Answer:
1; -11+ 26 =15
2: 2- (-3) =5
3: 10+ (-4) = 7
4: 11 + -8 =3
5: -2 + 3 =1
6: 8 - 12 = -4
Step-by-step explanation:
!
Researchers at a veterinary hospital wish to test a new drug developed for treating degenerative joint disease (DJD) in dogs. A group of 30 Great Danes, 50 Labradors, and 40 Mastiffs is to be used. The researchers randomly assign 15 of the Great Danes, 25 of the Labradors, and 20 of the Mastiffs to the traditional drug for treatment. The remaining dogs are assigned to the new drug. The major reason for separate assignment for each breed of dog is that
A) This is a large study with 120 dogs.
B) This design uses matched pairs to detect the new-drug effect.
C) The new drug may affect Great Danes, Labradors, and Mastiffs differently.
D) The new drug may affect dogs with DJD differently than dogs without DJD.
E) There must be an equal number of dogs in each of the two treatment groups.
Answer:
Testing a new drug developed for treating degenerative joint disease (DJD) in dogs
The major reason for separate assignment for each breed of dog is that:
E) There must be an equal number of dogs in each of the two treatment groups.
Step-by-step explanation:
One of the two groups is the experimental group (treatment group). It receives the new treatment whose effect the researchers are interested in finding out. The other half (group) is called the control group. It receives the traditional drug. This control group (also called the comparison group) ensures that the treatment the researchers are giving to the dogs causes the expected experimental results. This means that the results of the two groups are compared to determine the different effects.
Take a rectangular sheet of paper. Fold it in any way and then unfold it. Draw a line on the crease using a ruler and pencil. Repeat this process 7 more times. Mark the points of intersection as A, B, C, D and so on. Identify polygons and identify whether they are convex or concave.
The polygon formed was convex polygon.
What is a Concave and Convex Polygon ?A polygon that has at least one interior angle greater than 180 degree is called concave polygon . It usually has an irregular shape.
A convex polygon has all angles less than 180 degree.
It is given to follow some steps
1. A rectangular sheet of paper is taken .
2. It if folded and unfolded in random directions
3. Lines are drawn on the creases
4. The intersection points are marked A,B,C,D,E,F,G
5. The figure formed is a convex polygon as all the angles measure were less than 180 degree.
Therefore the polygon formed was convex polygon.
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Find the width and area based on the length being 11 and the perimeter being 34
the width is 6 units
Area: 66 square units
Explanation
Step 1
the perimeter of a rectangle is given by.
\(P=2(l+w)\)where w is the width and l is the length
then
Let
length= 11
width= unknonwn= w
perimeter= 34
replace in the formula and solve for w
\(\begin{gathered} P=2(l+w) \\ \text{break the parenthesis} \\ P=2l+2w \\ \text{replace} \\ 34=2(11)+2w \\ 34=22+2w \\ \text{subtract 22 in both sides} \\ 34-22=22+2w-22 \\ 12=2w \\ \text{divide both sides by 2} \\ \frac{12}{2}=\frac{2w}{2} \\ 6=w \end{gathered}\)Step 3
Area
the area of a rectangle is given by
\(\begin{gathered} \text{Area}=\text{ length}\cdot width\text{ } \\ \text{replace} \\ \text{Area}=11\cdot6 \\ A=66(un)^2 \end{gathered}\)therefore, the width is 6
Area: 66 square units
I hope this helps you
Fred is a weightlifter who can lift 800 pounds on 45% of his attempts. Which of these expressions represents the probability Fred will make 30 lifts out of 60? A. B(30,.45,60)B. B(30,800,60)C. N(30, 800,60) D. N(60, 45, 30)E. B(60, 45, 30)
Expression represents the probability of the given number of attempts and the success rate is given by option E. B( 60 , 45 , 30 ).
As given in the question,
In the given situation,
Let us consider 'n' represents the number of trials attempt by the weightlifter.
'p' represents the probability of success in his number of trials.
And 'r' represents the number of success out of his total number of attempts.
Here n = 60
p = 45%
r = 30
Using binomial distribution method we can represents the expression of the probability for the given condition :
B( n , p , r )
Substitute the values we get,
= B( 60, 45, 30 )
Therefore, for the given total number of lifts , success rate the expression represents the probability is given by option E . B ( 60, 45 , 30 ).
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Put the numbers in order from least to greatest. 10, -4, -12, 3, 0, -7
Answer:
-12, -7, -4, 0, 3, 10
Step-by-step explanation:
just ask !
The number of bacteria in a culture is modeled by
Answer:
Bacteria Growth The number N of bacteria in culture is modeled by N= 250e^kt where t is the time in hours. If N = 280 when t= 10, estimate the time required for the population to double in size.
Step-by-step explanation:
(◔‿◔)(◔‿◔)(◔‿◔)
My teacher gave me an extra credit assignment with 25 minutes left of class. It is extra credit, not a timed assessment. need done asap
HELP! DUE SOON!! SO CONFUSED!!!
Answer: 4.3 meters
Step-by-step explanation:
Let the angle opposite the 3-meter side be \(\alpha\).
Using the Law of Sines,
\(\frac{\sin \alpha}{3}=\frac{\sin 25^{\circ}}{2}\\\\\sin \alpha=1.5 \sin 25^{\circ}\\\\\alpha=\arcsin(1.5 \sin 25^{\circ})\)
Using the sum of the angles in a triangle, the angle opposite the side \(\ell\) is \(155^{\circ}-\arcsin(1.5 \sin 25^{\circ})\).
Using the Law of Sines,
\(\frac{\ell}{\sin(155^{\circ}-\arcsin(1.5 \sin 25^{\circ})}=\frac{2}{\sin 25^{\circ}}\\\\\ell =\frac{2\sin(155^{\circ}-\arcsin(1.5 \sin 25^{\circ})}{\sin 25^{\circ}}\\\\\ell \approx 4.3\)
Answer: The correct answer is 4.3
Step-by-step explanation:
This is an Obtuse Scalene Triangle
Side a = 2
Side b = 3
Side c = 4.26571
Angle ∠A = 25°
Angle ∠B = 39.34°
Angle ∠C = 115.66°
Area = 2.70415
Perimeter p = 9.26571
Semiperimeter s = 4.63285
Calculate c, ∠B, and ∠C based on given a, b, and ∠A.
∠B = arcsin(b·sin(A)/a)
= 0.68662 rad = 39.34°
∠C = 180° - A - B = 2.01864 rad = 115.66°
c = a·sin(C)/sin(A) = 4.26571 = 4.3
Quadrilateral ABCD is a square and the length of BD¯¯¯¯¯ is 10 cm.
What is the length of AE¯¯¯¯¯ ?
Enter your answer in the box.
the length of AE¯¯¯¯¯ =
cm
The length of AE¯¯¯¯¯ is 5√2 cm.
Since quadrilateral ABCD is a square, all four sides are congruent. Let's denote the length of one side as s. Therefore, the length of BD¯¯¯¯¯ is equal to s.
Given that the length of BD¯¯¯¯¯ is 10 cm, we can conclude that s = 10 cm.
Now, we need to find the length of AE¯¯¯¯¯. Looking at the square, AE¯¯¯¯¯ is the diagonal connecting opposite corners.
In a square, the diagonal divides the square into two congruent right triangles. We can use the Pythagorean theorem to find the length of the diagonal.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, the diagonal (the hypotenuse) is the same as the side length, s.
Applying the Pythagorean theorem:
s^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2
10^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2
100 = 2 * AE¯¯¯¯¯^2
AE¯¯¯¯¯^2 = 50
Taking the square root of both sides:
AE¯¯¯¯¯ = √50
Simplifying the square root:
AE¯¯¯¯¯ = √(25 * 2) = 5√2 cm
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m+2=7/n make n the subject
Answer:
\(n = \frac{7}{m + 2} \)
Step-by-step explanation:
\(m + 2 = \frac{7}{n} \)
To make n as the subject , we need to isolate it.
■ Lets multiply n on both the sides in order to shift n to the L.H.S.
\( = > n(m + 2) = \frac{7}{n} \times n\)
\( = > n(m + 2) = 7\)
■ Lets now divide (m + 2) on both the sides in order to isolate n in L.H.S
\( = > \frac{n(m + 2)}{( m+ 2)} = \frac{7}{(m + 2)} \)
\( = > n = \frac{7}{m + 2} \)
Please help me with this
Answer:
trophospe we it's where planes and aircraft fly
Answer:
Troposphere
Step-by-step explanation:
Are these questions different at all? And if so whats the answer to them?
Answer:
i think u got it
Step-by-step explanation:
Some people advise that in very cold weather, you should keep the gas tank in your car more than half full. Irene’s car had 6.5 gallons in the 15-gallon tank on the coldest day of the year. Irene filled the tank with gas that cos $3.70 per gallon.
How much did Irene spend on gas?
After doing some mathematical operations, we can conclude that Irene spends $24.05 on 6.5 gallons of gas.
What are mathematical operations?An operation is a mathematical function that converts zero or more input values into an output value with a known value.The number of operands affects how complex the operation is.The order of operations refers to the rules that define the sequence in which multiple operations should be performed to solve an expression.PEMDAS is an abbreviation for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction (from left to right).So, the amount Irene spends on gas:
The gas in the tank is 6.5 gallons.The gas amount per gallon is $3.70.Then, the amount of 6.5 gallons of gas:
6.5 × 3.70 = $24.05Therefore, after doing some mathematical operations, we can conclude that Irene spends $24.05 on 6.5 gallons of gas.
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The sum of two numbers is twenty-five. One number is five less than the other.
Answer: x=15, y=10
*Note: x and y are only variables used to solve this problem, but know that the two numbers are 15 and 10.
Step-by-step explanation:
For this problem, we can use system of equations. Let's use x for one number and y for the other.
First Equation:
x+y=25
We get this equation because it states that the sum of the two numbers is 25.
Second Equation:
y=x-5
We get this equation because it says one number (y) is 5 less than the other (x).
Since we have two equations, we can use substitution method to solve.
\(x+(x-5)=25\) [distribute 1 to (x-5)]
\(x+x-5=25\) [combine like terms]
\(2x-5=25\) [add both sides by 5]
\(2x=30\) [divide both sides by 2]
\(x=15\)
Now that we have x, we can plug it into any of the equations to find y.
\(x+y=25\) [plug in x=15]
\(15+y=25\) [subtract both sides by 15]
\(y=10\)
Finally, we have our answer, x=15 and y=10.
Answer:25,-5
Step-by-step explanation:
Which of the following functions is graphed below? HELP
The solution is: Piece-wise function
f(x)=x+6 , x≤1
f(x) = x^2 + 3 , x>1, the following functions is graphed below.
Option C is correct.
Explanation:
We are given a graph of piece-wise function which break at x=1
We need to choose correct option for graph.
Function is break at x=1.
We will get two function
For x≤1 and x>1
As we can see x≤1, graph is linear and x>1 graph is parabolic.
Equation of linear graph, x≤1
Take two point of graph (0,6) and (-6,0)
Equation of line:
y-y1/y2-y1 = x-x1/x2-x1
y = x+1
f(x)=x+6 , x≤1
Equation of parabolic graph, x>1
f(x) = x^2 + 3
Piece-wise function
f(x)=x+6 , x≤1
f(x) = x^2 + 3 , x>1
Please see the attached figure.
Hence, The option C is correct.
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PLEASE ANSWER ASAP!!!!!
Answer:
\(\huge\boxed{\sf r = 5}\)
Step-by-step explanation:
Given that,
7(q + 5) = (q + r)7Distribute7q + 35 = 7q + 7r
Subtract 7q from both sides7q - 7q + 35 = 7q - 7q + 7r
35 = 7r
Divide both sides by 735/7 = r
5 = r
OR
r = 5\(\rule[225]{225}{2}\)
Answer:
r = 5
Step-by-step explanation:
Given statement,
→ 7(q + 5) is equivalent to (q + r)7.
Forming the equation,
→ 7(q + 5) = 7(q + r)
Now we have to,
→ Find the required value of r.
Then the value of r will be,
→ 7(q + 5) = 7(q + r)
Applying Distributive property:
→ 7(q) + 7(5) = 7(q) + 7(r)
→ 7q + 35 = 7q + 7r
Cancelling 7q from both sides:
→ 35 = 7r
→ 7r = 35
Dividing the RHS with number 7:
→ r = 35/7
→ [ r = 5 ]
Therefore, the value of r is 5.
Solve for r
rs / a - 3 = k
Answer:
r=(ka)/(s)-(3k)/(s)
Step-by-step explanation:
if the equation is (rs)/(a-3) =k
r=(ka)/(s)-(3k)/(s)
HELP!!!!!!!!!!!!!!!!!!
Answer:
D 0.89275
Step-by-step explanation:
A medical supplier sells gauze in large and small rectangular sheets. A large sheet has a length of 9 inches and an area of 45 square inches. A small sheet has a length of 4 inches and a width of 3 inches. Are the sheets similar?
Answer:
Step-by-step explanation:
Large sheet:
Length = 9 inches
Width of large sheet = area ÷ length = 5 inches
ratio of length to width = 9:5
Small sheet:
Length = 4 inches
Width = 3 inches
ratio of length to width = 4:3
9:5 ≠ 4:3
The sheets are not similar
The large sheet and small sheet are not similar because they have different dimensions.
What is the area of a rectangle ?
Area of rectangle is the region occupied by a rectangle within its four sides or boundaries.
It is given that large sheet has a length of 9 inches and an area of 45 square inches whereas the small sheet has length of 4 inches and a width of 3 inches.
Let's find out the area of small sheet which will be :
A = L × B
A = 4 × 3
A = 12 inches²
Whereas , in case of large sheet the area is 45 inches². So , the area of both sheets are not similar.
Let's check if dimensions are same.
Width of large sheet will be :
A = L × B
45 = 9 × B
or
B = 5 inches
So , dimensions are also not equal.
Therefore , the large sheet and small sheet are not similar because they have different dimensions.
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How can I use coordinates to find distances determine perimeter and geometric shapes
Answer:
Step-by-step explanation:
sketch it out
You wish to test the claim that =1200 at a level of significance of
a =0.01 and are given sample statistics n=35,x=1170,s=82.
Compute the value of the test statistic. Round your answer
to two decimal places.
The test statistics using the z test give the results at -2.16.
What is a test statistic?A test statistic is a statistic that is used to test statistical hypotheses. A hypothesis test is usually defined in terms of a test statistic, which is a numerical summary of a data set that simplifies the data to a single number that can be used to execute the hypothesis test.
The text statistic used in this case is the z-test.
The formula for the z test is given as:
z = (\(\bar X\)-μ)/(s/√(n))
Where
z = z test
μ = Mean
\(\bar X\) = sample average; and
s = standard deviation
Since
\(\bar X\) = 1170
μ = 1200
s = 82
n = 35
z = (1170-1200)/(82/√(35))
= -30/(82/5.9160797831)
= - 30 / 13.8605297775
= -2.16441943285
\(\approx\) 2.16
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A hose fills a hot tub at a rate of 2.82
gallons per minute. How many hours will it take to fill a 303
-gallon
hot tub?
Answer:
Step-by-step explanation:
60 minutes per hour
2.82gal *60mins = 169.2gal per hour.
303 gallons / 169.2 gph = about 1.7907 hours
Which description compares the domains of Function A and Function B correctly? Function A: f(x)=logx Function B: A square root function graphed on a grid in Quadrant One, with the x and y axis beginning at negative ten and increasing in increments of two until reaching ten. The function, labeled g of x, contains a filled in point at begin ordered pair one comma zero end ordered pair and passes through begin ordered pair eight comma two end ordered pair as a smooth curve while extending to infinity. Responses The domain of Function A is the set of real numbers greater than 0. The domain of Function B is the set of real numbers greater than or equal to 1. The domain of Function A is the set of real numbers greater than 0. The domain of Function B is the set of real numbers greater than or equal to 1. The domain of both functions is the set of real numbers greater than or equal to 1. The domain of both functions is the set of real numbers greater than or equal to 1. The domain of Function A is the set of real numbers greater than or equal to 1. The domain of Function B is the set of real numbers greater than 1. The domain of Function A is the set of real numbers greater than or equal to 1. The domain of Function B is the set of real numbers greater than 1. The domain of both functions is the set of real numbers.
The domain of function A and function B are compared by the statement of Option A: The domain of Function A is the set of real numbers greater than 0. The domain of Function B is the set of real numbers greater than or equal to 1.
What is a function?
A function is a fundamental concept in mathematics that relates a set of inputs (also known as the domain) to a corresponding set of outputs (sometimes referred to as the codomain). For each input, there exists exactly one output, and the output can be linked to its corresponding input in a unique manner.
The domain of a function refers to the set of all possible input values for which the function can produce an output.
In Function A, the domain consists of all real numbers greater than 0, since it is a logarithmic function that can take any positive number as an input.
In contrast, the domain of Function B includes all real numbers greater than or equal to 1, since it is a square root function that begins at (1,0) and continues to infinity.
This means that any number greater than or equal to 1 can be used as an input to produce a corresponding output.
It is essential to define the domain of a function accurately to ensure that the function is well-defined and to avoid potential errors or ambiguities in mathematical computations.
Therefore, the correct statement is A.
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Solve this equation for x.
5(1+3x)−9=4(3x−3)
x=−83
x=−19
x=23
x=89
Tim bought 2.7 pounds of potatoes and 1.9 pounds of carrots. How many pounds of vegetables did he buy in all
Hello!
The answer is 4.6 pounds!
You better believe it! :D
Answer:
4.6 pounds of vegetables.
Step-by-step explanation:
2.7 + 19 = 4.6 pounds.
Please help fast! Determine which set of side measurements could be used to form a right triangle. 4, 8, 11 or 6, 8, 13 or square root of 3, square root of 5, 8 or square root of 3, square root of 13, 4.
The following sets of side dimensions could be combined to create a right triangle 6, 8, 13 is √3, √13, 4.
What is a right-angle triangle?In the triangle, there are three angles: two acute angles and one 90-degree angle. The hypotenuse, perpendicular, and base are the terms used to describe the sides of a right-angled triangle.
The next choice shows the triangle's side length:
The point is,
The hypotenuse square of a right-angled triangle is equal to the sum of its squares on its other two sides, according to Pythagoras' Theorem.
Using Pythagoras' Theorem.
Use the formula:
a² + b² = c²
For 4, 8, 11
4, 8, 11
4² + 8² = 16 + 64 = 80
11² = 121
80 is not equal to 121 it cann ot form a right triangle
For 6, 8, 13
6² + 8² = 36 + 64 = 100
13² = 169
100 is equal to 169 - 69 can form a right triangle
For √3, √5, 8
(√3)² + (√5)² = 3 + 5 = 8
8² = 64
8 is equal to 64 cannot form a right triangle
For √3, √13, 4
(√3)² + (√13)² = 3 + 13 = 16
4² = 16
16 is equal to 16 can form a right triangle
In order to create a right triangle, one may utilise the following set of side measurements √3, √13 and 4 form a triangle.
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A model rollercoaster is built to a scale of 1:32. In the model rollercoaster, the angle between the ground and the steepest slope is 110°. What is the angle between the ground and steepest slope on the real rollercoaster?
The angle between the ground and the steepest slope on the real rollercoaster is approximately 89.998°.
A model rollercoaster is built to a scale of 1:32. In the model rollercoaster, the angle between the ground and the steepest slope is 110°.What is the angle between the ground and the steepest slope on the real rollercoaster?
To determine the angle between the ground and the steepest slope on the real rollercoaster, you need to consider the scale of the model rollercoaster.To find the real rollercoaster angle, you should use a scale factor that relates the model rollercoaster to the real one.
The scale factor should multiply the model angle to obtain the real one. Since the scale factor relates the model length to the real length, it should relate the horizontal distance and the vertical height.
The horizontal and vertical lengths are in a ratio of 32:1 for the model. This means that for every 32 units in the model, there is one unit in the real rollercoaster. Therefore, we can say that the horizontal length of the real rollercoaster is 32 times the horizontal length of the model rollercoaster.
That is:h(real) = 32h(model)Similarly, the vertical height of the real rollercoaster is 32 times the vertical height of the model rollercoaster. That is:v(real) = 32v(model)
The tangent of an angle equals the vertical height divided by the horizontal distance. Therefore, the tangent of the real angle equals the tangent of the model angle times the scale factor.
That is:tanθ(real) = 32tanθ(model)By substitution,θ(real) = arctan(32tanθ(model))For the given model angle of 110°,
the corresponding real angle is:θ(real) = arctan(32tan110°)θ(real) = arctan(32(-2.74747741945462))θ(real) = arctan(-87.91927694142864)θ(real) ≈ -89.998°
The negative sign indicates that the angle is measured below the horizontal line.
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Rewrite in simpliest terms-
−0.2(3p−0.9)+0.4(−0.9p−5)
Answer:
-0.96p - 1.82
Step-by-step explanation:
whats 8.546 rounded to the nearest one
Answer:
9
Step-by-step explanation:
ok so first if the place you're rounding to is 5 or more you round up and if the place is 4 or less then it stays the same
8.5
5 is 5 or more so you round up
to 9
original price of shoes is $104.95 a discount of 30% tax 2%
Solving for the price of a $104.95 pair of shoes with 30% discount, after 2% taxes
First, we have to calculate the 70% of the original value (30% discount). Then, we calculate the 2% of that value (70% of $104.95) and add it up, as following:
\(\begin{gathered} 104.95\times\frac{70}{10}=73.47 \\ 73.47\times\frac{2}{100}=1.47 \\ 73.47+1.47=74.94 \end{gathered}\)Thus, the retail price of the shoes, with 30% discount and after 2% taxes, would be 74.94