Answer: 1. -8, 2. 44, 3. 14, 4. 251, 5. -113, 6. -108, 7. -9
Step-by-step explanation: To add integers having the same sign, keep the same sign and add the absolute value of each number. To add integers with different signs, keep the sign of the number with the largest absolute value and subtract the smallest absolute value from the largest. Subtract an integer by adding its opposite.
Step-by-step explanation:
1. (-25)+(+17)=-8
2.(+73)+(-29)=44
3.(-89)+(103)=14
4.(+194)+(+57)=251
5.(-217)+(+104)=-113
6.(+63)+(-171)=-108
7.(-13)+(+21)+(-17)=-9
A fish swims 10 yards north and 15 yards east from the boat that just caught it and threw it back. How many yards is the fish from the boat?
Answer:
18.0277563773 yards
Step-by-step explanation:
Pythagorean Theorem is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
[tex]10^{2}[/tex] + [tex]15^{2}[/tex] = [tex]c^{2}[/tex]
100 + 225 = [tex]c^{2}[/tex]
325 = [tex]c^{2}[/tex]
[tex]\sqrt{325}[/tex] = [tex]\sqrt{c^{2} }[/tex]
8.0277563773 = c
If a plane can travel 500 miles per hour with the wind and 400 miles per hour against the wind, find the speed of the wind and the speed of the plane in still air . what is the speed of the wind?
pleaseeee helpp asap
What is the equation of the line
what is the inverse of this statement "if a parallelogram has a right angle, then the parallelogram is a rectangle"?
Answer:
no a parallelogram doesn't have all equal sides but a square does
Step-by-step explanation:
Help please need answer soon
Answer:
c
Step-by-step explanation:
(x+25)(3+2x)-(x+4)(x+1)
=(3x+2x²+75+50x)-(x²+4x+x+4)
=(2x²+53x+75)-(x²+5x+4)
=2x²+53x+75-x²-5x-4
=x²+48x+71
If 150 grams of a radioactive isotope are present at 2:00 PM and 10 grams remain at 6:00 PM (the same day), what is the half-life of the isotope? Round to two decimal places.
Initial amount, [tex]A_o=150\ g[/tex] .
Final amount, [tex]A =10\ g[/tex] .
Time taken, t = 6:00 - 2:00 = 4 hour.
We know,
[tex]A=A_o(\dfrac{1}{2})^{\dfrac{t}{h}}\\\\10 = 150 \times \dfrac{1}{2}^{\dfrac{4}{h}}\\\\2^{\dfrac{4}{h}}=15\\\\\dfrac{4}{h}= log_215\\\\h = \dfrac{4}{log_215}\\\\h = 1.024 \ hours[/tex]
Therefore, the half-life of the isotope is 1.024 hours.
Hence, this is the required solution.
Compare your answer to the model. Yes, it is a direct variation. If the ordered pairs form a direct variation, the rate of change is constant and the ratio of y over x is constant. The rate of change, or constant of variation, is 0.5. What did your explanation include? a reference to the rate of change a reference to the ratio of y over x the constant of variation as 0.5
Answer: C
Step-by-step explanation:
Just did it
Define and give examples of y-intercept
Answer:
where a line crosses the y-axis.
(0,18) and/or (0, 54)
Step-by-step explanation:
Identify the ordered pairs that has the same slope as the equation y = 5x.
a. (1, 2) and (2, 1)
b. (2, 1) and (0, 5)
c. (5, 0) and (5, 1)
d. (0, 0) and (1, 5)
The ordered pair (0, 0) and (1, 5) has slope 5 as the equation y = 5x thus option (d) is correct.
What is the slope?A slope is a tangent or angle at a point and a slope is the intensity of inclination of any geometrical lines.
Slope = Tanx where x will be the angle from the positive x-axis at that point.
The linear equation is given as, y = mx + c here m is the slope.
By comparing y = 5x. slope m = 5.
The slope associated with two points (x₁, y₁) and (x₂, y₂) is given by
Slope = (y₂ - y₁)/(x₂ - x₁)
The slope of (0, 0) and (1, 5) = (5 - 0)/(1 - 0) = 5
So they have the same slope.
Hence "The slope of the pair (0, 0) and (1, 5) is 5 since y = 5x".
To learn more about slopes,
https://brainly.com/question/3605446
#SPJ2
HELPPP PLEASE WITH BOTH THANK U
Problem 1
Answer: B) -15
---------------------------
Explanation:
Draw out a number line with -7 on it. Stuff to the left of this value are smaller than -7. Stuff to the left would be -8, -9, ... and -15 is part of that list.
So -15 is smaller than -7.
================================================
Problem 2
Answer: Choice A) closed circle at 2 and shading to the right
--------------------------
Explanation:
Let's solve for h
[tex]-5h+3 \le -7\\\\-5h \le -7-3\\\\-5h \le -10\\\\h \ge \frac{-10}{-5}\\\\h \ge 2\\\\[/tex]
The inequality sign flips because we divided both sides by a negative value.
The solution set is the set of h values such that h = 2 or h > 2. In short, h can be 2 or larger.
Visually this will be a graph with a closed circle at 2 and shading to the right. The closed circle tells the reader "include the endpoint". This describes graph A.
Please help 60 points
Malcolm and Nick opened savings accounts with different beginning deposits. Each week, they both deposit the same amount into their accounts. This graph shows the amount of money in Malcolm’s account.
If, on the fifth week, Nick has $120 in his savings account, which equation shows the amount of money in Nick’s account?
A. y = 10x + 40
B. y = 10x +70
C. y = 20x + 40
D. y = 20x + 70
Answer:
B
Step-by-step explanation:
To solve this equation you use the y=mx+b format
Considering that the graph starts at 40 (b) and increase 10 every time that means that the m is 10
Sorry that probably made no sense
{(3, 2.1),(4,3.1), 5, 2.7), (5,4.1),(6, 5.1)} domain and range of this numbers
Answer:
domain: (3, 4, 5, 6)
range: (2.1, 2.7, 3.1, 4.1, 5.1)
Step-by-step explanation:
domain is the x value
range is the y value
you do not write the same number twice
write the domain and range in alphabetical order
Earth is approximately 1.5x10^8 km from the sun. how many minutes does it take to travel from the sun to the earth? the speed of light is 3x10^8 m/sec
The five number summary for your class GPA is shown. Which box plot shows the class data?
Answer:
The 2nd box lot shows the class data. Also, the illustrated box plot with these marks is also shown in the attached figure.
Step-by-step explanation:
Given the box plot which shows the class data, we can indicate that,
the minimum is 1.8, Q1 is 2.6, the median is 2.9, Q3 is 3.6, and the maximum is 4.0.So, the 2nd box lot shows the class data.
Because,
it indicates a minimum at 1.8Q1 (the first quartile, or the 25% mark) which is 2.6the median is 2.9Q3 (the third quartile, or the 75% mark) which is 3.6and the maximum is 4.0.So, the illustrated box plot with these marks is also shown in the attached figure.
Answer:
The 2nd box plot is correct
Step-by-step explanation:
Got it right on IM
PLEASE HELP ME ASAP. If you can help me please help me out.
Answer:
Step-by-step explanation:
to ez its =12
what is the inverse of 20
Answer:
-20
Step-by-step explanation:
It is like the opposite number. Because 20 is positive its inverse is negative 20.
HOPE THIS HELPED
what is 4/3×6/5in fraction in simplest form
Answer:
8/5
Step-by-step explanation:
find the number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E
Answer:
The number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E is 10,080 ways
Step-by-step explanation:
We need to find the number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E.
There are 9 letters in the word WONDERFUL
There is a condition that letter R is always next to E.
So, We have two letters fixed WONDFUL (ER)
We will apply Permutations to find ways of arrangements.
The 7 letters (WONDFUL) can be arranged in ways : ⁷P₇ = 7! = 5040 ways
The 2 letters (ER) can be arranged in ways: ²P₂ =2! = 2 ways
The number of ways 'WONDERFUL' can be arranged is: (5040*2) = 10,080 ways
So, the number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E is 10,080 ways
These two triangles are similar what is the measure of angle M?
Answer:
30
Step-by-step explanation:
We can ignore the fact they are similar altogether. It's known that all 3 angles of a triangle add up to 180, so:
180=102+48+m
180=150+m
30=m
Answer:
A. 30 degrees
Step-by-step explanation:
They are similar aka the same or congruent and since you know all three angles you just match them up.
ASAP NEED HELP!!!!
The company makes a single serving cereal box that contains 1.2 ounces of cereal. They plan to make an extra large box for school cafeterias. The extra large box will be a dilation of the single serving box using a scale factor of 4. How many ounces of cereal will the extra large box contain? Explain or show your reasoning.
Answer:
the answer should be 76.8 ounces
Step-by-step explanation:
The number of ounces of cereal will the extra-large box contains should be 76.8 ounces.
Calculation of the number of ounces:Since
The company makes a single serving cereal box that contains 1.2 ounces of cereal.
The extra-large box will be a dilation of the single-serving box using a scale factor of 4.
So, here the no of ounces should be
[tex]= 4\times 4\times \times 4 \times 1.2[/tex]
= 76.8 ounces
Learn more about ounces here: https://brainly.com/question/2656723
A negative multiplied/divided by a negative (same signs) equals a _
positive
negative
Answer:
When you multiply two negative numbers or two positive numbers then the product is always positive. 3 times 4 equals 12. Since there is one positive and one negative number, the product is negative 12.
Step-by-step explanation:
Raul opened a savings account with $2900. Each week, d, Raul pays the dog sitter $20 from his savings account. Write a function, f (d) , that is equal to the amount if money in the account after raul pays the dog sitter each week.
Answer:
f(d) = 2900 - 20d
Step-by-step explanation:
We start with 2,900 and each week 20 is deducted from the account.
f(d) = 2900 - 20d
Please help if you can!Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal.
Enter the correct answer.
Answer:
4/3 is that correct if not msg me and I’ll help you with the next problem
Step-by-step explanation:
Answer:
slope is 3/4
Step-by-step explanation:
rise over run
(32x^5)/(48x^7) Could someone solve and explain this maybe?
y=-x-2
PLLLLZZZ ANSWER ASAPP
Which of the following proves the triangles are congruent?
A. SSS
B. SAS
A
CASA
D. Not Congruent
Answer:
SSS
Step-by-step explanation:
Because 3 sides are identical, its the side-side-side theorem or SSS
Answer:
.
Step-by-step explanation:
X + 1 > 8
whats the answer
Answer:
x can = anywhere from 8 to infinite because x has to be greater than 8 at least
Step-by-step explanation:
I'm having trouble with this...
Solve.
{y=x−63x+2y=8
Use any method.
(14, 8)
(3, -3)
(0, -6)
(4, -2)
Answer:
(4, -2) should be the correct answer.
How can you tell when your graph has a constant rate relationship?
Would the slope be the same or different?
Which of the following equations uses the inverse property of logarithms correctly? A) log2(2^4)=4. B) 2^log2(4)=4. C) 2^log4(2)=4. D) log2(4^2)=2 E) 2^log4(4)=4. F) 4^log2(4)=4
Answer:
(A) and (B)
Step-by-step explanation:
The inverse property of Logarithms is
㏒a[tex](a^x)[/tex] = x or a^loga(x) = x
Using this property we check each option
(A) Log2(2^4) = 4 correct
(B) 2^log2(4) = 4 correct
(C) 2^log 4(2)[tex]\neq[/tex] 4 incorrect ( it equal to [tex]\sqrt{2}[/tex])
(D) log2(4^2) [tex]\neq[/tex] 2 incorrect ( it is equal to 4)
(E) 2^log4(4) [tex]\neq[/tex] 4 incorrect ( it is equal to 2)
F) 4^log2(4)[tex]\neq[/tex]4 incorrect ( it is equal to 16)