Step-by-step explanation:
Let the first multiple of 4 be x and second multiple be (x + 4) and third multiple be (x + 8) ...[Since, the number are consecutive multiple of 4]
☯ [tex]\underline{\boldsymbol{According\: to \:the\: Question\:now :}}\\[/tex]
[tex]:\implies \sf x \: + \: x \: + \: 4 \: + \: x \: + \: 8 \: = \: 444 \\ \\ \\ [/tex]
[tex]:\implies \sf 3x \: + \: 12 \: = \: 444 \\ \\ \\ [/tex]
[tex]:\implies \sf 3x \: = \: 444 \: - \: 12 \\ \\ \\ [/tex]
[tex]:\implies \sf 3x \: = \: 432 \\ \\ \\ [/tex]
[tex]:\implies \sf x \: = \: \dfrac{432}{3} \\ \\ \\ [/tex]
[tex]:\implies\underline{ \boxed{\sf x \: = \: 144}} \\ [/tex]
_________________Therefore,[tex]\bullet\:\:\textsf{First multiple of 4 = x = \textbf{144}} \\ [/tex]
[tex]\bullet\:\:\textsf{Second multiple of 4 = x + 4 = 144 + 4 = \textbf{148}} \\ [/tex]
[tex]\bullet\:\:\textsf{Third multiple of 4 = x + 8 = 144 + 8 = \textbf{152}}[/tex]
3a − 2a + 4 = 16 Solve for a.
Answer:
a=12
Step-by-step explanation:
[tex]3a-2a+4=16\\\\(3a-2a)+4=16\\\\(3-2)a+4=16\\\\1a+4=16\\\\a+4-4=16-4\\\\a=12[/tex]
(a) Find and identify the traces of the quadric surface x2 + y2 − z2 = 81 given the plane. x = k Find the trace.
Answer:
Hyperbola
Step-by-step explanation:
Consider [tex]x=k.[/tex]
Substitute [tex]x=k[/tex] in given equation [tex]x^2+y^2-z^2=81[/tex]
[tex]k^2+y^2-z^2=81[/tex]
[tex]\Rightarrow y^2-z^2=9^2-k^2[/tex]
[tex]\Rightarrow y^2-z^2=(9-k)(9+k)[/tex]
Here, different orientation for [tex]-9<k<9[/tex] then [tex]-9<k[/tex] or [tex]k<9.[/tex]
Hence, the surface equation represents a trace of the hyperbola.
What part of 15 is 10?
Answer:
2/3
Step-by-step explanation:
10/15=2/3
The 10 is 2/3 part of 15 by dividing common factor that is 5.
What is simplest form ?
In mathematics, the simplest form is the fraction that has the smallest equivalent value.
Here, the given fraction is :
10/15 which when converting to smallest equivalent value by dividing common factor that is 5 :
10/15 = 2/3
Therefore, the 10 is 2/3 part of 15.
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solve the equation
what does x equal to
46+x÷6−21=25+6
Answer:
×=36
Step-by-step explanation:
46+1/6X-21=31
25+1/6X=31
1/6X=31-25
1/6X=6
X=36
how do you know if an number composite or not
Answer:
A prime number has only two factors: 1 and itself. A composite number has more than two factors
Step-by-step explanation:
Can i have a thanks?
Need help on this question please
===========================================================
Explanation:
Check out the diagram below. I've added in the label (4x+13) degrees to the angle adjacent to the (9x-2) degree angle. This is valid due to corresponding angles being congruent when we have parallel lines like this.
The two angles form a 180 degree straight angle
(4x+13) + (9x-2) = 180
4x+13 + 9x-2 = 180
(4x+9x) + (13-2) = 180
13x + 11 = 180
13x+11-11 = 180-11 .... subtracting 11 from both sides
13x = 169
13x/13 = 169/13 .... dividing both sides by 13
x = 13
We can verify this by noticing that
4x+13 = 4*13+13 = 65
9x-2 = 9*13-2 = 115
So, (4x+13)+(9x-2) = (65)+(115) = 180, showing the two angles are supplementary.
-----------------
The angles (9x-2) and (6y-1) are also a linear pair. They are adjacent and supplementary
Let's use x = 13 to find the value of y
(9x-2) + (6y-1) = 180
9x-2+6y-1 = 180
9x+6y-3 = 180
9*13+6y-3 = 180 .... plug in x = 13
117+6y-3 = 180
6y+114 = 180
6y+114-114 = 180-114 .... subtract 114 from both sides
6y = 66
6y/6 = 66/6 ...... divide both sides by 6
y = 11
To help confirm,
6y-1 = 6*11-1 = 65
which adds onto the (9x-2) = 115 degree angle to get 180.
-----------
Side note: as an alternative, you can solve 4x+13 = 6y-1 to get the same y value. This is because alternate exterior angles are congruent when we have parallel lines like this.
your cell phone plans costs$34.99 per month plus $0.11 for each text message you send or receive you have at most $40 to spend on your cell phone bill what is the maximum number of text messages that you can send or receive next month ?
The maximum number of text messages that you can send or receive next month Next month, you can send or receive up to 45.54 text messages in total.
What is maximum in mathematics?In mathematics, a point at which a function's value is greatest. If the value is greater than or equal to all other function values, it is an absolute maximum. If it is merely greater than any nearby point, it is a relative, or local, maximum
Considering the information provided;
Given that the monthly expense is $34.99
and $0.11 for each text as well (sent or received)
Suppose y is the whole cost.
Set x as the quantity of text.
The test messages make up the difference between the cost of the plan and the $40 you must spend, which is represented by the equation
4034.99=5.01
in the model for the overall cost,
y=34.99+0.11x.
Count the number of messages you can send, you must divide.
5.01÷0.11
=45.54
The maximum number of messages is 45
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is (t+ 2)^2-4t binomial
Answer:
I thinks so
Step-by-step explanation:
Choose the option that best completes the sentence.
The amount of energy it takes to lift a box might be a function of:
O A. the weight of the things inside the box.
O B. where the box was shipped from.
O c. the day of the week the box is being lifted.
D. the color of the box.
The correct sentence will be;
⇒ The weight of the things inside the box.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The sentence is,
''The amount of energy it takes to lift a box might be a function of;''
Now,
Since, The sentence is,
''The amount of energy it takes to lift a box might be a function of;''
We know that;
The amount of energy it takes to lift a box might be a function of the weight of the things inside the box.
Thus, The correct sentence is;
⇒ The weight of the things inside the box.
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Explain what is wrong with the following (3 - 5)(4) = 3(4) - 5
Answer:
the equation does not proove
Step-by-step explanation:
l.h.s
(3-5)(4)
12-20
-8
r.h.s
3(4)-5
12-5
7
therefore, l.h.s is not equal to r.h.s so the equation is wrong
Solve the following function. Show all work.
If g(x) = – 3x + 2, find g(–4).
Please help with this problem. Thanks.
Answer:
Acute, angle C = 13
Step-by-step explanation:
replace x with 9
multiply 12(9) = 108
subtract 108 -17 = 91
divide 91 by 7 = 13
[tex]m[/tex]∠[tex]C=13[/tex] so its acute
Choose the best description of the following number 18
Answer:
4.243
step by step explanation:
Find the perimeter P of ▱JKLM with vertices J(−3,−2), K(−5,−5), L(1,−5), and M(3,−2). Round your answer to the nearest tenth, if necessary.
Given:
Vertices of JKLM are J(−3,−2), K(−5,−5), L(1,−5), and M(3,−2).
To find:
The perimeter P of a parallelogram JKLM.
Solution:
Distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using distance formula, we get
[tex]JK=\sqrt{\left(-5-\left(-3\right)\right)^2+\left(-5-\left(-2\right)\right)^2}[/tex]
[tex]JK=\sqrt{\left(-5+3\right)^2+\left(-5+2\right)^2}[/tex]
[tex]JK=\sqrt{\left(-2\right)^2+\left(-3\right)^2}[/tex]
[tex]JK=\sqrt{4+9}[/tex]
[tex]JK=\sqrt{13}[/tex]
Similarly,
[tex]KL=\sqrt{\left(1-\left(-5\right)\right)^2+\left(-5-\left(-5\right)\right)^2}=6[/tex]
[tex]LM=\sqrt{\left(3-1\right)^2+\left(-2-\left(-5\right)\right)^2}=\sqrt{13}[/tex]
[tex]JM=\sqrt{\left(3-\left(-3\right)\right)^2+\left(-2-\left(-2\right)\right)^2}=6[/tex]
Now, perimeter P of ▱JKLM is
[tex]P=JK+KL+LM+JM[/tex]
[tex]P=\sqrt{13}+6+\sqrt{13}+6[/tex]
[tex]P=2\sqrt{13}+12[/tex]
[tex]P=2(3.61)+12[/tex]
[tex]P=7.22+12[/tex]
[tex]P=19.22[/tex]
[tex]P\approx 19.2[/tex]
Therefore, the perimeter P of ▱JKLM is 19.2 units.
Hamburgers come in packs of 20, while buns come in packs of 12 what is the least number of packs you should buy in order to have the same numbers of hamburgers and buns?
What number is 10th times as much as 17.1
Answer: 170
Step-by-step explanation:
you move the decimal to the right one time.
Can someone help me with this question?
Answer:
6×2/5 --> greater than 1
1×3/8 --> less than 1
4×1/4 --> equal to 1
5×3/4 --> greater than 1
2×1/2 --> equal to 1
3×1/3 --> equal to 1
Step-by-step explanation:
6×2/5 = 12/5 = 2 2/5
1×3/8 = 3/8
4×1/4 = 1
5×3/4 = 23/4 = 5 3/4
2×1/2 = 1
3×1/3 = 1
The temperature at 2:00 pm is 27 degrees. At 2:00 am the temperature has fallen to -4 degrees. What is the difference in temperature from 2:00 pm to 2:00 am?
Answer:
The difference in temperature = 27-(-4)=31 degree
Step-by-step explanation:
What triangle is a 8cm triangle
Answer:
equilateral triangle.
If (7^ 0)=1what are the possible values of x
Answer: I would say that any number
Step-by-step explanation:
I think so because any number to the 0 power is going to be 1.
For example: 6^0=1 21^0=1
Hope it helped!! ;)
Solve for g.
C=1/2gq
Answer:
[tex] g = \frac{2c}{q}[/tex]
Step-by-step explanation:
[tex]c = \frac{1}{2} gq \\ 2c = gq \\ \huge \red{ \boxed{ g = \frac{2c}{q} }}[/tex]
Answer:
g = 2C/q
Step-by-step explanation:
C * (2) = 1/2gq * (2)
2C / q= gq / q
2C/q = g
Jeri drew the following model to represent the fraction 2/3. What's wrong with her model? had to redo it
Answer:
It is not an equal diagram it is showing 1/2 instead of 2/3
Step-by-step explanation:
HOPE THIS HELPS!!! (mark brainliest)
The model is incorrect because 2/3 represents the 2 parts of 3 whole and the model is not representing 2/3.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
The model is representing 2/3.
As we can see in the picture the model is not representing 2/3 because 2/3 means 2 parts of 3 whole.
It is not an equal diagram it is showing 1/2 instead of 2/3
Thus, the model is incorrect because 2/3 represents the 2 parts of 3 whole and the model is not representing 2/3.
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help me asap!!!!!!!!?!??
Answer:
9.225 x 10^18 is what it is in standard form
Step-by-step explanation:
Answer:
ummm, it should be 9,225,000,000,000,000,000. =D
Step-by-step explanation:
move the decimal at the end of my answer, over to the left 18 spaces, and it should end up back at 9.225!
solve for z: 11=6|-2z| -5
Answer:
the roots are {-4/3, 4/3}
Step-by-step explanation:
Begin the solution of 11=6|-2z| -5 by adding 5 to both sides:
11=6|-2z| -5 becomes 16 = 6|-2z|.
Dividing both sides by 12 yields
16/12 = |-z|
There are two cases here: first, that one in which z is positive and second the one in which z is negative.
If z is positive, 4/3 = -z, and so z = -4/3, and:
If z is negative, 4/3 = z
Thus the roots are {-4/3, 4/3}
In matrix T, what is the value of element t13?
Time spent making phone calls
Rows represent the person calling
Columns represent the person called
Answer:
7
Step-by-step explanation:
In matrix T, the value of t₁₃ will be 7.
What is Matrix?A set of numbers arranged in rows and columns so as to form a rectangular array. The numbers are called the elements, or entries, of the matrix.
We have to given that;
The matrix T is shown.
We know that;
In any matrix,
⇒ The element a₁₁ shows the position of a₁₁ is in first row and first column.
Thus, The element t₁₃ shows the position of t₁₃ is in first row and third column.
So, In matrix T,
⇒ t₁₃ = 7
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help me please this is late
To find explicit formulas, you need two things. The common difference and the first term.
For example, #18
The first term = -15
The common difference = -20 -(-15) = -20 + 15 = -5
y = A + B(n - 1)
A = our first term
B = our common difference
n = the term you want to find in the sequence.
Leta plug our numbers in from #18
y = -15 + -5(n - 1)
Let's find the 4th term in the sequence.
y = -15 + -5(4 - 1)
y = -15 + -5(3)
y = -15 + -15
y = -30
Six more than the product of three and a number
Answer:
6+3x
Step-by-step explanation:
A number will be given the variable x
So:
6+(3x)Answer:
3x + 6.
Step-by-step explanation:
The number is x.
If you get this you are a critical thinker. I enter the garden. There are 34 people. You kill 30. How many people are in the garden. Good luck! If you get it correct your answer will be deleted and l will message you to continue the game.
Answer:
34
Step-by-step explanation:
Answer:
5 people wil be left there as you werw also there.
Solve by completing the square x^2+6x+13=0
Answer:
x = -3 + 2 i or x = -3 - 2 i
Step-by-step explanation:
Solve for x:
x^2 + 6 x + 13 = 0
Hint: | Solve the quadratic equation by completing the square.
Subtract 13 from both sides:
x^2 + 6 x = -13
Hint: | Take one half of the coefficient of x and square it, then add it to both sides.
Add 9 to both sides:
x^2 + 6 x + 9 = -4
Hint: | Factor the left hand side.
Write the left hand side as a square:
(x + 3)^2 = -4
Hint: | Eliminate the exponent on the left hand side.
Take the square root of both sides:
x + 3 = 2 i or x + 3 = -2 i
Hint: | Look at the first equation: Solve for x.
Subtract 3 from both sides:
x = -3 + 2 i or x + 3 = -2 i
Hint: | Look at the second equation: Solve for x.
Subtract 3 from both sides:
Answer: x = -3 + 2 i or x = -3 - 2 i
Simplify the expression: 8(5+5v)+5v
Answer:
40+45v
Step-by-step explanation:
first you distribute 8 to 5 and 5v which gets you 40+40v+5v
then you add the like terms which gets you 40+45v