The value of x to 3 significant figures is approximately 18.9 cm.
What is area of circle ?Area of circle can be defined as the product of pi and square of radius of circle.
The area of a circle is given by the formula[tex]A = πr^2[/tex], where r is the radius of the circle.
Since the area of the circle is 56^2 cm, we can set up the equation:
[tex]πr^2 = 56^2[/tex]
Solving for r, we get:
[tex]r = √(56^2/π) ≈ 13.37 cm[/tex]
Since the square fits exactly inside the circle, its diagonal is equal to the diameter of the circle, which is 2r. Therefore:
x√2 = 2r
Substituting the value of r, we get:
[tex]x√2 = 2(√(56^2/π))[/tex]
x√2 ≈ 26.74
Dividing both sides by √2, we get:
x ≈ 18.94
Therefore, the value of x to 3 significant figures is approximately 18.9 cm.
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Amelie works on her homework for hour before her soccer practice and hour after her soccer practice.
How much time did Amelie spend on her homework altogether?
O hour
0 hour
O
hour
hour
4
Answer:
2 hours
Step-by-step explanation:
1 hour from before she does her soccer practice and another 1 hour after her soccer practice so it's going to be
1+1=2
Answer: she works on her homework in total for 2 hours.
Step-by-step explanation: 1+1=2, 60 minutes are in 1 hour, 60+60=120 minutes= 2 hours
solving multi step equations with variables on both sides worksheets pdf
The solution to the equation −3 + 5a = 4a − 10 is a = -7.
First, we will start by subtracting 5a from both sides of the equation. This is the inverse operation of adding 5a to both sides. By subtracting 5a, the left side of the equation becomes -3 and the right side of the equation becomes -10.
=>−3 + 5a -5a = 4a - 5a − 10
=> -3 = -a - 10
So, we will add 3 to both sides of the equation. This will make the left side of the equation 0, and the right side of the equation -7.
=> -a = 7
Now that the equation reads a = -7, we can use the inverse operation of multiplication, which is division, to get the variable a on one side of the equation and the numbers on the other side.
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Complete Question:
Equations w/ variable on both sides Solve each equation.
1) −3 + 5a = 4a − 10
A function g models a relationship in which the dependent variable is multiplied by 9
for every 2 units the independent variable increases. The value of the function at 0 is 2.
Which equation represents g?
The link represented by function g multiplies the dependent variable by 9 for every increase of 2 units in the independent variable. The equation that represents g is [tex]g(x)= 2 \times3^x[/tex],and the function has a value of 2 at 0
Let x be the independent variable, and let g(x) be the dependent variable.
According to the problem, for every 2 units the independent variable increases, the dependent variable is multiplied by 9. This suggests an exponential relationship of the form:
[tex]g(x)= a \times b^x[/tex]
where a is the initial value of the dependent variable (when x=0), and b is the growth factor (how much the dependent variable changes for every unit increase in x).
We are given that g(0) = 2, so we can plug in these values and solve for a:
[tex]g(0)= a \times b^0[/tex]
a = 2
So now we have:
[tex]g(x)= 2 \times b^x[/tex]
We still need to find the growth factor b. We are told that the dependent variable is multiplied by 9 for every 2 units the independent variable increases. In other words:
[tex]g(x+2) = 9 \times g(x)[/tex]
Using our equation for g(x), we can substitute in and simplify:
[tex]2 \times b(x+2) = 9 \times 2\times b^x[/tex]
Simplifying, we get:
[tex]b^2[/tex] = 9
Taking the square root of both sides (we take the positive square root since b must be positive in order for g to be an increasing function), we get:
b = 3
So the final equation for g(x) is:
[tex]g(x) = 2 \times 3^x[/tex]
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A ball is launched from a 69.92-foot tall platform. The equation for
the ball's height h at time t seconds after launch is h (t) = -16t2 +
6.4t+69.92, where h is in feet. When does the object strike the
ground?
What is the conversion of 80c to fahrenheit?
The conversion of 80°C to Fahrenheit is equivalent to 176 degrees Fahrenheit.
Whereas most other nations and for scientific reasons across the world use the Celsius or centigrade scale, the United States uses the Fahrenheit system.
The formula to convert a temperature from the Celsius (°C) scale to its Fahrenheit (°F) equivalent is:
°F = (9/5 × °C) + 32.
To convert 80 degrees Celsius to Fahrenheit, we can use the following formula:
°F = (°C x 1.8) + 32
Plugging in the value for 80°C, we get:
°F = (80 x 1.8) + 32
°F = 144 + 32
°F = 176
Therefore, 80 degrees Celsius is equivalent to 176 degrees Fahrenheit.
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5^-2
what is the answer
Answer: 0.04
Step-by-step explanation:
Just do the Math.
Answer:
1/25 or 0.04
Step-by-step explanation:
Which function is positive for the entire interval [–3, –2]? On a coordinate plane, a curved line with a minimum value of (0, negative 3) crosses the x-axis at (negative 3, 0) and (3, 0), and crosses the y-axis at (0, negative 3). On a coordinate plane, a curved line with a minimum value of (2, negative 3) crosses the x-axis at (negative 1, 0) and (5, 0), and crosses the y-axis at (0, negative 1. 5). On a coordinate plane, a curved line with a minimum value of (2, 4) and a maximum value of (0. 5, 6), crosses the x-axis at (negative 1. 5, 0) and crosses the y-axis at (0, 5). On a coordinate plane, a curved line with a minimum value of (negative 1. 75, negative 3. 9) and a maximum value of (0, 2), crosses the x-axis at (negative 2. 2, 0), (negative 0. 75, 0), and (0. 75, 0), and crosses the y-axis at (0, 2)
The function that is positive for the entire interval [-3, -2] is:
The function has a minimum value of (0, -3) and crosses the x-axis at (-3, 0) and (3, 0). This means that the function is positive for the entire interval [-3, -2] because it is above the x-axis for this interval.
To further explain, a function is positive when its value is above the x-axis on a coordinate plane. In this case, the first function has a minimum value of (0, -3) which means that it is below the x-axis at this point. However, it crosses the x-axis at (-3, 0) and (3, 0), meaning that it is above the x-axis for the entire interval between these two points, including the interval [-3, -2].
The other functions are not positive for the entire interval [-3, -2] because they either have minimum values that are below the x-axis within this interval, or they cross the x-axis within this interval, meaning that they are not positive for the entire interval.
In conclusion, the function that is positive for the entire interval [-3, -2] is the first one because it is above the x-axis for this entire interval.
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The solution to the equation
log2x + log2(x – 6) = 4 is x =
still If we plug in x = -2 into the original equation.
What is the logarithm?A logarithm is a mathematical function that helps to determine how many times a particular number must be multiplied by itself to obtain a specific value. In other words, the logarithm of a number is the exponent to which another fixed value, called the base, must be raised to produce that number.
Given by the question.
Using logarithm rules, we can simplify the left-hand side of the equation:
log2x + log2(x – 6) = log2(x (x – 6))
So, the equation becomes:
log2(x (x – 6)) = 4
Using the description of logarithms, we can rewrite this as:
[tex]2^{4}[/tex] = x (x – 6)
Simplifying the left-hand side, we get:
16 = [tex]x^{2}[/tex] – 6x
Moving all the terms to one side, we get a quadratic equation:
[tex]x^{2}[/tex] – 6x – 16 = 0
We can break this using the quadratic formula:
x = [6 ± sqrt ([tex]6^{2}[/tex]+ 4(1)(16))] / 2
x = [6 ± sqrt (100)] / 2
x = [6 ± 10] / 2
x = 8 or x = -2
still, we need results are valid, because we cannot take the logarithm of a negative number or of zero.
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y=5(2)^2 growth or decay
Answer:Y=20
Step-by-step explanation:
growth
i need help look at the picture for the equation
The coordinate of the vertex A' after a reflection over the y-axis is equal to A'(3, 4).
What is a reflection?In Geometry, a reflection over the y-axis (y = x) is given by this transformation rule (x, y) → (-x, y). This ultimately implies that, a reflection over the y-axis would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.
By applying a reflection over the y-axis to the coordinates of triangle ABC, the coordinates of A' in triangle A'B'C' include the following:
(x, y) → (-x, y)
Coordinate A = (-3, 4) → Coordinate A' = (-(-3), 4) = (3, 4).
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Mr. Adams invested $5000 at the credit union and received $5810. Inclusive of simple interest, after 3 years
a) The simple interest earned is $810. b) The annual interest rate paid by the credit union is 5.4%. c) It will take about 12.81 years for Mr. Adams' investment to be doubled at the same rate of interest.
a) To find the simple interest earned, we can use the formula:
Simple interest = Principal x Interest rate x Time
Where the principal is $5,000, the time is 3 years, and the total amount received at the end of 3 years is $5,810. We can rearrange the formula to solve for the interest rate:
Simple interest = $5,810 - $5,000 = $810
Interest rate = Simple interest / (Principal x Time)
Interest rate = $810 / ($5,000 x 3)
Interest rate = 0.054 or 5.4%
b) The annual interest rate paid by the credit union is 5.4%.
c) To find the length of time it will take for Mr. Adams' investment to be doubled at the same rate of interest, we can use the formula:
Doubling time = ln(2) / ln(1 + r)
Where r is the interest rate as a decimal. Plugging in the values:
Doubling time = ln(2) / ln(1 + 0.054)
Doubling time ≈ 12.81 years
Therefore, it will take about 12.81 years for Mr. Adams' investment to be doubled at the same rate of interest.
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Complete question:
Mr. Adams invested $5,000 at the credit union and received $5,810, inclusive of simple interest, after 3 years. Determine:
a) The simple interest earned
b) The annual interest rate paid by the credit union
c) The length of time it will take for Mr. Adams' investment to be doubled, at the
same rate of interest.
The quadratic equation x x4 3 2 0 2 − − = has what roots
The quadratic equation x2 - 4x + 3 = 0 has two roots. The roots are given by the quadratic formula as x = [4 ± √(16 - 12)]/2, which gives x = [4 ± 2√3]/2. Therefore, the roots are x = 2 ± √3.
The quadratic equation x^2 - 4x - 3 = 0 has two roots.
To find the roots of this equation, we can use the quadratic formula:
x = (-b ± √(b^2 - 4ac))/(2a)
In this case, a = 1, b = -4, and c = -3. Plugging these values into the quadratic formula, we get:
x = (-(-4) ± √((-4)^2 - 4(1)(-3)))/(2(1))
x = (4 ± √(16 + 12))/2
x = (4 ± √28)/2
x = (4 ± 2√7)/2
Simplifying further, we get:
x = 2 ± √7
Therefore, the two roots of the equation are x = 2 + √7 and x = 2 - √7.
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Working out must be seen clearly and correctly
The number of days when there were at least 40 children in the park is 5 days.
How to find the number days ?To find the number of days that saw at least 40 children in the park, check the instances when there were either 40 children or more in the park.
Given the stem and leaf plot, the children in the park on days when there were more than 40 children or 40 children was:
48 children 49 children 52 children 53 children 56 childrenThe number of days is therefore 5 days.
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Answer the questions below
Answer:
Below
Step-by-step explanation:
a = 6 (Real numbers greater than 3)
b = 2 (Real numbers less than 8)
c = 1 (One satisfies this)
Calcule el área sombreada de cada una de las
figuras que se presentan a continuación.
The area of the shaded region is 64(1 - π) cm².
What is the area of a semicircle?The area of a semicircle is -
A = πr²/2
Given is a 2 - D figure as shown in the image.
We can write the area of the shaded region as -
A{shaded} = A{square} - 2 x A{semicircles}
A{shaded} = 64 - 2 x 1/2 x π x (8)²
A{shaded} = 64 - 64π
A{shaded} = 64(1 - π)
Therefore, the area of the shaded region is 64(1 - π) cm².
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{Question in english -
Calculate the shaded area of each of the
figures presented below.}
2 to the power x = 64
Find x
Select the set of quantum numbers that represents each electron in a ground‑state be atom.n = 1, l= 0, ml= –1, ms= 1/2n = 2, l= 0, ml= 0, ms= –1n = 1, l= 0, ml= 0, ms= 1/2n = 1, l= 0, ml= 0, ms= –1/2n = 2, l= 0, ml= 0, ms= 1/2n = 2, l= 1, ml= 0, ms= –1/2n = 2, l= 1, ml= 1, ms= 1/2n = 2, l= 0, ml= 0, ms= –1/2
The set of quantum numbers that represents each electron in a ground‑state be atom are option (1) n = 1, l = 0, ml = –1, ms = 1/2 and option (2) n = 2, l = 0, ml = 0, ms = –1.
Quantum numbers are used in quantum mechanics to describe the position of an electron in an atom. Each electron has four quantum numbers associated with it: n, l, ml, and ms. The set of quantum numbers that describes each electron in a ground-state Be atom is given below.
For the first electron, the set of quantum numbers is n = 1, l = 0, ml = –1, ms = 1/2. This set of quantum numbers indicates that the electron is in the 1s orbital, with an azimuthal quantum number of 0, a magnetic quantum number of –1, and a spin quantum number of 1/2.
For the second electron, the set of quantum numbers is n = 2, l = 0, ml = 0, ms = –1.
This set of quantum numbers indicates that the electron is in the 2s orbital, with an azimuthal quantum number of 0, a magnetic quantum number of 0, and a spin quantum number of –1.
Therefore, option (1) and (2) are right one.
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help me plsssssssssssssssssss
Answer:
Angle 5 is 105 degrees.
Step-by-step explanation:
[tex]180-75[/tex]
[tex]105[/tex]
how to write p multiplied by 4 as an algebraic expression
Answer:
4P
Step-by-step explanation:
See picture below :)
How to convert acres to square feet
Answer:
1 acre=43560 square feet
Step-by-step explanation:
1 acre is 43560 square feet
round answer to the nearest tenth
The values of side lengths d and b in the triangles are d = 2.3 units and b = 8.5 units
How to find the values of side lengths d and b in the triangles?
Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.
TRIANGLE 1
sin 60° = 2/d (Sine = opposite / hypotenuse)
0.8660 = 2/d
d = 2/0.8660
d = 2.3 units
TRIANGLE 2
sin 45° = 6/b (Sine = opposite / hypotenuse)
0.7071 = 6/b
b = 6/0.7071
b = 8.5 units
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What is the conversion of 4 degrees c to f ?
The converted value of degrees Celsius to Fahrenheit which needs to convert 4 degrees Celsius equals to 39.2 degree Fahrenheit.
Temperature measurement is done with the help of the standard units which is known as Celsius and Fahrenheit .Scale factor which defines the relation between Celsius and Fahrenheit is equal to :
(°C × 9/5) + 32 =°F
Now , to get the value of 4 degree Celsius and convert into Fahrenheit apply the above formula we have,
(4°Celsius × 9/5) + 32
= ( 36 / 5 ) + 32
= ( 7.2 ) + 32
= 39.2°Fahrenheit
Therefore, the converted value from degrees Celsius to Fahrenheit for the given temperature 4 degrees Celsius is equivalent to 39.2 Fahrenheit.
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Mara earned $25 for two hours of babysitting. How much can she expect to earn for 5 hours of babysitting? Explain your reasoning.
hello,
we already know that for 2 hours of babysitting, Mara earned $25.
to find how much she'd make for 5 hours of babysitting:
divide 25 by 2 which gets us 12.50.
if mara were to babysit for 5 hours, she'd make $62.50.
I hope this was helpful =]
If the wax cost $1.67 a square foot, how much will the wax cost to cover the floor?
$832.50
$1,300.10
$1,664.99
$2,600.19
Answer:
3. $1664.99
Step-by-step explanation:
1) the area of triangle is
a = 14
b = 19 + 33 - 28 = 24
S = 24 * 14 * 1/2 = 168 ft^2
2) the are of rectangle between the biggest rectangle and triangle is
a = 28 - 19 = 9
b = 14
S = 14 * 9 = 126 ft^2
3) the area of rectangle is
19 * 37 = 703 ft^2
4) the sum of all areas is
703 + 126 + 168 = 997
5) the wax will cost
997 * 1.67 = 1664.99
How much pound is 77 kg?
A pound is about equivalent to 0.453592 kilos. By multiplying the amount of pounds by 0.453592, you may convert pounds to kilogrammes.
So, the value of 77 kg is equal to 169.755 lbs.
The kilogramme is the primary mass unit in the metric system (kg). The masses of one kilogramme and one thousand cubic centimetres of water are comparable.
The weight of one pound is about equivalent to 454 grammes. A kilogramme is equivalent to 2.20462 pounds.
The value of One pound is 0.45359237 kilograms.
To convert kilograms to pounds,
We have to multiply given figure by 2.20462
To convert 77 kg to lbs, you can multiply 77 by 2.20462:
77 kg X 2.20462 lbs/kg
= 169.755 lbs
Therefore, 77 kg is nearly equal to 169.755 lbs.
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The dot plot below shows 6 data points with a mean of 16. A dot plot going from 11 to 20. 1 dot is above 12, 13, 15, 17, 19, 20. What is the absolute deviation at 19? 3 4 7 8
At 19, the absolute deviation is 3.
We use absolute deviation because...Variation in a data set is described by mean absolute deviation. We may determine how "spread out" a data set's values are by looking at the mean absolute deviation.
The deviation (variation) around the mean score is indicated by the absolute and mean absolute deviations.
We may ignore the minus sign and take only the absolute value, giving us the absolute deviation, because we are only interested in the deviations of the scores and not if they are above or below the mean score.
Find the absolute deviation at 19 is the task given to us.
the average reported is 16.
The divergence is therefore 19-16=3.
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What is multiplicative property of equality?
According to this property, when both sides of an equation are multiplied by the same real number, both sides of the equation always remain the same. The formula for this property can be expressed in real numbers a, b and c. If a × c = b × c.
Property of Equality:
The equivalence property describes the relationship between two equal quantities. If you apply a math operation to one side of the equation, you must also apply it to the other side of the equation to maintain balance.
That is, a property that does not change the truth value of an equation or does not affect the equivalence of two or more quantities is called an equality property. These equality properties help solve various algebraic equations and define equivalence or equilibrium relationships.
Multiplicative Property of Equality:
According to this property, when both sides of an equation are multiplied by the same real number, both sides of the equation always remain the same.
The formula for this property can be expressed as for the real numbers a, b, and c.
If a × b, then, a × c = b × c.
In algebra, the multiplicative property of an equation helps extract unknown terms from an equation. Because multiplication and division are opposites of each other.
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what is 45 minutes in decimal?
Based on the concept of measurement, the decimal equivalent is 0.75.
To start, it is important to understand that time is a form of measurement that can be expressed in a variety of ways, including hours, minutes, seconds, and even fractions of seconds. Decimals are also a common way to express time, especially in situations where precision and accuracy are important.
To convert 45 minutes into a decimal, you need to first understand the relationship between minutes and hours.
There are 60 minutes in one hour, which means that 45 minutes is equivalent to 0.75 hours
=> (45/60 = 0.75).
Once you have this decimal equivalent, you can express it in a variety of ways, depending on the context.
If you were measuring time in terms of a workday (i.e. 8 hours), 0.75 hours would be equal to 45 minutes. On the other hand, if you were measuring time in terms of a percentage of an hour (i.e. 100%), 0.75 hours would be equal to 75%.
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Why is it important to consider scholarships and grants before loans to pay for higher education?
A. Scholarships and grants are free money that do not need to be paid back.
B. Scholarships and grants give better interest rates when you apply early.
C. Loans are free money that do not need to be paid back.
D. Loans give better interest rates when you apply early.
Submit
It is important to consider scholarships and grants before loans to pay for higher education because Scholarships and grants are free money that do not need to be paid back. That is option A.
What is Scholarship and grants?Scholarship and grants are defined as payments that are being granted to an individual upon an academic achievement which usually involves a stipulated amount of money.
Scholarship and grants are important due to the following reasons:
it enable students to obtain education they may not have access to otherwise.it provide financial support for students to help pay for a college degree.There is no need of refunds once the scholarship and grant is given.Learn more about scholarship here:
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What is the area of the shape for the quilt block?
ninety-four and one half in2
one hundred sixty-six and one half in2
189 in2
333 in2
The area for the given geometric shape will be 166.5 inch² i.e. B.
What are geometric shapes, exactly?
Geometric forms are mathematical representations that represent the shape of everyday items. Geometric forms with boundary lines, angles, and surfaces are known as shapes. There are several 2d and 3d forms.
Shapes can also be classed based on their regularity or homogeneity. A symmetrical regular form, such as a square or circle, is common. Asymmetry can take on irregular shapes. They're also referred to as organic forms or freeform shapes. A tree, for example, has an irregular or organic shape.
In plane geometry, two-dimensional forms are flat shapes and closed figures such as circles, squares, rectangles, rhombuses, and so on. In solid geometry, the three-dimensional shapes are the cube, cuboid, and sphere.
Now,
Area of the shape will be = Area of rectangle + Area of triangle
For rectangle, length=16 inch, Breadth=9 inch
For triangle, base=6 inch, height=7.5 inch
then area of shape=l*b+1/2*b*h
=16*9+1/2*6*7.5
=144+22.5
=166.5 inch²
hence,
The area for the given geometric shape will be 166.5 inch².
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