Answer:
-14
Step-by-step explanation:
difference between -20 and -5 = 15
15 x 2/5 = 30/5 = 6
-20 + 6 = -14
FIND THE DOMAIN AND RANGE!!!!
The length of a rectangle is 4 mm less than 3 times the width. If the perimeter is 56 mm, what is the length of the rectangle?
Step-by-step explanation:
l = length
w = width
l = 3w - 4
the perimeter of a rectangle (the way all around the rectangle) is 2 times the length and 2 times the width.
56 = 2l + 2w
now we are using the first equation and substitute it into the second
56 = 2×(3w - 4) + 2w = 6w - 8 + 2w = 8w - 8
64 = 8w
w = 8 mm
=>
l = 3w - 4 = 3×8 - 4 = 24 - 4 = 20 mm
amber must make up a vocabulary quiz. she can take it during her lunch or after school on wednesday, thursday, or friday. The tree diagram shows the possible combination of the times she can make up the quiz
Answer:
6
Step-by-step explanation:
Using the unit circle, what is the exact value of tan pi/6?
Answer:
1/root(3)
Step-by-step explanation:
the steps are in the pic above.
The value of tan pi/6 is 0.5773502.
What are trigonometric functions?The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all sciences that are related to geometry, such as navigation, solid mechanics, celestial mechanics, geodesy, and many others.
Given that, what is the exact value of tan pi/6,
To find the value of tan π/6 using the unit circle:
Rotate ‘r’ anticlockwise to form pi/6 angle with the positive x-axis.
The tan of pi/6 equals the y-coordinate(0.5) divided by the x-coordinate(0.866) of the point of intersection (0.866, 0.5) of unit circle and r.
Hence, the value of tan pi/6 = y/x = 0.5774 (approx)
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The largest share of national health expenditures is attributed to: A. public health activities. B. net cost of private health insurance. C. structures and equipment. D. personal health care.
The largest share of national health expenditures is typically attributed to D. personal health care.
What is personal health care?
Personal health care refers to the direct provision of medical goods and services to individuals, including services such as hospital care, physician services, prescription drugs, and other medical supplies. These expenses typically make up the majority of national health expenditures in many countries, including the United States.
Examples of Personal Health Care Services: Personal health care expenditures include costs associated with hospital care (inpatient and outpatient), physician and specialist services, laboratory tests, prescription drugs, medical devices, home health care, nursing home care, and other healthcare services utilized by individuals.
Factors Contributing to Personal Health Care Expenses: Several factors contribute to the high share of national health expenditures attributed to personal health care. These include the increasing prevalence of chronic diseases, advances in medical technology, rising healthcare utilization, and an aging population requiring more healthcare services.
Private Health Insurance: While personal health care expenditures primarily refer to direct payments made by individuals or on their behalf, a significant portion of these costs is covered by private health insurance. Private insurance plans help individuals offset the financial burden of healthcare expenses by pooling risks and providing coverage for various medical services.
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Graph the system of equations. y = 2x y = –x + 6 Two lines on a coordinate plane that intersect at the point 2 comma 4. One line has y intercept 0 and the other has y intercept 6. Two lines on a coordinate plane that intersect at the point negative 2 comma negative 4. One line has y intercept 0 and the other has y intercept negative 6. Two lines on a coordinate plane that intersect at the point 1 comma 2. One line has y intercept 0 and the other has y intercept 3. Two lines on a coordinate plane that intersect at the point 3 comma 3. One line has y intercept 0 and the other has y intercept 6.
The solution to the systems of equations graphically is (2, 4)
Solving the systems of equations graphicallyFrom the question, we have the following parameters that can be used in our computation:
y = 2x
y = -x + 6
Next, we plot the graph of the system of the equations
See attachment for the graph
From the graph, we have solution to the system to be the point of intersection of the lines
This points are located at (2, 4)
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the local grocery store is running a special three dozen of eggs $1.08 what is the cost per egg
Answer:
more than 25 cents
Step-by-step explanation:
Suppose you are in studying the relationship between the amount of water (X) in a fish pond and the volume of habitat (Y) . You would expect the correlation between X and Y to be because
The correct answers are:
Positive, because as the quantity of water within the pond increases, the quantity of habitat will increase. There is a strong terrible courting indicating that with a boom within the age of male adults, there may be an associated lower in the amount of hair on the top. Plot 1: r = 0.96, Plot 2: r = -0.87
In reading the relationship between the amount of water (X) in a fishpond and the quantity of habitat (Y), we'd anticipate the correlation between X and Y to be tremendous. This is because as the amount of water inside the pond will increase, it gives more sources and areas for the habitat to thrive, ensuing in an increase in the extent of habitat.
Regarding the correlational examination on person men with the variables of age (X) and amount of hair on the pinnacle (Y), a correlation coefficient of r = -0.80 indicates a robust poor courting.
This means that as the age of male adults will increase, there's a related decrease in the quantity of hair on the top. The poor correlation indicates that older males generally tend to have less hair on their heads as compared to younger men.
For the two plots furnished, the quality matches for the correlation coefficients are:
Plot 1: r = 0.96
Plot 2: r = -0.87
These correlation coefficients imply a strong effective courting in Plot 1 and a robust terrible courting in Plot 2, respectively.
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The correct question is:
"Suppose you are in studying the relationship between the amount of water (X) in a fish pond and the volume of habitat (Y). You would expect the correlation between X and Y to be because O, because we cannot determine without data. Positive, because as the amount of water in the pond increases the volume of habitat increases Positive, because as the amount of water in the pond increases the volume of habitat decreases. Positive, because as the amount of water in the pond increases the volume of habitat decreases. Negative, because as the amount of water in the pond increases the volume of habitat decreases. Suppose you conducted a correlational study on adult males with the variables of age (x) and amount of hair on the head (Y). Your study revealed a correlation coefficient r = -0.81. What will be your interpretation for this result? There is a strong positive relationship indicating with an increase in age of male adults there is an associated decrease in amount of hair on the head. There is a weak positive relationship indicating with an increase in age of male adults there is an associated increase in amount of hair on the head. There is a weak negative relationship indicating with an increase in age of male adults there is an associated decrease in amount of hair on the head. The relationship between age of male adults and the amount of hair on the head is curvilinear There is a strong negative relationship indicating with an increase in age of male adults there is an associated decrease in amount of hair on the head. Based on the two plots provided below, match the correlation coefficients that best describe the two plots. Plot 1 Plot 2 3 10 11 2 2 9 Plot 1 = -0.002, Plot 2 = -0.80 Plot 1 = 0.96, Plot 2 = -0.87 Plot 1 = 0.96. Plot 2 - 0.40"
The diameter of a circle is 222 units. What is the radius of the circle?
Answer:
111 units
Step-by-step explanation:
the diameter is double the radius so divide 222 by 2 to get 111 units.
Which expression is equivalent to
6 (x - 3)
?
A.
6x - 3
B.
6x - 18
C.
3x
D.
6x + 18
Answer:
Step-by-step explanation:
6(x-3)=6(x)+6(-3)=6x-18
Answer: the answer is 6x-18 i believe its B
How?
All you have to do is distribute so:
6*X= 6x and 6*-3= -18 put them together and you get 6x-18
Whats the percent of 550% of 22
Answer:
121
Step-by-step explanation:
Convert 550% into a decimal by moving the decimal point 2 times to the left. 5.5. Then multiply 5.5 x 22 to get 550% of 22.
please help me T-T.......
Hi
1) f(x)= 0.9 x
2) g(x) = x-100
3) f °g. is first apply g then f. so :
f°g = 0.9 ( x-100) = 0.9x-90
4) g°f. is first apply f then g
so g°f = (0.9x) -100 = 0.9x-100
I let you conclude which is the best deal :)
what is a congruent polygon
A congruent polygon refers to two or more polygons that have the same shape and size. There must be an equal number of sides between two polygons for them to be congruent.
Congruent polygons have parallel sides of equal length and parallel angles of similar magnitude. When two polygons are congruent, they can be superimposed on one another using translations, rotations, and reflections without affecting their appearance or dimensions. Concluding about the matching sides, shapes, angles, and other geometric properties of congruent polygons allows us to draw conclusions about them.
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what is the surface area
The total surface area of the pyramid is: 208.88 m²
What is the surface area of the pyramid?The surface area of the pyramid is simply the sum of the areas of all the given surfaces.
Formula for the area of a triangle is:
Area = ¹/₂bh
where:
b is base
h is height
Area of four side triangles = 4(¹/₂ * 8 * 12) = 192 m²
Using Pythagoras theorem, the height of the base triangle is:
x = 4.22
Area of base = ¹/₂ * 8 * 4.22 = 16.88 m²
Total surface area = 192 + 16.88
= 208.88 m²
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determine if these triangles are congruent and why 3-4
#3.
Triangle RCH is congruent to Triangle NCH by SAS.
Side 1 - reflexive (CH)
Angle - given
Side 2 - given
#4.
Triangle SOK is congruent to Triangle XAM by ASA.
Angle 1 - angle X is 53 degrees, as is angle S
Side - given
Angle 2 - angle A is 103 degrees, as is angle O
Hope this helps!
Please answer quickly
Answer:
10
Step-by-step explanation:
given :
length WX ≅ (congruent means equal) length XY
therefore , WX = 3
WZ = WX + XZ
WZ = 3 + 7
WX = 10
Maddie is making pineapple punch for her birthday party. The recipe says you need 3 cups of pineapple juice for every 4 cups of ginger ale. If she uses 16 cups of ginger ale, how much pineapple juice will she need?
Answer:
12 cups of pineapple juice for 16 cups of ginger ale.
Step-by-step explanation:
4+4+4+4= 16
3+3+3+3= 12
3 to the power of -6
Answer:
0.00137174211 :,)
Step-by-step explanation:
Answer: 3^-6
Hope it helped u,
pls mark as the brainliest
^_^
The library is located 85 feet due north of the school playground. The cafeteria is located 2534 feet due north of the school playground. What is the distance in feet between the library and the cafeteria?
Answer:
2449
Step-by-step explanation:
subtract 2534 and 85
1. Given the set R² with the vector addition operation defined by (x₁₁x₁)(x₂,₂)=(x₁+x₂,₁ + y₂-2) is a vector space. Find the zero vector of the set above. [4 marks]
Therefore, the zero vector of the set R² with the defined vector addition operation is (0, 1).
To find the zero vector of the given set R² with the defined vector addition operation, we need to find an element that behaves as the additive identity.
Let's denote the zero vector as 0. According to the definition of vector addition, for any vector v in R², we have:
v + 0 = v
To find the zero vector, we need to solve the equation v + 0 = v for all vectors v in R².
Let's consider an arbitrary vector v = (x, y) in R². Using the defined vector addition operation, we have:
(v₁,₁v₁) + (0₁,₁0₁) = (v₁ + 0₁,₁ + 0₁ - 2) = (v₁,₁)
To satisfy v + 0 = v for all vectors v in R², we need to have v₁ + 0₁ = v₁ and 1 + 0₁ - 2 = ₁.
From the first equation, we can conclude that 0₁ = 0 since adding 0 to any number does not change its value.
From the second equation, we have 1 + 0₁ - 2 = ₁, which simplifies to -1 + 0₁ = ₁. To satisfy this equation, we can set 0₁ = 1, since -1 + 1 = 0.
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Select all the correct answers.
Which relations are functions?
х
у
-2
-4
-2
-6
0
-8
2
-10
х
у
0
4
10
5
20
6
10
7
х
у
2
-10
1
-20
0
-10
-1
-20
х
у
2.5
lo
3.5
4
4.5
8
6.5
12
у
-10
4
-20
5
0
6
-10
7
The relations that are function are Table C and Table D
FunctionFunctions relates inputs to outputs. A function relates each value of a set with exactly one value of another sets.
Every element in the input must be related to some element in the output.
Same elements in x cannot be related to different elements in y.
Therefore, the relations that are function are as follows:
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For the following problems, assume that all given angles are in simplest form, so that if A is in QIV you may assume that 270°
a)If cos (A)=1/2 with A in QIV, then sin (A/2)=
b) If sin (A)=3/5 with A in QII, then sec (A/2)
c) If sin (A)=-4/3 with A in QIII, then win (A/2)
B. Let CSC A=(sqrt (13))/2 with A in QI and find the cos (2A)
a) If cos(A) = 1/2 with A in QIV, then sin(A/2) = √(3/8) or approximately 0.612. We can use the half-angle identity for sine, which states that sin(A/2) = ±√[(1-cos(A))/2].
Since A is in QIV, we know that cosine is positive, so we can use the positive form of the identity. Substituting cos(A) = 1/2, we get sin(A/2) = √[(1-(1/2))/2] = √(1/4) = √(3/8).
b) If sin(A) = 3/5 with A in QII, then sec(A/2) = -√(2/3) or approximately -0.816. We can use the half-angle identity for secant, which states that sec(A/2) = ±√[(1+cos(A))/2]. Since A is in QII, we know that cosine is negative, so we can use the negative form of the identity. Substituting sin(A) = 3/5, we need to find the cosine of A. Using the Pythagorean identity, cos(A) = -4/5. Substituting these values into the identity, we get sec(A/2) = -√[(1-(4/5))/2] = -√(2/3).
c) If sin(A) = -4/3 with A in QIII, then cos(A/2) = -√(5/6) or approximately -0.913. We can use the half-angle identity for cosine, which states that cos(A/2) = ±√[(1+cos(A))/2]. Since A is in QIII, we know that cosine is negative, so we can use the negative form of the identity. Substituting sin(A) = -4/3, we need to find the cosine of A. Using the Pythagorean identity, cos(A) = -5/3. Substituting these values into the identity, we get cos(A/2) = -√[(1-(5/3))/2] = -√(5/6).
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1. What's the product of 3 2/3 and 14 2/5?
Can somebody help me again
Answer:
Negative
Positive
Positive
Positive
Positive
Step-by-step explanation:
When you multiply 2 positives together, you will get a positive number.
When you multiply 2 negatives together, you will get a positive number.
When you multiply a positive and a negative together, you will get a negative number.
1. Positive times negative is negative
2. Positive times positive is positive
3. Negative times negative is positive
4. Negative times negative is positive
5. Positive times positive is positive
All other units of measure are defined and compared to the four basic measurements of: _____?
The four basic measurements that serve as the foundation for other units of measure are length, mass, time, and temperature.
Length is a measure of distance between two points, typically measured in meters (m) within the International System of Units (SI). Mass is the amount of matter in an object, measured in kilograms (kg) in the SI system. Time refers to the duration or interval between events and is measured in seconds (s) within the SI system.
Lastly, temperature is a measure of the average kinetic energy of particles in a substance, represented in degrees Celsius (°C) or Kelvin (K) in the SI system.
All other units of measure are defined and compared to these four basic measurements. For instance, speed is derived from the combination of length and time (e.g., meters per second). Similarly, force is derived from mass and acceleration, which itself is derived from the change in velocity over time (e.g., newtons).
The combination and comparison of these fundamental measurements enable scientists, engineers, and other professionals to quantify and analyze various phenomena in the physical world.
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identify the type of data (qualitative/quantitative) and the level of measurement for satifiscation ratings of customers classigied as high medium low classified as
The type of data for satisfaction ratings of customers classified as high, medium, or low is qualitative. The level of measurement for this data is ordinal.
Qualitative data refers to non-numerical information that describes qualities or attributes. In this case, the satisfaction ratings of customers are categorized as high, medium, or low, indicating different levels of satisfaction rather than numerical values.
The level of measurement for qualitative data can be nominal or ordinal. Nominal data categorizes items into distinct groups without any inherent order, while ordinal data maintains the distinct categories but also has an ordered relationship between them.
In the given scenario, the satisfaction ratings are classified as high, medium, or low, which demonstrates an ordered relationship. However, the numerical values or specific intervals between the categories are not defined. Therefore, the data is qualitative and the level of measurement is ordinal.
The satisfaction ratings of customers classified as high, medium, or low are qualitative data with an ordinal level of measurement, indicating an ordered relationship among the categories of satisfaction.
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Graph y=–3x+4. Pls help i dont understand it
Answer:
Step-by-step explanation:
Quadrilateral XENA is a parallelogram. T is the point of intersection of the diagonals. For each situation, write an equation and solve for y.
Answer:
b
Step-by-step explanation:
just took the test yyyyyyyyyyyyyyyyyyyyyyyyy
numerade use cylindrical coordinates. evaluate e x2 y2 dv, where e is the region that lies inside the cylinder x2 y2
The value of the integral ∫∫∫ e²(x² + y²) dV in cylindrical coordinates is h (e²a - 1) π.
To evaluate the integral ∫∫∫ e²(x² + y²) dV in cylindrical coordinates, to express the integral in terms of cylindrical coordinates and determine the appropriate limits of integration.
In cylindrical coordinates, the variables are represented as (ρ, θ, z), where ρ is the radial distance, θ is the angle in the xy-plane, and z is the vertical coordinate.
The region e can be described as the volume inside the cylinder x² + y² ≤ a², where a is the radius of the cylinder.
In cylindrical coordinates, the equation of the cylinder x² + y²= a² becomes ρ² = a².
Therefore, the limits of integration for ρ are 0 to a, the limits for θ are 0 to 2π (covering a complete revolution), and the limits for z depend on the height of the cylinder.
If the height of the cylinder is h, then the limits for z would be -h/2 to h/2.
express the integral in cylindrical coordinates:
∫∫∫ e²(x² + y²) dV = ∫(0 to 2π) ∫(0 to a) ∫(-h/2 to h/2) e²(ρ²) ρ dz dρ dθ the integrand e²(ρ²) depend on the angle θ, factored out of the θ integration.
∫∫∫ e²(x² + y²) dV = ∫(0 to 2π) ∫(0 to a) e²(ρ²) ρ ∫(-h/2 to h/2) dz dρ dθ
The innermost integration with respect to z simply evaluates to h:
∫∫∫ e²(x² + y²) dV = ∫(0 to 2π) ∫(0 to a) e²(ρ²) ρ h dρ dθ
The integration with respect to ρ can be done by substitution. Let u = ρ², then du = 2ρ dρ:
∫∫∫ e²(x² + y²) dV = ∫(0 to 2π) ∫(0 to a) e²u/2 h (1/2) du dθ
= (h/2) ∫(0 to 2π) ∫(0 to a) e²u du dθ
= (h/2) ∫(0 to 2π) [e²u] (0 to a) dθ
= (h/2) ∫(0 to 2π) (e²a - 1) dθ
= (h/2) (e²a - 1) ∫(0 to 2π) dθ
= (h/2) (e²a - 1) [θ] (0 to 2π)
= h (e²a - 1) π
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Find the distance between the two points and round to the nearest tenth. (-2,2) and (3,-5)
Answer:
8.6 I think
Step-by-step explanation:
d=√((x_2-x_1)²+(y_2-y_1)²)