Answer:
10
Step-by-step explanation:
Distance formula:
d = √(x₂-x₁)²+(y₂-y₁)²
A (1,2) D (4,3)
d = √(4-1)²+(3-2)² = 3.16227766
All 4 sides of a square are equal lengths.
The equation for the area of a square:
A = a²
A = (3.16227766)² = 10
f the recommended adult dosage for a drug is d (in mg), then to determine the appropriate dosage c for a child of age a, pharmacists use the equation c = 0.0417d(a + 1). suppose the dosage for an adult is 100 mg. (a)
The slope of graph is 4.17 (a+1). It represents the annual rise in dose a.
Who are pharmacists ?Excellent understanding of medications, their mechanisms of action, side effects, interactions, mobility, and toxicity are prerequisites for practicing pharmacy. Thus, pharmacists are the key healthcare professionals who maximize the use of medicine for the benefit of patients. They are also the world's foremost authorities on drug therapy.
The pharmacist use equation C= 0.0417 d (a+1)
Applying in (mg)
So d = 100 mg
Therefore c = 0.0417×100 (a+1)
C= 4.17 (a+1)
4.17 (a+1) is the slope for the graph of c, which reflects the annual rise in dose a.
kid requires. Given that a newborn is age 0, the appropriate dosage is
c(0) = 4.17 (a+1)
Complete question is -If the recommended adult dosage for a drug is D (in mg), then to determine the appropriate dosage c for a child of age a, pharmacists use the equation c = 0.0417D(a + 1). Suppose the dosage for an adult is 200 mg.
(a) Find the slope of the graph of c. What does it represent?
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Please help leve 8th grade math!
The required solutions are,
1) point A on the triangle is the center of dilation.
2) Triangle ABC is the original triangle.
The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
Here,
1) As shown in the figure, after dilation the only initial point that does not change points A. So it could be concluded that point A is the center of dilation.
2) since the scale factor is of 1/2 implies that the dilated figure is lower than the size of the original figure hence, triangle ABC is the original triangle.
Thus, the required solutions are,
1) point A on the triangle is the center of dilation.
2) Triangle ABC is the original triangle.
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each of the following statements can be recast in the if-then form. please rewrite each of the following sentences in the form "if a, then b." a. the product of an odd integer and an even integer is even. b. the square of an odd integer is odd. c. the square of a prime number is not prime. d. the product of two negative integers is negative. (this, of course, is false.) e. the diagonals of a rhombus are perpendicular
According to the given statements:
a. If the integers x and y are, respectively, even and odd, then xy is even.
b. When x is odd, x2 is also odd.
c. If p is a prime number, p2 is not a prime number.
d. If the integers a and b are negative, then ab is also a negative number.
e. If AC and BD are diagonally arranged in a rhombus, then AC is perpendicular to BD.
What is number system in math's?A numeral system, also known as a mathematical notation, is a way of writing numbers that uses digits or even other symbols to represent the numbers in a given set in a standardized way. The same set of symbols can represent various numbers in various numeral systems.
According to the given statement:A. if a, then b the product of an odd integer and an even integer is even.
If the integers x and y are, respectively, even and odd, then xy is even.
B. if a, then b the square of an odd integer is odd.
When x is odd, x2 is also odd.
C. if a, then b the square of a prime number is not prime.
If p is a prime number, p2 is not a prime number.
D. the product of two negative integers is negative. (this, of course, is false.)
If the integers a and b are negative, then ab is also a negative number.
E. the diagonals of a rhombus are perpendicular.
If AC and BD are diagonally arranged in a rhombus, then AC is perpendicular to BD.
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I understand that the question you are looking for is:
Each of the following statements can be recast in the if-then form. please rewrite each of the following sentences in the form "if a, then b."
a. the product of an odd integer and an even integer is even.
b. the square of an odd integer is odd.
c. the square of a prime number is not prime.
d. the product of two negative integers is negative. (this, of course, is false.)
e. the diagonals of a rhombus are perpendicular
how many different 7-plate license plates are possible if the first 2 places are for letters and the other 5 are for numbers?
If the first two spaces are for letters and the remaining five are for numbers, then 67,600,000 distinct seven-plate license plates are possible.
What is permutation and combination?Putting things or numbers in order is known as a permutation. Combinations are a way to choose items or numbers from a collection of items or groups of items without regard to their order.
What function do combination and permutation learning serve?We can count the number of ways an item set can be rearranged using permutations. When counting combinations, we look at how many options we have from a larger pool of available items. Important statistical concepts include combinations and permutations.
According to the given information:We know that :
It consists of 10 digits and 26 letters.
Due to the repetition of letters and numbers. Since the first two positions are letters, first can be filled in.
26 * 26 = 676 ways.
Five more spots may then be filled.
10 * 10 * 10 * 10 * 10 = 100000ways
If the first two spaces are really for letters and the remaining five spaces are for numbers, then there are a variety of 7-place license plates that can be made.
26 * 26 * 10 * 10 * 10 * 10 * 10 = 67,600,000ways.
If the first two spaces are for letters and the remaining five are for numbers, then 67,600,000 distinct seven-plate license plates are possible.
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What percent of 61 is 70?
Answer:
42.7
Step-by-step explanation:
What percent of 61 is 70?
61 --> Base number
0.7 --> Percent
61 x 0.7 = 42.7
Answer:
61/70 as a percentage is 87.1429%
Step-by-step explanation:
a study of a very large number of pregnant women in arkansas reports that the women gained, on average, 14 pounds during their pregnancy and that 18% of the women smoked. the two variables in this study are
The two dependent variables will be:
1. The women who gained weight during the pregnancy.
2. The women who smoked during the pregnancy.
We are given that a study of a very large number of pregnant women in Arkansas reports that the women gained, on average, 14 pounds during their pregnancy and that 18% of the women smoked.
Now, we need to tell the two variables of the study.
Now, we can see that the independent variable is pregnant women.
Also, the two dependent variables will be:
1. The women who gained weight during the pregnancy.
2. The women who smoked during the pregnancy.
Therefore, the two dependent variables will be:
1. The women who gained weight during the pregnancy.
2. The women who smoked during the pregnancy.
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6 x (8.7 1.05) =
2 decimales
Answer:
0.522
0.063
Step-by-step explanation:
6 x 8.7 = 52.2
6 x 1.05 = 6.3
If we move them both two decimal places then...
0.522
0.063
Kenny can swim 11/15 mile in 1/3 hour what is his average swimming speed In miles per hour
Answer: 2.2 miles per hour
Step-by-step explanation:
Since we are given his speed in one third of an hour, we can simply triple his speed to get his miles per hour.
[tex]\frac{11}{15} * 3\\= \frac{33}{15}\\\\= 2 \frac{1}{5}[/tex]
or, 2.2 miles per hour
Answer:
2.2mph!
Step-by-step explanation:
A road repair crew spread 13 1/4 tons of gravel evenly over 4.5 feet of road. How many tons of
gravel did they spread on each foot of road?
If a road repair crew spread 13 1/4 tons of gravel evenly over 4.5 feet of road then 2.39 tons of gravel is spread by them on each foot of road.
This is solved by using unitary method
4.5 feet of road is getting covered by 13 1/4 tons of gravel
Then 1 foot of road will be covered by (13 1/4) /4.5 tons of gravel
= (43/4) / 4.5 tons of gravel
= 2.388 tons of gravel
2.39 tons of gravel is required to cover 1 foot
If a road repair crew spread 13 1/4 tons of gravel evenly over 4.5 feet of road then it requires 2.39 tons of gravel is spread by them on each foot of road.
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Use the provided ruler to measure the length of the segment. What is the length of the segment to the nearest tenth of a centimeter?
The length of the segment is {Blank} centimeters.
The length of the segment to the nearest tenth of a centimeter is 105.0 cm
What is the length of the segment to the nearest tenth of a centimeter?The given parameter is the line segment
When the line segment is measured by a meter rule, we have the length to be
Length = 105 cm
When approximated to the nearest tenth, we have:
Length = 105.0 cm
Hence, the length of the segment to the nearest tenth of a centimeter is 105.0 cm
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write the product in its simplest form -7c^7*(-4c^6)
The simplest form of product is, 28c¹³.
⇒ -7c⁷ * (-4c⁶) = 28 c¹³
The given expression can be simplified as;
The given product is;
-7c⁷ * (-4c⁶)
We have to simplify the given product.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Now, The given expression can be simplified as;
The product is given as;
-7c⁷ * (-4c⁶)
We can simplify by the rule of exponent as;
-7c⁷ * (-4c⁶)
= 28 c⁷⁺⁶
= 28 c¹³
So, -7c⁷ * (-4c⁶) = 28 c¹³
Hence, The simplest form of product is find as 28c¹³.
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The rectangle ABCD is dilated about the origin to obtain the rectangle A'B'C'D'. If the length of A'B' = 12 units, what is the length of B'C' ?
the price of guitars from universal guitar company increased by 60% when business expanded. if a guitar cost $90 before the expansion, how much should it cost after the expansion?
The cost of the guitar after expansion will be $144.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
The price of guitars from universal guitar company increased by 60% when the business expanded. If a guitar cost $90 before the expansion.
Then the cost of the guitar after expansion will be
Cost = (1 + 0.60) x $90
Cost = 1.60 x $90
Cost = $144
The cost of the guitar after expansion will be $144.
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kayke mixes 1/6 pound of salt with 1/8 bucket of water to make a saline solution. how much salt does she need for a full bucket of water?
She will need 1.34 pounds of salt for a full of bucket of water.
It is given that, Kayke mixes 1/6 pound of salt with 1/8 bucket of water to make a saline solution.
With 1/8 bucket of water she mixes 1/6 pound of salt.
1/8 bucket of water = 1/6 pounds of salt
Now, using unitary method to find salt needed to use for a full bucket of water.
So,
1 bucket of water = 8/6 pounds of salt
= 1.34 pounds of salt.
She will need 1.34 pounds of salt for a full of bucket of water.
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The points G and H, 19m apart are on the same side of a tree. The angles of elevation of the top T, of the tree from G and H on the horizontal ground with the foot of the tree are 430 and 38° respectively. (1). Illustrate the information in a diagram. (i). Find, correct to one decimal place, the height of the tree.
Using relations in a right triangle, we have that the height of the tree is of 91.6 meters.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.The graph for this problem is given at the end of the answer, and using it and the relations, we can build two equations involving x and the height h, and solve the system of equations for h.
From the triangle involving point G(angle of 43º), we can build the following relation:
tan(43º) = h/x
0.9325 = h/x
x = (1/0.9325)h.
x = 1.0724h (because we want to find h, hence we write x as a function of h).
From the larger triangle, that has the angle of 38º, we have the following relation.
tan(38º) = h/(x + 19).
tan(38º) = h/(1.0724h + 19). (considering that x is a function of h, as we found above).
0.7813 = h/(1.0724h + 19).
Hence, we apply cross multiplication to solve for h, as follows:
h = 0.7813(1.0724h + 19).
h = 0.8379h + 14.8447.
0.1621h = 14.8447
h = 14.8447/0.1621
h = 91.6 meters.
Hence:
The height of the tree is of 91.6 meters.
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A rectangular section of a field is to be fenced. Because one side of the field is bordered by a creek, only 3 sides need to be fenced. The fenced section should have an area of 60 m². Determine the minimum perimeter and dimensions of the fenced area.
The minimum perimeter is 23.24m and dimensions of the fenced area is 15.5m x 3.8m.
Let us assume the length of the fenced area to be L and breadth of the fenced area to be W. As we know, only three sides are to be fenced,
So, the perimeter P of the fenced would be,
P = L + 2W
Also, it is given that, area of the fence is 60m²,
So, the are should be,
60m² = LW
60m²/L = W
Now, to minimize the perimeter,
P = L + 2W
P = L + 120/L
Differentiating both sides with respect to "L",
d(p)/dL = 1 - 240/L²
To find the value of "L", putting dp/dL equal to 0,
d(P)/dL = 0
1 - 240/L² = 0
L = √240m
Now, from the first derivative test, we know that, the perimeter will be maximum or minimum if value of L>√240 or L<√240 respectively,
For minimum, L should be,
L = √240m
L = 15.5m
Now we know from area,
area = LW
60 = 15.5 x W
W = 60/15.5
W = 3.8m
Hence, the minimum perimeter will be,
L + 2W = 23.24m
The dimensions are,
L = 15.5m
W = 3.8m
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Using divisibility tests determine whether 4186650 is divisible by 6,by 8, by 11
(pls answer this)
Answer:
The Answer is only 6Step-by-step explanation:
To check for 6 - Number should be Divisible by 2 and 3
4186650 is divisible by 2 % 3
To check for 8 - Las Three digits should be taken as a number and be checked if its divisible my 8
4186650 / 4 = 165.5
So the number is not divisible by 8
To check for 11 - we need to add the odd places and the even places and then subtract them both. if the answer is 11 or 0 then its divisible
4 + 8 + 6 + 0 = 19
1 + 6 + 5 = 12
19 - 12 = 7
So the number is not divisible by 11
Hope you are clear
Pls mark BrainliestCan someone give an explanation on how to solve?
this picture is not clear
that traingle
Please solve this pleaseeeed
Answer:
multiply input number by 2
Step-by-step explanation:
So, this is our function
y=2x===>
(3, 6), (4, 8), (5, 10), (6, 12), (7, 14)
so according to this functionality the output part is equal to input part multiplied by 2
Which of the following sentences is true?
O 29.6> 29.65
O 7.602> 7.612
O 17.25 17.252
O21.51 < 21.49
pls tell me answer Im in advanced class having a hard time with this ?
Answer: last one
Step-by-step explanation:
2.2 more than the quotient of h and 6 is w
Answer:
2+x/6=w
step by step
x/62+ step 1taking the equality of sum of steps 1 &2 by w59265 divided by the 8th power x 596 x 427
59265 divided by a number raised to the 8th power × 596 × 427 is presented as follows;
[tex]15082468380 \times {x}^{ - 8} [/tex]
How can the given expression be simplified?The given number to be divided is 59265
Let x represent the number that is raised to the 8th power, we have;
The number by which 59265 is divided = x⁸
The number by which the result is multiplied = 596 × 427
Therefore, we have;
[tex] \frac{59265}{x^8} \times 596 \times 427 = \frac{59265}{ {x}^{8} } \times 254492 [/tex]
The above expression can be expressed using the rules of indices as follows;
[tex]\frac{59265 \times 254492}{ {x}^{8} } =15082468380 \times {x}^{ - 8} [/tex]
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The graph of a quadratic function touches, but does not cross, the x-axis at x = 4. Which function represents this
situation?
Oy=x²-16
Oy=x²-4x
Oy=x²-8x+16
O y=x² + 8x + 16
Correct answer is C. y = x2 - 8x + 16 is the quadratic equation.
How do you figure out the equation?The answer to the question is:
x = 4
The graph has a multiplicity of 2 at x = 4 since it only touches this value and does not cross it.
The equation is then shown as follows:
y = (x - 4)^2
Expand
y = x^2 - 8x + 16
The quadratic equation is y = x2 - 8x + 16 as a result.
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a subway car passes 4 stations every 10 minutes. at this rate, how many stations will it pass in 2 hours?
The subway car passes through 48 stations in 2hours
It is given that a subway car passes 4 stations every 10 mins.
Subway car is being referred to the metro system of New York city
It is known to us that an hour has 60 mins
We are given that subway car passes 4 stations every 10 mins
Therefore number of stations passed by subway car in 1 hour
= 60/10 x 4 = 24 stations
We are required to find the number of stations crossed by subway car in 2 hours
Therefore, number of stations crossed by subway car in 2 hours= 24 x 2
= 48 stations
Therefore, the subway car passes 48 stations in 2 hours
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A=√15.5(15.5-14) (15.5-11) (15.5-6)
The value of A is 31.5.
The square root of any number is the factor that we can be multiplied by itself to get that given number. The symbol for square root is √.
Here, we are given an equation as follows-
A=√[15.5(15.5-14) (15.5-11) (15.5-6)]
Let us simplify it step by step. Firstly, we will perform the operations inside the brackets as follows-
A = √[15.5(1.5) (4.5) (9.5)]
Now, multiplying the terms we get-
A = √[15.5(1.5) (4.5) (9.5)]
A = √[(23.25) (42.75)]
A = √[(993.9375)]
Now, we calculate the square root of the number obtained above-
A = 31.5
Thus, the value of A in the equation A=√15.5(15.5-14) (15.5-11) (15.5-6) comes out to be 31.5.
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a stack of one dozen cookies of diameter of 5in. exactly fits in a cylindrical container of volume 176.715in^3. Which is the length of each cookie?
Answer:
Step-by-step explanation:
Discussion
Note: I think the length is supposed to be the height of 1 cookie.
The volume of the 12 cookies (1 dozen=12) is 176,715 in^3
The area of 1 cookie is 5 in
Area = pi * r^2
Area of one cookie = 3.14 * 5^2
Area of one cookie = 78.5 in ^2 Note this is also the area of the base of the container.
Height of the 12 cookies = Volume / Area of one cookie
Height of the 12 cookies = 176.715/78,5
Height of the 12 cookies = 2.25 inches.
Answer
Thickness (height) of one cookie = 2.25/12
Thickness (height) of one cookie = .188 inches.
What is the mean of numbers 3,6,9,12,15,18
Answer: 10.5
Step-by-step explanation:
The mean is all of the numbers in a system added together then divided by the amount of numbers in a system.
3 + 6 + 9 + 12 + 15 + 18 = 63
63 / 6 = 10.5
The number of gallos of water used to water trees i'd 30 times the number of trees
y = 30x
Calculate the number of gallos of water used to water trees i'd 30 times the number of trees.
Let's take,
Number of gallons = y
Number of trees = x
Then, according to the problem,
Number of gallons = 30*(Number of trees)
So….. y = 30*x
y = 30x
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Need help with geometry homework.
The measure m<D is 26
What is angle sum property?Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.
Given:
m<ABE = 52
<EBD = <CBD
Now,
<ABE + <EBD + <DBC = 180 (linear pair)
52 + 2<EBD = 180
2<EBD = 128
<EBD = 128/2
<EBD = 64
Now, In ΔDEB using angle sum property
<DEB + <EDB + <DBE = 180
90+ <EDB + 64=180
<EDB = 26
Hence, the measure of <D is 26 degree.
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