Answer:
There are 2000 grams of in each meal.
Step-by-step explanation:
First you divide 8 by 4 because that's how many meals he eats per day then you convert the kilograms into grams.
The weight of each meal a black bear eats is 2 kilograms.
What is a unitary method?
A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, A black bear in a zoo eats 8 kilograms of food each day.
He eats 4 equal-sized meals each day.
∴ The weight of each meal is the total kilograms of food divided by the total no. of meals which is,
= (8/4) kilograms.
= 2 kilograms.
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A group of campers and one group leader left a campsite in a canoe. They traveled at an average rate of 10 km/h. Two hours later, the other group leader left the campsite in a motorboat. He traveled at an average rate of 22 km/h.A. How long after the canoe left the campsite did the motorboat catch up with it?B. How long did the motorboat travel?
A .The canoe left the campsite did the motorboat catch up with it 3 hrs and 40 minutes
B . The motorboat travel at 1 hr 40 minutes
A group of campers and one group leader left a campsite in a canoe.
They traveled at an average rate of 10 km/h.
1st Group DATA:
rate = 10 km/h ; distance = x km ; time = d/r = x/10 hrs
Two hours later, the other group leader left the campsite in a motorboat.
He traveled at an average rate of 22 km/h.
Group Leader DATA:
rate = 22 km/h ; distance = x km ; time = d/r = x/22 hrs
A. How long after the canoe left the campsite did the motorboat catch up with it?
Group time - Leader time = 2 hr
x/10 - x/22 = 2
Multiply thru by 110 to get:
11x - 5x = 220
6x = 220
x = 110/3 = km
canoe total time = x/10 = (110/3)/(10) = 11/3 = 3 hrs and 40 minutes
B. How long did the motorboat travel?
motorboat time = x/22 = (110/3)/22 = 1 hr 40 minutes
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Find the two solutions to the equation below.
(x – 3)(x − 2) = 0
Anyone know how to do it
Answer:
You have two brackets..divide them as
x-3=0 and x-2=0
so x=3, x=2
The solutions to the equation ( x – 3 )( x − 2 ) = 0 using factors equal to zero are x = 3 and x = 2.
To find the solutions to the equation ( x – 3 )( x − 2 ) = 0, we set each factor equal to zero and solve for x. This is because the product of two factors is equal to zero only if at least one of the factors is zero.
Setting ( x – 3 ) = 0:
x – 3 = 0
x = 3
Setting ( x − 2 ) = 0:
x − 2 = 0
x = 2
Therefore, the solutions to the equation ( x – 3 )( x − 2 ) = 0 are x = 3 and x = 2.
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What is the domain of the function y= ^3-/ x-1
Answer:
domain is (- infinity , infinity )
Step-by-step explanation:
I got it right
negative infinity < x < infinity
got it right on EDGE 2022
What is 4 ÷
3
5
pls help me i am time
Answer: 1.25 and .8
Step-by-step explanation:
Answer:20 over 3
Step-by-step explanation:
The dj charges $35 for 1/2 hour. If the school hires him for a dance that lasts 3 1/2 hours, how much will the dj earn
Answer:
$245
Step-by-step explanation:
Step-by-step explanation:
$35 / 1/2=x / 3 1/2Divide 35 by 1/2 by multiplying 35 by the reciprocal of 1/2.
35*2=x / 3*2+1/2
Multiply 35 and 2 to get 70.
70=x / 3*2+1/2
Divide x by 3*2+1/2 by multiplying x by the reciprocal of 3*2+1/2.
70=x*2/3*2+1
Multiply 3 and 2 to get 6.
70=x*2/6+1
Add 6 and 1 to get 7.
70=x*2/7
Swap sides so that all variable terms are on the left-hand side.
x*2/7=70
Multiply both sides by 7.
x*2=70*7
Multiply 70 and 7 to get 490.
x*2=490
Divide both sides by 2.
x=490/2
Divide 490 by 2 to get 245.
x=245
what is the simple interest if I=1000 birr,T=5 years and p=4000 birr
Answer:
l don't understand your question
If the radius of a circle is 9 cm, how long is the diameter
Answer:
18 cm
Step-by-step explanation:
please help me and fast
Find the absolute minimum and absolute maximum values of f on the given interval. f(x) = (x2 − 1)3, [−1, 2]
Given :
\(F(x)=3(x^2-1)\)
To Find :
the absolute minimum and absolute maximum values of f on the given interval
[-1,2] .
Solution :
Now , getting first order differential equation and equating its equal to zero.
\(\dfrac{d(3x^2-3)}{dx}=0\\\\6x=0\\x=0\)
So , x=0 is critical point .
Now , coefficient of \(x^2\) is positive .
Therefore , it is increasing function after x=0 .
So , min value will be at , x=0.
\(Min = (0^2-1)\times 3=-3\)
And maximum value will be the maximum at the x=2 because it is increasing function .
\(Max=(2^2-1)\times 3=9\)
Therefore , max and min value is 9 and -3 respectively .
Hence , this is the required solution .
If you spin the spinner 72 times, what is the best prediction possible for the number of times it will land on yellow?
the best prediction possible for the number of times the spinner will land on yellow if it is spun 72 times is 12. This means that out of 72 spins,
how to solve probability
If the spinner has 12 equal parts and 2 of them are yellow, then the probability of the spinner landing on yellow is 2/12, or 1/6. This means that out of every 6 spins, we can expect the spinner to land on yellow once.
To find the best prediction for the number of times the spinner will land on yellow if it is spun 72 times, we can use the idea of expected value. The expected value of an event is the average value we would expect to see if the event were repeated many times.
In this case, the expected value of the number of times the spinner will land on yellow in 72 spins is simply the probability of landing on yellow multiplied by the number of spins:
Expected value = Probability of yellow x Number of spins
Expected value = (1/6) x 72
Expected value = 12
Therefore, the best prediction possible for the number of times the spinner will land on yellow if it is spun 72 times is 12. This means that out of 72 spins, we can expect the spinner to land on yellow approximately 12 times on average. However, it's important to remember that this is just a prediction based on probability, and the actual number of yellow spins may vary.
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I dont want you to answer the question, i have already answered it. I want you to look at the question, lmk when you have understood it and i will send you my answer. I want you to let me know if i have provided an answer that is worthy of full marks that i have answered correctly and shown my understanding.Thank you
Explanation:
Every natural number is a rational number but a rational number need not be a natural number.
We know that, 1 = 1/1, 2 = 2/1, 3 = 3/1 and so on ……. .
In other words, every natural number n can be written as n = n/1, which is the quotient of two integers. Thus, every natural number is a rational number.
Clearly, 3/2, 2/5, 1/7, 15/20, etc. are rational numbers but they are not natural numbers.
Hence, every natural number is a rational number but a rational number need not be a natural number.
{x | x is in W and x < 8}
Answer:
uh
Step-by-step explanation:
x=10 and ya 19 is greater
The multiplicative inverse of 1/16 ÷ 1/81 +-1/8
The Multiplicative inverse of 1/16 ÷ 1/81 +-1/8 is 16/79
What is multiplicative inverse?The multiplicative inverse of a number x is represented by x-1, which has the property that when multiplied by the original number, it has a value of 1. For instance, 2-1 is the multiplicative inverse of 2, as it meets the formula: 2 x 2-1 = 2 x 12 = 1. The reciprocal of a number is another name for it. A number that, when multiplied by a number x, produces the multiplicative identity 1, or 1/x or x1, is known as a multiplicative inverse or reciprocal in mathematics. B/a is the multiplicative inverse of the fraction a/b. Divide 1 by the real number to find its multiplicative inverse.Essentially a reciprocal, a multiplicative inverse is. The number that produces 1 when multiplied by the original number is known as the multiplicative inverse of that number.1/16 ÷ 1/81 + -1/8
1/16 ÷ 1/81 = 81/16
+ -1/8 = - 1/8
81/16 - 1/8
Then,
= 81/16 - 2/16
= (81 - 2)/16
= 79/16
Multiplicative inverse = 16/79
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Explain or show how you could find 5 ÷ 1/3 by using the value of 5x3.
Answer:
20
You could find 5/⅓
by using 5 × 3
Knowing that:
Any number multiplied by 1, gives the number itself.
Dividing any number by itself gives 1.
Writing 5/⅓ as 5/⅓ × 1 doesn't change the value.
Then I can write 5/⅓ as
5/⅓ × (5×3)/(5×3) = 1
This can become
[5×(5×3)] / [(⅓) × (5×3)]
= 75/(15/3)
= 75/5
= 15
or
12/ 3/5
= [12/ (3/5)] × [(5×3)/(5×3)]
= 12×(5×3) / (3/5)×(5×3)
= (12×5×3) / [(3×5×3)/5]
= 180 / (45/5)
= 180 / 9
= 20
What is the Recursive relation of 1,1,5,17,71,247…
The recursive relation of the data distribution a(n) = a ( n - 1 ) x n - ( n - 1 ).
How to find the recursive relation ?A sequence of values is defined by a mathematical equation termed as a recursive relation, also known as recursive relation. It derives current value(s) through specified initial value(s) and previous value dependent rule(s). In essence, it generates numeric sequences.
Note that every individual unit can be derived by multiplying the preceding one with a rising integer, and subsequently subtracting a descending integer:
1 x 1 - 0 = 1
1 x 2 - 1 = 1
1 x 3 - 2 = 5
5 x 4 - 3 = 17
17 x 5 - 4 = 71
71 x 6 - 5 = 247
We can deduce the relation of a(n) = a ( n - 1 ) x n - ( n - 1 ).
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What is the volume of the rectangular prism?
* 1 cubic inch
А
40 cubic inches
B
60 cubic inches
52 cubic inches
D
120 cubic inches
Can someone help me please?
ASAP
Answer:
y = 12 x = 12\(\sqrt{3}\)
Step-by-step explanation:
This is a 60, 90, 30. It's a special triangle.
2z = 24
z = 12
If x = z\(\sqrt{3}\)
then x = 12\(\sqrt{3}\)
y = z itself
So y = 12
Find the value of x.
x = ___
Write the equation of the line perpendicular to y=3/2x+5/2 that passes through the point (-3,7)
Answer:
y = -2/3x + 5
Step-by-step explanation:
lmk if you want an explanation
Write and solve a system of equations to solve the problem.
At a film festival, Film A its 4 times as long as Film B. Together, the times are 160 min long. How long is each film?
Answer:
Film A = 128 min
Film B = 32 min
Step-by-step explanation:
let 'B' = length of film B
let '4B' = length of film A
4B + B = 160
5B = 160
B = 32
4B = 128
5
4
3-
Mark this and return
N
-5-4-3-2-1₁.
24
1+
GAW N
y
+2+
-3
-4
1 2 3 4 5 x
What is the range of the function on the graph?
O all the real numbers
O
all the real numbers greater than or equal to 0
all the real numbers greater than or equal to 2
O all the real numbers greater than or equal to -3
Save and Frit
The range of the function on the graph would be: D. all real numbers greater than or equal to 2
How to calculate the function rangeTo obtain the range, observe the y values whose result can be obtained by the function of x. To obtain this range, we examine the graph and note that the range begins from 2 on the y-axis and extends upwards.
So, if we wish to define our range, we will enter all real numbers that are equal to or greater than 2 as seen in the direction of the graph.
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You can buy 20 pens for $8 or 30 pens for $10. Which is the better deal?
Answer: It would be the first one (20 pens for 8$)
Step-by-step explanation: If you divide 20 by 8 then each pencil will be 2.50$. However if you divide 30 by 10 it will be 3 dollars for each pencil so the first deal will be better since you spend less money.
If sin =−0.093 and 00 ≤ <3600, then what is to the nearest tenth of a degree?
A. 5.3⁰ or 174.7⁰
B. 185.3⁰ or 354.7⁰
C. 174.7⁰ or 185.3⁰
D. 2.2⁰ or 0.9⁰
There are two angles for the sine function such that sin θ = - 0.093: (i) 185.3°, (ii) 354.7°.
What are the approximate values of a trigonometric function?
In this problem we must determine two values of the angle of the sine function such that its result is - 0.093. According to the features of the trigonometric function, sine is negative for angles between 180° and 360°.
Since trigonometric functions are trascendent functions, we can only obtain approximate values of the angle by means of inverse trigonometric functions and numerical methods. There are two possible solutions:
sin⁻¹ - 0.093
θ₁ ≈ 185.336° or θ₂ ≈ 354.664°
θ₁ ≈ 185.3° or θ₂ ≈ 354.7°
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help. use the figure shown to the right to find the value of x
Answer:
\(\begin{aligned}x &= 16\sqrt3 \\ &\approx 27.7\end{aligned}\)
Step-by-step explanation:
We can see that the longer leg (a) of a right triangle is half of the circle's radius. Since we are given the other two sides of the triangle (shorter leg and hypotenuse), we can solve for the length of the longer leg using the Pythagorean Theorem:
\(a^2 + b^2 = c^2\)
↓ plugging in the given values
\(a^2 + 2^2 = 14^2\)
↓ subtracting 2² from both sides
\(a^2 = 14^2 - 2^2\)
\(a^2 = 196 - 4\)
\(a^2 = 192\)
↓ taking the square root of both sides
\(a = \sqrt{192\)
↓ simplifying the square root
\(a = \sqrt{2^6 \cdot 3\)
\(a = 2^{\, 6 / 2} \cdot \sqrt3\)
\(a = 2^3\sqrt3\)
\(a = 8\sqrt3\)
Now, we can solve for the radius (x) using the fact that the longer leg of the triangle is half of it.
\(a = \dfrac{1}{2}x\)
↓ plugging in the a-value we solved for
\(8\sqrt3 = \dfrac{1}2x\)
↓ multiplying both sides by 2
\(\boxed{x = 16\sqrt3}\)
An apple falls off a tree from a height of $36$36 feet.
a. What does the function $h(t)=-16t^2+36$h(t)=−16t2+36 represent in this situation?
BoldItalicUnderlineBullet listNumbered listSuperscriptSubscriptTable
0 / 10000 Word Limit0 words written of 10000 allowed
Question 2
b. Find and interpret the domain of h$h$h in this situation.
BoldItalicUnderlineBullet listNumbered listClear formattingSuperscriptSubscript
a)The term 1-16t²represents the effect of gravity on the apple, which causes it to fall with increasing speed. The constant term 36 represents the initial height of the apple
b)Interpreting the domain, we can say that h(t) makes sense only for non-negative values of t. In other words, we can use the function h(t)to find the height of the apple at any time t a
what is gravity ?
Gravity is a fundamental force of nature that causes objects with mass to attract each other. It is the force that keeps planets in orbit around stars, and stars in orbit around the center of their galaxies.
In the given question,
a. The function h(t)=-16t²+36 represents the height of an apple above the ground at time t after falling off a tree. The term1 -16t² represents the effect of gravity on the apple, which causes it to fall with increasing speed. The constant term 36 represents the initial height of the apple when it fell off the tree.
b. The domain of h(t) in this situation is the set of all possible values of t that make sense in the context of the problem. Since h(t) represents the height of the apple at time t after it fell off the tree, the domain of h(t)is the set of all non-negative real numbers, or [0,\infty) This is because time cannot be negative, and the apple cannot fall for an infinite amount of time.
Interpreting the domain, we can say that h(t)makes sense only for non-negative values of t. In other words, we can use the function h(t) to find the height of the apple at any time t after it fell off the tree, as long as t is non-negative..
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Write the equation of the line, in slope intercept form, that goes through the points (6,4) and (-3,-5)
Answer:
y = x - 2
Step-by-step explanation:
Find the slope using rise over run
(y2 - y1) / (x2 - x1)
Plug in the points:
(y2 - y1) / (x2 - x1)
(-5 - 4) / (-3 - 6)
-9 / -9
= 1
Using y = mx + b, plug in the slope and a point to solve for b:
y = mx + b
4 = 1(6) + b
4 = 6 + b
-2 = b
Plug in the slope and b to y = mx + b
y = 1x - 2
y = x - 2
So, the equation of the line is y = x - 2
Which figure shows a reflection of pre-image ABC over the y-axis?
The figure that shows a reflection of pre-image ABC over the y-axis is Figure D, which has negative x-coordinates for each point.
A figure's reflection over the y-axis is obtained by flipping the figure across the y-axis. This means that each point's x-coordinates are negated while its y-coordinates remain unchanged.
We can see from the figures in the image that the pre-image ABC has positive x-coordinates, and a reflection over the y-axis results in a new image with negative x-coordinates.
As a result, Figure D, which has negative x-coordinates for each point, depicts a reflection of pre-image ABC over the y-axis.
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What is the answer to -4 x ( -6 )
Answer:
24x
Step-by-step explanation:
Multiply − 6 by − 4 .
Answer:
24
Step-by-step explanation:
you multiply negative 4 by negative 6
Interest centers around the nature of an oven
purchased at a particular department store. It can be
either a gas or an electric oven. Consider the decisions
made by six distinct customers.
(a) Suppose that the probability is 0.40 that at most
two of these individuals purchase an electric oven.
What is the probability that at least three purchase
the electric oven?
(b) Suppose it is known that the probability that all
six purchase the electric oven is 0.007 while 0.104 is
the probability that all six purchase the gas oven.
What is the probability that at least one of each
type is purchased?
Using the concept of complementary probabilities, it is found that:
a) 0.6 = 60% probability that at least three purchase the electric oven.b) 0.889 = 88.9% probability that one of each type is purchased.-----------------------
Two probabilities are complementary if their sum must be 100% = 1.-----------------------
Item a:
At most 2 and at least 3 are complementary.0.4 probability of at most 2.Thus:
\(p = 1 - 0.4 = 0.6\)
0.6 = 60% probability that at least three purchase the electric oven.
-----------------------
Item b:
0.007 probability of all electric.0.104 probability of all gas.All the same types, and at least one of each are complementary.The probability of all the same type is:
\(p = 0.007 + 0.104 = 0.111\)
Thus, the probability of at least one of each type is:
\(p = 1 - 0.111 = 0.889\)
0.889 = 88.9% probability that one of each type is purchased.
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Joseph uses 1/5
cup of bananas for every
4/5 cup of apples to make a smoothie.
Enter the number of cups of bananas Joseph uses for 1 cup of apples.
Answer:5/5
Step-by-step explanation: