1 milligram equals 0.001 grams. 1 gram is equal to 1000 milligrams.
So, 500 milligrams is equivalent to 0.5 grams.
The International System of Units uses the unit of mass known as the gramme (symbol: g) (SI).
The kilogramme serves as the basis for the definition of the gramme.
The SI base unit of mass is the gramme, which is one thousandth of a kilogramme.
The kilogramme, the foundation unit of mass in the SI (International System of Units), serves as the basis for the weight and mass unit known as the milligramme.
It is equivalent to 1/1,000,000 kilos or 1/1,000 gramme.
500 milligrammes equal 0.5 grammes.
grammes (g) from milligrammes (mg) (g),
You can divide the number of milligrams by 1000:
500 mg ÷ 1000 = 0.5 g
So,
500 milligrams is equivalent to 0.5 grams.
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The side of a cube is multiplied by a factor of 10 . By what factor does the volume of the cube change?
The new volume of the cube is 1000 times the original volume. This means that the volume has increased by a factor of 1000.
What is volume?Volume is a measure of the amount of space that a three-dimensional object occupies. It is a property of a solid shape, and is usually expressed in units of cubic units, such as cubic meters [tex](m^3[/tex]), cubic centimeters [tex](cm^3[/tex]), or cubic feet [tex](ft^3)[/tex].
The volume of a cube is given by the formula [tex]V = s^3[/tex] cube is multiplied by a factor of 10, then the new side length becomes 10s.
The new volume of the cube can be calculated as follows:
V' = [tex](10s)^3[/tex]
= [tex]10^3[/tex] * [tex]s^3[/tex]
= 1000 *[tex]s^3[/tex]
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The cube's new volume is 1000 times larger than its old volume. This indicates that the capacity has multiplied by 1000.
Describe volume?
The quantity of space a three-dimensional object takes up is measured by its volume. It is a characteristic of solid shapes and is frequently stated in cubic unit measurements like cubic meters, cubic centimeters, or cubic feet.
The method for calculating a cube's volume is cube times a factor of 10, where the new side length is 10s.
The new volume of the cube can be calculated as follows:
V' = [tex]s^{3}[/tex]
= [tex](10s)^{3}[/tex]
[tex]V'=1000 s^{3}[/tex]
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Write the number below as a fraction in its simplest form
answer:
answer:1/8
answer:1/8explanation :
answer:1/8explanation :0.125 as a fraction in simplest form is 1/8
answer:1/8explanation :0.125 as a fraction in simplest form is 1/8Step 2: Find the HCF or the highest common factor of 125 and 1000.
answer:1/8explanation :0.125 as a fraction in simplest form is 1/8Step 2: Find the HCF or the highest common factor of 125 and 1000.hope this helped.
what is maximum and minimum calculator online
Minimum and Maximum Calculator is an online widget that helps you find the max and min values of a function.
The maximum value is the point at which the function has the highest value of all other values, while the minimum value is the lowest value in the entire function.
The calculator returns the global maximum and minimum of the function along with a graph on the Cartesian plane as the solution. A min-max calculator is an online calculator that can be used to find the maximum and minimum values of a mathematical function.
Finding the extreme values of a function is also known as optimization. Feature optimization is a central concept in engineering, business, and machine learning.
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AC=3x-4 AB=62 BC=x-2 find the x
AC=3x-4 AB=62 BC=x-2, x = 17. This can be solved by using the concept of simplification.
What is straight line?A line is an endlessly long object without breadth, depth, or curvature in geometry. So, despite the fact that they can exist in two, three, or more dimensional environments, lines are one-dimensional things. The term "line" can also refer to a line segment that has two locations that serve as its endpoints in daily life.
The most clear and simple way to calculate depreciation is along a straight line. It is most beneficial when an asset's value declines slowly over time at a pace that is close to constant.
Given that,
AC=3x-4
AB=62
BC=x-2
As we can clearly see in line AB:
AC+BC= AB
=>(3x-4)+(x-2)= 62
=>4x -6 = 62
=>4x = 62+6
=>4x = 68
=>x = 68/4
=>x= 17
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The complete question is as follows:
Which function is not graphed correctly? Help needed ASAP!!
Answer:
Step-by-step explanation:
A is not graphed correctly. The graph is turned upside down from what it should be.
3^8 x 2^3 divided by 3^5
Answer:
216
HOPE THIS HELPS
PLS GIVE BRAINLIEST
3 = blank X blank X blank = 27
fill in the blanks
Answer:
blank=9
Step-by-step explanation:
need help please help me fast
The area of the triangular prism is 240 mm²
Right triangular prism:A triangular prism is a prism with three rectangular faces connecting its two congruent triangular faces. It consists of 5 faces, 6 edges, and vertices.
The sum of the areas of all the triangle's faces is the surface area. By using the net of a prim we can determine the area of the prism as given below. Here we calculate the individual parts of the net to get the total area.
Here we have
A right triangular prism and its net
The area of the prism can be calculated by calculating the area of the 2 triangles and the areas of 3 rectangles in the given net
As we know Area of rectangle = Length × Width
Area of rectangle parts = [ 3 × 8 ] + [ 3 × 15 ] + [ 17 × 3 ]
= 24 mm² + 45 mm² + 51 mm²
= 120 mm²
Area of triangle parts = 2 [ 1/2 (15 × 8) ]
= 120 mm²
Total area of prism = 120 mm² + 120 mm² = 240 mm²
Therefore,
The area of the triangular prism is 240 mm²
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The width of a rectangle is 10 feet, and the diagonal length of the rectangle id 32.5 feet. What us the measure of the length if the rectangle in feet? round yo the nearest tenth
Answer:
about 30.9 feet
Step-by-step explanation:
Using the Pythagorean Theorem:
[tex] {l}^{2} + {10}^{2} = {32.5}^{2} [/tex]
[tex] {l}^{2} = 956.25[/tex]
[tex]l = 30.9[/tex]
In AQRS, q = 99 cm, r = 17 cm and s-96 cm. Find the measure of ZS to the nearest
degree.
The measure of ∠S is 75 degrees
How to find the measure of ∠S to the nearest degree?
The cosine rule is for solving triangles which are not right-angled in which two sides and the included angle are given. The following are cosine rule formula:
cos(S) = (q² + r² - s²)/2qr
where q, r and s are the lengths and Q, R and S are the angles
Using the formula:
cos(S) = (q² + r² - s²)/2qr
cos(S) = (99² + 17² - 96²)/(2*99*17)
cos(S) = 0.2597
S = cos⁻¹(0.2597)
S = 75 degrees
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Use the diagram to complete the statements.
The angle of depression from point R to point S is angle
.
The angle of elevation from point S to point R is angle
.
Angle 2 is the angle of elevation from
.
Angle 1 is the angle of
.
The angle of depression from point R to point S is ∠1.
The angle of elevation from point S to point R is ∠2.
∠2 is the angle of elevation from S to R.
∠1 is the angle of depression from point R to point S.
What is an angle of elevation?
The angle of elevation is the angle created between the line of sight and the horizontal. The angle created is an angle of elevation if the line of sight is upward from the horizontal line.
There is an angle of elevation from point R to S. Thus point R is lie above S.
The angle of depression from point R to point S is ∠1.
The angle of elevation from point S to point R is ∠2.
∠2 is the angle of elevation from S to R.
∠1 is the angle of depression from point R to point S.
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what is the secant in trigonometry?
Secant can be defined as the reciprocal of cosine. Secant of angle A will be hypotenuse/adjacent.
There are three basic trigonometric ratios. Sin, Cos and Tan.
Sin = opposite side/ hypotenuse
Cos = adjacent side/ hypotenuse
Tan = opposite side/ adjacent side
Here in the give image, Sin(A) = a/c
Cos(A) = b/c
Tan(A) = a/b
There are reciprocals for each trigonometric functions
Cosecant is the reciprocal of sine. Cosec(A) = c/a
Secant is the reciprocal of Cosine. Sec(A) = c/b
Cotangent is the reciprocal of Tangent . Cot(A) = b/a
So secant is one of inverse trigonometric functions.
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The annual rate of growth in population of a certain city is 8%. If its present population is 1,96,830 then what was the population three years ago?
Answer: The population three years ago was 156250.
Step-by-step explanation:
Let 3 years ago, the population of a city = P
Rate of growth (R) = 8% p.a.
Present population (P) = 1,96,830.
Therefore,
[tex]A=P(1+R100)n[/tex]
P = A÷(1 + 8/100)³
196830 ÷ (1+2/25)³
=156250.
3 years ago, the population of the city = 156250.
What is the value of X and Y?
The length of the sides x and y of the right-angled triangle are both equal to 9m using the trigonometric ratio of sine and cosine of angle 45°
What is trigonometric ratios?The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.
The basic trigonometric ratios includes;
sine, cosine and tangent.
Considering the right-angled triangle, we shall calculate for the length x and y by application of the trigonometric ratio of sine and cosine for the angle 45°.
sin 45° = y/9√2 {opposite/hypotenuse}
by cross multiplication
y = 9√2 × sin 45°
recall that sin 45° = √2/2
y = 9√2 × √2/2
y = 9m
cos 45° = x/9√2 {adjacent/hypotenuse}
by cross multiplication
x = 9√2 × cos 45°
recall that cos 45° = √2/2
x = 9√2 × √2/2
x = 9m
Therefore, the length of the sides x and y of the right-angled triangle are both equal to 9m using the trigonometric ratio of sine and cosine of angle 45°.
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How to convert 95kg in lbs?
95 kg is approximately equal to 209.4390 pounds ( rounded to four decimal places )
The conversion factor to convert kg to lbs is 2.20462
1 kg = 2.20462 pounds
The conversion is the process of changing the unit of one quantity to another units
The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing
The mass in lbs = The mass in kg × conversion factor
Substitute the values in the equation
1 kg = 2.20462 pounds
95 kg = 95 × 2.20462
Multiply the numbers
= 209.4390 pounds ( rounded to four decimal places )
Therefore, 95 kg is 209.4390 pounds
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Find the surface area of the curved surfaces
Answer:
155.744
Step-by-step explanation:
Find the value x given angles?
Answer:
x=60
Step-by-step explanation:
180 is the some of the angle of an triangle
in the left triangle the angle is = 180-70-75=35
in the right triangle the angle is=180-35-60=85
x=180-80-45=60
Answer:
Step-by-step explanation:
Remember: The three interior angles of a triangle will always add up to 180 degrees.
In order to solve for x, we need to solve for other missing angles
1) Solve for the missing angle on the triangle to the left.
180 - 75 -70 = 35 degrees.
2) Solve for the missing angle on the triangle to the right (not x).
180 - 60 - 35 = 85 degrees
3) Finally, solve for the x angle by subtracting 45 and 85 from 180. x = 50 degrees.
The difference between the high and low temperatures on Sunday was at least 35°F. The low temperature on Sunday was -8°F.
Part A
Select the correct values and symbol to write an inequality that represents the possible high temperatures, t, on Sunday.
t- __ _ __
High temp ≥ Low temp + difference
High temp ≥ -8°F + 35°F
High temp ≥ 27°F
InequalityAn inequality is a relationship between two different quantities or expressions.
An inequality may be expressed by a mathematical sentence that uses the following symbols:
< is less than
> is greater than
≤ is less than or equal to
≥ is greater than or equal to
≠ is not equal to
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3x+5=50 , can anyone help me solve that ! . Tysm , also its not high school . its middle but wtv
Answer: x=15
Step-by-step explanation:
3x+5=50
3+5=50
Subtract the numbers
3x+5-5=50-5
3x/3=45/5
x=15
When an object is dropped into a liquid, the volume of the displaced liquid is _______ to the volume of the object that is dipped. ( a ) Smaller ( b ) Greater ( c ) Equal ( d ) May be Greater or Smaller
Answer:
C
...................
what is the answer to this, its on khan
Answer:
B) 5
Step-by-step explanation:
AB = 4 units
BC = 3 units
Use Pythagorean theorem to find the length of AC,
AC² = AB² + BC²
= 4² + 3²
= 16 + 9
= 25
[tex]AC = \sqrt{25}\\\\[/tex]
AC = 5 units
what is multiplying polynomials calculator?
A multiplying polynomials calculator is a tool used to multiply two or more polynomials together.
A multiplying polynomials calculator is a tool used to multiply two or more polynomials together. It can be helpful for simplifying algebraic expressions, solving equations, and performing various calculations in mathematics and engineering.
The calculator takes the coefficients of each polynomial as input and uses the distributive property to multiply the terms of each polynomial together. It then combines like terms and arranges the result in descending order of degrees. Multiplying polynomials can be a tedious and error-prone process, especially for large polynomials, so using a calculator can save time and reduce the chances of errors. The multiplying polynomials calculator is commonly used by students, teachers, engineers, and anyone working with algebraic expressions.
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Complete the ratio table.
82 19
164 38
57
328 76
410
To complete a ratio table, we need to find the missing values that would make the ratios equivalent. 82 19 4:1 164 38 4:1 57 13.5 4:1
328 76 4:1 410 95 4:1
Completing a Ratio TableTo complete the given ratio table, we need to find the missing values that would make the ratios equivalent. Ratios are used to compare two or more quantities and are expressed in the form of a fraction, with the numerator representing one quantity and the denominator representing another.
Starting with the first row of the table, we can see that the ratio of the first two values is 82:19. To find the missing value in this row, we need to determine what value multiplied by 19 would give us 82. Using basic algebra, we can set up the equation
19x = 82
And solve for x, which gives us
x = 82/19.
= 4.32
This value is approximately 4.32. Therefore, the missing value in the first row is 82:19:4.32.
Moving on to the second row, we can see that the ratio of the first two values is 164:38. Similar to the first row, we can find the missing value by determining what value multiplied by 38 would give us 164.
Solving the equation
38x = 164
x = 164/38,
= 4.32.
Therefore, the missing value in the second row is 164:38:4.32.
In the third row, only one value is given, which means we need to determine the other value that would make the ratio equivalent to the previous rows.
Since the missing value in the first two rows is 4.32, we can set up the equation
57: x = 82/19
And solve for x.
This gives us x = 57 * (82/19), which is approximately 244.42. Therefore, the ratio in the third row is 57:244.42.
In the fourth row, we can use the same approach as the previous rows to find the missing value. Setting up the equation
76x = 328
x = 328/76,
which is approximately 4.32. Therefore, the missing value in the fourth row is 328:76:4.32.
Finally, in the last row, we are asked to explain the process of completing a ratio table. To complete a ratio table, we need to determine the missing values that would make the ratios equivalent. This involves setting up equations based on the given ratios and solving for the missing values. Once we have found the missing values, we can add them to the table and ensure that the ratios are equivalent across all rows
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Once Triangle Similarity is established, which of the following corresponding parts are also established?
The corresponding parts are as follows;
Angle ATS = Angle ABC
side AS = side AC
Angle SAT = Angle CAB
Angle AST = Angle ACB
Side AT = Side AB
What is SAS similarity theorem?ΔABC ~ ΔDEF only if ratio of two sides of ΔABC and corresponding two sides of ΔDEF is equal and the angle included in both sides are congruent.
Suppose the two sides of ΔABC are AB and BC, and that of DEF be DE and EF.
For two similar figures, the pair by pair similar angles of those two similar figures are called corresponding angles. They are of same measurement.
We are given the similar triangles as;
ΔACB = ΔAST
Angle ATS = Angle ABC
side AS = side AC
Angle SAT = Angle CAB
Angle AST = Angle ACB
Side AT = Side AB
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a guy wire runs from the top of a cell tower to a metal stake in the ground. rashon places a 6-foot tall pole to support the guy wire. after placing the pole, rashon measures the distance from the stake to the pole to be 4 ft. he then measures the distance from the pole to the tower to be 9 ft. find the length of the guy wire, to the nearest foot.
The length of the guy wire, to the nearest foot is 23 feet.
How to calculate the length of the guy wire?Based on the information provided, we can logically deduce that triangle ABE (ΔABE) is similar to triangle (ΔCDE) and the following parameters about the geometric figures;
CD = 6 ft.DE = 4 ft.BD = 9 ft.Additionally, the corresponding sides of similar triangles are equal;
AB/CD = BE/DE
AB/6 = (9 + 4)/4
AB/6 = 13/4
AB = 19.5 feet.
By applying Pythagorean' theorem, side AE is given by:
AE = √(AB² + BE²)
AE = √(19.5² + 13²)
AE = 23.44 ≈ 23 feet.
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Directions: Solve for.x. Round all answers to the nearest tenth.
11
X
31°
X =
The solution is, The value of x is 21.4.
What is right-angle triangle?A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangle triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and other angles of the right triangle.
here, we have,
The height of the right-angle triangle is 11. The hypotenuse of the right-angle triangle is x.
The measure of the angle opposite to height is 31°.
The sine of an angle is the ratio of height to the hypotenuse.
Therefore,
sin 31° = height/hypotenuse
sin 31° = 11/x
Multiply x with both sides:
x sin 31° = 11
Divide sin 31° with both sides:
x = 11/ sin 31°
x = 21.35
x ≈ 21.4 units
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what is rhombus angle sum
Answer:
360 degrees
Step-by-step explanation:
I remember learning this in Math class. The rhombus angle sum will make 360 degrees.
A politician wants to know what percentage of the voters supports her position on the issues of forced busing for integration. What size voter sample should be obtained to determine with 90% confidence the support level to within 4%?
The politician should obtain a sample of at least 602 voters to estimate the proportion of voters supporting her position on forced busing with a 90% level of confidence and a 4% margin of error.
What is the proportion?
A proportion is two ratios that have been set equal to each other; a proportion is an equation that can be solved. When I say that a proportion is two ratios that are equal to each other, I mean this in the sense of two fractions being equal to each other. For instance, 5/10 equals 1/2.
To determine the sample size needed to estimate the proportion of voters supporting a certain position within a certain margin of error and level of confidence, we can use the following formula:
n = (Z² * p * (1 - p)) / E²
where:
n is the sample size
Z is the z-score corresponding to the desired level of confidence (in this case, 90%, which corresponds to a z-score of 1.645)
p is the estimated proportion of voters supporting the politician's position (we don't have an estimate, so we'll use 0.5, which maximizes the sample size and provides the most conservative estimate)
E is the desired margin of error (in this case, 4%, which is equivalent to 0.04)
Substituting the values given, we get:
n = (1.645² * 0.5 * (1 - 0.5)) / 0.04²
n = 601.5625
We need to round up to the nearest whole number since we can't have a fractional sample size, so the minimum sample size needed is 602 voters.
Therefore, the politician should obtain a sample of at least 602 voters to estimate the proportion of voters supporting her position on forced busing with a 90% level of confidence and a 4% margin of error.
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Calculate the standard deviation of a set of seventeen numbers described by Σx=272 Σx² = 11849
The standard deviation of a set of seventeen numbers described by Σx=272 Σx² = 11849 is 21.
What is Standard deviation?The term "standard deviation" refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
We have Σx=272 and Σx² = 11849.
n= 17
So, the Variance of the Data
= Σx²/n - (Σx/ n)²
= 11849 / 17 - (272/17)²
= 697 - 256
= 441
Then, the Standard deviation is
= √Variance
= √441
= 21
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The function f(x) = x + 5 represents the length of a rectangle, and the function g(x) = 7x − 2 represents the width of the rectangle. What is the area of the rectangle if x = 3? 56 27 285 152
Answer: 152
Step-by-step explanation:
Length: f(x) = x+5
Width: g(x) = 7x-2
Area: A= f(x) *g(x)
A= (x+5)(7x-2)
= 7x^2 -2x + 35x -10
= 7x^2 +33x -10 // Substitute 3 in for x
=7(3)^2 +33(3) -10
=7(9) +99 -10
=63+99-10
=152
Answer:
152
Step-by-step explanation:
took the test xx
