Answer:
[tex]\sqrt{207}[/tex]
Step-by-step explanation:
Use the right triangle formula c^2=a^2+b^2
C is the number of the hypothenuse while b and c are the 2 others.
16^2=7^2+a^2
256=49+a^2
now solve for the equation.
a^2=207
now take the square root of both.
a=[tex]\sqrt[2]{207}[/tex]
Problem 1.9. Find the relative ertrema of the following function. Determine whether each
ertremum is a marimum or a minimum.
f(x) =
[tex] \frac{ {x}^{2} }{ {x}^{4} + 16 } [/tex]
Answer:
Min: 0
Max: 0.125
Step-by-step explanation:
[tex]\frac{d}{dx} \frac{x^2}{x^4+16} =0\\\frac{-(2x)(x^4-16)}{(x^4+16)^2} =0\\x=0, 2, -2\\f(0)=0\\f(2)=f(-2)=0.125\\\frac{d^2}{dx^2} f(x)=\frac{6x^8-384x^4+512}{(16+x^4)^3} \\f''(0)=0.125>0\\f''(2)=f''(-2)=-0.125[/tex]
Min: 0
Max: 0.125
he square root of 125 is closest to what whole number? *
someone please help me answer this!!!
Answer:
n = 9
Step-by-step explanation:
Using index laws, multiply 3 into 3 to get 9
(x3)^3 = x^n
x^9 = x^n
9 = n
Answer:
n = 9
Step-by-step explanation:
hey mate make my answer brainiest
(x*3)*3=x*n
3×3=n. (reason when bases are same powers are also same)
9=n
n=9
I hope this helps
Pls help me PLSPLSPLSPLSPLSPLS
Answer:
1
Step-by-step explanation:
As all the others suggest more than two which is what the graph shows
Simplify (3x + 2y)2 using the square of a binomial formula.
Question 14 options:
A)
9x2 + 4y2
B)
9x2 + 5xy + 4y2
C)
9x2 + 6xy + 4y2
D)
9x2 + 12xy + 4y2
Answer:
D
Step-by-step explanation:
(3x+2y)(3x+2y)
Now distribute the numbers.
9x^2+6xy+6xy+4y^2
9x^2+12xy+4y^2
A number cube is marked 1, 2, 3,4,5 and on 6 it's face if you roll the cube one time what is the probability that is 2
Answer:
1/6
Step-by-step explanation:
This is your answer
Hope this helps :)
Answer:
1/6
Step-by-step explanation:
Dee whether the bangles are shofe, welte a similarity
statement
AV
X
Answer:
Step-by-step explanation:
ı do not know
Based on the scatterplot below what is the most likely value for “Pounds of Apples” when “Number of Apples” is 60?
Pls help me on this. Tap on photo to see better
Answer:
256
Step-by-step explanation:
Step-by-step explanation:
ithink 100
Please help ASAP please and thank you have a great and blessed day!
Answer:
A and C I believe
Step-by-step explanation:
Because when you take 7.429 another nine rounds the 2 and it is higher than 5 so it would make that 7.43 and for C 7.433 the second 3 is lower than 5 so it doesnt change anything, since 5 and above give it a shove and 4 and below let it go, so I believe its A and C
Is 8/12 and 4/6 equivalent or not
Need help on this thank you
Answer:
D. 1331 cm^3
Step-by-step explanation: Since it is a cube that means that length, width, and height all equal 33. Then the formula is l*w*h so 11*11*11=1331
A flag pole has a rope that attaches to the ground from the top of the flagpole the rope create a 30° angle with the ground and is attached 10 m from the bottom of the pool how long is the rope in how tall is the flagpole
Answer:
[tex]5.77\ \text{m}[/tex]
[tex]11.54\ \text{m}[/tex]
Step-by-step explanation:
p = Height of pole
h = Length of role
b = Distance between the bottom of the rope and bottom of the pole = 10 m
[tex]\theta[/tex] = Angle between the rope and the ground = [tex]30^{\circ}[/tex]
[tex]\tan\theta=\dfrac{p}{b}\\\Rightarrow p=b\tan\theta\\\Rightarrow p=10\tan30^{\circ}\\\Rightarrow p=5.77\ \text{m}[/tex]
The length of the rope is [tex]5.77\ \text{m}[/tex]
[tex]\cos\theta=\dfrac{b}{h}\\\Rightarrow h=\dfrac{b}{\cos\theta}\\\Rightarrow h=\dfrac{10}{\cos30^{\circ}}\\\Rightarrow h=11.54\ \text{m}[/tex]
The length of the pole is [tex]11.54\ \text{m}[/tex]
Deshawn has two bags of marbles. The first bag has 2 blue, 3 orange, and 5 red. The second bag has 4 pink, 10 blue, and 6 brown. If he pulls a marble out of each bag, what is the probability that he will pull out a blue marble from each bag
Answer: 0.1
Step-by-step explanation:
Given
Bag-I has 2 blue,3 orange, 5 red
Bag-II has 4 Pink,10 blue, 6 brown
No of ways of choosing a blue marble from bag-I
[tex]\Rightarrow ^2C_1[/tex]
Total no of ways of choosing a marble from bag-I
[tex]\Rightarrow ^{10}C_1[/tex]
No of ways of choosing a blue marble from bag-II
[tex]\Rightarrow ^{10}C_1[/tex]
Total no of ways of choosing a marble from bag-II
[tex]\Rightarrow ^{20}C_1[/tex]
The probability that he will pull out a blue marble from each bag is
[tex]\Rightarrow P=\text{Probability of pulling a blue marble from bag-I}\times \text{Probability of pulling a blue out bag-II}[/tex]
[tex]\Rightarrow P=\dfrac{^2C_1}{^{10}C_1}\times \dfrac{^{10}C_1}{^{20}C_1}\\\\\Rightarrow P=\dfrac{2}{10}\times \dfrac{10}{20}=\dfrac{1}{10}[/tex]
ill mark brainlist plss help
Answer: 200km
Step-by-step explanation:
200 mm and 200cm are too small.
Answer:
I believe the answer would be 200 km.
Step-by-step explanation:
The distances listed for A, B, C leave barely enough distance between one house to another. The only reasonable option would be kilometers in this instance. This question was also answered already, and the ones with the highest reviews had chosen D) 200 km. Good Luck!
PLEASE HELP ASAP
I need help finding the rate of change
James bought a bag of onions that was labed 5 kilograms he needs to know how many grams that is for a recipe how many grams is 5 kilograms
A.5,000grams
B.50 grams
C50,000 grams
D500 grams
Answer:
5000 grams
( it says i have to type 20 characters so i did this)
WILL GIVE BRAINLIST
The graph of a polynomial is shown below. Between which two x-values does
this polynomial have an extreme value?
A. -2 to - 1
B. -1 to 1
C. 3 to 2
D. 1 to 2
Answer:
D
Step-by-step explanation:
the extreme or the highest value(4) are between 1 and 2
Find the average rate of change of f(x)=2x^2-8x from x=2 to x=5. Simplify your answer as much as possible.
f(x)=2x^2-8x from x=2 to x=5. Simplify your answer as much.
We need to find [f(b) - f(a)]/(b - a).
Let a = 2
Let b = 5
f(2) = 2(2)^2 - 8(2)
f(2) = 8 - 16
f(2) = -8
We now find f(5).
f(5) = 2(5)^2 - 8(5)
f(5) = 50 - 40
f(5) = 40
[f(5) - f(2)]/(5 - 2)
(40 - (-8))/(3)
(40 + 8)/3
48/3 = 16
The average rate of change is 16.
The director of Washington County Animal Services wants to learn more about the adoptable pets in local animal shelters. Which of these methods will produce the most representative sample of the population of adoptable pets at shelters in Washington County? O A. The director visits each shelter and evaluates the first 10 cats in each place. O B. The director evaluates all adoptable rabbits at area shelters. O C. The director selects adoptable pet ID numbers at random from each shelter. O D. The director evaluates every adoptable pet at one selected shelter.
Answer: It is C, The director selects adoptable pets ID numbers at random from each shelter!
Step-by-step explanation: I took the quiz on A P E X^^
write the equation of a quadrtic function that satisfies f(0)=7
Answer:
the answer to your question is this f(x) = x^2 - 11x + 2
Step-by-step explanation:
naing ducts Of Differences Show that (x - 1)(x - 1) and x² – 2x + 1 are equivalent expressions by drawing a diagram or applying the distributive property. Show your reasoning.
Answer:
(x-1)(x-1) = x^2-2x+1
Step-by-step explanation:
x^2-1x-1x+1 = x^2-2x+1
60°
Х
48°
72°
X-
degrees
Answer:
x=132
Step-by-step explanation:
Hey There!
The angle that is equal to 48 and angle x are supplementary angles meaning that they will add up to equal 180
so to find x we subtract 48 from 180
180-48=132
therefore x=132
The value of x will be;
⇒ x = 132°
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The triangle is shown in figure.
The interior angles are;
⇒ 60°, 72° and 48°
Now,
We know that;
The sum of two opposite interior angle of the a triangle is equal to the exterior angle of the triangle.
So, We get;
⇒ x = 60° + 72°
⇒ x = 132°
Thus, The value of x = 132°
Learn more about the triangle visit;
https://brainly.com/question/17335144
#SPJ2
Plz answer correctly
Answer:
628
Step-by-step explanation:
area of full circle is pir^ 2
divide by 2 for semicircle
Choose ALL that apply to classify the decimal.
0.186
Question 3 options:
Rational
Repeating
Irrational
Nonterminating
Terminating
Answer:
Rational TerminatingStep-by-step explanation:
A Rational number is one that can be expressed as a fraction where the denominator is not zero. The above decimal can be expressed as a fraction in the form : ¹⁸⁶/₁₀₀₀
The decimal is also a terminating decimal which describes a decimal number that has a certain number of digits after the decimal point. In other words, the digits after the decimal point do not go on forever. 0.186 has three digits after the decimal meaning it does not go on forever.
Sara threw her math book off a building . The height of the book, seconds after being thrownis modeled by the equation below. The height measured in feet. h(x)=-5(x+2)(x-7) what is the height of the book when it is thrown?
Answer: 70 ft
Step-by-step explanation:
Given
height of book is measured by the function is
[tex]h(x)=-5(x+2)(x-7)[/tex]
when the book is thrown [tex]x=0[/tex]
[tex]\therefore h(x=0)=-5(0+2)(0-7)\\\Rightarrow h(x=0)=70\ ft[/tex]
The height of the book is [tex]70\ ft[/tex]
Prince Charming invests $3000 for 5 years at a rate of 4% per year simple interest.
Calculate the total interest he will receive.
Answer:
$ 600
Step-by-step explanation:
From the question given above, the following data were obtained:
Principal (P) = $ 3000
Time (T) = 5 years
Rate (R) = 4%
Interest (I) =?
The total interest he will receive can be obtained as follow:
I = PTR/100
I = 3000 × 5 × 4 / 100
I = 60000 / 100
I = $ 600
Thus, the total interest he will receive is $ 600
The amount of $600 received by Prince Charming on the investment of $3000 for 5 years.
Prince Charming invests $3000, thus the principal amount is $3000.
He invest the same amount for 5 years, thus time we have to paid on this principal is 5 years.
The rate for which the principal amount increase is 4 %.
The formulated way to represent the simple interest (I) after passing t years of time, at a rate of r % and having a principal amount of P is mentioned below.
[tex]I=\dfrac{P \times r \times t}{100}[/tex]
Substitute the given values in the above formula to calculate simple interest.
[tex]\begin{aligned}I&=\dfrac{3000 \times 4 \times 5}{100}\\&=600 \end{aligned}[/tex]
Thus, the amount of $600 received by Prince Charming on the investment of $3000 for 5 years.
To know more about the simple interest, please refer to the link:
https://brainly.com/question/23266303
The sum of two numbers is -- 3. One number is 26 more than the
other one. Find the numbers.
Answer:-29+26
Step-by-step explanation:
Which statement describes the transformation of ΔABC? Is ΔA'B'C' ≅ ΔABC? Explain. A) ΔABC has reflected across the y-axis and translated left 7. ΔA'B'C' ≠ ΔABC because a reflection and translation are rigid transformations. Rigid transformations dilate the original figure. B) ΔABC has reflected across the x-axis and translated left 5. ΔA'B'C' ≅ ΔABC because a reflection and translation are rigid transformations. Rigid transformations have no effect on the side lengths of the original figure. C) ΔABC has reflected across line y-axis and translated left 5. ΔA'B'C' ≅ ΔABC because a reflection and translation are rigid transformations. Rigid transformations have no effect on the side lengths of the original figure. D) ΔABC has reflected across line p and translated left 7. ΔA'B'C' ≅ ΔABC because a reflection and translation are rigid transformations. Rigid transformations have no effect on the side lengths of the original figure.
Answer:
the answer is D
Step-by-step explanation:
because the! ABC moved 7 points and reflected over line p
Please help me out I’m really struggling with this
Answer:
Step-by-step explanation: