The percentage of each types of s. aureus
Fully susceptible (fs) to methicillin = 90% Somewhat susceptible (ss) to methicillin = 9% Killed only by a full treatment with methicillin = 1%Total number of individuals = 1000
Number of individuals susceptible (fs) to methicillin = 900
The percentage = (Number of individuals susceptible (fs) to methicillin / Total number of individuals) × 100
= (900/1000) × 100
= 90%
90 are somewhat susceptible (ss) to methicillin
The percentage = (90 /1000) × 100
= 9%
10 are killed only by a full treatment with methicillin (ft)
The percentage = (10/1000) × 100
= 1%
Therefore, the percentage of each types of s. aureus are 90%, 9% and 1%
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Write an equation and use it to solve for x.
The value of the x would be 9.
Option (A) is correct.
What is a complementary angle?
A complementary angle is an angle that, when added to another angle, forms a right angle (90 degrees). Complementary angles are pairs of angles that add up to 90 degrees.
Angle JKM and angle MKN are complementary angles
so
(3x + 2) + (6x + 7) = 90
9x + 9 = 90
9(x + 1) = 90
x + 1 = 10
x = 9
Hence, the value of the x would be 9.
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After solving the equation the value of the x would be 9. Therefore, the correct option is A.
What is a complementary angle?
A complementary angle is a pair of angles that add up to 90 degrees. Complementary angles can be adjacent angles, or angles that share a common vertex and side, or they can be nonadjacent angles that have no common points or sides. Complementary angles are usually referred to by their sum, such as "90-degree angles" or "angles that add up to 90 degrees." Complementary angles can also be called supplementary angles when they add up to 180 degrees.
Angle JKM and angle MKN are complementary angles
so (3x + 2) + (6x + 7) = 90
9x + 9 = 90
9(x + 1) = 90
x + 1 = 10
x = 9
Hence, the value of the x would be 9.
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Determine if the triangle pairs are similiar.
Yes , the triangles ΔSTU and ΔSRQ are similar triangles
What are similar triangles?
If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.
Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
Given data ,
Let the first triangle be ΔSTU
Let the second triangle be ΔSRQ
Now , for the triangles to be similar , the corresponding sides of the triangles should be in the ratio
So , on simplifying , we get
The measure of side ST = 21
The measure of side SU = 35
The measure of side SQ = 6
The measure of side SR = 10
Now , for similar triangles ,
ST / SQ = SU / SR
Substituting the values in the equation , we get
21 / 6 = 35 / 10
3.5 = 3.5
Therefore , the corresponding sides of the triangles are equal
Hence , the pair of triangles are similar triangles
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Hi sorry for the mistake this is the photo I was meant to post and I need help with number 6(iii)
Answer:
-2
Step-by-step explanation:
Given,
g(x) = f(4)
or, 2 - 4x = 3*4 - 2
or, 2 - 4x = 10
or, 2 - 10 = 4x
or, -8 = 4x
or, x = -2
Vashti is designing the cover of the school yearbook. She wants to draw a flower on the cover that looks the same for each rotation of 45 degrees. How many petals should the flower have?
The number of petals that the flower should have is of:
8 petals.
When does a figure has rotational symmetry?A figure has rotational symmetry when it can be rotated by an angle measure which is greater than 0º and less than 360º and the rotated image is equals to the original figure, that is, the image is equals to the pre-image.
In this problem, we want the flower to have a rotation symmetry of 45 degrees.
The total angle measure of the flower is given as follows:
360º.
Then the number of petals needed for the flower to have a rotational symmetry of 45º is calculated as follows:
360/n = 45.
Applying cross multiplication, we have that:
45n = 360
n = 360/45
n = 8 petals.
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equivalent expression for 1.2 cubed over 1.3 raised to the fourth power all raised to the power of negative seven
Answer:
management accountant prepared a decision model which solve sell at split off or process
further decision problem. Which function did he provided?
A. Scorekeeping function C) Problem solving function
B. Attention directing function. D) Record keeping function E) None
A student must save at least $675 plus 3% tax to buy a round-trip ticket to London. The student has $98 saved already.
If the student earns $32 per week and plans to save half of the earnings each week toward the ticket cost, how many weeks will it take the student to save enough money for the ticket?
It will take 38 weeks a student to save enough money for the ticket.
What is division?Mathematical operations come in several types, with division being one. The phrases or numbers are divided into the same number of components during this operation.
Given,
a student must save at least $675 plus 3% tax to buy a round-trip ticket to London.
3% of 675
= 3 x 675 / 100
= 20.25
The student has $98 saved already.
Now student needs ($675 - $98) + 20.25 = $577 + 20.25
= $597.25
If the student earns $32 per week and plans to save half of the earnings each week toward the ticket cost.
That means, $32 / 2 = $16 per week.
To find the amount of enough money:
Divide $597.25 by $16.
597.25 /16
= 37.328125
≈ 38 weeks
Therefore, student will save for 38 weeks.
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giving barinly to someone who answers in a complete sentence and who is write
Approximate √15 to the nearest integer.
Explain how you got your answer.
The square root of 15 is approximately 4.
To approximate the square root of 15, we can find the perfect squares that are closest to 15. The perfect squares that are closest to 15 are 9 and 16. Since 15 is closer to 16, we can say that the square root of 15 is slightly less than 4.
Another approach could be:
The square root of 15 is approximately 3.87. Rounding to the nearest integer gives us 4. To round a number, we look at the number following the place value we are rounding to. If it is greater than or equal to 5, we round up. If it is less than 5, we round down. In this case, the digit following the ones place is 8, which is greater than 5, so we round up to 4.
NEED HELP ASAP!
Refer to the triangle.
What is the length of side AB?
(Blank) units
After solving the equation the length of AB is [tex]2\sqrt{3}[/tex]
What do you mean by trigonometry?
Trigonometry “triangle” and “measure”) is a branch of mathematics that studies the relationship between the side lengths and angles of triangles.
A trigonometric ratio is the ratio between the edges of a right triangle.
The sine function (sin) defined as the ratio of the opposite side of the angle to the hypotenuse.
In the given triangle ABC , use sin ratio to find AB.
tan θ = P/B
tan 30 = AB/6
[tex]\frac{1}{\sqrt{3} } =AB/6[/tex]
AB = [tex]\frac{6}{\sqrt{3} }[/tex] = [tex]\frac{6}{\sqrt{3} }\times \frac{\sqrt{3}}{\sqrt{3}}= \frac{6\sqrt{3}}{3}=2\sqrt{3}[/tex]
Therefore, length of AB is [tex]2\sqrt{3}[/tex]
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What is (x + 3)(x - 5) in generic rectangle
the area of the generic rectangle will be x²-2x-15.
What is a rectangle?
Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A quadrilateral with equal angles and parallel opposite sides is referred to as a rectangle. Around us, there are a lot of rectangle items. The length and width of any rectangle form serve as its two distinguishing attributes. The width and length of a rectangle, respectively, are its longer and shorter sides.
Area of rectangle is A = a*b
(x + 3)(x - 5) in a generic rectangle
The product will give the area
x²-2x-15
hence the area of the generic rectangle will be x²-2x-15.
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help ???????????????
a. 4(x - 5)^2
= 4 * (x - 5)^2
= 4 * ((x - 5) * (x - 5))
= 4x^2 - 40x + 100
b. 3(x + 1) (2x - 9)
= (3(x + 1)) (2x + −9)
= (3(x + 1))(2x) + (3(x + 1))(−9)
= 6x^2 + 6x − 27x − 27
= 6x^2 − 21x − 27
c. -2(4x + 2)^2
= -2 * (4x + 2)^2
= −2 * ((4x + 2) * (4x + 2))
= 32x^2 − 32x − 8
or d. -2(4x + 2)^2 - 5 (with subtracting 5)
= −32x^2 + −32x + −8 + −5
= (−32x^2) + (−32x) + (−8 + −5)
= −32x^2 + −32x + −13
d. -3(5x - 2)^2 + 5 (with negative)
= 75x^2 + −60x + 12 + 5
= 75x^2 + −60x + 12 + 5
= (75x^2) + (−60x) + (12 + 5)
= 75x^2 + −60x + 17
or d. 3(5x - 2^2 + 5 (without negative)
= (3)(5x + −4 + 5)
= (3)(5x) + (3)(−4) + (3)(5)
= 15x − 12 + 15
= 15x + 3
Which expression is equivalent to the perimeter of your the rectangle shown below?
The expression that is equivalent to the perimeter of the rectangle in the image shown is, 6x + 8.
How to Find the Perimeter of a Rectangle?To find the perimeter of a rectangle, add all the four sides of the rectangle. The following formula can be used:
Perimeter (P) = 2(length + width).
In the rectangle shown below, the dimensions are:
Length of rectangle = 2x + 3
Width of rectangle = x + 1
Substitute into the perimeter each expression of the dimensions:
Perimeter = 2[(2x + 3) + (x + 1)]
Open the parentheses by applying the distributive property of equality:
Perimeter = 2(2x + 3 + x + 1)
= 2(3x + 4)
= 2(3x) +2(4)
= 6x + 8
Therefore, the expression is, 6x + 8.
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thats all of my points if yo get it right i give u an thanks and i will choose you as the brainlyest answer.
Answer:
3/4
Step-by-step explanation:
B is highlighting 3 for the 4 rows.
PLS HELP ME I NEED IT I PUT A PICTURE
Answer: <D, < E, <C
Step-by-step explanation:
Helppppp meeeee guyssss
please help, this is my finals & i don’t know it
Answer:
i think that answer is correct
Step-by-step explanation:
the distribution of scores on a recent test closely followed a normal distribution with a mean of 22 points and a standard deviation of 2 points. for this question, do not apply the standard deviation rule. (a) what proportion of the students scored at least 27 points on this test, rounded to five decimal places?
Therefore ,0.62097 % proportions of students scored at least 27 points on this test
What do you learn from z-scores?The Z-score provides information on how far a given value deviates from the standard deviation. The Z-score, also known as the standard score, indicates how many standard deviations above or below the mean a specific data point falls. The level of variability within a particular data collection is effectively reflected in the standard deviation.
Here,
z = (x - μ)/σ
here ,raw score =x ,standard deviation=σ and mean= μ
μ = 22, σ = 2
For x > 27:
z = (27 - 22)/2 = 1
P(z > 1) = 1 - P(z < 1) = 1 - 0.99379 = 0.0062097
Therefore , 0.62097 % of students scored at least 27 points on this test
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The price of a pair of shoes after 8% sales tax was added was $77.76. Find the original price before sales tax
Answer: $71.53
Step-by-step explanation:
77.76 = 100%
What is the solution to this
inequality?
8.6 ≤ x - 5 4/5
Answer:
x ≥ 72/5
8.6 ≤ x -5 4/5= 8.6 ≤ x -29/5
8.6 ≤ x -29/5= x ≥ 72/5
Find the sum of (–4 i) and (10 – 5i). –3 5i –3 – 5i 6 – 4i 6 – 6i
The sum of the two complex numbers will give:
(-4 + i) + (10 - 5i) = 6 - 4i
So the correct option is the third one.
How to add two complex numbers?Let's assume we have two complex numbers which are:
A = a + bi
B = c + di
The sum between these two complex numbers is:
A + B = (a + bi) + (c + di)
Taking i as a common factor we can rewrite:
(a + bi) + (c + di) = a + c + (b + d)i
And that is the general sum.
Here we want to solve:
(-4 + i) + (10 - 5i)
Again, if we take i as a common factor we can rewrite:
-4 + 10 + (1 - 5)*i
6 - 4i
So the correct option is the third one.
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If cos2β = 3/4 and ß terminates in quadrant III, find cosβ :
Answer:
cosβ = -1/2
Step-by-step explanation:
Since cos2β = 3/4 and β is in quadrant III, the value of cosβ must be negative. We can find the exact value of cosβ by using the identity cos2β = 2cos^2β - 1. Substituting 3/4 for cos2β and solving for cosβ, we get:
3/4 = 2cos^2β - 1
cos^2β = 1/4
cosβ = 1/2 or -1/2
Since cosβ is negative in quadrant III, the value of cosβ is -1/2. Thus, the answer is cosβ = -1/2.
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The digits in the product of 0.48 and a decimal number between 350 and 400 are 182136. Explain how to correctly place the decimal point without knowing the other factor. Then Place place the decimal point in the product.
The decimal point is to be placed three places to the left.
What are decimal numbers?
When we divide a whole number into smaller parts, we get decimals. Then, there are two parts to a decimal number: a whole number part and a fractional part. The whole component of a decimal number has the same decimal place value system as the complete number. After the decimal point, however, when we proceed to the right, we obtain the fractional portion of the decimal number.
Given that, in the question, the product of a decimal number between 350 and 400 and 0.48 results in the numbers 182136. As 0.48 is just 48/100, let's take a decimal number between 350 and 400.
If the number is 370.1, for example, we can write it as 3701/10 because it has one decimal point.
Our denominator will be 1000, because both the denominators are 100 and 10, which is equivalent three decimal places to the left of the result when we multiply 48/100 by 3701/10.
The result provided to us should therefore be written as 182.136, with the decimal point moved three spaces to the left.
The decimal point is to be placed three places to the left.
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Rob and Jeni each recruit three people to be election campaign volunteers. The next week they ask each of those volunteers to recruit three more campaign volunteers. They want all new volunteers each week to recruit three more volunteers.
The number of volunteers recruited for the first 5 weeks is; 486 people
How to calculate the geometric sequence?
A geometric sequence is defined as a sequence in which the result of the division of consecutive terms is always the same, called common ratio r.
The nth term of a geometric sequence is given by:
aₙ = a₁rⁿ⁻¹
where;
a₁ is the first term
r is the common ratio
In this question, on the first week there are 6 people, and since each new people involve three more, the common ratio is 3, hence the parameters for the geometric sequence are:
a₁ = 6
r = 3
Hence the number of people after n weeks is:
aₙ = 6(3)ⁿ⁻¹
Thus, the number of volunteers recruited for the first 5 weeks is;
a₅ = 6(3)⁵⁻¹
a₅ = 6 * 3⁴
a₅ = 486
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Zhi bought 18 tickets for games at a fair. Each game requires 3 tickets. Zhi wrote the
expression 18
3g to
find the number of tickets she has left after playing g games.
Diego correctly wrote another expression, 3(6 -
g), that will also find the number of
tickets Zhi has left after playing g games.
Use the drop-down menus to explain what each part of Zhi's and Diego's expressions
mean.
Answer:
Zhi's Expression:
18: The total number of tickets
3: The number of tickets required for each game
g: The number of games played
Diego's Expression:
3: The number of tickets required for each game
(6 - g): The total number of tickets minus the number of games played
Step-by-step explanation:
solve for x.
enter your answer as a mixed number in simplest form in the box.
x =
Answer:
x + x - x = x
explanation:
give us the actual formula lol
Question 1
Find the midpoint of the line segment with these
endpoints: (7,-6), (-6, -8)
A) (-18, -10)
B) (6.5, 1)
C) (0,5)
D) (.5, -7)
OB
OC
OA
OD
10 pts
Answer:
D
Step-by-step explanation:
(7+-6)/2
(7-6)/2
1/2
(-6+(-8)/2
(-6-8)/2
-14/2
-7
(.5,-7)
Four more than the product of a number and 8 is equal to 7.
Answer: x = 0.375
Step-by-step explanation:
Equation: 8x + 4 = 7
Subtract 4 on both sides
8x = 3
Divide by 8 on both sides
x = 3/8 is 0.375 decimal
x = 0.375 (0.38 round-up)
Answer:
x = 3/8
Step-by-step explanation:
Four more than the product of a number and 8 is equal to 7.
4 + 8x = 7
8x = 7 - 4
8x = 3
x = 3/8
---------------------
check
4 + 8 x 3/8 = 7
4 + 3 = 7
7 = 7
the answer is good
find the inverse of f(x)=√x+4-2
Given the functions f(x) = x3 + x2 – 3x + 4 and g(x) = 2x – 4, what type of functions are f(x) and g(x)? Justify your answer. What key feature(s) do f(x) and g(x) have in common? (Consider domain, range, x-intercepts, and y-intercepts.)
1. f(x) - cubic function -- polynomial , g(x) - linear function
similar
domain all real numbers (?)range is all real number, end behavior is the sameThe function f(x) = x³+x²-3x+4 is a polynomial function and g(x) = 2ˣ-4 is an exponential function.
Domain: -∞ < x < ∞
Range: -∞ < y < ∞
y-intercept = 4
x - intercepts = -2.68
Function g(x)
Domain: x > 0
Range: -4 < y < ∞
y - intercept = -4
x - intercepts = none
By comparing the key features above, we can conclude that the common features in both functions are their range
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Given the explicit formula for an arithmetic sequence find the first five terms and the term named in the problem.
1) a n = -11 +7n Find a 34
2) a n = 65-100n Find a 39
3) a n = -7.1-2.1n Find a 27
4) a n = 118 +1 2 n Find a 23
Answer: 59
Step-by-step explanation:
Describe fully the single transformation that the maps triangle a onto triangle b
The transformations that took for mapping ΔA onto ΔB are:
a) Translated the triangle A 2 units to the right,
b) Reflected the ΔA' (translated A) over the y-axis,
c) Reflected the ΔA'' (reflected A) over the x-axis, resulting in ΔB.
What are transformation rules applied to triangle A to form triangle B?The transformation rules are:
a) Translation: (x, y) ⇒ (x + 2, y) (In the right side direction)
b) Reflection over the y-axis: (x, y) ⇒ (-x, y)
c) Reflection over the x-axis: (x, y) ⇒ (x, -y)
Calculation:The given vertices of triangle A are: (-2, 3), (-5, 3), and (-5, 5).
a) Applying translation by 2 units to the right to triangle A:
(-2, 3) → (-2 + 2, 3) → (0, 3)
(-5, 3) → (-5 + 2, 3) → (-3, 3)
(-5, 5) → (-5 + 2, 5) → (-3, 5)
So, triangle A is translated to triangle A'.
b) Applying reflection over the y-axis to the triangle A':
(0, 3) → (0, 3)
(-3, 3) → (3, 3)
(-3, 5) → (3, 5)
So, triangle A' is reflected as triangle A''.
c) Applying reflection over the x-axis to triangle A'':
(0, 3) → (0, -3)
(3, 3) → (3, -3)
(3, 5) → (3, -5)
Thus, the formed triangle is B at the vertices (0, -3), (3, -3), and (3, -5).
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