Answer:
S = P/3
Step-by-step explanation:
Answer:
\( s = \frac{p}{3} \)
A researcher was interested in the effects of gender on attitudes toward women in leadership positions. The researcher surveyed a group of individuals, 12 of whom were men and 12 of whom were women. In this example, what is gender
Gender refers to the social and cultural roles, behaviors, and expectations associated with being male or female. It is a complex construct that includes biological, psychological, and sociocultural factors.
In the context of the researcher's study, gender refers to the binary categories of male and female that were used to differentiate between the 24 individuals surveyed. The study aimed to investigate whether there are differences in attitudes toward women in leadership positions based on this binary categorization.
It is important to note that while gender is often simplified into binary categories, it is actually a diverse and multifaceted construct that can encompass a range of identities and experiences beyond male and female. Researchers should be cognizant of the limitations of binary categorizations and strive to use more inclusive language and methods whenever possible.
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What is 0.0032% in fraction form
% represents a fraction with a denominator 100
\(\frac{0.0032}{100}\)0.0032 is a decimal
\(0.0032=32\cdot10^{-4}\)Therefore
\(\frac{32\cdot10^{-4}}{100}=\frac{32\cdot10^{-4}}{10^2}=\frac{32}{10^2\cdot10^4}=\frac{32}{10^6}=\frac{32}{1000000}\)What is the value of x in the equation 0.3x + 1.7 = 2?
Answer:
x = 1
Step-by-step explanation:
\(0.3x+1.7=2\\\\0.3x+1.7-1.7=2-1.7\\\\0.3x=0.3\\\\\frac{0.3x=0.3}{0.3}\\\\\boxed{x=1}\)
Hope this helps.
The length of rod PR is adjusted to 16 feet. If width PQ remains the same, what is the approximate new height QR of the scaffold? Round your answer to the nearest hundredth.
Question:
Look at the picture of a scaffold used to support construction workers. The height of the scaffold can be changed by adjusting two slanting rods, one of which, labeled PR, is shown: Part A: What is the approximate length of rod PR? Round your answer to the nearest hundredth. Explain how you found your answer stating the theorem you used. Show all your work. (5 points)
B) The length of rod PR is adjusted to 16 feet. If width PQ remains the same, what is the approximate new height QR of the scaffold? Round your answer to the nearest hundredth.
Answer:
A) 16.64 Feets
B) 7.65 feets
Step-by-step explanation:
Given the following :
The question above can be solved by applying Pythagoras rule :
A^2 = B^2 + C^2
PR² = PQ² + QR²
PR² = 14² + 9²
PR² = 196 + 81
PR = √277
PR = 16.64feet
Now if PR is adjusted to 16 Feets, the New height of the scaffold will be:
QR² = PR² - PQ²
QR² = 16² - 14²
QR² = 256 - 196
QR² = 60
Take the Square root of both sides
QR = √60
QR = 7.7459666 Feets
CAN SOMEONE PLEASE HELP ME
Find the measure of ∠4.
35°
55°
70°
90°
Answer:
B.) 55 degrees
Step-by-step explanation:
Angle 4 is complementary to angle 5.
The two triangles with these two angles inside are congruent.
So angle 5 is congruent to the given angle of 35 degrees.
Thus,
90 = 35 - x
X = 90 - 35
X = 55
Answer: 55
Step-by-step explanation:
PLS HELP ASAP IN LIKE 1 MINUTE
A shopping bag contains 18 red potatoes and 12 white potatoes. You choose one potato from the bag without looking. Calculate P(~white potato).
Answer:
2/5
Step-by-step explanation:
Red potato: 18
White potato: 12
Combined: 30
Probability of white potato:
12/30
2/5
What is the slope of the line graphed below? (PLEASE ANSWER IMMEDIATELY)
Answer:
-2/-3
Step-by-step explanation:
Tan theta * tan 2theta = 1, cos 2theta =?
Answer:123445
Step-by-step explanation: sorry I need to answer a question to get a free answer so sorry
Besties help me please
Answer:
Prism A: 264; Prism B: 265.125
Step-by-step explanation:
✔️Surface area of the triangular prism = base area + Perimeter*Height of prism
Base area = ½*bh
b = 6 cm
h = 8 cm
Base area = ½*6*8 = 24 cm²
Perimeter of base = 6 + 8 + 10 = 24 cm
Height of prism = 10 cm
Surface area of the triangular prism = 24 + 24*10 = 264 cm²
✔️Surface area of rectangular prism = 2(LW + LH + HW)
L = 5.25 cm
W = 5.25 cm
H = 10 cm
Surface area of rectangular prism = 2(5.25*5.25 + 5.25*10 + 10*5.25)
= 265.125
Given f(x) = 3. + 1, solve for when f(3) = 7.
Answer:
The question is incomplete
PLEASE HELP MEEEEEEEEEEEEEEEEEEEE
Answer
bruh where's the explanation
Step-by-step explanation:
when rewriting in the form y=a(x-h)+k, by completing the square, the relation y=-x*2+6x+12 becomes:
Answer:
Step-by-step explanation:
you can complete the square or use a calculator online that does it for you.
the equation is in the for y = a(x-h)^2 + k
it should be y = (x + 3)^2 + 3
Answer:
The correct answer is \(y = - (x - 3)^{2} +21\).
Step-by-step explanation:
To solve this equation (y = \(-x^{2} +6x + 12\)), we want to first complete the square. To do this, we want to add a -9 to the expression in order to achieve \(y = -x^{2} +6x - 9 + 12\).
Then, you want to add the -9 to the other side of the equation to get \(y - 9 = -x^{2} + 6x - 9 + 12\).
Then, we factor out the negative sign from the right side of the equation. This is a negative 1 that can therefore make the polynomial easier to factor. This leaves us with \(y - 9 = -(x^{2} -6x+9) + 12\).
Now, we use an identity in algebra that is difference of two squares identity. This says that \(a^{2} -2ab +b^{2} =(a-b)^{2}\).
So, we will then factor the trinomial -\(x^{2} -6x+9\) to get \(-(x-3)^{2}\). Our new and updated equation is \(y-9 = -(x-3)^{2} +12\).
Now, we move the constant of -9 to the right side of the equation. This just means we are going to add this to 12. This gives us \(y = -(x-3)^{2} +21\).
This is our final equation.
Identify the height of a triangle in which b=(x−2) m and A=(x2−4) m2. A) h = (2x + 4) m B) h = (2x + 2) m C) h = (x + 2) m D) h = (x + 4) m
The height of the given triangle is given by option c) h = (x+2)m.
Given the triangle with base b = (x - 2) m and area A = (x² - 4) m²,
we are to determine the height of the triangle using the formula for the area of a triangle.
Area of a triangle = (1/2) × base × height
We have the base and area of the triangle, but the height is unknown.
Therefore, let's find the height of the triangle, h.
A = (1/2) × b × h(x² - 4)
= (1/2) × (x - 2) × h
h = [(x²- 4) / (x - 2)] × 2h
= [(x - 2)(x + 2)] / (x - 2)h
= x + 2
Therefore, the height of the triangle is h = x + 2, which is option C). h = (x + 2) m.
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I don’t know if I get this right so can someone correct it or check it ?
Answer:
i think thats right
Step-by-step explanation:
Let S be a relation on the set R of all real numbers defined by S={(a,b)∈R×R:a 2 +b 2 =1}. Prove that S is not an equivalence relation on R.
The relation S={(a,b)∈R×R:a²+b²=1} is not an equivalence relation on the set of real numbers R.
To show that S is not an equivalence relation, we need to demonstrate that it fails to satisfy one or more of the properties of an equivalence relation: reflexivity, symmetry, and transitivity.
Reflexivity: For a relation to be reflexive, every element of the set should be related to itself. However, in the case of S, there are no real numbers (a, b) that satisfy the equation a² + b² = 1 for both a and b being the same number. Therefore, S is not reflexive.
Symmetry: For a relation to be symmetric, if (a, b) is related to (c, d), then (c, d) must also be related to (a, b). However, in S, if (a, b) satisfies a² + b² = 1, it does not necessarily mean that (b, a) also satisfies the equation. Thus, S is not symmetric.
Transitivity: For a relation to be transitive, if (a, b) is related to (c, d), and (c, d) is related to (e, f), then (a, b) must also be related to (e, f). However, in S, it is not true that if (a, b) and (c, d) satisfy a² + b² = 1 and c² + d² = 1 respectively, then (a, b) and (e, f) satisfy a² + b² = 1. Hence, S is not transitive.
Since S fails to satisfy the properties of reflexivity, symmetry, and transitivity, it is not an equivalence relation on the set of real numbers R.
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mode and medium nad range
P/5 + 6 = 10
1. 44
2. 30
3. 20
4. -20
What one
Answer:
20
Step-by-step explanation:
P/5 + 6 = 10
P/5 = 10 - 6
P/5 = 4
(cross multiply)
P = 5 × 4
P = 20
give an example of a geometric formula that contains pi. what is the formula used for?
An example of a geometric formula that contains pi(π) is the formula for the circumference of a circle, which is
C = 2πr. This formula is used to calculate the distance around a circle.
What is a geometric formula?A geometric formula is a mathematical equation that describes a relationship between geometric figures or their properties.
Geometric formulas are used to calculate the area, perimeter, volume, surface area, and other properties of shapes such as circles, triangles, rectangles, spheres, cubes, and cylinders. For example, the formula for the area of a triangle is
A = 1/2 b×h, where b is the base of the triangle and h is its height.
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If (x - 4) varies inversely as (y + 3) and x = 8 when y = 2, what is x when y = - 1?
Answer:
\(x=14\)
Step-by-step explanation:
If two values are inversely proportional, their product must be maintained. That way, if one value goes up, the other goes down by the same extent.
Therefore, if \((x-4)\) and \((y+3)\) vary inversely, their product will be the same for all values of \(x-4\) and \(y+3\).
Let \(x=8\) and \(y=2\) as given in the problem. Substitute values:
\((8-4)(2+3)=(4)(5)=20\)
Hence, the maintained product is \(20\).
Thus, we have the following equation:
\((x-4)(y+3)=20\)
Substitute \(y=-1\) to find the value of \(x\) when \(y=-1\):
\((x-4)(-1+3)=20,\\(x-4)(2)=20,\\x-4=10,\\x=10+4=\boxed{14}\)
Triangle mnp has vertices n(2, 2) and p(0, â€"2). the triangle is symmetric about the y-axis. what is the approximate measure of the largest angle in the triangle? 53.1° 60.0° 63.4° 83.6°
The approximate measure of the largest angle in the triangle is of:
θ = 63.4º.
How to obtain the measure of the largest angle?The vertices of the triangle are given as follows:
N(2,2) and P(0,-2).
The triangle is symmetric over the y-axis, hence the remaining vertex is given as follows:
M(-2,2).
The side lenghts of the triangle are given as follows:
MN = 4.MP = PN = 4.47.The height of the triangle is of:
4 units.
Hence the base angle is:
Adjacent to a side of length 2 units.Opposite to a side of length 2 units.The tangent is:
tan(θ) = opposite side/adjacent side
Hence:
tan(θ) = 4/2
tan(θ) = 2
θ = arctan(2)
θ = 63.4º.
The diagram given by the image at the end of the answer represents the situation.
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simplify radical sign 16a^8b^-2
Answer:
\( \frac{ {4a}^{4} }{b} \)solution,
\( \sqrt{16 {a}^{8} {b}^{ - 2} } \\ \)
Use negative power rule:
\( {x}^{ - a} = \frac{1}{ {x}^{a} } \)
\( \sqrt{ {16}^{8} \times \frac{1}{ {b}^{2} } } \\ \)
Simplify:
\( \sqrt{ \frac{ {16a}^{8} }{ {b}^{2} } } \\ = \frac{ \sqrt{ {16a}^{8} } }{ \sqrt{ {b}^{2} } } \\ \)
Use this rule:
\( \sqrt{ab} = \sqrt{a} . \sqrt{b} \)
\( \frac{ \sqrt{16. \sqrt{ {a}^{8} } } }{ \sqrt{ {b}^{2} } } \)
Since, 4*4=16 ,the square root of 16 is 4
\( \frac{ \sqrt{ {4}^{2} } \sqrt{ {a}^{8} } }{ \sqrt{ {b}^{2} } } \\ = \frac{4 \sqrt{ {a}^{8} } }{ \sqrt{ {b}^{2} } } \)
Simplify:
\( \frac{4 \: \sqrt{ {(a}^{4) ^{2} } } }{ \sqrt{ {b}^{2} } } \\ = \frac{4 {a}^{4} }{b} \)
Hope this helps...
Good luck on your assignment...
9c+1=10 i do not know the answer to this problem
Answer: To figure out the answer, you have to find c, c equals 0 because adding anything from 9 + 1 equaling 0 will get you above the answer, 10. so, 9c + 1 = 10, now lets change the equation to 9c(0) + 1 = 10, c equaling zero would make the most sense because if c equals 0 then you will get 10, the answer.
Step-by-step explanation:
Answer:
well depending on what they are asking the answer is either
C=1
or
true
Step-by-step explanation:
just accept it
ABCD is a rhombus with m 25 = 3x+33 and m/2 = 4x-44, find x. Round to the nearest tenth.
The value of x is 77 in the rhombus ABCD.
What is Quadrilateral?a quadrilateral is a four-sided polygon, having four edges and four corners.
Given that ABCD is a rhombus with m 25 = 3x+33 and m/2 = 4x-44,
We need to find the value of x.
a rhombus is a quadrilateral whose four sides all have the same length
So 3x+33 =4x-44
Take the variable terms on one side and constant on other side
44+33=4x-3x
77=x
Hence, the value of x is 77 in the rhombus ABCD.
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janet wants to purchase a new car. at the car dealership, a salesperson tells her she can choose from 10 car models, 7 exterior colors, and 9 interior colors.
how many ways can janet customize a car?
Janet can customize a car in 630 different ways.
To determine the number of ways Janet can customize a car, we need to multiply the number of options for each customization choice.
Number of car models: 10
Number of exterior colors: 7
Number of interior colors: 9
To calculate the total number of ways, we multiply these numbers together:
Total number of ways = Number of car models × Number of exterior colors × Number of interior colors
= 10 × 7 × 9
= 630
Therefore, the explanation shows that Janet has a total of 630 options or ways to customize her car, considering the available choices for car models, exterior colors, and interior colors.
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A solution of 60 quarts of sugar and water is 20% sugar. How much water must be added to make a solution that is 5% sugar
On solving the provided question we can say that by equation 180 water must be added to make a solution that is 5% sugar
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
here, the equation is -
1200=300+5x
900 = 5x
x=180
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Which of the following if not a goal of sustainable development? 2. The right of all countries to have access to cheap eneryy b. The protection of the environment. c. The rights of future generations. d. The rights of poor countriss to improve the well-being of their citizens
The correct answer is a. The right of all countries to have access to cheap energy.
Sustainable development is a concept that aims to balance economic growth, social development, and environmental protection in a way that meets the needs of the present generation without compromising the ability of future generations to meet their own needs. It promotes the idea of long-term sustainability and recognizes the interconnectedness of economic, social, and environmental factors.
The goal of sustainable development is to find a harmonious and equitable balance between these three dimensions. It emphasizes the protection of the environment, the promotion of social equity and inclusion, and the consideration of future generations. It recognizes that economic development should not come at the expense of environmental degradation or social injustice.
While access to energy is an important aspect of development, the goal of sustainable development is not solely focused on providing cheap energy to all countries. It considers the broader implications of energy production and consumption, including the environmental impacts and social equity aspects.
Therefore, the right of all countries to have access to cheap energy is not a specific goal of sustainable development as it does not capture the full scope and complexity of the concept.
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Describe the following transformation. Select all that apply
g(x) = -2(x + 5)
The transformation g(x) = -2(x + 5) is described as follows
vertical shift up 5 unitshorizontal shift left 5 unitsreflection over the y axisvertical stretch by a factor of 2What is transformation?Transformation is a term used in mathematics to refer to the movements made by objects.
Translation refers to a type of transformation that involve a linear movement.
The following movements are involved in translation
leftrightupdownhe left and right movements are on the horizontal direction controlled by the x coordinate. (x + 5) = horizontal shift left 5 units
While the up and down movements are on the vertical direction controlled by the y coordinate. k(x + 5) vertical shift up 5 units
multiplying the equation by a number greater than one leads to vertical stretch since it is a negative number this will be a reflection over the y axis
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What is the monthly payment for a $4,000 2-year loan with an APR of 4%?
The monthly payment of loan is $180.26.
What is compound interest?The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest. Compound interest is commonly abbreviated C.I. in mathematics.
Given principal = $4,000
APR = 4%
time = 2 years
First, convert R as a percent to r as a decimal
r = R/100
r = 4/100
r = 0.04 rate per year,
Then solve the equation for A
A =\(P(1 + r/n)^{nt}\)
A = 4,000.00(1 + 0.04/1)¹ˣ²
A = 4,000.00(1 + 0.04)²
A = $4,326.40
amount for 2 years = $4,326.40
monthly payment = 4326.40/24
monthly payment = $180.26
Hence the monthly payment is $180.26
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A beam of radiation is to be used to treat a tumor known to be 5.7 cm beneath thepatient's skin. To avoid damaging a vital organ, the radiologist moves the radiationsource over 8.3 cm. At what angle (nearest degree) must the radiologist aim the radiationsource to hit the tumor?
Explanation:
Let's redraw the diagram first.
To determine the missing angle, we can use the tangent function.
\(\theta=tan^{-1}\frac{opposite\text{ }side\text{ }of\text{ }the\text{ }angle}{adjacent\text{ }side\text{ }of\text{ }the\text{ }angle}\)In the diagram, the opposite side of the angle is the depth of the tumor under the skin surface which is 5.7 cm. The adjacent side of the angle is the horizontal distance on the surface of the skin from the tumor which is 8.3 cm.
Let's plug in these values to the function above.
\(\theta=tan^{-1}\frac{5.7cm}{8.3cm}\)Evaluate the expression using a calculator.
\(\begin{gathered} \theta=tan^{-1}(0.686746988) \\ \theta=34.479\approx34\degree \end{gathered}\)Answer:
Therefore, the radiologist must aim the radiation source at approximately 34º to hit the tumor and avoid damaging the vital organ.