Hey there! :)
Answer:
a. b = y - mx
b. x = y - b /m
c. t = I/ pr
d. t = A - p/pr
Step-by-step explanation:
a. y = mx + b (for b)
Isolate the b variable by subtracting both sides by mx:
y - mx = b.
Therefore:
b = y - mx.
b. y = mx + b (for x)
Subtract 'b' from both sides:
y - b = mx
Divide 'm' from both sides:
y - b / m = x
c. I = prt
Divide both sides by pr:
I /pr = t.
d. A = p + prt
Subtract p from both sides:
A - p = prt
Divide both sides by pr:
A - p / pr = t
The path of a football kicked by a field goal kicker can be modeled by the equation y = -0.04x2 + 1.56x, where x is the
horizontal distance in yards and y is the corresponding height in yards. What is the approximate maximum height of the
football?
15.21 yd
19.5 yd
38.94 yd
45.63 yd
Answer:
19.5 yd
Step-by-step explanation:
To khown the maximum height we must derivate the function and see when the derivated function equals 0
Let f be our function : f(x)= -0.04x²+1.56x ⇒f'(x)= -0.08x+1.56
f'(x)= 0 ⇒ -0.08x+1.56 =0 ⇒1.56= 0.08 ⇒ x= 1.56/0.08 ⇒ x=19.5 so the maximum height is 19.5 yd
Answer:
45.63
Step-by-step explanation:
PLEASE HELP, I WILL MARK YOU BRAINIEST Identify if the relationship represented in the tables below is linear. If the table is linear, write the equation of the line.
Answer:
a) Yes. y=-4x+2. b) No.
Step-by-step explanation:
a) For every section of the graph as x goes up 1, y does down 4. It has a proportional relationship and you can use the rise and run found to do rise/run and get a slope of -4 and when x is at 0, y is at 2, giving you a y-intercept of 2.
b) There is no proportional relationship using addition and subtraction so the graphed line would not be straight.
using y2-y1 over x2-x1 the first table is 10-14 over -2--3 which would be -4 over 1
The next one would be 4 over -1
Not 100 percent sure
Assume that all triangles have interior angles less than 90°.A surveyor sights on a survey marker that is 132.3m distant. She needed to turn her transit (her survey instrument) 75° to sight on a second survey marker. She knows that from the second marker, the angle between the line of site from her own position and the first marker is 68°. How far is she from the second marker?
Answer:
85.9 m
Step-by-step explanation:
The law of sines can help figure this.
The remaining angle in the triangle is ...
180° -75° -68° = 37°
This is the angle opposite the leg from the surveyor to the second marker. Referencing the attachment, we have ...
b/sin(B) = c/sin(C)
b = sin(B)·c/sin(C) = 132.3·sin(37°)/sin(68°) ≈ 85.873 . . . meters
The surveyor is about 85.9 meters from the second marker.
Find the area of the triangle. A. 17.7 B. 6.1 C. 8.1 D. 21.4
Answer:
17.7
Step-by-step explanation:
Area of a triangle is 1/2×L×B
since a degree is given we are to multiply it with it and we are to use SIN
so 1/2×sin65×4.5×13.1
sin65= 0.6018
so 1/2×0.6018×4.5×13.1
=35.47/2
=17.7
The area of the triangle is 17.7 square inches option (A) 17.7 is correct.
What is the triangle?In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
We know,
The area of the triangle:
A = ab(sinx)/2
a = 13.1 cm, b = 4.5 cm, x = 37 degrees
A = 13.1×4.5(sin37)/2
A = 29.475sin37
A = 17.7 square inches
Thus, the area of the triangle is 17.7 square inches option (A) 17.7 is correct.
Learn more about the triangle here:
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Which summation formula represents the series below?
5+ 7+ 9+ 11
Answer:
second one
Step-by-step explanation:
it is the second one , it has three expression starts with 5
when n=0 :2n+5=2(0)+5=5
n=1 : 2n+5=7
n=2: 2n+5=4+5=9
n=3: 2n+5=11
Answer: B
Step-by-step explanation:
evaluate √ 9.6230 * 2.340 / 5.3 10 * 3.721
Answer:
[tex]\sqrt{15.76}[/tex]
Step-by-step explanation:
[tex]\sqrt{9.6230 \frac{2.340}{5.310}3.721 }[/tex]
Lets solve the fraction first
[tex]\frac{2.340}{5.310} =0.44[/tex]
9.6230 x 0.44 = 4.23
4.23 x 3.721 = 15.76
[tex]\sqrt{15.76}[/tex]
The temperature of a city changed by -20°C over a four week. If the temperature changed by the same amount each week write an expression to show the average change in the temperature of the week simplify the expression and explain using words what your answer means
Answer:
A) [tex]T=\frac{-20}{4}[/tex]
B) T = -5 °C
Step-by-step explanation:
A) Let T be the change in temperature of the week. T is determined as the total temperature change (-20°C) divided by the number of weeks that have passed (4 weeks). The expression is:
[tex]T=\frac{-20}{4}[/tex]
B) In order to simplify the expression, simply perform the division.
[tex]T=\frac{-20}{4}\\T=-5^oC[/tex]
This means that the temperature has dropped by 5 degrees each week.
please I need answers
Answer:
9, 11, 1, 0, 11
There's a patern
Answer:
Ans: 9,11,1,0,11. Do u need the workings
14. A wheel turns through 90 revolutions per minute.
How many degrees does it turn through in 1 second?
1 revolution = 360 degrees
360 degrees x 90 revolutions per minute = 32,400 degrees per minute.
1 minute = 60 seconds.
32,400 degrees per minute / 60 seconds = 540 degrees per second.
1)make x the subject of h=4(x+3y)+2 2) make a the subject of a^2+b^2=c^2
Answer:
[tex]\frac{h-12-2}{4} = x[/tex] & a² = c² - b²
Step-by-step explanation:
h = 4 (x + 3y) + 2
Expand brackets
h = 4x + 12y + 2
Subtract 12y & 2 from both sides
h - 12y - 2 = 4x
Divide both sides by 4
[tex]\frac{h-12-2}{4} = x[/tex]
a² = c² - b²
Then √ both sides to lose the ²
The graph is of a function in the form p(t) = a • b ^t What is the function?
Answer:
p(t) = 5 × [tex]2^{t}[/tex]
Step-by-step explanation:
Use the points on the curve to evaluate a and b
Using (0, 5 ), then
5 = a[tex]b^{0}[/tex] = a × 1 ( [tex]b^{0}[/tex] = 1 ), thus
a = 5
p(t) = 5[tex]b^{t}[/tex]
Using (1, 10 ), then
10 = 5[tex]b^{1}[/tex] = 5b ( divide both sides by 5 )
b = 2
Thus
p(t) = 5 [tex]2^{t}[/tex]
The exponential function is
[tex]p(t) = 5(2^{t})[/tex]
What is exponential function?
An exponential function is defined by the formula [tex]f(x) = ab^{x}[/tex] where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.
Where,
b>0 and b is not equal to 1.
x is any real number.
If the variable is negative, the function is undefined for -1 < x < 1.
Here,
“x” is a variable
“b” is a constant, which is the base of the function.
and a is also constant.
According to the given question
We have an exponential function
[tex]p(t) = ab^{t} ...(i)[/tex]
And from the given graph, the two points (0, 5) and (1, 10). So these points must satisfy the exponential function (i)
Substitute t = 0 and p(t) = 5 in (i)
⇒[tex]5 = a[/tex] or a = 5 ( because, [tex]b^{0} = 1[/tex] )
Again, substitute a = 5, t = 1 and p(t) = 10 in exponential function [tex]p(t) = ab^{t}[/tex]
⇒ 10 = 5[tex]b^{1}[/tex]
⇒ b = 2
Therefore, the exponential function p(t) is given by
[tex]p(t) = 5(2^{t})[/tex]
Learn more about exponential function here:
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In a championship basketball game, Paula Zimmerman scored twice as many points as Maria Kaminsky. If the total number of points made by both women was 51, find how many points Paula scored.
Answer:
x=34
y=17
Step-by-step explanation:
Let Paula's score be= x
Let Maria's score be=y
Given:
x=2y
x+y=51
Substitution:
2y+y=51
Formula:
2y+y=51
3y=51
y=17
x=2y
x=2(17)
x=34
Proof:
x+y=51
34+17=51
51=51
Hope this helps ;) ❤❤❤
Which best describes the dimensions of a line?
Can someone help me please
Answer: y = 6
Step-by-step explanation:
A square's area can be done by using s^2, where s is y in this case. Because there are 5 squares, the area of the figure is 5y^2. Because the area is also 180cm, 5y^2=180.
Then divide both sides of the equation by 5 to get y^2 = 36. Then square root both sides of the equation to get y = 6.
Hope it helps <3
❗️10 points❗️
24. Find slope of the line.
A. 3/2
B. -3/2
C. -2/3
D. 2/3
Answer:
A
Step-by-step explanation:
the equation go from a negative Y value, to positive. The answer is A because it goes from (-2,-2), towards (0,1) increasing the Y value by 3, and the X by 2
8. Identify which equation is a graph of a vertical line.
0 4x = -9y
O 2y = -10
O 10x = 10
0 -7x = -1ly
Answer:
10x = 10.
Step-by-step explanation:
The equation will contain the x variable only.
The mean age of 8 women in an office is 20 years old. The mean age of 12 men in an office is 32 years old. What is the mean age (nearest year) of all the people in the office? Answer it please because it would be helpfull alot
Answer:
27.2
Step-by-step explanation:
The mean age of 8 women in the office is 20 years old
The mean age of 12 men in an office is 32 years old
The first step is to calculate the mean of the both the men and women in the office, that way we will be able to know the sum.
The mean of the women can be calculated by taking the sum of the value and dividing by the number
= 20+20+20+20+20+20+20+20/8
= 160/8
= 20
The mean of the men can be calculated by taking the sum of the values and dividing by the number
=32+32+32+32+32+32+32+32+32+32+32+32/12
= 384/12
= 32
Therefore, to find the mean age of people in the office we add the sum of both the men and women and divide by the total number of people in the office
= 384+160/20
= 544/20
= 27.2
Hence the mean age of people in the office is 27.2
HELPPPPP NOWWWWWWWWWWWWW PLEASE
Answer:
B. SAS
Step-by-step explanation:
the line that joins the 2 triangles is considered a side, if you put an angle in between 2 sides its SAS.
-8÷2+12x9-4x6
56 + 7x2
[tex]\huge\textbf{Hey there!}[/tex]
[tex]\huge\textsf{Question \#1.}[/tex]
[tex]\mathbf{-8\div2 + 12 \times9 - 4\times6}\\\mathbf{= -4 + 12\times9 - 4\times6}\\\mathbf{= -4 + 108 - 4\times6}\\\mathbf{= 104 - 4\times6}\\\mathbf{= 104 - 24}\\\mathbf{= 80}[/tex]
[tex]\huge\textsf{Therefore, your answer is: \boxed{\mathsf{80}}}\huge\checkmark[/tex]
[tex]\huge\textsf{Question \#2.}[/tex]
[tex]\mathbf{56 + 7\times2}\\\mathbf{= 56 + 14}\\\mathbf{= 70}[/tex]
[tex]\huge\text{Therefore, your answer is: \boxed{\mathsf{70}}}\huge\checkmark[/tex]
[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]What is the value of the rational expression when x=-2?
-7
-9
9
7
Answer:
9
Step-by-step explanation:
take the x and drop it down after that the - needs to become the postive with takes multiple and so then after tyat it needs to add the extra 1 bc if the 1
48:PLEASE HELP Find the x-intercept of -x+2y=22
Answer:
-22
Step-by-step explanation:
set y equal to zero and solve like a regular singular variable equation
cuanto es 45 dividido en 4
Answer:
11.25
Step-by-step explanation:
45 ÷ 4 = 11.25
Answer:11.25
Step-by-step explanation:
4 can fit into 44 11.25
one and two third minus tow and one third?
Answer:
-2/3
Step-by-step explanation:
Step 1: Write out expression
1 2/3 - 2 1/3
Step 2: Convert to improper fractions
5/3 - 7/3
Step 3: Subtract
-2/3
Answer:
[tex]\frac{-2}{3}[/tex]
Step-by-step explanation:
[tex]1 \frac{2}{3} - 2\frac{1}{3} \\\\[/tex]
[tex]\frac{5}{3} - \frac{7}{3} = \frac{-2}{3}[/tex]
Hope this helps! :)
Is it point A Point C Point H or Point L
Answer:
Step-by-step explanation:
La vaca
El pato
Answer:
L
Step-by-step explanation:
You need to find a point with a large x-coordinate and small y-coordinate or the reverse. Look at point L, (8, 1).
8 - 1 = 7
That is the largest difference between the coordinates of the points shown in the graph.
A group of students plotted the number of hours they worked weekly during the holidays and the number of hours they spent cycling. Graph shows 0 to 60 on x and y axes at increments of 10. The label on the x axis is Weekly Hours Worked, and the label on the y axis is Weekly Hours Cycling. Dots are made at the ordered pairs 10, 45 and 13, 35 and 16, 42 and 24, 32 and 26, 43 and 32, 29 and 37, 23 and 39, 27 and 42, 19 and 45, 21 and 49, 19 and 50, 12. Which statement best describes the relationship between the number of hours spent working and the number of hours spent cycling? Greater hours worked, fewer hours spent cycling. Fewer hours worked, fewer hours spent cycling. Greater hours worked, greater hours spent cycling. There is no relationship between hours spent working and hours spent cycling.
Answer:
Greater hours worked, fewer hours spent cycling.
Step-by-step explanation:
Answer:
Greater hours worked, fewer hours spent cycling.
Step-by-step explanation:
:)
Triangle D E F is shown. The length of E F is 10, the length of D F is 7, and the length of D E is 12. What information relevant to calculating area do we have available for this triangle? Which method should we use to calculate the area for this triangle? What is the area of this triangle calculated to the nearest hundredth of a square unit?
Answer:
34.98 square units.
Step-by-step explanation:
It is given that DEF is a triangle, EF=10, DF=7 and DE=12.
Information of sides of triangle is relevant to calculating area.
We should use Heron's formula.
According to Heron's formula, the area of triangle is
[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]
where,
[tex]s=\dfrac{a+b+c}{2}[/tex]
For triangle DEF, let a=10, b=7 and c=12.
Now,
[tex]s=\dfrac{10+7+12}{2}=\dfrac{29}{2}=14.5[/tex]
Area of triangle is
[tex]A=\sqrt{14.5(14.5-10)(14.5-7)(14.5-12)}[/tex]
[tex]A=\sqrt{14.5(4.5)(7.5)(2.5)}[/tex]
[tex]A=\sqrt{1223.4375}[/tex]
[tex]A=34.977671[/tex]
[tex]A\approx 34.98[/tex]
Therefore, the area of triangle DEF is 34.98 square units.
Answer:
SSS, Heron's formula, and 34.98 square units
Step-by-step explanation:
F(x)=1/3x+2????????????
please simplify this
Answer:2a√(15a)
Step-by-step explanation:√(60a)=√(2×2×3×5×a×a×a)=2a√(15a)
help asap please and thank you!!
Answer:
[tex] \angle T \cong \angle Z[/tex]
Step-by-step explanation:
[tex]\because \triangle QPT \cong \triangle ARZ... (given) \\
{ \purple{ \bold{\therefore \angle T \cong \angle Z.. (c.a.c.t.)}}}[/tex]
Name the point of intersection.
Answer:
F
Step-by-step explanation:
Answer:
The point of intersection is F as that is the point where both lines cross each other, and since that is the only point where both lines go through it, it is the point of intersection.