Answer:
A. (5, 13)
Step-by-step explanation:
The function f(x) = (x - 4) + 5 is the translation of the function f(x) 4 units right and 5 units up and the rule is:
(x, y) → (x + 4, y + 5)
Apply the rule to the given point to get:
(1, 8) → (1 + 4, 8 + 5) = ( 5, 13)
Correct choice is A
need help finding this C measure
Answer:
<C = 45 degrees.
Step-by-step explanation:
This is a right triangle (indicated by the square representing <A). All angles in a triangle add up to 180 degrees
180 - 90 is 90. Knowing that there are only two angles left, you can divide 90 by 2, resulting in 45.
<C = 45.
Imagine you want to create a model of Solar system (and beyond) with the Sun
represented by a beach ball of diameter 60 cm = 0.60 m. (i.e. of radius 30 cm = 0.30
m). On that same scale:
What is the diameter of the Milky Way?
And the diameter or Radius of Earth
The diameter of the milky way is given as 4.3 x 10¹¹m while the diameter of the radius of the earth is 0.00276
How to solve for the diameter of the milky wayThe transformed system is given as 23.18 x 10⁸ in real length
Hence the diameter is
10 x 10²⁰ / 23.18 x 10⁸
= 4.3 x 10¹¹ m
How to solve for the diameter of the radius of the earthDistance from the sun to the earth = 1.496 x 10¹¹m
Transformed system = 1.496 x 10¹¹m/23.18 x 10⁸
= 64.5 m
Actual radius = 6.4 x10⁶ / 23.18 x 10⁸
= 0.00276
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How many sides has a regular polygon if it's interior angles are:144 each, 135 each
The measure of each interior angle of a regular polygon is [tex]\frac{180(n-2)}{n}[/tex] degrees, where n is the number of sides.
Question 1
[tex]144=\frac{180(n-2)}{n}\\\\144n=180(n-2)\\\\144n=180n-360\\\\-36n=-360\\\\n=10 \text{ sides}[/tex]
Question 2
[tex]\frac{180(n-2)}{n}=135\\\\180(n-2)=135n\\\\180n-360=135n\\\\-360=-45n\\\\n=8 \text{ sides}[/tex]
Explain the different ways you can name an angle how can you determine if two triangles are similar
Answer:
angle angle theorem.
Step-by-step explanation:
If you want to determine whether a few angles are similar you can use formulas such as SAS AAA ASA etc.
this means
side angle side
angle angle anlge
angle side angle
A princess has two pet dragons. The dragons can eat 300kg of chocolate in 12 days. How many days will the same 300kg last if got 4 more dragons for her birthday?
The chocolate will last for 1 day, if she gets 4 more dragons
How to determine the number of days?The expression can be represented using the following ratio:
Ratio = Dragons : Days : Chocolate
For the 2 dragons she has, we have:
Ratio = 2 : 12 : 300
When she gets 4 more dragons, we have:
Ratio = 6 : days : 300
Equate both ratios
6 : days = 12 : 2
Express as fraction
days/6 = 2/12
Multiply both sides by 6
days = 6 * 2/12
Evaluate
days = 1
Hence, the chocolate will last for 1 day
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Simplify the following expression.
Answer:
-70x, 26y^3, -3z
Step-by-step explanation:
The way to solve this is by combining like terms. The terms we have given to us include x, y^3, and z. As a result, we will group terms based on these variables.
1. Find all the terms with each variable.
* -35x, -35x
* 23y^3, 3y^3
* -3z
2. Combine like terms.
* -35x + (-35x) = -35x - 35x = -70x
* 23y^3 + 3y^3 = 26y^3
* -3z + 0 = -3z
Answer:
Hello! The answer is: [tex]-70x - 3z + 26y^3[/tex]
Step-by-step explanation:
First, rearrange to combine like terms:
[tex]-35x - 35x - 3z + 23y^3 + 3y^3[/tex]
Now, combine like terms:
[tex]-70x - 3z + 26y^3[/tex]
this hyperbola is centered at the origin find its equation
foci: (-2,0) and (2,0)
vertices: (-1,0) and (1,0)
The equation of the hyperbola with foci (-2, 0), (2, 0), and vertices, (-1, 0), (1, 0) is [tex] \underline{\frac{ {x}^{2} }{ {1}^{2} } - \frac{ {y}^{2} }{ 3} } = 1[/tex]
Which method is used to find the equation of the parabola?The general form of the equation of an hyperbola is presented as follows;
[tex] \frac{ {x}^{2} }{ {a}^{2} } - \frac{ {y}^{2} }{ {b}^{2} } = 1[/tex]
Where a is obtained from the vertex written as (-a, 0), (a, 0)
The given vertex are (-1, 0), (1, 0), which gives;
a = 1
The general form of the foci of a hyperbola are; (-c, 0), (c, 0)
The given foci of the hyperbola are; (-2, 0), (2, 0)
Where;
c² = a² + b²Therefore;
b² = c² - a²By comparison, we have;
c² = 2²
Which gives;
b² = 2² - 1² = 3The equation of the hyperbola is therefore;
[tex] \underline{\frac{ {x}^{2} }{ {1}^{2} } - \frac{ {y}^{2} }{ 3} } = 1[/tex]
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Find f(g(2)) if f(x) = 2x-1 g(x) = -3x Find f(g(2)) if f(x) = 2x-1 g(x) = -3x -6 -9 3 -13Let Q (in grams) represent the mass of a quantity of carbon-14, which has a half-life of 5730 years. The quantity present after t years is Q(t)=10\cdot\left(\frac12\right)^{\left(\frac t{5730}\right)}Q(t)=10⋅(
2
1
)
(
5730
t
)
.
Determine the quantity present after 2000 years.
Let Q (in grams) represent the mass of a quantity of carbon-14, which has a half-life of 5730 years. The quantity present after t years is Q(t)=10\cdot\left(\frac12\right)^{\left(\frac t{5730}\right)}Q(t)=10⋅(
2
1
)
(
5730
t
)
.
Determine the quantity present after 2000 years.
7.851 grams
1.117 grams
0.785 grams
1.745 grams
The quantity that is present after 2000 years will be A. 7.851 grams.
How to calculate the quantity?From the information given, initially at t = 0, the quantity is 10 grams.
After 2000 years, the appropriate quantity will be:
Q(2000) = 10 (1/2) × (2000/5730)
Q(2000) = 7.851 grams.
In conclusion, the correct option is A.
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Compare the graphs f(x)=(x-10)^2+8 with the graph of f(x)=x^2
Yea
Answer:
b. The graph of g(x) is a translation 10 units right and 8 units up from the graph of f(x).
Step-by-step explanation:
See attached image.
The roots of the quadratic function describing the relationship between number of products produced and overall profit margin are x=0 and 28. The vertex is a minimum at (14,−40).
the quadratic equation is:
y = 0.2*x*(x - 28)
How to find the quadratic equation?
If we know that the roots are J and K, and the leading coefficient is a, then the quadratic equation is:
y = a*(x - K)*(x - J)
Here we know that the roots are at x = 0 and x =28, then:
y = a*(x - 0)*(x - 28).
We also know that the vertex is a minimum, so a is positive, and we know that the vertex is (14, -40), then we have:
-40 = a*(14)*(14 - 24) = -a*196
a = 40/196 = 0.20
Then the quadratic equation is:
y = 0.2*x*(x - 28)
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What is the probability of obtaining in a row when flipping a coin?.
There are 50-50 chances that you will get a head or a tail
What is the simplified form of 4 log3y - 6 log3x + 7 log3z?
[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]
[ b ] is the Correct one
[tex]\textsf{ \underline{\underline{Steps to solve the problem} }:}[/tex]
[tex] \qquad❖ \: \sf \:4 \: log_{3}(y) - 6 \: log_{3}(x) + 7 \: log_{3}(z) [/tex]
[tex] \qquad❖ \: \sf \: \: log_{3}(y {}^{4} ) - \: log_{3}(x {}^{6} ) +\: log_{3}(z {}^{7} ) [/tex]
[tex] \qquad❖ \: \sf \: \: log_{3}(y {}^{4} ) + \: log_{3}(z{}^{7} ) - \: log_{3}(x {}^{6} ) [/tex]
([tex] \sf a\: log (b) = log {b}^{a}[/tex])
[tex] \qquad❖ \: \sf \: log_{3}( {y}^{4} {z}^{7} ) - log_{3}( {x}^{6} {}^{} ) [/tex]
([tex] \sf{log (a) + log (b) = log (ab)} [/tex])
[tex] \qquad❖ \: \sf \: log_{3} \bigg( \dfrac{y {}^{4} {z}^{7} }{ {x}^{6} } \bigg ) [/tex]
([tex] \sf{log (a) - log (b) = log (a/b)} [/tex])
[tex] \qquad \large \sf {Conclusion} : [/tex]
[ b ] is the Correct choice
Which graph represents viable values for y = 2x, where x is the number of pounds of rice scooped and purchased from a bulk bin at the grocery store and y is the total cost of the rice?
On a coordinate plane, a straight line with a positive slope begins at point (0, 0), and ends at point (2.5, 5).
On a coordinate plane, blue diamonds appear at points (0, 0), (1, 2), (2, 4).
On a coordinate plane, a straight line with a positive slope begins at point (negative 2.5, negative 5), crosses the x- and y-axis at point (0, 0), and ends at point (2.5, 5).
On a coordinate plane, blue diamonds appear at points (negative 2, negative 4), (negative 1, negative 2), (0, 0), (1, 2), (2, 4).
Mark this and return Save and Exit Next
The correct match for the graph of the total cost function is the option B graph.
What is a function?The function is a type of relation, or rule, that maps one input to specific single output.
Given;
y = 2x is function
so, our graph should be of function y = 2x
Here, x is the number of pounds of rice scooped and purchased from a bulk bin at the grocery store and y is the total cost of the rice.
it means x is a number like 0, 1, 2, 3
so, the graph of the total cost function is a discrete function in nature.
Hence, graph-B is correct answer.
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helppppppppppppppppppppppppppppppppppppp
2x = 10
☆...hope this helps...☆
_♡_mashi_♡_
Answer:
A. 2x = -10
E. 2x = 10
Explanation:
[tex]\sf |2x| = 10[/tex]
If |a| = b then a = b or a = -b
[tex]\sf 2x = 10 \quad or \quad 2x = -10[/tex]
divide both sides by 2
[tex]\sf x = 5 \quad or \quad x = -5[/tex]
There were three parts to Rita's race. She ran the first part, which was 4/9
of the total distance, in 20 minutes. She ran the second part, which was 2/5
of the remaining distance, in 12 minutes. She finally ran the third part in 15 minutes at a speed of 300 meter per minute.
How long was the second part of the race? What was Rita's speed in that section of the race?
Hello!
d₁ = distance covered in Part 1
d₂ = distance covered in Part 2
d₃ = distance covered in Part 3
Distance in Part 2 :
⇒ d₃ = 15 x 300 = 4500 m
⇒ d₂ = 2/5d₃
⇒ d₂ = 2/5 x 4500
⇒ d₂ = 1800 meters
Speed in Part 2 :
⇒ v₂ = 1800 m / 12 min
⇒ v₂ = 150 meters per minute
12. Todd graphs a quadratic function. The graph of his quadratic
function passes through the points
(-2,0), (4,0), and (0,-32). Which quadratic function could be Todd's
function?
a. y = 4x² - 8x - 32
b. y = 4x² + 8x - 32
C. y = 2x² - 16x - 32
d. y = -4x² + 8x - 32
a
b
OC
d
y = 2x² - 16x - 32 is the quadratic function of function passes through the points (-2,0), (4,0), and (0,-32).
What is Quadratic function?y=ax²+bx+c is called as Quadratic function
y=ax²+bx+c
The three points are (-2,0), (4,0), and (0,-32)
Let,
(-2,0) in equation
0=a(-2)²+b(-2)+c
0=-2b+c...(1)
(4,0)
0=a(4)²+b(4)+c
0=16a+4b+c..(2)
(0,-32)
-32=a(0)²+b(0)+c
c=-32...(3)
Hence put c value in (1)
0=-2b-32
2b=-32
b=-16
Now put b and c value in 2
0=16(a)+4(-16)+32
0=16a-64+32
0=16a-32
a=2
Hence y = 2x² - 16x - 32 is the quadratic function of function passes through the points (-2,0), (4,0), and (0,-32).
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Write the decimal as a fraction.
0.12
Answer:
3/25
Step-by-step explanation:
0.12=12/100
12/100 can be simplified 6/50 = 3/25
Triangle MRN is created when an equilateral triangle is folded in half.
Triangle N R M is shown. Angle N R M is a right angle. An altitude is drawn from point R to point S on side M N to form a right angle. The length of N S is 6, the length of S M is 2, the length of R M is x, the length of N R is y, and the length of R S is z.
What is the value of y?
2 StartRoot 3 EndRoot units
4 units
4 StartRoot 3 EndRoot units
8 units
Answer:
4 units
Step-by-step explanation:
Help please!!!
Determine the domain and range of each function.
31.
32.
Given: ΔABC with
Prove: AD/DB=CE/EB
Statement Reason
1. given
2. If two parallel lines are cut by a transversal, the corresponding angles are congruent.
3. ΔABC ~ ΔDBE AA criterion for similarity
4. Corresponding sides of similar triangles are proportional.
5. AB = AD + DB
CB = CE + EB segment addition
6. Substitution Property of Equality
7. division
8. Subtraction Property of Equality
6
What is the missing step in this proof?
A.
∠CAB ≅ ∠ACB, ∠EDB ≅ ∠DEB
B.
∠ADE ≅ ∠DBE, ∠CED ≅ ∠EBD
C.
∠CAD ≅ ∠ACE, ∠ADE ≅ ∠CED
D.
∠CAB ≅ ∠EDB, ∠ACB ≅ ∠DEB
Given that DE||AC, by similar triangles, we have;
D. <CAB congruent to <EDB, <ACB congruent to <DEBHow can the missing step be found?A part of the question that appears missing is; side DE||AC
The completed two column proof is presented as follows;
Statement. Reason
1. DE||AC 1. Given
2. <EDB congruent to <CAB
<DEB congruent to <ACB
Which can be written as; <CAB congruent to <EDB, <ACB congruent to <DEB
2. If two parallel lines are cut by a common transversal, the corresponding angles are congruent
3. ∆ABC ~ ∆DBE 3. by AA criterion for similarity
4.
[tex] \mathbf{\frac{ AB }{ CB} } = \frac{ DB }{ EB} [/tex]
4. Corresponding sides of similar triangles are proportional
5. AB = AD + DB
CB = CE + EB 5. Segment addition postulate
6. [tex] \mathbf{\frac{ AD + DB }{ CE + EB} } = \frac{ DB }{ EB} [/tex]
6. Substitution property of equality
7. [tex] \frac{ AD + DB }{ DB} = \frac{ CE + EB }{ EB} [/tex]
7. Division property
8. [tex] \frac{ AD }{ DB} + 1 = \frac{ CE }{ EB} + 1 [/tex]
[tex] \frac{ AD }{ DB} = \frac{ CE }{ EB} [/tex]
8. Subtraction property
Therefore, the missing step in the proof is the option;
D. <CAB congruent to <EDB, <ACB congruent to <DEBLearn more about similar triangles here;
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Dan's Dependable Delivery Given the following information calculate Dan’s Dependable Delivery’s debt ratio for two consecutive years. Show your calculations using Excel formulas. After the calculations, write a short message to Dan explaining what the ratios mean. Is there improvement? Current year Last year Total Assets $3,750,250 $3,590,750 Total liabilities $1,500,250 $1,470,000 Debt Ratio for the current year Debt Ratio for last year Message to Dan below:
Current year's debt ratio is 2.50
Last year's debt ratio is 2.44
Compute Dan's Dependable Delivery debt ratio for two consecutive years?
The debt ratio is the total liabilities divided by the total assets
The debt ratio for the current year = 2.50
The debt ratio for last year =2.44(find attached excel file and formula sheet)
Debt ratio means the portion of the firm's total assets funded using borrowing(external funding), the lower the ratio, the better since having a higher debt means a higher interest would be paid, the higher the debt, the higher the chance of the firm defaulting on paying interest and repaying the principal borrowed.
The fact that the debt ratio has increased in the current year, means that the ratio has worsened because more debt has been taken.
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You have a total of 16 coins, all quarters and dimes. The total value is $3.10. Which
of the following is the system of linear equations that represent this scenario? Let q =
the number of quarters and let d = the number dimes.
The system of linear equations that represents this scenario is: q + d = 16
0.25q + 0.10d = 3.10
To represent the scenario described, we can set up a system of linear equations using the given variables:
Let q represent the number of quarters.
Let d represent the number of dimes.
We are given two conditions:
1) The total number of coins is 16:
q + d = 16
2) The total value of the coins is $3.10:
0.25q + 0.10d = 3.10
Therefore, the system of linear equations that represents this scenario is:
q + d = 16
0.25q + 0.10d = 3.10
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PLEASE HELP GUYS!!!
which of the following is equivalent to the complex number i^38?
Answer:
The answer is C = -1
please help i dont get it
Answer:
78.5
Step-by-step explanation:
pi(r^2)
3.14(5^2)
3.14(25)
78.5
pls kindly see the attached picture for the answer and explanation thank you
a + c = 405
12a + 5c = $3,590
Answer:
a=223.57
c=181.43
Step-by-step explanation:
a=405-c
substitute for a in the equation :
12a+5c=3590
12(405-c)+5c=3590
4860-12c+5c=3590
-7c=3590-4860
-7c=-1270
c=1270/7=181.43
a=405-1270/7
a=1565/7=223.57
What is the multiplicative rate of change of the function?
0.2
0.25
0.5
0.75
The multiplicative rate of change of the function will be 0.5. Then the correct option is C.
What is an exponent?Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as
y = a(b)ˣ
The missing table is attached below.
For x = 2, y will be 0.125
0.125 = ab² ...1
For x = 3, y will be 0.0625
0.0625 = ab³ ...2
Divide equation 2 by equation 1, we have
b = 0.0625 / 0.125
b = 0.5
Then the correct option is C.
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PLEASE 100 POINTS AND BRAINLIEST
Answer:
29u
Step-by-step explanation:
a = (V-U)/t = (1.2u-u)/10 = 0.02u
D1: V₀t+0.5at² = (u)(10)+(0.5)(0.02u)+(10)(10) = 11u
D2: (V)(t) = (1.2u)(15) = 18u
D = D1 + D2 = 29u
For first half
Initial velocity=uFinal velocity=v=1.2uTime=10sWe need acceleration first
a=(1.2u-u)/10a=0.2u/10a=0.02uSo distance traveled (Apply second equation of kinematics
s=10u+1/2(0.02u)(10)²s=10u+2/2×100/100×us=11u mFor second half
No acceleration
Distance=Speed×Time
1.2u(15)18u mTotal distance
D=11u+18uD=29u mA line of a slope 1/4 and passes through the point (0.2,4/5)
Find the value of b, the y-intercept.
The y-intercept of the line is 0.75 or 3/4
How to determine the y-intercept?The given parameters are:
Slope, m = 1/4
Point (x, y) = (0.2, 4/5)
A linear equation is represented as:
y = mx + b
This gives
4/5 = 1/4 * 0.2 + b
Evaluate the product
4/5 = 0.05 + b
Subtract 0.05 from both sides
b = 0.75
Hence, the y-intercept of the line is 0.75 or 3/4
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Find the surface area of the figure!! pls show work thank you!!! geometry!!
Answer:165
Step-by-step explanation:
What has to be true for the triangles to be congruent?
Answer:
Step-by-step explanation:
Argument
I think the answer is A = N or D. It that is true, then M = C because all three angles are equal which gives similarity. But there is a side involved. OM = CB. Therefore the two triangles are congruent by ASA
Answer
ASA