Answer:
m=8-4/6-2
m=1
y-4=1(x-2)
y=x+2
Sketch the graph of the given function. Then state the function’s domain and range. y = 4(4)x
To sketch the graph of the function y = 4(4)^x, we can start by plotting a few points to get an idea of the shape of the graph.
Let's choose some x-values and calculate the corresponding y-values:
For x = -2, y = 4(4)^(-2) = 4(1/16) = 1/4
For x = -1, y = 4(4)^(-1) = 4(1/4) = 1
For x = 0, y = 4(4)^0 = 4(1) = 4
For x = 1, y = 4(4)^1 = 4(4) = 16
For x = 2, y = 4(4)^2 = 4(16) = 64
Now we can plot these points on a coordinate plane and connect them to form the graph of the function.
The graph of y = 4(4)^x will start at the point (0, 4) and increase rapidly as x increases. It is an exponential growth function where the base is 4.
The domain of the function is all real numbers since there are no restrictions on the values of x.
The range of the function is the set of positive real numbers greater than zero. As x increases, y grows without bound, approaching positive infinity but never reaching zero or becoming negative.
brayden saves 1500 at a yearly simple interest rate of 2.5. how many years doess it take for the amount he has served to be double the original
I WILL GIVE U 100 POINTS
Answer:
80 years
Step-by-step explanation:
(.025)*n = 2 solve for n
Someone help me please and thank you
Answer: 2a < 2b
Step-by-step explanation:
We are given a statement:
a < b and b < c, then 2a ____ 2b
We can use simple numbers that make the statement true.
Where,
a = 2
b = 3
c = 4
Now lets plug it in.
2 < 3 and 3 < 4, then 2(2) ____ 2(3)
and lets simplify:
2 < 3 and 3 < 4, then 4 ____ 6
We can see that 4 is less than 6,
so as a is less than b, 2a is less than 2b.
The only thing changing is the coefficient being multiplied by the variables a and b.
HELP PLEASE!!
Quadrilateral CDEF is a rhombus. What is m
Answer:
∠ BDC = 29°
Step-by-step explanation:
the sides of a rhombus are congruent, so CD = ED and Δ EDC is therefore isosceles with base angles congruent , then
∠ BCD = ∠ BED = 61°
• the diagonals are perpendicular bisectors of each other , then
∠ CBD = 90°
the sum of the 3 angles in Δ BCD = 180°
∠ BDC + ∠ CBD + ∠ BCD = 180°
∠ BDC + 90° + 61° = 180°
∠ BDC + 151° = 180° ( subtract 151° from both sides )
∠ BDC = 29°
Lz + A= [; ; ;] 13 _ [ ( 2 3 ] c [: ;] 5 . [ '| E [,] Which of the 25 matrix products AA, AB, AC defined? Compute those products that are defined_ ED, EE are
we can compute A=3 by 3 matrix, B= 1 by 3 matrix
C=2 by 2 matrix D= 3 by 1 matrix and E= 1 by 1 matrix ,
We can compute only AA ,AD,BA, BD,CC,DB,EE,
\(We\ have \ A=\left[\begin{array}{ccc}1&0&-1\\2&1&0\\3&2&1\end{array}\right] \\\\B=[1\ 2 \ 3]\\\\C=\left[\begin{array}{ccc}1&1\\1&1&\end{array}\right] \\\\D=\left[\begin{array}{ccc}1\\1\\1\end{array}\right] \\\\E=[3]\)
So ,we have to produced 25 matrix -
AA,AB,AC,AD,AE
BA,BB,BC,BD,BE
CA,CB,CC,CD,CE
DA,DB,DC,DD,DE
EA,EB,EC,ED,EE
To multiply two matrix column of first matrix equal to row of second matrix.
So we can compute A=3 by 3 matrix, B= 1 by 3 matrix
C=2 by 2 matrix D= 3 by 1 matrix and E= 1 by 1 matrix ,
We can compute only AA ,AD,BA, BD,CC,DB,EE,
\(AA=\left[\begin{array}{ccc}1&0&-1\\2&1&0\\3&2&1\end{array}\right] \left[\begin{array}{ccc}1&0&-1\\2&1&0\\3&2&1\end{array}\right] \\\\AA=\left[\begin{array}{ccc}-2&-2&-2\\4&1&-2\\10&4&-2\end{array}\right] \\\\AD=\left[\begin{array}{ccc}0\\1\\6\end{array}\right] \\\\CC=\left[\begin{array}{ccc}2&2\\2&2\\\end{array}\right] \\\\EE=[9]\)
So we can compute A=3 by 3 matrix, B= 1 by 3 matrix
C=2 by 2 matrix D= 3 by 1 matrix and E= 1 by 1 matrix ,
We can compute only AA ,AD,BA, BD,CC,DB,EE,
The complete question is :-
Let the matrices,
\(A=\left[\begin{array}{ccc}1&0&-1\\2&1&0\\3&2&1\end{array}\right] \\\\B=[1\ 2 \ 3]\\\\C=\left[\begin{array}{ccc}1&1\\1&1&\end{array}\right] \\\\D=\left[\begin{array}{ccc}1\\1\\1\end{array}\right] \\\\E=[3]\)
Which of the 25-matrix products AA, AB, AC ......EE are defined? Compute those products that are defined.
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Please help me solve -8(-3d-2)
Hello there! :)
Here, we have to use the Distiributive Property:
-8(-3d-2)
24d+16
The Distributive Property states that:
a(b+c)=ab+ac
Hope it helps!
~Just a determined gal
#CarryOnLearning
\(MysteriousNature\)
find the area of the shape below giving your answer to the 1 decimal place. 10cm, 15 cm
Answer:
The area is : 189.27
Step-by-step explanation:
Rectangle: 10 x 15
Semicircle or half circle: A=πr2=π·52≈ 78.53982 = 78.54/2 = 39.27
Add Reactangle: 150 + 39.27
evaluate the expression 3.14 (a2+ab) when a equals 3 and b equals 4.
Answer:
I get 65.94
Step-by-step explanation: 6 15 19 11
3.14 (a²+ab) when a equals 3 and b equals 4
3.14 (a²+ab) when a equals 3 and b equals 4
3.14 (3²+3b) when a equals 3 and b equals 4
3.14 (a²+ab) when a equals 3 and b equals 4
3.14 (3²+3×4) when a equals 3 and b equals 4
3.14 (3²+3×4)
3.14 (9+12)
3.14 (21)
3.14 × 21 = 62.8 + 3.14 = 65.94
solve the following question
14. The trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4
15. In the trigonometric equation 2(cos²θ - sin²θ) = 1, θ = 15°
What is a trigonometric equation?A trigonometric equation is an equation that contains a trigonometric ration.
14. To find the value of (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°, we proceed as follows
Since we have the trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°,
We know that sin47° = sin(90 - 43°) = cos43°. So, substituting this into the equation, we have that
(sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = (cos43°/cos43°)² + (cos43°/cos43°)² - 4cos²45°
= 1² + 1² - 4cos²45°
We know that cos45° = 1/√2. So, we have
1² + 1² - 4cos²45° = 1² + 1² - 4(1/√2)²
= 1 + 1 + 4/2
= 2 + 2
= 4
So, (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4
15. If 2(cos²θ - sin²θ) = 1 and θ is a positive acute angle, we need to find the value of θ. We proceed as follows
Since we have the trigonometric equation 2(cos²θ - sin²θ) = 1
We know that cos2θ = cos²θ - sin²θ. so, substituting this into the equation, we have that
2(cos²θ - sin²θ) = 1
2(cos2θ) = 1
cos2θ = 1/2
Taking inverse cosine, we have that
2θ = cos⁻¹(1/2)
2θ = 30°
θ = 30°/2
θ = 15°
So, θ = 15°
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20 miles is equal to how many kilometers? (1 mile ≈ 1.6 km)
Answer:
32.1869 or 32
Step-by-step explanation:
The math term for this topic would be conversions
In order to get the answer for this question we will be using fraction form.
Solving the question:
\(\frac{x}{20}\) = \(\frac{1.6}{1}\) the top is for the km and the bottom is the miles 20 x 1.6------------------------- < multiply across to get this
1
X = 32km
Statement:
Therefore, 20 miles is equaled to 32 kilometers.
PLEASE HURRY
The Liberia zoo had 30 giraffes in its exhibit. The zoo loaned 7 giraffes to a neighboring zoo. How many giraffes remained at the Liberia zoo? Which equation models the situation? How many giraffes remained at the Liberia zoo?
ready readyup here we go
Answer:
B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
all the other ones are incorrect.
You deposit $5000 in an account earning 3% interest compounded monthly. How much will you have in the account in 15 years?
Answer: 32,000
Step-by-step explanation:
5,000 x 3%= 150
150 x 12 months= 1800
1,800 x 15 years= 27,000
27,000 + 5,000= 32,000
Answer:
3÷ 100=0.03
5000×0.03=150
1 year = 12month
12 ×15 =180
150×180 = 27000
in 15years he will have 27000+5000 $32000
how to get complete exponential functions y=1/6
The missing values of y in the exponential function are 6 and 1/36.
What is the missing parts of the table?The missing part of the table is calculated as follows;
The exponential function is given as;
y = (1/6)×
when x = -2, the value of y is calculated as;
y = (1/6)⁻² = 36
when x = -1, the value of y is calculated as;
y = (1/6)⁻¹ = 6
when x = 2, the value of y is calculated as;
y = (1/6)² = 1/36
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Evaluate each indefinite integral. SHOW STEPS
1. integrate 75x ^ 4 * cos(5x ^ 5 - 3) dx
Integral by substitution
2. integrate 3cos u du
Isolate the coefficient
3 * integrate cos u du
Evaluate the integral
4. 3sin u
Simplify and add the C
= 3sin(5x ^ 5 - 3) + C
Answer
3sin(5x ^ 5 - 3) + C
hope this will help u
please mark me as a brainliest
Answer:
\(3sin(5x^{5} -3) + C\)
Step-by-step explanation:
\(\frac{d}{dx}[sin (ax^{n}+b)] = [anx^{n-1}cos(ax^{n} + b)]\)
a and b are constants
∴\(\frac{d}{dy} sin(5x^{5} -3) = [(5)(5)x^{5-1}-0] cos(5x^{5} -3)\)
= \(25x^{4} cos(5x^{5} -3)\)
\(\int\ {75x^{4}cos(5x^{5} -3)} \, dx\)
Rewriting the above by applying algebraic manipulation:
\(\int\ (3)(25){x^{4}cos(5x^{4} -3)} \, dx\)
=\(3[\int\ 25{x^{4}cos(5x^{5} -3)} \, dx]\)
= \(3sin(5x^{5} - 3) + C\)
C is a constant, which is added to the above integration because there are no limits set. In other words, this is an indefinite integral.
What is the area of the triangle whose vertical are (-4,0), (-10,0) and (-7,-6)?
Step-by-step explanation:
from the point -10 to -4 thre is a difference of 6 uints . Base 6
from the x-axis to furthest point,
there is a difference of 6 units. Height 6
9. CONSTRUCT AN ARGUMENT Determine
if the following statement is true or false.
Construct an argument to defend your
response.
Proportions can only be used to solve
problems where the smaller values are
known and a larger value is unknown.
Answer:
Step-by-step explanation:
The correct answer is true. If you know that the relationship between quantities is proportional, you can use proportions to find missing quantities.
Perform the following mathematical operation, and report the answer to the appropriate number of significant figures.
1204.2 + 4.72613 = [?]
The answer is not 1208.92613 / 1200
Answer:
1,208.92613
Step-by-step explanation:
this is the answer
Simplify;
l
81
-5/4
!
256
Answer:
It's simple
Step-by-step explanation:
See what I did there? Simple?
Celine is 6 years younger than her sister Cindy. She is also one third as old as Cindy.
Select two equations of a system that can be solved to find both ages.
a. 3x-6y=0
b. 3x-y=0
c. y-x=6
d. x-y=6
The two equations of a system that can be used to find the ages of both girls are y - x = 6 and 3x - y = 0.
What is system of equations?A group of two or more equations that must be solved all at once is known as a system of equations. The objective is to determine the values of the variables that make both equations true in a system of two equations with two variables. These numbers represent the system of equations' answer. There are several ways to solve a system of equations, including substitution, elimination, and graphing. They are used to simulate and resolve issues in many branches of mathematics, science, engineering, and other disciplines.
Let us suppose the age of Celine = x.
Let us suppose the age of Cindy = y.
Given that, Celine is 6 years younger than her sister Cindy.
x = y - 6
She is also one third as old as Cindy.
x = 1/3y or y = 3x.
Substitute the value of y in equation 1:
x = 3x - 6
6 = 2x
x = 3
Substitute the value of x:
y = 3(3) = 9
Hence, the two equations that can be used to find the ages of both girls are y - x = 6 and 3x - y = 0.
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672,829
Word Form
Expanded Form
Unit Form
Answer and Step-by-step explanation:
The Word form is:
Six hundred, seventy-two thousand, eight hundred and twenty nine.
The Expanded form is:
600,000 + 70,000 + 2,000 + 800 + 20 + 9
The Unit form is:
6 one hundred thousands, 7 ten thousands, 2 thousands, 8 hundreds, 2 tens and 9 ones.
#teamtrees #PAW (Plant And Water)
Pls help 10 ptsssssssssssss
NO LINKS
Answer:
the answer is 16
Step-by-step explanation:
8/2=4
4*4=16
rewrite 6 hours : 1 day in the form 1:n
1day is equal to 6hours .
\(\\ \tt\longmapsto 6h:1d\)
\(\\ \tt\longmapsto 6h:24h\)
\(\\ \tt\longmapsto 3h:12h\)
\(\\ \tt\longmapsto 1:4\)
Answer:
1 : 4
Step-by-step explanation:
→ Convert 1 day to hours
24
→ Put this in the original ratio
6 hours : 24 hours
→ Divide both sides by 6
1 hour : 4 hours
Austin made 5 quarts of his special from-scratch cupcake mix. He was able to make 32 identical cupcakes using 3.5 quarts of his special mix. Austin would like to bake 20 more identical cupcakes to ice each cupcake in the likeness of a playing-card. Does he have enough left to create 20 additional cupcakes? Explain.
9514 1404 393
Answer:
no
Step-by-step explanation:
We can write a proportion to find how much mix is required to make 52 cupcakes.
quarts/cupcakes = 3.5/32 = x/52
Multiplying by 52, we find ...
x = 52(3.5/32) = 5.6875 . . . quarts needed for 52 cupcakes
This is more mix than Austin made. He does not have enough left for 20 more cupcakes.
Victoria is paid a salary of $550 a week at her job. She worked 5 hr of overtime during the holidays, and her weekly paycheck came to $690. What is her overtime pay per hour?
Answer:
$28 per hour
Step-by-step explanation:
Let's first find out how much extra Victoria was paid during the week she worked overtime.
Without overtime, Victoria's weekly paycheck would be $550. However, she received $690 that week. The difference between the two amounts is the extra pay for overtime:
Extra pay = Total pay - Regular pay = $690 - $550 = $140
Now, we know that Victoria worked 5 hours of overtime. To find her overtime pay per hour, we can divide the total overtime pay by the number of overtime hours:
Overtime pay per hour = Total overtime pay / Overtime hours = $140 / 5 = $28
Victoria's overtime pay is $28 per hour.
Hope this helps!
Answer:
Victoria is paid $28 per hour of overtime.
Step-by-step explanation:
Get the difference of Victoria's paycheck with and without overtime.
Difference = $690 - $550
Difference = $140
The difference is the amount that she was paid for the overtime.
Since she worked for 5 hours then we can just divide the amount over the time.
Rate = $140/5hours
Rate = $28/hr
Can you help me find this answer
Answer:
4
Choice D
Step-by-step explanation:
\(\mathrm{Periodicity\:of\:}a\cdot \cos \left(bx\:+\:c\right)\:+\:d=\dfrac{\mathrm{periodicity\:of}\:\cos \left(x\right)}{|b|}\)
\(\mathrm{Periodicity\:of\:}\cos \left(x\right)\:\mathrm{is}\:2\pi\)
The distance around a figure is called _____
The distance around a figure is the perimeter, although around a circle is the perimeter is actually called the circumference.
Answer:
PerimeterStep-by-step explanation:
find the value of x then find the measure of both angles
According to the given graph, the angles are linear pairs because they are on a straight angle, so the must sum 180°. Having said that, we express the following.-
\((4x+20)+(x-10)=180\)We reduce like terms
\(5x+10=180\)Then, we subtract 10 on each side.
\(\begin{gathered} 5x+10-10=180-10 \\ 5x=170 \end{gathered}\)At last, we divide the equation by 5.
\(\begin{gathered} \frac{5x}{5}=\frac{170}{5} \\ x=34 \end{gathered}\)We use this value to find the angles.
\(\begin{gathered} 4x+20=4(34)+20=136+20=156 \\ x-10=34-10=24 \end{gathered}\)Therefore, x is equal to 34, and the angles are 156° and 24°..
Five more than the product of a number and 8 equals 9.
Use the variable b for the unknown number.
The unknown number, represented by the variable b, is 1/2, which satisfies the equation "Five more than the product of a number and 8 equals 9."
To solve the equation "Five more than the product of a number and 8 equals 9" using the variable b for the unknown number, we can express this statement as an equation:
8b + 5 = 9
To solve for b, we need to isolate the variable on one side of the equation. Let's simplify the equation step by step:
Subtract 5 from both sides to get rid of the constant term:
8b + 5 - 5 = 9 - 5
8b = 4
Divide both sides of the equation by 8 to solve for b:
8b/8 = 4/8
b = 1/2
Therefore, the solution to the equation is b = 1/2. This means that when we substitute b = 1/2 into the equation, the equation will hold true:
8(1/2) + 5 = 9
4 + 5 = 9
Both sides of the equation are equal, confirming that b = 1/2 is the solution.
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Given A = {10, 11, 12, 13}, B = {10, 12, 14, 16}, and C = {7, 8, 9, 10, 11}, find
A ∪ B
A ∩ B
A ∪ C
A ∩ C
B ∪ C
B ∩ C
The (A ∪ B) ∩ (A ∪ C) ∩ (B ∪ C) ∩ (B ∩ C) ∩ C is an empty set {}.To find the sets A ∪ B, A ∩ B, A ∪ C, A ∩ C, B ∪ C, and B ∩ C, we can perform the following operations:
A ∪ B: The union of sets A and B includes all unique elements from both sets, resulting in {10, 11, 12, 13, 14, 16}.
A ∩ B: The intersection of sets A and B includes only the common elements between the two sets, which are {10, 12}.
A ∪ C: The union of sets A and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 13}.
A ∩ C: The intersection of sets A and C includes only the common elements, which is {10, 11}.
B ∪ C: The union of sets B and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 14, 16}.
B ∩ C: The intersection of sets B and C includes only the common elements, which is an empty set {} since there are no common elements.
Finally, performing the remaining operations:
(A ∪ B) ∩ (A ∪ C): This is the intersection of the union of sets A and B with the union of sets A and C. The result is {10, 11, 12, 13} since these elements are common to both unions.
(B ∪ C) ∩ (B ∩ C): This is the intersection of the union of sets B and C with the intersection of sets B and C. Since the intersection of B and C is an empty set {}, the result is also an empty set {}.
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