Answer:
40%
Step-by-step explanation:
There are 5 options to roll: 1, 2, 3, 4, and 5.
This means you have a 1 out of 5 chance of rolling each number.
This question is asking for 1 AND 2, not just one number. So, we have a 2 out of 5 chance of rolling that, because 2 options are acceptable instead of just one number.
I'm not sure which form you are looking for, but 2 out of 5 is the same as saying 2/5. Most probability solutions are wanted as a percentage. To find that just solve 2/5, which is 0.4. Move the decimal to the right twice, and that is a 40% chance.
Select the situation modeled by the following inequality.
17+1.5x>40
A fruit bouquet artist charges $1.50 for each piece of fruit in a bouquet, x, plus an additional $17 for the basket and decorations. Customers receive free delivery when their order is over $40.
B.
A 17-foot tall red maple tree is growing at a rate of 18 inches per year beneath power lines that hang 40 feet off the ground. The power company will have to prune the tree within x years, before it reaches the power lines.
C.
A recreation center charges a monthly fee of $17 and an additional $1.50 per visit. To stay within her monthly budget, Anne can spend at most $40 on rec center fees after x visits.
D.
Mark is training for a marathon. He currently runs 17 miles a week and plans to increase this amount by 1.5 miles each of the next x weeks until he has an average weekly mileage of at least 40.
Answer:
A fruit bouquet artist charges $1.50 for each piece of fruit in a bouquet, x, plus an additional $17 for the basket and decorations. Customers receive free delivery when their order is over $40.
Step-by-step explanation:
$1.50 represents the cost of each piece of fruit, but we don't know how many fruits are included in the basket, so let x be the number of fruit. That total must be added to the cost of the basket.
If consumers receive free delivery for orders over $40, then 17+1.50x must be greater than $40.
When a number is put into a machine, a different number comes out. If 5 goes in, 2 comes out. If 7 goes in, 4 comes out. If 8 goes in, 5 comes out. If 10 goes in, what number should come out? A 3 B 7 C 9 D 10
Order of addends has no bearing on the amount according to the commutative property of addition. 6 added value.
How to find the calculation?The machine below produces a different number when a number is entered. 9 is produced if 3 is inserted. If 6 is put in, 12 will come out. If 7 is put in, 13 will come out.
Order of addends has no bearing on the amount according to the commutative property of addition.
Changing the addends' order does not alter the amount, according to the commutative property of addition.
Every output number, as we can see, adds a value of 6 to the corresponding input number.
3 + 6 = 9.
6 + 6 = 12.
7 + 6 = 13.
The Complete Question.
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What is the difference between largest 8 digit number and smallest 7 digit number?.
The difference between the largest 8-digit number and the smallest 7-digit number is 98999999.
The aim is to find the smallest 7-digit and largest 8-digit numbers, and then we need to determine the difference between these two values.
Let's start by finding the smallest 7-digit number.
We know that 0 is the smallest digit that can not be used in the highest place value, so we will consider the next smallest digit; that is, 1 therefore it can be used in the highest place value.
Thus, we can create the required 7-digit smallest number with 0 and 1.
Hence, the smallest 7-digit number is 1000000.
Now, we will discover the largest 8-digit number.
As we know, the largest digit is 9, which can be used anywhere. So, we will form the largest 8-digit number with the digit 9.
Thus, the largest 8-digit number is 99999999.
Now, find the difference between these two values.
So, we can determine the difference between the smallest 7-digit and the largest 8-digit numbers by subtracting the smallest from the largest.
Thus, we get,
⇒99999999−1000000
⇒98999999
Hence, 98999999 is the difference between the smallest 7-digit and the largest 8-digit numbers.
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An element with a ma of 300 gram decay by 5. 4% per minute. To the nearet tenth of a minute, how long will it be until there i 110 element remaking
The element will be gone in approximately 10.9 minutes.
We can calculate this by using the formula:
Time = (log(Initial mass / Final mass)) / (log(1 - decay rate))
Time = (log(300 / 110)) / (log(1 - 0.054))
Time = 10.9 (rounded to the nearest tenth of a minute)
Therefore, The element will be gone in approximately 10.9 minutes.
A logarithmic function is a mathematical function that relates the logarithm of a number to its argument. The logarithm of a number (base 10) is represented by the log symbol (log 10) and the number being used as the argument. The inverse of this function is an exponential function, which relates the exponential of a number to its argument. Logarithmic functions are often used in mathematics and science to simplify and solve equations involving large exponents. They are also commonly used in finance, engineering, and other fields that involve large numbers.
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Time = (log(Initial mass / Final mass)) / (log(1 - decay rate))
Time = (log(300 / 110)) / (log(1 - 0.054))
Time = 10.9 (rounded to the nearest tenth of a minute)
What is the solution to the equation x^2 - 5x + 8 = -2?
what is the correct inequality
Answer:
Step-by-step explanation:
Find the value of y
Answer:
115
Step-by-step explanation:
What is an example of a linear equation in two variables in standard form?.
The example of a linear equation in two variables in standard form is 3x + 2y = 6
A linear equation in two variables in standard form is of the form:
Ax + By = C
where A, B, and C are constants and x and y are variables.
An example of a linear equation in two variables in standard form is:
3x + 2y = 6
This equation can be written in standard form by first subtracting 6 from both sides,
3x + 2y -6 = 0
and then dividing both sides by the greatest common factor of the coefficients,
(3/1)x + (2/1)y = 6/1
This gives the standard form of the equation:
3x + 2y = 6.
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Calculate the concentration in grams per 100 mL for the
following solutions:
a) 10 g of chocolate powder in 50 mL of hot water
b) 3 g of sugar in 300 mL of water
c) 5 g of maple syrup in 25 mL of water
1:6 G
Answer:
How do you calculate grams per 100mL concentration?
The concentration is the amount divided by the volume it is dissolved in. For example you might dissolve 0.9g of sodium chloride in 100mL of water. Sometimes this is referred to as 0.9% w/v since it is 0.9g weight divided by 100mL volume and “w/v” stands for weight per volume.”
Solubility≡62.5⋅g⋅100⋅mL−1..
Explanation:
☯We want Concentration=Mass of solute100 mL volume of solvent.
We make the reasonable assumption that the volume of solution is equal to 40⋅mL.
And so we set up the quotient.
25⋅g(40100)⋅mL=
☯In order to answer this question, you'll want to make use of the fact that pure water under standard conditions has a density of 1 g/ml. This means that 50 ml of pure water would have a mass of 50 grams. Therefore, we know that our sample has a 25 grams of sugar, in order for the total mass to be 75 grams.
☯The question doesn't specify what unit of concentration they prefer, so you can use the easiest, which is (mass of solute)/(volume of solvent) which in this case is 25g/50ml or .5 g/ml. If you need to write this in terms of molarity, you can use the molar mass of sugar to convert the 25g into moles and divide by .05 L, as molarity is given by (moles of solute)/(volume of solvent in liters).
☯Sugar solutions or "syrups" are used extensively in canning, and sometimes referred to as "heavy" or "light" syrups.
The terms heavy and light are commonly used in two different ways. We refer to weight when we say that an adult is heavier than a child. On the other hand, something else is alluded to when we say that one syrup is heavier than another. A teaspoon of heavy syrup would obviously weigh less than a gallon of light syrup, but heavy syrup is heavier in the sense that a given volume weighs more than the same volume of light syrup. It's interesting that a given volume of "heavy cream" actually weighs less than "light cream" (in this case, "heavy" refers to the thickness, or percent milk fat).
In "Molecular Gastronomy", Herve This (pronounced Thees) points out[2] that more precision is needed in canning recipes. Some call a heavy syrup 1 cup sugar to 2 cups water (a ratio of 0.5:1) while others refer to a medium syrup as 3-1/4 c sugar to 5 c water (a ratio of 0.65:1). The latter is actually heavier, or denser. Which is better for canning?
Step-by-step explanation:
The question is in the photo for you to answer.
Answer:50
Step-by-step explanation:
Has all sides equal and all angles are right angles?.
A shape that has all sides equal and all angles right angles is called a square.
In a square, all four sides are congruent (equal in length) and all four angles are right angles (90 degrees).
A square is also a special case of a rectangle, which is a four-sided polygon with opposite sides parallel and equal in length. In rectangle, all angles are right angles (90 degrees).
A square is also special case of a rhombus, which is a four-sided polygon with opposite sides parallel and equal in length, but all angles are not necessarily right angles.
A square is also special case of a parallelogram, which is a four-sided polygon with opposite sides parallel and equal in length, but all angles are not necessarily right angles.
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a quadratic function with vertex (1,3) and passes through the point (3,5). its an equation is f(x)=a(x-1)^2+3 what ls the value of a?
The value for a in quadratic function a(x-1)²+3 is obtained as a = 2.
What is a quadratic function?
A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. It is also known as the polynomial of degree 2 since the greatest degree term in a quadratic function is of second degree.
The vertex of the quadratic function is (1,3).
The line passes through the points (3,5).
The equation is in the form - a(x-1)²+3
It is known that the vertex form of a quadratic function is f(x) = a(x-h)² + k, where (h,k) is the vertex of the parabola.
So it can be written -
f(x) = a(x-1)² + 3
Substitute the value of (1,3).
f(1) = a(1-1)² + 3 = 3
And for the point (3,5) the equation will be -
f(3) = a(3-1)² + 3 = 5
Set up a system of equations -
a(1-1)² + 3 = 3
a(3-1)² + 3 = 5
Solving for a in these equations -
a = 2
Therefore, the value of a is obtained as 2.
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The survey found that women's Heights are normally distributed with a mean of 63. 9 in and standard deviation 2. 2 in the survey also found that men's Heights are normally distributed with mean 67. 6 in. And standard deviation 3. 5 in considered and executed jet that seats 6 with a doorway height of 56. 4 in.
a)what percentage of adult men can fit through the door without bending?
b) what's a doorway height would allow 40% of men to fit without bending
Using the given information, we can calculate the z-score as z = (56.4 - 67.6) / 3.5, which gives us a z-score of -2.3. This means that 2.3 standard deviations below the mean of adult men's heights is the doorway height of 56.4 inches. Since the area under the normal curve from -∞ to -2.3 is 16%, this means that 84% of adult men can fit through the door without bending.
Using the given information and the desired percentage, we can calculate the z-score as z = (x - 67.6) / 3.5, where x is the doorway height. Solving for x, we get x = 57.6 inches. Therefore, a doorway height of 57.6 inches would allow 40% of adult men to fit through without bending.
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Why is inverse tan of infinity?.
A 90-degree tan is referred to as infinity. Thus, 90 degrees is the value for tan-1.
It is given that, tan⁻¹∞
We have to find the value of tan⁻¹∞.
Now,
The value of tan⁻¹∞ is π/2.
By using the trigonometric concepts, we can find the value of tan⁻¹∞
we already know that, tan π/2 = ∞
we have to apply tan⁻¹ on both sides
we get,
tan⁻¹ tan π/2 = tan ∞
π/2 = tan⁻¹∞
Hence, the value of tan⁻¹∞ is π/2.
The trigonometric function "tangent" is represented by the inverse function "inverse tan." The opposing side of the right triangle is divided by the adjacent side, and this relationship is utilized to compute the angle by using the tangent ratio of the angle. All inverse trigonometric functions must be named with the prefix "arc," so inverse tangent is abbreviated as "arctan."
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the zeros of my parabola are (-6,0) and (-2,0)
what am i?
You are a parabola with vertex at (x,y) = (-4,0) and a focus at (x,y) = (-4,3).
What is parabola?A parabola is a mathematical curve that is symmetrical in shape and is often described as an upside-down U. It is a two-dimensional, closed curve and is an important part of conic section geometry. A parabola has a single vertex, which is the highest or lowest point of the parabola. It can also be thought of as the focus of the parabola.
The zeros you have listed are the x-intercepts, which means that your equation is of the form y = ax^2 + bx + c, and your a value is negative because your parabola opens downwards. You can determine the other coefficients by looking at the vertex and focus coordinates.
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*URGENT*
I’ve been doing this problem over and over but i have a feeling i’m wrong, please help!!
[tex]\it tan60^o=\dfrac{AB}{BC} \Rightarrow \sqrt3=\dfrac{AB}{50} \Rightarrow AB=50\sqrt3\approx50\cdot1,732\approx87\ m[/tex]
What is the rate of return when 10 shares of Stock
A, purchased for $15/share, are sold for $210? The
commission on the sale is $6.
Rate of Return =[?]%
Give your answer as a percent rounded to the
nearest tenth. (already tried 36%)
Set up a ratio: 150/100 = 210/x, or your investment gave you a return of 36% of the 150 you invested.
How do I calculate rate of return?The investment's initial value is subtracted from its current value, which is then divided by the investment's original value to determine a simple rate of return.
The calculation is as follows in light of the facts above:
The entire sum should be
30 × 15
= $450
= 210 - 6
= $204
The total amount should be because it was sold for $210 plus a $6 commission.
Right now, rate of return is
= (204 - 450) ÷ 204×100
= 16.58%
You spent $150 to purchase 10 shares at a price of 15%, or 36%. You made 54$ after subtracting the commission of $6 and selling it for 210$.
Set up a ratio: 150/100 = 210/x, or your investment gave you a return of 36% of the 150 you invested.
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What is the domain and range of least integer function?.
For least integer function,
domain : set of all real numbers
range : set of all integers
We know that the least integer function of any real number p is the least integer which is greater than or equal to the given number p.
The mathematical definition of ceiling function is :
f(x) = minimum { a ∈ Z ; a ≥ x }
where Z is the set of integers.
A least integer function is also known as the ceiling function.
The symbol to represent least integer function is ⌈ ⌉.
We can write least integer function for x as:
⌈x⌉ or ceil (x)
From above definition of ceiling function we can say that the domain of least integer function is the set of all real numbers whereas the range of is the set of all integers.
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Write the equation of a line in slope intercept form that meets these two criteria
1. It does not pass through quadrant 1
2. It contains the point (-3,1)
find the acute angle theta in degrees if tan theta equals1.73205
The value of the acute angle theta is 59.99 degrees
How to determine the acute angleFrom the question, we have the following parameters that can be used in our computation:
tan theta equals1.73205
Express teh equation properly
So, we have the following representation
tan theta = 1.73205
Take the arc tan of both sides
theta = tan^-1(1.73205)
Evaluate
theta = 59.99
HEnce, the acute angle is 59.99
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Find all values of p so that px^2 + 40x + 16 is a perfect square.
For a quadratic of the form px^2 + 40x + 16 to be a perfect square, it must be able to be written in the form (mx + n)^2 for some real numbers m and n.
Expanding (mx + n)^2 gives:
(mx + n)^2 = m^2x^2 + 2mnx + n^2
Comparing this to the given quadratic, we can see that:
m^2 = p
2mn = 40
n^2 = 16
Solving for m and n, we find that:
m = ±√p
n = ±4
Therefore, in order for the quadratic to be a perfect square, the square root of p must be rational, and the value of p must be one of the following:
p = 0, 1, 16
So the possible values of p that make the quadratic a perfect square are 0, 1, 16.
The triangle below is isosceles. Find the length of side
x to the nearest tenth.
Answer:
x=2.3
Step-by-step explanation:
Isosceles triangle means both sides are the same length, triangle is also right meaning you can plug values into Pythagorean theorem ([tex]a^2+b^2=c^2[/tex])
[tex]x^2+x^2=\sqrt{11}^2 \\2x^2=11\\x=\sqrt{\frac{11}{2} } \\x=2.345...\\x=2.3[/tex]
Assuming all my math is right, this is your answer
PLS HELP dont worry about the stuff on top!!
Answer:
Where is the statement?
Step-by-step explanation:
How to solve 2 equations with 2 variables using calculator?.
You can solve 2 equations with 2 variables using calculator in equation mode.
To solve a system of two equations with two variables using a scientific calculator, you can use the following steps (based on CASIO fx-991ES PLUS):
First press the 'mode' button and then press '5' corresponding to equations.
Now press '1' corresponding to a linear equation in two variables of format anX + bnY = cn. Now a matrix appears, each row correspond to each equation. The first column represent the coefficient of X, second column represent the coefficient of Y and third column, the coefficient. Note that the equation should be of the format mentioned before.
Now press '=' to get the solution. On the first press you get X and on second press, you get the value of 'Y'.
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Un equipo de cuatro personas participó en una carrera de revelo de 400 yardas cada miembro del equipo corrió la misma distancia el equipo completo a la carrera en 53.2 segundos cuál es el tiempo promedio que corrió cada persona
Un equipo de cuatro personas participó en una carrera de relevo de 400 yardas, lo que significa que cada miembro del equipo corrió una distancia de 400 yardas. El equipo completo completó la carrera en 53.2 segundos. Para calcular el tiempo promedio que cada persona corrió, debemos dividir el tiempo total de la carrera entre el número de personas en el equipo. En este caso, se divide 53.2 segundos entre 4 personas, lo que da un tiempo promedio de 13.3 segundos por persona.
Is X² 2x 3 a polynomial?.
The given expression x² + 2x + 3 is a polynomial.
In the math term expression is defined as an expression that is made up of variables and constants, along with algebraic operations
Here we have given the expression that can be written as x² + 2x + 3 and here we need to identify the given expression is polynomial or not.
AS we all know that the term polynomial means an expression that consists of variables (or indeterminate), terms, exponents and constants
And we have also know that the polynomials can be identified by noting which expressions contain only the operations of addition, subtraction, multiplication, and non-negative integer exponents.
And the non-polynomial expressions will be the expressions which contain other operations.
Based on these rule we have identified that the given expression is an polynomial.
Complete Question:
Is the expression x² + 2x + 3 is polynomial or not?
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What is the type of polynomial 2x2 3x 9 expressing area of the garden?.
The expression 2x2 3x 9 area of the garden is a quadratic polynomial.
2x2 contains a power value and 3x contains the constant x and 9 is the integer so this is the Quadratic Polynomial. When a variable term in the polynomial expression has a highest power of 2, the polynomial is said to be quadratic.
Only the exponent of the variable is taken into account when determining a polynomial's degree. It is not taken into account how strong a coefficient or constant term is.
A quadratic equation or quadratic function is created when a quadratic polynomial is equal to 0. The roots or zeros of the quadratic equation are the name given to the solutions of such an equation.
The capability to derive a number of significant inferences from the analysis of the discriminant is an additional advantage of this approach.
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Full Question: What is the type of polynomial 2x^2-3x-9 expressing area of the garden?
(a) linear polynomial
(b)Quadratic polynomial
(c) cubic polynomial
(d) constant polynomial
Are the following triangles congruent? Why or why not? Yes, AAS Yes, SAS Yes, SSS No, there is not enough information
The following triangles are congurent
Yes SAS
For what value of k the following pair of linear equations has infinitely many solutions 10x 5y?.
The 2 equations will have infinitely many solutions if k equals 10.
Here we have
10x + 5y − (k−5) = 0 and 20x + 10y − k = 0
Since these 2 are already in the standard form
a₁x + b₁y + c₁ = 0
and
a₂x + b₂y + c₂ = 0
we don't have to make any changes to them
According to the law, an equation has infinitely many solutions if
a₁/a₂ = b₁/b₂ = c₁/c₂
here,
a₁ = 10, b₁ = 5, and c₁ = - k + 5
and,
a₂ = 20, b₂ = 10, and c₂ = - k
Hence, we get
10/20 = 5/10 = ( - k + 5)/(-k)
or, (k - 5)/k = 1/2
or, 2k - 10 = k
or, k = 10
Hence the 2 equations will have infinitely many solutions if k is equal to 10.
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Complete Question
For what value of k does the following pair of linear equations have infinitely many solutions?
10x + 5y − (k−5) = 0 and 20x + 10y − k = 0
Please help me again
Answer:
x=83
Step-by-step explanation:
All angles of a triangle add up to 180 so:
53+44=97
180-97=83
Answer:
[tex]\huge\boxed{\sf x = 83\°}[/tex]
Step-by-step explanation:
Statement:The sum of internal angles of a triangle equal 180 degrees.Solution:So,
x + 53 + 44 = 180
x + 97 = 180
Subtract 97 from both sidesx = 180 - 97
x = 83°[tex]\rule[225]{225}{2}[/tex]