a vial contains 150cc of penicillin. How many 5 cc injections can be administered from the vial.
Answers
Answer:
30
Step-by-step explanation:
150÷5=30
Related Questions
A bucket contains 72 red, 48 blue, 48 green, and 48 yellow crayons. The art teacher also has 120 pieces of drawing paper. What is the largest number of identical kits the art teacher can make with all of the crayons and all of the paper?
Answers
The art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper for proper distribution.
To determine the largest number of identical kits the art teacher can make using all the crayons and drawing paper, we need to find the greatest common divisor (GCD) of the quantities.
The GCD represents the largest number that can divide all the quantities without leaving a remainder.
The GCD of the quantities of crayons can be found by considering the prime factorization:
72 = 2³ × 3²
48 = 2⁴ × 3
48 = 2⁴ × 3
48 = 2⁴ × 3
The GCD of the crayons is 2³ × 3 , which is 24.
Now, we need to find the GCD of the quantity of drawing paper:
120 = 2³ × 3 × 5
The GCD of the drawing paper is also 2³ × 3 , which is 24.
Since the GCD of both the crayons and drawing paper is 24, the art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper.
Each kit would contain an equal distribution of crayons and drawing paper.
Learn more about distribution here:
brainly.com/question/30034780
#SPJ1
NO LINKS!! Each graph represents a relation. Determine the domain and range. 2ii
Answers
Answer:
7) Domain: (-∞, ∞)
Range: [-1, ∞)
8) Domain: (-∞, ∞)
Range: (-∞, ∞)
Step-by-step explanation:
Interval notation
( or ) : Use parentheses to indicate that the endpoint is excluded.
[ or ] : Use square brackets to indicate that the endpoint is included.
Domain & Range
The domain is the set of all possible input values (x-values).
The range is the set of all possible output values (y-values).
Question 5From inspection of the graph, the line is continuous.
The arrows either end of the line indicate that the line continues indefinitely in those directions.
Therefore, the domain of the relation is unrestricted: (-∞, ∞)
From inspection of the graph, the minimum y-value is y = -1.
The end behavior of the relation is:
\(y \rightarrow + \infty, \textsf{as } x \rightarrow - \infty\)
\(y \rightarrow + \infty, \textsf{as } x \rightarrow +\infty\)
Therefore, the range of the relation is restricted: [-1, ∞)
Question 6From inspection of the graph, the line is continuous.
The arrows either end of the line indicate that the line continues indefinitely in those directions.
Therefore, the domain of the relation is unrestricted: (-∞, ∞)
The end behavior of the function is:
\(y \rightarrow + \infty, \textsf{as } x \rightarrow - \infty\)
\(y \rightarrow -\infty, \textsf{as } x \rightarrow +\infty\)
Therefore, the domain of the relation is unrestricted: (-∞, ∞)
Fill in the missing numbers to complete the pattern: ___, 7.0 ,7.2 ,___ , 7.6, 7.8 what are the missing numbers
Answers
Answer:
6.8 7.0 7.2 7.4 7.6 7.8
Step-by-step explanation:
Answer:
1st blank: 6.8
2nd: 7.4
Step-by-step explanation:
thats the answer :)
is 2,107,954 even or odd
Answers
Answer:
Even
Step-by-step explanation:
Ends in 4
Answer:
even
Step-by-step explanation:
can be divided by 2
HELP PLEASEEEEEEE!!!!!
Answers
The similar shapes EFGH and JKLM have the measurement of angle Z equal to 65°, the length x = 27.5 and the length of y = 12
What are similar shapesSimilar shapes are two or more shapes that have the same shape, but different sizes. In other words, they have the same angles, but their sides are proportional to each other. When two shapes are similar, one can be obtained from the other by uniformly scaling (enlarging or reducing) the shape.
Given that the shape EFGH is a smaller shape of JKLM, and they are similar, then:
the measure of angle Z is equal to 65°
the side EF corresponds to JK and side FG corresponds to KL, so:
8/20 = 11/x
x = (11 × 20)/8 {cross multiplication}
x = 27.5
the side EF corresponds to JK and EH corresponds to JM, so:
8/20 = y/30
y = (30 × 8)/20 {cross multiplication}
y = 12
Therefore, the similar shapes EFGH and JKLM have the measurement of angle Z equal to 65°, the length x = 27.5 and the length of y = 12
Read more about similar shapes here: https://brainly.com/question/21823811
#SPJ1
Examine the diagram, where the secant segment AP intersects the circle at points A and B, and the secant segment CP intersects the circle at points C and D. The lines intersect outside the circle at point P.
A circle, with no center shown, as described in the text. Segment A B equals 5, segment B P equals 7, and segment C P equals 14.
What is the length of PD¯¯¯¯¯¯¯¯?
Enter the correct value.
Answers
Answer: 6
Step-by-step explanation: I just got it correct.
Applying the intersecting secants theorem, the length of PD is: 6.
What is the Intersecting Secants Theorem?The intersecting secants theorem states that if two secants intersect at a point outside a circle, then the product of the external secant secgent and the secant segment equals that of the other.
Given the following:
AB = 5BP = 7CP = 14PD = ?Based on the intersecting secants theorem, we would have:
AP × BP = CP × PD
Substitute
12 × 7 = 14 × PD
84 = 14(PD)
84/14 = PD
6 = PD
PD = 6
Therefore, applying the intersecting secants theorem, the length of PD is: 6.
Learn more about the intersecting secants theorem on:
https://brainly.com/question/15392507
f(x) is a quadratic polynomial, with roots represented by, α and β, where the both the sum and product of the roots are equal. For what real value of α or β, will f(x) always be undefined?
Answers
Step-by-step explanation:
a+b=ab
a=b/(b-1)
b=a/(a-1)
to make a number undefined make the denominator equal to zero. so just make b-1=0 and a-1=0 so to make the polynomial f(x) undefined, b has to be 1 and a needs to be 1.
Hope this helps :)
Which of the h values are solutions to the following equation?
h^2=0.36
Choose all answers that apply:
A: h= square root of 0.6
B: h = square root of -0.6
C: h = 0.18
D:h = -0.18
E: None of the above
Answers
Answer:
a:h=square root of 0.6
Step-by-step explanation:
thank you for your time today
Answer:
none of the above
Step-by-step explanation:
KHAN
If WX = x + 5 and XY = 3x - 13, then what is the value of x?
Answers
Answer:
\(x = 9\)
Step-by-step explanation:
Given
\(WX = x + 5\)
\(XY = 3x - 13,\)
Required
Find x
To do this, I will assume \(WX = XY\).
So, we have:
\(x + 5 = 3x - 13\)
Collect Like Terms
\(x - 3x = -5 - 13\)
\(-2x = -18\)
Divide by -2
\(x = 9\)
Evaluating Linear Piecewise Functions
Consider the function:
f(x) =
7/2+ 2x, x≤-1
-5+3x/2, -1
1/4x, x≥3
< -5_-4_-3_-2_-1_0_1_2_3_4_5 >
What are these values?
f(-3) =[-19/2]ᵒʳ[-5/2]ᵒʳ[-3/4]ᵒʳ[5/2]
f(-1) =[-13/2]ᵒʳ[-3/2]ᵒʳ[-1/4]ᵒʳ[-3/2]
f(3) =[-7/4]ᵒʳ[-1/2]ᵒʳ[3/4]ᵒʳ[19/2]
PLEASE HELP ME ON A SERIOUS TIME CRUNCH!!
Answers
-3≤-1, so we must use the 7/2+2x function.
Insert x into the function that has a true domain statement:
f(-3)=7/2+2(-3)
Evaluate:
f(-3)=7/2-6
Obtain a common denominator to subtract fractions:
f(-3)=7/2-(6•2/1•2)
Remember, -6 is equivalent to -6/1, so we multiply the numerator and denominator by 2 to get a common denominator.
Simplify:
f(-3)=7/2-12/2
Subtract the numerators only; denominators stay as 2:
f(-3)=(7-12)/2
Answer: f(-3)=-5/2
—————————————————————
f(-1)
-1≤-1, so we must use the 7/2+2x function again. We must always check x in all domain piecewise cases.
Let’s evaluate f(-1):
f(-1)=7/2+2(-1)
f(-1)=7/2-2
Obtain a common denominator; -2=-2/1:
f(-1)=7/2-(2•2/1•2)
f(-1)=7/2-4/2
f(-1)=(7-4)/2
Answer: f(-1)=3/2
—————————————————————
f(3)
Let’s check all domain cases. We see the only true statement is: 3≥3, so we must use the 1/4x function.
f(3)=1/4(3)
Answer: f(3)=3/4
Hope this helps! Please give Brainliest
Statesville's population in 2010 was about 24,500, and was growing by about 1% each year. If this continues, what will Statesville's population be in 2016?
Answers
Answer:
26,003 people in 2016
Step-by-step explanation:
If the population is growing by one percent each year, you take the 2010 population and divide by 100 (which is 1%) and add it with the population. That is 2011 population. Take this population, divide it by 100, and add to 2011 population. Do this 4 more times and 26,003 is your answer.
Jesse has a $30 gift card to a sandwich shop. Regular sandwiches cost $4, and large sandwiches cost $6. Let x represent the number of regular sandwiches Jesse buys and y represent the number of large sandwiches he buys. Suppose Jesse buys 1 regular sandwich and 2 large sandwiches with the gift card. How many more of each size sandwich do you think Jesse should buy
Answers
Answer:
2x + y
Step-by-step explanation:
jesse uses a total of 16 dollars, and has 14 dollars remaining. if you're talking about the best deal, that would be 1y + 2x
If Jesse buys 1 regular sandwich and 2 large sandwiches with the gift card with $30 gift card. She is left with $14 from which she can buy 1 large sandwich and 2 Regular sandwiches
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
Jesse has a $30 gift card to a sandwich shop.
The cost of Regular sandwiche is $4
The cost of large sandwiche is $6
Let x represent the number of regular sandwiches Jesse buys and y represent the number of large sandwiches he buys.
Suppose Jesse buys 1 regular sandwich and 2 large sandwiches with the gift card.
x+2y
(4)+2(6)=4+12=16
jesse uses a total of 16 dollars
She left with 14 dollars.
She can take 1 large sandwich and 2 Regular sandwiches
2x + y
Hence Jesse can buy more of 1 large sandwich and 2 Regular sandwiches
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
Find f(x) and g(x) so that the
function given can be described
as y = f(g(x)).
y = e^sin x
Answers
Answer:
g(x) = sin(x)
f(x) = e^x
Step-by-step explanation:
Answer:
Step-by-step explanation:
\(f(x)=e^x\\g(x)=sin~x\\y=f(g(x))=f(sin~x)=e^{sin~x}\)
Quinn bought a bouquet of flowers as a surprise for her grandfather. She had expected it would cost $15 but her prediction was 50% more than the actual cost of the flowers. What was the actual cost of the flowers?
Answers
To find 50% of 15, you multiply. 15*50% equals 7.5.
The point (3,b) lies on the circle with radius 8 and center (−2,−1). What are the possible values of b
Answers
The point (3,b) can lie on the circle with radius 8 and center (-2,-1) for values of b equal to -1 + √39 and -1 - √39.
We know that the circle with radius 8 and center (-2,-1) has the equation:
(x + 2)² + (y + 1)² = 8²
Substituting x = 3 and y = b, we get:
(3 + 2)² + (b + 1)² = 8²
Simplifying, we get:
25 + (b + 1)² = 64
(b + 1)² = 39
Taking the square root of both sides, we get:
b + 1 = ± √39
Therefore, the possible values of b are:
b = -1 ± √39
To learn more about circle click on,
https://brainly.com/question/27138240
#SPJ1
A TPN solution contains 8.25 % amino acids it. If the patient needs 75 grams of protein per day, how much of the TPN solution should the patient receive per day?
Answers
The patient should receive 909 mL of the TPN solution per day.
To determine the amount of the TPN solution the patient should receive per day, we need to use the following formula:
amount of TPN solution = (grams of protein needed / percentage of amino acids in TPN solution) × 100
In this case, we are given that the TPN solution contains 8.25% amino acids and that the patient needs 75 grams of protein per day. Substituting these values into the formula, we get:
amount of TPN solution = (75 / 8.25) × 100
amount of TPN solution = 9.09 × 100
amount of TPN solution = 909 mL
Therefore, the patient should receive 909 mL of the TPN solution per day.
Learn more about the percentages here:
brainly.com/question/24159063
#SPJ1
40 POINTS In a region where 48% of the population is male, there are 11 boys and 14 girls in a sample of children. Find p and ρˆ (p-hat).
p =
ρˆ (p-hat) =
Answers
The values of p and ρˆ (p-hat) in the sample are
p = 0.48 and ρˆ (p-hat) = 0.44
How to determine the values of p and ρˆ (p-hat)?From the question, we have the following parameters that can be used in our computation:
Proportion of male = 48%
Boys = 11
Girls = 14
The proportion of male represents the variable p
So, we have
p = Proportion of male = 48%
This gives
p = 48%
Express as decimal
p = 0.48
The variable ρˆ (p-hat) is then calculated as
ρˆ = x/n
In this case,
x = Boys = 11
n = Boys + Girls = 11 + 14 = 25
So, we have
ρˆ = 11/25
Evaluate
ρˆ = 0.44
Hence, the values are 0.48 and 0.44, respectively
Read more about p values at
https://brainly.com/question/4621112
#SPJ1
PLEASE HELP I DON'T UNDERSTAND THE QUESTION. THANK YOU :)
Answers
ABC and DEC are similar, since the line segments AB and DE are parallel.
This means corresponding sides of these triangles occur in a fixed ratio with one another.
In particular, this tells us
DE/AB = DC/AC
or
7/11 = 15/(15 + x)
Solve for x:
11/7 = (15 + x)/15
11/7 = 1 + x/15
4/7 = x/15
x = 60/7
Find the value of X.
Answers
Answer:
Step-by-step explanation:
2x×1=(√3)²
2x=3
x=3/2
A survey of 1,039 tourists visiting Orlando was taken. Of those surveyed:282 tourists had visited the Magic Kingdom300 tourists had visited Universal Studios57 tourists had visited both the Magic Kingdom and LEGOLAND95 tourists had visited both the Magic Kingdom and Universal Studios90 tourists had visited both LEGOLAND and Universal Studios47 tourists had visited all three theme parks82 tourists did not visit any of these theme parksHow many tourists only visited the LEGOLAND (of these three)?
Answers
We would draw a venn diagram for this scenario. On the diagram,
M represents the set that visited the Magic Kingdom
U represents the set that visited the Universal Studios
L represents the set that visited LEGOLAND
The diagram is shown below
Given that the total number of tourists is 1039, it means that
282 - (48 + 47 + 10) + 300 - (48 + 47 + 43) + L - (10 + 47 + 43) + 48 + 47 + 10 + 43 + 82 = 1039
180 + 162 + L - 100 + 148 + 82 = 1039
L + 472 = 1039
L = 1039 - 472
L = 567
Thus, the number of tourists that visited only LEGOLAND is
567 - 100
= 467
44 lbs of onions cost $264. How many lbs of onions can you get with $156 ?
Answers
Which is a factor of 10?
OA. 40
B. 10
C. 30
D. 20
Answers
Answer: B. 10
Explanation: Any number is a factor of itself.
We can rule out choices A, C and D because those values are larger than 10. They are multiples of 10, but not factors of 10.
Graph y = 2/3x
Where do i put the dots
Answers
Answer:
On (3,7) and (-2,7)
Step-by-step explanation:
How do I do number 1??
Help me it’s due tomorrow!!!
Answers
The values of x and y are 20 and 12.
The values of x and y are -3 and 2.
We have,
In a parallelogram,
- Opposite sides are congruent:
The opposite sides of a parallelogram have equal lengths.
- Opposite angles are congruent:
The opposite angles of a parallelogram have equal
Now,
a)
Opposite angles are congruent:
So,
5x + 29 = 7x - 11
29 + 11 = 7x - 5x
40 = 2x
2x = 40
x = 40/2
x = 20
And,
3y + 15 = 5y - 9
15 + 9 = 5y - 3y
24 = 2y
y = 24/2
y = 12
b)
Opposite sides are congruent:
So,
-6x = -4x + 6
-6x + 4x = 6
-2x = 6
x = -3
And,
7y + 3 = 12y - 7
12y - 7y = 3 + 7
5y = 10
y = 2
Thus,
The values of x and y are 20 and 12.
The values of x and y are -3 and 2.
Learn more about parallelograms here:
https://brainly.com/question/1563728
#SPJ1
Urgent please help! The high temperature in Garland dropped 3 degrees each day for five days straight. Which expression could NOT be used to find the total temperature change over the five days?
Answers
Answer:
First, see what is the temperature is on the first day before it dropped now on the fifth day see how much it drop from the first day to the last day hope this helped.
Step-by-step explanation:
Answer:
bababaqiooooooo
Step-by-step explanation:
i need help on this too
Which graph represents the compound inequality?
h ≥ –5 and h < 2
Answers
Both h ≥ –5 and h < 2 represent the area more than or equal to negative 5 and less than 2.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality equation is given below.
h ≥ –5 and h < 2
Then h ≥ –5 represents the area more than or equal to negative 5.
And h < 2 represents the area less than 2.
Then both h ≥ –5 and h < 2 represent the area more than or equal to negative 5 and less than 2.
The graph is given below.
More about the inequality link is given below.
https://brainly.com/question/19491153
#SPJ1
Answer:
THe Answer is A
Step-by-step explanation:
write the slope-intercept form of the equation with the point -3,3 and a slope of -3/4
Answers
Answer:
- \(\frac{1}{0}\)
Step-by-step explanation:
10. The total cost of shipping toys from a specific company is $5 plus $2.50 times the number of toys purchased
Answers
Answer:y=2.50x+5
Step-by-step explanation:
y=2.50x+5
that's all i can do with the information provided
Please help me solve this.
Answers
\(\boxed{A}\\\\ U=5(2n+22)+2\left( n+\cfrac{3}{2} \right) \\\\\\ U=10n+110+2n+3 \implies U=12n+113 \\\\[-0.35em] ~\dotfill\\\\ \boxed{B}\hspace{5em}\textit{in 2009, that's 9 years after 2000, n = 9}\\\\ U(9)=12(9)+113\implies U(9)=221 ~~ millions\)
If anyone can help me I’d appreciate it, geometry is messing me up a bit
Answers
Answer:
A) It is right
Step-by-step explanation:
∠A=∠C, because a 180° line (straight line) meats at a certain point reaching the edge, which then means that the angles of 'A' and 'C' have to be the same.
So ∠A= 45°, and ∠C= 45°.
45+45= 90
A triangle's angles add to 180°.
180-90=90
∴∠B=90°, making it a right-angled triangle.