Answer:
a(n) = 48*(1/4)^(n - 1)
Step-by-step explanation:
Here the first term, a(1), is 48 and the common ratio is r = 1/4.
Thus, the specific formula for the information given is
a(n) = 48*(1/4)^(n - 1)
The parent function of a quadratic equation is vertically stretched by a factor of 2, then translated 4 units left and one unit down
Answer:
[tex]f"'(x) = 2(x-4)^2 - 1[/tex]
Step-by-step explanation:
Given
[tex]f(x) = x^2[/tex] --- the quadratic function
Vertically stretched by 2
Translation: [tex]4\ units[/tex] left and [tex]1\ unit[/tex] down
Required
Determine the new function
[tex]f(x) = x^2[/tex]
The rule for vertical stretch is:
[tex](x,y) \to (x,ay)[/tex]
In this case:
[tex]a = 2[/tex]
So, we have:
[tex]f(x) = x^2[/tex]
[tex]f'(x) = a * f(x)[/tex]
[tex]f'(x) = a * x^2[/tex]
Substitute: [tex]a = 2[/tex]
[tex]f'(x) = 2 * x^2[/tex]
[tex]f'(x) =2x^2[/tex]
Translation: 4 units left
The rule is:
[tex](x,y) \to (x - c,y)[/tex]
In this case: [tex]c =4[/tex]
So, we have:
[tex]f"(x) = 2(x - 4)^2[/tex]
Translation: 1 unit down
The rule is:
[tex](x,y) \to (x,y-d)[/tex]
In this case, [tex]d=1[/tex]
So, we have:
[tex]f"'(x) = f"(x) - 1[/tex]
[tex]f"'(x) = 2(x-4)^2 - 1[/tex]
find the equation to the line below acellus y= HELPPP
Answer:
(5,3) and (0,-1)
Gradient,m =3-(-1)/5-0
m=4/5
y=mx+C
y-3=4/5 (x-5)
y=4x/5-4+3
y=4x/5 -1
Find the height of the pyramid.
Volume
Answer:
5
Step-by-step explanation:
like my answer please...
7 students drew were 6, 4, 5, 7, and 8. What is the mean height of the triangles?
Answer:6
Step-by-step explanation: for mean you add up the heights and divide it by the amount of numbers there are
HELP URGENT PROBLEM IS IN THE PICTURE || SHOW YOUR WORK PLS ILL ADWQARD BRAINLEST
Answer:
19.550
Step-by-step explanation:
Sorry if I am wrong.....
consider the function below
f(x) = x^2 - 6x + 5
plot the x-intercept(s), y-intercept,vertex, and axis of symmetry for the function. please i need a answer
X-intercept (5,0),(1,0)
Y-intercept (0,5)
Vertex (3,-4)
Axis of Symmetry x=3
A small car has a tire with a 13-inch diameter. A truck has a tire with a 29-inch diameter. How much farther than the car does the truck have to drive for its tire to complete one revolution?
Answer:
50.27in
Step-by-step explanation:
Given data
Diameter of small tire= 13in
Radius= 13/2= 6.5in
Circumference= 2πr
C= 2*3.142*6.5
C= 40.85 in
Diameter of Big tire= 29in
Radius= 29/2= 14.5in
Circumference= 2πr
C= 2*3.142*14.5
C= 91.118in
Hence the difference in distance between the two tires after on revolution is
=91.118-40.85
=50.27in
Baking Brownies
A brownie recipe needs one cup of sugar for every 1⁄2 cup of flour to make a batch of cookies. To make multiple batches, we represent the relationship between flour and sugar with the function f = 1⁄2 s where f is the number of cups of flour and s the number of cups of sugar. What graph represents this relationship?
Answer:
A
Step-by-step explanation:
A because it is the only one the recipe calls for 1 cup of sugar and 1/2 cup of flour, the point is in the middle but also on one.
what is 4 3/4 + 6 4/5
Answer:
[tex]11 \frac{11}{20}[/tex]
Step-by-step explanation:
Answer:
11.55
Step-by-step explanation:
WILL GIVE BRAINLIEST!!!
Michelle weighs 90 pounds, which is 120% of what she weighed two years ago. How much did she weigh two years ago?
A) 108 pounds
B) 75 pounds
C) 175 pounds
D) 88 pounds
B. Michelle weighed 75 pounds two years ago
If 5x-3=3x+5, what is the value of 2X-8? 5
Answer:
5x-3=3x+5
5x-3x=5+3
2x=8
x=8/2
x=4
Therefore,
Value of 2x-8
Substitute the value of x
2(4)-8
8-8=0
If you are helped with my answer pls tag me brianliest
I really want it
Plss
THANK you.....
Cynthia wants to buy a round magnetic photo frame for her locker. The radius of the frame is 9cm. What is the circumference of the frame in terms of π (pi) .
Answer:
18cm
Step-by-step explanation:
What’s the answer?
Needed now
A XYZ is an equilateral triangle.
X
2
3
Z
Y
What is the measure of Z 2?
HURRY AND NO LINKS
Answer:
The value of the angle is 60 degrees
Step-by-step explanation:
Here, we want to find the value of the angle marked 2
From the question, we can see that we have three marked interior angles
These are the angles 1, 2 and 3
Mathematically, the interior angles of an equilateral triangle are equal
This means that each of the interior angle of an equilateral triangle measures 60 degrees
Hence, this means that the value of the angle marked 2 is 60 degrees
What is the Y-intercept of the line shown above
Approximately 3 x 10° people live in the USA.
In the world of 100 people, how many would live in the USA?
Answer:
Step-by-step explanation:
Divide the US population by the world population:
328,200,000/7,674,000,000 = 0.0428
Multiply 0.0428 with 100:
0.0428 x 100 = 4.28
Approximately 4 out of 100 people in the world would live in the USA.
Find the value of x.
When given the picture using what you know find the answer. What is m
Answer:
40 degrees
Step-by-step explanation:
Answer:
Angle E = 25 deg because of reflective
Angle C = 115 degree because 180 - 65
Since triangle = 180 deg
Angle D = 180 - 115 - 25
= 40 deg
Step-by-step explanation:
The circumference of a circle is 20.724 yards. What is the circle's diameter?
Answer:
approximately 6.6 yards :)
Step-by-step explanation:
Answer:
6.6
Step-by-step explanation:
take pi as 3.14
formula for circumfurence is 2*pi*r
so 2r=20.724/pi
2r=6.6
since diameter is 2 radius, the diameter is 6.6
can you help me with this
Answer:
p(x - 4) = x³ - 12x² + 48x - 69
Step-by-step explanation:
To evaluate p(x - 4), substitute a = x - 4 into p(a), that is
p(x - 4) = (x - 4)³ - 5
= (x - 4)(x - 4)(x - 4) - 5 ← expand 2nd/ 3rd factors using FOIL
= (x - 4)(x² - 8x + 16) - 5 ← distribute parenthesis
= x³ - 8x² + 16x - 4x² + 32x - 64 - 5 ← collect like terms
= x³ - 12x² + 48x - 69
Describe the relationship between complex and real numbers. Include a
comparison between algebraic and complex arithmetic operations (addition,
subtraction, multiplication, and division).
Answer:
Complex numbers often use the letter i (that is, they often have imaginary elements) while real numbers don't have any imaginary elements. Below are some examples:
Step-by-step explanation:
1+2i is an example of a complex number.
3a - 4b is an example of a real number.
x2-3x-2=0 by Formula method
Answer:
Answer with steps........
I know the answer is 825 but what is the constant of proportionality??
Answer:
The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.
Step-by-step explanation:
Practice Triangle Ratios (Sides) Find the value of c. Round to the nearest tenth!
Answer:
30.67
Step-by-step explanation:
Given the following
Opposite side = x
Adjacent = 17
Angle = 61degrees
Using the SOH CAH TOA identity
tan theta = opp/adj
tan 61 = x/17
x = 17tan61
x = 17(1.8040)
x = 30.67
Hence the value of x is 30.67
Estelle tried to evaluate the expression 27 - (8 - 3) x 4. Here is her work:
27 - (8 - 3) x 4
= 27 - 5 x4
Step 1
= 22 x 4
Step 2
= 88
Step 3
Is Estelle's work correct?
No, Estelle made a mistake in Step 1. Estelle should have multiplied instead of
subtracting. The order of operations says to multiply before you subtract.
No, Estelle made a mistake in Step 2. Estelle should have multiplied before
she subtracted. The order of operations says to multiply before you subtract.
Yes, Estelle's work is correct.
Answer:
No, Estelle made a mistake in step 2
Step-by-step explanation:
2. Is she right or wrong? Explain. If she is wrong, tell how much carpet she needs. (
Michele is buying carpet for a room with the dimensions shown. 10 ft 8 ft 12 ft 4 ft 15 ft Michele calculates that the area she will cover with carpet is 180 square feet.
Answer:
She is wrong. She needs 140 square feet.
Explanation:
(8×10)+(4×15) = 140
Someone plz help!! Plz read the question
Answer:
preferred
ability
extraordinary
parading
playing
squeaky clean
occasion
immediately
if your not good with percentages, i suggest you should go...
25% of ______ is 15
70% of 30 is ______
What % is 15 of 50?
15% of ______ is 6
40% of 30 is _____
LAST ONE!!!
What % is 40 of 50?
BONUS! (I'm good at these so its oppional)
3 / 1 1/6 =
Does anyone know what is the measure for these need help on this
help help help help
Answer:
15π cubic units
Step-by-step explanation:
the formula for the volume of a cone is:
V = (base area x height) / 3
In this case we have
(5π x 9)/3 = 15π cubic units
Answer:
235.5 Cubic Units
Step-by-step explanation:
V=1/3B*H
=1/3(π5^2)9
=1/3(3.14*25)9
=3(3.14*25)
=75*3.14=235.5 Cubic Units