Answer:
The number of measles vaccines that Dr. Potter give than polio vaccines is 30
Step-by-step explanation:
The parameters given are;
The number of doses given in a polio vaccine = 6 doses
The number of doses given in a measles vaccine = 3 doses
The number of vaccinations given by Dr. Potter last year = 60 vaccinations
The number of doses given in the 60 vaccinations = 225 doses
Let the number of polio vaccine given last year by Dr. Potter = x
Let the number of measles vaccine given last year by Dr. Potter = y
Therefore, we have;
6 × x + 3 × y = 225.......................(1)
x + y = 60.......................................(2)
From equation (2), we have;
x = 60 - y
Substituting the derived value for x in equation (1), we get;
6 × x + 3 × y = 225
6 × (60 - y) + 3 × y = 225
360 - 6·y + 3·y = 225
360 - 225 = 6·y - 3·y
135 = 3·y
y = 45
x = 60 - y = 60 - 45 = 15
Therefore;
The number of polio vaccine given last year by Dr. Potter = 15
The number of measles vaccine given last year by Dr. Potter = 45
The number of measles vaccines that Dr. Potter give than polio vaccines = 45 - 15 = 30 vaccines.
The number of measles vaccines that Dr. Potter give than polio vaccines = 30 vaccines.
4 - Q = -2 what is Q
Answer:
Q = 6
Step-by-step explanation:
Step 1: Write equation
4 - Q = -2
Step 2: Subtract 4 on both sides (Subtraction Equality)
-Q = -6
Step 3: Divide -1 on both sides (Division Equality)
Q = 6
And we have our answer!
Answer:
[tex] \boxed{Q = 6}[/tex]Step-by-step explanation:
[tex] \mathrm{4 - Q = - 2}[/tex]
Move constant to R.H.S and change its sign
[tex] \mathrm{ - Q = - 2 - 4}[/tex]
Calculate
[tex] \mathrm{ - Q = - 6}[/tex]
Change the signs on both sides of the equation
[tex] \mathrm{Q = 6}[/tex]
Hope I helped!
Best regards!
Simplify cos^2theta(1+ tan^2theta)
Answer:
1
Step-by-step explanation:
We will use x instead of theta
● cos^2 x *(1+tan^2x)
We khow that: 1+ tan^2 x = 1/cos^2 x
Replace 1+tan^2 x by the new expression
● cos^2 x (1/cos^2 x)
● cos^2x/ cos^2 x
● 1
Get this correct i will give u brainliest.
Answer:
x = - 2, y = - 8
Step-by-step explanation:
Given the 2 equations
13x - 6y = 22 → (1)
x = y + 6 → (2)
Substitute x = y + 6 into (1)
13(y + 6) - 6y = 22 ← distribute and simplify left side
13y + 78 - 6y = 22
7y + 78 = 22 ( subtract 78 from both sides )
7y = - 56 ( divide both sides by 7 )
y = - 8
Substitute y = - 8 into (2) and evaluate for x
x = - 8 + 6 = - 2
Thus x = - 2, y = - 8
SOMEBODY PLEASE HELP ME ON THIS ; DUE TODAY, i’ll mark u the brainliest
Answer: Angle Addition Postulate
Step-by-step explanation:
According to the angle addition postulate, the measure of an angle formed by two angles side by side is the sum of the measures of the two angles. It is used to evaluate the measure of an angle formed by two or more angles .In the given picture, we have ∠MRO and ∠MRS on line SRO.
So, ∠SRO = ∠MRO +∠MRS [By angle addition postulate]
So the postulate that justify the statement " ∠SRO = ∠MRO +∠MRS" is Angle Addition Postulate.
Suppose that the cost of renting a snowmobile is $37.50 for 5 hours.
a. If c represents the cost and ݄ represents the hours, which variable is the dependent variable?
b. What would be the cost of renting 2 snowmobiles for 5 hours? please and thanks ( i"ll give brainiest )
a shop has a sale and reduces all the prices by 15k in naira.find the sale price of an article of an article marked at 750naira
Answer:
Question (i):
Reduce = 15% of Rs 40 = 0.15 x 40 = Rs 6
Price after reduced = Rs 40 - Rs 6 = Rs 36
Answer: Rs 36
-
Question (ii):
Reduce = 15% x 20.40 = 0.15 x 20.40 = Rs 3.60
Price after reduced = Rs 20.40 - Rs 3.60 = Rs 17.34
Answer: Rs 17.34
-
Convert to slope-intercept from: y-3=6(x-5)
Answer:
y = 6x -27
Step-by-step explanation:
y-3=6(x-5)
Distribute
y-3 = 6x-30
Add 3 to each side
y-3+3 = 6x-30+3
y = 6x -27
This is in slope intercept form y=mx+b where m is the slope and b is the y intercept
Hey there! I'm happy to help!
Slope intercept form is y=mx+b. So, the first thing we want to do is isolate y on side of the equation.
y-3=6(x-5)
We use distributive property to undo parentheses.
y=3=6x-30
We add 3 to both sides.
y=6x-27
Now, this in slope intercept form.
Have a wonderful day! :D
Find the area of the shaded region
A. 12 ft^2
B. 36 ft^2
C. 40.5 ft^2
D. 18 ft^2
Answer:
The shaded area is 18 ft^2
Step-by-step explanation:
First find the area of the total trapezoid
A = bh
A = 1/2 ( b1+b2) *h
= 1/2 ( 6+12) *6
= 1/2 ( 18)*6
=54
Now find the area of the triangle
A = 1/2 bh
= 1/2 ( 12) * 6
= 36
Subtract the triangle from the trapezoid
54-36
18
The shaded area is 18 ft^2
Answer:
D. 18 sq.ft
Step-by-step explanation:
Lets make it simple and short.
Area of a triangle is 1/2 b h
b = 6
h = 6
Area = 1/2 * 6 * 6
Area = 18 sq.ft
answer it answer it it
Answer:
answer it answer it it
answer it answer it it
Answer:
the answer is answer i hope u have a great day
(if u apricate me giive me a brainly by pressing the crown and giving me a heart) THANKS!!!
Step-by-step explanation:
A standard deck of 52 playing cards contains 13 cards in each of four suits: hearts, diamonds, clubs, and spades. Four cards are drawn from the deck at random. What is the approximate probability that exactly three of the cards are diamonds? 1% 4% 11% 44%
Answer:
4%
Step-by-step explanation:
There are ₁₃C₃ ways to choose 3 diamonds from 13.
There are ₃₉C₁ ways to choose 1 non-diamond from 39.
There are ₅₂C₄ ways to choose 4 cards from 52.
Therefore, the probability is:
₁₃C₃ ₃₉C₁ / ₅₂C₄
= 286 × 39 / 270,725
≈ 0.04
The approximate probability that exactly three of the cards are diamonds is 4%.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
We are given that standard deck of 52 playing cards contains 13 cards in each of four suits: hearts, diamonds, clubs, and spades.
Since we can see that there are ₁₃C₃ ways to choose 3 diamonds from 13.
₃₉C₁ ways to choose 1 non-diamond from 39.
₅₂C₄ ways to choose 4 cards from 52.
Therefore, the probability is:
₁₃C₃ ₃₉C₁ / ₅₂C₄
= 286 × 39 / 270,725
≈ 0.04
Therefore, the answer could be 4 percent.
Learn more about probability here;
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How to do this question plz answer me step by step plzz
Answer:
Hope it helps U can still ask me if u have confusions
Answer:
60+16√30 cm² ≈ 147.64 cm²
Step-by-step explanation:
You can figure the height of the object from ...
V = Bh
120 cm^3 = (30 cm^2)h
4 cm = h . . . . . divide by 30 cm^2
However, this is insufficient to tell you the surface area.
__
If you assume that the base is square, then its side length is
A = s^2
s = √A = √(30 cm^2) = (√30) cm
The lateral surface area can then be found from the perimeter of the base and the height
LA = Ph = (4√30 cm)(4 cm) = 16√30 cm^2
The total surface area will be the sum of this lateral area and the area of the two bases:
total area = 16√30 cm^2 +2·30 cm^2
total area = (60 +16√30) cm^2 ≈ 147.64 cm^2
__
For any other shape, the total area will be larger. It can be arbitrarily large, unless limits are put on the dimensions of the object.
[tex]\frac{63,756×60}{70×5,280}[/tex]
Answer:
[tex]1035[/tex]
Step-by-step explanation:
(63756×60)/(70×5280)
=1035
Tom finished reading 3/7 of a book in the first week, and he read 3/4 of the remainder in the second week. what fraction is left?
Answer:
1/7 is left
Step-by-step explanation:
What is left to read after the first week
1 - 3/7
7/7 - 3/7
4/7
He read 3/4 of this the second week
4/7 * 3/4
3/7 was read
4/7 - 3/7 is what is left
1/7 is left
Answer:
The correct answer is
Step-by-step explanation:
1/7 of the book is left to read.
Hope this helps....
Have a nice day!!!!
what’s the equation of line ?
y =__x + __
Answer:
y=3/4x-2
Step-by-step explanation:
two points from graph (0-2) and (8,4)
find slope m: y2-y1/x2-x1
m=4+2/8-0
m=6/8=3/4
x=0 then y=b=-2
y=3/4x-2
Please help me understand this number sequence
Answer:
Step-by-step explanation:
A=a(r)^t
a=1
time=2.5 hours=25/10 ×60=150 minutes
10t=150
t=150/10=15
[tex]A=1(2)^{15}=32,768[/tex]
a cone with base radius 7 cm has a volume of 308 cm cube find the vertical height of the cone take π 22/7
pls now
Answer:
h=6.003 cm
Step-by-step explanation:
[tex] \frac{1}{3} \pi {r}^{2} h \: \: is \: the \: volume \: of \: cone[/tex]
1/3×22/7×7×7×h=308
h=308/51.3
Answer:
h = 6 cm
Step-by-step explanation:
r = 7 cm
Volume of cone = 308 cm³
[tex]\frac{1}{3}\pi r^{2}h=308\\\\\\\frac{1}{3}*\frac{22}{7}*7*7*h=308\\\\\\h=\frac{308*3*7}{22*7*7}\\\\\\h=2*3[/tex]
h = 6 cm
What is the measure of angle B?
Answer:
b = 60
Step-by-step explanation:
The sum of the angles of a triangle are 180
80+40+b = 180
Combine like terms
120+b =180
Subtract 120 from each side
b = 180-120
b = 60
Answer:
60°
Step-by-step explanation:
Recall that all triangles have an interior angle sum of 180. In other words:
[tex]\angle A+\angle B +\angle C = 180[/tex]
Plug in the angle values we know:
[tex](80)+(40)+\angle B = 180\\120+\angle B =180\\\angle B = 60\textdegree[/tex]
5 times the quantity 7 minus a number f in an algebraic expression.
Answer:
(5*7)-f
Step-by-step explanation:
Algebraic expression for the given statement is [tex]5 \cdot 7 -f[/tex]
Algebraic expressionAlgebraic expression is the combination of terms that consists of numbers and variables connected by arithmetic operators.
Given statement is 5 times the quantity 7 minus a number f in an algebraic expression.
We need to write it in an algebraic expression
5 times a quantity. for product we use multiplication sign
For addition we use + sign and for difference we use minus sign .
5 times the quantity 7 means 5 multiplied by 7
[tex]5 \cdot 7[/tex]
5 times the quantity 7 minus a number f
subtract f from the expression we got
[tex]5 \cdot 7 -f[/tex]
Algebraic expression for the given statement is [tex]5 \cdot 7 -f[/tex]
Learn more information about 'Algebraic expression ' here:
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Which phrase best describes the relationship indicates by the scatter plotting?
Answer: negative correlation
Step-by-step explanation: If you look at the points in this graph here, I would say that those points are very close to a perfect line.
Notice that the slope of the line is negative.
This means it will be a negative correlation.
So the line is a very good estimate of the points.
The solutions to (x + 3)^2- 4=0 are x = -1 and x = -5
True or false
Answer:
THE ANSWER WOULD BE TRUE MY FRIEND
what is the value of -19- (-18)?
Answer:
-1 is the answer
Step-by-step explanation:
I can't do the explanation of this question
Answer:
-1
Step-by-step explanation:-19 + 18 is basically how it is they end up canceling each other out except for the -1 which is the answer.
please help :) Write the number shown in standard notation. 6.94 x 10 to the 6 power A. 694 B. 6,940,000 C. 694,000,000 D. 694,000
Answer:
B. 6,940,000
Step-by-step explanation:
6.94 x 10^6
Make the number "6.94" as 694.
Since we make this decimal point move 2 places to the right.
We should decrease 2 powers from 10^6
=> 694 x 10^4
=> 694 x 10000
=> 6,940,000
So, the answer is B
After taking off from the landing pad, a helicopter flies 3 miles west, then 2 miles southeast. How far is the helicopter from the landing pad? If someone could explain to that would be very helpful
Answer:
When the plane makes its turn to fly southeast, it makes a 45º angle at point a, making angle abc also equal to 45º.
Line ab is the 2 miles southeast the plane flies.
Line ac = line cb
sine (45º) = opposite / hypotenuse = cb / 2
.70711 = cb / 2
cb = 1.41422 miles = line ac
Line cs = 3 - 1.41422 = 1.58578
Line x^2 = cs^2 + cb^2
Line x^2 = 2.5146982084 + 2.0000182084
Line x^2 = 4.5147
Line x = 2.1248
Step-by-step explanation:
#5 Find the distance between the points on the graph.
Answer:
approximately 12.04 units
Step-by-step explanation:
We'll use the Pythagorean Theorem to solve this problem.
There are two points here. The horizontal distance between them is 8 units and the vertical distance is 9.
According to the Pythagorean Theorem (or the Distance Formula), the distance between the two points is
d = √(8^2 + 9^2) = √(64 + 81) = √145 units, or approximately 12.04 units.
Solve the equation for x
Answer:
x = 33
Step 1:
First, let's add the values together from both parentheses.
2x + x = 3x
1 + (-10) = -9
Now we are left with:
3x - 9 = 90.
Step 2:
Add 9 on the left side to cancel out the 9. Add it to the right side.
3x = 99
Finally, divide both sides by 3 to get our answer.
3x / 3 = x
99 / 3 = 33
x = 33
which one represents translation
Answer:
The third one
Step-by-step explanation:
Translation is when it moves
23^3 (-12)^3 +(-11)^3 without actually calculating cubes
Answer:
9108
Step-by-step explanation:
23^3+(-12)^3+(-11)^3 remove parentheses
= 23^3-12^3-11^3 group difference of two cubes
= (23-12)(23^2+23*12+12^2) + 11^3 factor difference of two cubes
= 11 (23^2+23*12+12^2-11^2) factor ou 11
= 11(23(23+12) + (12+11)(12-11)) apply difference of two squares
= 11 (23*35+23*1) factor out 23
= 11(23*(35+1)) simplify
= 11*23*36 convert 11*23 into difference of 2 squares
= (17^2-6^2)*6^2 expand parentheses
= 102^2-36^2 evaluate squares
= 10404 - 1296 subtraction
= 9108
(no calculator required)
Please answer now question
Answer:
1664 yd²Step-by-step explanation:
P = 2•(¹/₂•24•16) + 2•(20•20) + 24•20 = 384 + 800 + 480 = 1664 yd²
Lines T U and R S intersect lines M N and P Q. Where line T U intersects with lines M N and P Q, right angles are formed. Lines M N and P Q are straight lines that are next to each other and they will never intersect. Lines T U and R S are next to each other and could intersect. Which two statements are both true?
c. Tu | MN and MN || PQ I am done with the interview
For the function f(x) = 3(x − 1)2 + 2, identify the vertex, domain, and range.
Answer:
Ok, our function is:
f(x) = 3*(x - 1)^2 + 2.
First, domain:
We should assume that the domain is all the set of real numbers, and then we see if for some value we have a problem.
In this case we do not see any problem (we can not have a zero in the denominator, and there is no function that has problems with some values of x)
Then the domain is the set of all real numers.
Vertex:
Let's expand our function:
f(x) = 3*x^2 - 3*2*x + 1 + 2
f(x) = 3*x^2 -6*x + 2
The vertex of a quadratic function:
a*x^2 + b*x + c is at:
x = -b/2a
here we have:
a = 3 and b = -6
x = 6/2*3 = 6/6 = 1.
And the value of y at that point is:
f(1) = 3*(1 - 1)^2 + 2 = 2
Then the vertex is at: (1, 2)
Range:
The range is the set of all the possible values of y.
Ok, we can see that the leading coefficient is positive, this means that the arms of our quadratic function will go up.
Then the minimal value of our quadratic function is the value at the vertex, y = 2.
This means that the range can be written as:
R = y ≥ 2
So the range is the set of all real numbers that are larger or equal than 2.
