Answer:
195
Step-by-step explanation:
So -79 + x = 116
then x = 116 + 79 = 195
Answer:
The sum of two consecutive integers will always be an odd number.
Step-by-step explanation:
-79 + x = 116
x = 116 + 79 = 195
195 is the answer
(IF THE ANSWER IS HELPFUL)
*PLEASE MARK ME BRAINIEST*
Thank you, have a nice day
Simplify square roots
Simplify.
Remove all perfect squares from inside the square root.
12
Answer:
[tex]2\sqrt{3}[/tex]
Step-by-step explanation:
[tex]\sqrt{12}[/tex]
[tex]\sqrt{(4)(3)}[/tex]
square root of 4 is 2
[tex]2\sqrt{3}[/tex]
the 3 stays inside
the number ten is raised to a power between 0 and 1. The answer has to be between which two numbers?
Value of [tex]10^x[/tex] will be between 1 and 10.
Given in the question,
A number [tex]10^x[/tex] where, 0 < x < 1If we have to find the range of the value of the number, substitute x = 0 and 1
[tex]10^0=1[/tex]
[tex]10^1=10[/tex]
Therefore, value of [tex]10^x[/tex] will vary between 1 and 10.
Learn more,
https://brainly.com/question/19465964
Use the first five terms of the trigonometric series to approximate the value of [tex]sin\frac{\pi }{2}[/tex] to four decimal places.
a. 0.9878
b. 1.2345
c. 0.6578
d. 1.0000
Answer:b
Step-by-step explanation:
A piece of aluminum occupies a volume of 12.7 milliliters and weighs 87.3 grams. What is its density of the aluminum rounded to the nearest hundredth? Only enter numerical values, which can include a decimal point.
Answer:
6.87 g/mL
Step-by-step explanation:
The density of an object can be found by dividing the mass by the volume.
[tex]density=\frac{mass}{volume}\\\\ d=\frac{m}{ v}[/tex]
We know that the aluminum occupies a volume of 12.7 milliliters and weighs 87.3 grams. Therefore, the mass is 87.3 g and the volume is 12.7 mL.
[tex]m= 87.3 g\\\\v=12.7 mL[/tex]
Substitute the values into the formula.
[tex]d= \frac{87.3 g}{12.7 mL}[/tex]
Divide 87.3 g by 12.7 mL
[tex]d=6.87401575 g/mL[/tex]
Round to the nearest hundredth. The 4 in the thousandth place tells us to leave the 7 in the hundredth place.
[tex]d= 6.87 g/mL[/tex]
The density of the aluminum is about 6.87 grams per milliliter.
what’s the equation
Answer:
y = 4. [tex]3^{x}[/tex]
Step-by-step explanation:
For an exponential function in the form
y = a[tex]b^{x}[/tex]
Use ordered pairs from the table to find a and b
Using (0, 4 ), then
4 = a [tex]b^{0}[/tex] ( note [tex]b^{0}[/tex] = 1 ), thus
a = 4
y = 4 [tex]b^{x}[/tex]
Using (1, 12 ), then
12 = 4 [tex]b^{1}[/tex] = 4b ( divide both sides by 4 )
b = 3
Thus
y = 4 . [tex]3^{x}[/tex] ← exponential equation
The population of fruit flies tripled every day and the population today is 200 fruit flies.
a) Write an equation modeling the growth in the population of fruit flies.
b) What was the population of fruit flies 3 days ago?
Answer:
Equation = 600nNumber of fruit flies after 3 days = 1800 fruit fliesStep-by-step explanation:
Given:
Number of fruit flies = 200
Rate of growth = 3 times per day
Find:
A . Equation
B . Number of fruit flies after 3 days
Computation:
A . Equation = 3n(200)
Equation = 600n
B. Number of fruit flies after 3 days
Number of fruit flies after 3 days = 600(3).
Number of fruit flies after 3 days = 1800 fruit flies
I REALLY NEED HELLP with these 3 questions PLLZZZZ!!!!
Answer:
Below
Step-by-step explanation:
6)
The sum that we have is 85 +99
We want to express it as the product of a whole number thar is greater than 1 and a sum of two whole numbers.
Notice that: 85 = 84+1
● 85 + 99 = 84 + 1 + 99 = 84 + 100
84 and 100 are even numbers so we can factor using 2.
● 84 + 100 = 2(42 +50)
2 is greater than one and 42+50 is the sum of two whole numbers so all the conditions are satisfied.
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7)
Dasha go on business trips every 9 months while Charlie go every 6 months.
They came back at the same time.
So Charlie has to wait 6 months before going and Dasha nine months.
Dasha will be alone home for 3 months so she doesn't need to hire someone.
Here is what happens:
● Both Dasha and Charlie are home.
● After 6 months Charlie go and Dasha is at home
● after 3 months Dasha goes also and Charlie is home
● after 3 months charlie go and Dasha is home
● after 3 months both are home.
● aftet 3 months they both go
So the period is:
● 6+3+3+3+3 = 18
So after 18 months they should hire someone.
The picture below makes the understanding easier. ( x is Charlie and y is Dasha)
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8)
Pime factorisation
● 96÷2= 48
● 48÷2= 24
● 24 ÷ 2 = 12
● 12 ÷ 2 = 6
● 6÷2 = 3
● 3÷3 = 1
=> 96 = 2 × 2 ×2×2×2 ×3 =2^5 ×3
● 80÷ 2 = 40
● 40 ÷ 2 = 20
● 20÷2 = 10
● 10÷2 = 5
● 5÷5 = 1
=> 80 = 2×2×2×2×5 = 2^4 × 5
So the GCF is 2^4 wich is 16
He can make 16 party
● 80÷16 = 5
There will be 5 boxes of raisin in each one
● 96÷16 = 6
There will be 6 pencils in each party
Steel chain costs $0.75 per foot from Company
X, which provides free shipping. The same
steel chain costs $1.20 per yard at Company Y,
which charges a $120.00 shipping fee for all
orders. How much more does Company
Y charge, in dollars, than company X for 300
feet of steel chains?
Answer:
Company Y charges 255 dollars more then Company X :)
Step-by-step explanation:
Company X: 0.75 * 300 = 225 + 0 shipping
Company Y: 1.20 * 300 = 360 + 120 shipping = 480
480 - 225 = 255
Simplify the expression
Answer:
B
Step-by-step explanation:
[tex] \frac{{3}^{5} }{ {3}^{3} } = {3}^{5 - 3} = {3}^{2} = 9 [/tex]
James defines a circle as "the set of all the points equidistant from a given point." His statement is not precise enough
because he should specify that
O a circle includes its diameter
O the set of points is in a plane
O a circle includes its radius
O the set of points are collinear
A circle has a center, radius, diameter and points in a plane. Depending on the context, the definition of a circle must contain at least one of the following terms:
CenterRadiusDiameterPoints in a planeBased on James' definition of a circle, he needed to specify that the points are in a plane (option c).
As presented in his definition "the set of all the points" can be interpreted in several ways. Some of which are:
the set of points on a linethe set of points in a planethe set of points in a regionEtcOf this numerous possible interpretation, James should have specified that the set of points is in a plane
Learn more about circles at:
https://brainly.com/question/12930236
17
Ax+2y=12
8x +32 y=144
For what value of A will the system of equations above
have no solutions?
Answer:
Hello,
a=0.5
Step-by-step explanation:
[tex]\left \{ \begin{array}{ccc}ax+2y&=&12\\8x+32y&=&144\\\end{array}\right.\\\\\\\Longleftrightarrow\ \left \{ \begin{array}{ccc}ax+2y&=&12\\x+4y&=&18\\\end{array}\right.\\\\\\\Longleftrightarrow\ \left \{ \begin{array}{ccc}(1-2a)x&=&-6\\x+4y&=&18\\\end{array}\right.\\\\if\ 1-2a\neq 0\ (or\ a\neq \dfrac{1}{2} )\ then\\\left \{ \begin{array}{ccc}x&=&\dfrac{6}{2a-1}\\\\y&=&\dfrac{18-\dfrac{6}{2a-1}}{4} \\\end{array}\right.\\\\[/tex]
[tex]\Longleftrightarrow\ \left \{ \begin{array}{ccc}x&=&\dfrac{6}{2a-1}\\\\y&=&\dfrac{ 3(3a-2)}{2a-1} \\\end{array}\right.\\\\[/tex]
else\
[tex]a=\dfrac{1}{2} \\\Longleftrightarrow\ \left \{ \begin{array}{ccc}\dfrac{1}{2} x+2y&=&12\\\\x+4y&=&18 \\\end{array}\right.\\\\\\\Longleftrightarrow\ \left \{ \begin{array}{ccc}x+4y&=&24\\\\x+4y&=&18 \\\end{array}\right.\\\\\\\Longleftrightarrow\ \left \{ \begin{array}{ccc}0=6\ !!!!!\\\end{array}\right.\\\\Syetem\ has\ no\ solution\\[/tex]
Please Help, I can't figure out this problem
Find the distance between the points (9,-7) and (5, -4).
A.
[tex] \sqrt{137} [/tex]
B.
5
C.
[tex] \sqrt{7} [/tex]
D.
25
Answer:
The answer is 5 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question
The points are (9,-7) and (5, -4)
The distance between them is
[tex]d = \sqrt{ ({9 - 5})^{2} + ({ - 7 + 4})^{2} } \\ = \sqrt{ {4}^{2} + ({ - 3})^{2} } \\ = \sqrt{16 + 9} \\ = \sqrt{25} [/tex]
We have the final answer as
5 unitsHope this helps you
Which data set matches the box-and-whisker plot?
A) 12 13 15 19 23 23 25 26.5 28 30
B) 15 13 19 21 23 24 27 29 32
C) 11 31 13 15 19 21 21 25 27 29 31
D) 11 13 15 19 23 23 24 26.5 28 33
Answer:
D) 11 13 15 19 23 23 24 26.5 28 33
Step-by-step explanation:
The box-and-whisker plot displayed above has the following key values that we can use to identify which of the given data set it matches. It has:
Minimum value = 11
Q1 = 15
Median = 23
Q3 = 26
Maximum value = 33
From the options given, using just the max and min value, we can conclude that the data set in option D matches the box plot.
The data set in option D has a minimum value of 11, and a maximum value of 33.
help me please!! i am already failing the test
Answer:
2x²+2x
Step-by-step explanation:
you have f(x)= x+1 and g(x)= 2x
you must multiply the 2 polynomials
(1x·2x) +( 1·2x)
1·2=2 x^1·x^1=x²
2x²
1·2x=2x
Two lines cross to make the letter x. The letter is 5 inches wide. What is the angle where the lines cross
Answer:
24
Step-by-step explanation:
trudt
If x = 3 and y = 5 then which of the following expression has the value ( -8)
당신에게 도움이됩니다
[tex]( - 3) - 5 \\ = ( - 8)[/tex]
Is a – b a positive number or a negative number? How do you know?
b b
a
1
Please help I will give you Brainlyest
Answer:
A positive number.
Any negative subtracted from a positive will always be positive.
Answer:
a-b will be and will always be a POSITIVE number.
This is because a is positive, and b is negative.
However, when you subtract a negative number, you are actually just adding it.
So, a - (-b) = a+b.
This is why, it will always be positive.
Let me know if this helps!
please help need nowww will give brainlest to right answer
-144π = -12πk
Answer:
k = 12
Step-by-step explanation:
isolate the variable; divide both sides that dont contain the variable
Answer:
K=12
Step-by-step explanation:
-144π = -12πk
divide by -12π on both sides to find k
-144π / -12π = k
12 = k
Help mee whats the answerr :( Q: The midpoint of the line segment with the coordinates (9, -8) and (-2, 1) is _
Answer:
(3.5, - 3.5)
Step-by-step explanation:
Using the Midpoint theorem, we have
x=(9-2)/2=7/2=3.5
y=(-8+1)/2=-7/2=-3.5
Select the correct answer.
Which equation matches the function shown in the graph?
Answer:
D. y = cos(4x)
Step-by-step explanation:
The graph passes through the points y = 0 and x = 3π/8
So you solve x = 3π/8 into 4 answers, which is equal to 0 is the correct answer.
PLEASE HELP Find the value of the following expression (2 ^8 • 3 ^-5 • 6 ^0) ^-2 • (3 ^-2 over 2 ^3 ) ^4 •2 ^28
the answer is very simple if you don't understand ask to your teacher
Use mathematical induction to prove the statement is true for all positive integers n. 8 + 16 + 24 + ... + 8n = 4n(n + 1)? Please show work
Answer:
The sum of the series is Sₙ = n/2 [2·a + (n - 1)·d] where a = 8 and d = 8, therefore 8 + 16 + 24 + ... + 8·n = 4·n·(n + 1)
Step-by-step explanation:
The parameters given are;
8 + 16 + 24 + ... + 8·n = 4·n·(n + 1)
The given series of numbers can be checked to find;
16 - 8 = 24 - 16 = 8
Therefore, the series of numbers is an arithmetic progression with first term = 8, and common difference = 8, we have;
The sum of n terms of an arithmetic progression, Sₙ, is given as follows;
Sₙ = n/2 [2·a + (n - 1)·d]
Where;
a = The first term of the series of numbers = 8
d = The common difference = 8
∴ Sₙ = n/2 × [2×8 + (n - 1)×8] = n [2×8/2 + (n - 1)×8/2] = n × [8 + (n - 1)×4]
Sₙ = n × [8 + (n - 1)×4] = n × [8 + 4·n - 4] = n × [8 - 4 + 4·n] = n × [4 + 4·n]
Sₙ =n × [4 + 4·n] = 4 × n×(n + 1) = 4·n·(n + 1).
Vertical plane R intersects horizontal plane P. Points A, D, and B are on the line of the intersecting planes. Point F is on the top half of plane R. Point G is on the bottom half of plane G. Point C is on the left half of plane P. Point E is on the right half of plane P. Point H is above and to the right of the planes. Point J is below and to the left of the planes. Which statements are true based on the diagram? Check all that apply.
Answer:
1,2,4,5
Step-by-step explanation:
Answer:
line DB, H, and D
Step-by-step explanation:
Probability ~
The probability of selecting a white chocolate from a box is 1/5 and the probability of selecting a dark chocolate from the same box is 1/3. The other chocolates are milk chocolates.
A. Find the probability of selecting a milk chocolate.
B. How many chocolates in total could be in the box? Give reasons. Is there more than one answer?
A.
A - selecting a milk chocolate
[tex]P(A)=1-\dfrac{1}{5}-\dfrac{1}{3}=\dfrac{15}{15}-\dfrac{3}{15}-\dfrac{5}{15}=\dfrac{7}{15}[/tex]
B.
The number of the chocolates must be a multiple of 15, so there can be 15,30,45,... etc. chocolates in the box.
∣x−18∣=5 absolute value
Answer
x = 13 or x = 23
Step-by-step explanation:
|x-18| = 5 means there are two possibilities.
x-18 can equal 5 or equal -5 because absolute value sign makes everything inside it positive.
so you can write two equations and solve
first is x-18 = 5
x-18 + 18 = 5 + 18
x = 23
the second is x - 18 = -5
x - 18 + 18 = -5 + 18
x = 13
The two solutions are 13 and 23.
Which of the following are natural numbers? There may be more than one correct answer. Select all that apply. If only one answer is correct, select "only" and the answer that applies. A.) only B.) −1,−2,−3,… C.) 7,8,9,… D.) fractions E.) 22
Answer:
Option C and option E
Step-by-step explanation:
C.) 7,8,9,…
E.) 22
Natural numbers are also called counting numbers.
They begin from 1, 2, 3 to infinity.
Natural numbers are greater than zero (0)
They do not have decimal point in them.
They are positive integers, as such they do not have minus
Natural numbers can include commas when they are large like 3,000
simplify 2 root 3 multiply by root 7
Answer:
[tex]2 \sqrt{3} \times \sqrt{7} = 2 \sqrt{21} = 2 \times 4.58 = 9.16[/tex]
I hope I helped you^_^
Rewrite in simplest terms: 2(-4p-6)-5p2(−4p−6)−5p
Answer: 20p³+30p²-13p-12
Step-by-step explanation:
2(-4p-6)-5p²(-4p-6)-5p
-8p-12+20p³+30p²-5p
20p³+30p²-13p-12
please click thanks and mark brainliest if you like :)
Answer:
20p^3+30p^2-13p-12
Step-by-step explanation:
2(-4p-6)-5p^2(−4p−6)−5p
Distribute
-8p -12 +20p^3 +30p^2 -5p
Combine like terms
20p^3 +30p^2-13p-12
Find the length of LM if L is the midpoint of NM. NL = 3x + 1, LM = 8x - 24.
Answer:
LM = 16
Step-by-step explanation:
From the question given:
L is the midpoint of NM
NL = 3x + 1
LM = 8x - 24
LM =?
Next, we shall determine the value of x.
This can be obtained as follow:
Since L is the midpoint of NM, it means that NL and LM are equal i.e
NL = LM
Thus, we can obtain the value of x as follow:
NL = 3x + 1
LM = 8x - 24
NL = LM
3x + 1 = 8x - 24
Collect like terms
3x - 8x = - 24 - 1
-5x = - 25
Divide both side by - 5
x = -25/-5
x = 5
Finally, we shall determine the length of LM as follow:
LM = 8x - 24
x = 5
LM = 8(5) - 24
LM = 40 - 24
LM = 16
Therefore, the length of LM is 16
[tex] {x}^{3} - {x}^{2} \div x[/tex]