Answer:
10 and 13
Step-by-step explanation:
John Barosa and John Warosa
Figure 6.21
From knowledge of the sum of the angles
at a point.
b By calculating the sizes of the angles of a
regular octagon using the (n - 2) × 180°
formula
Answer:
L
Step-by-step explanation:
360 hhjnjjuffdsaadtplease hellppp please hellpp
Answer:
- 3 and 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 3x + 5 ← is in slope- intercept form
with slope m = - 3 and y- intercept c = 5
Answer:
the slope (gradient) is -3, and the y-intercept is +5
Step-by-step explanation:
A line in the slope-intercept form
y = mx + b
has a slope of m and a y-intercept of b
Therefore for the line
y=-3x + 5
the slope (gradient) is -3, and the y-intercept is +5
Joline is solving the equation 0 = x2 – 5x – 4 using the quadratic formula. Which value is the negative real number solution to her quadratic equation? Round to the nearest tenth if necessary. Quadratic formula: –5.7 –4 –1 –0.7
Answer:
-5.7
Step-by-step explanation:
OUR EQUATION IS A QUADRATIC EQUATION
Let Δ be our dicriminant :
a= 1b= 5c= -4Δ= 5²-4*1*(-4) =25 +16 =41≥0so we have two solutions x and y x= (-5-√41)/2 = -5.7Find each difference.
(32mn2 + 50mn2) - (10mn2 - 16m2 + 64)
PLEASE HELP!!! ASAP!!!
Answer:
144mn + 32m - 64
:)
Step-by-step explanation:
Toni invests money into an account which pays a fixed rate of compound interest each year. The total value, £V, of her investment after t years is given by the formula
Answer:
a. 1350
b. 4%
Step-by-step explanation:
here is the complete question :
Toni invests money into an account which pays a fixed rate of compound interest each year. The total value, £V, of her investment after t years is given by the formula:
V = 1350 x 1.04^t
Answer questions a & b
a - How much money did Toni invest in pounds
b - What rate of compound interest is paid each year
the formula for calculating compound interest is given by :
V = P (1 + r)^t
P = Present value -= amount invested = 1350
R = interest rate = 4%
N = number of years = t
i hope my answer helps you
Urn A contains seven white balls and five black balls. Urn B contains four white balls and six black balls. A ball is drawn from Urn A and then transferred to Urn B. A ball is then drawn from Urn B. What is the probability that the transferred ball was black given that the second ball drawn was black
Answer:
P(X/Y) = 0.4545
Step-by-step explanation:
Let's call X that the transferred ball is black, X' that the transferend ball is white and Y the event that the second ball drawn is black.
The probability that the transferred ball was black given that the second ball drawn was black is equal to:
P(X/Y) = P(X∩Y)/P(Y)
Where P(Y) = P(X∩Y) + P(X'∩Y)
Then, the probability P(X∩Y) that the transferred ball is black and the second ball drawn is black is equal to:
P(X∩Y) = (5/12)*(7/11) = 0.2651
Because the urn A has 12 balls and 5 of them are black, then if the transferred ball is black, the urn B will contain 11 balls and 7 of them will be black balls.
At the same way, the probability P(X'∩Y) that the transferred ball is white and the second ball drawn is black is equal to:
P(X'∩Y) = (7/12)*(6/11) = 0.3181
Because the urn A has 12 balls and 7 of them are white, then if the transferred ball is white, the urn B will contain 11 balls and 6 of them will be black balls.
So, P(Y) and P(X/Y) are equal to:
P(Y) = 0.2651 + 0.3181
P(Y) = 0.5832
P(X/Y) = 0.2651/0.5832
P(X/Y) = 0.4545
PLEASE HELP!!!
It says to find the area of the shaded sector rounded to the nearest hundredth
Answer:
402.12 cm²
Step-by-step explanation:
45 degrees is 1/8 of a circle
πr² = whole circle
1/8*(3.1415926....)(32)² = 402.12 cm²
I WILL CHOOSE BRAINIEST AND 5 STARS AND A THANKS... A "necklace" is a circular string with several beads on it. It is allowed to rotate a necklace but not to turn it over. How many different necklaces can be made using 13 different beads?
Answer:
479,001,600 ways
Step-by-step explanation:
When looking at this problem, there are 13 beads that can be put on first, 12 that can be put on second as the first one was already used, 11 put on third, and so on. This means the amount of necklaces you can make are 13*12*11...*2*1, or 13 factorial (13!). But since you can rotate the necklace this means that there are each combination has 12 others just like it, just rotated(13 in total). This means we must divide 13! by 13, which makes it 12!. 12! is equal to 479,001,600, which is the answer.
Answer:
6,227,020,800 different necklaces.
Step-by-step explanation:
To start making the necklace, you will have to choose one of the 13 beads. For the next bead, you will have 13 - 1 = 12 beads to choose from. For the next bead, you will have 12 - 1 = 11 beads to choose from, and so on and so forth, until all 13 beads are used.
So, you will have 13! different necklaces, since you would have 13 * 12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 156 * 110 * 72 * 42 * 120 = 17160 * 362880 = 6227020800.
So, you will have 6,227,020,800 different necklaces.
Hope this helps!
what is 1379 x 38 estimated
Which expression represents a difference of squares? A. 4x2 − 16x B. t2 + 100 C. 25k − 64 D. 81 − 49y2
Answer:
I believe it would be C, not 100% sure though
Answer:
81-49y^2
Step-by-step explanation:
Camila comprou um quilo de bolo de morango e dois quilos de bolo de chocalate por R$ 72,00 se o quilo do bolo de morango custa R$ 18,00 qual é o valor do quilo do bolo de chocolate?
Answer:
R$ 27,00
Step-by-step explanation:
R $ 72,00 = Um bolo de morango + dois quilos de bolo de chocalate
Um bolo de morango = R$ 18,00
R $ 72,00 = R$ 18,00 + Dois quilos de bolo de chocalate
Dois quilos de bolo de chocalate = R$72,00 - R$18,00
= R$54,00
Dois (2) quilos de bolo de chocalate = R$54,00
Um (1) quilo de bolo de chocalate = x
2x = R$ 54,00
x = R$ 54,00/2
x = R$ 27,00
Um quilo do bolo de chocolate = R$27,00
given that sin x < cos x and 0° < x < 90°, state a possible value of x. explain your answer clearly.
Answer:
See below.
Step-by-step explanation:
When x has a value between 0 and 90 the values of sin x ranges from 0, if x = 0 and 1 , if x = 90 degrees.
The cosine of x has the reverse value: cos x is 1 for x = 0 and 0 for x = 90 degrees.
At x = 45 the sine and cosine are equal in value.
So for sin x < cos x the value of x must be between 0 and 45 degrees.
So a possible value of x is 30 degrees.
When x = 30 sin x = 0.5 and cos x = 0.866.
El resultado de \(2^{40}+2^{39}+2^{36}\) es divisible por i) 8 ii) 10 iii) 100
Explanation:
We can factor out 8 like so
2^40 + 2^39 + 2^36 = 2^3*2^37 + 2^3*2^36 + 2^3*2^33
2^40 + 2^39 + 2^36 = 2^3*(2^37 + 2^36 + 2^33)
2^40 + 2^39 + 2^36 = 8*(2^37 + 2^36 + 2^33)
Showing that 8 is a factor of 2^40 + 2^39 + 2^36
In other words, 2^40 + 2^39 + 2^36 is divisible by 8
A 5-pound bag of flour costs $9.60. What is the price per ounce?
Answer:
A 5-pound of flour costs $4.80. For this bag of flour, what is the cost of flour per ounce? (1 pound = 16 ounces) a. $0.06.
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
In each pound there are 16 ounces. We can divide $9.60 by 5 to get the cost of one pound of flour, and then divide the result of that by 16 to get the price of flour by the ounce.
$9.60 can be converted to 960 cents to make it easier to divide.
960 ÷ 5 = 192
192 ÷ 16 = 12
Help fast will mark you the brainlest
Answer:
55°
Step-by-step explanation:
x°+35° is a right angle
so x°+35°= 90°
then : x° = 90°-35° = 55°
Answer: x = 20
Step-by-step explanation:
This problem makes use of Supplementary Angles. Supplementary Angles states that all angles that makes up a straight line are equal to 180. Thus, 125+35+x=180
First add
160+x=180
Then subtract
x=20
Hope it helps <3
How does the slope of g(x) compare to the slope of f(x)?
The slope of g(x) is the opposite of the slope of f(x).
The slope of g(x) is less than the slope of f(x).
The slape of g(x) is greater than the slope of f(x).
The slope of g(x) is equal to the slope of f(x).
i) The sum of two consecutive odd numbers is 68. Find the numbers.
Answer:
The numbers are 35 and 35.
Step-by-step explanation:
Let one odd number be x.
The next greater odd number is x + 2.
x + x + 2 = 68
2x + 2 = 68
2x = 66
x = 33
x + 2 = 35
The numbers are 35 and 35.
a square has an area of 64cm^2 find the perimeterofthe square
Answer:
perimeter of the square is 256
I believe.
A power line is to be constructed from a power station at point A to an island at point C, which is 1 mi directly out in the water from a point B on the shore. Point B is 4 mi down shore from the power station at A. It costs $5000 per mile to lay the power line under water and $3000 per mile to lay the line underground. At what point S down shores from A between the cities?
Answer:
Given :
length offshore = CS=√(1+X^2)
Cable charged = 5000√(1+X^2)
onshore length = 4-X
laying cost = 3000(4-X)
total cost:
C=5000√(1+X^2) +3000(4-X)
DC/DX
= [5000*(0.5)*2X/{√(1+X^2)}]-3000=0... for optimum
5000X=3000√(1+X^2)
25X^2=3+3X^2
22X^2=3
X=√(3/22)
= 0.3693 miles
So, it would be laid offshore to S in a manner that
BS=X=0.3693 miles
Onshore=4-0.3693
=3.6307 miles
Indicate whether each of the three reciprocal functions (cosecant, secant, and cotangent) is a periodic function. If so, state the period of each
Answer:
They are all periodic and have a period of 2π.
Step-by-step explanation:
This is also true of sine, cosine and tangent.
what is the inequality to 4-3x≥7
Answer:
Step-by-step explanation:
4-3x≥7
4-7≥3x
-3≥3x
or
3x≤-3
x≤-1
If f(x) = x - 3, which of the following is the inverse of f(x)?
O A. f-'(x) = x-3
O B. f-'(X) = x + 3
O c. f-'(X= 3x
O D. f-'(x) = 3 - x
Answer:
B. f^-1(x) = x+3
Step-by-step explanation:
Given the function f(x) = x-3, to get its inverse, the following steps mist be followed.
First we will make y = f(x)
y = x-3
Then we will make x the subject of the formula to have:
y+3 = x-3+3
y+3 = x
x = y+3
Finally, we will replace back y with x to have:
y = x + 3
f^-1(x) = x+3
This gives the inverse of the function.
The mean of 5,x,10,6,12 is 9. Find x
Answer:
12Solution,
Summation FX= 5+10+6+12+X
=33+x
N(total no.of items)=5
Now,
Mean= summation FX/N
or 9=33+X/5
or 9*5=33+X ( cross multiplication)
or 45=33+X
or -x=33-45
or -x=-12
X=12
Hope this helps...
Good luck on your assignment..
Answer:
x = 12
Step-by-step explanation:
The mean calculated by adding all the numbers of a set and dividing it by the total number of numbers. In this case, we have five numbers, but we do not know what the sum of all the numbers is because one of the numbers in under the pronumeral x. The find this out we need to work backwards. We know that when all the five numbers are added we should get 45 (it is 9 time 5 as there are five numbers in the set). The next step is to subtract 45 from the number that we known (i.e. 45 - 5 - 10 - 6 - 12). This comes to 12.
To double-check if you got the right answer you could add all five numbers include the 12 and divide it by 5 to see if the answer is 9.
let f(x)=2x^2 and g(x)=x^-2 find f(g(x))
Answer:
2x^-4 or 2/x^4.
Step-by-step explanation:
We replace the x in f(x) by g(x).
f(g(x)) = 2 (x^-2)^2
= 2 x^(-2*2)
= 2x^-4
= 2/x^4.
Drag the yellow point until an accurate "height" of the triangle is drawn. What is the height?
Answer:
Drag it untill you get a right triangle . this is where you get the height
Which describes the range of the parent absolute value function?
Answer:
C
Step-by-step explanation:
Just did the Unit Review
Figure abcd is a square. Find the measure of < ABE
Answer:
45 degrees
Step-by-step explanation:
Because the shape is a square, all of the sides are equal and all of the angles are 90 degrees. From there you simply divide 90 by 2.
Answer:
∠ ABE = 45°
Step-by-step explanation:
The diagonals of a square bisect the angles, thus
∠ ABC = 90°, so
∠ ABE = 0.5 × 90° = 45°
Four buses were filled with children and 20 children rode in cars for a field trip. Write an expression for how many children went on the field trip A.4c B.20c C.4c+20 D.4b+20c
Answer:
C. 4c+20
Step-by-step explanation:
If 4 buses are filled with kids, to get how many kids there are in total you would have to multiply the number 4, to represent the buses, times the number of kids in 1 bus, represented by C in this case. Then you would add 20 kids to represent the number of kids traveling in cars.
With that you have 4c+20.
Simplify
81^5 = 3^x
x=
Answer:
Step-by-step explanation:
(3^4)^5=3^(4*5)=3^20
3^20=3^x
x=20
Answer:
20
Step-by-step explanation:
Explain the steps you would take to find the quotient of 1/3 divided 4/3
Answer: 1/4
Step-by-step explanation: Here, we have 1/3 ÷ 4/3.
Dividing by a fraction is the same
as multiplying by its reciprocal.
In other words, we can change the division sign
to multiplication and flip the second fraction.
So here, 1/3 ÷ 4/3 can be rewritten as 1/3 × 3/4.
Now we're simply multiplying fractions.
Before multiplying however, always try to cross-cancel.
Notice that we can cross-cancel 3 and 3 to 1 and 1.
So we now have 1/1 × 1/4.
Multiplying across the numerators
and denominators, we have 1/4.