \times 8}[/tex]
[tex]4^{16}[/tex]
1. Which range of numbers is most appropriate for the y-axis scale and interval on a graph given the
Range: 10 - 35; Interval 10
Range: 0-35; Interval: 5
Range: 0 - 30; Interval 5
Range: 10 - 30; Interval: 5
Answer:
Option B.
Step-by-step explanation:
We need to find the range of numbers is most appropriate for the y-axis scale and interval on a graph for given table.
From the given table it is clear that the minimum value of y is 10 and the maximum value of y is 34.
It means 10 and 34 must be included in the Range.
In option C and D 34 in not included in the range, so these options are incorrect.
In option A, 10 is the minimum value of range and interval of 10 is not possible for the range 10-35, because it contains only multiple of 10 on the y-axis. So, this option is incorrect.
In option B, both 10 and 34 are included and interval of 5 is possible for range 0-35.
Therefore, the correct option is B.