Answer:
x =(1-√-83)/6=(1-i√ 83 )/6= 0.1667-1.5184
x =(1+√-83)/6=(1+i√ 83 )/6= 0.1667+1.5184
Step-by-step explanation:
3x2-x+7=0
Two solutions were found :
x =(1-√-83)/6=(1-i√ 83 )/6= 0.1667-1.5184i
x =(1+√-83)/6=(1+i√ 83 )/6= 0.1667+1.5184i
10. A population of 1,236,000 grows 1.3% per year for 10 years.
11. A population of 752,000 decreases 1.4% per year for 18 years.
12. A new car that sells for $18,000 depreciates 25% each year for 4 years.
13. The value of a piece of equipment has a decay factor of 0.80 per year.
After 5 years, the equipment is worth $98,304. What was the original
value of the equipment?
14. A new truck that sells for $29,000 depreciates 12% each year. What is
the value of the truck after 7 years?
15. The price of a new home is $350,000. The value of the home appreciates 2%
each year. How much will the home be worth in 10 years?
Original Population = 1236000
Growth Rate = 1.3% per year
Since the population grows at an exponential rate, we can say that the growth of the population is an exponential growth.
Using the formula of exponential growth
population after 10 years = Original population (1-1.3%)^10
= 1236000 {1+(1.3/100)}^10
= 1236000 (1+0.013)^10
= 1236000 × 1.013^10
= 1236000 × 1.13787
= 1406407.32
A line passes through the points (4, -1) and (2,3). What is the slope of the line?
Answer:
-2
Step-by-step explanation:
image attached!
What is example of natural numbers
Answer:
1, 2, 3, and so on are natural numbers.
Step-by-step explanation:
Which situation is most likely to have a constant rate of change?
A. The total amount paid for gas compared with the number of
gallons purchased.
B. Distance a delivery truck travels compared with the number of
deliveries made
) C. Number of flowers in a flower bed compared with the area planted
D. Points scored in a basketball game compared with the number of
quarters played
Answer:a
Step-by-step explanation:
In which type of triangle is the orthcenter on the perimeter of the triangle
Answer:
Right Triangle
Step-by-step explanation:
All altitudes meet on the right angle vertex.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Please help me please
Answer:
⅓
Step-by-step explanation:
Total 6 possible outcomes
Same colour:
White, white
Blue, blue
P(same colour) = 2/6 = 1/3
Answer:
1/3
Step-by-step explanation:
Looking at the possibilities ( there are 6)
There are 2 that have the same shirt and shorts of the same color ( white white and blue blue)
That means we have 2 out of 6 that meet the requirements
2/6 = 1/3
In Circle C, EA and FB are diameters. Identify the following Two major arcs.
Answer:
See explanation
Step-by-step explanation:
Two major arcs:
[tex] \widehat {EAB}, \:\:\widehat {FAD}[/tex]
Two minor arcs:
[tex] \widehat {EF}, \:\:\widehat {AB}[/tex]
What is the measurement for the diameter of a circle with a circumference of 88 ft?
Use 3.14 for Pi. Round your answer to the nearest foot.
Answer: 617 ft.
Step-by-step explanation: So first, the formula is A=C²/ 4π, knowing this, let's just plug in our numbers
A = C² / 4 · π
A = 88² / 4 · 3.14
A = 7744 / 4 · 3.14
A = 7744 / 12.56
A = 7744 / 12.56
A = 616.56
A ≈ 617
Hope this helps :)
5. The length of a rectangle is 5 inches greater than the width.
Question
Answer
a. Write an expression for the width of the rectangle.
b. Write an expression for the length of the rectangle.
multiply
Answer:
see below
Step-by-step explanation:
Let w = width
L = length = w+5
The area is l*w
A = (w+5)*w
A = w^2 +5w
Which of the following is an example of a function
whose graph in the xy-plane has no x-intercepts?
A) A linear function whose rate of change is not
B) A quadratic function with real menos
© A quadratic function with no real xeros
D) A cubic polynomial with at least one real zero
Answer: Option C.
Step-by-step explanation:
A function goes trough the x-axis when f(x) = 0 for some value of x.
For example, when we say that a quadratic function has no real zeros, this means that the determinant is less than zero, so the roots of the equation:
a*x^2 + b*x + c = 0
are complex roots, this means that for the function:
f(x) = y = a*x^2 + b*x + c
there is not a real number x such f(x) = 0
So the correct option is C.
The quadratic function with no real zeros is an example of a function whose graph in the xy-plane has no x-intercepts.
What is x-intercept?The x-intercept is the point on the coordinate at which a line, curve or plane intersect with the x-axis.
The example of a function whose graph in the xy-plane has no x-intercepts has to find out.
X-intercept is the point over the graph where,
[tex]y=f(x)[/tex]
Here, x is the roots of the function.
For no value of x-intercepts, the function become,
[tex]y=0[/tex]
[tex]f(x)=0[/tex]
Here, the zeros and roots are the same, where function become equal to zero.
Thus, the quadratic function with no real zeros is an example of a function whose graph in the xy-plane has no x-intercepts.
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yoyoyoyooyyoyoyoyyyoy I need help plz someone
Answer:
14 units, 19.8 units (3 s.f.)
Step-by-step explanation:
To find the length of each side of the square ABCD, find the length of AB.
Refer to the picture attached.
AB= AX +XB
Let's find the length AX first.
(see triangle AXY)
Applying Pythagoras' Theorem,
(AX)² + (XY)² = (AY)²
(AX)² +12²= 13² (subst. known values)
(AX)²= 169 -144 (move constant to 1 side)
(AX)²= 25 (simplify)
AX= √25 (square root both sides)
AX= 5 units
Now, let's find the length of XB.
(see triangle BXY)
Applying Pythagoras' Theorem,
(XB)² + (XY)²= (BY)²
(XB)² +12²= 15²
(XB)²= 225 -144 (bring constant to 1 side)
(XB)²= 81 (simplify)
XB= √81 (square root both sides)
XB= 9 units
AB
= 5+9
= 14 units
Therefore, length of each side of square ABCD= 14 units
To find the diagonal of the square, focus on the red shaded triangle (refer to picture 1).
Since squares have equal sides, AD= DC= 14 units
Applying Pythagoras' Theorem,
(AC)²= (AD)² +(DC)²
(AC)²= 14² +14² (subst. known values)
AC= √392 (simplify)
AC= 19.8 units (to 3 s.f.)
3x-9y=9 -3x+4y=14 (1,-3) (6,1) (1,-8)
The radius of the earth is 3959 miles. A meteor with a diameter of 750 miles strikes the earth in an unpopulated area. What percent of the earths surface is affected by the meteor strike? Is it a 36% be 0.9% C9% or D3.6%
Answer:
B. 0.9%
Step-by-step explanation:
If the diameter of the meteor is 750 miles, then its radius is 750/2 = 375 miles
The radius of the earth is 3959 miles
Assuming that both bodies are spherical, their surface are:
meteor's surface: π*r² = π*375² = 441786.467 miles²
Earth's surface: π*3959² = 49240321.1 miles²
If 49240321.1 miles² represents 100% then 441786.467 miles² represents:
49240321.1 miles² / 100% = 441786.467 miles² / x%
x = 441786.467/49240321.1*100
x = 0.9%
Answer:
B) 0.9%
Step-by-step explanation:
neeeed helpp!!!! thank you
Answer:
1: 12d
2: m^-2 n^3
Step-by-step explanation:
For problem 1, you subtract all of the exponent(s) for 4d^4 by adding -4 and 4 together to create zero, thus removing the exponent(s), then you multiply 3×4 and get 12d.
For problem 2, you just put m^-2 and n^3 together. You cannot combine the exponents or variables, so it would just look like m^-2 n^3
The ^ before a number means that it is an exponent.
HELP ME PLZ ASAP!!!!!
Answer:
x=30, A=132
Step-by-step explanation:
These 2 angels are alternate interior angles so they are equal
5x-18=3x+42
Solve.
2x=60
x=30
Now substitute x into angle A
A=150-18
A=132
Answer:
The variable X should be 30.
Step-by-step explanation:
∠132=5(30)-18° = ∠132=3(30)+42°
The value of which of these expressions is closest to e?
A. (1+1/19)^19
B. (1+1/22)^22
C. (1+1/20)^20
D. (1+1/21)^21
Answer:
B.
Step-by-step explanation:
Given: expressions
To find: the expression whose value is closest to e
Solution:
Value of e is 2.718
[tex]\left ( 1+\frac{1}{19} \right )^{19}=\left ( \frac{20}{19} \right )^{19}=2.65\\\left ( 1+\frac{1}{22} \right )^{22}=\left ( \frac{23}{22} \right )^{22}=2.659\\\left ( 1+\frac{1}{20} \right )^{20}=\left ( \frac{21}{20} \right )^{20}=2.653\\\left ( 1+\frac{1}{21} \right )^{21}=\left ( \frac{22}{21} \right )^{21}=2.656[/tex]
Therefore, value 2.659 is closest to the value of e.
So, option B. is correct.
Answer:
B
Step-by-step explanation:
x ≥ 63.4
x ≤ 96.6
x ≤ 63.4
x ≥96.6
Answer:
x ≤ 63.4
Step-by-step explanation:
.25x+4.15 ≤20
Subtract 4.15 from each side
.25x +4.15 -4.15 ≤ 20-4.15
.25x ≤ 15.85
Divide each side by 15.85
.25x/.25 ≤ 15.85/.25
x ≤ 63.4
This is like a stupid question I know how to do it but I just can’t so could someone help
Answer:
-6.7, -28/5, 8.2, 17/2
Step-by-step explanation:
Divide the fractions to turn them into decimals, then organize from least to greatest!
Answer:
The second one
Step-by-step explanation:
Divide 17 by 2 = 8.5
Divide -28 by 5 = -5.6
Therefore:
-28/5, -6.7, 8.2, 17/2
Hope this helps!
What is the perimeter of this rectangle? Will mark brainliest.
Answer:It's C, 425 ft.
Step-by-step explanation:
You multiply 17 ft. by 25 ft.
Answer:
84 feet
Step-by-step explanation:
there are 4 sides: 17 feet, 17 feet, 25 feet, and 25 feet
to get perimeter you add all the sides together. 17+17=34 then 25+25=50. 50+34=84.
therefore 84 feet is your answer.
Which of the following statements is not true?
Which numbers are solutions to the inequality -3x-3<_6? Check all of the boxes that apply.
Answer:
0,2,4
Step-by-step explanation:
Answer: 0,2,4
Step-by-step explanation:
Will give brainliest answer
Answer
Step-by-step explanation:
To find the area of a shape multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.
please mark me as brainliest.
Answer:
[tex]7 units^2[/tex]
Step-by-step explanation:
You can split this irregular shape into a square and a trapezoid.
The formula for a square is:
[tex]A=lw[/tex]
The formula for a right trapezoid:
[tex]A=\frac{1}{2} (h)(a+b)[/tex]
Area of square:
[tex]A=(2)(2)\\A=4[/tex]
Area of right trapezoid:
[tex]A=\frac{1}{2} (2)(1+2)\\A=3[/tex]
Add up the individual areas to find the overall:
4 + 3 = 7
What positive value of x makes the following equation true: x^2 = 289? Expain
Answer:
17
Step-by-step explanation:
17x17= 289
Answer:
The square root of 289 is also 17.
Step-by-step explanation:
Mark placed a pool in his backyard, which is enclosed by a triangular fence. The radius of the pool is 20.5 feet.
Answer:
A. 3,864 ft²
B. 1,319.585 ft²
C. 2,544.415 ft²
Step-by-step explanation:
Area of triangle:
½ × 92 × 84
3864 ft²
Area of circle:
pi × r²
3.14 × 20.5²
1319.585 ft²
Difference:
3864 - 1319.585
2544.415 ft²
Event A: stops on red
Event B: stops on yellow
Find P(A or B)
A.) 1/4
B.) 1/8
C.) 1/2
D.) 1/16
Answer:it is 1/2
Hopefully this helps
Answer:
Event A: stops on red
Event B: stops on yellow
Find P(A or B)
1/2
find the missing letter which is n.then find the perimeter. the width is 3ft and area is 33sq ft
Answer:
Perimeter = 28 ft
n = 11
Step-by-step explanation:
Area = length x width
33 = n * 3
n = 11 = length
then the perimeter is 2Length + 2Width
= 2*11 + 2*3 =
22 + 6 = 28
Answer:
Step-by-step explanation:
Area = 33 sq ft
length * width = 33
n * 3 = 33
Divide both sides by 3
n = 33/3
n = 11 ft
Perimeter = 2*(length + width)
= 2*(11 + 3)
= 2* 14
= 28 ft
!!15p!!
Which statement explains how to calculate the mean of a set of data?
A
Subtract the smallest from the largest value.
B. Add the largest and the smallest values and divide by 2.
C. Find the sum of all the values and then divide by the number of values.
D. Organize the data from least to greatest and find the value in the middle.
E Organize the data from least to greatest and identify which value is repeated the most often.
Answer:
C
Step-by-step explanation:
Mean is just another name for average. To find the mean of a data set, add all the values together and divide by the number of values in the set. The result is your mean!
Seven different models cars, from which there are three blue and four red, are to be parked in a row. Find how many different arrangements there are if the first, the last, and the car in the middle of the queue should be blue.
Answer ASAP for brainliest answer!
Answer:144 ways
Step-by-step explanation:
Given
There are 7 different models cars
out of which three are blue and 4 are red
If the first middle and last car in Queue is blue car therefore the position of blue cars is fixed
But these 3 cars can be arranged in 3! ways
Remaining 4 cars can be arranged in remaining 4 spots in 4! ways
Therefore total no of ways are
[tex]=3!\times 4![/tex]
[tex]=6\times 24=144\ ways[/tex]
Samira is playing a game with the spinner shown. a. What is the theoretical probability that the pointer will land in a section labeled with the letter A on a given spin? Enter as a fraction. b. Predict how many times the pointer will land in a section labeled with the letter A after 300 spins. J J O S H U A A K E a. The theoretical probability that the spinner will land on a section labeled A is . (Type an integer or a simplified fraction.)
Answer:
A. 1/5
B. 60 times
Step-by-step explanation:
The theoretical probability that the pointer(a) is 1/5 and the pointer will land in a section labeled with the letter A after 300 spins (b) is 60
We have given that the Samira is playing a game with the spinner shown.
We have to deterine the theoretical probability that the pointer will land in a section labeled with the letter A on a given spin.
What is the probability of spinner?This probability is equal to the amount of '1's divided by the total amount of numbers on the spinner.
Thus,The theoretical probability that the spinner is 1/5.
and also the pointer will land in a section labeled with the letter A after 300 spins.
Therefore we get,
[tex]1/5\times 300/1=300/5=60[/tex]
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A 4-pound bag of apples costs $5.00. Based on that rate, which equation shows how y, the cost in dollars, is realted to x, the weight in pounds?
y = x - 1
y = 1.25x
y = 0.8x
y = x + 1
y = 1.25 x equation shows the correct relation of x
What is linear graph?
Linear graph is represented in the form of a straight line. To show a relationship between two or more quantities we use a graphical form of representation.
According to the question,
Cost of apples, y, varies directly with pounds
of apples purchased, x.
y = k. x
k is constant of proportion
Four pounds of apples cost $5
5 = 4. k
k = 5/4 = 1.25
As it should be, k is a constant equal to 1.25
y = 1.25 x for 4 pounds of apples
Hence, y = 1.25 x equation shows the correct relation of x
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