Answer:
The distance between points 8 and -5 is 13
Step-by-step explanation:
We need to find distance between points 8 and -5
The formula used to find the distance is: [tex]Distance=|b-a|[/tex]
Absolute value is used to get only positive values. i.e |-1|=1 if required.
We are given: b=8 and a=-5
Putting values and finding distance
[tex]Distance=|b-a|\\Distance=|8-(-5)|\\Distance=|8+5|\\Dstance=|13|\\Distance=13[/tex]
So, the distance between points 8 and -5 is 13
Fatima has a car detailing service. She charges $15.00 for a vacuum,
$40.00 for exterior wash and wax, and $60.00 for complete interior clean
including shampooing all upholstery. last week she had a busy week. She
had 7 vacuum jobs, 23 exterior wash and wax jobs, and 15 complete
interior cleans jobs. How much did she make all together for vacuuming
jobs?
A.15
B. 105
C. 50
D. 85
Answer:
1
Step-by-step explanation:
Answer is B
B. 105
Hope this helps
Angela is riding a scooter around her neighborhood. The front wheel has a diameter of 10 inches and the back wheel has a diameter of 5 inches. The scooter is moving at a speed of 10 inches per second.
As she is riding her scooter, a spider hops onto the front wheel. Angela looks down and thinks that if the praying mantis has a good grip that he will go all the way around the wheel in just 1 second. Is Angela right or wrong? Why?
If she is wrong find the amount of time it will take to go all the way around
Answer:
i. Angela is wrong. Because the diameter of the wheel is not the distance covered all the way round.
ii. The time is 3.14 seconds.
Step-by-step explanation:
The font wheel has a diameter of 10 inches. Thus;
radius = [tex]\frac{diameter}{2}[/tex]
= [tex]\frac{10}{2}[/tex]
= 5 inches
Circumference of a circle = 2[tex]\pi[/tex]r
⇒ The circumference of the front wheel = 2[tex]\pi[/tex]r
= 2 x [tex]\frac{22}{7}[/tex] x 5
= 31.4286
The circumference of the front wheel is 31.43 inches.
The total distance to be covered by the mantis = circumference of the front wheel
= 31.43 inches
But,
speed = [tex]\frac{distance}{time}[/tex]
The scooter moves with a speed of 10 inches per second, so that;
10 = [tex]\frac{31.43}{time}[/tex]
⇒ time = [tex]\frac{31.43}{10}[/tex]
= 3.143 s
The time taken to complete a revolution by the mantis is 3.14 seconds.
Therefore,
i. Angela is wrong. Because the diameter of the wheel is not the distance covered all the way round.
ii. The time is 3.14 seconds.
Hi. I need help with these questions.
See image for question.
Answer:
(a) P(1) = 3
(b) P(-2) = 15
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
P(x) = x³ + 4x² - 3x + 1
P(1) is x = 1
P(-2) is x = -2
Step 2: Evaluate
P(1)
Substitute: P(1) = 1³ + 4(1)² - 3(1) + 1Exponents: P(1) = 1 + 4(1) - 3(1) + 1Multiply: P(1) = 1 + 4 - 3 + 1Add: P(1) = 5 - 3 + 1Subtract: P(1) = 2 + 1Add: P(1) = 3P(-2)
Substitute: P(-2) = (-2)³ + 4(-2)² - 3(-2) + 1Exponents: P(-2) = -8 + 4(4) - 3(-2) + 1Multiply: P(-2) = -8 + 16 + 6 + 1Add: P(-2) = 8 + 6 + 1Add: P(-2) = 14 + 1Add: P(-2) = 15Answer:
a) 3b) 15Step-by-step explanation:
GivenP(x) = x³ + 4x² - 3x + 1Finda) P( 1 ), b) P( - 2)SolutionSubstitute the value of x:
a) P(x) = x³ + 4x² - 3x + 1
P(1) = 1³ + 4(1)² - 3(1) + 1 = 1 + 4 - 3 + 1 = 3P(1) = 3b) P(x) = x³ + 4x² - 3x + 1
P(-2) = (-2)³ + 4(-2)² - 3(-2) + 1 = -8 + 16 + 6 + 1 = 15P(-2) = 1512). *
A radio transmission tower is 150 feet tall. How long should a guy wire be if it is to be attached 5 feet from
the top and is to make an angle of 20° with the ground? Give your answer to the nearest tenth of a foot.
a.159.6 ft
c. 154.3 ft
b. 424.0 ft
d. 438.6 ft
Option b is correct, the length of the guy wire should be 424.0 feet.
Let us denote the length of the guy wire as "x."
We can form a right triangle using the height of the tower, the distance from the top to where the guy wire is attached (5 feet), and the length of the guy wire (x).
In the right triangle, the sine of the angle is defined as the ratio of the opposite side (height of the tower - 5 feet) to the hypotenuse (length of the guy wire).
sin(20°) = (height of the tower - 5 feet) / x
To find x, we can rearrange the equation as follows:
x = (height of the tower - 5 feet) / sin(20°)
Substituting the given values:
x = (150 feet - 5 feet) / sin(20°)
x = 145 feet / 0.3420
x = 424.2 feet
Hence, the length of the guy wire should be approximately 424.0 feet.
To learn more on trigonometry click:
https://brainly.com/question/25122835
#SPJ6
original price of a pen:$1.50
tax:4%
Answer:
$1.56
Step-by-step explanation:
1.50 times 0.04 is 0.06
1.50+0.06
$1.56
Answer:
ANswer is $2.10.
Step-by-step explanation:
The tax is $.60 and you add that to $1.50.
What is the x-intercept of the equation 4x = 9y + 5
Write your answer in fraction form.
solve the equation:
p-19/6= -15/6
The slash is the fraction bar jsyn :)) pls help
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]p - \frac{19}{6} = - \frac{15}{6} \\ [/tex]
Add sides 19 / 6
[tex]p - \frac{19}{6} + \frac{19}{6} = - \frac{15}{6} + \frac{19}{6} \\ [/tex]
[tex]p = \frac{19 - 15}{6} \\ [/tex]
[tex]p = \frac{4}{6} \\ [/tex]
[tex]p = \frac{2 \times 2}{2 \times 3} \\ [/tex]
[tex]p = \frac{2}{3} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
hiii, if you do questions 7 and 8, ill mark brainly :) <3
Answer:
7) nth term a₁₈ is 160
8) nth term a₃₆ is 128
Step-by-step explanation:
7) Find nth term of each arithmetic sequence
[tex]a_1=7, d=9, n=18[/tex]
The formula used to find nth term is: [tex]a_n=a_1+(n-1)d[/tex]
Putting values and finding nth term n=18
[tex]a_n=a_1+(n-1)d\\a_{18}=7+(18-1)9\\a_{18}=7+(17)9\\a_{18}=7+153\\a_{18}=160[/tex]
So, nth term n₁₈ is 160
8) Find nth term of each arithmetic sequence
[tex]a_1=-12, d=4, n=36[/tex]
The formula used to find nth term is: [tex]a_n=a_1+(n-1)d[/tex]
Putting values and finding nth term n=36
[tex]a_n=a_1+(n-1)d\\a_{36}=-12+(36-1)4\\a_{36}=-12+(35)4\\a_{36}=-12+140\\a_{36}=128[/tex]
So, nth term n₃₆ is 128
Jenna works in an ice cream shop. When she starts her shift the tub of chocolate ice cream is 2/3 full. When she finishes her shift 6 1/2 h later,
there is only 1/6 of the tub left. What was the average hourly change in tub fullness?
13
1
13
5
39
5
39
Answer:
1/13
Step-by-step explanation:
Ice cream
starting = 2/3 full
After Jenna's shift = 1/6 of the tub
Total Time = 6.5hours
Amount of ice cream consumed = [tex]\frac{2}{3} - \frac{1}{6}[/tex]
= [tex]\frac{1}{2}[/tex] = 0.5
Rate per hour = amount of ice cream consumed -=/ total time
= 0.5/6.5 = 1/13 ice cream consumed per hour
x to the tenth power divided by x to the seventh power
Answer:
[tex]x^3[/tex]
Step-by-step explanation:
Division for exponents with the same base is just subtracting the exponents.
10 - 7 = 3
You'll get x to the third power because 10 minus 7 is 3.
Which equation represents the relationship between the x- values and the y- values in the table?
Answer:
It would be J
Step-by-step explanation:
Help me look at the picture
Answer:
it's B
Step-by-step explanation:
lol how do you not know this
Answer:
B
Step-by-step explanation:
what are the solutions to the quadratic equation 6x^2 + 24X = 0?
Answer: {0, -4}
Step-by-step explanation: Notice that the two terms on the left side
of the equation have a greatest common factor of 6x.
So start by factoring out a 6x to get 6x(x + 4) = 0.
So either 6x = 0 or x + 4 = 0.
Eventually we find that x = 0 or x = -4.
So our solution set is {0, -4}.
if anyone could please help me solve this i’d really appreciate it
Answer:
D. 26
Step-by-step explanation:
evaluate the fraction first
6+9
---
7-2
15
----
5
3
10 times 3 - 2 to the power of 2 which is 4
30-4 is 26
©
Simplify
2 X X X Y
Answer:
The question is not clear
solve this fast
3.5(2.25 + x) = 14
Answer:
Step-by-step explanation:
3.5(2.25+x)=14
x=1.75
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
x = 1.75
Can someone help me please
Answer:
it should be 9
Step-by-step explanation:
i already did this
Which of the following correctly demonstrates a verb tense shift? a. Kurtis is moving to a new city to start the job he was hired for. b. Kurtis moved to a new city and is started the new job he was hired for. c. Kurtis moved to a new city to starting the job he was hired for. d. Kurtis will be moving to a new city to started the job he was hired for. D is wrong
Answer: a. Kurtis is moving to a new city to start the job he was hired for.
Step-by-step explanation: "is moving" is present progressive tense.
"was hired" is passive past tense.
"to start" is an infinitive.
These are correct verb forms.
b is almost correct. Kurtis "moved" is OK in the past tense. *is started* should be "has started"
c is partly correct. *to starting* is ungrammatical here.
d is wrong because *to started* is always ungrammatical.
Why might you solve this system of equations by adding or subtracting? Explain fully.
2x + 3y = 4
2x - 3y = 8
which of these numbers are irrational? A) 4.3 B) -5/9 C) 1.618 D) _/6
Answer: Its C
Step-by-step explanation:
Well, this irrational, or never-ending, ratio starting with 1.618 has been given many names over the years including the “golden ratio” and the “divine proportion”.
0verall what im trying to say is, its c
PLEASE HELP ME IM DESPERATE!
Answer:
Slope = 3
Step-by-step explanation: If Wyatt is at (0,0), and the kite is at (24,72), then you use the slope formula:
(72-0) / (24-0)
72/24
3
Factor 20w + 70.
i need help!
Answer:
10(2w+7)
Step-by-step explanation:
What is the solution to this equation? x/-5=15
Answer:
x=75
Step-by-step explanation:
Answer:
x=-75
Step-by-step explanation:
Hope this helps.
please help:( i’m not sure....
Answer:
B. 2 ÷ 11
I hope this helps!
Solve for the unknown side.? Added photo.
1. What is the solution of the system of equations shown below?
y = 3x + 7
y = x-9
Answer:
x= -8
y= -17
Step-by-step explanation:
Answer:
If you trying to find x and y is the answer is:
x=-8 and y=-17
or
(-8,-17)
Step-by-step explanation:
First you need to subtract the two equations which becomes 2x+16=0
Now you move the 16 to the other side by subtracting 16 on both sides:
2x=-16
Now divide 2 on both sides to eliminate the 2 on 2x
x=-8
Now that you got -8 as x you can replace x on the two equations any one of them you only need to get one but I am going to use both of them to show you that it is the same:
y= 3(-8)+7
y=-17
y=-8-9
y=-17
Hope this helps!
The cafeteria at Local Middle School offers a choice of either a sandwich or soup every Thursday.
Of 55 students who purchased lunch this Thursday, 30 chose a sandwich.
What is the ratio of the number of students who chose a sandwich to all those who purchased lunch this Thursday?
Step-by-step explanation:
55-30 = 25
25 out of 55 chose the soup.
Hope that helps
Answer:
30:55
Step-by-step explanation:
30 out of the 55 students that bought lunch, bought sandwiches. So, 30 sandwiches to 55 students. It's a trick question that gives you all the information in the question itself, so it's fairly simple. I hope I'm right tho lol
Solve using the box method!
5.3 x 3.5 =
Lincoin Glass as a Christmas party for is employees each year. The
cost of food for the party comes to $24.95 a person. How much does
toositor 2175 employees?
Answer:
54266.25
Step-by-step explanation:
Hanna is plotting a point in coordinate space. She starts at the origin and moves backward eight units along the x-axis. Then she moves right one unit parallel to the y-axis. Finally, she moves down five units parallel to the z-axis and plots the point. What are the coordinates of the point that she plots?
Answer:
( -8,0, 0) , ( -8, 1, 0) and ( -8, 1, -5)
Step-by-step explanation:
We need to visualize the given situation in 3D
Coordinates is in the form of (x, y, z)
Henna starts from origin moves back 8 units Negative x-axis
x = -8 point will be ( -8,0, 0)
turning 1 unit right will be parallel to the y axis in positive y-axis direction
y = 1 point will be ( -8, 1, 0)
Moving down by 5 units, Negative z-axis
Z = -5 point will be ( -8, 1, -5)
Answer:
(-8,1,-5)
Step-by-step explanation:
Dont make it complicated, a whole paragraph for one answer is not needed