Answers
Answer:
B = 18°Step-by-step explanation:
To find angle B we use tan
tan ∅ = opposite / adjacent
From the question
AC is the opposite
BC is the side adjacent to angle B
So we have
tan B = AC / BC
tan B = 6/9
tan B = 1/3
B = tan-¹ 1/3
B = 18.43°
B = 18° to the nearest hundredth
Hope this helps you
Related Questions
PLEASE HELP!!!
A calculator was used to perform a linear regression on the values in the table. The results are shown to the right of the table.
Image attached
Answers
Answer: C
explanation: a p e x
Explanation:
Start with the template they give, which is y = ax+b. From here, replace 'a' with -2.9 and b with 13.5 to get the answer y = -2.9x + 13.5
The r and r^2 values aren't used to form the regression line. Instead, they are ways to see how good a fit we have. Since r is fairly close to -1, this means we have a really strong negative correlation. All of the points are close or around the same straight line with a negative slope (that slope being -2.9).
what are the lengths for x and y
Answers
Answer:
They are both equal to 7.07
Step-by-step explanation:
Using SohCahToa to find x you use the opposite and the hypotenuse if you use the 45 degree angle.
Now you use sin(45)=x/10
x=7.07
Now using SohCahToa to find y you use hypotenuse and adjacent, if using the 45 degree angle.
Now you use cos(45)=y/10
y=7.07
Answer: side y=7.1
side x= 7.1
Step-by-step explanation:
[tex]sin(45)=\frac{x}{10}[/tex]
[tex]x=7.07...[/tex]
[tex]cos(45)=\frac{y}{10}[/tex]
[tex]y=7.07...[/tex]
can I please get help?
Answers
Answer:
3x^2 -4
Step-by-step explanation:
f(x) = 2x^2 +3
g(x) = x^2 -7
(f+g) (x) = 2x^2 +3 + x^2 -7
Combine like terms
= 3x^2 -4
Answer:
[tex]\boxed{3x^2-4}[/tex]
Step-by-step explanation:
[tex](f+g)(x)[/tex]
Rewrite.
[tex]f(x)+g(x)[/tex]
[tex](2x^2 +3)+(x^2-7)[/tex]
Combine like terms and simplify.
[tex](2x^2 +x^2 )+(3-7)[/tex]
[tex](3x^2 )+(-4)[/tex]
[tex]3x^2 +-4[/tex]
Find two national number
between 2 and 3
Answers
Answer:
The answer is 2.5
Step-by-step explanation:
Formula Used is is ½ x x+y
so it is ½ x 2 + 3
½ x 5 = 2.5
Answer:
2=2/1
3=3/1
multiplying both fractions by 10.
2*10/1*10
3*10/1*10
20/10 and 30/10
so nos are 21/10.......29/10
For water to be a liquid, its temperature must be within 50 Kelvin of 323 Kelvin. Which equation can be used to determine the minimum and maximum temperatures between which water is a liquid? |323 – 50| = x |323 + 50| = x |x – 323| = 50 |x + 323| = 50
Answers
Answer:
Mark as BRAINLIEST plz
|x-323|<50: answer
Step-by-step explanation :
For water to be a liquid, the temperature must be within 50 Kelvin of 323 K.
So, the range of the temperature of water will lie between 50 kelvin more than 323 kelvin and 50 kelvin less than 323.
The equation that can be used to determine the maximum temperature at which water is a liquid can be given by : x < 323 + 50
The equation that can be used to determine the minimum temperature at which water is a liquid can be given by : x > 323 - 50
So the resultant equation can be written as :
|x-323|<50
The solution of inequality equation is | x - 323 | < 50
What is an Inequality Equation?
Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the temperature of the water be = x Kelvin
Now , the equation will be
For water to be in the liquid state, the temperature must be within 50 kelvin (K) of 323 K
So , the value of the temperature of water will lie between 50 kelvin more than 323 kelvin and 50 kelvin less than 323
Substituting the values in the inequality equation , we get
For maximum temperature ,
x should be 50 more than 323 and
For minimum temperature ,
x should be 50 less than 323
So ,
The inequality relation is
x > 50 + 323 be equation (1)
x < 323 - 50 be equation (2)
So , the modulus function is expressed as
It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.
Therefore , the value is | x - 323 | < 50
Hence , The solution of inequality equation is | x - 323 | < 50
To learn more about inequality equations click :
https://brainly.com/question/11897796
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The distance from Parrot Point Airport to the Ivy Cliffs is 291 miles at and angle of 9.1 degrees northeast. There is a wind blowing southeast at 25 miles per hour. You want to make this trip in 3 hours by flying straight there. At what speed* and heading should you fly?
Answers
Answer:
The speed V = 194.03 mph
Direction = 3.6° northeast
Step-by-step explanation:
The distance of the trip = 291 miles
The direction of flight = 9.1 degrees northeast
Speed of the prevailing wind = 25 mph
Direction of wing = southeast = 45 degrees South of East
The speed heading to Ivy Cliffs = V₁
V×(sin(9.1) + cos(9.1)) + 25×(-sin(45) + cos(45)) × t₁ = 291 miles
V×(sin(9.1) + cos(9.1)) + 25×(sin(45) + -cos(45)) × t₂ = 291 miles
t₁ + t₂ = 3 hours
(V×(sin(9.1)-25×(sin(45))j + (V×cos(9.1) + 25×cos(45))i
The magnitude V² = V²+29.32·V +625= 291²/t₁²......(1)
Also on the return trip we have;
V²-29.32·V +625= 291²/(3-t₁)²..........................................(2)
Subtracting equation (2) from (1) gives;
58.64·V = 291²/t₁² - 291²/(3-t₁)² = 291²×(6·t-9)/(t²·(t-3)²)
V = 291²×(6·t-9)/(t²·(t-3)²)/58.64
Substituting the value of V in (2) with a graphing calculator gives;
t₁= 1.612 or 1.387
Given that magnitude of the speed going > return = V² for t₁ < t₂
t₁ = 1.387, t₂ = 1.612
From V²+29.32·V +625= 291²/t₁², we have
V²+29.32·V +625= 291²/1.387²
Which gives
V²+29.32·V -43336.5 = 0
(V + 233.35)(V-194.03) = 0
V = -233.35 mph or V = 194.03 mph
Given that V is a natural number, we have, V = 194.03 mph.
The direction is given by the relation;
V×(sin(9.1) + cos(9.1)) + 25×(-sin(45) + cos(45)) × t₁ = 291 miles
V×(sin(9.1) + cos(9.1)) + 25×(-sin(45) + cos(45)) × t₁ = 291 miles
194.03×sin(9.1 degrees)-25×sin(45 degrees)j + 194.03×cos(9.1 degrees) + 25×cos(45 degrees)i = 291/1.387
13j + 209.27i = 208.81 mph
The angle tan θ = 13/209 = 0.00622
θ = tan⁻¹(13/209.27) = 3.6°.
Find an exact value. tangent of seven pi divided by twelve
Answers
(
7
π
12
)
=
−
(
2
+
√
3
)
Explanation:
tan
(
7
π
12
)
=
tan
(
π
−
5
π
12
)
= #-tan((5pi)/12)
=
−
tan
(
3
π
12
+
2
π
12
)
=
−
tan
(
π
4
+
π
6
)
Now using
tan
(
A
+
B
)
=
tan
A
+
tan
B
1
−
tan
A
tan
B
=
−
tan
(
π
4
)
+
tan
(
π
6
)
1
−
tan
(
π
4
)
tan
(
π
6
)
=
−
1
+
1
√
3
1
−
1
×
1
√
3
Multiplying numerator and denominator by
√
3
=
−
√
3
+
1
√
3
−
1
=
−
(
√
3
+
1
)
2
(
√
3
−
1
)
(
√
3
+
1
)
=
−
3
+
1
+
2
√
3
3
−
1
=
−
(
2
+
√
3
Answer: negative 2 minus radical 3
Step-by-step explanation:
We can use the tangent half-angle formula to find the exact value of tangent of 7π/12:
tan(θ/2) = ±√[(1-cosθ)/1+cosθ)]
Here, θ = 7π/6, and cos(7π/6) = -sqrt(3)/2.
Substituting these values, we get:
tan(7π/12) = ±√[(1-(-sqrt(3)/2))/(1+(-sqrt(3)/2))]
= ±√[(2+sqrt(3))/(2-sqrt(3))]
Multiplying the numerator and denominator by (2+sqrt(3)), we get:
= ±√[(2+sqrt(3))^2/(4-3)]
= ±√[(2+sqrt(3))^2]
= ±(2+sqrt(3))
Since 7π/12 lies in the second quadrant, and tangent is negative in the second quadrant, the exact value of tangent of 7π/12 is - (2+√3)
Write an expression for the volume and simplify your answer. 3x x+1 x+4
Answers
Answer:
volume=3x³+15x²+12x
Step-by-step explanation:
v= l*w*h =(3x )(x+1) (x+4)
v=3x(x²+5x+4)
volume=3x³+15x²+12x
4 1/3 b+b=6b–10.4 efvnabvkjaebv
Answers
Answer: The value of b= 15.6
Step-by-step explanation:
The given equation: [tex]4\dfrac{1}{3}b+b=6b-10.4[/tex]
To find : Value of b.
Since, we can write [tex]4\dfrac{1}{3}=\dfrac{13}{3}[/tex]
So, the given equation becomes [tex]\dfrac{13}{3}b+b=6b-10.4[/tex]
[tex]\Rightarrow\dfrac{13b+3b}{3}=6b-10.4\Rightarrow\dfrac{16b}{3}=6b-10.4[/tex]
Subtract 6b from both sides , we get
[tex]\Rightarrow\dfrac{16b}{3}=6b-10.4\\\\\Rightarrow\dfrac{16b-18b}{3}=-10.4\\\\\Rightarrow\dfrac{-2b}{3}=-10.4\\\\\Rightarrow b=-10.4\times\dfrac{-3}{2}\\\\\Rightarrow\ b= 15.6[/tex]
hence, the value of b= 15.6
Write an algebraic expression yo find the number of seconds in n minutes
Answers
Answer:
60n seconds
Step-by-step explanation:
In 1 min, there are 60 seconds
So,
1 min = 60 secs
For n minutes, it becomes:
=> 60n seconds
The owner of a health food store is developing a new product that consists of peanuts and raisins. Raisins cost \$2.50$2.50dollar sign, 2, point, 50 per pound and peanuts cost \$3.50$3.50dollar sign, 3, point, 50 per pound. The owner wants to create 202020 pounds of the product that cost \$3.03$3.03dollar sign, 3, point, 03 per pound. Which of the following systems of equations can be used to determine the number of pounds of peanuts, ppp, and the number of pounds of raisins, rrr, that should be combined?
Answers
Answer:
9.4 pound of raisin and 10.6 pound of peanut is required to make 20 pound of product
Step-by-step explanation:
The cost of raisins is $2.5 per pound and the cost of peanut per pound is $3.50.
Let r represent the number of raisin pound and p represent the number of peanut pound. Since 20 pounds of a new product that consists of peanuts and raisins need to be produced, it can be represented by the equation:
p + r = 20 (1)
The new product would cost $3.03, therefore:
3.5p + 2.5r = 3.03(20)
3.5p + 2.5r = 60.6 (2)
We have to solve equation (1) and (2) simultaneously. First multiply (1) by 2.5 to get 2.5p + 2.5r = 50. Subtract 2.5p + 2.5r = 50 from equation (2):
p = 10.6 pound
Put p = 10.6 in equation (1)
10.6 + r = 20
r = 20 - 10.6 = 9.4
r = 9.4 pound
9.4 pound of raisin and 10.6 pound of peanut is required to make 20 pound of product
Answer:
p + r = 20
[tex]\frac{3.50p+2.50r}{20}[/tex] = 3.03
Step-by-step explanation:
The total cost of the product when the peanuts and raisins are combined is:
3.50p + 2.50r
To obtain the per pound cost, this expression needs to be divided by the number of total pounds, 20.
[tex]\frac{3.50p+2.50r}{20} =3.03[/tex]
**KA's explanation**
NEED HELP ASAP I believe the answer is C but I’m not sure
Answers
What is the least number of colors you need to correctly color in the sections of the pictures so that no two touching sections are the same color?
Answers
Answer:
2
Step-by-step explanation:
Polygons on either side of a common edge need to be colored differently, so 2 colors are needed, as a minimum. Polygons of the same shape do not share an edge, so all can be colored the same color.
What is the first step to circumscribe a circle around a triangle? a Find the diameter b Find the angle bisectors c Find the perpendicular bisectors d Draw the circle
Answers
Answer:
Step 1-Construct the perpendicular bisector of one side of the triangle.
Step 2-Construct the angle bisector of another side of the triangle.
Explanation:
A circumscribed circle is the circle that passes through all three vertices of the triangle. The center of the circumscribed circle is the circumcenter of the triangle, the point where the perpendicular bisectors of the sides meet
can u help me spot the sequence
Answers
Answer:
Hey mate... I don't know the first three... But mayb I can help u in last one.
Step-by-step explanation:
The answer is : 2: 6: 18: 54: 162: 426
I can see the pattern by multiplying.. As from 3
2x3=6 :6x3=18 :18x3= 54 :54x3=162 :162x3=426
So I guess this is the ans
Hope it helped u!
29, 40, 53
75, 96, 135
Explanation:
5, 8, 13, 20, 29, 40, 53
Keep adding odd number
5+3 => 8 + 5 => 13 + 7 => 20 + 9 => 29 => 29 + 11 => 40 + 13 => 53
3, 12, 27, 48, 63, 78, 93
3 x 4 = 12
3 x (4 + 5)= 27
3 x (9+7)= 48
3 x (16+9) = 75
3 x (21 + 11) = 96
3 x (32 + 13) = 135
I WILL MARK BRAINLIEST!!!!!! A direct variation function includes the ordered pair (4, 5). If y varies directly with x, and y is 14 when x is 2, what is the value of x when y is 35?
Answers
Answer: x=5
Step-by-step explanation:
[tex]\frac{2}{14} =\frac{x}{35}[/tex]
[tex]\frac{x}{35}=\frac{2}{14}[/tex]
simplify
[tex]\frac{x}{35}=\frac{1}{7}[/tex]
multiply 35 on both sides
[tex]\frac{35x}{35}=\frac{1\cdot \:35}{7}[/tex]
[tex]\frac{1}{7} \cdot 35=5[/tex]
x=5
Reiko drove from point A to point B at a constant speed, and then returned to A along the same route at a different constant speed. Did Reiko travel from A to B at a speed greater than 40 miles per hour?
(1) Reiko's average speed for the entire round trip, excluding the time spent at point B, was 80 miles per hour.
(2) It took Reiko 20 more minutes to drive from A to B than to make the return trip.
Answers
Answer:
no
Step-by-step explanation:
it was slower the way there and if he was going 40 it would have taken the same time to get there as it would have to go back
Answer:
Yes.
Step-by-step explanation:
Reiko's average speed was 80 miles per hour. That is more than 40 miles per hour. Even if it took him longer to drive from A to B, his speed would still be more than 40 miles per hour to have the average speed be 80 miles per hour.
Hope this helps!
What are the solutions to the quadratic equation x^2 – 16 = 0?
Answers
Answer:
x=4
Step-by-step explanation:
x²-16=0
x²=0+16
x²=16
x=√16
x=4
Name the algebraic property demonstrated in the example below: (1 point) x ⋅ y ⋅ z = y ⋅ x ⋅ z
Answers
Answer:
commutative property of multiplication
Step-by-step explanation:
y=6x 2x+3y=20 solving equation using substitution
Answers
Answer:
x = 1, y = 6
Step-by-step explanation:
y = 6x
2x + 3y = 20
Plug y as 6x in the second equation and solve for x.
2x + 3(6x) = 20
2x + 18x = 20
20x = 20
[tex]\frac{20x}{20}= \frac{20}{20}[/tex]
x = 1
Plug x as 1 in the first equation and solve for y.
y = 6(1)
y = 6
Answer:
y=6 , x=1
Step-by-step explanation:
y=6x
2x+3y=20
Substitute 6x into y because y=6x.
2x+3(6x)=20
2x+18x=20
20x=20
x=1
Then subsitiute 1 into the first equation in x value
y=6(1)
y=6
A painter can paint a building in 15 days and a coworker can do the same job in 10 days. If the first painter starts and 3 days later the coworker joins in to help finish the job, how many days does it take to paint the building?
Answers
Answer: 7.8 days
Step-by-step explanation:
Painter can get the job done in 15 days so gets [tex]\dfrac{1}{15}[/tex] of the job done in 1 day.
Coworker can get the job done in 10 days so gets [tex]\dfrac{1}{10}[/tex] of the job done in 1 day.
Together, they get [tex]\dfrac{1}{15}+\dfrac{1}{10}[/tex] of the job done in 1 day.
Painter worked for 3 days so completed [tex]\dfrac{1}{15}(3)=\dfrac{1}{5}[/tex] of the job.
That leaves a remaining of [tex]1-\dfrac{1}{5}=\dfrac{4}{5}[/tex] of the job to be completed.
Let x represent the number of days it will take them to work together.
Painter + Coworker = Together
[tex]\dfrac{1}{15}(x)\quad +\quad \dfrac{1}{10}(x)\quad =\quad \dfrac{4}{5}[/tex]
Multiply by 30 to eliminate the denominator:
[tex]\dfrac{1}{15}(x)(30) +\ \dfrac{1}{10}(x)(30) = \dfrac{4}{5}(30)[/tex]
Simplify and solve for x:
2x + 3x = 24
5x = 24
[tex]x=\dfrac{24}{5}[/tex]
x = 4.8
Remember that Painter worked 3 days alone in addition to the 4.8 days they worked together.
So the total time to paint the building is 3 + 4.8 = 7.8
30 POINTS!! Write the slope-intercept form of the equation for the line.
Answers
Answer:
B. [tex]y = -\frac{3}{10}x + \frac{1}{2}[/tex]
Step-by-step explanation:
Well slope-intercept form is [tex]y = ax + b[/tex].
Let's start with the slope.
In this case, finding the slope is easy.
It should have a negative slope.
So we can cross out answer choices A. and C.
Also, we can cross out D. because it just makes no sense, -10/3, if you start from the y-intercept and go down 10 and across 3, yeah that's
not the slope.
So we can cross out D.
The only answer choice left is B.
We can tell the y-intercept is 1/2 because like come on so B is the correct answer.
B. [tex]y = -\frac{3}{10}x + \frac{1}{2}[/tex]
Looking at the graph, we can figure out our y-intercept or b simply by looking at the line to see where it intersects the y-axis.
So, we can see that the line intersects the y-axis at 1/2 or 0.5
That means, our y-intercept or b is 1/2 (0.5).
Now, to find out the slope of the line, we can pick two pairs of coordinates on the line and plug it into the slope equation to figure out the slope.
Let's use the two coordinate pairs: (-5, 2) and (0, 1/2).
Plug it in.
1/2 - 2 = - 1.5
0 - - 5 = 5
-1.5/5 = -0.3
Convert it into a fraction: -0.3 = -3/10
Thus, our slope intercept form for this line is: y = -3/10 + 1/2
HELP ASAP MONEY & WAGES
Answers
Answer: Annual Gross Income = $55,489.20
Annual Net Income = $46,439.72
Step-by-step explanation:
Total hours worked per week = 3(10) + 5 + 11 = 46
Regular hours worked = 3(8) + 5 + 8 = 37
Overtime hours worked = 3(2) + 0 + 3 = 9
Weekly Tips at 20% of $60 for 46 hours:
0.2(60)(46) = $552.00
Annual tips = $552.00 x 52 weeks = $28,704.00
Weekly Regular pay at $10.20 per hour for 37 hours:
10.20(37) = $377.40
Annual regular pay = $377.40 x 52 weeks = $19,624.80
Weekly Overtime pay at time and a half for 9 hours:
10.20(1.5)(9) = $137.70
Annual overtime = $137.70 x 52 weeks = $7,160.40
Total Annual Gross Income = Tips + Regular Pay + Overtime
$28,704.00 + $19,624.80 + $7,160.40 = $55,489.20
****************************************************************************************
Deductions (per question 5):
a) Pension at 5% = $55,489.20(0.05) = $2,774.46
b) Employee Insurance at 2.4% = $55,489.20(0.024) = $1,331.74
c) Income Tax at 0% for $0-$11,000 = $11,000(0) = 0
Income Tax at 8% for $11,000-$25,000 = $14,000(0.08) = $1,120.00
Income Tax at 12% for $25,000-$50,000 = $25,000(0.12) = $3,000.00
Income Tax at 15% for $50,000-$100,000 = $5,489.2(0.15) =$823.38
Total Income Tax = $4,943.28
Annual Net Income = Gross - Pension - Employee Insurance - Income Tax:
$55,489.20 - $2,774.46 - $1,331.74 - $4,943.28 = $46,439.72
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP(25 points)
Answers
Answer: I hope it helps :)
x=6 , y=6√3x =23√3 , y=23u =12 , v= 6a =18√2 , b =18x = 13 , y= 13Step-by-step explanation:
1.
[tex]Hypotenuse =x\\Opposite =y \\Adjacent =6\\\alpha = 6\\Let's\: find\: the \:hypotenuse\: first\\Using SOHCAHTOA\\Cos \alpha = \frac{adj}{hyp} \\Cos 60 = \frac{6}{x} \\\frac{1}{2} =\frac{6}{x} \\Cross\:Multiply\\x = 12\\Let's\: find\: y\\Hyp^2=opp^2+adj^2\\12^2=y^2+6^2\\144=y^2+36\\144-36=y^2\\108=y^2\\\sqrt{108} =\sqrt{y^2} \\y=6\sqrt{3}[/tex]
2.
[tex]Opposite =x\\Hypotenuse = 46\\Adjacent =y \\\alpha =60\\Using \: SOHCAHTOA\\Sin \alpha =\frac{opp}{adj} \\Sin 60=\frac{x}{46}\\\\\frac{\sqrt{3} }{2} =\frac{x}{46} \\2x=46\sqrt{3} \\x = \frac{46\sqrt{3} }{2} \\x =23\sqrt{3} \\\\Hyp^2=opp^2+adj^2\\46^2=(23\sqrt{3} )^2+y^2\\2116=1587+y^2\\2116-1587=y^2\\529=y^2\\\sqrt{529} =\sqrt{y^2} \\y = 23[/tex]
3.
[tex]Hypotenuse = u\\Opposite =6\sqrt{3} \\Adjacent = v\\\alpha =60\\Sin\: 60 = \frac{6\sqrt{3} }{u} \\\frac{\sqrt{3} }{2} =\frac{6\sqrt{3} }{u} \\12\sqrt{3} =u\sqrt{3} \\\\\frac{12\sqrt{3} }{\sqrt{3} } =\frac{u\sqrt{3} }{\sqrt{3} } \\u = 12\\Hyp^2=opp^2+adj^2\\12^2= (6\sqrt{3} )^2+v^2\\144=108+v^2\\144-108=v^2\\36 = v^2\\\sqrt{36} =\sqrt{v^2} \\\\v =6[/tex]
4.
[tex]Hypotenuse = a\\Opposite =18 \\Adjacent = b\\\alpha =45\\Tan \alpha = opp/adj\\Tan \:45 =18/b\\1=\frac{18}{b}\\ b = 18\\\\Hyp^2=Opp^2+Adj^2\\a^2 = 18^2+18^2\\a^2=324+324\\a^2=648\\\sqrt{hyp^2} =\sqrt{648}\\ \\a =18\sqrt{2}[/tex]
5.
[tex]Hypotenuse = 13\sqrt{2}\\ Opposite =x\\Adjacent = y\\\alpha =45\\Sin\:\alpha = opp/hyp\\Sin 45=x/13\sqrt{2}\\ \\\frac{\sqrt{2} }{2} =\frac{x}{13\sqrt{2} } \\2x=26\\2x/2=26/2\\\\x = 13\\\\Hyp^2=opp^2+adj^2\\(13\sqrt{2})^2=13^2+y^2\\ 338=169+y^2\\338-169=y^2\\169=y^2\\\sqrt{169} =\sqrt{y^2} \\13 = y[/tex]
Pls answer this ASAP I need it by the end of the day
Answers
Answer:
No
Step-by-step explanation:
Let's calculate sinA and sinB.
sinA = opposite / hypotenuse = 12 / 20
sinB = opposite / hypotenuse = 16 / 20
Since 12 / 20 ≠ 16 / 20, she is incorrect.
State the equation of the following graphs.
Someone please help ASAP
Answers
y = 1(x +1) - 3
Explanation
A quadratic equation of the form y = ax^2 + bx + c
This written in complete the square form provides you with the vertex (either a maximum or minimum point depending on the equation).
This results in y = a(x + p) + q
Where - p is the x value and q is the y value of turning point.
For graph 22, x = -1 and y = -3
Therefore, the equation is of the form
y = a(x + 1) - 3 (*)
We still need the value a, this can be obtained by using the y-intercept we are given.
We are told x = 0 when y = -2
Substitute this in (*) equation:
-2 = a(0+1) - 3
-2 = a - 3
a = 1
Therefore final equation is
y = 1(x +1) - 3
This should provide you with the train of thought of how the second question should also be tackled.
If unsure about why the equation
y = a(x + p) + q gives the vertex ask in comments I will respond
A double-blind experiment was conducted to evaluate the success of a Zika virus vaccine. What is the purpose of keeping treating physicians unaware of
the treatment status of the experimental subjects?
To eliminate grounds for malpractice suits
To ensure subjects were assigned randomly to treatments
To remove a possible source of bias
To make sure nobody is injured
To avoid the placebo effect
Answers
To remove a possible source of bias
Step-by-step explanation:
If the test subjects know they are part of an experiement, this could cause them to think that it worked and it could either lead to untruthful answers or the test subjects tricking themselves to think that the vaccine worked
Pencils are sold in boxes of 10 Erasers are sold in boxes of 14 A teacher wants to buy the same number of pencils and erasers work out the smallest number of boxes of each item she should buy
Answers
Answer:
7 boxes of pencils and 5 boxes of erasers.
Step-by-step explanation:
The least common denominator of these two numbers are 70. 7×10 and 14×5. So she is purchasing the same quantity of both.
Solve the equation using the distributive property and properties of equality. One-half (x + 6) = 18 What is the value of x? 6 7 and one-half 14 and one-half 30
Answers
Answer:
The value of x is 30.
We have to find the value of x in the given equation.
Using distributive property
We have,
[tex]1/2(x+6)=18\\a.(b+c)=a.b+a.c\\1/2(x+3)=18\\1/2x=15\\x=3[/tex]
other are also solve by this methode;)
The required solution of the expression [tex]1/2(x+6) = 18[/tex] is 30.
To solve the equation using the distributive property and properties of equality. One-half (x + 6) = 18 and value of x to be determined.
The equation is the well-organized link of the variables of two expressions that contain equal between them.
distributive properties are used to evaluate the math problem easily by distributing numbers to the numbers present in parenthesis. eg, if we apply the distributive property of multiplication to solve the expression
a( b + c ) = a.b + a.c
[tex]1/2(x+6) = 18[/tex]
Using distributive property a( b + c ) = a.b + a.c
[tex]1/2.x+1/2*6 = 18\\1/2x+3=18\\1/2x=18-3\\1/2x=15\\x=2*15\\x=30\\[/tex]
Thus, The required solution of the expression [tex]1/2(x+6) = 18[/tex] is 30.
Learn more about the equation here:
https://brainly.com/question/10413253
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Can you translate a mathematical expression into a verbal expression?
Answers
Step-by-step explanation:
An example of a mathematical expression with a variable is 2x + 3. All variables must have a coefficient, a number that is multiplied by the variable. In the expression 2x + 3, the coefficient of x is the number 2, and it means 2 times x plus 3. ... For example, 2x + 3 could also be expressed as 2(x) + 3 or 2 * x + 3. are you talking about this