The depth of the bottom of the hole after the second day is 36 feet using addition operation.
What is addition?In math, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the sum refers to the outcome of the operation.
Given the depth on the first day is 26 ½ feet.
Depth on the second day = 9½ feet more than on the first day i.e. 9½ feet + depth on the first day
This implies, depth on the second day = 9½ + 26 ½
= 36 feet
Therefore, the depth of the bottom of the hole after the second day is 36 feet.
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Change 23 out of 25 to a percentage
This how we change 23 out of 25 to a percentage
The numerator of a question is the number that appears above the bar; in this case, the numerator is 23.
The denominator is the number beneath the bar, and in this question, it is 25.
To calculate the value of a fraction, divide the numerator by the denominator.
Therefore, we must divide 23 by 25.
23/25 = 0.92
To determine the percentage, multiply the outcome by 100.
The percentage value will be obtained by multiplying 0.92 by 100.
0.92 x 100 = 92%
As a result, 92% is the answer to the question.
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simplify the equation if a=3. b=-1 and c=5
4a+6-ac+b
Answer:
12 + 6 - 15 + (-1) = 2
Step-by-step explanation:
4a = 3 × 4 = 12
ac = 3 × 5 = 15
12 + 6 - 15 + (-1) = 2
is 10,000,000,001 prime? explain your reasoning
Answer:
Answer down below!
Step-by-step explanation:
It is not prime!!
10,000,000,001 is an odd eleven-digits composite number following 10000000000 and preceding 10000000002. In scientific notation, it is written as 1.0000000001 × 10^10. The sum of its digits is 2. It has a total of 3 prime factors and 8 positive divisors. There are 9,897,840,000 positive integers (up to 10000000001) that are relatively prime to 10000000001.
What’s 4x=8 simplified pls pls need to know
[tex]4x=8\\\frac{4x}{4} =\frac{8}{4} \\x=2[/tex]
simplified it is x=2
Answer:
x = 2
Step-by-step explanation:
4 x 2 = 8
-2.5(2s-5)-3(4.5s-5.2) simplified is
need help please and thank you ahead of time
Answer: −18.5s+28.1
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Answer the photo of the question pls tyy
The polynomial is
[tex]10x + y[/tex]
If Devon had a crush on aleyna and decided to bake cookies for her and the entire class that has 90 people in how many people does devon have to make cookies for including a ton for aleyna since she is his boo?
Step-by-step explanation:
soz bro I need the points but that guy too be moving madd
What is 3™+a= a+r, for m
Answer: m = (3/2)r
Step-by-step explanation:
2/3m+a=a+r, for m
----
(2/3)m + a = a + r
---
(2/3)m = r
please help me on these 2 questions
Answer:
1. x2-2x-24=0
break middle term
= x2-6x+4x-24=0
factorise:
x(x-6)+4(x-6)=0
=(x+4)(x-6)=0
x+4=0
x= -4
x-6=0
x= 6
2. x2-11x+18=0
break middle term
x2-9x-2x+18=0
Factorise
x(x-9)-2(x-9)=0
(x-2)(x-9)=0
x-2=0
x=2
x-9=0
x=9
Ask me if u don't know how to break middle term
simplify the following surd expressions 2 square root 5 * 5 square root 5
Answer:
50
Step-by-step explanation:
Simplify:[tex]\sf 2\sqrt{5}*5*\sqrt{5} = 2*5* \sqrt{5*5}[/tex]
= 10 * 5
= 50
Multiply the rational numbers and multiply the radicals.
What is 12 divided by .5
(help please i’m bad at division)
Answer:
24
Step-by-step explanation:
Think of .5 as 2 and instead of dividing, you're multiplying.
So instead of 12/.5, it would be 12x2, which is 24.
Hope that helps!
PLEASE HELP QUICK!!!!!!!!!!!!!!!!!!!!!!!!
The measures of the unknown angles are as follows:
∠DEA = ∠BEC = 60°∠AEB = ∠CED = 120°How to find the measure of angles?The measures of each angles can be found as follows:
Therefore,
∠AEB = ∠CED (vertically opposite angle)
∠DEA = ∠BEC (vertically opposite angle)
Vertically opposite angles are equal.
Therefore,
4x = 75 - x
4x + x = 75
5x = 75
x = 75 / 5
x = 15
Therefore,
∠DEA = ∠BEC = 4(15) = 60°
∠AEB = ∠CED = 360 - 120 / 2 = 240 / 2 = 120°
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what is 3/12 converted into over 100
The value of 3/12 of 100 is 25 .
In the question ,
a fraction 3/12 is given ,
we have to find the value of 3/12 of 100 .
to find the value , we first convert both the numbers into fraction
So 100 in fraction form can be written as 100/1
So the value 3/12 of 100 means
= [tex]\frac{3}{12} *\frac{100}{1}[/tex]
multiplying the numerator with numerator
and multiplying denominator with denominator .
we get = 300/12
on further simplification ,
we have ,
= 75/3
= 25
So , 3/12 of 100 = 25
Therefore , The value of 3/12 of 100 is 25 .
The given question is incomplete , the complete question is
What is the value of 3/12 of 100 ?
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Question 5 of 10
What is the inequality for this verbal description?
The value of y is greater than the sum of negative eight times the value of x
and nine.
A. Y>9x-8
B. y<-8x+9
C. y> -8x+9
D. y<9x-8
The inequality for the given statement is y > -8x+9.
What is the inequality?inequality, In mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Given that,
The statement is "The value of y is greater than the sum of negative eight times the value of x and 9".
According the given statement
First taking the sum of negative eight times the value of x and 9.
-8x+9
Then,
y is greater than -8x+9.
y > -8x+9
Hence, The inequality for the given statement is y > -8x+9.
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help nakaouebenaooaujwbennfnfnd pls
Answer:
Value of x is 22 because there are alternative angles
Step-by-step explanation:
Alternate angles are angles that occur on opposite sides of the transversal line and have the same size.
3.5²-√8.6
Answer to the 2nd decimal places
Answer:
9.32 if question is [tex]3.5^2-\sqrt{8.6}[/tex]
or
10.55 if question is [tex]3.5^2 - \sqrt{8} \cdot 6[/tex]
(see explanation below)
Step-by-step explanation:
I took the question as
[tex]3.5^2-\sqrt{8.6}[/tex]
since it was not clear if it was [tex]\sqrt{8.6}[/tex] or [tex]\sqrt{8} \cdot 6[/tex]
If it is [tex]3.5^2 - \sqrt{8} \cdot 6[/tex] then the answer would be 10.55
So check out your question and choose
subtract 18 from the product of 7 and 13
Hello!
The product of something is the outcome of ADDITION.
This means we will have to add 7 and 13.
7+13=20.
It says the subtract 18.
20-18=2.
2 is your answer!!
---------------------------------
this is a pretty simple concept so I hope you understood. just remember product=addition. much love!! <3
Johnny opened a savings account and deposited $95, and then saved $15 per week. Write an equation representing this scenario. Use for her bank account balance and for the number of weeks that have passed since opening her account.
The following linear equation gives Johnny's savings w weeks after her opened the account.
S(w) = $95 + $15*w
Which equation shows Johnny savings?We know that initially, Johnny deposits an amount of $95, and then he saves $15 per week.
So, after w weeks, the amount in that savings account will be:
S(w) = $95 + $15*w
This linear equation gives the bank account balance w weeks after her opened the account.
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. If four players on the twenty-man baseball roster are left-handed, what
percent of the players are left-handed?
Answer:
20%
Step-by-step explanation:
4/20
20 x 5 = 100
4x 5 =20
20/100=20%
12. Write the equation that represents
the values in the table below.
X
8
y
-29
INS MITT
6
-19
2
1
-4
31
Answer: [tex]y=-5x+11[/tex]
Step-by-step explanation:
We can model this with a line.
The slope of the line is [tex]\frac{-29-1}{8-2}=-5[/tex], and so the equation is [tex]y=-5x+11[/tex].
Please help me in your own words I only have 30 minutes please help me
1) given
2) corresponding angle theorem
3) definition of a linear pair
4) definition of a linear pair
5) supplement theorem
Given the diagram above and bd= 12 and ac= x+ 23, find ac
The value of AC when BD= 12 and AC = x+ 23 is 28
What is a line segment?A line segment can be defined as the part of a straight line that is being bounded by two different end points, and also contains all the points on the line between its endpoints.
From the information given, we have that line AD is a line with segments, line AB, line BC, line CD with B and C as the midpoints.
Given the points as;
AC = x + 23BD = 12BC = 14 + xAD = 26 + xWe have that;
AC + BC = AD
But line BD = 14 + x, we have;
Line AC = x + 23 - 14 + x
Line AC = 2x + 9
substitute the values into the equation
2x + 9 +12 = 26 + x
collect like terms
2x - x = 26 - 21
Add or subtract like terms
x = 5
But, we have that;
Line AC = x + 23
Line AC = 5 + 23
Add the values
Line AC = 28
Hence, the value is 28
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What is 84,787 in expanded form?
Answer:
Your number written in expanded form is: 80000 + 4000 + 700 + 80 + 7
cos^4x - sin^4x +1 = 2cos^2x
prove
Proved [tex]Cos^{4}x - Sin^{4}x + 1[/tex] = 2Cos²x
We will use the Pythagorean Theorem:
Sin²x + Cos²x = 1
from which we can get:
Sin²x = 1 - Cos²x
Also, note that the difference in the similarity of squares can be written:
A² - B² = (A - B)
We can use this with A = Sin²x and B = Cos²x as follows:
[tex]Sin^{4}x - Cos^{4}x[/tex]
= (Sin²x)² - (Cos²x)²
= (Sin²x - Cos²x) (Sin²x + Cos²x)
= Sin²x - Cos²x
= (1 - Cos²x) - Cos²x
= 1 - 2Cos²x
Now move the 1 and negative symbols to the left.
[tex]Cos^{4}x - Sin^{4}x + 1[/tex] = 2Cos²x
The trigonometric ratios are related to each other by equations called trigonometric identities.
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Solve b over negative 5.6 is less than or equal to negative 4.9 for b.
b ≥ 27.44
b ≤ 0.7
b ≤ −0.7
b ≥ −10.5
The expression of b over negative 5.6 is less than or equal to negative 4.9 for b ≤ 0.7 ( b less than or equal to 0.7 ).
Based on the given conditions,
Negative 5.6 means = -5.6
Negative 4.9 means = -4.9
Negative 5.6 means ≤ Negative 4.9 means
Then,
-5.6 ≤ -4.9
But,
Let the number b is over negative 5.6,
It means,
We can write,
b + (-5.6) (Equation-1)
This equation-1 is write into,
b + (-5.6) ≤ -4.9
b - 5.6 ≤ -4.9
b ≤ (-4.9) + 5.6
We can sum or difference the products,
b ≤ 0.7
Therefore,
The expression b over negative 5.6 is less than or equal to negative 4.9 for b ≤ 0.7
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Answer: The expression b over negative 5.6 is less than or equal to negative 4.9 for b ≤ 0.7
Step-by-step explanation:
The table shows a country’s average fuel consumption for light duty vehicles for several years. Let XP the number of years since 1985 so that executes five cents for 1990 and so forth. Find the linear regression model for the status. What does slope and regression model represent
Using linear function concepts, it is found that:
The slope is of 0.172 means that the fuel economy increases by 0.172 mpg each year.The intercept of 17.04 means that the fuel economy was of 17.04 mpg in 1985.What do the slope and the intercept of a linear function represent?The slope-intercept representation of a linear function is:
y = mx + b.
In which:
The coefficient m is the slope of the function, which is the rate of change of the function, that is, the change in y divided by the change in x.The coefficient b is the y-intercept of the function, which is the the value of y when the function crosses the x-axis(x = 0).For this problem, we will use a calculator from the points on the table to build a linear function of best-fit. The points are given as follows:
(5, 17.9), (10, 18.7), (15, 19.7), (20, 20.5), (25, 21.3).
Then the function is:
y = 0.172x + 17.04.
Then:
The slope is of m = 0.172, meaning that each year, the fuel economy increases by 0.172 mpg.The intercept of b = 17.04 was the fuel economy in 1985.What is the missing information?The table is missing, and is given by the image at the end of the answer.
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Find b
A 16
B 23
C 92
D76
Answer:
b 23 is your answer okisussu
4. Find “a” so that the parabola y = ax² + 3x + 11 goes through the point (3,2).
Answer:
a = - 2
Step-by-step explanation:
since the point (3, 2 ) lies on the parabola, then it makes the equation true.
substitute x = 3, y = 2 into the equation and solve for a
y = ax² + 3x + 11
2 = a(3)² + 3(3) + 11
2 = 9a + 9 + 11
2 = 9a + 20 ( subtract 20 from both sides )
- 18 = 9a ( divide both sides by 9 )
- 2 = a
Answer:
a = -2
Step-by-step explanation:
Given quadratic equation:
[tex]y=ax^2+3x+11[/tex]
In order to find "a", substitute the given point on the curve (3, 2) into the equation and solve for a:
[tex]\begin{aligned}y&=ax^2+3x+11\\\textsf{Substitute $(3,2)$} \implies 2&=a(3)^2+3(3)+11\\2&=9a+9+11\\2&=9a+20\\2-20&=9a+20-20\\-18&=9a\\9a&=-18\\\dfrac{9a}{9}&=\dfrac{-18}{9}\\\implies a&=-2 \end{aligned}[/tex]
Therefore, the value of "a" so that parabola y = ax² + 3x + 11 goes through the point (3, 2) is:
[tex]\large \boxed{a=-2}[/tex]
Which number is located between 11 and 12 on a number line?
A.
√150
B.
√134
C.
√115
D.
√121
√134 is the number which is located between 11 and 12 on a number line.
What is a Number Line?A number line is a horizontal straight line on which real numbers are arranged in equal intervals. This line extends both sides at infinity.
Comparison and operations of numbers can be better explained using number lines.
Taking consecutive perfect squares of integers which lies above and below the given numbers on the number line and taking it's square root, we can find the answer.
The perfect squares below and above 150 are 144 = 12² and 169 = 13². So √150 lies in between 12 and 13.
The perfect squares below and above 134 are 121 = 11² and 144 = 12². So √134 lies in between 11 and 12.
The perfect squares below and above 115 are 100 = 10² and 121 = 11². So √115 lies in between 10 and 11.
The number 121 is itself a perfect square. √121 = 11.
Hence √134 is the number which lies in between 11 and 12.
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A spinner with 8 equally sized slices has 2 red slices, 3 blue slices, and 3 yellow slices. What is the probability of stopping on a red or blue slice?
Answer:
The probability is 5/8
Step-by-step explanation: