Step-by-step explanation:
D. 7 11/12
hope this help!!!
How are the areas of the smaller squares related to the area of the biggest square? Do you notice something?
If a = the side of one small square and b = the side of the other small square and c = the side of the biggest square, then how could you write an equation using a, b, and c with exponents?
This is the Pythagorean Theorem for all Right Triangles. ____________________
Answer:
The sum of area of two smaller squares is equal to the area of bigger square
An equation using a, b, and c with exponents is [tex]c^2=a^2+b^2[/tex]
Step-by-step explanation:
Let a be the side of the smallest square , b be the side of other smaller square and c be the side of biggest square
Area of square with side a = [tex]Side^2 = a^2[/tex]
Area of square with side b = [tex]Side^2 = b^2[/tex]
Area of square with side c =[tex]Side^2 = c^2[/tex]
Refer the attached figure
In triangle ABC
[tex]\angle A = 90^{\circ}[/tex]
So, We can use Pythagoras theorem over here
AB = a = Base
AC = b = Perpendicular
BC = c = Hypotenuse
[tex]Hypotenuse^2=Perpendicular^2+Base^2\\c^2=a^2+b^2[/tex]
So, The sum of area of two smaller squares is equal to the area of bigger square
An equation using a, b, and c with exponents is [tex]c^2=a^2+b^2[/tex]
The population of fish in an aquarium can be modeled after exponential growth. If there were originally 3 fish and after 6 weeks there were 31 fish, how many fish would there be after 14 weeks?
Answer:
The population in 14 weeks is 232 fishes
Step-by-step explanation:
The equation for exponential growth is f(x) = a·(1 + r)ˣ
Where;
a = The starting population size = 3
r = The rate at which the population of grows
x = The number of periods to of change of the population
Therefore, we have;
f(6) = 31 = 3 × (1 + r)⁶
31/3 = (1 + r)⁶
㏑(31/3) = 6㏑(1 + r)
(㏑(31/3))/6 =㏑(1 + r)
1 + r = e^((㏑(31/3))/6) ≈ 1.476
1 + r ≈ 1.476
Therefore, the population in 14 weeks is given as follows;
f(14) = 3 × (1.467)¹⁴ ≈ 232.574
Given that we the information is with regard of living things, such that there are no fractions, we round down to the nearest whole number as follows;
f(14) ≈ 232
The population in 14 weeks = 232 fishes.
I NEED HELP WITH THIS ASAP. I WILL GIVE BRAINLIEST 1+1
Answer:
You kidding right!
Anyways your answee is 1+1=2
Answer:
2
Add 1 and 1, and that is 2, I don't know why, but it is.
Simple I know, and I get that this is a joke, but please don't post jokes too often, thanks very much.
Hope this helps?
extra lett shsbss s gs gs sg ss gss s a as sa an s sababsg sbs sg sbasba ssb assbs sb sbbshs s sjbjsabs poits
1+1
Answer:
1+1=2
Step-by-step explanation:
easy lol
Find the distance and midpoint between P(-6, 3) and Q(4, 9)
Answer:
use distance formula
Step-by-step explanation:
think it proves helpful for you
HELP QUICK!!
The cost of admission to an amusement park is $175 for a season pass or $35 per visit.
14. write an equation to model each situation
15. graph each equation
16. what is the break even point?
Answer:
hey so i did your questions on a sheet of paper, hope you can understand it, let me know if you cant
also, good luck with school and stay safe!! :)
Consider this power. (–4) –3 1. Apply the negative exponents rule: 1 (−4)3 2. Expand the exponent: 1 (−4)(−4)(−4) 3.Simplify: What is the value of (–4)–3? Negative StartFraction 1 Over 64 EndFraction Negative StartFraction 1 Over 12 EndFraction StartFraction 1 Over 64 EndFraction StartFraction 1 Over 12 EndFraction
Given:
The given expression is
[tex](-4)^{-3}[/tex]
To find:
The value of given expression.
Solution:
We have,
[tex](-4)^{-3}[/tex]
Applying the negative exponents rule, we get
[tex](-4)^{-3}=\dfrac{1}{(-4)^3}[/tex] [tex][\because a^{-n}=\dfrac{1}{a^n}][/tex]
Expanding the exponent, we get
[tex](-4)^{-3}=\dfrac{1}{(-4)(-4)(-4)}[/tex]
[tex](-4)^{-3}=\dfrac{1}{-64}[/tex]
[tex](-4)^{-3}=-\dfrac{1}{64}[/tex]
The value of given expression is [tex]-\dfrac{1}{64}[/tex].
Therefore, the correct option is A.
Answer:
a
Step-by-step explanation:
-1/64
A designer is adding a pendant to a jewelry collection. The shape of the pendent can be defined by the equation y = StartFraction 1 Over 20 EndFraction x squared EndFraction. If the largest dimension of the pendant is 10 cm wide, what is the greatest length? 1. 25 cm 2. 50 cm 5 cm 10 cm.
The greatest length of the considered pendent is given by: Option A: 1.25 cm
What does graph of a function represents?Suppose the considered function is [tex]y = f(x)[/tex]
Then, we will plot points as [tex](x,y) =(x,f (x))[/tex] for all values of 'x' which are in domain of the function.
For this case, the given function's graph (the graph of [tex]y = \dfrac{x^2}{20}[/tex] ) is shown below.
We're given that the largest dimension is of 10 units.
Let this be the line segment parallel to the x-axis, intersecting y-axis at [tex]y = y_0[/tex]
Now, since the curve is symmetric over (as for x or -x, we get same y), so the line segment that is parallel to x axis also intersects the graph at symmetric places. Let those points be in front of [tex]x_0[/tex] and [tex]-x_0[/tex]
For those inputs, the output is [tex]y = y_0[/tex],
Also, we have length of the line segment as of 10 units, this is the difference between those symmetric inputs.
Thus, we get two equations:
[tex]x_0 - (-x_0) = 10[/tex]
[tex]f(x_0) = y_0 = \dfrac{x_0^2}{20}[/tex]
From first one, we get:
[tex]x_0 = 10/2= 5[/tex]
Thus, we get:
[tex]f(x_0) = y_0 = \dfrac{x_0^2}{20}\\\\f(5) = y_0=\dfrac{25}{20} = 1.25[/tex]
Since the length of y_0 is the shortest distance from x-axis to that parallel line segment, this is the second dimension needed.
Thus, the greatest length of the considered pendent is given by: Option A: 1.25 cm
Learn more about functions here:
https://brainly.com/question/10166124
im givin away myy last of points here is my question anyone can answer dis even people who just want points: Charise is buying 6 packets of seeds to plant in her garden. Each packet of seeds is $2.19. Estimate her total cost by rounding. Is the estimate an underestimate or an overestimate?
$12; underestimate
$18; underestimate
$12; overestimate
$18; overestimate
Answer:
It would be $12 overestimate
Step-by-step explanation:
$2.19 rounded to one significant figure would be $2.00
$2.00 multiplied by 6 would be $12
However since 19 cents is over $2, this means it's a definite overestimate
Hope this helps! :)
1. Write the following in exponential form and as a multiplication sentence using only 10 as a factor
(e.g., 100 = 102= 10 x 10).
a. 1,000
b. 100 x 100
2. Write the following in standard form (e.g., 4 x 102 = 400).
a. 3 x 102=
C.
800 - 103 =
I
b. 2.16 x 104 =
d. 754.2 - 102 =
Answer:
1. a. 1,000 = 10³ = 10 × 10 × 10
b. 100 × 100 = 10² × 10² = 10 × 10 × 10 × 10
2. a. 3 × 10² = 300
b. 2.16 × 10⁴ = 21,600
c. 800 ÷ 10³ = 0.8
d. 754.2 ÷ 10² = 7.542
Step-by-step explanation:
3. a. 1,000
There are 3 zeros in 1000. This is equivalent to 10 raised to the power of 3. Writing this in multiplication sentence using 19 as the only factor, we would have:
1,000 = 10³ = 10 × 10 × 10
b. 100 × 100
Using the same logic as explained in (a) above, we would have:
100 × 100 = 10² × 10² = 10 × 10 × 10 × 10
2. a. 3 × 10²
Convert 10² to 100 and multiply both numbers
3 × 10² = 3 × 10 × 10 = 3 × 100 = 300
b. 2.16 × 10⁴
2.16 × 10 × 10 × 10 × 10 = 2.16 × 10,000
Multiplying both numbers, since we have 4 zeros, move the decimal point 4 places to the right.
2.16 × 10,000 = 21,600
c. 800 ÷ 10³ = 800 ÷ 10 × 10 × 10
800 ÷ 1,000
There are 3 zeros in 1000, since we are dividing, move the decimal point 3 places to the left.
800 ÷ 1,000 = 0.8
d. 754.2 ÷ 10² = 754.2 ÷ 10 × 10
754.2 ÷ 100
Move the decimal point 2 places to the left.
754.2 ÷ 100 = 7.542
A fair dice is rolled.
Work out the probability of getting a 3.
Give your answer as a fraction in its simplest form.
Select the correct answer.
Triangle XYZ has an altitude of h. Jayden proves the area of AXYZ using trigonometry. His work is shown.
Z
h
b
a
х
у
The area of AXYZ is žyh
by the definition of the area of a triangle. Using the sine ratio, sin(x) = . Also, asin(x) = h is true by the
multiplication property of equality. So, by the substitution property of equality, the area of AXYZ is 2xysin(x).
Where did Jayden make his first error in the proof?
The first error Jayden made in teh proof is: D. the sine ratio, sin(X) = h/x is incorrect, its should be sin(Z) = h/x.
What is the Sine Ratio?Whn solving a right triangle, the sine ratio can be used which is expressed as, sin ∅ = opposite side/hypotenuse, given that ∅ is the refrence angle.
In the proof of Jayden, the area of the triangle is correct, which is 1/2(base × height).
However, the sine ratio is wrong.
Therefore, the first error Jayden made in teh proof is: D. the sine ratio, sin(X) = h/x is incorrect, its should be sin(Z) = h/x.
Learn more about the sine ratio on:
https://brainly.com/question/2920412
Answer:
Step-by-step explanation:
The first error Jayden made in teh proof is: D. the sine ratio, sin(X) = h/x is incorrect, its should be sin(Z) = h/x.
What is the Sine Ratio?
Whn solving a right triangle, the sine ratio can be used which is expressed as, sin ∅ = opposite side/hypotenuse, given that ∅ is the refrence angle.
In the proof of Jayden, the area of the triangle is correct, which is 1/2(base × height).
However, the sine ratio is wrong.
Therefore, the first error Jayden made in teh proof is: D. the sine ratio, sin(X) = h/x is incorrect, its should be sin(Z) = h/x.
Learn more about the sine ratio on:
brainly.com/question/2920412
What is the slope of a line that passes through the points (4, 2) and (7,6.5)?
Answer:
1.5
Step-by-step explanation:
Answer:
1.5 or 3/2
Step-by-step explanation:
y-y over x-x and you get you answer.
An experiment involves rolling a standard die. The experiment was performed 100 times, and the results are shown in the following frequency table. Result Frequency 1 14 2 19 3 16 4 16 5 17 6 18 What is the experimental probability of rolling a 1?
Step-by-step explanation:
first a quick check that we really deal with 100 events (experiment results).
14+19+16+16+17+18 = 100
perfect.
so, based on this particular die its own probabilty distribution of the 6 different possible outcomes shows that there might be some imbalances inside the die, or its outside dimensions are not exactly the same, or simply the process of rolling the die is not neutral (not fully random).
in any case, it seems there are some deviations from the normal expected behavior of 1/6 per number.
so, the observed experimental probabilty of rolling a 1 is
(as always, desired cases / total cases)
14/100 = 7/50 = 0.14
which is a little bit less then 1/7.
Find m1 and m2. Justify each answer
Answer:
Number 1 will be 95
Number 2 will be 130
Am I right
Chris and Kate’s dinner bill, including a 20% tip, is $95.40. What was the amount of the bill before the tip?
Enter your answer in the box.
Answer:
$79.5
Step-by-step explanation:
95.40= 120%
1%= 95.40/120
1%=0.795
100%=79.5
Twenty students are members of the school debate team. Five
of the students are girls and 15 of the students are boys. What
percentage of the team is boys?
Answer:
75%
Step-by-step explanation:
[tex]\frac{15}{20}[/tex] as a percent = 75%, or 0.75 in decimal form.
what are the x and y intercepts for the line
4x + 5y = 20
which of the following equation is true?
The bill is $24 plus 6% sales tax. What is the total amount to be paid?
Answer:
25
Step-by-step explanation:
entering to par
C.
What is the unit rate, and what does it represent in the context of this situation.
C=50p to find the total cost,c, for the number of people p, entering a local amusement park. What is the unit rate, and what does it represent in this context
Answer: you would simple multiply the cost c which is fifty bucks times the number of p people
Step-by-step explanation: how much would it cost for 6 people to go to the fair to solve this you would just set up the equation 6 * 50 and solve from there
Someone drank 3/4 of a 16 fluid ounce bottle of juice how much is left?
Answer:
12
Step-by-step explanation:
16 x3/4 is 48/4 or 48 divided by 4, or 12.
A triangle has an angle that measures 95°. The other two angles are in a ratio of 6:11. What are the measures of those two angles?
Answer:
Step-by-step explanation:
There are 4 trucks for every 5 cars in a parking lot. How many trucks and cars
could be in the parking lot if there are 35 cars?
Answer:
There could be a total of 63 vehicles, 35 cars and 28 trucks
Answer:
28 trucks
35 cars
63 total cars and trucks
Step-by-step explanation:
trucks : cars
4 : 5
Use a proportion.
x/4 = 35/5
x/4 = 7
x = 28
28 trucks
35 cars
63 total cars and trucks
Find the Length of KNJ
1.) 16.9
2.)67.5
Step-by-step explanation:
The length of arc KNJ is the circumference of the entire circle minus the measure of the 48 degree arc.
This means the central angle of this sector KNJ is 360-48=312.
Using the arc length formula, we get the arc length is (2)(pi)(16)(312/360)=416pi/15.
Evaluate 2^-5
1/32
-1/32
-32
32
Answer:
log ( 100 )
6 !
3 !
log ( 7 )
Evaluate 5+ (42 +2) =6.
5+ (4? + 2) : 6 =D
Answer:
8
Step-by-step explanation:
1) 5(16+2)/6
80+10/6
80+1.6
=8
2) 5(16+2)
80+10/6
90/6
=8
what is 8 divided by 2(2+2)=16
Answer:
answer is sixteen (16)
In a quadratic function, the greatest exponent is ________?
Answer:
2
Step-by-step explanation:
form of functions
f(x) = ax2 + bx + c
which means ² is the greatest exponent of a quadratic function
Tre Bullwinkle bought 5 pairs of jeans for $87.50. How much would he need to pay for 9 pairs of jeans?
5 pairs of jeans for $87.50.
=> 1 pr costs = 87.50 : 5 = $17.50
How much would he need to pay for 9 pairs of jeans?
= 17.50 x 9 = $157.50
Answer:
157.5
Step-by-step explanation:
87.50/5=17.5
17.5x9=157.5