Answer:
1a : a branch of mathematics that deals usually with the nonnegative real numbers including sometimes the transfinite cardinals and with the application of the operations of addition, subtraction, multiplication, and division to them. b : a treatise on arithmetic. 2 : computation, calculation.
Step-by-step explanation:
Final answer:
Arithmetic is a branch of mathematics dealing with numbers, including operations like addition, subtraction, multiplication, and division; it is recognized for its universality and foundational importance in various fields of study.
Explanation:
Arithmetic is a fundamental branch of mathematics that involves the study and manipulation of numbers. It includes the basic operations of addition, subtraction, multiplication, and division. These operations are essential for understanding and working with numbers in both simple and complex mathematical contexts, such as the calculation of quantities, relationships, and patterns. Arithmetic is universally acknowledged for its constant and indubitable truths, such as two plus three always equalling five. This branch of mathematics is not only vital in academic settings but is also crucial in everyday decisions and processes regardless of the period or location. Arithmetic serves as the basis for more advanced mathematical studies and is woven intricately into various fields such as physics, astronomy, and engineering, highlighting its foundational importance in the sciences and beyond.
What fraction is located at point A on the number line?
The location of point A of the number line will be at 2 ¹/₃.
What is a number line?A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.
The section between the numbers 2 and 3 will be 3.
The location of point A is given as,
⇒ 2 + 1/3
Convert the expression into a mixed fraction number. Then we have
⇒ 2 + 1/3
⇒ 2 ¹/₃
The location of point A of the number line will be at 2 ¹/₃.
More about the number line link is given below.
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D=3 in this problem plz help
Answer:
73
Step-by-step explanation:
Answer:
To do this you want to plug 3 in for d, so your equation will look like this
7(3)^2+10
In the order of PEMDAS you want to do exponents first, because there is no parentheses.
7*9+10 (3^2=9), next you want to multiply
63+10, lastly you want to add
63+10=73
73
Hope this helps ;)
You know if a number is divisible by 4 if the last 2 digits form a number that is.......
Answer:
... divisible by 4
Step-by-step explanation:
Since 100 is divisible by 4, but 10 is not, any multiple of 100 will be divisible by 4. So to check for divisibility by 4, we need to look at the last two digits.
If the last two digits are divisible by 4, the number will be divisible by 4.
_____
A number divisible by 4 will look like one of ...
{odd}{2, 6}
{even}{0, 4, 8}
Jeff saves $25 a week How much can he save in one year ( 1 year =52 weeks
Answer:1300
Step-by-step explanation:
in a week =25$
a year has 52wks
so...52×25=1300$in a year
Answer:
$1300
Step-by-step explanation:
$25 / week
52 weeks per year
52($25) = $1300
Hope this helps :)
(Pls help) A bicycle trail in the shape of a circle has a diameter of 3 miles. Michelle biked around the trail 4 times. About how far did Michelle bike.
39 miles ------------------------------------------------
Adding fractions
1/4 + 2/3=
Answer:
The addition of given fractions is [tex]\frac{11}{12}[/tex]
Therefore [tex]\frac{1}{4}+\frac{2}{3}=\frac{11}{12}[/tex]
Step-by-step explanation:
Given fractional expression is [tex]\frac{1}{4}+\frac{2}{3}[/tex]
To find the addition of given fractions :
Adding the given fractions we get
[tex]\frac{1}{4}+\frac{2}{3}[/tex]
[tex]=\frac{1(3)+2(4)}{12}[/tex] ( here taking 12 as LCM )
[tex]=\frac{3+8}{12}[/tex]
[tex]=\frac{11}{12}[/tex]
Therefore [tex]\frac{1}{4}+\frac{2}{3}=\frac{11}{12}[/tex]
The addition of given fractions is [tex]\frac{11}{12}[/tex]
PLEASE HELP ILL GIVE BRAINLIEST
Answer:
C
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = [tex]\frac{1}{4}[/tex] and c = - 1, thus
y = [tex]\frac{1}{4}[/tex] x - 1 → C
A student bought a piece of hard candy that is in the shape of a sphere. The candy has a radius of 3 centimeters.
Which of the following is closest to the volume of the piece of candy?
(Use 3.14 for π.)
Volume of piece candy is 113.04 cubic centimeter
Solution:
A student bought a piece of hard candy that is in the shape of a sphere
The candy has a radius of 3 centimeters
Radius = 3 cm
Use 3.14 for π
Volume of sphere is given as:
[tex]V = \frac{4}{3} \times \pi \times r^3[/tex]
Where, "r" is the radius of sphere
Therefore, volume of candy is given as:
[tex]V = \frac{4}{3} \times 3.14 \times 3^3\\\\V = 4 \times 3.14 \times 3^2\\\\V = 12.56 \times 9\\\\V = 113.04[/tex]
Thus volume of candy is 113.04 cubic centimeter
$325 tent; 15% Discount
Answer:
Step-by-step explanation:
48.75
1) Which is the best buy?
6 shirts for $25.50
4 shirts for $18.00
5 shirts for $21
Answer:
5 shirts for $21
Step-by-step explanation:
25.50÷6= 4.25
18.00÷4= 4.50
21.00÷5= 4.20
Boxes of cereal usually cost $4 but they are on sale for $1 off a gallon of milk costs $3 the expression 4b -1b +3 can be used to find the cost in dollars of buying b boxes of cereal and a gallon of milk write the expression in simpler form
Answer:4b +1b + 3 =5b + 3
Step-by-step explanation:add 1b to 4b will give you 5b plus the 3
Answer:
4b+1b+3=5b+3
Step-by-step explanation:
Which of the following describes the transformations of g (x) = negative (2) Superscript x + 4 Baseline minus 2 from the parent function f (x) = 2 Superscript x?
shift 4 units left, reflect over the x-axis, shift 2 units down
shift 4 units left, reflect over the y-axis, shift 2 units down
shift 4 units right, reflect over the x-axis, shift 2 units down
shift 4 units right, reflect over the y-axis, shift 2 units down
Answer: First option.
Step-by-step explanation:
Below are some transformations for a function [tex]f(x)[/tex]:
1. If [tex]f(x)+k[/tex], the function is shifted "k" units up.
2 If [tex]f(x)-k[/tex], the function is shifted "k" units down.
3. If [tex]f(x-k)[/tex], the function is shifted "k" units right.
4. If [tex]f(x+k)[/tex], the function is shifted "k" units left.
5. If [tex]-f(x)[/tex], the function is reflected over the x-axis.
6. If [tex]f(-x)[/tex], the function is reflected over the y-axis.
Then, given the parent function [tex]f(x)[/tex]:
[tex]f(x)=2^x[/tex]
And knowing that the the other function is:
[tex]g(x)=-2^{(x+4)}-2[/tex]
You can identify that the function [tex]g(x)[/tex] is obtained by:
- Shifting the function [tex]f(x)[/tex] 4 units left.
- Reflecting the function [tex]f(x)[/tex] 4 over the x-axis.
- Shifting the function [tex]f(x)[/tex] 2 units down.
Answer:
A is correct
Step-by-step explanation:
Shift 4 units left, reflect over the x-axis, shift 2 units downI contemplated the lake: the waters were placid; all around
was calm, and the snowy mountains, "the palaces of
nature," were not changed (73).
What feeling is Shelley most likely trying to associate with Victor
Frankenstein in this passage?
O
O
A. Peacefulness
B. Excitement
O
c. Distraction
O
D. Dread
SUBMIT
Answer:
The answer is: letter A, Peacefulness
Explanation:
Mary Shelley is the author of the book entitled, "Frankenstein." The story of the book centers on "Victor Frankenstein," a scientist and his monster creation. This creation of his, later on, asked for a female companion by threatening him. Victor, reluctantly, agreed on this under the monitoring of the creature. In the end of the story, Victor and his men in the ship were trapped in ice.
While Victor was on his journey to Geneva after his brother (William Frankenstein) died, he spoke in the passage above, "I contemplated the lake; the waters were placed; all around was calm, and the snowy mountains, 'the palaces of nature,' were not changed." This made him think how much nature brings peace to his soul that even after turmoil, he felt comforted by nature. Although he dreads to go back, the thought of the calm nature made him continue his journey.
Thus, this explains the answer, "Peacefulness."
the sides of a triangle are 56 CM, 60 cm and 52 cm find its area using herons formula
Answer:
1344cm^2
Step-by-step explanation:
Semi perimeter:
S = (a+b+c)/2
S=(56+60+52)/2
S=168/2
S=84
Area:
A=root S(S-56)(S-60)(S-52)
A=root 84(84-56)(84-60)(84-52)
A=root 84(28*24*32)
A=root 84(21504)
A=root1806336
A=1344cm^2
Answer:
Step-by-step explanation:
[tex]s=\frac{a+b+c}{2}=\frac{56+60+52}{2}=\frac{168}{2}=84 cm\\\\s-a=84-56=28 cm\\s-b=84-60=24 cm\\\\s-c=84-52=32 cm\\\\Area=\sqrt{s*(s-a)(s-b)(s-c)} \\\\=\sqrt{84*28*24*32}=\sqrt{7*12*7*4*12*2*4*2*2*2}\\\\=7*12*4*2*2=1344 sq.cm[/tex]
If C(x) = 4x^2 - 3, find the following
(a) C(0)
(b) C (-1)
(c) C (-2)
(d) C (-3/2)
Step-by-step explanation:
[tex]C(x)=4x^2-3\\\\C(0),\ C(-1),\ C(-2),\ C\left(-\dfrac{3}{2}\right)\\\\\text{Substitute each value}\ \left\{0, -1, -2, -\frac{3}{2}\right\}\ \text{instead}\ C(x):\\\\C(0)=4(0^2)-3=4(0)-3=0-3=-3\\\\C(-1)=4(-1)^2-3=4(1)-3=4-3=1\\\\C(-2)=4(-2)^2-3=4(4)-3=16-3=13\\\\C\left(-\dfrac{3}{2}\right)=4\left(-\dfrac{3}{2}\right)^2-3=4\left(\dfrac{9}{4}\right)-3=9-3=6[/tex]
I need help with this Geometry question.
Answer:
Given that AC ≅ BC, the sides are of equal measures.
CD is a side in both ΔACD and ΔBCD, so the side is equal in both triangles.
Given that CD if the bisector of ∠ACB, the two angles produced are equal: ∠ACD ≅ ∠BCD.
∠ACB is contained between AC and CD in ΔACD. ∠ACB is contained between BC and CD in ΔBCD.
Therefore by the SAS postulate, ΔACD ≅ ΔBCD.
Step-by-step explanation:
The SAS postulate says that if two triangles have a contained angle between two sides that are known to be equal in the other triangle, then the triangles are congruent.
Prove that two sides are equal, then prove that an angle that is between those two sides is also equal.
The coordinates shown may lie on what type of geometric figure?
(-2, 0) (0, 2) (0, -2) (2, 0)
A)
circle
B)
line
C)
parabola
D)
triangle
The point-slope form of the equation of the line that passes through (–5, –1) and (10, –7) is y plus 7 equals negative StartFraction 2 over 5 EndFraction left-parenthesis x minus 10 right-parenthesis.. What is the standard form of the equation for this line?
Answer:
2x + 5y = - 15
Step-by-step explanation:
The line that passes through (–5, –1) and (10, –7) points and the point-slope form of the equation is [tex]y + 7 = - \frac{2}{5}(x - 10)[/tex].
Now, we have to arrange this in the standard form.
So, [tex]y + 7 = - \frac{2}{5}(x - 10)[/tex]
⇒ 5(y + 7) = - 2(x - 10)
⇒ 5y + 35 = - 2x + 20
⇒ 2x + 5y = - 15 (Answer)
Majorie evaluated the expression 3x+2 for x=5 as shown: 3x+2=35+2=37 What was Majorie's mistake? What is the correct value of 3x+2 for x=5?
Answer:
17
Step-by-step explanation:
Given:
The given expression is.
[tex]3x+2[/tex]
We need to solve the given expression for [tex]x = 5[/tex].
Solution:
Rewrite the expression as.
[tex]f(x)=3x+2[/tex]
Substitute x = 5 in above expression.
[tex]f(5)=3(5)+2[/tex]
[tex]f(5)=3\times 5 + 2[/tex]
Now we multiply 5 with 3.
[tex]f(5)=15+2[/tex]
Now we add right side terms.
[tex]f(5)=17[/tex]
Therefore, The correct value of given expression is [tex]3x+2=17[/tex] for [tex]x=5[/tex].
Which expression can be modeled by this diagram!!!please help fast
Answer: i think 4x4/8
Step-by-step explanation:
Answer:first one
Step-by-step explanation:4 2/8
Just watched like 3 vids on multiplying unit fractions by whole numbers
What is the midpoint of E(3,7) and F(-8,-10)
(3 + -8 / 2,7 + -10 / 2)
(-5/2,-3/2)
Hope this helps! ;)
18x^4y^-7z/4x^9y^4z^-5
Answer:
The simplified expression to the given expression is
[tex]\frac{18x^4y^{-7}z}{4x^9y^4z^{-5}}=\frac{9z^6}{2x^5y^{11}}[/tex]
Step-by-step explanation:
Given expression is [tex]\frac{18x^4y^{-7}z}{4x^9y^4z^{-5}}[/tex]
To simpify the given expression :
[tex]\frac{18x^4y^{-7}z}{4x^9y^4z^{-5}}[/tex]
[tex]=\frac{9x^4y^{-7}z}{2x^9y^4z^{-5}}[/tex]
[tex]=\frac{9x^4y^{-7}zx^{-9}y^{-4}z^5}{2}[/tex] ( using the property [tex]a^{-m}=\frac{1}{a^m}[/tex] )
[tex]=\frac{9x^4.x^{-9}y^{-7}y^{-4}z.z^5}{2}[/tex]
[tex]=\frac{9x^{4-9}y^{-7-4}z^{1+5}}{2}[/tex] ( using the property [tex]a^m.a^n=a^{m+n}[/tex] )
[tex]=\frac{9x^{-5}y^{-11}z^{6}}{2}[/tex] ( using the property [tex]a^{-m}=\frac{1}{a^m}[/tex] )
[tex]=\frac{9z^6}{2x^5y^{11}}[/tex]
Therefore [tex]\frac{18x^4y^{-7}z}{4x^9y^4z^{-5}}=\frac{9z^6}{2x^5y^{11}}[/tex]
Therefore the simplified expression to the given expression is
[tex]\frac{18x^4y^{-7}z}{4x^9y^4z^{-5}}=\frac{9z^6}{2x^5y^{11}}[/tex]
A bakery offers a sale price of $2.50 for 3 muffins. What is the price per dozen?
Answer:
$10.0
Step-by-step explanation:
We are given;
Sale price for 3 muffins is $2.50We are required to determine the price per dozen;
We need to know that a dozen contain 12 itemsTherefore;
A dozen of muffins has 12 muffinsThus;
3 muffins = $2.50
12 muffins = (12 ÷ 3) × $2.5
= 4 × $2.50
= $10.0
The Price of a dozen is thus $10.0
A math teacher has budgeted $400 for the purchase of new calculators for the school. The calculators are $70 each. What are the possible numbers of calculators the math teacher can buy?
Answer:
Step-by-step explanation:
Amount the teacher as $400
A calculator cost $70
The no. Of calculator he teacher can get is = 400/70 = 5.71
The teacher can get 5 calculator
A diagonal of a parellelogram measures 37 inches. The sides measure 35 inches and 1 foot. Is the parellelogram a rectangle? Explain yoir reasoning m
Answer:
Yes, it is a rectangle
Step-by-step explanation:
12 ^2 +35^2 =37^2
Solve the literal equation for y.
6x + 7zy = 15
Answer:
Step-by-step explanation:
6x + 7zy = 15
7zy = 15-6x
y = (15-6x)/7z
Ashley read 12 books in 16 months. What was her rate of reading in books per month?
Answer:
3/4 book per month
Step-by-step explanation:
12/16=3/4
Ashley's reading rate is calculated by dividing the total number of books she read (12 books) by the number of months it took her to read them (16 months), which gives 0.75 book per month.
Explanation:The question is about determining Ashley's rate of reading in terms of books per month. The rate is determined by dividing the total number of books she has read by the total number of months. In this case, Ashley has read 12 books in 16 months.
To find Ashley's reading rate, you would divide the total number of books she has read (12 books) by the number of months it took her to read them (16 months), that is 12 books ÷ 16 months = 0.75 book per month.
So Ashley's reading rate is 0.75 book per month.
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A sphere has a diameter of 10 in. What is the volume of the sphere?
V = StartFraction 125 Over 3 EndFraction inches cubed
V = StartFraction 500 Over 3 EndFraction inches cubed
V = StartFraction 500 Over 3 EndFraction pi inches cubed
V = StartFraction 4,000 Over 3 EndFraction pi inches cubed
The volume of sphere is [tex]\frac{500}{3}\pi[/tex] inches cubed.
Step-by-step explanation:
Given,
Diameter of sphere = 10 inches
Radius of sphere = [tex]\frac{Diameter}{2}=\frac{10}{2}[/tex]
Radius of sphere = 5 inches
Volume of sphere = [tex]\frac{4}{3}\pi r^3[/tex]
V = [tex]\frac{4}{3}\pi (5)^3[/tex]
[tex]V = \frac{4}{3}\pi * 125\\\\V = \frac{500}{3}\pi[/tex]
The volume of sphere is [tex]\frac{500}{3}\pi[/tex] inches cubed.
Keywords: volume, division
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Answer:
500/3 pi
Step-by-step explanation:
i took le quiz :)
Work out 1 and 3 quarters times by 1 and 1 third
Give your answer as a mixed number.
Answer:
7/12
Step-by-step explanation:
1 is equivalent to 4/4.
3/4 + 4/4 = 7/4.
After converting 1 and 3 quarters to a mixed number, multiply the top two numbers and bottom two numbers.
7 * 1 in the numerator and 3 * 4 in the denominator gets you 7/12.
Answer:
Step-by-step explanation:
[tex]1\frac{3}{4}*1\frac{1}{3}=\frac{7}{4}*\frac{4}{3}\\\\=\frac{7}{3}=2\frac{1}{3}[/tex]
What is the geometric mean of 2 and 14?
Answer:
5.291502622129 (feel free to round if needed)
the geometric mean of 2 and 14 is 2√7.
What is geometric progression?
A geometric progression sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.
Given two numbers whose geometric mean needed to calculate
From the formula of Geometric mean
GM = [tex]\sqrt[n]{x_{1} x_{2} x_{3} ....x_{n} }[/tex]
Where GM = geometric mean
n = number of values
Xi = values to average
Thus,
GM = √(2 *14)
GM = 2√7
therefore, the geometric mean of 2 and 14 is 2√7.
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