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The cost, in dollars, of a gym membership for n months can be described by the explicit equation Pn = 70 + 30n. What does this equation tell us?
Answer:
30 plus 70 equals 100
Step-by-step explanation:
it tells the gum explicit equation
Find the equation of a line parallel to y'= -8x+6.
Answer:
The equation must include -8 as the slope
Step-by-step explanation:
Hi there!
Two key points to keep in mind:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0).Parallel lines always have equal slopesGiven the equation y=-8x+6, we can identify that -8 is in the place of m in y=mx+b, making it the slope.
For a line to be parallel to y=-8x+6, it would have to have a slope of -8 as well. This is the only quality a line needs to be parallel to this given line.
I hope this helps!
Find the distance from (4,2) to the line defined
by y = -2x + 5. Express as a radical or a number
rounded to the nearest hundredth.
Answer:
The desired distance is √5
Step-by-step explanation:
Recall that the distance from a point to a line is measured along a path perpendicular to the line. Thus, given the line y = -2x + 5, the slope of any line perpendicular to it is the negative reciprocal of -2: +1/2.
The line perpendicular to y = -2x + 5 and passing through (4, 2) is
y - 2 = (1/2)(x - 4), or
2y - 4 = x - 4, or 2y = x, or y = (1/2)x.
Now our problem becomes "find the length of the line connecting (4, 2) and the intersection of y = -2x + 5 and y = (1/2)x."
Equating these, we get (1/2)x = -2x + 5, which, if multiplied through by 2, becomes x = -4x + 10, or 5x = 10, or x = 2. If x = 2, then y = (1/2)(2) = 1.
Finally, find the distance between (2, 1) and (4, 2):
Using the Pythagorean Theorem, d = √(2^2 + 1^2) = √5
The distance from (4, 2) to the line y = -2x + 5 is √5
Which equation represents a line that passes through (5, 1) and has a slope of ?
O y-5 = {(x-1)
Oy- } = 5(x –1)
Oy-1 = {(x–5)
Oy - 1 = 5(x-)
Answer:
y - 1 = 5(x - 5)
Step-by-step explanation:
Given the following data;
Points (x, y) = (5, 1)
Slope = ?
From the question, the value of the slope is missing. Hence, let's assume a value of 5.
Mathematically, the equation of a straight line is given by the formula;
y = mx + c
Where;
m is the slope.
x and y are the points
c is the intercept.
To find the equation of line, we would use the following formula;
y - y1 = m(x - x1)
Substituting into the formula, we have;
y - 1 = 5(x - 5)
y - 1 = 5x - 25
y = 5x - 25 + 1
y = 5x - 24 = mx + c
15
Type the correct answer in each box. If necessary, round your answer(s) to the nearest hundredth.
The vertices of ABC are Al-2, 2), B6, 2), and 90, 8). The perimeter of ABC is
units, and its area is
square units.
9514 1404 393
Answer:
perimeter: 22.81 unitsarea: 24 square unitsStep-by-step explanation:
The lengths of the sides can be found using the distance formula.
d = √((x2 -x1)^2 +(y2 -y1)^2)
AC = √((0 -(-2))^2 +(8 -2)^2) = √(4+36) = 2√10
BC = √((0 -6)^2 +(8 -2)^2) = √(36+36) = 6√2
The distance AB is the difference of the x-coordinates of the points: 6-(-2) = 8.
Then the perimeter is ...
P = a + b + c = 6√2 +2√10 +8 = 8.49 +6.32 +8 = 22.81 . . . units
__
The height of the triangle is the difference in y-values between vertex C and line AB: 8 -2 = 6. The area is given by the formula ...
A = 1/2bh
A = 1/2(8)(6) = 24 . . . square units
Which choice describes symmetry?
A. When something is exactly the same on one side as it is on the
other side.
B. When something looks completely different on one side than
the other side.
C. When something has a spherical shape.
Answer: A. When something is exactly the same on one side as it is on the
other side
Step-by-step explanation: symmetry mean symmetrical: aka they look the same :) hope this helped!
Find the cost of eight apples at 50c each, three oranges at 35c each and 5 kg of bananas at
$2.69 per kilogram. show your working.
Answer:
1850 cents or $18.50
Step-by-step explanation:
50*8=400
3*35=105
5*269=1345 ($2.69 can be converted to 269 cents)
400+105+1345=1850
(6) Milan added 3 fish to his pond each day for 27 days. What was the total change in the number
of fish in the pond?
fish
Answer: 81
Step-by-step explanation: 27 times 3 = 81
Answer: 81
Step-by-step explanation: 21 times 3
What are the rational roots of f(d) = 5d - 6 + d-8?
PLEASE HELP MEEEE I really need it!!!
the input values are the x-values.
true or false
false
Step-by-step explanation:
ita really false yoooooooooooooo
A volleyball team wins 105 games, which is 70% of the games played. How many games were played?
The total number of games played is
Answer:
70/100 = 105/X ---> 70X = 10,500 ---> X = 150 games played.
Step-by-step explanation:
3 tons of topsoil cost $2,040.00. What is the price per pound?
Answer:
$0.34/pound
Step-by-step explanation:
1 ton = 2000 pounds
3 tons = 6000 pounds
-------------------------
2040/6000 = $0.34/pound
The solution set for -18 < 5x - 3 is _____.
3 > x
3 < x
-3 < x
-3 > x
Answer:
[tex]-3 < x[/tex]
Step-by-step explanation:
Given
[tex]-18 < 5x-3[/tex]
Required
The solution
[tex]-18 < 5x-3[/tex]
Add 3 to both sides
[tex]3-18 < 5x-3+3[/tex]
[tex]-15 < 5x[/tex]
Divide both sides by 5
[tex]-3 < x[/tex]
 please helpppp!!! it’s timed!!!! thank u for helping!!!!!
Answer:
[tex]4 \pi {?}^{2} [/tex]
hope it is helpful to you
Translate the phrase into an algebraic expression.
3 more than b
Answer:
b+3 or 3+b
Step-by-step explanation:
A restaurant charges large parties an amount that depends on the number of people
that are eating. The restaurant charges $650 for 25 people and $1,850 for 80 people.
What is the restaurant charging per person (unit rate)?
Answer:
$26 per person or $23.125 per person for the bigger group
Step-by-step explanation:
evaluate g(x)=x/x-3, if g(1/2)
Answer:
-1/5
Step-by-step explanation:
g(x) = x/(x-3)
Substituting x = 1/2 in g(x),
g(1/2) = 1/2/(1/2-3)
= 1/2/(1/2-6/2)
= 1/2/(-5/2)
= 1/2 ÷ - 5/2
= 1/2 x -2/5
= - 1/5
Step-by-step explanation:
here is your answer
here is your answer
HELP!! Emma made punch with
1
4
How many gallons of ginger ale does she need to add to make a total of 4 gallons of punch?
Part A
Which diagram can Emma use to help find the number of gallons of ginger ale she needs?
O
B.
A.
4 gal
g
g
9
g
1
2
7
8
3
4
g
O
D.
g
g
Part A
Answer: Choice B (upper right corner)Explanation: Simply add the fractions mentioned, plus the g term, and that leads to a total of 4 gallons overall.
=====================
Part B
Answer: Choice A. 7/8 of a gallon (upper left corner)Explanation:
The mixed number 1 & 1/2 converts to the improper fraction 3/2
Adding the fractions gets us to
(3/2) + (7/8) + (3/4)
(12/8) + (7/8) + (6/8)
(12+7+6)/8
25/8
So far, 25/8 of a gallon is accounted for. Add on the g to get (25/8)+g
Set this equal to the 4 gallons we want and solve for g
(25/8)+g = 4
g = 4 - (25/8)
g = (32/8) - (25/8)
g = (32-25)/8
g = 7/8
She needs 7/8 of a gallon of ginger ale
This is a 30-60-90 triangle. What is the measure of x?
petrol and engine oil has to mix in the ratio 5 : 2 for a certain motorcycle how much engine oil is needed to mix with 10 litres of petrol
Answer:
4 liters of engine oil
Step-by-step explanation:
petrol : engine oil
5:2
10:?
we notice that if we double 5:2 becomes 10:4 so the missing part of engine oil is 4.
Help me complete this
Answer:
x = 9.9 in.
Step-by-step explanation:
area of triangle = base * height /2
49 = x*x /2
49*2 = x^2
98 = x^2
[tex]\sqrt{98}[/tex] = x
[tex]7\sqrt{2}[/tex] = x
9.9 = x
Records show that 12% of all college students are foreign students who also smoke. It is also known that 40% of all foreign college students smoke. What percent of the students at this university are foreign
Answer: the percent of the students at this university are foreign = 30%
Step-by-step explanation:
Given: Probability that college students are foreign students who also smoke: P(S|F)=0.12
Probability that foreign college students smoke P(S∩F)=0.4
The probability that the students at this university are foreign :
[tex]P(F)=\dfrac{P(S\cap F)}{P(S|F)}[/tex] [By conditional probability formula]
[tex]=\dfrac{0.12}{0.4}\\\\=0.3[/tex]
Hence, the percent of the students at this university are foreign = 30%
Round 51,939 to the nearest thousands
Answer:
50,000
Step-by-step explanation:
in my opinion I would think this would be the answer because you are rounding to the nearest 10,000
In the triangle below, which is equivalent to sinA?
Right triangle A B C is shown. B is the right angle and side A C is the hypotenuse.
sinC
sinB
cosA
cosC
Answer:
CosC
Step-by-step explanation:
EDG
Consider a species of bird that can be split into three age groupings: those aged 0-1 years, those aged 1-2 years, and those aged 2-3 years. The population is observed once a year. Given that the Leslie matrix is equal to
Answer: hello your question lacks some information attached below is the complete question
answer :
a) attached below
b) 65 students aged 1-2 years
Step-by-step explanation:
For a Leslie matrix ; there is a relation
Pn = L^n Po where ; Pn = population vector after n years , Po = initial population vector .
a) Initial population vector
attached below
[tex]\left[\begin{array}{ccc}1100\\2400\\3200\end{array}\right][/tex]
b) Number of birds aged 1-2 years are available after 10 years
i.e. P10 = L^10 Po
note : Po = Xo
∴ P10 = [tex]\left[\begin{array}{ccc}0&2&1\\0.2&0&0\\0&0.4&0\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}1100\\2400\\3200\end{array}\right][/tex]
we will apply MATLAB to resolve the above matrix
P10 = [tex]\left[\begin{array}{ccc}217.91\\65.24\\31.911\end{array}\right][/tex]
∴ Number of children between 1-2 years left after 10 years = 65.24 ≈ 65
The total number of birds aged between 1-2 years which are available after 10 years is 65 and this can be determined by using the Leslie matrix relation.
Given :
Consider a species of bird that can be split into three age groupings: those aged 0-1 years, those aged 1-2 years, and those aged 2-3 years. [tex]\rm L = \left[\begin{array}{ccc}0&2&1\\0.2&0&0\\0&0.4&0\end{array}\right][/tex]According to the given data, the initial population vector is given by:
[tex]x_0 = \left[\begin{array}{ccc}1100\\2400\\3200\end{array}\right][/tex]
Now, the total number of birds aged between 1-2 years which are available after 10 years is:
[tex]\rm P_{10} = \left[\begin{array}{ccc}0&2&1\\0.2&0&0\\0&0.4&0\end{array}\right] \left[\begin{array}{ccc}1100\\2400\\3200\end{array}\right][/tex]
Now, solve the above matrices in order to determine the value of [tex]\rm P_{10}[/tex].
[tex]\rm P_{10} = \left[\begin{array}{ccc}217.91\\65.24\\31.911\end{array}\right][/tex]
Therefore, the total number of birds aged between 1-2 years which are available after 10 years is 65.
For more information, refer to the link given below:
https://brainly.com/question/16823190
.
Given g(x)=-x+4, find g(-4)
Answer:
g(-4) = 8
Step-by-step explanation:
g(-4) = - ( - 4 ) + 4
= 8
If this helps you, please give brainliest!
What are the coordinates of the vertex of the parabola described by the
equation below?
y= 2x+52-3
O A (-5.3)
0
B. (-3.-5)
C. (3.5)
O D. (5-3)
ANSWER ASAP!
Step-by-step explanation:
please type the question properly
Calculate 18t -t +69-6
Answer:
17t + 63Step-by-step explanation:
18t - t + 69 - 6
= 17t + 63 (Ans)
Answer:
17t + 63
Step-by-step explanation:
18t - t + 69 - 6
subtract we get
17 t + 63
Use the table to approximate AB in the triangle below.
Answer:
Answer is 6.1 units
Step-by-step explanation:
The measure of length of AB in the triangle ABC is 6.1 units.
What are trigonometric ratios?The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
In the given triangle ABC, BC=5 and ∠A=55°.
We know that, sinθ= Opposite leg length/Hypotenuse length
Here, sinA=BC/AB
sin55°=5/AB
0.82=5/AB
AB=5/0.82
AB=6.1 units
Therefore, the measure of length of AB in the triangle ABC is 6.1 units.
Learn more about the trigonometric ratios here:
brainly.com/question/25122825.
#SPJ2
Can someone help I forgot what formal to use?
Answer:
1) V = 336mm
2) V = 64.33ft
Step-by-step explanation:
1) V = lwh + lwh
V = 4(6)(5) + 9(6)(4)
V = 120 + 216
V = 336mm
2) V = [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex]r^{2}[/tex]h +
Cone = [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex]r^{2}[/tex]h
Cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h
V = [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex](1.5)^{2}[/tex](3) +
V = [tex]\pi[/tex][tex](1.5)^{2}[/tex] +
V = 7.07 + 57.26
V = 64.33ft
