Answer:
f(1)= 9
f(2)= 18
Step-by-step explanation:
Use two unit multipliers to convert 50 square centimeters to square meters.
Answer:
0.005 square meters
Step-by-step explanation:
To convert a square centimeter to a square meter, divide the value by 10,000.
[tex]50/10000=0.005[/tex]
50 square centimeters is 0.005 square meters.
PLSSSSSSSS HELP (2 + 7i) - (6 + 8i) + (10 - 10i)
Answer:
6-11i
Step-by-step explanation:
(2 + 7i) - (6 + 8i) + (10 - 10i)
Distribute the minus sign
(2 + 7i) - 6 - 8i + (10 - 10i)
Combine like terms
2-6 +10 +7i-8i-10i
6 -11i
p/3=5 please i need help on this one as well
Answer:
if p/5=3 then the answer is p=15
Step-by-step explanation:
the first step is to isolate the variable and this is done by multiplying both sides by 5
the result of this is p= 5 times 3 which equals 15
the 15th term of the linear sequence:
22, 18, 14, 10, 6
Answer:
The 15th term is - 34Step-by-step explanation:
For an nth term in an arithmetic sequence
U(n) = a + ( n - 1)d
where n is the number of terms
a is the first term
d is the common difference
From the above sequence
a = 22
d = 18 - 22 = 4
We are finding the 15th term so
n = 15
U(15) = 22 + (15-1)-4
= 22 + 14(-4)
= 22 - 56
The final answer is
- 34Hope this helps you.
Answer:
last term is -34
Step-by-step explanation:
Please Help Me!!!!! The displacement of a particle d (in km) as a function of time t (in hours) is given by: d(t) = 2t^3 + 5t^2 − 3. Find the displacement, velocity and acceleration at t = 4 hours. Indicate the correct units for each of these quantities.
Answer:
Step-by-step explanation:
Displacement: d(t) = 2t^3 + 5t^2 - 3
Velocity: (d/dt)(2t^3 + 5t^2 - 3) = v(t) = 6t^2 + 10t
Acceleration: (d/dt)(d/dt)(6t^2 + 10t) = a(t) = 12t + 10
At time t = 4hr,
d(4) = [128 + 80 - 3] km = 205 km
v(4) = [96 + 40] km/hr = 136 km/hr
a(4) = [48 + 10] km per hour squared = 58 km over hours squared
Answer:
Step-by-step explanation:
hello,
for t = 4 hours
[tex]d(4)=24^3+54^2-3=2*64+5*80-3=128+80-3=205[/tex]
this is 205 km
d is differentiable and
[tex]d'(t)=6t^2+10t[/tex]
and
[tex]d'(4)=6*4^2+10*4=6*16+40=96+40=136[/tex]
this is 136 km/h
d' is differentiable and
[tex]d''(t)=12t+10[/tex]
and
[tex]d''(4)=12*4+10=48+10=58[/tex]
this is [tex]58 \ km/h^2[/tex]
Find the missing length indicated.
Answer:
x=65
Step-by-step explanation:
h²=25*(169-25)=25*144=3600
x²=h²+25²=3600+625=4225
x=√4225
x=65
Square ABCD has vertices at A(-1,3) B(0,7) C(4,6) and D(3,2). How many units is the perimeter of square ABCD
Answer:
16.492422502 units or 4√17 units
Step-by-step explanation:
The Perimeter of a Square can be defined as the Addition of it's 4 sides or the Multiplication of 4 and one of its sides.
This means,
The perimeter of square = a + b + c + d
or
4 × any of the sides because the sides of a square are equal to one another.
In the above question, we are given vertices at A(-1,3) B(0,7) C(4,6) and D(3,2)
The formula to solve for this is
√(x2 - x1)² + (y2 - y1)² when you have vertices: (x1 , y1 ) and (x2 , y2)
For Side AB: A(-1,3), B(0,7)
= √(x2 - x1)² + (y2 - y1)²
= √(0- (-1))² + (7 - 3)² = √1² + 4² = √1 + 16 = √17
For Side BC: B(0,7), C(4,6)
√(x2 - x1)² + (y2 - y1)²
= √(4 - 0)² + (6 - 7)² = √4² + 1² = √16 + 1 = √17
For Side AD : A(-1,3), D(3,2)
= √(x2 - x1)² + (y2 - y1)²
= √(3- (-1))² + (2 - 3)² = √4² + (-1)² = √16 + 1= √17
For Side CD: C(4,6), D(3,2)
= √(x2 - x1)² + (y2 - y1)²
= √(3 - 4)² + (6 - 2)² = √-1² + 4² = √1 + 16 = √17
From the above calculations we can side that sides AB = BC = AC = CD
Hence the perimeter of square ABCD can be calculated as 4 × √17 or √17 + √17 + √17 + √17
= 16.492422502 units or 4√17 units
What is the value of a?
Answer:
6sqrt(2)
Step-by-step explanation:
Use the right angle altitude theorem.
4/a = a/18
a^2 = 4 * 18
a^2 = 2 * 36
a = 6sqrt(2)
Max collected data on height of each of his 20 classmates. The box plot shown represents his data. Pic of data is shown plz help thx
Answer: Though I don't know your question, the median height is 65 inches. The range is 17 and the intequartile range is 8.
Step-by-step explanation:
Median- Center of Data
Range- Highest Value minus Lowest Value
Interquartile Range- Quartile 3 minus Quartile 1
Answer:
Here you go
Step-by-step explanation:
What is the center and radius of the circle that has the equation x+72+y-42=49? Explain.
Answer: The center is (-7, 4) and the radius is 7.
Step-by-step explanation:
The equation for a circle usually is:
(x - a)^2 + (y - b)^2 = R^2
where R is the radius, and (a, b) is the center of the circle.
I guess that the equation in this case is:
(x + 7)^2 + (y - 4)^2 = 49
then, in this case we have:
a = -7 and b = 4, then (a, b) = (-7, 4)
this means that the center of our circle is in the point (-7, 4)
and we know that:
R^2 = 49
R = √49 = 7
Then the radius is equal to 7.
Which of the following equations demonstrate that the set of polynomials is not closed under the certain operations?
A. Subtraction: (3x4 + x) - (-2x4 + x) = 5x4
B. Multiplication: (x2 - 5x+3)(x - 5) = x3 - 10x2 +28x - 15
C. Division: (x2+x)=(x + 1) =X
D. Division: (x2 - 5x + 3) + (x-5) = x + -3/X-5
Answer:
D. Division: (x² - 5x + 3) ÷ (x-5) = x + 3/(x - 5)
Step-by-step explanation:
Polynomials are closed under subtraction and multiplication because any subtraction or multiplication of polynomials gives as result another polynomial.
As can be seen in option D, polynomials aren't closed under division because not every division between polynomials gives as result another polynomial.
I need help with this question can someone please help me
Answer:
y+1=2(x-1)
Step-by-step explanation:
Point-slope form is expressed as y-y₁=m(x-x₁)
m being the slope, simply plugin the points they gave you and flip signs as needed.
Answer: the answer is c counting on how diagle the line is.
Step-by-step explanation:
what is pi rounded to the nearest 15th
Answer:
3.1415926535 8979
Step-by-step explanation:
bruh just search it in google
Zack's science class is learning about ways to find the volume of irregularly-shaped objects. For his first experiment, Zack finds that a small marble statue weighs 1.3 kilograms. Then, he uses its density to find its volume in liters. If the density of marble is approximately 2.6 grams per milliliter, what is the volume of Zack's statue?
Answer:
The volume of the small marble is 500ml or 0.5 liters
Step-by-step explanation:
Mass of the small marble = 1.3kg
Convert it into grams
Mass of the small marble = 1300 grams
Density of the small marble = 2.6 grams/ml
Volume of the small marble = ?
The formula for density is given as:
Density = Mass / Volume
Where we need to find the volume, so rearrange the equation with respect to Volume.
Volume = Mass / Density
Volume = 1300 (grams) / 2.6 (grams/ml)
Volume = 500 ml
Thus, the volume of the small marble is 500ml or 0.5 liters
Trying to find the missing segment to the triangle in the attached image.
Answer:
44 units length
Step-by-step explanation:
The side splitter theorem states that if a line is parallel to a side of a triangle and the line intersects the other two sides, then this line divides those two sides proportionally. Therefore:
20/10 = x/22
20/10*22 = x
44 = x
Which point on the number line could represent Negative 2 and one-fourth? A number line going from negative 5 to positive 5. Point A is between negative 4 and negative 3, point B is between negative 3 and negative 2, point C is between negative 2 and negative 1, point D is between negative 1 and 0.
Answer:
It's B
Step-by-step explanation:
Find the mean, median, mode and range for the following set of numbers. answers with the corresponding numbers
5,6,6,11,12
Answer:
Mean: 8
Median: 6
Mode: 6
Range: 7
Step-by-step explanation:
Mean: 5+6+6+11+12=40 Then. 5 numbers, so 40 divided by 5=8.
Median: The middle number which is 6
Mode: The most occurring number which is 6.
Range: Highest number(12)-lowest number (5)=7
Answer: median= 1.05
Step-by-step explanation: mean: 8
mode: 6
In the proportionm 1/Z 4/5/8 which number is equal to Z in the proportion?
Answer:
Z = 8
Step-by-step explanation:
4 5/8 = 37/8
1/Z = 37/8
So..
Z = 8
Hope this helps! :)
You are playing a board game. All even numbers are positive, and all odd numbers are negative. A positive number indicates forward movement, and a negative indicates backward movement. During your last 10 turns, you have gone back 90 spaces. if you spun the same number each time which number did you spin?
Answer:
Step-by-step explanation:
We khow that a positive number means going forward whereas a negative one means going bachward positive ⇒even negative⇒oddwe moved 90 spaces back so we are dealing with a an odd number we played ten timesLet o be the number we spinned ten times :
90= 10 o0= 90/10 o=9We spinned 9 ten times
solve x²+5x+6=0 by completing the square
Answer:
x = -2
x= -3
Step-by-step explanation:
x 2+5x+6=0
To solve the equation, factor x^2+5x+6 using formula x^2+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.
a+b=5
ab=6
Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 6.
1,6
2,3
Calculate the sum for each pair.
1+6=7
2+3=5
The solution is the pair that gives sum 5.
a=2
b=3
Rewrite factored expression (x+a)(x+b) using the obtained values.
(x+2)(x+3)
To find equation solutions, solve x+2=0 and x+3=0.
x=−2
x=−3
A 40-foot tree casts a 12-foot shadow. How long is the shadow of a 5-foot-tall person?
A) 5 feet
B) 2 feet
C) 0.67 feet
D) 1.5 feet
Answer:
[tex]\text{D) }1.5\text{ feet}\\[/tex]
Step-by-step explanation:
We can use proportionality to solve this.
The height of the tree can act as the height of a right angled triangle, where the shadow is the base. The angle between the end of the shadow and the top of the object will be the same as the sun will shine from the same relative angle in the sky.
Therefore :
[tex]\frac{\text{Height of tree}}{\text{Height of person}}=\text{Scale factor}=\frac{\text{Length of tree's shadow}}{\text{Length of person's shadow}}[/tex]
[tex]\frac{40}{5}=8\\\frac{12}{x}=8\\\text{Where x is the length of the person's shadow}\\12=8x\\x=1.5[/tex]
[tex]\frac{12}{x}=8[/tex]
which point is a solution to the solution≤8x-3
Answer:
-24
Step-by-step explanation:
8×-3=-24
hope you understood
in which number does the digit 5 have a value that is 10 times as great as the digit 5 in the number 4.59?
Answer:
2775.9
Step-by-step explanation:
options are
A) 578
B) 2775.9
C) 134.591
D) 31.757
Value of digit 5 in 4.59 is 0.5 as is is at tenth place after decimal
0.5 = 5/10
ten times of this value = 5/10*10 = 5
Thus, 5 is the value, and hence the number which we require should be at unit place of the required number.
In the given question
A) 578
here 5 is at hundredth place
other way to represent is is 500+70+8
B) 2775.9
here 5 is unit place and is correct option
it can be represented as
2000+ 700+ 70+ 7 + 9/10
c)C) 134.591
here 5 is tenth place after decimal
it can be represented as
100+ 30+ 5 + 5/10+9/100 + 1/1000
d)31.757
here 5 is hundredth place after decimal
it can be represented as
30+ 1 + 7/10+5/100 + 7/1000\
Hence, 2775.9 is correct choice.
Rohit visited a pumpkin patch with his family. The table shows the relationship between the weight and price of a pumpkin.
A table titled Pumpkin Patch Sales with two columns and six rows. The first column, Weight in pounds, has the entries, 4, 8, 12, 16, 20. The second column, Price in dollars, has the entries, 6, 12, 18, 24, 30.
Which statement describes the slope of a graph of the data?
For each additional pound, the price increases $0.50.
For each additional pound, the price increases $1.50.
For every additional dollar, the pumpkin can increase by 1.5 pounds.
For every additional dollar, the pumpkin can increase by 0.5 pounds.
Answer:
For each additional pound, the price increases $1.50.
Step-by-step explanation:
Lets find the slope of the graph of othe given data.
Let x be the weight of pumpkin in pounds
Let y be the price of the pumpkin in dollars.
For 4 pound pumpkin the price is 6 dollars, so first point is (4,6)
For 8 pound pumpkin the price is 12 dollars, so first point is (8,12)
Find the slope between these points
m = y₂ - y₁ / x₂ - x₁
m = 12 - 6 / 8 -4
m = 6/4
m = 1.5
Which means that for every pound increase in weight, the price of pumpkin increases by 1.5 dollars
Answer:
B
Step-by-step explanation:
32. The expression a^x means that a is to be used as a factor x times. Therefore, if a^x is squared, the result is
A) a^x^2
B) a^2^x
C) 2a^2^x
D) 2a^x
Answer:
B. a^2x
Step-by-step explanation:
squaring a^x gives. (a^x)²
by applying the rules of indices, ^2 multiplies x therefore making it a^2x
The degree of the polynomial function f(x) is 4. The roots of the equation f(x)=0 are −2, −1, 1 and 3.
Answer:
f(x) = x^4 - x^3 - 7x^2 + x + 6
Step-by-step explanation:
Please, always share the instructions with every question you post. I am assuming that you are to write out the factors corresponding to the given roots, thus constructing a 4th degree polynomial, and then performng the multiplication necesssary to produce that polynomial with terms in descending order by power of x. Note that there must be 5 such terms.
f(x) = (x + 2)(x + 1)(x - 1)(x - 3)
Multiplying this out, we get:
f(x) = (x + 2)(x^2 - 1)(x - 3), or
f(x) = (x^3 - x + 2x^2 - 2)(x - 3), or:
f(x) = (x^3 + 2x^2 - x - 2)(x - 3), or:
f(x) = x^4 + 2x^3 - x^2 - 2x - 3x^3 - 6x^2 + 3x + 6
Combining like terms, we get:
f(x) = x^4 - x^3 - 7x^2 + x + 6
Note that because this is a 4th degree polynomial, the end behavior resembles that of the graph of y = x^4. As x increases, y initially decreases in Quadrant II, passes through the y-intercept (0, 6), and then increases without bound in Quadrant I.
There are 2 Senators from each of 50 states. We wish to make a 3-Senator committee in which no two members are from the same state. How many ways can we choose a Senator from a chosen state?
Answer:
2
Step-by-step explanation:
A state has 2 senators, so once you choose the state, there are 2 ways you can choose a senator from that state.
Which of the two could be side lengths of the same triangle?
A. 12 cm, 17 cm, 25 cm
or
B. 8 yd, 13 yd, 17 yd.
Answer:
Step-by-step explanation:
it’s A 12 cm, 17cm, 25 cm
Answer:
I think both
A. 25 yd, 12 yd, 17 yd
B . 8yd, 13 yd, 17 yd
Step-by-step explanation:
12<17+25 8<13+17
17<12+25 17<13+8
25<17+12 13<17+8
but
12>25-17 and
25>17-12 8>17-13
17>25-12 17>13-8
13>17-8
I need help on algebra
Answer:
1) 5x³ + 3x²
2) 25 - 3x⁵
3) -4ab + 2a² + 26
4) p²q³ + pq
Step-by-step explanation:
Like terms are expressions like 3x and 2x or 5x² and 8x².
1) x² + 5x³ + 2x²
5x³ + 3x²
2) -2x⁴ + 16 + 2x⁴ + 9 - 3x⁵
-2x⁴ + 2x⁴ + 25 - 3x⁵
25 - 3x⁵
3) ab - a² + 4² - 5ab + 3a² + 10
ab - a² + 16 - 5ab + 3a² + 10
ab - a² - 5ab + 3a² + 26
ab - 5ab + 2a² + 26
-4ab + 2a² + 26
4) 3p²q² - 3p²q³ + 4p²q³ - 3p²q² + pq
3p²q² + p²q³ - 3p²q² + pq
p²q³ + pq
Please help me out i need it ASAP
Answer: C
Step-by-step explanation:
5 squareroot 2 = 7.07 which if you look up a 45 45 90 triangle calculator it is also eqivelant :)