Answer:
[tex]\displaystyle [-1, 2][/tex]
Step-by-step explanation:
[tex]\displaystyle -2x + [1 - x] = 4 → 4 = 1 - 3x → \frac{3}{3} = \frac{-3x}{3}; -1 = x, 2 = y \\ \\ [-1, 2][/tex]
I am joyous to assist you at any time.
How many million bacteria were in the dish at 9 a.mt
Answer:it depends what was on it but i would say about 500
Step-by-step explanation:
Please help quickly!
Answer:
Step-by-step explanation:
Stop doing it
Triangle ABC is similar to triangle PQR, as shown below:
Two similar triangles ABC and PQR are shown. Triangle ABC has sides AB equals c, BC equals a, and AC equals b. Triangle PQR has sides PQ equals r, QR equals p, and PR equals q. Angle CAB is congruent to angle RPQ. Angle ABC is congruent to angle RQP. Angle ACB is congruent to angle QRP.
Which equation is correct?
q over c is equal to r over b
c over p is equal to b over a
c over a is equal to q over r
q over b is equal to r over c
Answer:
q/b = r/c
Step-by-step explanation:
We can determine which equation is correct by looking at the similar angles
A ~ P and B ~ Q so the side length that is between these angles would be proportional which are :
r/c
Next up
C ~ R and again B ~ Q and the side length that is between these angles:
q/b
so the answer is
q/b = r/c as given in last option
Answer: a/b=r/c
Step-by-step explanation: i did the
A pair of equations is shown below.
x + y = 2
y = one halfx + 5
If the two equations are graphed, at what point do the lines representing the two equations intersect?
Answer:
(-2,4)
Step-by-step explanation:
From qsn
x + y = 2
or, x = 2-y .... (i)
And,
y = (x/2) + 5 (one half x)
or 2y = x + 10
or x = 2y - 10 .... (ii)
From eqn i and ii we get
2-y = 2y-10
or 12 = 3y
or y = 4
putting the value of y in eqn (i) we get
x = 2-4
or, x = -2
please I can't understand this question ⁉️
please help
Answer:
gauth math
got it perfect answer
An unknown metal having a mass of 287.8 g was added to a graduated cylinder that contained
31.47 mL of water. After the addition of the metal, the water level rose to 58.85 mL. Determine
the volume of the metal. Calculate the density of the metal using dimensional analysis.
The metal displaced a volume of
58.85 mL - 31.47 mL = 27.38 mL = 27.38 cm³
of water, which is to say the metal has this volume.
If the metal has a mass of 287.8 g, then its density is its mass per unit volume,
(287.8 g)/(27.38 cm³) ≈ 10.51 g/cm³
please help!!! the question is in the picture above— this is geometry
Use the co‐interior rule, corresponding angle rule, alternate angle rule and vertical opposite angle rule to solve the question above.
angle G5 = angle K1 reason : corresponding angles
angle J1 = angle H3 reason: vertical opposite angles
angle J2 = angle K4 reason: vertical opposite angles
angle G5 = angle K4 reason: co‐ interior angles
angle F6 = angle K4 reason: alternate angle
It's geometry I need help
Answer:
39
Step-by-step explanation:
G is the midpoint of the line FH, FH=2*GH. 9x+15=10x+8, x=7, FG=39
The expression 2-3i/4+2i
is equivalent to
Answer:
[tex] \frac{2 - 3i}{4 + 2i} = \frac{1 - 8i}{10} [/tex]
Step-by-step explanation:
To simplify an expression like this, we multiply top and ottom of the fraction (denominator and numerator) by the complex conjugate of the bottom (numerator). For a complex expression (a+bi), the complex conjugate is (a−bi). When we do the calculation, it will become clear why this works so well.
Note that (a−bi)/(a−bi) is just the same as 1, so when we do this multiplication the result is the same number we started with.
[tex] \frac{2 - 3i}{4 + 2i} = \frac{2 - 3i}{4 + 2i} \times \frac{4 - 2i}{4 - 2i } \\ = \frac{8 - 12i - 4i + 6 {i}^{2} }{16 + 8i - 8i - 4 {i}^{2} } \\ = \frac{8 - 16i + 6 {i}^{2} }{16 - 4 {i}^{2} } [/tex]
But
[tex] i = \sqrt{ - 1} \: so \: {i}^{2} = - 1 [/tex]
Using this and collecting like terms, we have:
[tex]\frac{8 - 16i + (6 \times - 1) }{16 - 4 ( - 1) } = \frac{2 - 16i}{20} = \frac{1 - 8i}{10} [/tex]
PLEASE HELP! find the inverse matrix
Answer:
see explanation
Step-by-step explanation:
The inverse of a matrix A = [tex]\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right][/tex] is
[tex]A^{-1}[/tex] = [tex]\frac{1}{ad-bc}[/tex] [tex]\left[\begin{array}{ccc}d&-b\\-c&a\\\end{array}\right][/tex]
If ad - bc = 0 then the matrix has no inverse
A = [tex]\left[\begin{array}{ccc}11&-5\\3&-1\\\end{array}\right][/tex]
ad - bc = (11 × - 1) - (- 5 × 3) = - 11 - (- 15) = - 11 + 15 = 4 , then
[tex]A^{-1}[/tex] = [tex]\frac{1}{4}[/tex] [tex]\left[\begin{array}{ccc}-1&3\\-5&11\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}-0.25&0.75\\-1.25&2.75\\\end{array}\right][/tex]
Answer:
Step-by-step explanation:
[tex]A=\begin{bmatrix}11&-5\\3&-1\end{bmatrix}\\det(A)=11*(-1)-3*(-5)=-11+15=4\\minor=\begin{bmatrix}-1&3\\-5&11\end{bmatrix}\\cofactor=\begin{bmatrix}-1&-3\\5&11\end{bmatrix}\\Transposed\ cofactor=\begin{bmatrix}-1&5\\-3&11\end{bmatrix}\\A^{-1}=\dfrac{Transposed\ cofactorx}{det(A)} =\begin{bmatrix}\dfrac{-1}{4} &\dfrac{5}{4} \\\\ \dfrac{-3}{4} &\dfrac{11}{4}\end{bmatrix}\\[/tex]
[tex]Proof:\\A*A^{-1}=\begin{bmatrix}11&-5\\\\3&-1\end{bmatrix}*\begin{bmatrix}\dfrac{-1}{4} &\dfrac{5}{4}\\\\ \dfrac{-3}{4}&\dfrac{11}{4}\end{bmatrix}\\\\\\=\begin{bmatrix}\dfrac{-11+15}{4} &\dfrac{55-55}{4}\\\\ \dfrac{-3+3}{4}&\dfrac{15-11}{4}\end{bmatrix}\\\\\\=\begin{bmatrix}1&0\\\\ 0&1\end{bmatrix}\\[/tex]
Bonus: method of Gauss 's pivot jointed
7. Which of the following statements is not
true?
a. The square root of 112 is between 10 & 11.
b. The square root of 180 is between 13 & 14.
The square root of 12 is between 4 & 5.
d. The square root of 5 is between 2 & 3.
Answer:
c
Step-by-step explanation:
it is because in (a) the square root of 112. is 10.58 which is in between 10 and 11
(B) the square root of 180 is 13.42 which is between 13&14
(c) the square root of 12 is 3.46 which is not between 4&5
Answer:
C the square root of 12 is between 4&5.
Step-by-step explanation:
Divide. Write your answer as a fraction in simplest form.
−10 2/7÷(−4 4/11)= HELP PLS
Answer:
[tex] = \frac{33}{14} [/tex]
Step-by-step explanation:
[tex] - 10 \frac{2}{7} + ( - 4 \frac{4}{11} )[/tex]
➡️ [tex] - \frac{72}{7} \div - ( \frac{48}{11} )[/tex]
➡️ [tex] \frac{72}{7} \times \frac{11}{48} [/tex]
➡️ [tex] \frac{3}{7} \times \frac{11}{2} [/tex]
➡️ [tex] \frac{33}{14} [/tex] ✅
2f - 3(4f - 5g) + 5g + 7fg
Help pls how to solve it?
Step-by-step explanation:
2f - 3(4f - 5g) + 5g +7fg
multiply the 3 in
2f - 12f - 15g + 5g + 7fg
add or subtract common terms
-10f -10g +7fg will be your final answer
Answer:
Step-by-step explanation:
As the question did not say how to 'solve the question', I would assume it will be to simplify the equation, as there is no way of solving an expression without an answer.
Simplify:
2f - 3(4f-5g) + 5g +7fg
Get rid of the parentheses
2f - 12f - 15g + 5g +7fg
Simplify similar expressions
-10f - 10g + 7fg
Therefore, 2f - 3(4f-5g) + 5g +7fg simplified is equal to -10f - 10g + 7fg.
Chose the correct property
(8•3)4 = 8(3•4)
A) Commutative Property Of Multiplication
B) Associative Property Of Multiplication
C) Neither
Answer:
B) Associative Property of Multiplication
Step-by-step explanation:
The associative property states you can change where the parentheses (grouping terms) are in a multiplication statement, and you'll get the same product.
More generally:
(a * b) * c = a * (b * c)
Answer:
B) Associative Property Of Multiplication
Step-by-step explanation:
The associative property is a math rule that says that the way in which factors are grouped in a multiplication problem does not change the product.
Therefore, changing the grouping of (8x3) or (3x4) does not change the product.
Find the measure of unknown angle
Answer:
120 + z = 180 (linear pair)
=> z = 180 - 120
=> z = 60
130 + y = 180 (linear pair)
=> y = 180 - 130
=> y = 50
50 + 60 + x = 180 (Angle sum property of a triangle = 180)
=> 110 + x = 180
=> x = 180 - 110
=> x = 70
write 19.6 as a fraction
The answer would be 98/5
Calculate the area of each figure.
(PLS HELP )
You are offered an hourly job making $19 per hour. If you are scheduled to work 45
hours per week. What would the weekly gross pay for this job be?
Answer: 855 is the answer
3. Identify the property of real numbers.
The cost of one item sold for $14.50 is $14.50.
Answer:
$14.50
Step-by-step explanation:
Is the answer because we don't put a decimmel pint after the number
The property of real numbers demonstrated in the given statement is the "Reflexive Property of Equality."
The Reflexive Property of Equality is one of the fundamental properties of real numbers, stating that any real number is always equal to itself. In mathematical terms, for any real number 'a,' the Reflexive Property is expressed as:
a = a
This property is self-evident, as it simply means that any quantity or value is identical to itself. In the provided statement, the cost of one item sold for $14.50 is precisely $14.50, showing that the item's cost is equal to itself.
To further illustrate this concept, consider any real number 'x.' According to the Reflexive Property, we have:
x = x
This applies to all real numbers, whether they are whole numbers, decimals, fractions, negative numbers, or irrational numbers. For example:
1 = 1
5.3 = 5.3
-2 = -2
π = π (pi)
No matter what value 'x' represents, the Reflexive Property holds true for all real numbers. It is a fundamental principle that underpins many mathematical operations and proofs.
In summary, the Reflexive Property of Equality states that any real number is equal to itself. The given statement, "The cost of one item sold for $14.50 is $14.50," exemplifies this property, showing that $14.50 is indeed equal to $14.50, thus reaffirming the reflexive nature of real numbers.
To know more about Property here
https://brainly.com/question/29030415
#SPJ2
If the surface area of a cylinder is given by SA =
2nr^2+2nrh, calculate the height if the surface area is 30n and the radius is 2.
Answer:
The height is 11/2
Step-by-step explanation:
We know SA = 30n
and r = 2
We are solving for h. So plug in our values
30n = 2n(2)^2 + 2n(2)h
Multiply and square on the right side terms
30n = 8n + 4nh
Divide everything by n
30 = 8 + 4h
Subtract 8 on both sides
22 = 4h
Divide by 4 on both sides
h = 22/4 = 11/2
Check:
30n = 2n(2)^2 + 2n(2)(11/2)
30n = 8n + 22n
30n = 30n
PLZ help me 15 points
Answer:
[tex]\frac{12}{3} - 5 +16 : 4 = 3[/tex]
Step-by-step explanation:
[tex]\sqrt{144} = 12\\\sqrt[5]{243} = 3\\\\\sqrt[3]{64}= 4[/tex]
The diner sells 4 different sandwiches, 6 different drinks, and 3
different deserts. How many different orders could you place if you
decided to buy a sandwich and a desert?
Answer:
sandwich and drink only (no dessert)
so 4 x 6 = 24
you have 24 different combinations you can do
hope this helps
Step-by-step explanation:
0.002 is 1/10 of ____
Answer:
0.002 = x/10
x = 0.002 × 10
0.02 is ans
solve please this question
Step-by-step explanation:
[tex]sum \: of \: angles \: in \: a \: circle = 360 \\ so \\ 5a + 2a + 2a + 5a + 4a = 360 \\ 18a = 360 \\ a = \frac{360}{18} \\ a = 20 \\ thank \: you[/tex]
Write the perimeter of the rectangle in simplest form
Answer:
6v+16
Step-by-step explanation:
2(2v+13) + 2(v-5) > 4v+26+2v-10 > 6v+16
Answer:
Perimeter is 6v + 16
Step-by-step explanation:
Perimeter formular of rectangle:
[tex]{ \sf{perimeter = 2(length + width)}} \\ { \sf{p = 2(l + w)}}[/tex]
length is (2v + 13)
width is v - 5
[tex]{ \sf{p = 2 \{(2v + 13) + (v - 5) \}}} \\ { \sf{p = 2 \{(2v + v) + (13 - 5) \}}} \\ { \sf{p = 2(3v + 8)}} \\ { \sf{p = 6v + 16}}[/tex]
What is the period of the function given?
pls
Answer:
2. ☑ A [tex]\displaystyle f(x) = tan\:\frac{1}{2}x[/tex]
☐ B [tex]\displaystyle f(x) = tan\:2x[/tex]
☐ C x = [tex]\displaystyle 2tan\:x[/tex]
1. ☐ A [tex]\displaystyle \frac{\pi}{2}[/tex]
☐ B [tex]\displaystyle \pi[/tex]
☑ C [tex]\displaystyle 2\pi[/tex]
Explanation:
[tex]\displaystyle \boxed{f(x) = -cot\:(\frac{1}{2}x - \frac{\pi}{2})} \\ \\ y = Acot(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\pi} \hookrightarrow \frac{\frac{\pi}{2}}{\frac{1}{2}} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{\pi}{\frac{1}{2}} \\ Amplitude \hookrightarrow N/A[/tex]
OR
[tex]\displaystyle y = Atan(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{\pi}{\frac{1}{2}} \\ Amplitude \hookrightarrow N/A[/tex]
Here is all the information you will need. Now, what you need to know is that ALL tangent, secant, cosecant, and cotangent functions have NO amplitudes. Also, keep in mind that although this IS the tangent graph, if you plan on writing your equation as a function of cotangent, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = cot\:\frac{1}{2}x,[/tex] in which you need to replase "tangent" with "cotangent", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the tangent graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cotangent graph [photograph on the right] is shifted [tex]\displaystyle \pi\:units[/tex] to the left, which means that in order to match the tangent graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle \pi\:units,[/tex] which means the C-term will be positive, and perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{\pi} = \frac{\frac{\pi}{2}}{\frac{1}{2}},[/tex] but we are NOT YET DONE. Although we shifted the graph back into position, remember, cotangent is graphed in REVERCE, so we need to insert a negative in front of the amplitude term, and with that, the cotangent graph of the tangent graph, accourding to the horisontal shift, is [tex]\displaystyle y = -cot\:(\frac{1}{2}x - \frac{\pi}{2}).[/tex] Now, with all that being said, we can move forward. To find the period in this case, you need to take a look at the distanse between each vertical asymptote. Now, accourding to this graph, the vertical asymptotes are [tex]\displaystyle -\pi = x\:and\:\pi = x.[/tex] From here, you will then find the distanse between these asymptotes by simply perfourming the operation of Deduction, and doing that will give you [tex]\displaystyle \boxed{2\pi} = \pi + \pi.[/tex] So, the period of this function is [tex]\displaystyle 2\pi.[/tex] Now, you will instantly get the jist of the horisontal shift by looking at the above formula. Just keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must pay cloce attention to what is given to you inside those parentheses. Finally, the midline is the centre of your graph, also known as the vertical shift, which in this case is at [tex]\displaystyle y = 0.[/tex]
Well, that just about wraps it up. Now that everything has been explained, you should understand it better. If you still have questions, do not hesitate to comment any you have.
I am delighted to assist you at any time.
(X^8/yz^5)^m=1 find the value of m
Answer:
0
Step-by-step explanation:
Any nonzero number to 0 power results in 1.
This implies m is simply 0 since it would give
(x^8/yz^5)^0 which is 1.
Answer:
the value of "m" is 0
Step-by-step explanation:
the entire fraction is equal to 1, the fraction is raised to a power of 0, non-zero
raised to the power of 0 is always equal to 1 so then its
(\frac{x^{8}}{yz^{5}})^0 =1
now then this gives us the value of "m" = 0
hope that helps>3
Patrick has a bag of sugar that contains 5 kg. He uses 3 kg of sugar to make a cake. How 65
much sugar does Patrick have left?
Answer:
2 kg
Step-by-step explanation:
5 - 3 = 2
Hey there!
First, read the the problem again and look for any clues. "Have left" is a phrase that would be used for subtraction. So, 5 kg - 3kg = 2 kg.
Patrick has 2 kilograms of sugar left.
Hope this helps!
Have a great day!
Will give brainliest! Simplify 6 ÷ 2 · 3 - 6² ÷ 2² - 3²
Thanks!
. is written as ×
Step-by-step explanation:
6 ÷ 2 × 3 - 6² ÷ 2² - 3²
6 ÷ 2 × 3 - 36 ÷ 4 - 9
3 × 3 - 9 - 9
9 - 9 - 9
0 - 9
- 9
Answer:
Enter the expression you want to simplify into the editor.
The simplification calculator allows you to take a simple or complex expression and simplify and reduce the expression to it's simplest form. The calculator works for both numbers and expressions containing variables.
Step-by-step explanation:
Hey guys I need help in these. Thanks in advance^^
1) In which operations does the order of the numbers make a difference to the
final answer? Find out what this rule is called.
2) If evaluating the sum 2+3+4 does it make a difference which two numbers !
add first? Is the same true for the other operations? What's this rule called?
Answer:
Read explanation
Step-by-step explanation:
The two operations that you will get the same answer for no matter what order you do it is addition and multiplication.
Bonus: Technically, if you had something like 1-2-3 you could rewrite it as 1 + (-2) + (-3) and now it won't matter the order and for something like 1/2/3 you could rewrite as 1 * (1/2) * (1/3) and not it wont matter the order too!
This propetie is called the associative property of addition and multiplication.
In the second question since its addition the order you do it in does not matter.
Why: If you think of it logically adding in a diffrent order than the question does not matter since in the end your still adding the same ammount.
Remember: You can only swap the orders if everything is addition or multiplication and remember your order of operations when using this propety in the years to come.
Hoped this helped, Eddie K.W.