Answer:
m
Step-by-step explanation:
m x m x m x m x m = [tex]m^{5}[/tex]
So the base would be "m", the exponent is "5".
Answer: A. m>5
Step-by-step explanation:
6y + 3 + (2y + 3) = please help me
Answer:
y = -3/4
Step-by-step explanation:
1. Simplify all terms - 8y + 6 = ?
2. Set to two sides - 8y = -6
3. Solve - y = -6/8 = -3/4
Hope this helps:)
Using the discriminant, how many real solutions does the following quadratic equation have? X^2+6x+10=0
Answer: No real solutions
Step-by-step explanation:
The discriminant can tell you how many solutions a quadratic equation has. The formula is b²-4ac. This also comes from the quadratic equation.
6²-4(1)(10)
36-40
-4
Since the discriminant is less that 0, there are no roots.
A student takes a 48 question multiple choice quiz. The student is unprepared, so they guess on every question. The probability of guessing a correct answer is 1/4. Find the mean and standard deviation for the random variable
Answer:
[tex]Mean = 12[/tex]
[tex]Standard\ Deviation = 6[/tex]
Step-by-step explanation:
Given
Number of questions, n = 48
Probability of correct answer, p = 1/4
Required
- Find the mean
- Find the standard deviation
Using probability notations;
n = 48 and p = 1/4
Mean is calculated as follows;
[tex]Mean = np[/tex]
Substitute 48 for n and 1/4 for p
[tex]Mean = 48 * \frac{1}{4}[/tex]
[tex]Mean = \frac{48}{4}[/tex]
[tex]Mean = 12[/tex]
The Mean is 12
Calculating Standard Deviation (SD)
[tex]SD = \sqrt{np(1-p)}[/tex]
Substitute 48 for n and 1/4 for p
[tex]SD = \sqrt{48 * \frac{1}{4}(1-\frac{1}{4})}[/tex]
Solve the expression in the bracket
[tex]SD = \sqrt{48 * \frac{1}{4}(\frac{4-1}{4})}[/tex]
[tex]SD = \sqrt{48 * \frac{1}{4}(\frac{3}{4})}[/tex]
Open Bracket
[tex]SD = \sqrt{48 * \frac{1}{4}*\frac{3}{4}}[/tex]
[tex]SD = \sqrt{\frac{48 * 1 * 3}{4}}[/tex]
[tex]SD = \sqrt{\frac{144}{4}}[/tex]
[tex]SD = \sqrt{36}[/tex]
Take Square Root of 36
[tex]SD = 6[/tex]
The standard deviation is 6
Marissa subtracted a negative number from a positive number. Her result was negative. Is that reasonable
Answer:
the result is a positive number not a negative number
Step-by-step explanation:
a - ( -b)
We know that subtracting a negative is like adding
a+b
This would result in a positive number
Answer:
No.
Step-by-step explanation:
Because it is a double negative, the difference will become positive.
For instance, 6 - (-4) = 10
(The subtraction and negative signs will become positive instead).
A circle has a circumference of 18. It has an arc of length 6.
What is the central angle of the arc, in degrees?
Answer:
120 cm. .here u go..
Step-by-step explanation:
Circumference: 2πr
C=18 so r= 18/2π= 9π
Arc length = rθ 6=(9π)θ θ=6/9π
Convert to degrees by multiplying by 180/π
6/9π x 180/π = 120 degrees
Hope it helps!
If yes mark BRAINLIEST and follow me
TYSM!
When no K is divided by 27, 30, or 45, the remainder is 3. Find the smallest possible value of K. Can someone send me the calculation please?
Answer:
3 is the answer
Clara found the product of 3 – 6y2 and y2 + 2. Her work is shown below. (3 – 6y2)(y2 + 2) = 3(y2) + (–6y2)(2) = 3y2 – 12y2 = –9y2 Is the student’s work correct? No, she did not multiply –6y2 by 2 correctly. No, she did not add 3y2 and –12y2 correctly. No, she did not use the distributive property correctly. Yes, she multiplied the binomials correctly.
Answer:
No, She did not use the distributive property correctly.
Step-by-step explanation:
While multiplying [tex](3-6y^2)(y^2+2)[/tex], he did not use distributive property correctly. She only multiplied 3 with [tex]y^2[/tex] and not with 2. Also she multiplied [tex]-6y^2[/tex]only with 2 and not with [tex]y^2[/tex].
Answer:No, She did not use the distributive property correctly.
the area of a triangle 17.5 square meters. The height of the triangle is 3 meters less than twice it’s base. the base of the triangle is x meters
Answer :
Given that the base of the triangle is x m, the height is 3m less than twice it's base then the height will be represented by the equation:
(2x-3) m
Thus the area will be:
Area=1/2bh
Area=1/2x(2x-3)=17.5
x^2-1.5x=17.5
Writing the above equation is quadratic form of ax^2+bx+c=0 we get:
x^2-1.5x-17.5=0
12 stars / 30 balloons = x / 120 balloons
Answer: 48 stard
Step-by-step explanation:
12 stars = 30 balloons
? = 120 balloons
Solve
120/30 x 12 = 48
Answer:
48 stars
Step-by-step explanation:
This is an equation where you have to find an equivalent fraction.
So, it is given to us that 12/30 = something (x) /120.
So, what happened to 30 to make it 120 in the respective denominators? It was multiplied by 4.
So, that’s what you do to the numerator, multiply it by 4.
So 12 x 4 = 48.
Now put it back as a fraction 12/30 = 48/120
1. Which of the following equations has a solution of x = -5? Equation A------> 16x-7=11x-32 Equation B------> -4x- 10=2x+20 a. Equation A b. Equation B c. Both A and B d. Neither A nor B
Answer:
C
Step-by-step explanation:
Equation A
16x - 7 = 11x - 32
(16x - 7) - 11x = (11x - 32) -11x
5x - 7 = -32
(5x - 7) + 7 = (-32) + 7
5x = -25
(5x)/5 = (-25)/5
x = -5
Equation B
-4x - 10 = 2x + 20
(-4x - 10) - 2x = (2x + 20) - 2x
-6x - 10 = 20
(-6x - 10) + 10 = (20) + 10
-6x = 30
(-6x)/-6 = (30)/-6
x = -5
Both Equation A and Equation B have a solution of -5.
What is the value of
–8(17-12)
-2(8-(-2))
?
-4
-2
оооо
2
4
,
What is the remainder of (4x2 + 7x-1)= (4 + x)?
A. -9x – 1
B.23x – 1
C.35
D.-37
Answer: I don't know what you meant by remainder but i hope this helps :)
[tex]x=\frac{-3+\sqrt{29}}{4},\:x=-\frac{3+\sqrt{29}}{4}\\[/tex]
Step-by-step explanation:
[tex]\left(4x^2+7x-1\right)=\left(4+x\right)\\\mathrm{Refine}\\4x^2+7x-1=4+x\\\mathrm{Subtract\:}x\mathrm{\:from\:both\:sides}\\4x^2+7x-1-x=4+x-x\\Simplify\\4x^2+6x-1=4\\\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}\\4x^2+6x-1-4=4-4\\\mathrm{Simplify}\\4x^2+6x-5=0\\\mathrm{For\:}\quad a=4,\:b=6,\:c=-5:\\\quad x_{1,\:2}=\frac{-6\pm \sqrt{6^2-4\times \:4\left(-5\right)}}{2\times \:4}[/tex]
[tex]\frac{-6+\sqrt{6^2-4\times \:4\left(-5\right)}}{2\times \:4}\\=\frac{-6+\sqrt{6^2+4\times \:4\times \:5}}{2\times \:4}\\=\frac{-6+\sqrt{116}}{2\times \:4}\\=\frac{-6+\sqrt{116}}{8}\\\\Let\: simplify\: ; -6+2\sqrt{29}\\=-2\times \:3+2\sqrt{29}\\=2\left(-3+\sqrt{29}\right)\\=\frac{2\left(-3+\sqrt{29}\right)}{8}\\=\frac{-3+\sqrt{29}}{4}\\[/tex]
[tex]\frac{-6-\sqrt{6^2-4\times \:4\left(-5\right)}}{2\times \:4}\\\\=\frac{-6-\sqrt{6^2+4\times \:4\times \:5}}{2\times \:4}\\\\=\frac{-6-\sqrt{116}}{2\times \:4}\\\\=\frac{-6-2\sqrt{29}}{8}\\\\=-\frac{2\left(3+\sqrt{29}\right)}{8}\\\\=-\frac{3+\sqrt{29}}{4}\\\\\\x=\frac{-3+\sqrt{29}}{4},\:x=-\frac{3+\sqrt{29}}{4}[/tex]
Answer:
C. 35
Step-by-step explanation:
The synthetic division is shown below. The remainder is the number at lower right of the array, 35.
The remainder from division by x+4 is also the value of the quadratic evaluated at x=-4:
4x² +7x -1 = (4x +7)x -1
= (4(-4) +7)(-4) -1 = (-16 +7)(-4) -1 = 36 -1 = 35
Help I must get this correct and I will mark you a brainllest
Answer:
The correct option is 1.
Explanation:
The correct option is one because it means X is perpendicular to A and X is perpendicular to B.
If the two lines are perpendicular to a same line, then both lines are parallel to each other.
Here X⊥A and X⊥B. So, A║B.
x/3 = -9, plz solve this
Answer:
-27Step-by-step explanation:
[tex] \frac{x}{3} = - 9[/tex]
Apply cross product property
[tex]x = - 9 \times 3[/tex]
Calculate the product
[tex]x = - 27[/tex]
Hope this helps...
Best regards!!
Answer:
x=-27
Step-by-step explanation:
Determine what type of model best fits the given situation: Principal P is invested at an annual interest of rate r, compounded k times a year for t years.
A. exponential
B. none of these
C. quadratic
D. linear
The model best fits the given situation will be exponential. Then the correct option is A.
What is compound interest?Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.
We know that the compound interest is given as
A = P(1 + r)ⁿ
Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.
If the Principal P is invested at an annual interest of rate r, compounded k times a year for t years.
Then the equation will be given as,
[tex]\rm A = P(1+ r)^{kt}[/tex]
Then the correct option is A.
More about the compound interest link is given below.
https://brainly.com/question/25857212
#SPJ2
Which of the following is equal to the polynomial given above?
Answer:
its the last one
Step-by-step explanation:
"If you did a 6 feet hole, how deep is the hole"?
Answer:6 ft
Step-by-step explanation:
Answer:
6ft
Step-by-step explanation:
HALPPPPP Let g(x) = 2x and h(x) = x2 + 4. Evaluate each expression: g(-2) + h(4)
Stevie and Michael share their profit in a ratio 3:5. Stevie gets £120 more than Michael. How much profit did they make altogether? Please help
Answer:
Altogether, Stevie and Michael made £480
Step-by-step explanation:
Since Stevie gets £120 more than Michael, Stevie gets the bigger ratio which is 5 and Michael gets the ratio 3
a:b=ax+bx
Stevie share =ax
Michael share=by
5:3=5x+3x
Stevie profit=Michael profit
*Stevie gets £120 more
5x+120=3x
5x-3x=120
2x=120
x=120/2
=60
x=60
Stevie=ax
=5*60
=£300
Michael=bx
=3*60
=£180
Altogether,
They made a profit of £180+£300
=£480
On a coordinate plane, a curved line with a minimum value of (0.8, negative 11.4) and maximum values of (negative 1.6, 56) and (2, 0), crosses the x-axis at (negative 2.5, 0), (0, 0), and (2, 0), and crosses the y-axis at (0, 0). What is the local maximum over the interval [–3, 1.5] for the graphed function? 0 56 –11.4 2
Answer:
2,4
i did it and go it right
The local maximum is (2,4)
What is a Coordinate Plane?A coordinate plane is a graphing and description system for points and lines.
How to determine?By the given details,
Using the graphing calculator,
The local maximum is (2,4)
Learn more about Coordinate plane:
https://brainly.com/question/25516093
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if the 50th and 51st terms of an arithmetic sequence are 140 and 142, find the 1st term
Answer:
The first term is 42.
Step-by-step explanation:
The common difference is 142 - 140 = 2 so we have
50th term = a1 + 2(50 -1) = 140 where a1 is the first term
a1 + 98 = 140
a1 = 140 - 98 = 42.
help me please :( ill give u brainnlyyyyyyy :DDD
Answer:
180 grams
Step-by-step explanation:
2 people = 5 ounces
6 people= 5*3= 15 ounces
1 ounce= 28 grams
15 ounces= 15*28 grams= 420 grams
There is 240 grams already on the weight, so
420- 240= 180 grams more of diced onions are required
4. Write the equation of the line represented by the following table (2 point):
ху
-3 100
-2 200
-1 300
0 400
1
500
2 600
3
700
Vikas is the head of student council this year at his high school in London. He is responsible for planning the annual graduation trip to Canada's Wonderland. The students will spend one full day at the park and return late that evening. The school has rented a bus for transportation. The entry fee into the park is $50 and the bus costs $600. Write an equation to relate the cost, C, in dollars to the number of student, s, who participate in this fun trip. The total cost of the trip was $2750. How many students did Vikas recruit for this trip? Vikas receives a free trip if he is able to fill 90% of the bus. The bus has a seating capacity of 46 seats. Did Vikas receive his free trip? Show your work.
Answer:
The equation is C = 50s + 600. If C = 2750 we can write:
2750 = 50s + 600
2150 = 50s
s = 43 so the amount of students is 43.
For the last question, 90% of 46 = 0.9 * 46 = 41.4. Since 43 > 41.4, Vikas received his free trip.
Calculate the distance between the points G=(-9, 8) and H=(-2, 2) in the coordinate plane.
Give an exact answer (not a decimal approximation).
10+
8
Distance: 0
+
-10-8
-6
-4
- 2
2
6
8
10
-S
-10
Answer:
[tex]\sqrt{153}[/tex]
Step-by-step explanation:
Using Pythagoras in 3D.
[tex]a^2+b^2=c^2[/tex] (The distance between two points in a direction)
For the x-plane.
[tex](-9)^2+(-2)^2=c^2\\85=c^2\\c=\sqrt{85}[/tex]
For the y-plane.
[tex]8^2+2^2=c^2\\68=c^2\\c=\sqrt{68}[/tex]
Finding the shortest distance between those two points.
[tex]\sqrt{68}^2+\sqrt{85}^2=c^2\\68+85=c^2\\153=c^2\\c=\sqrt{153}[/tex]
2. Solve by factoring?
a) x2 + x - 20 = 0
b) x = 36
c) *+ 12x = -36
d) x = 10x
Answer:
Step-by-step explanation:
a :x²+x-20 = 0 to factor we can calculate the dicriminant we get 81 so we have two solutions after factoring using the dicriminant we get : (x+5) (x-4) so x= 4 or x= -5 b :x= 36 x-36 = 0 x-6²=0(√x+6)(√x-6) = 0 √x = 6 or √x= -6 ( impossible for real numbers) x= 6² x= 6d: x= 10x x-10x=0 x(1-10) = 0 -9x = 0 x= 0
The Empire State Building in New York City is 1250 ft tall. What is the
distance from the top of this building to the horizon to the nearest mile? (Hint: 5280 ft 1 mi; radius of Earth 4000 mi)
Answer:
33 miles
Step-by-step explanation:
The illustration forms a right angled triangle. The opposite side of the triangle is where we are looking for . The adjacent side is the radius 4000 miles.
5280 ft = 1 mile
735 ft = ? miles
cross multiply
735/5280
miles = 0.13920454545 miles
The hypotenuse side is the height of the building + 4000 miles = 0.140 + 4000 = 4000.14 miles
using Pythagoras theorem
c² = a² + b²
c = 4000.14
a = 4000
4000.14² = 4000² + b²
b² = 4000.14² - 4000²
b² = 16001120.0196 - 16000000
b² = 1120.0196
b = √1120.0196
b = 33.4666938911
b = 33 miles
Which of the following systems of nonlinear inequalities is graphed below?
Answer:
the correct answer is C.
1. Irene is covering a flowerbed with mulch to protect the flowers. The flowerbed is made of
a semi-circle, a rectangle and a right-angle triangle as shown below.
3 m
2 m
4 m
I
a) Calculate the total area of the flowerbed. Show your work.
b) If a bag of mulch covers 5 m?, determine how many bags should be purchased in order
to cover the flowerbed. Show your work.
PLEASE HELP ASAP! IT'S EASY WORD PROBLEM!!!!!!!! My computer can download a movie in 5 hours. If I install an extra processor it can download the movie in 4 hours. How long, working alone, would it have taken the new extra processor to download the movie?
Answer:
t = 2,22 h
Step-by-step explanation:
At the beginning with the first processor, we download in 5 hours the whole movie, then in 1 hour, that processor downloads 1/5 of the movie.
If with the two processors we download the movie in 4 hours in 1 hour we download 1/4 of the movie.
In 1 hour with the two processors, we get 1/4, and in 1 hour with the old processor we get 1/5
Then in 1-hour the old processor plus contribution of the new one will download 1/4 of the movie or
1/5 + x = 1/4
x = 1/4 - 1/5
x(h) = 5 + 4 /20 x = 9/20 or 0,45 of the movie in 1 hour
Working along the new processor will do 0,45 ( 9/20) in 1 hour, to finish the whole movie it will need to download 11/20
If in 1 hour download 9/20
x 11/20
x(r) = (11/20) / (9/20) = 11/9 x(r) = 1,22 (h)
Then total time for the new processor to download the movie is:
t = 1,22 + 1
t = 2,22 h