Answer:
[tex]\text{c. }r>0[/tex]
Step-by-step explanation:
Define a positive number by all real numbers greater than, but not including, zero.
The inequality that represents this is [tex]\boxed{\text{c. }r>0}[/tex]
*Note: The sign [tex]\geq[/tex] represents including the value following it. However, we do not want to include zero in our set, hence [tex]r>0[/tex]
Answer:
r > 0
Step-by-step explanation:
a. r≤ 0 the equation is represented as r value is equal to zero or less than zero. So r can be zero or negative since its saying less than zero.
b. r≥ 0 the equation is represented as r value is greater than but equal to zero. So r can be zero and nonpositive.
c. r> 0 the equation is represented as r value greater than 0 which makes the answer positive.
d. r≤ ∞ the equation is represented as r value is equal to all positive integers but all negative integers.
e. r< ∞ the equation is represented as r value is all negative numbers since the inequality sign is less than
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A piece of hematite contains 72% iron. If the hematite weighed 160g, how much iron would there be?
Step-by-step explanation:
160g=100%
72%=72/160*100
=45
You buy 8.25 ounces of almonds and 7.5 ounces of cashews. You combine the nuts and divide them equally into 9 bags. How many ounces are in
each bag?
Options:
1.75 ounces
9.5 ounces
15.5 ounces
17.5 ounces
No. of many ounces are in each bag will be 1.75 ounces
What is the division of decimals?Unlike the division of natural numbers, the division of decimals is fairly straightforward. To divide decimal numbers by various sorts of numbers, such as whole numbers, decimal numbers, fractions, the powers of ten, etc., we can employ a variety of techniques. You may find answers to division of decimals quizzes and more practise problems in this article.
Dividing decimals is equivalent to dividing whole numbers, except when doing so, we take into account the decimal point as the final answer. The following are many options for splitting decimals:
Dividing by whole numbers with decimalsA decimal number divided by another decimal numberDecimal division using the powers of 10, specifically 10, 100, and 1000To be learn more about decimals refer to:
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Triangle JKL has vertices J(6, -1), K(10,-2), and L(5, -3). Determine the
coordinates of the vertices of the image after a translation along (0,4)
and a reflection in the y-axis.
J''(-6, 3) , K''(-10, 2) , and L''(-5, 1) those exists the vertices after the transformations.
What is meant by coordinates of the vertices?[tex](x_1,y_1), (x_2,y_2),[/tex] and [tex](x_3,y_3)[/tex] are the coordinates of a triangle's vertices [tex](x_3,y_3)[/tex]. The line connecting the first two is divided in the proportion l:k, and the line connecting this point of division to the opposing angular point is divided in the proportion m:k+l.
When you write coordinates as (x, y), it means to write the x-axis point first and then the y-axis point. Some kids might be instructed to remember this by saying "along the corridor, up the stairs," which means they should follow the x axis first and then the y axis.
First do the first transformation, the translation.
J (6, -1 + 4), K (10, -2 + 4), and L (5, -3 + 4).
After adding, we get J'(6, 3) , K'(10, 2) , and L'(5, 1).
We Utilize those new coordinates to do the reflection in the y axis.
J''(6(-1), 3) , K''(10(-1), 2) , and L''(5(-1), 1).
After multiplying, we get J''(-6, 3) , K''(-10, 2) , and L''(-5, 1).
Those exists the vertices after the transformations.
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J''(-6, 3) , K''(-10, 2) , and L''(-5, 1) those exists the vertices after the transformations.
What is meant by coordinates of the vertices?[tex](x_{1}, y_{1}), (x_{2}, y_{2}) and (x_{3}, y_{3})[/tex] are the coordinates of a triangle's vertices . The line connecting the first two is divided in the proportion l:k, and the line connecting this point of division to the opposing angular point is divided in the proportion m:k+l.
When you write coordinates as (x, y), it means to write the x-axis point first and then the y-axis point. Some kids might be instructed to remember this by saying "along the corridor, up the stairs," which means they should follow the x axis first and then the y axis.
First do the first transformation, the translation.
J (6, -1 + 4), K (10, -2 + 4), and L (5, -3 + 4).
After adding, we get J'(6, 3) , K'(10, 2) , and L'(5, 1).
We Utilize those new coordinates to do the reflection in the y axis.
J''(6(-1), 3) , K''(10(-1), 2) , and L''(5(-1), 1).
After multiplying, we get J''(-6, 3) , K''(-10, 2) , and L''(-5, 1).
Those exists the vertices after the transformations.
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State the domain and range of the following function.
Answer:
Step-by-step explanation:
ur STUP1d
Use the information provided to write the standard form equation of each ellipse.
Vertices: (20,5) (-6, 5)
Co-Vertices: (7, 10) (7,0)
O (1-7)
+
(7-5)
25
=1
169
O (2+6)
169
+
(y+6)
25
1
(1-7)
+
= 1
25
169
(2-7)
(y-5)
+
= 1
81
25
Answer:
B
Step-by-step explanation:
Sean bakes 18 dozen chocolate cupcakes and 13 dozen vanilla cupcakes. About how many cupcakes did Sean bake? EXPLAIN now!!!
Sean baked 372 cupcakes in total.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given:
Sean bakes 18 dozen chocolate cupcakes,
and 13 dozen vanilla cupcakes.
There are 12 cupcakes in one dozen.
To find the number of cupcakes:
Using multiplication operation,
18 x 12 = 216.
13 x 12 = 156.
The number of cupcakes = number of chocolate cupcakes + number of vanilla cupcakes.
The number of cupcakes = 216 + 156
The number of cupcakes = 372
Therefore, the number of cupcakes are 372.
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For an outdoor concert by the city orchestra, concert organizers estimate that 17,000 people will attend if it is not raining. If it is raining, concert organizers estimate that 6000 people will attend. On the day of the concert, meteorologists predict a 70% chance of rain.
Determine the expected number of people who will attend this concert.
It is expected that _ people will attend the concert.
Answer: 11,900
Step-by-step explanation: Uh I think this is correct because 70% of the people who will not go to the concert will be 11,900. So 70% of 17,000 is is 11,900. 6,000 is a estimate. I hope this helps
Does the equation y = 5(2.3)* model exponential growth, exponential decay or neither?
Answer:
It models exponential growth
Step-by-step explanation:
Use the formula f(x)=a(1+r)^x where r is the growth rate, a is the principal value, and x is the length of time.
Since r would be equal to 2.3-1=1.3, this means a growth rate of 130%, which means the model models exponential growth since r>1.
3)
There are 27 coins in a bag made up of 20-cents and 50-cents. Given that
the total amount in the bag is $10.20, how many 20-cent coins are there in
the bag?
Answer:
A bag contains 25paise, 50 paise and Re 1 coins. There are 220 coins in all and the total amount in the bag is Rs.160. If there are thrice as many 1 Re. coins as there are 25 paise coins, then what is the number of 50 paise coins.
Step-by-step explanation:
Fill in the blank to make equivalent rational expressions.
Answer:
Step-by-step explanation:
a.we should Make their denominators the same.
16[tex]x^{8}[/tex]÷4x=4[tex]x^{7}[/tex]
b.molecule multiply 4[tex]x^{7}[/tex], 5·4[tex]x^{7}[/tex]=20[tex]x^{7}[/tex]
c.finally, we get it
the answer is 20[tex]x^{7}[/tex]
What is the equation of the line that passes through the point (6,-5) and has a
slope of 1/3?
Answer:
y = 1/3x - 7
Step-by-step explanation:
start with the point-slope form:
(y-y1) = m(x-x1)
substitute the values of (x,y) into the formula:
(y-(-5)) = 1/3(x-6)
y+5 = 1/3x - 2
now write in slope-intercept form:
y = 1/3x - 2 - 5
y = 1/3x - 7
Which is the sum of the 2 smallest angles in a right triangle?
O A. 30 degrees
OB. 45 degrees
O c. 90 degrees
O D. 180 degrees
O E. 360 degrees
The sum of the 2 smallest angles in a right angled triangle be [tex]90^{0}[/tex].
What is angle sum property of triangle?"The angle sum property of a triangle states that the sum of the angles of a triangle is equal to 180º."
What is right angled triangle?"A right angled triangle is a triangle with one of the angles as 90 degrees. A 90-degree angle is called a right angle, and hence the triangle with a right angle is called a right triangle."
As we know the sum of the three angles of a right angled triangle is 180 degrees.
<A + <B + <C = [tex]180^{0}[/tex]
We also know the right angled triangle have a 90 degrees angle among the three angles.
So the sum of the 2 smallest angles in a right angled triangle be
<A + <B + <C = [tex]180^{0}[/tex]
<A + <B = [tex]180^{0}[/tex] - <C
<A + <B = [tex]180^{0}-90^{0}[/tex]
<A + <B = [tex]90^{0}[/tex]
Hence, the sum of the 2 smallest angles in a right angled triangle be [tex]90^{0}[/tex].
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Hello! Can you please help me on this math problem? =)
Find the area of the composite shape. Use 3.14 for π and round to the nearest hundredth.
Answer:
95.52
Step-by-step explanation:
[tex]\frac{13*6}{2} <= The area of the triangle\\6 = radius\\(6^{2} )* 3.14\\\frac{113.04}{2} +39\\95.52[/tex]
DUE SOON! PLEASE HELP!
SHOW ME HOW TO GET IT FOR NEXT TIME! SO CONFUSED AND BEEN STUCK FOREVER PLEASE HELP!
QUESTION DOWN BELOW!
The value of m in the given equation 4x² -mx +9 will be 13.
What is polynomia?A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates in mathematics. Polynomials come in various varieties. Monomial, binomial, and trinomial, respectively.
given an equation 4x² -mx + 9 = 0 and the question states that it has a root that is equal to 1
Since 1 is the root of this quadratic equation it will satisfy the equation
Substituting the values in the equation
4 - m + 9 = 0
m = 13
Therefore, In the given equation 4x² -mx +9 the value of m will be 13.
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The volume of the cube below is 250.047 m^3. The side length could be between which sets of numbers below?
A. 4 cm and 5cm
B 5cm and 6 cm
C. 6 cm and 7 cm
D. 7 cm and 8 cm
Step-by-step explanation:
The volume of the cube below is 250.047 m^3. The side length could be between which sets of numbers below?
A. 4 cm and 5cm
B 5cm and 6 cm
C. 6 cm and 7 cm
D. 7 cm and 8 cm
ans.C
The student council is responsible for setting up the tables for
an awards banquet at the end of the year.
There are 144 people
who confirmed that they would attend the banquet.
The equation
8x +12y = 144 models this situation, where x is the number of
circular tables and y is the number of rectangular tables.
Find the x- and y-intercepts.
On solving the provided question, we can say that - here in the slope intercept [tex]2y / 2 = -4x /2 + 24 / 2 = > y = -2x + 12\\[/tex]
what is slope intercept?The point on the y-axis where the slope of the line passes is known as the intersection point in mathematics. the location on a line or curve where the y-axis crosses that point. This is demonstrated by putting y = mx+c as the equation for the straight line, where m denotes the slope and c the y-intercept. In the intercept form of the equation, the slope (m) and y-intercept (b) of the line are highlighted. The slope is m, and the y-intercept is b for equations in the intercept form (y=mx+b). Additionally, certain equations may be recast to seem like slope intercepts. For instance, if y=x is rewritten as y=1x+0, the slope becomes 1 and the y-intercept becomes 0.
y = mx + c
m = slope, c = y-intercept
[tex]4x + 2y = 24\\2y = -4x + 24\\2y / 2 = -4x /2 + 24 / 2\\y = -2x + 12\\[/tex]
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find the measure of angle x
Answer:
103+37=X
X=140 is the answer
Is a student takes out a $750 loan at 4% interest, how much interest is paid back in 60 days
Answer:
754.93 in total with an increase of 4.93
Step-by-step explanation:
Find the area of a regular hexagon with a side length of 10 cm
60 is my resultados of area
Answer
[tex]54 \sqrt{3} [/tex]
Step-by-step explanation:
Each interior angle is 120°for an hexagon.... Bisecting each will give an angle of 60° and thus dividing the hexagon into 6 equilateral triangles as the Bisecting lines meet at the centre of the hexagon. So find area of each equilateral triangle and multiply by 6
Area=
[tex] \frac{1}{2} b \times h \times 6 \\ = 3bh \\ = 3 \times 6 \times 3 \sqrt{3} [/tex]
[tex] = 54 \sqrt{3 } cm ^{2} [/tex]
1. Convert the following improper fractions to mixed numbers; a. 55
2
b. 43 3
2. Convert the following mixed numbers to improper fractions; a. 72
5
b. 121 2
[1]
[1]
[1]
7½
7×2+1/2
14+1/2
15/2
212½
12×2+1/2
24+1/2
25/2
Rewrite the following without an exponent. 1/4^-4
Answer:
[tex]\frac{1}{4^{-4}} = 256[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{4^{-4}}[/tex]
Required
Write without the exponent
[tex]\frac{1}{4^{-4}}[/tex]
Apply the following law of indices
[tex]\frac{1}{a^m} = a^{-m}[/tex]
So, we have:
[tex]\frac{1}{4^{-4}} = 4^{-(-4)}[/tex]
Evaluate the bracket
[tex]\frac{1}{4^{-4}} = 4^4[/tex]
[tex]\frac{1}{4^{-4}} = 256[/tex]
Andre drank 1.5 liters of water he brought. If he drank 80% of his entire hike, how much did he drink?
(please do explanation)
Answer:
He drank 1.2 liters
Step-by-step explanation:
1.5 X 0.8 (80%) = 1.2
Also the dude below also took my points when i asked a question :)
Find the reference angle for 342°.
Answer:
18 degree
Step-by-step explanation:
7.89 divided by 2 step by step
Answer:
3.945
Step-by-step explanation:
Someone help me please show work
is this about time.................
Sketch the Asymptotes and graph the function.
the quadratic equation have been solved and the required graph is attached below.
What is quadratic equation?
it's a second-degree quadratic equation which is an algebraic equation in x. Ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term, is the quadratic equation in its standard form. A non-zero term (a 0) for the coefficient of x2 is a prerequisite for an equation to be a quadratic equation. The x2 term is written first, then the x term, and finally the constant term is written when constructing a quadratic equation in standard form. In most cases, the numerical values of letters a, b, and c are expressed as integral values rather than fractions or decimals.
The equation:
[tex]\frac{x^{2}-7x+12 }{x^{2} -1}[/tex]
Its a quadratic equation in both numerator and denominator, by dividing the x² will be get a graph as given in the attached file.
Hence, the quadratic equation will be solved and the required graph is attached below.
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Dan is training his puppy, Lola, to sit. Dan holds a treat 5 feet above the ground until Lola
sits. As soon as she does, he drops the treat, and Lola catches it in her mouth 1.5 feet above
the ground.
To the nearest tenth of a second, how long does the treat fall before Lola catches it?
Hint: Use the formula h = -16t² + s.
The distance the treat falls before Lola catches the treat is 3.5 feet.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The distance of the treat from the ground = 5 feet.
The distance the dog jumps to catch the treat from the ground = 1.5 feet.
Now,
The distance the treat fall before Lola catches.
= 5 - 1.5
= 3.5 feet
Thus,
The treat falls for 3.5 feet.
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There is a 3 out of 20 chance that you can win a game. How many "wins" would you predict if you played the game 50 times? (NO LINKS OR FILE PLEASE, I WILL REPORT)
A 3
B 6
C 17
D 8
Answer:
D. 8
Step-by-step explanation:
set up a proportion
3/20 = x/50
to get from 20 to 50 you have to multiply by 2.5
so multiply the top number (3) by 2.5 to find x
this comes out to 7.5 which you then round up to 8
Answer:
D
Step-by-step explanation:
Jocelyn has a collection of 100 coins. How many coins represent 25% of her collection?
25 coins represent 25 percent of Jocelyn's collection.
What is the percentage?A percentage is a quantity or ratio that, in mathematics, represents a portion of one hundred. A dimensionless relationship between two numbers can be represented in a variety of ways, such as through ratios, fractions, and decimals. The symbol "%" is frequently written after the number to indicate percentages.
given, Jocelyn has a collection of 100 coins.
100% of her collection represents = 100 coins
1 % of her collection represents = 100/100 coins
1% of her collection represents = 1 coin
thus,
25% of her collection represents = 1*25 coins
25% of her collection represents = 25 coins
therefore, 25 percent of the collection of Jocelyn represents 25 coins.
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Choose the expression that is equivalent to fraction with 7 raised to the negative tenth power in the numerator and 7 raised to the fourth power times seven raised to the zero power in the denominator.
negative 1 divided by 7 raised to the fourteenth power
−714
1 divided by 7 raised to the fourteenth power
714
The equation that corresponds to fraction [tex]\frac{7^{-10} }{(7^{4} )(7^{0} )}[/tex] is [tex]\frac{1}{7^{14} }[/tex] . A phrase by itself could contain an action .
what is expression ?It is possible to multiply, divide, add, or subtract in math. An expression has the following structure: Expression: (Math Operator, Number/Variable, Math Operator). A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to compare expressions and phrases. In English, a phrase by itself could contain an action, but it doesn't constitute a full sentence.
given
[tex]\frac{7^{-10} }{(7^{4} )(7^{0} )} \\= \frac{1}{7^{4} } *\frac{1}{7^{10} } * 1\\= \frac{1}{7^{14} }[/tex]
The equation that corresponds to fraction [tex]\frac{7^{-10} }{(7^{4} )(7^{0} )}[/tex] is [tex]\frac{1}{7^{14} }[/tex] .
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