Answer:
If you have 6 chocolate and you have to divide that into 15 people than the answer will be 2 upon 5 or 0.4 for each.
A medication order states, normal saline (ns) iv to infuse at 125 ml/hr. How many ml will infuse in 8 hours? (record answer as a whole number. Do not use a trailing zero. )
The amount of medicine infused in 8 hours is 1000ml.
According to the statement
we have given that the medicine normal saline (ns) iv to infuse at 125 ml/hr.
and we have to find the total amount of medicine infuse in the 8 hours in the whole number value.
So,
An infusion is the creation of a new substance by steeping another substance in a liquid, usually water
we have given a rate of infusion of medicine per hour which is 125 ml/hr.
And
Amount of medicine infuse in 1 hour is 125 ml
And the Amount of medicine infuse in 8 hours = 125*8
Amount of medicine infuse in 8 hours = 1000 ml.
So, The amount of medicine infused in 8 hours is 1000ml.
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Beth is planning a playground and has decided to place the swings in such a way that they are the same distance from the jungle gym and the monkey bars. If Beth places the swings at point D, how could she prove that point D is equidistant from the jungle gym and monkey bars?
If segment DC bisects segment AB, then point D is equidistant from points A and B because a point on a perpendicular bisector is equidistant from the endpoints of the segment it intersects.
If segment DC bisects segment AB, then point D is equidistant from points A and B because congruent parts of congruent triangles are congruent.
If segment AD bisects segment AB, then point D is equidistant from points A and B because a point on a perpendicular bisector is equidistant from the endpoints of the segment it intersects.
If segment AD bisects segment AB, then point D is equidistant from points A and B because congruent parts of congruent triangles are congruent.
Option A is correct. If segment DC bisects segment AB, then point D is equidistant from points A and B because a point on a perpendicular bisector is equidistant from the endpoints of the segment it intersects. This can be obtained using perpendicular bisector theorem.
What is perpendicular bisector theorem ?Perpendicular bisector theorem : In a plane, if we choose a point, say D, on the perpendicular bisector,say PQ, drawn from segment, say AB, then the point D is equidistant from the endpoints, that is A and B, of the segment.
That is, perpendicular bisector PQ of line segment AB is the line with Q = 90° and Q is the midpoint of AB ⇒ AQ = BQ. A point on PQ say D is equidistant from A and B ⇒AD and BD.
Thus in the given question we can use perpendicular bisector theorem.
Here DC is the perpendicular bisector of the line segment AB and therefore AD and BD are equal.
Hence it is clear that Option A is correct.
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A dog takes 3 steps to walk the same distance for which a cat takes 4 steps. Suppose 1 step of the dog covers 1 foot. How many feet would the car cover in taking 12 steps
Answer:
the cat would take 13 steps
It cost jose $8.70 to send 87 text messages. How much would it cost to send 10 text messages?
Answer:
One dollar
Step-by-step explanation:
So you divide 8.70 by 87 to get 0.10. So then you multiply 0.10 by 10 to get a dollar
Sending 87 text messages cost $8.70. Sending 10 text messages would cost $1.00.
Use the concept of fraction defined as:
A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p / q.
Given that,
Cost to send 87 text messages: $8.70
Number of text messages: 87
To find out how much it would cost to send 10 text messages,
Use a proportion.
If it cost Jose $8.70 to send 87 text messages,
Set up the proportion:
$8.70 / 87 messages = x / 10 messages
To solve for x,
Cross-multiply and divide:
($8.70 x 10) / 87 = $1.00
Therefore, it would cost $1.00 to send 10 text messages.
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im not he brighest with math and i need help
Answer:
113.04 ft^2
Step-by-step explanation:
area of the circle= 3.14*(6)^2
A linear expression does not have a squared variable.
it is true that a linear expression does not have a squared variable.
How to determine the true statement?The following are the forms of a linear expression
y = mx + c
Ax + By = C
x = a
Notice that none of the above expressions have a squared variable
This means that, a linear expression does not have a squared variable.
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What is the expansion of the series
sum from n equals 1 to 4 of 4 to the n plus 1 power
4 + 8 + 12 + 16
4 + 16 + 64 + 256
16 + 64 + 256 + 1,024
16 + 20 + 24 + 28
The expansion of the series is 16 + 64 + 256 + 1024
How to expand the series?The series is given as:
[tex]\sum\limits^4_{n=1} 4^{n+1}[/tex]
When n = 1, we have:
[tex]4^{n+1} = 4^{1+1} = 16[/tex]
[tex]4^{n+1} = 4^{2+1} = 64[/tex]
[tex]4^{n+1} = 4^{3+1} = 256[/tex]
[tex]4^{n+1} = 4^{4+1} = 1024[/tex]
Hence, the expansion of the series is 16 + 64 + 256 + 1024
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Answer:
C). 16 + 64 + 256 + 1,024
Step-by-step explanation:
I took the test and got it right :)
Which set of numbers can represent the side lengths, in millimeters, of an obtuse triangle?
8, 10, 14
9, 12, 15
10, 14, 17
12, 15, 19
Answer:
8, 10, 14
Step-by-step explanation:
1. 8² + 10² = 164 and 14² = 196, so this works.
2. 9² + 12² = 15² = 225, so this is a right triangle.
3. 10² + 14² = 296 and 17² = 289, so this is an acute triangle.
4. 12² + 15² = 369 and 19² = 361, so this is an acute triangle.
Answer:
a
Step-by-step explanation:
What is the slope of the line through (3,2) and (-3,4)?
Answer:
slope = - [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, 2 ) and (x₂, y₂ ) = (- 3, 4 )
m = [tex]\frac{4-2}{-3-3}[/tex] = [tex]\frac{2}{-6}[/tex] = - [tex]\frac{1}{3}[/tex]
[tex]\small\mathbb\green{slope=M= \frac{y2 - y1}{x2 - x1} = \frac{4 - ( - 2)}{3 - 3} \: = \frac{6}{0} \: = ∞} [/tex]
Calculate the first difference between 7, and where 7,-688. 2
The difference between the numbers given is 6.882.
How to illustrate the information?Based on the information given, it should be noted that difference means subtraction.
The difference between the numbers given will be:
= 7 - (7 - 6.882)
= 7 - 0.118
= 6.882
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Find the volume of the pyramid. Round to the nearest tenth if necessary. PLEASE HELP!!
Answer:
27.183, 27.2
Step-by-step explanation:
First, do the formula for the triangle:
[tex]\frac{1}{2}[/tex] x 4.1 x 2.6 = 5.33
Next, multiply that by the base side:
5.33 x 5.1 = 27.183
Answer:
1/2 x 4.1 x 2.6 = 5.33
5.33 x 5.1 = 27.183
Rounding off to nearest tenth = 27.2 m^3
quadratic formula. pls help
Answer:
[tex]x=-1,\frac{5}{7}[/tex]
Step-by-step explanation:
1) Split the second term in [tex]7{x}^{2}+2x-5[/tex] into two terms.
1 - Multiply the coefficient of the first term by the constant term.
[tex]7\times -5=-35[/tex]
2 - Ask: Which two numbers add up to 2 and multiply to -35?
7 and -5.
3 - Split 2x as the sum of 7x and -5x.
[tex]7x^2+7x-5x-5[/tex]
2) Factor out common terms in the first two terms, then in the last two terms.
[tex]7x(x+1)-5(x+1)=0[/tex]
3) Factor out the common term x+1.
[tex](x+1)(7x-5)=0[/tex]
4) Solve for x.
1 - Ask: When will (x+1)(7x-5) equal zero?
When x + 1 0 or 7x-5=0
2 - Solve each of the 2 equations above.
[tex]x=-1,\frac{5}{7}[/tex]
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{What are the quadratic formulas?}[/tex]
[tex]\bullet\rm{\ \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}}[/tex]
[tex]\bullet\rm{\ ax^2 + bx + c = 0}[/tex]
[tex]\huge\textbf{What are we solving for?}[/tex]
[tex]\rm{7x^2 + 2x - 5 = 0}[/tex]
[tex]\huge\textbf{What do we have to do?}[/tex]
[tex]\rm{7x^2 + 2x - 5 = 0}[/tex]
[tex]\huge\textbf{Factor the LEFT side of the given}\\\\\huge\textbf{equation:}[/tex]
[tex]\rm{(7x - 5)(x + 1) = 0}[/tex]
[tex]\rm{(7x - 5) \times (x + 1) = 0}[/tex]
[tex]\huge\textbf{Set 0 to the factors:}[/tex]
[tex]\rm{7x - 5 = 0\ or\ x + 1 = 0}[/tex]
[tex]\huge\textbf{Simplify it:}[/tex]
[tex]\rm{x = \dfrac{5}{7}\ or\ x = -1}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\frak{\mathsf x = \dfrac{5}{7}\ or\ \mathsf{x} = -1}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Based on the 2009 Kaiser Family Foundation survey, adding up the daily media use figures to obtain a report of weekly media use leads to the staggering number of more than _____ hours a week of media use by 11- to 14-year-olds.
The survey shows that adding up the daily media use figures to obtain a report of weekly media use leads to the staggering number of more than 60 hours a week of media use by 11- to 14-year-olds.
What is a survey?It should be noted that a survey simply means a list of questions that are used to get information about a group.
In this case, the daily media use figures to obtain a report of weekly media use leads to the staggering number of more than 60 hours a week of media use by 11- to 14-year-olds.
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f(x) is a function. O A. True 0 False 6 12 9 f(x) 3 4 7
Answer:Answer: true
Step-by-step explanation: f(x) is a function because each x value (left oval) has one y value (right oval)!
A four-person committee is chosen from a group of eight boys and six girls.
If students are chosen at random, what is the probability that the committee consists of all boys?
•
1001
•
15
1001
10
143
O
133
143
Answer:
The chance of the committee being all boys is 28.57% or 29%
N=
Help me please thanks :))
The measure of n of the sector with the given area is: 100°
What is the Area of a Sector?The area of a sector of a circle = ∅/360 × πr².
We are given that:
Area of the sector = 40π
Radius (r) = 12 units
∅ = n°
Plug in the values and solve for n
40π = n/360 × π(12²)
40π = n/360 × π144
Divide both sides by 144π
40π/144π = n/360 × 144π/144π
40/144 = n/360
40(360) = n(144)
14,400/144 = n
n = 100°
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f(x)=x^2-x-56=0 what are the zeros in the function?
please help!!!
Answer:
-7, 8.
Step-by-step explanation:
x^2 - x - 56 = 0
Let's see if we can factor this function:
We need 2 numbers whose product is -56 and whose sum is -1 ( which is the coefficient of x).
They are -8 and 7 , so the factors are:
(x - 8)(x + 7) = 0
x - 8 = 0 giving x = 8 and
x + 7 = 0 giving x = -7.
The zeros are -7, 8
Which graph is the sequence defined by the function f(x) = 3(2)x-1?
On a coordinate plane, 5 points are plotted. The points are (0, 2), (1, 6), (2, 18), (3, 54), (4, 162).
On a coordinate plane, 5 points are plotted. The points are (1, 2), (2, 6), (3, 18), (4, 54), (5, 162).
On a coordinate plane, 6 points are plotted. The points are (0, 3), (1, 6), (2, 12), (3, 24), (4, 48), (5, 96).
On a coordinate plane, 5 points are plotted. The points are (1, 3), (2, 6), (3, 12), (4, 24), (5, 48).
Answer: On a coordinate plane, 5 points are plotted. The points are (1, 3), (2, 6), (3, 12), (4, 24), (5, 48).
Step-by-step explanation:
When x=1, f(x)=3. So, it passes through (1,3).
So, everything is eliminated except for option (4).
Answer:
D!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
Suppose that E and F are two events and that P(E)=0.3 and P(F|E)=0.5. What is P(E and F)?
P(E and F)=
(Simplify your answer.)
E and F are two events and that P(E)=0.3 and P(F|E)=0.5. Thus, P(E and F)=0.15
Bayes' theorem is transforming preceding probabilities into succeeding probabilities. It is based on the principle of conditional probability. Conditional probability is the possibility that an event will occur because it is dependent on another event.
P(F|E)=P(E and F)÷P(E)
It is given that P(E)=0.3,P(F|E)=0.5
Using Bayes' formula,
P(F|E)=P(E and F)÷P(E)
Rearranging the formula,
⇒P(E and F)=P(F|E)×P(E)
Substituting the given values in the formula, we get
⇒P(E and F)=0.5×0.3
⇒P(E and F)=0.15
∴The correct answer is 0.15.
If, E and F are two events and that P(E)=0.3 and P(F|E)=0.5. Thus, P(E and F)=0.15.
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Put the following equation of a line into slope-intercept form, simplifying all
fractions.
8x +12y = -108
Answer:
y=-(2/3)x -9
Step-by-step explanation:
shuffle the equation so that y is alone in left hand side
The coefficient of x in the right hand side is the slope of line and the other term in right hand side is constant term
The slope-intercept form of the given equation will be y = -2x/3 - 9.
What is slope-intercept form?The meaning of slope-intercept form is the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.
Given an equation, 8x +12y = -108
Converting in slope-intercept form,
12y = -108 - 8x
y = -2x/3 - 9
Hence, the slope-intercept form of the given equation will be
y = -2x/3 - 9.
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if price of 12 eggs is rs 192 , how many eggs can be bought for rs 160
Answer:
10 eggs
Step-by-step explanation:
We need to work out the price per unit :
12 eggs = rs 192
1 egg = rs 192÷12
1 egg = rs 16
? egg = rs 160
16×? = 160
? = 160÷16
? = 10
So our final answer will be 10 eggs
Answer:
10
Step-by-step explanation:
10 points please help me I've been struggling with these
Answer:
57pi
Step-by-step explanation:
First, let's get the area of the entire circle, including the shaded region:
pi*(8+3)^2 = 121pi
Next, let's get the area of the unshaded circle
pi*8^2 = 64pi
If we subtract the inner circle from the full circle, we get the shaded region:
121pi-64pi =
57pi
Answer: 57π
Step-by-step explanation:
You have to calculate the area of the whole circle created by the sum of the inner circle and the ring, so 8+2=11=r, now use the formua for getting area of a circle, π*r², which is "121π"
After that, subtract the area of the inner circle (its area is π*8²)
So 121π-64π = 57π
Point W is located at (-5, -3).
Select all of the following that are 5 units from point W.
Choose all answers that apply:
A. (-5, 2)
B. (−8,−5)
C. (-5, 0)
The point that is 5 units from W is (A) (-5, 2)
How to determine the points?The point is given as:
W= (-5, -3)
A point 5 unit from W can be any of the following
W' = (-5 ± 5, -3)
W' = (-5, -3 ± 5)
When the above expressions are evaluated, we have:
W' = (0, -3), (-10, -3), (-5, 2) and (-5, -8)
Hence, the point that is 5 units from W is (A) (-5, 2)
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Oksana wrote the equation below on the whiteboard. 6 b 6 = 48 what is the value of b? 4 7 8 9
The correct answer is 7.
What is linear equation ?A linear equation only has one or two variables. In a linear equation, no variable can be multiplied by a value greater than one or used as the denominator of a fraction. When you find the values that collectively make a linear equation true and plot those values on a coordinate grid, all the points fall on the same line.
I am aware that this query's equation is,
6b + 6 = 48
subtract 6 from both side in the equation.
6b + 6 - 6 = 48- 6
6b = 42
now, divide by 6 from both side in the equation.
6b/6 = 42/6
b = 7.
Therefore, the correct answer is 7.
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I understand this is the question.
Oksana wrote the equation below on the whiteboard.
6 b + 6 = 48
What is the value of b?
(a)4
(b)7
(c)8
(d)9
pls HELP Which is the correct way to model the equation 5 x + 6 = 4 x + (negative 3) using algebra tiles?
5 positive x-tiles and 6 positive unit tiles on the left side; 4 positive x-tiles and 3 negative unit tiles on the right side
6 positive x-tiles and 5 positive unit tiles on the left side; 3 negative x-tiles and 4 positive unit tiles on the right side
5 positive x-tiles and 6 negative unit tiles on the left side; 4 positive x-tiles and 3 negative unit tiles on the right side
5 positive x-tiles and 6 positive unit tiles on the left side; 4 positive x-tiles and 3 positive unit tiles on the right side
Answer:
The first choice
Step-by-step explanation:
You are setting up as you read it. The left side has 5 x and 6 units, so you would set up 5 positive x times and 6 positive unit tiles. On the the right you are setting up 4 positive x tiles and 3 negative unit tiles. It is not asking you to solve with the algebra tiles, just to set it up.
11. (04.01 MC)
Choose the system of equations that matches the following graph: (1 point)
The linear functions that match the following graph are given by:
2x + y = 0.-5x + y = -7.What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.The system of equations in this problem is composed by two lines.
The decaying line goes though (-2,4) and (2,-4), hence the slope is given by:
m = (-4 - 4)/(2 - (-2)) = -2
Hence:
y = -2x + b
When x = -2, y = 4, hence we find b as follows:
4 = -2(-2) + b
b = 0.
Hence:
y = -2x -> 2x + y = 0.
The increasing line goes though (1,-2) and (2,3), hence the slope is given by:
m = (3 - (-2))/(2 - 1) = 5
Hence:
y = 5x + b
When x = 1, y = -2, hence we find b as follows:
-2 = 5 + b
b = -7.
Hence:
y = 5x - 7.
-5x + y = -7.
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A group of students consists of four people in all; two women and two men. They agree to take turns taking notes in lecture. One person at a time will be selected at random from the group (without replacement) until everyone has had a turn. The expected value of the number of people selected before and including the first time a woman has a turn is (Q17)______ .
The standard error of the number of people selected before and including the first time a woman has a turn is (Q18)______ .
The expected value of the number of people selected before and including the first time a woman has a turn is 1.6667 and the standard error is 0.7454.
How to illustrate the information?It should be noted that the expected value will be:
1[p(x = 1)] + 2[p(x = 2)] + 3[p(x = 3)]
= 1(0.5) + 2(0.3333) + 3(0.1667)
= 1.6667
Var(X) = E(X²) - E(X)2
= 3.3335 & (1.6667)²
= 0.555611
The standard error will be:
= ✓0.555611
= 0.7454
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The probability of picking an ace at random out of a
deck of 52 cards is What would be the probabil-
13
ity of picking an ace at random if 2 aces were
removed from the deck?
Answer:
2/50=1/25
Step-by-step explanation:
2 aces are removed hence 2 aces are left out of 50 cards
A civil engineer is mapping the overhead clearance of his family’s property on a coordinate grid. The ground is represented by the x-axis and the base of the house is at the origin. There are two trees on the property. One tree is 8 feet from the base of the house and is 16 feet tall. The other tree is 11 feet from the base of the house and is 9 feet tall. What is the distance from the base of the house to the closest treetop? Round your answer to the nearest tenth. Need answer ASAP.
The distance from the base of the tree to the tallest would be 14.21 cm
We have the following data points in this questionX1 = 8 feet
y1 = 16 feet
x2 = 11 feet
y2 = 9 feet
To proceed with the solution we have to
We have to solve for the shorter tree
[tex]\sqrt{(y2 -y1)^2 + (x2-x1)^2} \\\\= \sqrt{9-0^2 + 11-0^2}[/tex]
= 9² + 11²
= √81 +121
= 14.21
For the taller tree we would have√8² + 16²
= √64 +256
= 17.89
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I think of a number, subtract 5 and then multiply by 2. my answer is 80. what is my number?
Answer:
200
Step-by-step explanation:
Just do it in reverse and reverse "roles" multiplying Becomes Devidng and Devidng Becomes multiplying:
80/2=40, 40x5=200