The gecko is about 10⁵ times bigger than the mite in length.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
1 cm = 10 ml
The dust mite measures 10⁻³ ml. The gecko measures 10 cm
Length of gecko = 10 cm = 10 cm * 10 ml per cm = 100 ml
Magnitude of gecko to mite = 100 ml / 10⁻³ ml = 10⁵
The gecko is about 10⁵ times bigger than the mite in length.
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Answer:
it is 5
Step-by-step explanation:
What is the area of this trapezoid?
Answer:
(b1+b2)h divided by 2 is the formula for a trapezoid
Step-by-step explanation:
ANSWER: 468 ft (squared?)
Please help!
what polynomial must be added to
−5x^3 + 4x − 3 so that the sum is x^2 − x − 1?
Let the number to be added be A
Now,
[tex]\begin{gathered}\implies\quad \sf −5x^3 + 4x − 3 + A = x^2 − x − 1 \\\end{gathered} [/tex]
Transposing (−5x³+ 4x − 3 ) to other side-
[tex]\begin{gathered}\\\implies\quad \sf A = x^2 − x − 1 -( −5x^3 + 4x − 3) \\\end{gathered} [/tex]
Remember if there is a -ve sign before a bracket the signs of whole of the terms changes on opening bracket
[tex]\begin{gathered}\\\implies\quad \sf A = x^2 − x − 1 + 5x^3 - 4x + 3\\\end{gathered} [/tex]
Putting like terms together -
[tex]\begin{gathered}\\\implies\quad \sf A = 5x^3 +x^2 - x -4x +3 -1 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf A = 5x^3 +x^2 -5x +2 \\\end{gathered} [/tex]
[tex]\longrightarrow[/tex]Therefore, 5x³+x²-5x +2 should be added to −5x³+ 4x − 3 to get x²− x − 1
what is the measurement of DA (parallelogram)
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Which graph shows the line of best fit for the data ?
AC, DF and YZ are straight lines and all angles are in degrees.
By first considering the angles
on line ABC, show that AC is
parallel to DF.
Answer:
ac is parallel to df because it doesn't intersect with each other
Find the area of the shaded region. Round to the nearest tenth where necessary (1 decimal places).
A=
14 in
8 in
5 in
25 in
Answer:
5 in
Step-by-step explanation:
The area of a composite shape: area of the bigger shape - the area of the smaller shape.
In this case, the bigger shape is the shaded region, and the smaller shape is the unshaded region.
1) Shaded region (bigger shape): 2(area of a trapezium) + area of the rectangle.
Area of a trapezium: 1/2 x (a + b) x h, where a and b are parallel lines and h is the height. We have to times the answer by 2 because there are two trapeziums in the shaded region.
Area of a rectangle: l x w, where l is the length and w is the width.
Trapeziums
= 1/2 x (3 + 8) x 5.5 x 2
= 1/2 x 11 x 5.5 x 2
= 1/2 x 60.5 x 2
= 30.25 x 2
= 60.5
Rectangle
= 14 x 3
= 42
Area of the shaded region (bigger shape): trapezium + rectangle
= 60.5 + 42
= 102.5
2) Unshaded region (smaller shape):
Area of a trapezium: 1/2 x (a + b) x h, where a and be are the parallel lines.
= 1/2 x (14 + 25) x 5
= 1/2 x 39 x 5
= 1/2 x 195
= 97.5
3) Area of the bigger shape - the area of the smaller shape
= 102.5 - 97.5
= 5 in²
Brian is the coach of the High School basketball team in Scooterville. His starting five players (Jason, Mike, Jim, Dave, and Frank) all vary in their speed, height, and shooting ability. Use the following information to answer the question(s).
- Mike and Jim are quicker and better shooters than Jason and Dave.
- No person is the best (e. G. , tallest, quickest, best shooter) at more than one category.
- One person was the worst (eg, shortest, slowest, and worst shooter) for all three categories
- Jason is the third tallest.
- Frank is the best shooter
- Jim is the second fastest.
- Jim is a better shooter than Mike.
Which player is the tallest?
From the given information, the tallest player is: Dave.
Who is a player?In sports, a player refers to an individual who takes part in a sports. It can be in football, rugby, badminton, lawn tennis, basketball, etc.
We can see from the above that Mike and Jim are faster and quicker shooters than Jason and Dave. Jim is the second fastest which means that Mike is the fastest. Since no person is the best (e.g. , tallest, quickest, best shooter) at more than one category, it then means that Dave is the tallest.
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Please help me with this please and thank you
Answer:
Alright so the answer is B but I'll explain why because im nice ig.
Step-by-step explanation:
So lets do some calcumalations.
We'll use 1 as n and should get an output of 3 to check these formulas. Since 1 is the first term and 3 is the first term value makes sense alright.
So 9^1-1 is 0 and any number to the 0 power is 1 so that wont work.
3(4)^1-1 = 3(1); that's the answer
4^1-1 = 1, + 3 = 4 so that wont work either
I hope this helps ya have a great afternoon
*HELP ASAP I WILL GIVE U BRAINLEAST* (20 POINTS)
You have inherited $8000 from your grandfather. Knowing that you will soon be going to college you decide to invest your money into an account that has an 8% interest rate that is compounded quarterly. How much money will you have in your account after 5 years?
a) Exponential growth or decay:
b) Identify the initial amount:
c) Identify the growth/decay factor:
d) Write an exponential function to model the situation:
e) “Do” the problem:
Answer:
a) exponential growth b) 8000 c) 1.02 d) f(x) = 8000(1+.05/4)^(4)(5) e) $11887.58
Step-by-step explanation:
This situation is exponential growth because the money will be increasing over time. The initial amount is the amount invested in the beginning so in this case 8000. The growth factor is found by 1+r/n where r is the rate and n is the number of compounds per year so 1 + .08/4 where the r is expressed as a decimal and compounding quarterly means 4 times per year. The function is modeled by f(x) = P(1 +r/n)^nt. Evaluating the function gives f(x) = 8000(1 + .08/4)^(4*5).
The number of visitors p to a website in a given week over 1-year period is given by p(t)=119+(t-83)e^0.02t , where t is the week and t is greater than or equal 1 and less then or equal 52.a)over what interval of time during the 1-year period is the number of visitors decreasing?b)over what interval of time during the 1-year period is the number of visitors increasing?c)find the critical point, and interpret its meaning.
The function p(t) for the number of visitors over 1-year is an exponential function
The increasing interval is: [33,52]The decreasing interval is: [0, 33]There is no critical pointThe increasing and the decreasing intervalThe function is given as:
p(t) = 119 + (t-83)e^0.02t
Start by plotting the graph of the function p(t).
From the graph (see attachment), we have the parameters to be:
Increasing: [33,52]Decreasing: [0, 33]Critical point = NoneHence, the function has no critical point
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Can someone explain on how to find this question please?
Answer:
∠ SOU = 138°
Step-by-step explanation:
the opposite angles of a tangent kite are supplementary, sum to 180° , so
∠ SOU + ∠ STU = 180° , that is
∠ SOU + 42° = 180° ( subtract 42° from both sides )
∠ SOU = 138°
Need help math.............
Answer:
P=39
Step-by-step explanation:
8X6=48 there's already 9 so
48-9=39
so p=39
The perimeter of an equilateral triangle is p and the length of a side is s.
The formula for s is s = p = 3
Find the length of a side when the perimeter is 21 cm. = cm
Write down a formula for p in terms of s. p =
Answer:
s=7
p=3s
Step-by-step explanation:
The perimeter is the side length times 3
So the equation would be p=3s
Plug in 21 for p
21=3s
That means s=7
(True/False) In an experimental study, participants are randomly allocated (by chance, rather than by choice), to two different experimental groups. The reason for randonmization is to reduce bias.
Answer:
TRUE
Step-by-step explanation:
The volume,V, of any cube with a side length,s, can be determined using the formula V= as to the third power. what is the volume, in cubic centimeters, of a cube with a side length of 2.3 cm.
A.5.29
B.6.9
C.8.026
D.12.167
Answer:
D
Step-by-step explanation:
Volume of cube = s^3
volume = 2.3^3 = 12.167 cm^3
Urgent!!! Need help Please!!
Find the area of the triangle.
a. 620 sq. m b. 270 sq. m c. 540 sq. m d. 980 sq. m
Answer:
270 sq. m [b]
Step-by-step explanation:
So the area of a triangle is 1/2 bh (1/2 of base x height).
The base of the triangle shown is 20m. The height is 27m.
(1/2) (20)(27) = 270.
The area of this triangle is 270 sq. m (b)
Krysta's soccer practice started at 7:45 A.M. on Saturday morning. The team practiced dribbling for 15 minutes and practiced shooting for 45 minutes. Then they played a scrimmage game for 30 minutes before practice ended. What time was it when Krysta's soccer practice ended?
please help asap tysm n ily
Total time used= 15+45+30=90 mins
Initial time=7:45
final time will be 1 hr 30 mins more than initial Time
final time= 9:15 am
What is the general equation of a sine function with an amplitude of 2, a period of Pi and a horizontal shift of Pi units? y = 2 sine (2 (x minus pi)) y = 2 sine (4 (x pi)) y = sine (0. 5 (x minus pi)) y = sine (2 (x pi)).
The general equation of the sine function is [tex]\rm y= 2sin(2(x-\pi)[/tex]. The sine and cosine of an acute angle are utilized to find the angle of the triangle.
What is sin function?The sine and cosine of an angle are trigonometric functions. In the context of a right triangle, the sine and cosine of an acute angle are used to find the angle of the triangle.
The standard general equation of a sine function is given as;
[tex]\rm y= AsinB(x-C)+D[/tex]
Where A denotes the amplitude, B is the frequency, D is the vertical shift and C is the phase shift.
The given data in the problem is;
A is the amplitude= 2
B is the frequency=2
D is the vertical shift =0
C is the phase shift.=[tex]\pi[/tex]
The general equation is found as;
[tex]\rm y= 2sin(2(x-\pi)[/tex]
Hence the general equation of the sine function is [tex]\rm y= 2sin(2(x-\pi)[/tex].
To learn more about the sin function refer to the link;
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Which interval on the graph could be described as linear constant?
A
B
C
D
What is the value of s
O-1
0 0
O 1
O no solution
Answer: -1
Step-by-step explanation:
1) d= 7.4 mm
Calculate the area of the circle.
2) r=2.2 yd.
Calculate the circumference of the circle.
3) d = 5 cm
Calculate the circumference of the circle.
4) d = 6 m
Calculate the circumference of the circle.
5) r = 2.1 m
Calculate the area of the circle.
6) r=1.3 mm
Calculate the circumference of the circle.
Answer:
1. 43.01 mm²
2. 13.82yd
3. 15.71cm
4.18.85m
5. 13.85m²
6. 8.17mm²
Step-by-step explanation:
/ means divided by
* means multiplied by
radius is half of a diameter
circumference of a circle is pi multiplied by diameter
area of a circle is pi multiplied by radius squared
1. radius is 7.4 divided by 2 which is 3.7
radius of 3.7 squared is 13.69
pi multiplied by 13.69 is 43.01
2. diameter is radius times 2
2.2 times 2 is 4.4
ℼ * 4.4 = 13.82
3. pi*5=15.71
4. pi*6=18.85
5. 2.1*2.1 = 4.41 -> pi*4.41 = 13.85
6. 1.3*2= 2.6 -> pi*2.6=8.17
Please help me with this equation, add process too. Thanks
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]
Let's solve ~ ☂
[tex]\qquad \sf \dashrightarrow \: - 0.6(m + 1) = 3[/tex]
[tex]\qquad \sf \dashrightarrow \: - (m + 1) = 3 \div 0.6[/tex]
[tex]\qquad \sf \dashrightarrow \: - (m + 1) = 5[/tex]
[tex]\qquad \sf \dashrightarrow \: - m - 1= 5[/tex]
[tex]\qquad \sf \dashrightarrow \: - m = 5 + 1[/tex]
[tex]\qquad \sf \dashrightarrow \: - m = 6[/tex]
[tex]\qquad \sf \dashrightarrow \: m = - 6[/tex]
I hope it helps ~
The diagram shows a plan for the rectangular house with an attached porch. The combined area of the house and the porch is 733ft2. What is the value of x? Show your work. The numbers are 59ft, 13ft, 6 ft, 7ft, 9ft is the porch, x ft
The value of x in the diagram is 8 feet that makes the combined area of the house and the porch to be 733 ft²
How to calculate area?
Combined area = big rectangle + smaller rectangle - triangle
Hence:
733 = (13 * (59 - x)) + (x * 9) - 0.5(9 - 7) * (x - 6)
733 = 767 - 13x + 9x - x + 6
x = 8 feet
The value of x in the diagram is 8 feet that makes the combined area of the house and the porch to be 733 ft²
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Five widgets and three gadgets cost $109. 90.
One widget and four gadgets cost $75. 70.
How much does one gadget cost?
Answer:
one gadget costs $15.80
Step-by-step explanation:
Let w = cost of one widget
Let g = cost of one gadget
Given:
Five widgets and three gadgets cost $109. 90⇒ 5w + 3g = 109.9
Given:
One widget and four gadgets cost $75. 70⇒ w + 4g = 75.7
Rewrite w + 4g = 75.7 to make w the subject:
⇒ w = 75.7 - 4g
Substitute into 5w + 3g = 109.9 and solve for g:
⇒ 5(75.7 - 4g) + 3g = 109.9
⇒ 378.5 - 20g + 3g = 109.9
⇒ 378.5 - 109.9 = 20g - 3g
⇒ 268.6 = 17g
⇒ g = 15.8
Therefore, one gadget costs $15.80
To find the cost of one widget, substitute the found value for g into
w = 75.7 - 4g and solve for w:
⇒ w = 75.7 - 4(15.8)
⇒ w = 75.7 - 63.2
⇒ w = 12.5
Therefore, one widget costs $12.50
Given a+b=7 and a-b=3, find the following
3^a÷3^b
Answer:
27
Step-by-step explanation:
a + b = 7
a - b = 3
2a = 10
a = 5
b = 7 - 5
b = 2
3⁵ / 3² = 3³ using law of indices
3³ = 27.
Answer:
27
Step-by-step explanation:
a + b = 7
a - b = 3
2a = 10
a = 5
b = 7 - 5
b = 2
3⁵ / 3² = 3³ using law of indices
3³ = 27
Which shapes have two pairs of parallel sides
Answer:
a rhombus would have 2 pairs of parallel sides, or a parallelogram. (First image is parallelogram and second is rhombus)
If the circumference of a circle is 15 pie inches, then what is its diameter
Answer:
diameter is half the value of circumference 15/2 =7.5 diameter
What is the product of (7 x 10^-5) x (5 x 10^-8)
(7 x 10^-5) x (5 x 10^-8) = ? x 10^?
Answer:
[tex]3.5\times10^-^1^2[/tex]
Step-by-step explanation:
[tex](7 \times 10^-5) \times (5 \times 10^-8)[/tex]
Evaluate
[tex](7 \times 5)\times(10^-^5\times10^-^8)[/tex]
[tex]35\times10^-^5^-^8[/tex]
[tex]35\times10^-^1^3[/tex]
[tex]35\times10^1\times10^-^1^3[/tex]
[tex]3.5\times10^1^-^1^3[/tex]
[tex]3.5\times10^-^1^2[/tex]
Thus, the answer is [tex]3.5\times10^-^1^2[/tex]
~Lenvy~
on a blueprint, the height of a door is 0.4cm. the actual height of the door is 2m. What is the scale on the blueprint?
Step-by-step explanation:
2 m corresponds to 0.4 cm on a blueprint.
so,
2 m / 0.4 cm = 200 cm / 0.4 cm
our fun the point of view of the blueprint
0.4 cm / 200 cm
the scale on a map or blueprint is usually normed to one unit on the blueprint :
0.4/200 × f/f = 1/(200×f)
0.4 × f = 1
f = 1/0.4 = 2.5
so, our scale is
(0.4 × 2.5) / (200 × 2.5) = 1 / 500
that means 1 cm on the blueprint corresponds to 500 cm or 5 m in reality.
which of these numbers is a solution of the inequality 3x>18?
Answer:
x>6
Step-by-step explanation:
3x>18
x>6
Any number over 6 can satisfy this inequality.