Richard records the weight of his two pets in a table, as shown. After how many weeks were the pets the same weight? What was their weight at that time? Pet 1 Week Weight (grams) 0 400 2 800 Pet 2 Week Weight (grams) 0 500 2 700 At 1 week, they both weighed 600 grams. At 2 weeks, they both weighed 500 grams. At 3 weeks, they both weighed 650 grams. At 4 weeks, they both weighed 1,000 grams.
Answer:
After week 1 both the pets were having same weights of 600 gms.
Step-by-step explanation:
As given in the question weights of two pets are
Week weight of pet 1(in gm) weight of pet 2(in gm)
0 400 500
1 600 600
2 800 700
3 1000 700
In this table weights of the pets at 0 wk and 2 wk has been given only and we have calculated the weights by averaging their weights at 1 and 3 wk.
1). weight at 1 week = (weight at 0 wk + weight at 2 wk)/2
weight of pet 1 = (400+800)/2 = 600 gm
weight of pet 2 = (500 + 700)/2 = 600 gm
2).weight at 2 week = (weight at 1 wk + weight at 3 wk)/2
Therefore weight after 3 week = 2×weight after 2 week - weight after 1 week.
weight of pet 1 = 2×800 - 600 = 1600-600 =1000 gm
weight of pet 2 = 2×700 - 700 = 700 gm.
Now we have got the answer from the table formed that after 1 week both the pets were of same weight 600 gm.
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simplify the radical expression State any restrictions (n^4 -11n^2 +30) / (n^4 -7n^2 +10)
Please show steps!
Answer:
screenshot shows the answer but: n^2-6/n^2-2
Step-by-step explanation:
n^4-11n^2+30/n^4-7n^2+10
simplify the numerator
rewrite n^4 as (n^2)^2
and let u substititue for all occurences of n^2
u^2-11y+30/n^4-7n^2+10
factor u^2 - 11u+30 using the AC method.
(u-6)(u-5)/n^4-7n^2+10
(n^2-6)(n^2-5)/(n^2-5(n^2-2)
Cancel the common factor, and n^2-6/n^2-2 is your answer.
Excluded values/restrictions are n= -sqrt5 n= -sqrt2, also n= sqrt5 n= sqrt2
A family size container of macaroni holds sixteen 3/4 cup servings. A chef prepares meals using 1-cup bowls. How many bowls can the chef prepare from one family sized container?
Answer:
The answer is 12 cups.
Step-by-step explanation:
A family size container of macaroni holds 16 [tex]\frac{3}{4}[/tex] cup servings.
A chef prepares meals using 1-cup bowls.
So, the number of bowls, the chef can prepare from one family sized container is = [tex]16\times\frac{3}{4}[/tex]
= [tex]4\times3=12[/tex] bowls
Therefore, the answer is 12 cups.
Can you solve an angle measures 36° more than the measure of a complementary angle. what is the measure of each angle
answer asap, Ill give brainliest, show work
Steve can paint a room three times as fast as Billy. When they work together, Steve and Billy can paint a large room in 4 hours. How many hours would it take Billy to paint it by himself?
Suppose that an individual has a body fat percentage of 18.9% and weighs 149 pounds. How many pounds of her weight is made up of fat? Round your answer to the nearest tenth.
based on the given information ,which statement best explains whether the quadrilateral is a parallelogram
Answer:
the answer is (it cannot be determined from the information given)
Write and solve an equation to answer the question. "18 is 32% of what number w"
The value of 32% of 18 is equal to 56.25.
The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that 18 is 32% of the number w. The value of w will be calculated as:-
18 x 32/100 = w
Solve the above equation by mathematical operations to get the value of w,
18 x 32/100 = w
w = 56.25
Therefore, the value of w will be 56.25.
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Your Turn: In the diagram, AB = 12, DX = 2.5, and BX = 5. Find CD. Show all work.
Your Turn: In the diagram, AB = 12, DX = 2.5, and BX = 5. Find CD. Show all work.
Solution:
In ΔABX and ΔCDX,
∠CDX=∠ABX=90°
Also,∠CXD=∠AXB (as shown in figure)
∠DCX=∠BAX, as two angles of the triangle are equal. The third angle is also equal.
So ΔCDX≈ΔABX
Hence, the ratio of sides must be equal.
[tex] \frac{CD}{AB} =\frac{DX}{BX} =\frac{CX}{AX} [/tex]
Now, using,
[tex] \frac{CD}{AB} =\frac{DX}{BX} [/tex]
[tex] \frac{CD}{AB=12} =\frac{DX=2.5}{BX=5} [/tex]
[tex] \frac{CD}{12} =\frac{2.5}{5} [/tex]
Now, To solve for CD, Let us multiply by 12 on both sides
[tex] \frac{12*CD}{12} =\frac{12*2.5}{5} [/tex]
[tex] \frac{1*CD}{1} =\frac{30}{5} [/tex]
[tex] CD =\frac{6}{1} [/tex]
CD=6 Answer
Find the circumstances of the circle
Write an equation of the line with a slope of 2 that passes through the point (2,0)
Hence, the line with a slope [tex]2[/tex] that passes through the point [tex](2,0)[/tex] is
[tex]y=2x-4[/tex]
What is the line of equation?
The equation of a line is an algebraic form of representing the set of points, which together form a line in a coordinate system.
The numerous points which together form a line in the coordinate axis are represented as a set of variables [tex]x, y[/tex] to form an algebraic equation, which is referred to as an equation of a line.
As we know the line of the slope is
[tex]y=mx+b[/tex]
where [tex]m[/tex] is the slope we have [tex]m = 2.[/tex]
So it would be
[tex]y=2x+b[/tex]
Given the point, [tex](2, 0)[/tex]
Now, we replace [tex]x[/tex] with [tex]2[/tex] and [tex]y[/tex] with [tex]0[/tex].
Now, we solve for [tex]b[/tex].
So,
[tex]0=2(2)+b\\b+4=0\\b=-4[/tex]
Since we get [tex]b = -4[/tex], we replace [tex]b = -4[/tex]
i.e., [tex]2x-4[/tex]
Hence, the line with a slope [tex]2[/tex] that passes through the point [tex](2,0)[/tex] is
[tex]y=2x-4[/tex]
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Find the value of a in the parallelogram.
If f(x) = –x3, g(x) = 3x2 – 1, and h(x) = 2x + 5, what is the degree of [f o g o h](x)?
a-2
b-3
c-5
d-6
Answer:
Option d: 6
Step-by-step explanation:
Find f(g(h(x))).
h(x)=2x+5
g(h(x)) = 3(2x+5)^2 -1 (substitute h(x) in)
f(g(h(x)))= -[3(2x+5)^2 -1]^3 (substitute g(h(x)) in)
Since it asks for the degree of the function, that means we must look for the variable with the highest degree. In this case, after distributing and simplifying out the last equation, we will find that the variable x has the highest degree of x^6, or 6.
What is 59.69 written in expanded form
Final answer:
The expanded form of 59.69 is 50 + 9 + 0.6 + 0.09.
Explanation:
59.69 written in expanded form can be expressed as:
50 + 9 + 0.6 + 0.09
5 * 10 + 9 * 1 + 0.6 * 0.1 + 0.09 * 0.01
5 * 10 + 9 * 1 + 6 * 0.1 + 9 * 0.01
50 + 9 + 0.6 + 0.09
Therefore, the expanded form of 59.69 is 50 + 9 + 0.6 + 0.09.
Final answer:
The number 59.69 written in expanded form is 50 + 9 + 0.6 + 0.09. Each term represents a digit according to its place value, with tens, ones, tenths, and hundredths places accounted for respectively.
Explanation:
Writing the number 59.69 in expanded form means expressing each digit according to its place value. Expanded form is a way of writing numbers to see the math value of individual digits. The number 59.69 would be broken down as follows:
50 + 9 + 0.6 + 0.09
Each term represents a digit in the number: '5' is in the tens place, so it is represented as 50; '9' is in the ones place, so it is simply 9; '6' is in the tenths place, so it is represented as 0.6; '9' is in the hundredths place, so it is represented as 0.09.
When performing calculations, particularly in subjects such as chemistry, scientific notation is often used to express large or tiny numbers efficiently. For example, to enter a number in scientific notation into a calculator, you must know the correct process, which can vary based on the calculator model. Consulting the instructor or the calculator's manual is advisable if there are any doubts.
Furthermore, working with scientific notation involves understanding how to properly write and interpret the exponents, which indicate how many places the decimal point has been moved.
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How measuring angles could be useful in thge real world?
Round 6541 to the nearest thousand
To round 6541 to the nearest thousand, identify the place value and look at the hundreds place. The answer is 6000.
Rounding 6541 to the nearest thousand:
Identify the place value you are rounding to, which is the nearest thousand.
Look at the hundreds place since we are rounding to the nearest thousand. In 6541, the hundreds digits is 5, so the thousands digit remains 6, and all digits after that become 0. Therefore, 6541 rounded to the nearest thousand is 6000.
1. What is the constant of variation for the relationship f(x) = 40x?
2. Which equation is the direct variation equation if f(x) varies directly with x and f(x) = -12 when x=6
Jayce’s insurance company pays for 90% of the cost of an ambulance ride, after he pays a $250 deductible. The ambulance ride costs $1400. How much would Jayce pay for an ambulance ride?
The amount which would Jayce pay for an ambulance ride for the claim to the Jayce’s insurance company is $365.
What is deductible amount?The deductible amount is the amount which has to be paid by the customer against an insurance lost.
This amount is subtracted from the insurance amount, which one is claimed against the claim.
Jayce’s insurance company pays for 90% of the cost of an ambulance ride, after he pays a $250 deductible.
As the ambulance ride costs $1400. Thus the ambulance cost after the deductible is,
[tex]C=1400-250\\C=1150[/tex]
Here, the Jayce’s insurance company pays for 90% of the cost of an ambulance ride. Thus, the 10 percent amount should be pay by the Jayce's.
Now, the amount which is left after the insurance company paid to Jayce's is,
[tex]A=\dfrac{10}{100}\times1150\\A=115[/tex]
Hence, the total amount paid by Jayce is,
[tex]A=115+250\\A=365[/tex]
Hence, the amount which would Jayce pay for an ambulance ride for the claim to the Jayce’s insurance company is $365.
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Can one angle of a parallelogram be equal to 40° and another one 50°? Justify your reasoning.
What is the approximate volume of the cone? Use 3.14 for π . 1206 cm³ 2170 cm³ 3260 cm³ 6510 cm³ Outline of cone with a dotted line rising from middle of base to the point. Line is labeled 8 cm. A second dotted line extends horizontally from middle of base to its edge. Line is labeled 12 cm.
The required approximate value volume of the cone is v = 1206 `cm³.
Given that the Height of the cone = 8 m
The Radius of the cone = 12 m
We have to find,The approximate volume of the cone .
What is the volume of a cone?The volume of a cone is equal to one-third of the volume of a cylinder having the same base radius and height.
Where V is the volume, r is the radius and h is the height.
The volume of the cone
[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]
Where, π = 3.14
[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3\\\\ V = \dfrac{1}{3} \pi (8)^3 (12) \: \rm unit^3[/tex]
V = 1206 cm³
Hence, The required approximate value volume of the cone is v = 1206 `cm³
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Find m<A. Round to the nearest tenth.
A.
49.5°
B.
53.1°
C.
63.4°
D.
66.4°
You survey 67 employees, and 30 respond that their job satisfaction is high. What percentage of your employees have high job satisfaction?
Answer:
Percentage of employees have high satifaction of tthe job = 44.78%
Explanation:
In a company there are 67 employees
after survey only 30 employees give the high satisfaction feedback.
So, percentage of employess have high job satisfaction = [tex] \frac{Survey result}{Total employees} *100
[/tex]
= [tex] \frac{30}{67}*100 [/tex]
= 0.44776*100
= 44.78% Final answer
In right triangle PQR, P and Q are complementary angles. The value of sin Q is 9/41. What is the value of cos P?
Final answer:
In right triangle PQR, sin Q = 9/41. To find cos P, we need to determine the length of the hypotenuse PR. Once we have PR, we can use the cosine function to find cos P.
Explanation:
In a right triangle, the sine of an angle is the length of the side opposite the angle divided by the length of the hypotenuse. So, in triangle PQR, sin Q = opposite/hypotenuse = PQ/PR = 9/41.
Since angles P and Q are complementary, their sum is 90 degrees. Therefore, angle P = 90 - angle Q.
Now, using the Pythagorean theorem for triangle PQR (PQ^2 + QR^2 = PR^2), we can find PR. Since PQ = 9 and QR = 41, we have: 9^2 + 41^2 = PR^2. Solving for PR gives us PR ≈ 41.297.
Now that we have PR, we can find cos P using the cosine function: cos P = adjacent/hypotenuse = QR/PR = 41/41.297 ≈ 0.993.
In a right triangle, sin Q = 9/41. To find cos P, we can use the identity cos(90 - x) = sin(x). So cos P = sin(Q) = 9/41.
Explanation:In a right triangle, the sine of an angle is equal to the length of the side opposite the angle divided by the hypotenuse. In this case, sin Q = 9/41, which means that the length of the side opposite Q is 9 and the length of the hypotenuse is 41. Since P and Q are complementary angles, P = 90 - Q. Therefore, cos P = cos(90 - Q).
Using the identity cos(90 - x) = sin(x), we can substitute the value of Q to find cos P. cos P = sin(Q) = 9/41.
What is the area of the triangle whose vertices are (0,0), (3,0) and (0,4)?
the area of the green square is 9ft squared. the area of the red square is 16ft squared. what is the area of the yellow square
Answer:
25ft^2
Step-by-step explanation:
9 + 16 = 25
Answer: The answer to this given basic math question about finding the area of the yellow square is 25 feet squared.
Step-by-step explanation: Mmmm, that was easy, so anyway, here is a basic step in order to find the area of the yellow square:
Add green and a red square with the given feet squared that looks in the equation form like this: [tex]9+16=25ft^{2}.[/tex]I hope that my given short answer with my given short step-by-step explanation is very helpful to your own basic math question about finding the area of the yellow square, please mark me as Brainliest, take care, always be safe, and have a great rest of the weekend! :D
Sincerely,
Jason Ta,
The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.
Fifty students in the third-grade class listed their hair and eye colors in the table below: Brown hair Blonde hair Total Blue eyes 14 8 22 Brown eyes 16 12 28 30 20 50 Are the events "blonde hair" and "blue eyes" independent?
A) Yes, P(blonde hair) • P(blue eyes) = P(blonde hair ∩ blue eyes)
B) Yes, P(blonde hair) • P(blue eyes) ≠ P(blonde hair ∩ blue eyes)
C) No, P(blonde hair) • P(blue eyes) = P(blonde hair ∩ blue eyes)
D) No, P(blonde hair) • P(blue eyes) ≠ P(blonde hair ∩ blue eyes)
Answer: the answer is D
Step-by-step explanation:
Which expression can be used to find the number of liters in 15 quarts?
Answer:15 quarts/1 x 0.95 liter/1 quart
Step-by-step explanation:
Please help What is the value of d?
What is the answer for A?
Pencils sells for 98 cents per dozen. how much more per pencils