Answer:
Mₙ= 3*1.2⁽ⁿ⁻¹⁾
Step-by-step explanation:
week 1- 3 miles
week 2 - +20% ⇒ 3*1.2
week 3- +20% ⇒ 3*1.2*1.2
...
week n- +20% ⇒ 3*1.2⁽ⁿ⁻¹⁾
Mₙ= 3*1.2⁽ⁿ⁻¹⁾
Mₙ - miles on week n
Homework help, one of the few I have
Answer:
x=4 and the solution is not extraneous
Step-by-step explanation:
[tex]\sqrt{2x+1}=3 \\\\2x+1=9 \\\\2x=8 \\\\x=4[/tex]
This solution is not extraneous, because plugging it back in you get:
[tex]\sqrt{2(4)+1}=3 \\\\\sqrt{9}=3 \\\\3=3[/tex]
Hope this helps!
Answer:
X = 4, solution is not extraneous
Step-by-step explanation:
3 = √9
so we get the following comparison;
2X + 1 = 9 (both minus 1)
2X = 8 (divide by 2)
X = 4
if we fill in 4 for X. we get
√2•4+ 1 = √9 = 3 so the solution is not extraneous
The slope of a line is 2/3 . What is the slope of a line that is perpendicular to this line?
Answer:
-3/2
Step-by-step explanation:
With perpendicular lines, the slope switches to its reciprocal and and positive/negative sign switches, i.e, the 2/3 will switch to 3/2 and since the original is positive, the new slope will be negative
Answer:
Slope is -3/2
Step-by-step explanation:
The slope of line that is perpendicular to the line should have a slope that is a negative reciprocal of this slope and multiplying both slopes give us -1
=> The slope of this line is 2/3
=> The slope of line perpendicular to it would be -3/2
Multiplying the two slopes:
=> (2/3)*(-3/2)
=> -1
Please solve it the answer is (a+b-2) (a-b+2) should be take out question a^2-b^2+4b-4
Answer:
see explanation
Step-by-step explanation:
Given
(a + b - 2)(a - b + 2)
Each term in the second factor is multiplied by each term in the first factor, that is
a(a - b + 2) + b(a - b + 2) - 2(a - b + 2) ← distribute the parenthesis
= a² - ab + 2a + ab - b² + 2b - 2a + 2b - 4 ← collect like terms
= a² - b² +4b - 4
Answer:
this may help uh to get answer..
Triangle ABC has the angle measures shown. Measure of angle A = (2 x) degrees. Measure of angle B = (5 x) degrees. Measure of angle C = (11 x) degrees. Which statement is true about the angles?
This question is incomplete because it lacks the appropriate options
Complete Question
Triangle ABC has the angle measures shown. Measure of angle A = (2 x) degrees. Measure of angle B = (5 x) degrees. Measure of angle C = (11 x) degrees.
Which statement is true about the angles?
a) Measure of angle A = 20 degrees
b) Measure of angle B = 60 degrees
c) Angle A and Angle B are complementary
d) Measure of angle A + measure of angle C = 100 degrees
Answer:
a) Measure of angle A = 20 degrees
Step-by-step explanation:
It is known that the sum of angles in a triangles = 180°
We are given these values in the question
Triangle ABC has the angle measures shown. Measure of angle A = (2 x) degrees. Measure of angle B = (5 x) degrees. Measure of angle C = (11 x) degrees.
Therefore,
Angle A + Angle B + Angle C = 180°
2x + 5x + 11x = 180°
18x = 180°
x = 180°/ 18
x = 10°
Finding each of the angles
Angle A = 2x = 2 × 10 = 20°
Angle B = 5x = 5 × 10 = 50°
Angle C = 11x = 11 × 10 = 110°
Therefore, the correct option is:
a) Measure of angle A = 20 degrees
The true statement is required.
The true statement is that [tex]m\angle A=10^{\circ}[/tex]
[tex]\angle A=2x[/tex]
[tex]\angle B=5x[/tex]
[tex]\angle C=11x[/tex]
The sum of the angles in a triangle is [tex]180^{\circ}[/tex]
So
[tex]\angle A+\angle B+\angle C=180\\\Rightarrow 2x+5x+11x=180\\\Rightarrow 18x=180\\\Rightarrow x=\dfrac{180}{18}\\\Rightarrow x=10[/tex]
[tex]\angle A=2x=2\times10\\\Rightarrow \angle A=10^{\circ}[/tex]
The true statement is that [tex]m\angle A=10^{\circ}[/tex]
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HELP! 7th grade math! GIVE CORRECT ANSWER AND YOU WILL GET BRAINLIEST!!
Answer:
FG = 28
Step-by-step explanation:
You are given the ratio 1:2. That means that the photocopied monorail is twice as big as the original. All you need to do is multiply 14 by 2 to get your answer.
Answer:
FG=28
Step-by-step explanation:
cuz the ratio is 1:2 so 14*2=28
Can I get help with this problem
Answer:
x = 116°
y = 90°
Step-by-step explanation:
∠F = 90°, so arc EDS = 180°.
Therefore, arc EFS = 360° − 180° = 180°. Which means ∠D = 90°.
Angles of a quadrilateral add up to 360°, so:
x + 90° + 90° + 64° = 360°
x = 116°
Answer:
The value of x is 116° and y = 90°
Step-by-step explanation:
Given that opposite supplementary angles in a cyclic quadrilateral is 180° :
[tex]x + 64 = 180 \\ x = 180 - 64 \\ x = 116[/tex]
[tex]y + 90 = 180 \\ y = 180 - 90 \\ y = 90[/tex]
Evaluate -32 + (2-6)(10).
Answer:
-72
Step-by-step explanation:
-32 + (2-6)(10).
PEMDAS
parentheses first
-32 + -4*10
Then multiply
-32 -40
Then subtract
-72
Answer:
-49
Step-by-step explanation:
Very buys a basket of mangoes that is priced $14 before tax. The sales tax is 6%. What is the total price Avery pays for the basket of mangoes
Answer:
Avery needs to pay $14.84
Step-by-step explanation:
When there's a tax we need to sum the original value of the product with the tax's value. To find the amount of money Avery needs to pay in taxes we can apply a rule of three as shown below:
[tex]\frac{14}{x} = \frac{100}{6} \frac{\%}{\%}[/tex]
Where "x" is the tax value, and $14 represents 100%, since it's the value used to calculate the tax. We have:
[tex]x = \frac{14*6}{100}\\x = \frac{84}{100}\\x = 0.84[/tex]
The value to be paid is the product value plus the tax, therefore:
[tex]\text{paid} = 14 + 0.84 = 14.84[/tex]
Avery needs to pay $14.84
What is the contrapositive of the conditional statement? If two variables are directly proportional, then their graph is a linear function. If two variables are directly proportional, then their graph is not a linear function. If two variables are not directly proportional, then their graph is not a linear function. If the graph of two variables is a linear function, then the two variables are directly proportional. If the graph of two variables is not a linear function, then the two variables are not directly proportional
Answer:
D. "If the graph of two variables is not a linear function, then the two variables are not directly proportional"
Step-by-step explanation:
The contrapositive of a statement is basically you changing the conditional part of the statement with its result and then finding the negative of both. This is called Contraposition.
So, for the statement given:
"If two variables are directly proportional, then their graph is a linear function."
The contrapositive will be:
"If the graph of two variables is not a linear function, then the two variables are not directly proportional"
Answer:
d
Step-by-step explanation:
Solve this equation using the quadratic formula (preferably): 3x^2 - 4x + 6 = 0
Answer:
x = 2/3 ± i√14/3
Step-by-step explanation:
The expression 8x2 − 176x + 1,024 is used to approximate a small town's population in thousands from 1998 to 2018, where x represents the number of years since 1998. Choose the equivalent expression that is most useful for finding the year where the population was at a minimum. 8(x − 11)2 − 56 8(x − 11)2 + 56 8(x2 − 22x + 128) 8(x2 − 22x) + 128
Answer:
8(x^2 − 22x + 128)
Step-by-step explanation:
8(x^2 − 22x + 128) Take 8 as a common factor
The equivalent expression that is most useful to find the year where the population is minimum is, 8(x-11)^2+56
What are quadratic equations?A quadratic equation is an algebraic expression of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, where a, b are the coefficients, x is the variable, and c is the constant term
Given an expression that represents the population from 1998 to 2018,
[tex]8x^2-176x+1024[/tex]
Let,
[tex]y=8x^2-176x+1024[/tex]
Which is an upward parabola,
Since, the minimum value of an upward parabola,
[tex]y=a(x-h)^2+k[/tex]
is find at x = h,
From equation (1),
[tex]y=8x^2-176x+1024[/tex]
[tex]y=8x^2-176x+968-968+1024[/tex]
[tex]y=8(x^2-22x+121)+56[/tex]
[tex]y=8(x-11)^2+56[/tex]
By comparing,
The population is minimum at x = 11. ( that is after 11 years since 1998 )
Hence, the equivalent expression that is most useful to find the year where the population is minimum is,8(x-11)^2+56
To know more about quadratic equations follow
https://brainly.com/question/25841119
Determine the value of $a$. [asy] pair w=(0,4); pair x=(0,0); pair y=(4,0); pair z=y+7/sqrt(2)*(1,1); dot(w); dot(x); dot(y); dot(z); draw(w--x--y--z--w); draw(0.15*w--0.15*w+0.15*y--0.15*y); label("$W$",w,NNW); label("$X$",x,SW); label("$Y$",y,SE); label("$Z$",z,E); label("4",(w+x)/2,W); label("4",(x+y)/2,S); label("9",(w+z)/2,NNW); label("$a$",(y+z)/2,SE); label("$135^\circ$",y,NNW); [/asy]
Answer:
a=7
Step-by-step explanation:
The image is rendered and attached below.
Triangle WXY is an Isosceles right triangle, since WX=XY.
First, we determine the length of WY using Pythagoras Theorem.
[tex]WY=\sqrt{4^2+4^2}\\WY=\sqrt{32}[/tex]
Since triangle WXY is Isosceles, [tex]\angle XYW=45^\circ[/tex]
[tex]\angle XYZ=\angle XYW+\angle WYZ\\135^\circ=45^\circ+\angle WYZ\\\angle WYZ=135^\circ-45^\circ=90^\circ[/tex]
Therefore:
Triangle WYZ is a right triangle with WZ as the hypothenuse.
Applying Pythagoras Theorem
[tex]WZ^2=WY^2+YZ^2\\9^2=(\sqrt{32})^2+a^2\\a^2=81-32\\a^2=49\\a^2=7^2\\$Therefore: a=7[/tex]
The value of a in the triangle illustrated is 7.
How to calculate the triangle?From the information, the length of WY will be:
WY = ✓4² + ✓4²
WY = ✓32
Therefore, angle WYZ will be:
= 135° - 45°
= 90°
Therefore, the value of a will be calculated thus:
a² = 9² - (✓32)²
a² = 81- 32
a = ✓49
a = 7
In conclusion, the value of a is 7.
Learn more about triangles on:
https://brainly.com/question/17335144
A girl was born 35 years after her mother what fraction of the mother's age would the girl be at age 15
Answer: 3/10
Step-by-step explanation:
Equations:
m = d + 35
When girl is 15, mom is 35+15 = 50
Ans: girl = (15/50) = 3/10 of the mother's age.
I KEE asking so many questions lol I just don’t understand!
Answer:
Perimeter = 20
Step-by-step explanation:
Perimeter = 9 + 5 + 6
Best Regards!
A school crossing sign is shown. Find the measures of angle A and angle C
Answer:
m∠A = 135°
m∠C = 135°
Step-by-step explanation:
There are 540° in a pentagon.
You are given 3 90° angles
540-90(3) = 270
∠A and ∠C are congruent
270/2 = 135° each
What is the scale factor of the dilation?
1/5
2/5
5/2
5/1
Answer:
C. 5/2
Step-by-step explanation:
A'B'/AB = 5/2
The digits of both the two-digit numbers in the first calculation below have been reversed to give the two-digit numbers in the second calculation. The answers to the two calculations are the same. 62 × 13 = 806 26 × 31 = 806 For which one of the calculations below is the same thing true
Answer:
42x48
Step-by-step explanation:
if the lateral edge of a regular tetrahedron is 8 cm, then it's altitude is?
Answer:
The altitude is 6.53 cm
Step-by-step explanation:
A regular tetrahedron is a triangular pyramid having equilateral triangular faces, therefore we have;
Sides of the equilateral triangle = 8 cm
Given that the slant height, the edge of the tetrahedron, and half the base edge of the tetrahedron form a right triangle, we have;
The slant height, h = √(8² - (8/2)²) = √48 = 4×√3
The segment representing the altitude, H, of the tetrahedron forms a right triangle with the edge of the tetrahedron and 2/3×h
Therefore;
8² = H² + (2/3×4×√3)²
H² = 8² - (2/3×4×√3)²
H² = 64 - 64/3 = 128/3
The altitude H = √(128/3) = √6×8/3 = 6.53 cm.
If p:q =3/4 :2 and p:r= 1/3 :1/2 find p:q:r Please explain with steps
Answer:
p : q : r = 1 : 8/3 : 3/2
Step-by-step explanation:
p/q = (3/4)/2 = 3/(4*2) = 3/8
=> q = (8/3)p
p/r = (1/3)/(1/2) = (1*2)/(3*1) = 2/3
=> r = (3/2)p
=> (p, q ,r) = (p, (8/3)p, (3/2)p)
=> p : q : r = 1 : 8/3 : 3/2
Hope this helps!
what is the area of the figure below use 3.14 for pie
Answer:
Answer CL 586 cm^2
Step-by-step explanation:
Hello. It's pi, not pie.
The area of the triangle is A1 = (1/2)(base)(height) = (1/2)(18 cm)(7 cm), or
A1 = 63 cm^2.
The area of the rectangle is A2 = (base)(height) = (18 cm)(22 cm) = 396 cm^2.
The area of the semicircle is A3 = (1/2)(pi)(9 cm)^2 = 3.14(81 cm^2)(1/2) = 127 cm^2
Thus, the total area of the figure is A = 127 cm^2 + 396 cm^2 + 63 cm^2, or
586 cm^2 approximately.
please see the attached picture for full solution...
Hope it helps...
Good luck on your assignment....
An equilateral triangle has an apothem measuring 2.16 cm
and a perimeter of 22.45 cm.
What is the area of the equilateral triangle, rounded to the
nearest tenth?
2.7 cm
4.1 cm2
16.2 cm2
24.2 cm
2.16 cm
Answer:
d) 24.2 cm²
Area of equilateral triangle A = 24.22 cm²
Step-by-step explanation:
Step(i):-
Perimeter of equilateral triangle = 3 a
Given Perimeter of equilateral triangle = 22.45 cm
now 3 a = 22.45
Dividing '3' on both sides,we get
a = 7.48 cm
Step(ii):-
Area of equilateral triangle
[tex]A = \frac{\sqrt{3} a^{2} }{4}[/tex]
[tex]A = \frac{\sqrt{3} (7.48)^{2} }{4}[/tex]
A = 24.22 cm²
Conclusion:-
Area of equilateral triangle A = 24.22 cm²
Answer:
The answer is 24.2
Step-by-step explanation:
on edg. 2020
HURRY PLEASE ANSWER MY QUESTION!!
Answer:
f(x) = 3.56(2.04)^x
Step-by-step explanation:
Put x as 2, to see whether the output will be close to 16.
116.4 - 42.8 ln(2) = 86.733301
2.04(3.56)^2 = 25.854144
3.56(2.04)^2 = 14.815296
-42.8 + 116.4 ln(2) = 37.882332
Put x as 3, to see whether the output will be close to 30.
116.4 - 42.8 ln(3) =69.379394
2.04(3.56)^3 = 92.040753
3.56(2.04)^3 = 30.223204
-42.8 + 116.4 ln(3) = 85.07847
Put x as 6, to see whether the output will be close to 271.
116.4 - 42.8 ln(6) = 39.712695
2.04(3.56)^6 = 4152.69615
3.56(2.04)^6 = 256.584846
-42.8 + 116.4 ln(6) = 165.760802
Put x as 7, to see whether the output will be close to 522.
116.4 - 42.8 ln(7) = 33.115046
2.04(3.56)^7 = 14783.598295
3.56(2.04)^7 = 523.433085
-42.8 + 116.4 ln(7) = 183.703941
The exponential function that models the data is f(x) = 3.56(2.04)^x.
The volume of a cube is 8cm3, find the length of one of it's sides
Answer:
The side length is 2 cm
Step-by-step explanation:
The volume of a cube is s^3
V = s^3
8 = s^3
Take the cube root of each side
8 ^ 1/3 = s^3 ^ 1/3
2 = s
The side length is 2 cm
Answer:
2 cm
Step-by-step explanation:
The volume of a cube can be found using the following formula:
V=s^3
where s is the length of one side. We know the volume is 8 cm^3, therefore we can substitute that value in for V.
8 cm^3=s^3
We want to find what the side length is. The side length is being cubed. The inverse of a cube is the cube root. Therefore, we must take the cube root of both sides, or raise both sides to the power of 1/3.
(8 cm^3)^1/3=(s^3)^1/3
(8 cm^3)^1/3=s
2 cm=s
The length of one side is 2 centimeters.
Find the equation of the line
Answer:
y = -2x + 9
Step-by-step explanation:
The slope of the line can be found from 2 points.
(y2-y1)/(x2-x1)
7-3/1-3
4/-2
= -2
-2 is the slope.
The y-intercept is 9.
The equation of a line is y=mx+b.
m is the slope, and b is the y-intercept.
y = -2x + 9
please help.. GP is geometric progression
Answer:
unanswerable,don't censore the question
Step-by-step explanation:
sorry pal
Answer:
n is the seventh term=5832
Step-by-step explanation:
a1=8
r=3
a(n)=a1*r^(n-1)=
an=8*3(n-1)
8+24+72+216+648+1944+5832=8744
NEED MATH HELP NOW!!! PLEASE HELP!!!
Answer:
Check the attachment below!
vertex= (0.5,-12.25)y-int= (0,-12)x-int= (-3,0) and (4,0)AOS= x=0.5domain= -∞ to ∞range= -12.25 to ∞Find the HCF of 150 and 250
Answer:
It is 50
Step-by-step explanation:
Answer:
50.
Step-by-step explanation:
150 = 2*3*5*5
250 = 2*5*5*5
From the common factors ( one pair of 2's and 2 pairs of 5's):
HCF = 2*5*5
= 50.
Mr Lee wants to top up his oil tank,the oil tank can take up to 1200liters .The tank already has 450l of oil. The price of oil is 81.5p per litre. Mr Lee gets a 7.5% discount on the price of the oil. How much discount does Mr Lee get on this perchance. Answer in £
Answer:
£45.84375
Step-by-step explanation:
To top up the tank he needs:
1200 - 450 = 750 liters
Since the price of oil is 81.5p per liter and he gets a 7.5% discount, the discount per liter is:
81.5 x 7.5/100 = 6.1125p
Since he needs 750 liters, the discount in total is:
6.1125 x 750 = 4584.375p
Since 1p = £0.01
The discount he gets in £ is:
4584.375 x 0.01 = £45.84375
Can I have some help please? Thanks!
Answer:
m∠A = 166°
Step-by-step explanation:
∠B and ∠A are corresponding angles because the two lines are congruent. Therefore:
7x + 40 = 3x + 112
Subtract 3x from both sides:
4x + 40 = 112
Subtract 40 from both sides:
4x = 72
Divide both sides by 4:
x = 18
Plug this in for ∠A:
∠A = 7 (18) + 40
m∠A = 166°
What is 12 1/2 - (-4 1/2)
Answer:
the correct answer is
Step-by-step explanation:
= 12 1/2 - (-4 1/2)
=17
hope this helps you!!!!!
Answer:
17
Step-by-step explanation:
12 1/2 - (-4 1/2)
Turn to improper fractions.
25/2 - (-9/2)
Negative times negative is positive.
25/2 + 9/2
Add fractions with common denominators.
34/2
Divide.
= 17