Answer:
X = 2
Because x means our answer and the answer to 1 + 1 is 2!
Answer:
2
Step-by-step explanation:
1+1=2
x=2
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]
Re-write the quadratic function below in Standard Form
y=−2(x−8)(x−2)
y = -2(x - 8)(x - 2)
y = -2(x² -2x -8x +16)
y = -2(x² - 10x + 16)
y = -2x² + 20x - 32
Answer:
y= −2x^2+20x−32
Step-by-step explanation:
y = −2(x−8)(x−2)
= - 2(x^2 - 10x +16)
= - 2x^2 - (-10x)-2. 16
= - 2x^2 +20x - 32
What is the factor of x² 36?.
The factors or multiples of the algebraic expression, x² - 36 are (x-6) and (x+6) .
Factorization of algebraic expressions is defined as the process of finding the factors of an expression which refers to finding two or more expressions whose product is equals to that expression. Some Identities which are used to Factorize Algebraic Expressions,
(a+b)² = a² + b² + 2ab
(a - b)² = a² + b² - 2ab
a² - b² = (a+b)(a -b) etc.
We need to factorise, p(x) = x² − 36.
The algebraic expression, p(x) can be factorised by using property, a² - b² = (a+b)(a-b). So, it can be written as x² - 6², comparing it with a² - b² , here a = x,
b = 6. Hence, (x² − 36) = (x+6)(x−6). Therefore, the required factors are (x+6)(x−6).
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HELP ASAP PLEASE!!!!!
The range in the following question is the set of all real numbers from 0 to 200.
What is range?In statistics, the range of a dataset is the difference between the maximum and minimum values, which is the result of subtracting the sample maximum and minimum values.Expressed in the same units as the data.A statistical range for a given data set is the difference between the highest and lowest values. For example, if the given data set is {2,5,8,10,3}, the range is 10 − 2 = 8. Therefore, the range can also be defined as the difference between the highest observed value and the lowest observed value. .In range statistics, range is defined as the difference between the maximum and minimum numbers in the dataset. for example: If records are specified (2, 4, 6, 8, 12), the range is 12 - 2 = 10.To learn more about range from the given link:
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Find the average rate of change on the interval - 1≤ x ≤ 4
for the equation y= x*2+ 4x+1.n no
The average rate of change on the interval - 1≤ x ≤ 4 for the given equation is 7.4
What is Quadratic equation ?
Quadratic equation can be defined as the equation which is in the form of ax^2+bx+c = 0 .
Given to find the average rate of change on the interval -1<= x <= 4
for the equation y = x^2+4x+1
put x = -1 in the equation y = x^2+4x+1
y(-1) = -1*-1 + 4(-1) + 1
= -1-4+1
= -4.
y(4) = 4*4 + 4*4 + 1
= 16 + 16 + 1
=33
average rate = y(-1) - y(4) / -1-4
= -4-33 / -5
= 37 / 5
= 7 . 4
Hence, The average rate of change on the interval - 1≤ x ≤ 4 for the given equation is 7.4
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The table shows the number of cups of granola that a bakery uses for every 10 batches of energy bars. Mike says that the bakery uses more granola to make 30 batches of Raisin Nut energy bars than to make 15 batches of Honey Almond energy bars
pls help
Mike is correct as to make 30 batches of Raisin Nut energy bars, the bakery will use 84 cups of granola and to make 15 batches of Honey Almond energy bars, the bakery will use 63 cups of granola.
Calculation of the number of cupsFor raising, we have = 28(3) = 84 cups
For honey almond, we have = 4.2(1.5) = 63 cups
To make 30 batches of Raisin Nut energy bars, the bakery will use 84 cups of granola and to make 15 batches of Honey Almond energy bars, the bakery will use 63 cups of granola which is why Mike is considered to be correct.
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The full question is:
The table shows the number of cups of granola that a bakery uses for every 10 batches of energy bars.
Type of Energy Bar Amount of Granola (cups)
Raisin Nut 28
Honey Almond 42
Cranberry Walnut 36
Mike says that the bakery uses more granola to make 30 batches of Raisin Nut energy bars than to make 15 batches of Honey Almond energy bars.
Is Mike correct? Use the drop-down menus to explain.
Mike is Correct/Incorrect . To make 30 batches of Raisin Nut energy bars, the bakery will use 84/28/42/56 cups of granola. To make 15 batches of Honey Almond energy bars, the bakery will use 126/84/63/42 cups of granola.
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.
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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Point A
Support
3.0m
2.5m
Figure 5
Weight of girl = 600 N
Weight of diving board = 800 N
Calculate the total clockwise moment of the weight of the diving board and the weight of the girl at about Point A. Give the unit.
Use the correct equation from the Physics Equation Sheet.
Answer: The total clockwise moment of the weight of the diving board and the weight of the girl at about Point A can be calculated using the equation:
moment = force x distance
In this case, the force is the weight of the diving board (800 N) and the weight of the girl (600 N) and the distance is the distance from Point A to the support (2.5m).
So the total clockwise moment is:
moment = (800 N + 600 N) x 2.5 m = 1400 N x 2.5 m = 3500 Nm
The unit for moment is Newton-meter (Nm).
It's worth noting that in this problem, the clockwise moment is calculated by considering the force and the distance in the same direction, and the moment is positive, if the force is acting in a clockwise direction.
Step-by-step explanation:
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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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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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
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.
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:
B. Use an area model to find an expression equivalent to (5k-3) (2k-1).
C.use an area to write a product that is equivalent to x^2-3x-4.
An expression equivalent to (5k-3) (2k-1) is k (10 k - 11) + 3.
How do you write equivalent?If the numerator and denominator are both the same quantity, then equivalent fractions may be stated by multiplying or dividing by that amount. These fractions are simplified because of this, which causes them to equal one.expression equivalent means add any like terms together, combining x-terms with x-terms and constants with constants, on either side of the equation. The x-term is often put before constants when arranging the terms in the same sequence. The two phrases are equal if each of the terms in both of them is the same.simplify | (5 k - 3) (2 k - 1)
Results:
1\/40 (20 k - 11)^2 - 1\/40
k (10 k - 11) + 3.
An expression equivalent to (5k-3) (2k-1) is k (10 k - 11) + 3.
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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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How to change x² + 10x-8 to be written in the form (x + a)² + b
Answer:
[tex]\left(x+5\right)^2- 33=0[/tex]
See explanation below for steps
Step-by-step explanation:
We are given the quadratic equation
[tex]x^2+10x-8 = 0[/tex]
and asked to rewrite it in the form
[tex]\left(x+a\right)^2=b[/tex]
Move 8 to the right side:
[tex]x^2+10x=8[/tex]
[tex]\mathrm{Rewrite\:in\:the\:form}\:x^2+2ax+a^2[/tex]
[tex]\mathrm{Solve\:for\:}a,\:2ax=10x:\quad a=5[/tex]
[tex]\mathrm{Add\:}a^2=5^2\mathrm{\:to\:both\:sides}[/tex]
[tex]x^2+10x+5^2=8+5^2[/tex]
[tex]x^2+10x+5^2= (x+5)^2[/tex][tex]8+5^2 = 8 + 25 = 33[/tex]So we get the original equation as:
[tex]\left(x+5\right)^2=33[/tex]
which can be rewritten as
[tex]\left(x+5\right)^2- 33=0[/tex]
Here a = 5, b = -33
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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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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Need help!
2) m
4) m
Please guide me through how to do this.
Answer:
∠ BAS = 122° , ∠ N = 89°
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
(2)
∠ BAS is an exterior angle of the triangle, then
19x + 8 = 6x + 11 + 75
19x + 8 = 6x + 86 ( subtract 6x from both sides )
13x + 8 = 86 ( subtract 8 from both sides )
13x = 78 ( divide both sides by 13 )
x = 6
Then
∠ BAS = 19x + 8 = 19(6) + 8 = 114 + 8 = 122°
--------------------------------------------------------------
(4)
11x + 31 is an exterior angle of the triangle , so
11x + 31 = 5x - 4 + 10x - 1
11x + 31 = 15x - 5 ( subtract 15x from both sides )
- 4x + 31 = - 5 ( subtract 31 from both sides )
- 4x = - 36 ( divide both sides by - 4 )
x = 9
Then
∠ N = 10x - 1 = 10(9) - 1 = 90 - 1 = 89°
 what is 65% of 31 
Answer: 20.15
Step-by-step explanation:
First, make the percentage into an actual number. So divide 65 by 100 (because percent is based off of 100) which gives you 0.65. Then multiply 0.65 by 31 which gives you 20.15. Have a good day ;)
What is the slope of the line y 2x − 10 *?.
So, the slope of the given line is 2.
The slope of a line is a measure of the steepness of the line and is represented by the letter "m" in the equation of a line: y = mx + b. The slope is calculated by the ratio of the change in y to the change in x.
The equation of a line y = 2x - 10 is already in the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
In this case, the slope of the line is m = 2.
This means that for every unit increase in x, y will increase by 2 units. If we graph this line, we can see that it has a steepness of 2, which means it has a positive slope. A positive slope indicates that the line increases as we move to the right and a negative slope indicates that the line decreases as we move to the right.
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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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What is the multiplicative inverse of minus 3 upon 7 raise to minus 9?.
The multiplicative inverse of 'a' is assure by a-1 or 1/a. on other side, the multiplicative inverse of a number is present as 1 divided by the number.
The multiplication inverse of 3/7 is 7/3.
hence, the multiplicative inverse of -3/7 is -7/3 power 9.
The multiplicative inverse is defined as the reciprocal of a given number. It is used to define mathematical expressions.
The word 'inverse' concludes something contrary/opposite in effect, order, position. or direction. A number when multiplied by its multiplicative inverse results in 1.
The multiplicative inverse approach is called that the multiply of a number and its reciprocal is 1.
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3/4 + ( 1/3 1/6) - ( - 1/2 )
the space between the 1/3 and 1/6 is supposed to be division .
The space between the 1/3 and 1/6 is 3.83.
What is division?Division is a mathematical operation that involves dividing one number (the dividend) by another number (the divisor) to determine the quotient. Division can be used to solve problems involving fractions, decimals, and percentages. It is also used to simplify complex equations and to break down large numbers into smaller, more manageable parts. Division is one of the four basic operations of arithmetic, along with addition, subtraction, and multiplication.
To calculate this, first add 3/4 and 1/3 to get 1.08, then add 1/6 to get 1.14, then subtract 1/2 to get the final answer of 3.83.
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PLS HELP dont worry about the stuff on top!!
Answer:
Where is the statement?
Step-by-step explanation:
A day on Saturn is 42.6% of a day on earth. How many hours are there on Saturn?
Answer:
10.224 hours
Step-by-step explanation:
1 day on Earth = 24 hours
1 day on Saturn = 42.6% of 24 hours
42.6% = 0.426
24 x 0.426 = 10.224 hours
So, there are 10.224 hours on Saturn.
Answer:
Step-by-step explanation: Using data from NASA's Cassini spacecraft, researchers believe they solved a longstanding mystery of solar system science: the length of a day on Saturn. It's 10 hours, 33 minutes, and 38 seconds. i hope this helps
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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Please help asap me will give brainliest
The required True options for the give equation are 2 and 3.
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
According to question:We have,
y = [tex]\frac{2x+5}{x-1}[/tex]
1) The function is undefined foe x= -5/2
It is false because at x= -5/2 function is defined equal to 0.
2) The point (0, -5) lie on its graph,
To check it, Value of x in equation
y = 2(0)+5/0-1 = -5
So, this option is true.
3) The line x = 1 is asymptote
For asymptote, denominator of function must be zero.
x - 1 = 0
x = 1
It is true
4) The function is undefined foe x= -1
It is false because at x= -1 function is defined equal to -3/2
Thus, True options are 2 and 3.
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Find the value of y
Answer:
115
Step-by-step explanation:
