0.375 is a rational numbers.
What are rational numbers?A rational number is any number that can be expressed as a fraction, where both the numerator (the top number) and the denominator (the bottom number) are integers, where the denominator of the fraction is not equal to zero.
0.375 can be written as a fraction.
0.375 = 375/1000
Therefore 0.375 is a rational number.
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V = 1/3πr²h; solve for h
Answer:
[tex]\displaystyle{h = \dfrac{3V}{\pi r^2}}[/tex]
Step-by-step explanation:
Given the equation of:
[tex]\displaystyle{V=\dfrac{1}{3}\pi r^2 h}[/tex]
The equation is also reference to volume of a cone. To solve an equation for h-term, we’ll multiply both sides by 3 first to clear all denominator:
[tex]\displaystyle{V \cdot 3 = \dfrac{1}{3}\pi r^2 h \cdot 3}\\\\\displaystyle{3V = \pi r^2 h}[/tex]
Then divide both sides by [tex]\displaystyle{\pi r^2}[/tex]:
[tex]\displaystyle{\dfrac{3V}{\pi r^2}=\dfrac{\pi r^2 h}{\pi r^2}}\\\\\displaystyle{h = \dfrac{3V}{\pi r^2}}[/tex]
The equation F = ma states that the force F on an object is equal to the mass m of the object times the acceleration a of the object. The force is measured in a unit called "newtons*.
A single grain of medium grain rice has a mass of 2.4 x10-5 kg. If this grain of rice is dropped, the acceleration it will have due to gravity is 9.8 m/s?. Use the above equation to calculate the amount of force on the grain of rice.
Choose the answer that represents this value in scientific notation.
The amount of force on the grain of rice is 23.52 × 10⁻⁵ newtons.
The right format for scientific notation is a × 10ᵇ, where an is an integer or decimal number with an absolute value more than or equal to one and less than ten, or 1 < |a| < 10. For the scientific notation to be mathematically equivalent to the original value, b must be a power of 10.
The Force of a particle is given as:
F = ma, where m is the mass and a is the acceleration.
Now, the mass of a grain of rice is 2.4 × 10⁻⁵ kg.
The acceleration due to gravity is 9.8 m/s².
Therefore, the force on the grain of rice is :
F = ma
F = 2.4 × 10⁻⁵ kg × 9.8 m/s²
F = 23.52 × 10⁻⁵ newtons
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Tree loaves of bread cost $2.43.how much do two loaves cost
Answer:
$1.62
Step-by-step explanation:
If you divide $2.43 by 3 it's 0.81 and that's the cost of one loaf of bread so multiply that by 2 and you get the cost of two loaves of bread which is $1.62
The number on ribens ticket has a value between the values 739214 and 74000”
The statement as an inequality expression is 739214 < x < 740000
What are inequality expressions?Inequality expressions are mathematical statements that are represented by variables, coefficients and operators where the opposite sides are not equal
How to represent the statement as an Inequality expression?The statement is given as
"The number on Riben's ticket has a value between the values 739214 and 740000”
Let the value on the ticket be x
So, the statement can be represented as
"x has a value between the values 739214 and 740000”
"Between" means the values are exclusive
So, the statement can be represented as
739214 < x < 740000
Hence, the statement as an inequality expression is 739214 < x < 740000
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Possible question
Represent the following statement as an inequality
"The number on Riben's ticket has a value between the values 739214 and 740000”
Neee help fast taking a test right after
Answer:
A
Step-by-step explanation:
The rays that form the angles can extend for infinite length.
In a salad recipe, the ratio of carrots to broccoli must remain constant. The table below shows some possible combinations of carrots and broccoli.
Salad Ingredients
Carrots
Broccoli
3
9
4
12
6
18
7
21
If only whole vegetables can be used, what is the fewest number of vegetables that can be used to make this salad?
1
3
4
12
Answer:
if there is lettuce, carrots, and broccoli... those are three ingredients.
Step-by-step explanation:
3, because of the amount of ingredients
dogs to cats is 2:7 there are 90 animals how many are cats
Answer: 70 cats
Step-by-step explanation:
add 2+7 = 9
90/9 = 10
multiply 2x10 = 20 dogs
10x7= 70 cats.
What is the difference? 19,832,216 – 9,089,689
Answer:
10742527
Step-by-step explanation:
When first observed, an oil spill covers 4 square miles. Measurements show that the area is tripling every 8 hrs. Find an exponential model for the area A (in mi2) of the oil spill as a function of time t (in hr) from the beginning of the spill.
A(t) =
2. The lengths of the sides of a triangle are (2a + 1) cm, (3a + 2) cm and (4a - 1) cm. (a) Find the perimeter of the triangle in terms of a. (b) If the perimeter of the triangle is 47 cm, find the value of a. 3a + 2 4a-1 2a + 1
Answer:
(a) 9a + 2
(b) a = 5
Step-by-step explanation:
Perimeter of a triangle = sum of sides
=
2a + 1 +
3a + 2 +
4a - 1
----------
9a + 2 Answer (a)
If perimeter = 47 , then 9a + 2 =47
Subtract 2 from both sides
==> 9a = 47 -2
9a = 45
a = 45/9
a = 5
Find the y-intercept of the line 20x + 20y = -10.
Write your answer as an integer or as a simplified proper or improper fraction, not as an
ordered pair.
Submit
The y-intercept of the given line is -1/2
Y-Intercept means the line making an intercept on the y-axis where the value of x will be 0.
In simple terms, the Y-intercept of any line can be found by making x = 0
The equation of the line given is
20x + 20y = -10
So to find the y-intercept, let us keep x = 0
Thus, the equation becomes
20(0) + 20y = -10
0 + 20y = - 10
20y = -10
y = -10/20
y = -1/2
y = -0.5
The answer need to be in proper fraction as said in the question,
Thus y = -1/2
So, The y-intercept of the given line is -1/2
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4-x/3= y solve for x
Answer:
x=-3y+12
Step-by-step explanation:
[tex]4-\frac{x}{3}=y[/tex]
You can subtract y from both sides and add (x/3) to both sides to isolate the variable that you're trying to solve.
[tex]-y+4=\frac{x}{3}[/tex]
Multiply both sides by 3
[tex]-3y+12=x[/tex]
I need an answer ASAP Which expression is equivalent to −5 + 8 − 6x − 8x?
14x + 13
−14x − 3
−14x + 3
−14x + 13
Answer:
- 14x +3
Step-by-step explanation:
- 5 + 8 6x - 8x- 6x - 8x - 5 + 8- 14x +3hope this helps u. : )
A car is traveling down the street at a constant speed described by the equation d=35t How many miles does the car travel in one hour
Answer:
im assuming D equals miles so id have to say 35
Step-by-step explanation:
helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
square root of 29
Step-by-step explanation:
1. Find the hypotenuse for the right triangles
2. There’s your answer
Hope this helps. Please mark me Brainliest!
Find the sum -82 + (-14)
A scuba diver is 75 feet below sea level. She then ascends 12.7 feet. What is the current depth of the scuba diver?
_____ feet
Answer:
I think it's -62.3 feet
Step-by-step explanation:
So if a scuba diver is 75 feel below sea level that will be -75 feet and if they go up by 12.7 feet that will be -62.3 feet.
Im not quite sure but I hope this helps
3x^2-(4y)^2
When x=5 y=1
Answer: 59
Step-by-step explanation:
subtracting linear expressions 30 points this is 3 more
The linear expressions are subtracted to:
-2x + 17. Option A
-4x - 2. Option B
2x + 6. Option B
What are algebraic expressions?Algebraic expressions are expressions made up of variables, terms, factors, coefficients, and constants.
They are also made up of mathematical operations such as addition, subtraction, multiplication, division, etc.
Given the expression:
A. (4x + 8) - (6x - 9)
expand the bracket
4x + 8 - 6x + 9
collect like terms
-2x + 17
B. (3x - 4) - (7x - 2)
expand the bracket
3x - 4 - 7x + 2
collect like terms
-4x - 2
C. (10x + 2) - (8x - 4)
expand the bracket
10x + 2 - 8x + 4
collect like terms
2x + 6
Thus, the linear expressions are subtracted to -2x + 17, -4x - 2, 2x + 6
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Prove that the quadratic Sequence 44:52:64; 80: will always have even terms
The sequence is will always have even numbers, is hence proved.
Given, the quadratic sequence is: 44:52:64:80
Sequences with a term are known as quadratic sequences. They can be distinguished by the fact that the first differences between terms are not equal but the second differences between terms are. Utilizing the term sum in an arithmetic progression formula, the sum of even numbers formula is achieved. The equation is Sum of Even Numbers Formula = n(n+1), where n is the total number of terms in the series.
The formula is: Tₙ = 2n² ₊ 2n ₊ 40
take 2 common
Tₙ = 2(n² ₊ n ₊ 20)
in other words n² ₊ n ₊ 20 = y
therefore , Tₙ = 2y
which by definition makes Tₙ an even number at all times.
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Elizabeth uses 28 ounces of vinegar to make 4 batches of salad dressing.
What is true about the rate of change for this situation?
Choose the correct answer from the drop-down menu to complete the statement.
Elizabeth used
ounces of vinegar to make 1 batch of salad dressing. Elizabeth used blank ounces of vinegar to make 1 batch of salad dressing
Answer:
7 ounces
Step-by-step explanation:
You divide 28 by 4 which would equal to 7 ounces per batch.
Elizabeth used 7 ounces of vinegar to make 1 batch of salad dressing.
Given that Elizabeth uses 28 ounces of vinegar to make 4 batches of salad dressing.
We need to determine the rate of change for this situation.
To find the number of ounces of vinegar Elizabeth used to make 1 batch of salad dressing, we need to divide the total amount of vinegar (28 ounces) by the number of batches (4).
The rate of change for this situation is the amount of vinegar used per batch.
Let's calculate it:
Vinegar used per batch = Total vinegar used / Number of batches
Vinegar used per batch = 28 ounces / 4 batches
Vinegar used per batch = 7 ounces
So, Elizabeth used 7 ounces of vinegar to make 1 batch of salad dressing.
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Simplify to a single power of 3:
Answer:
5
Step-by-step explanation:
[tex]\frac{3^8}{3^3}=3^{8-3}=3^{\boxed{5}}[/tex]
Answer:
3⁸
3³
(since they have the same numbers , you subtract → divide means subtract → law of indices)
Answer = 3⁸ - 3³
= 3⁵
Mercury is 5.8 x 10^7 km from the sun. Neptune is 4.5 x 10^10 km from the sun. How much further is Neptune from the sun than Mercury?
a
Multiply the distances: (5.8 x 10^7) x (4.5 x 10^10) = (5.8 x 4.5) x (10^17) = 26.1 x 10^17 = 2.61 x 10^16
b
Divide the distances: (4.5 x 10^10) / (5.8 x 10^7) = .76 x 10^3 = 7.6 x 10^2
c
Add the distances together: (5.8 x 10^7) + (4.5 x 10^10) = 10.3 x 10^17 = 1.03 x 10^18 km
d
Subtract the distances by getting the same power of 10: (4.5 x 10^10) - (5.8 x 10^7) = (4.5 x 10^10) - (.0058 x 10^10) = 44.99 x 10^10 km
Neptune is 7. 76 × 10^2 times farther than Mercury from the sun. Option B
What is ratio?A ratio can be defined as the comparison of two or more number indicating their sizes in relation to each other.
It also explains how any times a number contains another.
From the information given, we have;
Mercury is 5.8 x 10^7 km from the sun.Neptune is 4.5 x 10^10 km from the sunTo determine the distance Neptune is from the sum than Mercury, we divide the distance for Neptune by that of Mercury
= 4.5 x 10^10/ 5.8 x 10^7
= 776. 86
Turn into scientific notation
= 7. 76 × 10^2
Thus, Neptune is 7. 76 × 10^2 times farther than Mercury from the sun. Option B
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Reynard and his friends visited an orchard on Sunday. They picked 12.34 pounds of apples and
9.56 pounds of bluberries. How much did the fruits weigh in all?
on Practice Describe each of the following events as impossible, unlikely, as likely as not, likely, or certain.
a. Gavin rolls an even number on a number cube.
Using probability we can say that the event that Gavin rolls an even number on a number cube is as likely as not.
Probability is the study of chance. The likely chance that an event can occur in a random experiment written as a fraction is called probability.
Probability of a event is calculated as the ratio of the favorable outcomes of an event to all the possible outcomes of the event.
Given as experiment: A number cube is rolled by Gavin.
Event : An even number comes up on the face of the cube.
Favorable outcomes : {2,4,6} = 3 outcomes
Total outcomes or sample space: {1,2,3,4,5,6} = 6 outcomes
Probability that an even number comes up:3/6=1/2
Probability that an even number does not come up=1-1/2=1/2
From the above probabilities we see that :
P(even)=P(not even)=1/2
Hence the Gavin rolls an even number is as likely as not likely.
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Use the given equation to complete the table. Use the table to list of the ordered pairs that satisfy the equation. y=5x
Answer:
x = -1
y = -5
(x,y) = (-1,-5)
x = 0
y = 0
(x,y) = (0,0)
x = 1
y = 5
(x,y) = (1,5)
Step-by-step explanation:
y = 5(-1)
y = 5*-1
y = -5
y = 5(0)
y = 5*0
y = 0
y = 5(1)
y = 5*1
y = 5
86-30
86-4
86-34
pls help
Answer:
86-30=56
86-4=82
86-34=52
Step-by-step explanation:
Write in terms of i. Simplify your answer as much as possible. ✓-6
The expression in terms of i is mathematically given as
x=√6*i
A complex number is a component of a number system that extends the real numbers by adding a specific element denoted I also known as the imaginary unit, and satisfying the equation i2 = 1;
Every complex number can be expressed in the format a + bi, where a and b are real numbers. In other words, a complex number is a number that contains both real and imaginary components.
Generally, the equation for the expression is mathematically given as
x=√-6
Where
i=√-1
Therefore
x= √6 *√-1
x=√6*i
In conclusion, The expression in terms of i is
x=√6*i
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True or false?
It is possible for one person's weight to be 500% more than another person's weight.
Answer:
it's true because
pls help i gtg in 3 mins
28
Step-by-step explanation:
Given,
No. of cameras that Gretta has : 103
No. of Cameras she misplaced : 75
1 full box contains 1 camera each
No. of full boxes that she can ship:
= No. of Cameras she has - no. of cameras she misplaced.
= 103-75
= 28
Therefore, the no. of full boxes that Gretta can ship is 28.