Answers
Answer:
0.28 represents the growth factor
Step-by-step explanation:
Given
\(f(x) = 5719(0.28)^x\)
Required
What does 0.28 represents
In a function:
\(y = ab^x\)
b represents the growth factor.
By comparison:
\(b = 0.28\)
So, this implies that: 0.28 represents the growth factor
Related Questions
21. Chandra is retiling her bathroom floor. Each tile is in the shape of a
square, and is 6.5 inches long. How many square inches does one tile
cover? *
WILL MARK AS BRAINLIEST
Answers
Answer:
42.25 square inches
Step-by-step explanation:
the formula for area of a square is length x width
a square has four equal sides
so the length and width of the square are 6.5
so you would multiply 6.5 by itself: 6.5x6.5=42.25
so the tile overs 42.25 sq inch
tan(x-1) ( sin2x-2cos2x) = 2(1-2sinxcosx)
Answers
The equation is proved.
G\(`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`\)
We need to prove the given equation. Solution: Using the identity \(`sin2x=2sinxcosx` and `cos2x=1-2sin^2x`\)
in the given equation, we get
\(`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`⟹ `tan(x-1)(2sinxcosx-2(1-\)
\(2sin^2x))=2(1-2sinxcosx)`⟹ `tan(x-1)(4sin^2x-2)=2-4sinxcosx`⟹ `2sin(x-1)\)
\((2sin^2x-1)=2(1-2sinxcosx)`⟹ `2sin(x-1)(2sin^2x-1)=2(1-2sinxcosx)`⟹\)
\(`2sinxcos(x-1)(4sin^2x-2)=2(1-2sinxcosx)`⟹ `2sinxcos(x-1)(2sin^2x-1)=1-\)
\(sinxcosx`⟹ `2sinxcos(x-1)(2sin^2x-1)=sin^2x+cos^2x-sinxcosx`⟹\)
`\(2sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2/2`\)
For `LHS`, using identity
\(`sin(90 - x) = cosx`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-sin(91-x))^2/2`⟹\)
\(`sinxcos(x-1)(2sin^2x-1)=(-sin(x-1))^2/2`⟹ `sinxcos(x-1)(2sin^2x-1)=sin^2(x-\)
\(1)/2`⟹ `sinxcos(x-1)(4sin^2x-2)=sin^2(x-1)`⟹ `sinxcos(x-1)(2sin^2x-1)=1/2`⟹ `1/2=1/2`.\)
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Identify the proof to show that △ABD≅△CBD
, where ∠BDA≅∠BDC
are right angles, D
is the midpoint of AC¯¯¯¯¯
, AB¯¯¯¯¯≅BC¯¯¯¯¯
, and BD¯¯¯¯¯
bisects ∠B
.
The figure shows two triangles A B D and C B D with a common side B D. Points A, D, C lie on one line.
Answers
We have proven that △ABD ≅ △CBD based on the given information and the SAS congruence criterion.
To prove that △ABD ≅ △CBD, we can use the SAS (Side-Angle-Side) congruence criterion.
Given:
∠BDA ≅ ∠BDC (Both are right angles)
D is the midpoint of AC¯¯¯¯¯
AB¯¯¯¯¯ ≅ BC¯¯¯¯¯
BD¯¯¯¯¯ bisects ∠B
Proof:
Since D is the midpoint of AC¯¯¯¯¯, we have AD ≅ CD by the definition of a midpoint.
AB¯¯¯¯¯ ≅ BC¯¯¯¯¯ (Given)
BD¯¯¯¯¯ is a common side for both triangles.
∠BDA ≅ ∠BDC (Given)
To apply the SAS congruence criterion, we need to show that one pair of corresponding sides and the included angle are congruent in both triangles.
AD ≅ CD (Side) - This is true as D is the midpoint of AC¯¯¯¯¯.
∠BDA ≅ ∠BDC (Included Angle) - Both are right angles.
By the SAS congruence criterion, we can conclude that △ABD ≅ △CBD.
Therefore, we have proven that △ABD ≅ △CBD based on the given information and the SAS congruence criterion.
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Calculator A What is the measure of angle A? 5 cm 3 cm Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth. mZA =D B 4 cm C С. 4 1 2 3 4 O
Answers
Answer:
53.13⁰
Step-by-step explanation:
Use sine:
sinθ=opposite/hypotenuse
sin∠A=4/5
∠A=sin⁻¹(0.8)=53.13010235415≈53.13⁰
The measure of angle A is 53.13 degrees in right triangle ABC.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
The given triangle ABC is a right angled triangle
AB=3cm, BC=4cm and AC is 5cm
We have to find the ∠A
By using sine rule we find this
sin∠A = opposite side/hypotenuse
=4/5
sin∠A =0.8
Take sin⁻¹ on both sides
∠A =sin⁻¹(0.8)
= 53.13 degrees.
Hence, the measure of angle A is 53.13 degrees.
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which comparison does the ratio 20:21 represent?
Answers
Consider the following story:
Three men walk into a hotel and ask to share a room. The cost is going to be $270 for
the night. Each man puts in a $100 bill and they get 3 $10 bills in change. The bell boy
carries their luggage and they each decide to be generous and tip the bell boy their change.
The front desk realizes they miss-charged the men, so the bell boy takes a $20 bill change to
the room. The men realize that you can’t split the $20 bill evenly 3 ways so they add it onto
the tip. The bell boy is happy but then thinks to himself: ”If the room is $270 and they had
this extra $20 that’s only $290, where did the other $10 go?”
Explain what is wrong with the Bell Boy’s thoughts, and what is the correct math here.
Answers
Answer:
Step-by-step explanation:
The bell boy added $270 and $20 incorrectly. The $20 bill was something that was returned due to overcharching. On the other hand, $270 was the amount that they paid for their room. This only means that $20 should be deducted from $270 and that's the amount that they paid for their room while $30 and $20 are the amount that the bell boy received as a tip
Total money of the three men: 3($100) = $300
They paid $270 for the room: $300 - $270 = $30
Tip for the bell boy: $30 - $30 = $0
Amount overcharged to them: $0 + $20 = $20
Tip to the bell boy: $20 - $20 = $0
They were left with no more money from the original $300.
Let theta equals 11 times pi over 12 periodPart A: Determine tan θ using the sum formula. Show all necessary work in the calculation.Part B: Determine cos θ using the difference formula. Show all necessary work in the calculation.
Answers
The fisrt part is the divide your angle into two angles, could be 6/12π and 5/12π
\(\begin{gathered} A=\frac{4\pi}{12}=\frac{\pi}{3} \\ B=\frac{7\pi}{12} \end{gathered}\)For the sum formula:
\(\begin{gathered} \tan (\theta)=\tan (A+B)=\frac{\tan A+\tan B}{1-\tan A\cdot\tan B} \\ \tan (A+B)=\frac{1.73-3.73}{1-1.73\cdot(-3.73)} \\ \tan (A+B)=\frac{-2}{7.45}=-0.27 \end{gathered}\)For the difference formula:
\(\begin{gathered} A=\frac{1\pi}{12} \\ B=\pi \end{gathered}\)\(\begin{gathered} \tan (B-A)=\frac{\tan B-\tan A}{1+\tan A\cdot\tan B} \\ \tan (B-A)=\frac{0-0.268}{1+0\cdot0.267} \\ \tan (B-A)=-0.268 \end{gathered}\)Both methods work and result in the same answeer
What is the value of x in the equation −6 + x = −2? Answer A. 8 B. 3 C. -4 D. -8
someone help me
Answers
Answer:
x = 4
Step-by-step explanation:
You can solve for "x" by rearranging the equation and getting the "x" by itself on one side. Remember, whatever you do to one side of the equation, you must do to the other side.
-6 + x = -2 <----- Original equation
+6 +6 <----- Add 6 to both sides to isolate "x"
0 + x = 4 <----- After the addition
x = 4 <----- Rewrite
Answer:
None of the above (x = 4) \( \sf {} \)
Step-by-step explanation:
Now we have to,
→ find the required value of x.
The equation is,
→ -6 + x = -2
Then the value of x will be,
→ -6 + x = -2
→ x = -2 + 6
→ [ x = 4 ]
Hence, the value of x is 4.
State the solutions for the quadratic equation graphed below.
Answers
What is the lenght of AB? Plssss help meeeeee
Answers
Helllpppppp don’t get it wrong I got 2 wrong already
Answers
Pythagorean theorem
Answers
Answer:
a^2 + b^2 = c^2
Step-by-step explanation:
Answer:
a^2 + b^2 = c^2
Step-by-step explanation:
Used to find side lengths of right triangles, a and b represent sides, while c represents the hypotenuse.
Dinner costs $34.00 You also leave a 20% tip. How much did you pay
in total?
PLEASE ANSWER QUICKLY
Answers
Answer:
$40.80
Step-by-step explanation:
First, convert the 20% to an actual number that can be used in a calculation. For percent, this is always done by simply dividing the percent, in this case, 20%, by 100%. So, the conversational term "20%" becomes 20% / 100% = 0.20 in terms of a real mathematical number.
Second, you need to find out what 20% of your $34.00 meal cost is. This is always done by multiplying 0.20 by $34.00, or 0.20 x $34.00=$6.80. So, the amount of tip you are going to leave is $6.80.
This makes the total cost of your meal (to write on your charge slip or other payment)
$34.00 + $6.80 = $40.80.
Answer:
$40.80
Step-by-step explanation:
If you pay for the original cost of the dinner AND leave a 20% tip then the total amount paid will be 120% of the original cost (100% + 20% = 120%).
Convert 120% into a decimal: 120% = 120/100 = 1.2
So 120% of $34.00 = 1.2 × 34 = $40.80
Find the perimeter of the rectangle.
length: 6 1/2 in
width: 5 3/4 in
Answers
Answer: To find the perimeter of the rectangle, we add up the lengths of all four sides.
The length of the rectangle is 6 1/2 inches and the width is 5 3/4 inches.
The formula for the perimeter P of a rectangle is:
P = 2L + 2W
where L is the length and W is the width.
Substituting the values given, we have:
P = 2(6 \frac{1}{2}) + 2(5 \frac{3}{4})
= 13 + 11 \frac{1}{2}
= 24 \frac{1}{2}
Therefore, the perimeter of the rectangle is 24 1/2 inches.
Find the percent change. State whether it is an increase or decrease. Round to the nearest tenth of a percent. From 67 to 75
Answers
Answer:
Increase 11.94 %
Step-by-step explanation:
Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x) = 7x ^ 2 + 2x + 3 at x = 1
Answers
Answer:
16
Step-by-step explanation:
Step 1: Write down the function \(f(x)=7x^2+2x+3.\)
Step 2: Write down the limit definition of the derivative:
\(f'(x)= lim_{h0} \frac{f(x+h)=f(x)}{h} .\)
Step 3: Substitute the function \(f(x)\) into the limit definition:
\(f'(x)=lim_{h0} \frac{(7(x+h)^2+2(x+h)+3)-(7x^2+2x+3)}{h}.\)
Step 4: Simplify the expression inside the limit:
\(f'(x)=lim_{h0}\frac{7x^2+14xh+7h^2+2x+2h+3-7x^2-2x-3}{h} .\)
Step 5: Combine like terms:
\(f'(x)=lim_{h0} \frac{14xh+7h^2+2h}{h} .\)
Step 6: Factor out an \(h\) from the numerator:
\(f'(x)=lim_{h0} \frac{h(14x+7h+2h}{h} .\)
Step 7: Cancel out the \(h\) in the numerator and denominator:
\(f'(x)=lim_{h0}(14x+7h+2).\)
Step 8: Evaluate the limit as \(h\) approaches 0:
\(f'(x)=14x+2.\)
Step 9: Substitute \(x=1\) into the derivative:
\(f'(1)=14(1)+2=14+2=16.\)
The Slope of the tangent line to the curve \(f(x)=7x^2+2x+3\) at \(x=1\) would be \(16.\)
AB is parallel to CD.
Determine the value of X.
Answers
Step-by-step explanation:
50°+ 30° = 80° The value of x
Reason is The sum of interior angle is equal to the exterior one.
How can you add 3/10 and 2/5
Answers
Answer:
7/10
Step-by-step explanation:
steps linked below
Multiply the numerator and the denominator of 2/5 by 2, and you get 4/10.
Add 3/10 by 4/10, and you get 7/10.
Multiple Choice Carlos read a book for language arts class.
He finished the book on Friday. On Monday he read 27 pages.
On Tuesday he read 31 pages. On Wednesday he read 28 pages.
On Thursday and Friday he read the same number of pages each day.
The book has 144 pages. How many pages did he read on Thursday?
A. 28
B. 29
C. 31
D. 58
Answers
Carlos read 29 pages on Thursday.
What are equations?In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign.So Let, the pages read by Carlos on Thursday and Friday be x as on Thursday and Friday he read the same number of pages.
The equations will be: 27 + 31 + 28 + x + x = 144Now, solve the equation fr x as follows:
27 + 31 + 28 + x + x = 14486 + 2x = 1442x = 144 - 862x = 58x = 58/2x = 29So, Carlos read 29 pages on Thursday and Friday.
Therefore, Carlos read 29 pages on Thursday.
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factorize fully 6c+9x^3
Answers
Explain why a + b = d.
B
lbº
aº
dº
A
С C
Answers
Answer :
Amen w
please help
What is the distance to the earth’s horizon from point P?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
x =
mi
Answers
The measure of distance x, that is, the distance between a point P and the point of horizon, is equal to 284.372 miles.
How to find the distance to the earth horizon from a given point
In this problem we must determine the distance between a point P located about earth's circumference and the point of horizon, located on earth's circumference. Since the line between these two points is tangent to earth, then, distance x can be found by Pythagorean theorem:
x = √[(3959 mi + 10.2 mi)² - (3959 mi)²]
x = 284.372 mi
The distance x is equal to 284.372 miles.
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A rectangular football field is 64 meters wide and 100 meters long. A player runs from one corner of the
field in a diagonal line to the opposite corner.
How far did the player run?
Round your answer to the nearest meter.
Answers
(WORK SHOWN BELOW)
A 12 cm by 12 cm square piece of paper has 5 holes punched out of it. 4 of the holes are circles of radius 3 cm and 1 of the holes is a circle of radius 1 cm. The paper and punched holes can be visually interpreted as below. Determine the area of paper remaining after the holes have been punched out.
Answers
5 holes have been punched into a 12 cm by 12 cm square piece of paper. The area of remaining paper will be 27.714 cm².
Firstly, we will calculate the area of the square of paper in which the holes are punched.
Side of square = 12 cm
Area of square = side²
= (12) ²
= 144 cm²
Now, we will calculate the area of the bigger punch holes
Radius of big punch hole = 3 cm
Area of 1 big punch = π (radius) ²
= 22/7 × (3)²
22 / 7 × 9
= 198 / 7 cm²
Area of 4 punches = 4 × 198/7
= 792/7 cm²
Now, we will calculate the area of smaller punch whose radius is 1cm
Area = 22/7 × 1²
= 22/7 cm²
Now, we will calculate the total area covered by circles
Total area covered by circles = area of small punch + area of 4 big punch
= 22/7 + 792/7
= 814 /7 cm²
Remaining area = area of square - area of circles
= 144 - 814/7
= (1008 - 814) / 7
= 194 / 7
= 27.714 cm²
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Instructions: Identify the vertices of the feasible region for the given linear programming constraints.
Optimization Equation: z=−3x+5y
Constraints:
x+y≥−2
3x−y≤2
x−y≥−4
Fill in the vertices of the feasible region:
(0, )
(-3, )
(3, )
Answers
The vertices of the feasible region are (0, -2), (-3, 1) and (3, 7)
How to identify the vertices of the feasible region for the given linear programming constraints?The optimization equation is given as
z=−3x+5y
The constraints are given as:
x+y≥−2
3x−y≤2
x−y≥−4
Next, we plot the constraints on a graph and determine the points of intersections
See attachment for the graph
From the attached graph, the points of intersections are
(-3, 1), (3, 7) and (0, -2)
So, we have:
(0, -2)
(-3, 1)
(3, 7)
Hence, the vertices of the feasible region are (0, -2), (-3, 1) and (3, 7)
So, the complete parameters are:
Optimization Equation:
z=−3x+5y
Constraints:
x+y≥−2
3x−y≤2
x−y≥−4
Vertices of the feasible region
(0, -2)
(-3, 1)
(3, 7)
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16 of the 40 penguins at the Edgewood Zoo were born at the zoo.
Shade the grid to show the fraction of the penguins that were born at the zoo.
Answers
While we cannot shade the grid because it is not provided, the fraction of the penguins born at the zoo is 2/5.
What is the fraction?A fraction is a part or portion of a value or quantity.
A fraction is obtained as the quotient of the numerator divided by the denominator.
The types of fractions include:
Simple fractionsProper fractionsComplex fractionsImproper fractions.The number of penguins born at the Edgewood Zoo = 16
The total number of penguins at the Edgewood Zoo = 40
16/40 = 4/10 = 2/5 or 40%
Thus, we can conclude that 2/5 of the penguins were born at the zoo.
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Select the correct answer.
Which inequality represents all the solutions of -2(3x+6) = 4(x +7)
Answers
A body is moving in simple harmonic motion with position function
s(t)= 4 + 5 cos t
Find the body’s velocity at t= 2π/3
Answers
The velocity of the body under simple harmonic motion is equal to - 5√3 / 2. (Correct choice: B)
How to find the velocity of a body under simple harmonic motion
Simple harmonic motion is a kind of self-sustained periodic motion that observed the following formula:
y = y' + Δy · cos ωt (1)
Where:
y' - Initial positionΔy - Amplitudeω - Angular frequency.t - TimeThe equation for the velocity of the body in simple harmonic motion is found differentiating (1):
v = - ω · Δy · sin ωt (2)
If we know that ω = 1, t = 2π / 3 and Δt = 5, then the velocity of the body is:
v = - 1 · 5 · sin (2π / 3)
v = - 5 · sin (2π / 3)
v = - 5 · √3 / 2
v = - 5√3 / 2
The velocity is equal to - 5√3 / 2.
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what is the first operation used to evaluate 13-2x3+4 divided by 4+4
Answers
Answer:
multiplication
Step-by-step explanation:
The evaluation of ...
13 -2·3 +4/4 +4
starts with the multiplication, because there are no exponents or parentheses.
13 -6 +4/4 +4
Next is the division:
13 -6 +1 +4
Finally, the addition and subtraction:
7 +1 +4
8 +4
12
_____
We have assumed your x is not a variable, but is intended to indicate multiplication. We have also assumed that your "divided by" implies no particular grouping, so that the numerator is the first preceding number and only the first following number is in the denominator.
pla help me I'm dum
Answers
Answer: I think it is E
Step-by-step explanation: 20 percent in decimal is 0.2. You multiply 0.2 times the cost (14.5). Subtract that from the original cost. So 14.5-0.2(14.5)