Answer:
Poster’s perimeter = 150 in
Step-by-step explanation:
Given:
Width of poster = 2.5 ft = 2.5 × 12 = 30 in
Find:
Poster’s perimeter.
Computation:
Height of poster = [30×6]/4
Height of poster = 45 in
Poster’s perimeter = 2 [Width of poster + Height of poster]
Poster’s perimeter = 2 [30+45]
Poster’s perimeter = 2 [75]
Poster’s perimeter = 150 in
very simple challenge hard question
Answer:
-58.41509433
Step-by-step explanation:
0.4+8(5-0.8*5/8)-5/(2.5)=34.4
[0.4+8(5-4/8)-(2)]=
[0.4+8(40-4)/8)-2=34.4 ( nominator)
15-(8.9-2.6/(2/3))*34*2/5 =-53
15-(8.9-3.9)*68/5
15-5*68/5=
15-68=-53 ( denominator)
(34.4/-53) *90
-58.41509433
The path followed by a roller coaster as it climbs up and descends down from a peak can be modeled by a quadratic function, where h(x) is the height, in feet, and x is the horizontal distance, also in feet. The path begins and ends at the same height, covers a total horizontal distance of 100 feet, and reaches a maximum height of 250 feet. Which of the functions could be used to model this situation? A. h(x)=-0.1x^2-50x+250 B. h(x)=-0.1(x-50)^2+250 C. h(x)=-0.1(x-100)^2+250 D. h(x)=-0.1x^2+100x+250
Answer:
C
Step-by-step explanation:
0.1(x - 100)² + 250
0.1[(x - 100)(x - 100)] + 250
0.1(x² -200x + 10000) + 250
0.1x² - 20x + 1000 + 250
0.1x² - 20x + 1250
0.1x² - 25x + 5x + 1250
0.1x(x - 250) + 5(x + 250)
∴ (0.1x + 5)(x - 250) or (0.1x + 5)(x + 250)
which of the following is equivalent to (x+4)(3x^2+2x)??
Answer:
c
Step-by-step explanation:
HELP PLEASE !!!!
A
B
C
D
E
???
Answer:
A is the answer
Step-by-step explanation:
first take out the common factors ithe numerator and then after that take the common factors of denominator and then common terms cancels off and 3/n will remain
Answer:
A
Step-by-step explanation:
Factorize.
(3m(2m² + n²)/(mn(2m² + n²))
Cancel common factor.
3m/mn
Simplify.
3/n
find the value of x and y if the distance of the point (x,y) from (-2,0) and (2,0) are both 14 units.
Answer:
[tex] (0, 8\sqrt{3}) [/tex] and [tex] (0, -8\sqrt{3}) [/tex] are both 14 units from points (-2, 0) and (2, 0).
Step-by-step explanation:
distance formula
[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
We want the distance, d, from points (-2, 0) and (2, 0) to be 14.
Point (-2, 0):
[tex] 14 = \sqrt{(x - (-2))^2 + (y - 0)^2} [/tex]
[tex] \sqrt{(x + 2)^2 + y^2} = 14 [/tex]
Point (2, 0):
[tex] 14 = \sqrt{(x - 2)^2 + (y - 0)^2} [/tex]
[tex] \sqrt{(x - 2)^2 + y^2} = 14 [/tex]
We have a system of equations:
[tex] \sqrt{(x + 2)^2 + y^2} = 14 [/tex]
[tex] \sqrt{(x - 2)^2 + y^2} = 14 [/tex]
Since the right sides of both equations are equal, we set the left sides equal.
[tex] \sqrt{(x + 2)^2 + y^2} = \sqrt{(x - 2)^2 + y^2} [/tex]
Square both sides:
[tex] (x + 2)^2 + y^2 = (x - 2)^2 + y^2 [/tex]
Square the binomials and combine like terms.
[tex] x^2 + 4x + 4 + y^2 = x^2 - 4x + 4 + y^2 [/tex]
[tex] 4x = -4x [/tex]
[tex] 8x = 0 [/tex]
[tex] x = 0 [/tex]
Now we substitute x = 0 in the first equation of the system of equations:
[tex] \sqrt{(x + 2)^2 + y^2} = 14 [/tex]
[tex] \sqrt{(0 + 2)^2 + y^2} = 14 [/tex]
[tex] \sqrt{4 + y^2} = 14 [/tex]
Square both sides.
[tex] y^2 + 4 = 196 [/tex]
[tex] y^2 = 192 [/tex]
[tex] y = \pm \sqrt{192} [/tex]
[tex] y = \pm \sqrt{64 \times 3} [/tex]
[tex] y = \pm 8\sqrt{3} [/tex]
The points are:
[tex] (0, 8\sqrt{3}) [/tex] and [tex] (0, -8\sqrt{3}) [/tex]
How does the graph of y = a(x – h)2 + k change if the value of h is doubled? The vertex of the graph moves to a point twice as far from the x-axis. The vertex of the graph moves to a point twice as far from the y-axis. The vertex of the graph moves to a point half as far from the x-axis. The vertex of the graph moves to a point half as far from the y-axis.
Answer:
The vertex of the graph moves to a point twice as far from the y-axis.
Step-by-step explanation:
How does the graph of y = a(x – h)2 + k change if the value of h is doubled?
The vertex of the graph moves to a point twice as far from the x-axis.
The vertex of the graph moves to a point twice as far from the y-axis.because the role of h is to indicate the distance of the vertex from the y-axis.
The vertex of the graph moves to a point half as far from the x-axis.
The vertex of the graph moves to a point half as far from the y-axis.
Transformation involves changing the position of a function.
When h is doubled in [tex]\mathbf{y = a(x - h)^2 + k}[/tex], the vertex of the graph moves to a point twice as far from the y-axis.
The function is given as:
[tex]\mathbf{y = a(x - h)^2 + k}[/tex]
When the value of h is doubled, the new function becomes:
[tex]\mathbf{y' = a(x - 2h)^2 + k}[/tex]
Rewrite as:
[tex]\mathbf{y' = a(x - h- h)^2 + k}[/tex]
The above equation means that:
Function y will be translated to the right by h units
Assume the vertex is:
[tex]\mathbf{Vertex = (2,5)}[/tex]
The new vertex will be:
[tex]\mathbf{Vertex = (4,5)}[/tex]
Comparing the vertices, it means that:
The new function will have its vertex twice as far from the y-axis
Hence, option (b) is correct.
Read more about transformation at:
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1. an alloy contains zinc and copper in the ratio of 7:9 find weight of copper of it had 31.5 kgs of zinc.
2. compare the following ratios
i) 2:3 and 4:5
ii) 11:19 and 19:21
iii) ½ : ⅓ and ⅓ : ¼
iv ) 1⅕ : 1⅓ and ⅖ : 3/2
v) if a : b = 6:5 and b:c = 10:9, find a:c
vi) if x : y = ⅙:⅛ and y : z = ⅛: ⅒, find X : z
sorry many questions
Answer:
Step-by-step explanation:
Question (1). An alloy contains zinc and copper in the ratio of 7 : 9.
If the weight of an alloy = x kgs
Then weight of copper = [tex]\frac{9}{7+9}\times (x)[/tex]
= [tex]\frac{9}{16}\times (x)[/tex]
And the weight of zinc = [tex]\frac{7}{7+9}\times (x)[/tex]
= [tex]\frac{7}{16}\times (x)[/tex]
If the weight of zinc = 31.5 kg
31.5 = [tex]\frac{7}{16}\times (x)[/tex]
x = [tex]\frac{16\times 31.5}{7}[/tex]
x = 72 kgs
Therefore, weight of copper = [tex]\frac{9}{16}\times (72)[/tex]
= 40.5 kgs
2). i). 2 : 3 = [tex]\frac{2}{3}[/tex]
4 : 5 = [tex]\frac{4}{5}[/tex]
Now we will equalize the denominators of each fraction to compare the ratios.
[tex]\frac{2}{3}\times \frac{5}{5}[/tex] = [tex]\frac{10}{15}[/tex]
[tex]\frac{4}{5}\times \frac{3}{3}=\frac{12}{15}[/tex]
Since, [tex]\frac{12}{15}>\frac{10}{15}[/tex]
Therefore, 4 : 5 > 2 : 3
ii). 11 : 19 = [tex]\frac{11}{19}[/tex]
19 : 21 = [tex]\frac{19}{21}[/tex]
By equalizing denominators of the given fractions,
[tex]\frac{11}{19}\times \frac{21}{21}=\frac{231}{399}[/tex]
And [tex]\frac{19}{21}\times \frac{19}{19}=\frac{361}{399}[/tex]
Since, [tex]\frac{361}{399}>\frac{231}{399}[/tex]
Therefore, 19 : 21 > 11 : 19
iii). [tex]\frac{1}{2}:\frac{1}{3}=\frac{1}{2}\times \frac{3}{1}[/tex]
[tex]=\frac{3}{2}[/tex]
[tex]\frac{1}{3}:\frac{1}{4}=\frac{1}{3}\times \frac{4}{1}[/tex]
= [tex]\frac{4}{3}[/tex]
Now we equalize the denominators of the fractions,
[tex]\frac{3}{2}\times \frac{3}{3}=\frac{9}{6}[/tex]
And [tex]\frac{4}{3}\times \frac{2}{2}=\frac{8}{6}[/tex]
Since [tex]\frac{9}{6}>\frac{8}{6}[/tex]
Therefore, [tex]\frac{1}{2}:\frac{1}{3}>\frac{1}{3}:\frac{1}{4}[/tex] will be the answer.
IV). [tex]1\frac{1}{5}:1\frac{1}{3}=\frac{6}{5}:\frac{4}{3}[/tex]
[tex]=\frac{6}{5}\times \frac{3}{4}[/tex]
[tex]=\frac{18}{20}[/tex]
[tex]=\frac{9}{10}[/tex]
Similarly, [tex]\frac{2}{5}:\frac{3}{2}=\frac{2}{5}\times \frac{2}{3}[/tex]
[tex]=\frac{4}{15}[/tex]
By equalizing the denominators,
[tex]\frac{9}{10}\times \frac{30}{30}=\frac{270}{300}[/tex]
Similarly, [tex]\frac{4}{15}\times \frac{20}{20}=\frac{80}{300}[/tex]
Since [tex]\frac{270}{300}>\frac{80}{300}[/tex]
Therefore, [tex]1\frac{1}{5}:1\frac{1}{3}>\frac{2}{5}:\frac{3}{2}[/tex]
V). If a : b = 6 : 5
[tex]\frac{a}{b}=\frac{6}{5}[/tex]
[tex]=\frac{6}{5}\times \frac{2}{2}[/tex]
[tex]=\frac{12}{10}[/tex]
And b : c = 10 : 9
[tex]\frac{b}{c}=\frac{10}{9}[/tex]
Since a : b = 12 : 10
And b : c = 10 : 9
Since b = 10 is common in both the ratios,
Therefore, combined form of the ratios will be,
a : b : c = 12 : 10 : 9
The circumference of the base of a cylinder is 24π mm. A similar cylinder has a base with circumference of 60π mm. The lateral area of the larger cylinder is 210π mm2. What is the lateral area of the smaller cylinder? 17.1π mm2 33.6π mm2 60π mm2 84π mm2
Answer: Step 1
Find the scale factor
we know that
If the two cylinders are similar
then
The ratio between the circumference of the larger cylinder to the circumference of the smaller cylinder is equal to the scale factor
Step 2
Find the lateral area of the smaller cylinder
we know that
If the two cylinders are similar
then
The ratio between the lateral area of the larger cylinder to the lateral area of the smaller cylinder is equal to the scale factor squared
Let
x--------> the lateral area of the larger cylinder
y-------> the lateral area of the smaller cylinder
z--------> the scale factor
In this problem we have
substitute in the formula and solve for y
therefore
the answer is
33.6π mm2
The correct option is Option D: the lateral area of the smaller cylinder is 84π mm².
What is the lateral area of the cylinder?The lateral area of the cylinder is the area of the curved surface which can be calculated by the formula given below
lateral area of the cylinder= 2πrl
where r is the radius of the cylinder and l is the length of the cylinder.
Here given that the two cylinders are similar.
The larger cylinder has base of circumference = 60π mm
As we know the circumference of base of cylinder= 2πR
⇒60π= 2πr
⇒2πR= 60π
Given the lateral area of the larger cylinder is 210π mm²
From above formula, it is clear that the lateral area of the cylinder= 2πrl
⇒ 210π = 2πrl
⇒2πRl= 210π
⇒60πl= 210π (as from above it is derived that 2πr= 60π)
⇒l= 210π/ 60π= 7/2
⇒l= 3.5 mm
the smaller cylinder has base of circumference = 24π mm
⇒ 2πr= 24π mm
then the lateral area of the smaller cylinder is= 2πrl= 24π*3.5= 84π mm²
Therefore the correct option is Option D: the lateral area of the smaller cylinder is 84π mm².
Learn more about the lateral area of the cylinder
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Each of three jars is filled with blackcurrant, raspberry, or strawberry jam. The labels on each are "raspberry", "strawberry," and "raspberry or strawberry." All three labels are wrong. What kind of jam is in the jar labeled "strawberry?
Answer:
Raspberry
Step-by-step explanation:
Strawberry label = raspberry
Raspberry label =strawberry
Strawberry and Raspberry label = blackcurrant
a store offers a discount of 10% to customers who spend more than $20. If a customer's bill was $80, what will he actually pay?
Answer:
72
Step-by-step explanation:
First find the discount
10% of 80
.10 * 80
8
Subtract this amount from the bill
80 -8 = 72
The customer will pay 72
Find the vertex of the graph
Answer:
(-3, -11)
i needed to put more characters so here
hi :) how to do the last part?
Answer: 1200
Step-by-step explanation:
as t → ∞, the e-value will get very very very small and be considered insignificant. In other words, as t → ∞, e → 0.
600(2 + 0) = 1200
Furthermore, if you graph this equation, you will see that the asymptote is: y = 1200. So, the y-value will get really close to 1200 but will never actually reach this value.
the population of a village is 15000.among them 9000 read kantipur,75000 read gorkhapatra and 40%read both the magazines.find the percent of people who dont read both the magazines.
Answer:
30%
Step-by-step explanation:
Total population=15,000
kantipur=9000
gorkhapatra= 7500
Both magazine=40%
n(k intersection g)=40% of 15,000
=0.4*15,000
=6,000
n(k) =9000
n(g)=7500
n(A union B)= n(k) + n(g) -n(k intersection g)
=9000+7500-6000
=10,500
Population who do no read= Total population - n(A union B)
=15000-10500
=4500
Percentage population who do not read both magazine
=4,500/15,000 * 100
=0.3 * 100
=30%
For f(x) = 2x + 1 and g(x) = x2 – 7, find (f – g)(x).
Answer:
-x^2 +2x +8
Step-by-step explanation:
f(x) = 2x + 1
g(x) = x^2 – 7,
(f – g)(x) = 2x +1 - ( x^2 -7)
Distribute the minus sign
= 2x+1 - x^2 +7
Combine like terms
= -x^2 +2x +8
Answer:
its not true. Answer is (f + g)(x) = x2 + 2x - 6
Step-by-step explanation:
Trust me. Good luck.
find the slope and y intercept of the line y=7/5x-3 5/7; 3 3; 7/5 7/5;-3 -3; 7/5
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
From the question
y = 7/5x - 3
Comparing with the above formula
Slope / m = 7/5c/ y intercept = - 3Hope this helps you
The value of the slope of the line is 7/5 and the y-intercept is -3
Given the line equation :
y = 7/5x - 3The general form of the equation is :
y = bx + cslope = b ; intercept = cComparing the equations :
b = 7/5 c = -3Hence, the slope and y-intercept are 7/5 and -3
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Find the missing side length of the right triangle shown. Round to the nearest tenth, if
necessary.
Answer:
? = 26 in
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
?² = 24² + 10² = 576 + 100 = 676 ( take the square root of both sides )
? = [tex]\sqrt{676}[/tex] = 26
Answer:
26 inch
Step-by-step explanation:
unknown side can be found using Pythagorean theorem
a*a+b*b=c*c
24*24+10*10=c*c
576+100=c*c
√676=c
c=26inche
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 50 feet cubed. A cylinder with height h and radius r. A cylinder with height h and radius r. What is the volume of the sphere?
Answer:
Volume of the sphere is 66.67r/h
Step-by-step explanation:
Hello,
Volume of a sphere = ⁴/₃πr³
Volume of a cylinder = πr²h
The volume of the cylinder = 50ft³
But the cylinder and sphere both have the same radius and height
Volume of a cylinder = πr²h
50 = πr²h
Make r² the subject of formula
r² = 50/πh
Volume of a sphere = ⁴/₃πr³
Put r² into the volume of a sphere
Volume of a sphere = ⁴/₃π(50/πh)r
Volume of a sphere = ⁴/₃ × 50r/h
Volume of a sphere = ²⁰⁰/₃ r/h
Volume of a sphere = 66.67r/h
The volume of the sphere is 66.67r/h
This is used for the next few questions: The rating for the new scary movie has a scale of 0 to 10. The average response was that the regular movie attendant enjoyed the movie with 8.3 points and a standard deviation of 0.5 points. What is the percent of people who gave the movie a rating between 6.8 and 8.8? (Write the number as a percent only without a percent sign.)
Answer:
The percentage that of people who gave the movie a rating between 6.8 and 8.8
P(6.8≤X≤8.8) = 83.9≅ 84 percentage
Step-by-step explanation:
Step(i):-
Mean of the Population = 8.3 points
Standard deviation of the Population = 0.5 points
Let 'X' be the random variable in normal distribution
Let X = 6.8
[tex]Z = \frac{x-mean}{S.D} = \frac{6.8-8.3}{0.5} = -3[/tex]
Let X = 8.8
[tex]Z = \frac{x-mean}{S.D} = \frac{8.8-8.3}{0.5} = 1[/tex]
The probability that of people who gave the movie a rating between 6.8 and 8.8
P(6.8≤X≤8.8) = P(-3≤Z≤1)
= P(Z≤1)- P(Z≤-3)
= 0.5 + A(1) - ( 0.5 -A(-3))
= A(1) + A(3) (∵A(-3)=A(3)
= 0.3413 +0.4986 (∵ From Normal table)
= 0.8399
Conclusion:-
The percentage that of people who gave the movie a rating between 6.8 and 8.8
P(6.8≤X≤8.8) = 83.9≅ 84 percentage
By visual inspection, determine the best-fitting regression model for the
scatterplot.
Need help ASAP please
Answer:
its a! sorry im so late
Step-by-step explanation:
Find the value of x.
08*
ος
Ο Α. 58ο
Ο Ο Ο
Ο Β. 32ο
C. 669
D. 68ο
Answer:
x = 66°
Step-by-step explanation:
Hello,
This question involves use of rules or theorems of angles in a right angled triangle
<DAB + <BAC = 180°
Sum of angles on a straight line = 180°
98° + <BAC = 180°
<BAC = 180° - 98°
<BAC = 82°
Now, we can use <BAC to find x because some of angles in a triangle is equal to 180°
32° + 82° + x = 180°
Sum of angles in a triangle = 180°
114° + x = 180°
x = 180° - 114°
x = 66°
Angle x = 66°
Choose the best estimate for the division problem below.
38.064/6.12
A. 9
B. 4.
c. 6
Answer:
c.6
Step-by-step explanation:
I would estimate 6.12 to 6 and 38.064 because I know 36 is a common denominator of 6. 36/6=6
Hope this helps.
Julio’s rotation maps point K(–6, 9) to K’(9, 6). Which describes the rotation? 90 degrees clockwise rotation 180 degrees rotation 90 degrees counterclockwise rotation 270 degrees clockwise rotation
Answer: 90 degrees clockwise rotation
Step-by-step explanation:
Common rotations about Origin :
90° clockwise (x,y)→(y,-x)
90° counterclockwise (x,y)→(-y,x)
180° (x,y)→ (-x,-y)
270° clockwise (x,y)→(-y,x)
Given: Julio’s rotation maps point K(–6, 9) to K’(9, 6).
Rotation corresponding to this is (x,y) → (y,-x) since K(–6, 9) → K’(9, -(-6)) = K(9,6).
Therefore, Julio’s rotates 90° clockwise to map point K(–6, 9) to K’(9, 6).
so , correct answer is "90 degrees clockwise rotation".
Answer:
90 degrees clockwise
Step-by-step explanation:
EDGE2020
Find the fraction half way between 1/7 and 1/5
Answer:
6/35
Step-by-step explanation:
add ¹/7+¹/5 =12/35
divide 12/35 by 2
=6/35
If one plane is flying at 40mph. While another is flying at 100mph. They are 200 miles apart, how long will it take them to collide if they are going in the same direction
Answer:
1 and 3/7 hour
Step-by-step explanation:
Every hour they get 140 miles closer (100 + 40). So you divide 200 by 140 which gets you 1.42... or 1 and 3/7 of an hour.
PLEASE HELPPPPPP 65 points
Answer:
x + 2y ≤ 12
x + 2y = 12
Step-by-step explanation:
The teachers can not give more than 12 hours of homework so this is the answer. those are the 2 equations you can use. It under 12 hours or equal to 12 hours.
Answer:
Part A: x + 2y ≤ 12.
Part B: y = -1/2x + 6.
Part C: (0, 0).
Step-by-step explanation:
Part A: The total hours of homework have to be 12 hours, and it has to be either 12 hours or less. So, we have ≤ 12.
They take 1 math course with x hours of homework, so in total, that is 1 * x = x hours of math homework.
They take 2 science courses with y hours of homework, so in total, that is 2 * y = 2y hours of science homework.
The inequality would then be x + 2y ≤ 12.
Part B: x + 2y = 12
2y = -x + 12
y = -1/2x + 6
You can use the Math is Fun: Function Grapher and Calculator to find the graph of the line, shown below.
Part C: Since the inequality uses a ≤ symbol, we know that the shading will be underneath the line. An appropriate point below the line includes (0, 0). We will test out whether it works as a point included in the inequality.
x + 2y ≤ 12
0 + 2 * 0 ≤ 12
0 + 0 ≤ 12
0 ≤ 12
Since this is a true statement, (0, 0) holds true for the inequality.
Hope this helps!
the domain for f(x) and g(x) is the set of all real numbers.
let f(x) = 3x + 5 and g(x) = x^2. find (f - g)(x).
Answer:
(f - g)(x) = - x² + 3x + 5Step-by-step explanation:
[tex]D_f=D_g\quad\implies\quad (f-g)(x)=f(x)-g(x)\\\\\\(f-g)(x)=f(x)-g(x)=(3x+5)-(x^2)=-x^2+3x+5[/tex]
Clinical Trial When XELJANZ (tofacitinib) was administered as part of a clinical trial for this rheumatoid arthritis treatment, 1336 subjects were given 5 mg doses of the drug, and here are the numbers of adverse reactions: 57 had headaches, 21 had hypertension, 60 had upper respiratory tract infections, 51 had nasopharyngitis, and 53 had diarrhea. Does any one of these adverse reactions appear to be much more common than the others? (Hint: Find the relative frequencies using only the adverse reactions, not the total number of treated subjects.)
Answer:
Relative frequencies:
Headaches = 23.55 %
Hypertension = 8.68%
Upper respiratory tract infections =24.79%
Nasopharyngitis = 21.07
Diarrhea = 21.09%
None of these adverse reactions appear to be much more common than the others.
Step-by-step explanation:
Compute frequency:
The number of adverse reactions categories:
Headaches
Hypertension
Upper respiratory tract infections
Nasopharyngitis
Diarrhea
Frequency of each adverse reaction:
Adverse reaction Frequency
Headaches 57
Hypertension 21
Upper respiratory tract infections 60
Nasopharyngitis 51
Diarrhea 53
Compute total frequency
Total frequency is compute dby taking sum of all frequencies;
Sum of frequencies = 57 + 21 + 60 + 51 + 53
= 242
Compute relative frequency:
In order to find if any one of these adverse reactions appear to be much more common than the others, we have to compute relative frequency using these adverse reactions.
By calculating relative frequency we are looking at the number of times a specific adverse reaction appears to be more common, compared to the others.
To calculate relative frequency, divide the frequency of each adverse reaction by the total frequency i.e. 242.
Relative frequency for Headache = 57 / 242
= 0.2355
= 23.55 %
Relative frequency for Hypertension = 21 / 242
= 0.0868
= 8.68 %
Relative frequency for Upper respiratory tract infections = 60 / 242
= 0.2497
= 24.97 %
Relative frequency for Nasopharyngitis = 51 / 242
= 0.2107
= 21.07 %
Relative frequency for Diarrhea = 53 / 242
= 0.2190
= 21.90 %
If you observe the relative frequencies of all the adverse reactions, none of them appear to be much more common than the others. Relative frequencies of headaches, upper respiratory tract infections, nasopharyngitis and diarrhea are almost equally common however, relative of hypertension appears to be very less than the other three.
$2,500 principal earning 4%, compounded quarterly, after 4 years $40,000.00 $41,600.00 $2,931.45 $2,924.65
Answer:
Amount= $2933.2
Step-by-step explanation:
The interest of $2,500 principal earning with rate of 4%, compounded quarterly, after 4 years
A= p(1+r/n)^(nt)
P= $2500
r= 4/100= 0.04
t= 4
n = 4*4= 16
A= 2500(1+0.04/16)^(16*4)
A= 2500(1+0.0025)^(64)
A= 2500(1.0025)^64
A= 2500(1.17328)
A= 2933.2
Amount= $2933.2
DatGuy! Sekkrit! Wishing! Anyone? Find the discriminant of 3x²+5x-2 = 0
Answer:
49
Step-by-step explanation:
[tex]3x^2+5x-2 = 0[/tex]
Apply discriminant formula : [tex]D = b^2- 4ac[/tex]
[tex]D=discriminant\\b=5\\a=3\\c=-2[/tex]
[tex]D = b^2- 4ac[/tex]
Plug in the values for a, b, and c.
[tex]D = 5^2- 4(3)(-2)[/tex]
Evaluate.
[tex]D = 25- 12(-2)[/tex]
[tex]D = 25- - 24[/tex]
[tex]D=25+24[/tex]
[tex]D=49[/tex]
Answer:
49
Step-by-step explanation:
3x²+5x-2 = 0
This is in the form
ax^2 + bx + c=0
a=3 b=5 c = -2
The discriminant is
b^2 -4ac
5^2 -4(3) (-2)
25 + 24
49
The discriminant is 49
The gray figure has been transformed in different ways.
Tell whether each statement is True or False.
Answer:
False ,false,true, true and true
Step-by-step explanation: