Answer:
4
Step-by-step explanation:
5
Identify the method that will be used to solve for x for each equation.
4x = 20
x 119
5x + 6x = 22
5(x - 2) = 30
The solution of the equation 4x = 20, x – 11 = 9, 5x + 6x = 22, and 5(x – 2) = 30 will be 5, 20, 2, and 8.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
The equations are given below.
4x = 20
x = 5
x – 11 = 9
x = 20
5x + 6x = 22
11x = 22
x = 2
5(x – 2) = 30
x – 2 = 6
x = 8
The complete question is attached below.
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Can someone explain this?
Answer:
false
Step-by-step explanation:
if the 2 shorter segments dont add up to be equal or greater to the longest segment, then its impossible for a triangle to be formed :)
Answer:
True
Step-by-step explanation:
General formulas and concepts:
Subject: Geometry
Unit: Triangular Line Segments
Definitions:
Triangle Inequality Theorem
The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side.Steps:
Use the triangle inequality theorem:
9 + 4 > 11
13 > 11 ⇒ True
9 + 11 > 4
20 > 4 ⇒ True
4 + 11 > 9
15 > 9 ⇒ True
Conclusion:
Because the 3 segments that are given satisfy the statements of the triangle inequality theorem, they can therefore form a triangle.
What trigonometric ratio would you use to find the distance from the base of the tower of your keys ? Identify your choice, then calculate the distance
The choice is tangent rule and the distance from the base to the tower is 3. 98 meters
How to determine the distanceThe trigonometric ratio to use is
tan α = opposite side/ adjacent side
This is so because the angle 86° is facing the side of the distance from the top to the base
The choice is tangent rule
adjacent = x
Angle = 86°
Opposite side = 57
We have
tan 86° = 57/x
14. 300= 57/x
x = 57 ÷ 14.300
x = 3.98meters
Thus, the choice is tangent rule and the distance from the base to the tower is 3. 98 meters
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If F(x) = 7x - 3 and g(x) = x2, what is (g ° f)(1)?
Answer:
16
Step-by-step explanation:
If f(x)=7x-3 and g(x)=x²,
(g•f)(1)= g(f(1))
bit : f(1) =7(1)-3 = 4
(g•f)(1)= g(f(1)) = g(4) = 1² = 16
I hope this was helpful :)
Question 3 of 10 A Assume EFG = JKL. If mLJ = 90°, mL K = 26°, and m< L = 64°, what is the measure of < E?
The measure of angle E will be 90 degrees as well.
Assume EFG = JKL.
If mLJ = 90°, mL K = 26°, and m< L = 64°,
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
We have been given an image of two congruent triangles.
Since, EFG = JKL
therefore, the corresponding angles will be congruent.
m < J = 90° = m< E = 90
By congruence measure of angle, J will be equal to the measure of angle E.
Hence, The measure of angle E will be 90 degrees as well.
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A child’s building set contains a brick with dimensions 63 x 31 x 18mm . Assume this brick is a replica of a real brick that has a greatest side length of 23 cm, determine the surface area and volume of the real brick. (Please can someone help me )
The surface area and volume of the real brick will be 983.2 cm²and 1738.11 cm³ respectively.
What is volume?The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.
The scale factor is ;
r = 630 cm /23
r = 27
L = 23 cm
b = 310 / 27 = 11.48 cm
h = 180/27 = 6.6 cm
The surface area of the brick;
A = 2(lb+bh+hl)
A = 2( 23 ×11.48+11.48×6.6+6.6×23)
A= 983.2 cm²
The volume of the brick is;
V= lbh
V=23 × 11.45 ×6.6
V=1738.11 cm³
Hence the surface area and volume of the real brick will be 983.2 cm² and 1738.11 cm³ respectively.
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Which equations are true?
Select all that apply
A) -x + (-x) =0
B) x - (-x) = 0
C) None of the above.
The correct answer from the task content is; Choice C; None of the above.
Which of the equations are true?The equations can be evaluated as follows;
A) -x + (-x) =0
-x -x = -2x......Not True
B) x -(-x) = 0
x + x = 2x .....Not True.
On this note, it follows that none of the equations is true.
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What is another way to write
MP
Answer:
I am not completely sure if this is correct, but I believe the answer should be PM.
This is because the order of the letters that represents a point can be swapped, since they are still forming the same line.
The recursive formula for an arithmetic sequence is:
a1 = -10
an = an-1+3
What is the 3rd term in the sequence?
A. -16
B. -30
C. -7
D. -4
Answer:
D. -4
Step-by-step explanation:
a1 is the first term.
a1 = -10
an = an-1 + 3
The recursive formula means that each term after the first term is 3 more than the previous term.
a2 = a1 + 3 = -10 + 3 = -7
a3 = a2 + 3 = -7 + 3 = -4
Find the equivalent exponential expression. [(-4)^5]^3
Answer:
[tex]-4^{15}[/tex]
Step-by-step explanation:
Given expression:
[tex]\left[(-4)^5\right]^3[/tex]
[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]
[tex]\implies (-4)^{(5 \times 3)}[/tex]
[tex]\implies (-4)^{15}[/tex]
[tex]\textsf{Apply exponent rule} \quad (-a)^n=-a^n,\:\: \textsf{ if }n \textsf{ is odd}:[/tex]
[tex]\implies -4^{15}[/tex]
Which statement could be used to explain why f(x) = 2x – 3 has an inverse relation that is a function?
The graph of f(x) passes the vertical line test.
f(x) is a one-to-one function.
The graph of the inverse of f(x) passes the horizontal line test.
f(x) is not a function.
If g(x) is the inverse of f(x), what is the value of f(g(2))?
–6
–3
2
5
Answer:
1st q answer is f(x) is one- to -one function and 2nd q answer is 2
Answer:
1) f(x) is one - to - one function2) 2Step-by-step explanation:
inverse of f(x)Let f(x) = y
y = 2x - 3
x = y + 3 / 2
inverse of f(x) = x + 3 / 2
g(x) = inverse of f(x)f [g(2)]
f [2+3/2]
f [5/2]
(2×5/2)-3
5-3
= 2
Therefore f [g(2)] = 2Use the multiplication law for logarithm to expand the following expression:[tex]log_{8} (21)[/tex]
- worth 20pt
Answer:
[tex]\log_8{(3)} + \log_8{(7)}[/tex]
Step-by-step explanation:
Product Rule for Logarithms
[tex]\log_b{(mn)} = \log_b{(m)} + \log_b{(n)}[/tex]
Instead of 21 you can write 3 · 7, because 21 = 3 · 7.
[tex]\log_8{(21)} = \\= \log_8{(3 \cdot 7)} =\\= \log_8{(3)} + \log_8{(7)}[/tex]
The sum of the reciprocals of the first four consecutive positive integers is greater than two. What is the least number of consecutive positive integers necessary to make the sum of the reciprocals greater than three?
The least number of consecutive positive integer that is required to make the sum of the reciprocals greater than three is 7.
What is an integer?An integer is simply a number that is not a fraction.
The first four consecutive positive integers are:
1, 2, 3 , 4.
Their reciprocals are:
1/1, 1/2, 1/3, 1/4; and
The sum of them are greater than 2; that is
1/1 + 1/2 + 1/3 + 1/4 = 2.08333333333 > 2
to make the expression >3
We would require the following integers
1/1 + 1/2 + 1/3 + 1/4+ (1/5) + (1/6) + (1/7) + (1/8)+ (1/9) + (1/10) + (1/11) = 3.01987734488
Thus, the additional consecutive reciprocal integers that is required to make the sum of the reciprocal of the fist four greater than 3 is 7.
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Drag a statement or reason to each box to complete this proof.
Given: Quadrilateral ABCD with m∠A=(7x)°, m∠B=(5x)°, m∠C=(7x)°, and m∠D=(5x)°.
Prove: x = 15
2) [tex]m\angle A+m\angle B+m\angle C+m\angle D=360^{\circ}[/tex]
3) Substitution property
4) Combine like terms
Point A is located at (−2, 2), and point M is located at (1, 0). If point M is the midpoint of segment AB, find the location of point B.
(−0.5, 1)
(4, −2)
(−5, 4)
(−1, 1)
Answer:
B. (4, -2)
Step-by-step explanation:
Please see attachment.
Hope this helps!
If not, I am sorry.
y
8 ⠀⠀⠀⠀
6+€ (1,5)
ATE
E (21)
D (4:1)
-8-6-4-2 2 4 6 8
-6-
Find the area of the triangle.
The area of the triangle will be 24912 sq. units. Square units and other similar units are used to measure area.
What is the area?The space filled by a flat form or the surface of an item is known as the area.
The number of unit squares that cover the surface of a closed-form is the figure's area.
For:
(X1, Y1) = (1, 15)
(X2, Y2) = (-2, 1)
d = 14.317821
For:
(X₂, Y₂) = (-2, 1)
(X₃, Y₃) = (4, 5)
d = 7.211103
For applying the pythogorous them we need the right angle triangle obtained by bisect from the mid point.
The value of the base is;
⇒7.2 / 2
⇒3.6
apply the pythogorous theorem for finding the height;
h² = p² + b²
14.31² = p² + 3.6²
p = 13.84
The area of the triangle is;
[tex]\rm A = \frac{1}{2}\times b \times h \\\\ A= \frac{1}{2} \times 3.6 \times 13.84 \\\\ A = 24.912[/tex]
Hence, the area of the triangle will be 24912 sq. units.
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75 POINTS PLEASE RESPOND ASAP
Have you ever been swimming in a pool, and your eyes were red when you get out? This means the chemicals in the pool were not adjusted correctly! More specifically, the measurement of the pool's pH was not quite right.
pH is a measurement of hydronium ions and can be modeled by the function f(x) = −log10x. The variable x represents the amount of hydronium ions, and f(x) gives the pH level.
Different liquids have ideal pH values that are different. Water at 25 degrees Celsius has a pH of 7. Anything that has a pH less than 7 is called acidic, and a pH above 7 is basic, or alkaline. Seawater has a pH just more than 8, whereas lemonade has a pH of approximately 3.
Create a graph of the pH function either by hand or using technology. Locate on your graph where the pH value is 0 and where it is 1. You may need to zoom in on your graph.
Use your graph to find the ideal pH level if the amount of hydronium ions is raised to 0.50.
The pool company developed new chemicals that transform the pH scale. Using the pH function f(x) = −log10x as the parent function, explain which transformation results in a y-intercept and why. You may graph by hand or using technology. Be sure to label each transformation on the graph.
f(x) + 1
f(x + 1)
ANSWER :
The pH level of a swimming pool indicates the level of acidity or alkalinity
of the swimming pool.
Correct Responses;
First Part: Please find attached the required graph of the pH function created with MS Excel.
The pH value is 0 when x = 1
The pH value is 1 when x = 0.1
The pH level if the hydronium ions is raised to 0.50 is approximately 0.301029996.
Second Part: The transformation that results in a y-intercept is f(x + 1), because f(0 + 1) exists and is equal to 0.
STEPS
Method by which the above responses are obtained
First part
The given pH function is f(x) = -㏒₁₀x
Where;
x = The amount of hydronium ions
A substance with a pH < 7 is acidic
A substance with a pH > 7 is alkaline
A neutral solution has pH = 7
Water is a neutral solution
The graph of the pH function created with MS Excel is attached
The table of values of the graph is as follows;
From the graph, we have;
When the pH value is 0, the hydronium ion concentration is 1
The pH value is 1 when x = 1 × 10⁻¹ = 0.1
The pH level if the hydronium ions, x = 0.5 is given from the graph as follows;
pH = f(0.5) = -㏒₁₀(0.5) ≈ 0.301029996
The pH value when the hydronium ions is 0.5 is pH ≈ 0.301029996
Second Part
Using f(x) = -㏒₁₀x as the parent function, the graph of f(x) + 1, and f(x + 1) are plotted
From the graph, we have;
The graph of f(x) + 1 = -㏒₁₀x + 1
The graph of f(x + 1) = The graph of -㏒₁₀(x + 1)
At the y-intercept, x = 0, therefore;
f(x) + 1 = f(0) + 1 = -㏒₁₀0 + 1 = Undefined
f(x + 1) = f(0 + 1) = -㏒₁₀(0 + 1) = 0
Therefore;
The transformation that results in a y-intercept is f(x + 1) because f(0 + 1) is 0, which is defined.
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What must be the value of x so that lines a and b are parallel lines cut by transversal f? 10 20 22 32.
Answer: Option 3 or C. 22
Step-by-step explanation:
I got the answer correct on Edge 2022 quiz. Trust me the answer is correct I screenshot it using the prt sc key then uploaded it. The proof is in the pic below. :)
Which statement best explains the relationship
between lines AB and CD?
They are parallel because their slopes are equal.
• They are parallel because their slopes are negative
reciprocals.
They are not parallel because their slopes are not
equal.
They are not parallel because their slopes
are
negative reciprocals.
Answer:
They are parallel because their slopes are equal.
Step-by-step explanation:
See attached image.
which statements about square roots are true ?check all that apply
(please help) Find the value of A
Step-by-step explanation:
(6a + 10)° = (3a + 55)°
6a - 3a = 55 - 10
3a = 45
a = 45/3
a = 15° IS THE ANSWER
can someone look at this image?
Answer:
image doesn't showing up ........Select two ratios that are equivalent to 2 : 9.
Choose 2 answers:
9:2
1881
12:54
18:4
20:45
What is the solution to the system of equation
Answer:
[tex]x=(-2,\frac{5}{3} )[/tex]
Step-by-step explanation:
1) We will use the matrix method to solve this problem.
[tex]\left[\begin{array}{ccc}-2/3&1&3\\1&0&-2\\\end{array}\right][/tex]
2) Swap Row₁ and Row₂ to make row reduction easier.
[tex]\left[\begin{array}{ccc}1&0&-2\\-2/3&1&3\\\end{array}\right][/tex]
3) Apply to Row₂ : Row₂ + [tex]\frac{2}{3}[/tex] Row₁.
[tex]\left[\begin{array}{ccc}1&0&-2\\0&1&5/3\end{array}\right][/tex]
4) Simplify rows.
[tex]\left[\begin{array}{ccc}1&0&-2\\0&1&5/3\\\end{array}\right][/tex]
Note: The matrix is now in row echelon form.
The steps below are for back substitution.
5) Apply Row₁ : Row₁ - 0 Row₂.
[tex]\left[\begin{array}{ccc}1&0&-2\0\\0&1&5/3\end{array}\right][/tex]
6) Simplify rows.
[tex]\left[\begin{array}{ccc}1&0&-2\\0&1&5/3\\\end{array}\right][/tex]
Note: The matrix is now in reduced row echelon form.
7) Therefore,
[tex]x=-2\\x=\frac{5}{3}[/tex]
please please help ME!!!
Answer:
720 Course Schedules
Step-by-step explanation:
When you choose the first course, there are 6 to choose from. When you scoose the second, there are only 5. This keeps going until the 6th course where there is only 1 choice.
You multiply these choices together. You should get 6×5×4×3×2×1
6×5=30
30×4=120
120×3=360
360×2=720
720×1=720
You then end up with 720 course schedules.
what is the measure of this angle
Answer:
135
Step-by-step explanation:
Depending on where you start, the protractor can read in different ways. Since the measure of this angle started from the left, you read the numbers at the top. If the measure would have started from the right, you read the numbers below.
A good rule of thumb is that if the angle appears to be greater than 90 degrees, or an obtuse angle, you would choose the only answer choice that is above 90 degrees.
Hope this helps!
What is the slope of = -x +7 ?
Answer:
I assume you meant "y = -x+7" not "= -x +7". If that is correct then the slope is -1.
Step-by-step explanation:
The slope is the coefficient of the x in slope-intercept form. Therefore, the slope is -1.
Please give me Brainliest if this answer is correct.
1 more NEXT WILL BE ANOTHER 25 POINTS
Answer:
B.
Step-by-step explanation:
if x is 3 then you just substitue every instance of x as 3. 2(x-4) + 3x - x^2 =
2(3 - 4) + 3(3) - 3^2 =
6-8 + 9 - 9 =
-2
what is 500 - 250 + 5/30 % by 121 + π × f if f = 256 pls help
Answer:
I am not sure but 31054.449
Step-by-step explanation:
Answer:
0.27037
Step-by-step explanation:
numerator is 250.16667
denominator is 925.2477
answer is 0.27037
Sofia bought $38 worth of video games. She had a coupon that allowed her to save 8% on her purchases.
Answer:34.96 (answer to what is her purchase price before tax)
Step-by-step explanation:38*(1-.08)
