Answer: 43.47
Step-by-step explanation:
PLS HELP FIRST TO ANSWER Gets BRAINLEST
A number cube was rolled 70 times. The cube is numbered 1-6. How many times would you expect an even number to be rolled.
Answer:
You would expect an even number to be rolled 35/70 times.
Step-by-step explanation:
Half of a dice is even numbers and half of 70 is 35.
Enter the number that belongs in the green box
Check the picture below.
\(\textit{Law of Cosines}\\\\ \cfrac{a^2+b^2-c^2}{2ab}=\cos(C)\implies \cos^{-1}\left(\cfrac{a^2+b^2-c^2}{2ab}\right)=\measuredangle C \\\\[-0.35em] ~\dotfill\\\\ \cos^{-1}\left(\cfrac{10^2+4^2-7^2}{2(10)(4)}\right)=\measuredangle A \implies \cos^{-1}\left(\cfrac{ 67 }{ 80 }\right)=\measuredangle A \\\\\\ \cos^{-1}(0.8375) = \measuredangle A \implies 33.12^o \approx \measuredangle A\)
Make sure your calculator is in Degree mode.
Desperate Need Of Help
The domain and range of the graph above in interval notation include the following:
Domain = [-6, 3]
Range = [-3, 3]
What is a domain?In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.
In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.
By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:
Domain = [-6, 3] or -6 ≤ x < 3.
Range = [-3, 3] or -3 < y < 3
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Question
A watermelon is assumed to be spherical in shape while it is growing. Its mass, M kg, and radius, rcm, are related by the formula M = kr³, where k is a constant. It is also assumed that the radius is increasing at a constant rate of 0.1 centimetres per day. On a particular day the radius is 10 cm and
the mass is 3.2 kg. Find the value of k and the rate at which the mass is increasing on this day.
Thus, the mass is increasing at a rate of 0.15625 kg per hour, and the mass on this day is 4.5 kg.
Let's consider a general formula for finding the rate of increase:Rate of increase = k x original valueHere, k is a constant that represents the rate of increase per unit of time, and the original value is the initial value of the quantity being measured.
For example, if the original value is 3.2 kg and the rate of increase is 0.5 kg per hour, we can use the formula to calculate the mass at any time t as follows: Mass at
time t = 3.2 + (0.5 x t)
where t is the time elapsed in hours.In order to find k, we need to know the rate of increase and the original value.
Once we have these values, we can rearrange the formula to solve for
k:k = rate of increase / original value
For example, if the mass is increasing at a rate of 0.5 kg per hour and the original value is 3.2 kg, we can calculate k as follows:
k = 0.5 / 3.2k = 0.15625
To find the rate of increase on a specific day, we need to know how much time has elapsed since the original value was measured. Once we have this information, we can plug it into the formula we derived earlier:Mass at time t = 3.2 + (k x t)For example, if 8 hours have elapsed since the original value was measured, we can calculate the mass on that day as follows:
Mass at time t = 3.2 + (0.15625 x 8)
Mass at time t = 4.5 kg
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The interquartile range of this data set
Answer:
IQR = Q3-Q1
=30-10
=20
Interquartile range = Quartile3-Q1
= 30 - 10
= 20
Daisy cream is sold in a bulk of 76 cups of cream. Kremlin cream is sold in a bulk of 4 1/2 gallons of cream. Marble cream is sold in a bulk of 40 pints of cream. Which one has the most cream?
Therefore , the solution of the given problem of unitary method comes out to be Daisy cream and Kremlin cream both have less cream per bulk 1 gallon and 4.5 gallons, respectively than Marble cream.
An unitary method is what?The objective can be accomplished by utilising what has already been discovered, taking advantage of this worldwide access, and including all essential components from earlier changeable study who employed a certain technique. If the anticipated claim outcome actually occurs, it will either be possible to contact the variable again or both important processes will undoubtedly miss the statement.
Here,
We must convert cups to gallons because daisy cream is sold in bulks of cups. Since a gallon of Daisy cream comprises 16 cups, one quantity of Daisy cream contains:
=> 16 cups per bulk = 1 gallon 16 cups per bulk = 1 gallon
Moscow cream is offered in bulk quantities of 4 1/2 gallons, which is one gallon.
Thus, we must convert pints to gallons. A gallon of Marble cream comprises eight pints, hence one quantity of Marble cream contains:
=> 40 pints in a bulk equal 1 gallon, 8 pints, or 5 gallons.
As a result, we can see that Marble cream, with 5 gallons per bulk, has the most cream.
Daisy cream and Kremlin cream both have less cream per bulk (1 gallon and 4.5 gallons, respectively) than Marble cream.
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H(p)=p/5 + 15
What is the independent variable in this function
In the given function H(p) = p/5 + 15, the independent variable is "p" ,
The independent variable in this function is denoted by "p." The independent variable can also be referred to as the input variable, which means that it is the value that is inputted into the function to produce an output. In this specific function, "p" represents the price of a good or service.
It is important to distinguish between the independent and dependent variables in a function. The dependent variable is denoted by "H(p)" in this case, and it is the output of the function. The value of the dependent variable is determined by the independent variable. In this function, "H(p)" represents the total cost of the good or service, which is dependent on the price "p." p is the input variable representing the price of the good or service.
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5. 5(x + 10) + x
A. 6x + 15
B.5x + 15
C.6x + 50
D.4x – 50
Answer: C
Step-by-step explanation:
Calculate the height of the pole
Step-by-step explanation:
See image
y = -1/5(x - 1)3 + 7
Answer:
x = 3 √ 7 + 12 or x = 13.91293118
Step-by-step explanation:
Set ( x − 12 ) 3 − 7 , equal to 0 . ( x − 12 ) 3 − 7 = 0 , Solve for x .
x = 3 √7 + 12
The result can be shown in multiple forms.
Exact Form: x = 3 √ 7 + 12
Decimal Form: x = 13.91293118 …
Please help me quick
The product of the ages 2 years from today is 924
System of equationLet the ages of the three cousins be x, y and z. If the product of their ages is 1716, hence;
xyz = 1716
If the product of their ages last year is 1320, then;
(x-1)(y-1)(z-1) = 1320
Two years ago, the product of their ages will be;
(x-2)(y-2)(z-2) = 1320- (1716-1320)
(x-2)(y-2)(z-2) = 1320-396
(x-2)(y-2)(z-2) =924
Hence the product of the ages 2 years from today is 924
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A coffee shop served 24 people before 7 am. Two-thirds had regular coffee, one third had decaf, and the remaining ordered a specialty coffee. How many customers ordered a specialty coffee?
Answer:
20
Step-by-step explanation:
4/5 • 5/4 = 1 Determine the property illustrated.
The algebraic property illustrated is the commutative property of multiplication
What are the properties of algebra?
The properties of algebra are those properties mostly used in simplifying algebraic expressions.
Algebraic properties are:
Commutative property of additionCommutative property of multiplicationAssociative property of additionAssociative property of multiplicationDistributive Properties of Addition Over MultiplicationFrom the expression given we have
4/5 • 5/4 = 1
= 4/ 5 × 5/ 4
= 1
Thus, the algebraic property illustrated is the commutative property of multiplication
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Adjust the recipe in the chart below. If the answer is a fraction then enter it like this example: ex. 1/2 If it is a mixed fraction like 1 1/2 c then type a space between the whole number and the fraction.
Do not enter decimals, only use whole numbers and/or fractions.
Answer:
Ingredient | 4 servings | 2 servings | 8 servings
-------------------------------------------------------------------
flour (c) | 1 | 1/2 | 2
sugar (c) | 3/4 | 3/8 | 3/2
butter (T) | 1 | 1/2 | 2
salt (t) | 1/4 | 1/8 | 1/2
Step-by-step explanation:
4 servings:
1 c flour
3/4 c sugar
1 T butter
1/4 t salt
2 serving = 4 servings / 2 =
1 c flour/2 = 1/2 c flour
3/4 c sugar/2 = 3/8 c sugar
1 T butter/2 = 1/2 T butter
1/4 t salt/2 = 1/8 t salt
8 servings = 4 servings * 2 =
1 c flour * 2 = 2 c flour
3/4 c sugar * 2 = (3*2)/4 = 3/2 c sugar
1 T butter * 2 = 2 T butter
1/4 t salt * 2 = 2/4 = 1/2 t salt
Table:
Ingredient | 4 servings | 2 servings | 8 servings
-------------------------------------------------------------------
flour (c) | 1 | 1/2 | 2
sugar (c) | 3/4 | 3/8 | 3/2
butter (T) | 1 | 1/2 | 2
salt (t) | 1/4 | 1/8 | 1/2
Rewrite the equation by completing the square.
4x² + 20r + 25 = 0
(x+...)^2=...
Answer:
The equation \(4\cdot x^{2} + 20\cdot x + 25 = 0\) is equal to \(\left(x + \frac{5}{2} \right)^{2} = 0\).
Step-by-step explanation:
Let be the equation \(4\cdot x^{2} + 20\cdot x + 25 = 0\), we proceed to rewrite the equation solely by algebraic means:
1) \(4\cdot x^{2} + 20\cdot x + 25 = 0\) Given
2) \((2\cdot x)^{2} + 10\cdot (2\cdot x) + 25 = 0\) Definition of power/Associative property
3) \((2\cdot x + 5)^{2} = 0\) Perfect square trinomial
4) \(2^{2}\cdot \left(x + \frac{5}{2} \right)^{2} = 0\) Distributive property/\((a\cdot b)^{c} = a^{c}\cdot b^{c}\)
5) \(4\cdot (x + \frac{5}{2} )^{2} = 0\) Definition of power
6) \(\left(x + \frac{5}{2} \right)^{2} = 0\) Compatibility with multiplication/Commutative and modulative properties/\(a\cdot 0 = 0\)
if 4/7 of students prefer cereal for breakfest how many pefer ceareal out of 147 students
Answer:
84
Step-by-step explanation:
ez
4/7 of 147 = 4/7 x 147/1
31-+=16
28+b=50
33+c=54
52-n+=24
The solution to the equations are b = 15, b = 22, c = 21 and n = 28
How to determine the solution to the equationsFrom the question, we have the following equations that can be used in our computation:
31 - b = 16
28 + b = 50
33 + c = 54
52 - n = 24
Next, we collect the like terms in each of the equation
This gives
b = 31 - 16
b = 50 - 28
c = 54 - 33
n = 52 - 24
Lastly, we evaluate the like terms
b = 15
b = 22
c = 21
n = 28
The above are the solutions to the equations
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Question
Solve the following equations:
31 - b = 16
28 + b = 50
33 + c = 54
52 - n = 24
i need help on these
Answer:
12
Step-by-step explanation:
This is a "absolute value"
We use this to make a number or the result of an equation positive.
Example: |2 - 8| = |-6| = 6
You solve the equation first and then turn it positive, if the number is positive, just remains de same.
In your case, it is just a negative number, you just have to turn it positive.
|-12| = 12
It is simple.
Which which book did Khaptad swami written?
Step-by-step explanation:
The Science of Thought is the book
Which graph represents 12 = 3x + 4y line a, line b, line c
Answer:
green line or "b"
Step-by-step explanation:
we can set this up into the slope intercept form
y=mx+b
where m is the slope and b is y intercept
12=3x+4y
-3x -3x
-3x+12=4y
/4. /4. /4
-3/4x+3=y
we can see the only line with a negative slope and a y intercept at 3 is the green line or "b"
hopes this helps please mark rainliest
Write the equation of the line, in slope intercept form, through the following two points.
Answer:
y=\(\frac{5}{8}x\)
Step-by-step explanation:
So in this equation you have to do this with the points to get the slope
M= \(\frac{y2-y1}{x2-x1}\)
M is the slope so using this eqaution will give you the equation.
The product of 9 and 4 is divided by 6 .Make mathematical expressions and simplify
Answer:
The answer is 6
Step-by-step explanation:
9×4/6
=36/6
=6.
Which equation below describes the hanger?
12 = y - 2
12 = y/2
12 = y + 2
12 = 2 * y
9514 1404 393
Answer:
D. 12 = 2 * y
Step-by-step explanation:
On one side is 12.
On the other side is y + y = 2y.
This sort of "hanger" represents the equation that sets one side equal to the other:
12 = 2y
Please help A mistake was made in the steps shown to simplify the expression. Which step includes the mistake?
Answer:
B.
Step-by-step explanation:
Hello
step 5 is wrong
because 2 + 10/2
\(2+\dfrac{10}{2}=\dfrac{4}{2}+\dfrac{10}{2}=\dfrac{14}{2}\)
is different from (2+10)/2
\(\dfrac{2+10}{2}=\dfrac{12}{2}\)
as there is no parentheses you have the follow the correct priorities
division first, do 10/2=5 and then the addition 5 + 2 = 7
hope this helps
Answer:
Step 5 is incorrect
Step-by-step explanation:
You dont have to solve this to figure it out.
Remember the Order of Operations:
1. Parenthesis
2. Exponents
3. Multiplication & Division
4. Addition & subtraction
You can see that in step 5, they added instead of divided.
It should have gone from 2 + 10 / 2 -----> 2+ 5. And then its a different final solution as well.
Hope this helps! If not, comment on it and let me know about my error. Have a great day!!
Which ordered pair solves this linear system?
Y= -x
Y= 2x
The ordered pair that solves the system of equation is (0, 0).
To solve this system, we can substitute the first equation into the second equation to eliminate y:
x = 2x
Solving for x, we get x = 0.
Substituting x = 0 into the first equation, we get y = 0.
Therefore, the ordered pair that solves the system is (0, 0).
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Factor completely a^2− 7a + 10
Answer:
(a - 2) • (a - 5)
Step-by-step explanation:
a^2 - 2a - 5a +10
a • a(a - 2) - 5a + 10
(a - 2) • (a - 5)
The physician’s order reads to administer Lasix 80 mg PO STAT. You have Lasix 20 mg tablets on hand. How many tablets will you administer to the patient ?
The nurse should administer 4 Lasix 20 mg tablets to the patient to achieve the prescribed dose of 80 mg.
To determine the number of Lasix 20 mg tablets that should be administered to the patient, we need to calculate how many tablets are equivalent to the prescribed dose of 80 mg.
Given that each Lasix tablet contains 20 mg of the medication, we can divide the prescribed dose (80 mg) by the dosage strength of each tablet (20 mg) to find the number of tablets needed.
Number of tablets = Prescribed dose / Dosage strength per tablet
Number of tablets = 80 mg / 20 mg
Number of tablets = 4 tablets
Therefore, the nurse should administer 4 Lasix 20 mg tablets to the patient to achieve the prescribed dose of 80 mg.
It is important to note that this calculation assumes that the Lasix tablets can be divided or split if necessary. However, it is crucial to follow the specific instructions provided by the prescribing physician or consult with a pharmacist if there are any concerns about the appropriate administration of the medication.
Additionally, it is important to consider any additional instructions, such as the frequency and timing of administration, as specified by the physician's order.
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Solve for x
-22.3=x/3 -3.1
Answer:
-57.6=x
Step-by-step explanation:
-22.3= x/3-3.1
-19.2=x/3
-57.6=x
Nena is going to ride her bicycle from the
city park to a nearby lake, a distance of
49 miles. She will ride at an average rate
of 14 miles per hour. What is the latest
Nena can leave the park in order to
arrive at the lake at 1:00 PM?
8:30 AM
9:00 AM
9:30 AM
D
10:00 AM
E 10:30 AM
A
B
C
Answer:
To solve this problem, we need to use the concept of distance, rate and time (D = R x T)
We know that the distance is 49 miles and the rate is 14 miles per hour.
We want to find the time T.
We can use the formula D = R x T, to find the time T:
T = D/R = 49 miles / 14 miles/hour = 3.5 hours
So it takes Nena 3.5 hours to ride from the city park to the nearby lake.
Now we know that she needs to arrive at the lake at 1:00 PM, so we have to work out what time she needs to leave the park. We can subtract the time T from the arrival time to find the departure time:
1:00 PM - 3.5 hours = 9:30 AM
Therefore, the latest Nena can leave the park in order to arrive at the lake at 1:00 PM is 9:30 AM
1c. Use your answer to part a to find the roots of the expression. Select all
that apply. *
1. x3 – 5x2 – 48x + 252 = 0