Answer:
The percent of change in the population was of 25%.
Step-by-step explanation:
Percent change:
The percent change is given by the change multiplied by 100, and divided by the initial value.
A towns population went from 40,000 to 50,000.
Change: 50000 - 40000 = 10000
Initial value: 40000
10000*100/40000 = 25%
The percent of change in the population was of 25%.
What is the center and radius of the circle with the given equation x^2 + y^2 + 14x - 12y +69 = 0
Answer:
Center is (7,-6)
Our radius is 4
Step-by-step explanation:
Subtract 69 to both sides
Complete the square of the x terms and y terms.
[tex] {x}^{2} + 14x[/tex]
[tex] {y}^{2} - 12y[/tex]
(To complete the square divide the coefficient by 2 and square it).
[tex] (\frac{14}{2} ) {}^{2} = 49[/tex]
[tex]( \frac{ - 12}{2} ) {}^{2} = 36[/tex]
Add those terms to the full equation. Add 36 and 49 to the right side as well
[tex] {x}^{2} + 14x + 49 + {y}^{2} - 12y + 36 = 16[/tex]
Simplify the x and y terms into a binomial.
[tex](x + 7) {}^{2} + (y - 6) {}^{2} = 16[/tex]
Set the left side equal to zero separately to find the center and take the square root of the right side to find the radius.
[tex]x + 7 = 0[/tex]
[tex]x = - 7[/tex]
[tex]y - 6 = 0[/tex]
[tex]y = 6[/tex]
[tex]16 = {x}^{2} [/tex]
[tex]4 = x[/tex]
So our center is (-7,6)
Our radius is 4.
Solve for x (use steps i need to learn this pls)
Answer:
x = 14
Step-by-step explanation:
The figure shows two chords intersecting each other. Based on the Theorem of Intersecting chords, the product the segments of each chord is equal to the product of the other. This means:
24*x = 21*16
24x = 336
Divide both sides by 24
24x/24 = 336/24
x = 14
Please help!! PLEASE!!!
Answer:
30%
Step-by-step explanation:
subtract the post-discount price from the pre-discount price
64.99 - 45.49 = 19.50
divide the answer by the original price
[tex]\frac{19.50}{64.99}[/tex] = 0.30
multiply the answer by 100
0.30 x 100 = 30%
to check:
take the original number and multiply it by the decimal form of the percentgae:
64.99 x 30% (0.30) = 19.50
take the answer and subtract it from the orginal answer
64.99 - 19.50 = 45.49
Write the ratios of each for the given triangle below
SinA=
CosA=
TanA=
SinB=
CosB=
TanB=
Answer:
i have made it in above picture
Naval intelligence reports that 5 enemy vessels in a fleet of 18 are carrying nuclear weapons. If 9 vessels are randomly targeted and destroyed, what is the probability that no more than 1 vessel transporting nuclear weapons was destroyed
Answer:
0.1471 = 14.71% probability that no more than 1 vessel transporting nuclear weapons was destroyed.
Step-by-step explanation:
Vessels are chosen without replacement, which means that we use the hypergeometric distribution to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Naval intelligence reports that 5 enemy vessels in a fleet of 18 are carrying nuclear weapons.
This means, respectively, that [tex]k = 5, N = 18[/tex].
9 vessels are randomly targeted and destroyed
This means that [tex]n = 9[/tex]
What is the probability that no more than 1 vessel transporting nuclear weapons was destroyed?
This is:
[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]
In which
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 0) = h(0,18,9,5) = \frac{C_{5,0}*C_{13,9}}{C_{18,9}} = 0.0147[/tex]
[tex]P(X = 1) = h(1,18,9,5) = \frac{C_{5,1}*C_{13,8}}{C_{18,9}} = 0.1324[/tex]
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0147 + 0.1324 = 0.1471[/tex]
0.1471 = 14.71% probability that no more than 1 vessel transporting nuclear weapons was destroyed.
Part B: Which box-and-whisker plot displays
Mario's data?
Brainliest quick
Answer:
Step-by-step explanation:
i think it's D i have the same test today
Answer:
C cause it has to be 54 then the median is 58
Step-by-step explanation:
2(3x - 32y) + 3(-2x - 4y)
5/6 + (-4/9) - (-2), is this right??
Answer:
YES SIR OR I MEANT YES MAM
Which one is not a characteristic of all parallelograms?
Answer:
Consecutive angles are supplementary is not character of parallelograms
*
Question 2
If a calculator is sold for $15.95, then the revenue in dollars, R, generated by this item
is given by the formula R=15.959, where a represents the number of calculators sold.
Use the formula to determine the revenue generated by this item if 40 calculators are
sold.
Answer:
Answer is in the photo so you have so look in this give wribsite
Ignore the answer I chose it didn't let me click off of it
Answer:
d i think
Step-by-step explanation:
Pls help
Find the surface area of the composite figure.
Answer:
644 cm³
Step-by-step explanation:
Surface area of the composite figure = (surface area of the upper cuboid - base area of upper cuboid) + (surface area of the lower cuboid - base area of the upper cuboid)
✔️Surface area of upper cuboid = 2(LW + LH + WH)
L = 3
W = 3
H = 8
Surface area of upper cuboid = 2(3*3 + 3*8 + 3*8) = 2(9 + 24 + 24) = 114 cm²
✔️Surface area of Surface area of lower cuboid = 2(LW + LH + WH)
L = 12
W = 10
H = 7
Surface area of lower cuboid = 2(12*10 + 12*7 + 10*7) = 2(120 + 84 + 70) = 548 cm²
✔️Base area of upper cuboid = L*W
L = 3
W = 3
Base area = 3*3 = 9 cm²
✅Surface area of the composite figure = (114 - 9) + (548 - 9) = 105 + 539 = 644 cm³
Line I is parallel to line m. If the
measure of Z6 is 75°, what is the
measure of 24?
1/2
473
B
5/6 = 75
7/8
Enter
Answer:
75
Step-by-step explanation:
alternate interior angles are always equal, so that means 6 = 4 = 75.
What is x in 1/150/1/200x2=x
Answer:
6.66666667E-5
hope this helped a bit!
Help please!!!
I’m failing math and I need help
Answer:
3.
vertically opposite angles ,
= 30°
4. 50° +30°+2x = 180°
80°+2x=180°
2x=180°-80°
2x=100°
jessica wondered if elementary school students tend to write more when they are given
full question plsAnswer:
Step-by-step explanation:
A computer program found that the line c=2t−89c=2t−89c=2t−89 is a good fit for the data. Use this equation to predict how many cups of lemonade Lin might sell on a day when the high temperature is 74 degrees.
Answer:
58cups
Step-by-step explanation:
Given the equation for the line as c = 2t - 89
If the temperature is 74 degrees, then we can find the number of cups at this temperature;
Substitute t = 74 unti the expression
x = 2(74) - 89
c = 147 - 89
c = 58cups
Hence the number of cups of lemonade is 58cups
PLEASE HELP ASAP
TRIGONOMETRY
Answer:
11). x = 25.8°
12). x = 67.3°
Step-by-step explanation:
11). By using sine rule in the given triangle,
cos(x) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(x) = [tex]\frac{27}{30}[/tex]
x = [tex]\text{cos}^{-1}(\frac{9}{10} )[/tex]
x = 25.84
x ≈ 25.8°
12). By applying tangent rule in the given triangle,
tan(x) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(x) = [tex]\frac{43}{18}[/tex]
x = [tex]\text{tan}^{-1}(\frac{43}{18} )[/tex]
x = 67.29°
x ≈ 67.3°
Gravel is being dumped from a conveyor belt at a rate of 15 ft3/hr and its coarseness is such that it forms a pile in the shape of an inverted right cone whose height is three times its base radius. How fast is the height of the pile increasing when the pile has a height of 10 ft
Answer:
0.43 ft/hr
Step-by-step explanation:
dv/dt = 15ft³/hr
Height = 10ft
We are required to get dh/dt
h = 3r
r = h/3
Formula for volume = 1/3πr²h
We put value of h
1/3π(h/3)²h
= 1/3π(h²/9)h
= 1/3πh³/9
= πh³/29
dv/dt = 1/27π.3h²dh/dt
= dv/dt = πh²/9dh/dt
Remember dv/dt = 15
When we put this in we get
dh/dt = 15x9/3.142x10²
= 135/314.2
= 0.43 ft³/hr
Please check the attachment I added also to add you.
The price of an item has been reduced by 40%. The original price was $35. What is the price of the item now?
Answer:
$21 is the correct answer
Answer:
Step-by-step explanation:
First we have to find 1 percent of 35, and then we will multiply it by 40. So: 35/100 = 0.35
0.35 (40) = 14
35 - 14 = 21
So, the discounted price is now $21.
giving brainliest *easy*
Answer:
pi
Step-by-step explanation:
to convert angles to radians you must multiply the angle measurement by the formula pi/180
180 x pi/180
the 180s cancel out and you are left with pi
Answer:
3.14159 Radian
Step-by-step explanation:
3.142rad × 180/π = 180°
Which of the lists of letters all have rotational symmetry?
C,H, N, X
N.O.S. Z
H.J.N.S
F.H. X. Z
Answer:
N, O, S, Z, which will be B
Step-by-step explanation:
Help please thank uuuu
Answer:
B. x = 7; AB = 9, AC = 12
Step-by-step explanation:
12/4 = (x + 2)/(x - 4) (similar triangles theorem)
3 = (x + 2)/(x - 4)
Cross multiply
3(x - 4) = (x + 2)
3x - 12 = x + 2
Collect like terms
3x - x = 12 + 2
2x = 14
x = 14/2
x = 7
✔️AB = x + 2 = 7 + 2
AB = 9
✔️AC = (x + 2) + (x - 4) = (7 + 2) + (7 - 4)
AC = 9 + 3
AC = 12
Given that the measure of ∠x is 90°, and the measure of ∠y is 64°, find the measure of ∠z.
Answer:
26°Step-by-step explanation:
Assuming that your figure is a triangle, we should keep in mind that all the interior angles of a triangle add up to 180°, always.
So, we have the values of angles x and y as 90° and 64°.
90 + 64 = 154° ⇒ Add them up.
Now, subtract 154 from 180 to get ∠z.
180 - 154 = 26°
What is the area of this figure?
Enter your answer in the box.
___in^2
Answer:
400
Step-by-step explanation:
8*20/2+16*20=400.
MY TEAS GONE COLD I WONDERJNV WHY I GOT OUTTA BED ALONE HELP PLEASE
Answer:
54
Step-by-step explanation:
2/3(7-16)^2
2/3(-9)^2
2/3*81
54
WILL MARK BRAINLEST AND WILL GET 5 STARS REVIEW
Tom’s Taxis charges a fixed rate of $4 per ride plus $0.50 per mile. Carla’s Cabs does not charge a fixed rate but charges $1.00 per mile.
a. Write an equation that represents the cost of Tom’s Taxis.
b. Write an equation that represents the cost of Carla’s cabs.
Answer:
a. y= 4 + 0.50x b. y= 1.00x
Step-by-step explanation:
Answer:
a. y = 0.5x +4 b. y = x
Step-by-step explanation:
a. Tom’s Taxis charges a fixed rate of $4 per ride plus $0.50 per mile.
m = $0.50 per mile
b = $4 per ride
y = 0.5x +4
b. Carla’s Cabs does not charge a fixed rate but charges $1.00 per mile.
m = $1 per mile
b = $0 per ride
y = x
Hey guys I need help asap
A salesman earns 15% commission on each household appliance he sells. If he sells 6 toasters at $32 each, what is the commission that he earned?
Answer:
$28.8
Step-by-step explanation:
6x32=192
15% of 192 is 28.8
I need help on this question someone please help. x/4=-12 (this says x divided by 2 equals -8). Explain how you would solve for x and what you would get. I’m in 7th grade so can someone make it easy to read like at the explaining part thanks.
The students in your class are going on a field trip. The ratio of teachers to students must be 1 to 7.
Which graph shows the number of teachers needed for 28 students?
Answer:
4 teachers for 28 students
Step-by-step explanation:
28/7 = 4