Answer:
c.) 6 1/2
Step-by-step explanation:
Volume = length × width × height
2 1/6 × 1 1/5 × 2 1/2
13/6 × 6/5 × 5/2
13/5 × 5/2
13/2 = 6 1/2
Please answer with everything needed i appreciate everyones help:)
Answer:
at 5 mins Holly traveled 2 miles. At 10 mins Holly traveled 4 miles. from there on she stayed there for 10 mins then went on her way. At 30 mins she traveled 5 1/2 miles. when she hit 35 mins she hit her destination then went back home.
Step-by-step explanation:
pretty simple
Find the perimeter of the image below
Answer choices
59 sq units
65 sq units
72 sq units
83 sq units
Show work
What is the gradient of the graph shown?
Answer:
1
Step-by-step explanation:
Write an equation of the line that passes through point (0,2) and is perpendicular to line y=1/2+1
What is 88=10y + 30 - 4y?
Answer:
y = [tex]\frac{29}{3}[/tex]
Step-by-step explanation:
88 = 10y + 30 - 4y , that is
88 = 6y + 30 ( subtract 30 from both sides )
58 = 6y ( divide both sides by 6 )
[tex]\frac{58}{6}[/tex] = y , that is
y = [tex]\frac{29}{3}[/tex]
Given f(x) = 3x - 1, find f(2)
Answer:
5
Step-by-step explanation:
substitute in 2 for x
3(2) - 1 = 5
Which statements could he include in his explanation? select two options. the domain of both functions is all real numbers. the domain of f(x) is x > 5. the domain of g(x) is x > 5. the range of f(x) is y > 0. the range of g(x) is y > 0.
The correct option is 'The domain of both functions is all real numbers'.
According to statement
Here, functions are f(x) = 5x and g(x) =5x
Since the domain of f(x) is, D= { x : x belongs to all real numbers.}
Therefore, Domain of f(x) is all real numbers.
Since f(x) and g(x) have the same value,
Therefore, Domain of g(x) is also the set of real numbers.
Now, range of f(x) is , R= { 5x : x belongs to all real numbers.}
Therefore, Range of f(x) is all real numbers.
Range of g(x) is also all real numbers.
So, we can say by the above explanation, only option (1) is correct.
DISCLAIMER: The question was incomplete. Please find the full content below.
QUESTION
Keshawn is asked to compare and contrast the domain and range for the two functions.
f(x) = 5x
g(x) = 5x
Which statements could he include in his explanation? Check all that apply.
1. The domain of both functions is all real numbers.
2. The domain of f(x) is x > 5.
3. The domain of g(x) is x > 5.
4. The range of both functions is y > 5.
5. The range of f(x) is y > 0.
6. The range of g(x) is y > 0.
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189 divided by 7 please get a long division answer
Using long division, 189 divided by 7 is 27
How to use long division technique?The picture below represent how to use long division.
Firstly, we divided 1 by 7, it can't go. Therefore, it zero. we put zero at the quotient space.
Multiply zero by 7 and subtract from 189.
We use 18 to divide 7. It will give us 2 remainder 4. we put the 2 at the quotient side and multiply it by 7 to get 14.
Then we subtract 14 from 18. And so on. This is done till we get 0.
Therefore, using long division, 189 divided by 7 is 27
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What is the expression of g(x) when we perform the following sequence of transformations onto the parent function fx=|x|:
a) Stretch vertically by a factor of 2;
b) Compress horizontally by a factor of 2
if stretched vertically by a factor of 2, the resulting function will be g(x) = 2|x| and a horizontal compression by a factor of 2, the resulting function will be 1/2|x|
Transformation of functionsTransformation is a technique used to change the position of an image on an xy-plane.
If the function f(x)is vertically stretched by "a" units, the resulting function will be f(x) = a|x|.
Hence if stretched vertically by a factor of 2, the resulting function will be g(x) = 2|x|
For a horizontal compression by a factor of 2, the resulting function will be 1/2|x|
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asap! find the length of the arc
Answer:
A. [tex]\frac{21}{4} \pi\ \space\ in[/tex]
Step-by-step explanation:
The formula for arc length is:
arc length = rθ
where:
r is the radius = 7 in
θ is the central angle in radians = 135 × [tex]\frac{ \space\ \pi\ }{180}[/tex] = 3/4 π
Substituting these values into the formula:
arc length = 7 in × 3/4 π
= [tex]\frac{21}{4} \pi\ \space\ in[/tex]
Solve for x -6x > 17 Give your answer as an improper fraction in its simplest form.
Answer:
Answer: x ≤ q - 17/6.
Step-by-step explanation:
Divide both sides of the inequality by the coefficient of variable
John plays a game where each question answered correctly is awarded 552 points. john answered 16 questions correctly. work out many points john has in total.
Jeremy cashed his weekly paycheck at the bank and asked for the money in $5
and $10 bills. The bank teller gave him 24 bills worth $170. How many $5 bills did
the bank teller give him? Type in the number only.
Answer:
14
Step-by-step explanation:
We can find the number of five-dollar bills creating a system of equations, where F represents the number of five-dollar bills and T represents the number of ten-dollar bills.
Thus, we have 5F + 10T = 170 and F + T = 24.
We can use substitution in the second equation first to find T then finally F.
[tex]5F + 10T = 170\\F + T = 24\\\\F = 24-T\\\\5(24-T)+10T = 170\\120-5T+10T=170\\120+5T=170\\5T=50\\T=10\\\\F+10=24\\F=14[/tex]
Solve 56-10x≥ 20 + 8x.
O A. x≥ 2
OB. x2-2
OC. x≤2
OD. x≤-2
Answer:
[tex]\huge\boxed{\sf x\leq 2}[/tex]
Step-by-step explanation:
Given inequality:[tex]56-10x\geq 20+8x\\\\Subtract \ 20 \ from \ both \ sides\\\\56-20-10x\geq 8x\\\\36-10x\geq 8x\\\\Add \ 10x \ to \ both \ sides\\\\36\geq 8x+10x\\\\36\geq 18x\\\\Divide \ 18 \ to \ both \ sides\\\\2 \geq x\\\\OR\\\\x\leq 2\\\\\rule[225]{225}{2}[/tex]
[tex]\bf{56-10x\geq 20+8x }[/tex]
Subtract 8x on both sides.
[tex]\bf{56-10x-8x\geq 20 }[/tex]
Combine −10x and −8x to get −18x.
[tex]\bf{56-18x\geq 20 }[/tex]
Subtract 56 from both sides.
[tex]\bf{-18x\geq 20-56 }[/tex]
Subtract 56 from 20 to get −36.
[tex]\bf{-18x\geq -36 }[/tex]
Divide both sides by −18. Since −18 is <0, the inequality direction is changed.
[tex]\bf{x\leq \dfrac{-36}{-18} }[/tex]
Divide −36 by −18 to get 2.
[tex]\bf{x\leq 2 \ \ \to \ \ \ Answer}[/tex]
We conclude that the correct option is "C".
{ Pisces04 }Can some one put the answers out
Step-by-step explanation:
1. -5(a - 9) = -5a + 45
2. [tex]\frac{-8.3-(+2.7)}{\frac{1}{5} } = \frac{-8.3-2.7}{0.2} =\frac{-11}{0.2}=-55[/tex]
3.13p + 13 - p = (13p - p) + 13 = 12p + 13
4. -11b - 3(-4b + 1) = -11b + 12b - 3 = b - 3
5.
[tex]-2n+\frac{1}{6}-4\frac{1}{2}n = (-2n-4\frac{1}{2}n)+\frac{1}{6} = [-\frac{4}{2} n-(\frac{8}{2}+\frac{1}{2} )n]+\frac{1}{6} = -\frac{4}{2} n- \frac{9}{2} n+\frac{1}{6} =-\frac{13}{2}n\\+ \frac{1}{6}[/tex]
6. It didn't show all the information on the question.
7. [tex]-\frac{3}{5}(20r-5)-(-6r) =-12r+3+6r = (-12r+6r)+3=-6r+3[/tex]
8. [tex]-\frac{5}{6}x+\frac{4}{9}+\frac{2}{3}x+\frac{1}{3}=(-\frac{5}{6}x+\frac{2}{3}x)+(\frac{4}{9}+\frac{1}{3})=(-\frac{5}{6}x+\frac{4}{6}x)+(\frac{4}{9}+\frac{3}{9})=-\frac{1}{6}x+\frac{7}{9}[/tex]
9.It didn't show all the information on the question.
Triangle abc is a right triangle with leg lengths of 5 and 12 inches. find the length of the hypotenuse. round answer to the nearest hundredth if necessary. 4.12 in 10.91 in 13 in 17 in
The hypotenuse of the right triangle ABC, with legs of 5 and 12 inches is 13 inches, computed using the Pythagoras Theorem. Hence, the 3rd option is the right choice.
The Pythagoras Theorem states that in a right triangle, the square of the hypotenuse is always equal to the sum of the squares of the other two legs.
If the hypotenuse is taken as a, and the two legs are taken as b and c, then by the Pythagoras Theorem, we can write that:
a² = b² + c².
In the question, we are given that the right triangle ABC, has legs of lengths 5 and 12 inches each, and we are asked to find the length of the hypotenuse.
Thus, taking b = 5 and c = 12, in the above equation, we get:
a² = 5² + 12²,
or, a² = 25 + 144,
or, a² = 169,
or, a² = 13²,
or, a = 13.
Thus, the hypotenuse of the right triangle ABC, with legs of 5 and 12 inches is 13 inches, computed using the Pythagoras Theorem. Hence, the 3rd option is the right choice.
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The perimeter of a rectangular book is 16.84 cm. find the length of the rectangular book (in decimals) whose width is 18/7 cm. estimate to the nearest tenths place.
The length of the rectangular book is 5.8cm
In Euclidean plane geometry, a rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal (360°/4 = 90°); or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square. The term oblong is occasionally used to refer to a non-square rectangle.
The perimeter of a rectangle is found by adding up the length of all four sides. The formula for the perimeter of a rectangle is,
P = length + breadth + length + breadth. Or, P = 2(length + breadth)
Given:
Perimeter = 16.84 cm.
length = 18/7 cm
substituting in the formula we get
16.84 = 2( 18/7 + width)
8.42 = 18/7 + width
5.8 cm = width
Thus the length of the rectangular book is 5.8cm.
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Michael has never taken a foreign language class, but is doing a story on them for the school newspaper. The school offers French and Spanish. Michael has a list of all 25 kids in the school enrolled in at least one foreign language class. He also knows that 18 kids are in the French class and 21 kids are in the Spanish class. If Michael chooses two kids at random off his list and interviews them, what is the probability that he will be able to write something about both the French and Spanish classes after he is finished with the interviews
The probability that kids will be able to write something about both the French and Spanish classes after he is finished with the interviews is 91/100.
Given 25 kids has enrolled in atleast one foreign language class. 18 kids are in French class and 21 kids are in Spanish class.
We have to find the probability that kids will be able to write something about both the French and Spanish classes after Michael is finished with the interviews.
Let F is a set showing students knowing French,
S be a set showing students knowing Spanish ,
FS= Showing students both enrolled in one languages.
FS=F+S-(F∪S)
=18+21-25
=14
F-18-14=4
S=21-14
=7
4 outcomes lead to Michael being able to write both the languages are (F,S),(FS,S)(FS,F)(FS,FS)
Required probability is the sum of all the probabilities of (F,)(FS,S)(FS,F)(FS,FS)
P(F,S)=[tex]4C_{1}*7C_{1}/25C_{2}[/tex]
=(4*7)/300
=28/300
P(FS,S)=[tex](14C_{1}*7C_{1} )/25C_{2}[/tex]
=14*7/300
=98/300
P(FS,F)=[tex](14C_{1}*4C_{1} )/25C_{2}[/tex]
=14*4/300
=56/300
P(FS,FS)=[tex]14C_{2}/25C_{2}[/tex]
=91/300
Required probability=28/300+98/300+56/300+91/300
=(28+98+56+91)/300
=273/300
=91/100
Hence the probability that kids will be able to write both the languages is 0.91.
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In algebra, there are lots of rules and properties to remember. The good news is that once you understand them, you can apply them in lots of different orders and combinations?
Answer:
According to Dr. Davis' law of conversion, we are able to rewrite the equation in any order we need to so that we can solve it in multiple ways. For example, we may choose to add/subtract first, then multiply/divide. Dr. Davis discovered that when solving equations order of operations does not need to be followed.
Step-by-step explanation:
Let's suppose you're getting a new phone plan. The phone plan charges a flat fee of $5 and costs $9 a month. How can we represent this relationship?
Since $5 is a flat fee, it doesn't change based on how many months you've had the plan because it always remains $5, so this is our y-intercept.
Because the plan costs $9 a month, this represents our rate of change, or slope, showing that every month you have the plan, you multiply by $9.
So, we can show this as y=9x+5 where x is the number of months of the phone plan and y is the cost of the phone plan given x amount of months
Now, what if you wanted to know how much the phone plan would cost after 4 months?
Simple enough, we can just substitute x=4 into our equation and get y=9(4)+5=36+5=41. So, getting the phone plan for 4 months costs $41.
Let's take this the other way around. What if we wanted to figure out how many months of the phone plan are covered by $50?
We would then substitute y=50 into our equation and solve for x:
y=9x+5
50=9x+5
45=9x
5=x
This would mean $50 would cover 5 months of the phone plan.
All in all, these are real-life examples of algebra.
Calculate the angle of depression from the
top of the flag pole to point A.
Give your answer to 1 d.p.
A
34 feet
27 feet
Answer: [tex]52.6^{\circ}[/tex]
Step-by-step explanation:
Let the angle of depression be x.
[tex]\sin x=\frac{27}{34}\\\\x=\sin^{-1} \left(\frac{27}{34} \right) \approx 52.6^{\circ}[/tex]
-6. The area of trapezium in cm² is A. 276 C. 207 B. 240 D. 225
Answer:
276 cm²
Step-by-step explanation:
Area of trapezium:Construct a line DE parallel to AB.
DE = 13 cm
So, ABED is a parallelogram
In ΔDEC,
DE = a = 13 cm
EC = AB - BE
= 30 - 16
EC = b = 14 cm
DC = c = 15 cm
Use Heron's formula to find the area of triangle.
[tex]\sf s = \dfrac{a+b+c}{2}\\\\=\dfrac{13+15+14}{2}\\\\=\dfrac{42}{2}\\\\s = 21[/tex]
s-a = 21 - 13 = 8
s - b = 21 - 14 = 7
s - c = 21 - 15 = 6
[tex]\sf \boxed{\bf Area \ of \ triangle = \sqrt{s(s-a)(s-b)(s-c)} }[/tex]
[tex]\sf = \sqrt{21 * 8 * 7* 6}\\\\=\sqrt{3 * 7 * 2* 2 * 2 * 7 * 2 * 3}\\\\= 3 * 7 * 2 * 2\\\\= 84 \ cm^2[/tex]
Area of ΔDEC = 84 cm²
[tex]\sf \dfrac{1}{2}*base * height = 84\\\\ \dfrac{1}{2}*14*height = 84[/tex]
[tex]\sf height =\dfrac{84*2}{14}\\\\[/tex]
= 6 *2
height = 12 cm
Now we know the height of the trapezium. h = 12 cm
The length of the parallel sides are a = 30 cm & b =16 cm
[tex]\sf \boxed{Area \ of \ trapezium = \dfrac{(a +b)*h}{2}}[/tex]
[tex]\sf =\dfrac{(30+16)*12}{2}\\\\=\dfrac{46*12}{2}\\\\= 23 * 12\\\\= 276 \ cm^2[/tex]
t14= 46, and t19= 100, find t3, t7, and tn
The terms are as follows:
t₃ = -62
t₇ = -29.6
tₙ = 10.8n - 105.2
How to find terms of an arithmetic sequence?t₁₄ = 46
t₁₉ = 100
Therefore,
tₙ = a + (n - 1)d
where
a = first termd = common differenceHence,
46 = a + 13d
100 = a + 18d
5d = 54
d = 10.8
46 - 13(10.8) = a
a = 46 - 140.4
a = - 94.4
t₃ = a + 3d = - 94.4 + 3(10.8) = -62
t₇ = a + 6d = - 94.4 + 6(10.8) = -29.6
tₙ = -94.4 + 10.8n - 10.8 = 10.8n - 105.2
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Alicia walked 3 m east and then 6 m north. How far is she from the starting point?
Answer:
6.708 miles
Step-by-step explanation:
She walked 3 miles to the right, and 6 miles up. The shortest route she could take back to her starting point is a diagonal, which we can solve for using the Pythagorean theorem, a^2 + b^2 = c^2. We're solving for c.
9 + 36 = c^2
c^2 = 45
c = 6.708
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can someone help me with this
Considering the given graph of the function, we have that:
Function Notation: f(1) = -3.Ordered pair: (1,-3).Verbal statement: If x is equal to -1, then the value of f(x) is equal to -3.How to find the numeric value of a function looking at it's graph?To find the numeric value of the function, we get a value of x(horizontal axis), and then look at the corresponding value y(vertical axis), then y = f(x).
In the graph of this function, we have that when x = 1, y = -3, hence:
Function Notation: f(1) = -3.Ordered pair: (1,-3).Verbal statement: If x is equal to -1, then the value of f(x) is equal to -3.More can be learned about functions at https://brainly.com/question/25537936
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Given a line segment that contains the points A,B, & C in order, and given B is the midpoint of AC, if AB = 4x - 3, and BC = 2x + 7, find x.
Answer:
x = 5
Step-by-step explanation:
given B is the midpoint of AC , then
AB = BC ( substitute values )
4x - 3 = 2x + 7 ( subtract 2x from both sides )
2x - 3 = 7 ( add 3 to both sides )
2x = 10 ( divide both sides by 2 )
x = 5
if a six-sided die is rolled find the odds that the number will be a multiple of 2?
find x
options;
a) 21√2/2
b) 21√2
c) 21√3/2
d) 7
The value of x is 21√2/2
The correct option is (A)
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles.
In triangle having angle 60.
sin 60 = P/ 7√3
√3/2= P/7√3
2P= 21
P= 21/2
Now again
cos 45= 21/2/x
1/√2 = 10.5/x
x= 21√2/2
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Find the critical value or values of x² based on the given information.
H₁:0> 26.1
n = 9
a = 0.01
A) 20.090
B) 2.088
C) 1.646
D) 21.666
Using a calculator for the chi-square distribution, the critical value is given by:
A) 20.090
How to find the critical value of the chi-square distribution?For a chi-square critical value, three parameters are needed:
The number of degrees of freedom, which is one less than the sample size.The significance level.The tail.In this problem, we have a one-tailed test(as we are testing if the mean is greater than a value), with a significance level of 0.01 and 8 df, hence, using a calculator, the critical value is of 20.09, hence option A is correct.
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given: AB is congruent to CD and BC is congruent to AD Prove: AB ll CD and BC ll AD
We'll prove first the triangles formed by diagonal are congruent then we'll prove the angles on either side of diagonal are congruent.
The steps are:
Step ⇒ Statement ⇒ Reason=============================================================
1 ⇒ AB ≅ CD and BC ≅ AD ⇒ Given2 ⇒ AC = CA ⇒ Common side3 ⇒ ΔABC ≅ ΔCDA ⇒ Side-side-side congruence4 ⇒ ∠BAC ≅ ∠DCA ⇒ Corresponding angles of congruent triangles5 ⇒ ∠BAC and ∠DCA are alternate interior angles ⇒ Definition of alternate interior angles6 ⇒ AB║CD ⇒ The converse of alternate interior angles theorem 7 ⇒ ∠BCA ≅ ∠DAC ⇒ Corresponding angles of congruent triangles8 ⇒ ∠BCA & ∠DAC are alternate interior angles ⇒ Definition of alternate interior angles9 ⇒ BC║AD ⇒ The converse of alternate interior angles theoremWhich exponential equation with base of 2, has been reflected on y -axis, vertically compressed by a factor of 1/3 and vertically translated up 2 units:
*
By applying the rigid transformations of reflection on y-axis, vertical compression and vertical translation, we find the transformed function based on f(x) = 2ˣ is f''(x) = (1/3) · 2⁻ˣ + 2.
How to derive a function by using rigid transformations
Rigid transformations are transformations applied on functions such that their Euclidean distance is conserved. In this problem we must use the following rigid transformations to determine an expression based on f(x) = 2ˣ.
Reflection on y-axis
f'(x) = f(-x) (1)
f'(x) = 2⁻ˣ
Vertical compression
f''(x) = k · f'(x) (2)
f''(x) = (1/3) · 2⁻ˣ
Vertical translation
f'''(x) = f''(x) + c (3)
f''(x) = (1/3) · 2⁻ˣ + 2
By applying the rigid transformations of reflection on y-axis, vertical compression and vertical translation, we find the transformed function based on f(x) = 2ˣ is f''(x) = (1/3) · 2⁻ˣ + 2.
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