Answer:
down below
Step-by-step explanation:
Assuming you meant multiplying:
61.295
Hope this helps! :)
In the diagram, BCD is
BC=5 cm, AB = 12 cm,
AD= 13
straight line,
AC = 13 cm and ABC = 90°.
Find
(a) tan BAC
(b) cos ACD.
Give both answers as fractions.
Step-by-step explanation:
where is the diagram?
please
A bus leaves Deltaville at 11:32 it’s a travels at an average speed of 42 km/h if it arrives in eastwich at12:42 what is the distance between the two towns ?
Answer:
7.14 km
Step-by-step explanation:
the total time that the bus takes to travel from Deltaville to Eastwick 12:42 - 11:32 = 00:10
Convert to hours 00:10 / 60 minutes/hour = 0.17 hours.
distance = speed * time
distance = 42 km/h * 0.17 hours
distance = 7.14 km
a manufacturer must test that his bolts are 5.00cm long when they come off the assembly line. he must calibrate his machines if the bolts are too long or too short. after sampling 49 randomly selected bolts off the assembly line, he calculates the sample mean to be 4.88cm. he knows that the population standard deviation is 0.44cm. assuming a level of significance of 0.01, is there sufficient evidence to show that the manufacturer needs to recalibrate the machines? step 2 of 3 : compute the value of the test statistic. round your answer to two decimal places.
Given that the test's p-value is 0.0562>0.05, there is enough data to conclude that the machines' manufacturer should perform a new calibration.
What is test statistic?A statistic employed in statistical hypothesis testing is known as a test statistic. A test statistic, which can be thought of as a numerical summary of a data set that condenses the data into a single value that can be used to conduct the hypothesis test, is how a hypothesis test is commonly expressed.
Here,
x=4.88 cm
μ=5 cm
σ=0.44 cm
n=49
The test statistic,
=(4.88-5)/(0.44/7)
z=-1.909
The p-value of the test is the probability that the sample mean is different by at least 4.88 - 5 = 0.12 from the target value, which is P(|z| > -1.909), which is 2 multiplied by the p-value of z = -1.909
At z=-1.909, p-value=0.0281
2*0.0281=0.0562
The test's p-value is 0.0562>0.05, indicating that there is enough data to conclude that the machines' manufacturer should perform a recalibration.
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the width of a rectangle is 6 centimeters less than the length. the perimeter is 148 centimeters. find the length and width.
The rectangle has a length of 40 cm and width of 34 cm.
Given,
The length of a rectangle = x cm
The width of the rectangle = x - 6 cm
The perimeter of the rectangle = 148 cm
We have to find the length and width of the rectangle;
Here,
Perimeter of rectangle = 2(length + width)
That is,
148 = 2(x + x - 6)
148/2 = 2x - 6
74 = 2x - 6
74 + 6 = 2x
x = 80/2
Length, x = 40 cm
Width, x - 6 = 40 - 6 = 34 cm
Therefore,
The length of the rectangle is 40 cm and the width of the rectangle is 34 cm
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Cody has $1400 in a savings account that earns 4 % annually. How much will he have total after 3 years?
Answer: $4368
Step-by-step explanation:
Find 4% of 1400 by taking 1400 times 0.04 = $56
So a year he has 1456$
After 3 years just need to take 1456 times 3 = $4368
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. make up three data sets with 5 numbers each that have: a. the same mean but different standard deviations. b. the same mean but different medians. c. the same median but different means
The following data sets represents the required properties:
a. . Same mean but different standard deviation :
3 3 3 3 3
1 2 3 4 5
2 2 3 4 4
b. Same mean but different medians
1 2 3 4 5
1 1 4 4 5
1 2 2 5 5
c. Same median but different median:
1 2 3 5 5
1 2 3 4 5
2 2 3 5 5
As given in the question,
Three data sets with 5 numbers representing :
a. Same mean but different standard deviation :
Mean Standard deviation
3 3 3 3 3 15/5 = 3 0
1 2 3 4 5 15/5 = 3 2.5
2 2 3 4 4 15/5 = 3 1
Mean of the data set = 3
Standard deviation = [tex]\frac{\sum (x - \bar{x} )^{2} }{n -1}[/tex]
b. Same mean but different medians :
Mean Median
1 2 3 4 5 3 3
1 1 4 4 5 3 4
1 2 2 5 5 3 2
c. Same median but different median:
Mean Median
1 2 3 5 5 3.2 3
1 2 3 4 5 3 3
2 2 3 5 5 3.4 3
Therefore, above are the following data set to represent same mean different standard deviation, same mean different median and same median different mean.
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the arithmetic progressions{2,5,8,11, . . .}and{3,10,17,24, . . .}have some common values. what is the largest value less than 500 that they have in common?
The largest value less than 500 that the arithmetic progressions have in common = 479
In this question, we have been the arithmetic progressions {2,5,8,11, . . .} and {3,10,17,24, . . .}
We need to find the largest value less than 500 that they have in common.
We know that the formula for the n-th term of arithmetic progression is: an = a + (n – 1)d
For arithmetic progression {2,5,8,11, . . .}
a_m = 2 + (m - 1)3
For arithmetic progression {3,10,17,24, . . .}
a_n = 3 + (n - 1)7
if we solve for m, n then m =160 and n =69
2 + (160 -1)*3 = 479 which is the 160th term in the arithmetic progression {2,5,8,11, . . .}
3 + (69 - 1)*7 =479 which is the 69th term in the arithmetic progression {3,10,17,24, . . .}
Therefore, the value which less than 500 that both the progressions have in common = 479
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The function below has at least one rational zero. Use this fact to find all zeros of the function h(x) = 7x4 - 9x3 - 41x2 + 13x + 6. If more than one zero, separate with commas. Write exact values, not decimal approximations.
Assuming that h(x) = 7x4 - 9x3 - 41x2 + 13x + 6 and h(-2) = 7, (-2) 4 - 9(-2) (-2) 3 - 41(-2) (-2) 2 + 13(-2) + 6 = 7(16) - 9(-8) (-8) - 41(4) + 13(-2) + 6 = 0;
This indicates that (x + 2) is a synthetic polynomial factor.
(7x4 - 9x3 - 41x2 + 13x + 6) ÷ (x + 2):
The balance is zero.
A polynomial of degree 3 makes up the quotient: g(x) = 7x3 - 23x2 + 5x + 3.
The Rational Zeros Theorem shows that p: 1, 3, which are factors of the constant term 3, and q: 1, 7, which are factors of the leading coefficient 7, respectively
All potential outcomes are p/q: 1, 3, 1/ 7, and 3/7 g(3) = 7. (3)
3 - 23(3) +(3)
By artificial division:
The balance is zero.
The polynomial quotient is quadratic.
7x2 - 2x - 1 = 0
Equation for quadratics = [-b (b2 - 4ac)]/2a
x = -(-2) ± √[(-2)2 - (4 × 7 × -1)]/ (2 × 7) = (2 ± √32)/14 = (1 ± 2√2)/7
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Use point-slope form to write the equation of a line that passes through the point (1,-3)(1,−3) with slope -\frac{5}{3}−
3
5
.
Answer:
y + 3 = (-5/3) × (x - 1)
Step-by-step explanation:
5
(1, -3); m = - -------
x₁, y₁ 3
y - y₁ = m(x - x₁)
y - (-3) = (-5/3)(x - 1)
y + 3 = (-5/3)x + (5/3)
-3 -3
--------------------------------
y = (-5/3)x - (4/3) :Slope-intercept form
I hope this helps!
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle and label its height and width. Then find the area of the region. y―cos x, y= ????x, x= π/2
A=[e to the power of π/2-2] when the height and breadth of a typical approximate rectangle that you have drawn. then locate the region's area. y=eˣ, x=π/2, y=cos x
Given that,
We have to draw the area that the provided curves surround. Choose x or y as the integration direction. Label the height and breadth of a typical approximate rectangle that you have drawn. then locate the region's area. y=eˣ, x=π/2, y=cos x
We know that,
y=eˣ, x=π/2, y=cos x
Now area of the shaded region is
A=[tex]\int\limits^\pi/2_ x=0 \int\limits^e^{2} _y=cosx {dy} \, dx[/tex]
A=[tex]\int\limits^\pi/2_0 {e^{x}-cosx } \, dx[/tex]
Now we integrate with respect to x.
A=[eˣ-sinx]₀π/2
A=[e to the power of π/2- sin(π/2)]-[e⁰-sin(0)]
A=[e to the power of π/2-1]-[1-0]
A=[e to the power of π/2-1-1]
A=[e to the power of π/2-2]
Therefore, A=[e to the power of π/2-2] when the height and breadth of a typical approximate rectangle that you have drawn. then locate the region's area. y=eˣ, x=π/2, y=cos x
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Add.
(7v–4)+(–4v3–v2–8v–5)
Answer:
-4v³ - v² - v - 9
Step-by-step explanation:
1. Subtract the numbers
7v - 4 - 4v³ - v² - 8v - 5
7v - 9 - 4v³ - v² - 8v
2. Combine like terms
7v - 9 - 4v³ - v² - 8v
-v - 9 - 4v³ - v²
3. Rearrange Terms
-v - 9 - 4v³ - v²
-4v³ - v² - v - 9
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A chart which is intended to show the relative values of a set of variables in comparison to each other is a _____.
a. column chart
b. scatter plot
c. pie chart
d. line chart
A field measures 40 by 80 yards. Larysa makes a scale drawing with a scale of 1 in. to 5 yd., and Prakash makes his own scale drawing with a scale of 1 in. to 8 yd. Whose drawing has a larger area? Explain your reasoning
Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.
A field estimates 40 by 80 yards. Larysa makes a scale drawing with a size of 1 in. to 5 yd., and Prakash makes his own scale drawing with a size of 1 in. to 8 yd.
The dimension of the Larysa drawing is given as,
⇒ 40 x 1/5
⇒ 8 in
⇒ 80 x 1/5
⇒ 16 in
The dimension of the Prakash drawing is given as,
⇒ 40 x 1/8
⇒ 5 in
⇒ 80 x 1/8
⇒ 10 in
The dimension of the Prakash's drawing is less than the dimension of the Larysa's drawing. The Larysa's drawing has the larger area.
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What is the surface of a rectangular prism with the length of 5 cm, width of 4 cm and height of 2 cm?
The surface area of the rectangular prism is 76cm^2
What are the basics of geometry?Geometry is the study of various mathematical or actual-world shapes, figures, and sizes. In geometry, we study various angles, transformations, and figure-to-figure similarities. The fundamental concepts of geometry primarily depend on point, line, angle, and plane.
What are the 3 types of geometry?The three most popular types of geometry are solid geometry (which deals with objects like the line, sphere, and polyhedron) and spherical geometry. Plane geometry deals with objects like the point, line, circle, triangle, and polygon.
According to the question:-
The surface area of the rectangular prism is:_
surface area= 2*(lb+bh+hl)
=2*(5*4+4*2+2*5)
=76 cm^2
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at a particular pressure and temperature, it takes 4.55 min for a 1.5-l sample of he to effuse through a porous membrane. how long does it take for 1.5 l of f2 to effuse under the same conditions?
Time required to diffuse the F2 gas under the same conditions pressure and temperature with same volume is equal to 14 mins( approximately).
As given in the question,
Time taken by 1.5L sample of He gas to diffuse = 4.55 min.
Molar mass of He gas = 4g
Volume of He gas = 1.5L
Volume of F2 gas = 1.5L
Molar mass of F2 = 38gm
Formula of Rate of diffusion is given by :
Rate of diffusion of He / Rate of diffusion of F2
= √Molar mass of F2 / √Molar mass of He
Now,
Rate of He = Volume of He / time taken
= 1.5 / 4.55
Rate of F2 = [ ( Rate of He ) ×√ Molar mass of He ] / √ Molar mass of F2
= ( 1.5 / 4.55 ) × ( √4 / √38)
= 3 / 28.028
= 0.107 L / min
Time of F2 = Volume of F2 / Rate of F2
= 1.5 / 0.107
= 14.02 minutes
≈ 14 minutes.
Therefore, the time taken by F2 to diffuse under the same condition of He is equal to 14 minutes.
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Determine which equation is linear
Answer:
A. No
B. No
C. Yes
D. Yes
Step-by-step explanation:
Davis can read 4/5 of a page in one minute. How many pages can he read in 4 1/2 minutes?
Simplify your answer completely.
Answer: I believe it is 18/5
or Decimal Form:
3.6
or Mixed Number Form:
3 3/5
Step-by-step explanation
4/5 x 4 1/2
P & P contractors was paid $562 by the Rogers family to build a fence. Six workers worked on the fence and each worker was to be paid the same. P & P Contractors took $148 dollars before any workers were paid. How many dollars did each worker make?
Answer: $69
Step-by-step explanation: 562-148=414 & 414/6=69
explain how to identify the constant of proportionality from a graph of any proportional relationship
The constant of proportionality from a graph of any proportional relationship is find as below.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The constant of proportionality from a graph of any proportional relationship.
Now,
Let the solution of the graph = (2, 10)
Then, The constant of proportionality from a graph of any proportional relationship is find as;
⇒ Constant of proportionality = 10 / 2
= 5
Thus, The constant of proportionality from a graph of any proportional relationship is find as above.
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trapezoid abcd has vertices at A(-4,-1) b(-2,3) c(4,3) and d(8,-1) what is the perimeter of abcd round to the nearest tenth
The perimeter of ABCD, given the vertices of the trapezoid, can be found to be 28.13 units
How to find the perimeter?To find the perimeter of this trapezoid, you need to find the distances between AB, BC, CD, and AD. To find these, you can use the formula for finding the distance between vertices.
That formula is:
= √( ( X₂ - X₁ ) + ( Y₂ - Y ₁))
Using this formula, the distance of AB is 4.47 units.
The distance between BC is 6 units.
The distance between CD is 5.66
The distance between AD is 12 units
The perimeter is the distance around the shape:
= 4.47 + 6 + 5.66 + 12
= 28.13 units
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Confused please help Brainliest will be rewarded!!!!!!!
Answer:
56
Step-by-step explanation:
Take two points as far apart on the line (for maximum accuracy), preferably on grid points, and then calculate the vertical difference divided by the horizontal difference.
So (4, 224) and (0,0) are on the line, and (224-0)/(4-0) = 56
what is eguilvilt to -2 with the power of 4 over -2 with the power of 2
By using exponent properties we will find the equivalent expression:
(-2)⁴/(-2)² = (-2)² = 4
How to get an equivalent expression?Here we need to use the exponent property:
xⁿ/xᵇ = xⁿ⁻ᵇ
Here the expression we have is:
(-2)⁴/(-2)²
Using the above property we can rewrite the expression as:
(-2)⁴/(-2)² = (-2)⁴⁻² = (-2)²
Now we can solve this:
(-2)² = (-2)*(-2) = 4
Then the equivalent expression is 4.
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HELP !! it’s due by midnight pleaseee help me
x =2173
Step-by-step explanation:
The sum of the measures of the angles of any triangle is 180 degrees . In a certain triangle, the largest angle measures 55degrees less than twice the medium angle, and the smallest angle measures 25 degrees less than the medium angle. Find the measures of each of the three angles.
Each of the three angles measures 75°, 65°, and 40°.
What is an angle measure?
An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.
Here, we have
Let the largest angle be x degrees, the median y, and the smallest z.
x = 2y - 55
z = y - 25
x + y + z = 180
Substituting for x in the last equation:
2y - 55 + y + z = 180
3y + z = 235
From the second equation:
- y + z = -25 Subtract this from the last equation:
4y = 260
y = 65 degrees
z = 65 - 25 = 40 degrees.
and x = 180 - 65 - 40 = 75 degrees.
Hence, each of the three angles measures 75°, 65°, and 40°.
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The measures of each of the three angles are 40,65 and 75 degrees.
What is angle ?
In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle.
Give that:
Let us consider X,Y,Z re the largest ,medium and smallest angle in the triangle.
Sum of the measures of the angles of any triangle is 180 degrees .
X + Y + Z = 180 degree
The largest angle measures 55degrees less than twice the medium angle,
Z = 2Y - 55 degree
The smallest angle measures 25 degrees less than the medium angle,
X = Y - 25 degree
Now ,replace X by (Y - 25) and Z by (2Y - 55) in the first equation
Y - 25 +Y + 2Y - 55 = 180 degree
4Y = 180 + 25 + 55
4Y = 260
Y = 65 Degree of the medium angle
X = 65 - 25
X = 40 Degree of the smallest angle
Z = 2 * 65 -55
= 130-55
Z = 75 Degree of the largest angle.
40 + 65 + 75 = 180
180 = 180
Hence proved.
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help pleaseee!!!! !!!
Answer:
x=2173
Step-by-step explanation:
What is 1 plus 1?????????
Answer:
2
Step-by-step explanation:
you take 1 and add 1 to it... and bam... 2
Answer:
2
Step-by-step explanation:
1+1=2 because 2-1=1 :0
Determine if the following equation is linear or non-linear: y = x − 1
Answer:
Step-by-step explanation:
a food truck only sells two types of sandwiches ham and chicken.
the food trucks charges 350 for ham sandwiches and four for chicken sandwiches.
two nights ago the food truck sold $415 worth of sandwiches the food truck sold 110 sandwiches.
the system of equations written below represents the Food Truck Sale of sandwiches H + C equals 110 3.50 H + 4 C = 415.
how many chicken sandwiches did they sell ?
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The number of chicken sandwiches is 60.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 - 6 is an equation.
We have,
Number of ham sandwiches = H
Number of chicken sandwiches = C
Cost of ham sandwiches = $3.50
Cost of chicken sandwiches = $4
Now,
The total number of sandwiches = 110
The total amount earned = $415
Now,
The two equations are:
H + C = 110 _____(1)
3.50H + 4C = 415 _____(2)
From (1) we get,
C = 110 - H _____(3)
Now,
Putting (3) in (2) we get,
3.50H + 4(110 - H) = 415
3.50H + 440 - 4H = 415
-0.5H = 415 - 440
-0.5H = -25
H = 25/0.5
H = 50
Now,
Putting H = 50 in (3) we get,
C = 110 - H
C = 110 - 50
C = 60
Thus,
The number of chicken sandwiches is 60.
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The graph of y = f(x) is transformed to the graph of y = 2f(x - 1).
Describe fully the two single transformations which have been combined to give the resulting transformation.
Answer:
Stretches vertically by 2, shifts right by 1
Step-by-step explanation:
changes to y are direct, but you have to take the inverse for changes to x. This is because for a given value of y, with x-1, you would have to add one to x to make it the same value(to get the same point before the transformation)
What percentage of diabetes patients have type 2? a. 5 - 10% b. 50 - 55% c. 75 - 80% d. 90 - 95% please select the best answer from the choices provided. A b c d.
The correct option d. 90 - 95%, is the percentage of diabetes patients having type 2.
Explain the term type 2 diabetes?A disorder in the body's ability to control and utilize sugar (glucose) as fuel is type 2 diabetes.
This chronic (long-term) disorder causes the bloodstream to circulate with an excessive amount of sugar. Over time, cardiovascular, neurological, and immune system issues might result from excessive blood sugar levels.Your body's cells cannot correctly absorb sugar (glucose) from of the meals you eat if you do have Type 2 diabetes. Diabetes type 2 can lead to heart disease, renal disease, and stroke if it is not addressed.The recipe for diabetes management is a healthy diet.
Thus, one in ten Americans, or more than 37 million people, have diabetes, and 90–95% of them suffer from type 2 diabetes.
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Answer:
D
Step-by-step explanation:
90-95