Answer and Step-by-step explanation:
Let us assume two boys are jogging.
Boy 1 jogging speed is 10 kilometres per hour
Boy 2 jogging speed is 20 kilometres per hour
This can be represented in terms of distance, d and time, t. When we do this, we have:
d = 10t boy 1
d = 20t boy 2
This implies that boy 1 rate of change is 10 kilometers for every one hour and boy 2 is 20 kilometers for every 1 hour.
From here, we can conclude that the rate of change of boy 2 is twice the rate of change of boy 1.
(x⁴ + 8x³ - 45x + 30) ÷ (x + 7)
Topic is Polynomials. Find the answer using long division. Please, provide detailed steps.
Answer:
Step-by-step explanation:
I added 3 images labelled Synthetic division 1 , 2 , 3 . I hope you understand this. It's really hard to type the method in the format so I used an online calculator symbolab.
Answer:
The quotient is: [tex]x^3+x^2-7x+4[/tex]
The remainder is: 2
Step-by-step explanation:
We need to solve the polynomials [tex](x^4 + 8x^3 - 45x + 30) \div (x + 7)[/tex]
by using long division.
The long division is done in figure attached.
The quotient is: [tex]x^3+x^2-7x+4[/tex]
The remainder is: 2
Solve for x.
15
20
Х
12
X=
Enter the number that belongs in the green box.
= [?]
Enter
Answer:
The value of x = 9
Step-by-step explanation:
Angle Bisector Theorem
An angle bisector of a triangle would cut the opposite side into two segments that are proportional to the other two sides of the triangle.
Thus,
[tex]\frac{x}{15}=\:\frac{12}{20}[/tex]
Cross Multiply the expression
[tex]\:20\times x=12\times 15[/tex]
Divide both sides by 20
[tex]\frac{20x }{20}=\frac{180}{20}[/tex]
[tex]x=9[/tex]
Therefore, the value of x = 9
1. 100= 125x^2 find x using logarithms
Answer:
Step-by-step explanation:
Answer:
x =2√55,−2√55
Decimal Form: x=0.89442719…,−0.89442719…
Step-by-step explanation:
Graph y < x and y ≥ 4x + 2
Answer:
Image is attached.
Step-by-step explanation:
Remember since the blue line is greater than, instead of being dashed like the red line, it's solid.
what is the improper fraction of 1 1/8
What does bc equal ?
Answer:
180
Step-by-step explanation:
What should be done to both sides of the equation in order to solve n/4 = -12.4?
A. Multiply by 4.
B. Divide by 4.
C. Multiply by -12.4.
D. Divide by -12.4.
Answer:
I think is The little (D) -12.4.
Write in terms of i . Simplify your answer as much as possible. Square root -27
Answer:
3i[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] and [tex]\sqrt{-1}[/tex] = i
Given
[tex]\sqrt{-27}[/tex]
= [tex]\sqrt{9(3)(-1)}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex] × [tex]\sqrt{-1}[/tex]
= 3i[tex]\sqrt{3}[/tex]
2b + 9 when b = 3 I Really need help in math
Step-by-step explanation:
=2b+9
=2×3+9
=6+9
=15
hope it helps.
Traveling upstream (against the current) in a boat, you can travel 35 miles in 7 hours. It
takes half the time (3.5 hours) to travel the same distance downstream (with the
current). Find the speed of the current.
Answer:
The speed of the current is 2.5 miles per hour
Step-by-step explanation:
Systems of Equations
Let's call:
B = velocity of the boat
C = velocity of the current
When traveling upstream, the current is against the boat thus the relative velocity is B-C.
The distance is the product of the velocity by the time. Since the boat takes 7 hours to travel 35 miles upstream, thus:
d=(B-C)*7=35
Dividing by 7:
B - C = 5 [1]
When traveling downstream, the current and the boat are collaborative and the relative velocity is B+C. The travel takes now 3.5 hours, thus:
d=(B+C)*3.5=35
Dividing by 3.5:
B + C = 10 [2]
Subtracting [2] - [1]:
2C = 5
C = 5/2 = 2.5
The speed of the current is 2.5 miles per hour
Could someone help me with this one? I'm a tad stuck. I'll give brainliest to the correct answer!
Answer: 130 or a
Step-by-step explanation: 360-230=130
Answer:
130°
Step-by-step explanation:
First step you need draw a line from X to O and line Z to O. Both of them are radius.
as we know, radius and tangent line are always perpendicular. so the degree is 90° each.
shape of XYZO is kite with total of 360°
so the arc XZ have
360 - 50 - 90 - 90 = 130°
a movie is advertised to last 2 1/3 hours. Of this time, 1/4 is used for showing previews. How long long is the actual movie?
Answer:
The movie is actually 3/28 hours.
Step-by-step explanation:
1
4
÷
2 1
3
=
1
4
÷
7
3
=
1
4
×
3
7
=
1 × 3
4 × 7
=
3
28
Please I really need help
Answer:
it would be 1/3
Step-by-step explanation:
Answer: 1/3 chance
Step-by-step explanation:
In total there are 21 animals, 7 of which are a goat or a cow, 7/21 simplified is 1/3
The difference of y and 8.1 is 20.
Flnd the value of y.
Answer:
y = 28.1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Set Up Equation
"Difference" is subtraction
"y" is y
"8.1" is 8.1
"is" is equal
"20" is 20
y - 8.1 = 20
Step 2: Solve for y
Add 8.1 to both sides: y = 28.1Among us code: QZUVDF
Answer:
cool imma join what is the map?
Answer:
aww man im too late
Step-by-step explanation:
vote me for homecomeing XD
Kiran and Clare live 24 miles away from each other along a rail trail. One Saturday, the two friends started walking toward each other along the trail at 8:00 a.m. with a plan to have a picnic when they meet.
ANSWER: Kiran is jogging at 9.6 miles per hour.
Solve for x
A. 27 B. 37 C. 30 D. 31
Answer:
A
Step-by-step explanation:
i think
Humans living in highly populated areas are more inclined to _______. a. violence b. socially isolate c. appetite loss d. all of the above
Answer:
Humans living in highly populated areas are more inclined to violence.
Answer:
A. Violence
Step-by-step explanation:
got it right, hope this helps!
help me plz (geometry)
Answer:
I’m pretty sure it’s A
Round each number to the tenths place.
0.95
0.63
0.555
the points (-5,4)and (1,r) lie on a line with slope -1. Find the missing coordinates r.
Answer:
R has to be -2
Step-by-step explanation:
So to find a slope the formula is written as
Y2-Y1/ X2 -X1
We know X1 and X2 and Y1.
If we plug those in and put Y2 as the variable ”r”
You’ll get
[tex]\frac{r-4}{1+5}[/tex]
Now make that equal to -1 since thats the slope
If you solve the equation it should get you -2
Graph the equation 4x+9-3/5=10xy^3-49. Then solve for the square root of x
Answer: 4x+9-3/5=10xy^3-49
Step-by-step explanation: x+9-3/5-(10*x*y^3-49)=0
STEP
1
:
Equation at the end of step 1
3
((4x + 9) - —) - ((2•5xy3) - 49) = 0
5
STEP
2
:
3
Simplify —
5
Equation at the end of step
2
:
3
((4x + 9) - —) - (10xy3 - 49) = 0
5
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 5 as the denominator :
4x + 9 (4x + 9) • 5
4x + 9 = —————— = ————————————
1 5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(4x+9) • 5 - (3) 20x + 42
———————————————— = ————————
5 5
Someone help ill mark brainless
Answer:
b) 18
Step-by-step explanation:
Plug in 25 for x in the equation.
ie: y=.9(25)-4.5
Then solve using a calculator.
The answer should be 18
the sum of 1 and y is greater than or equal to 3 .
Inequality Answer: 1 + y ≥ 3
I hope this helps, and Happy Holidays! :)
A letter is chosen at random from the letters of the word ASSASSINATION, then the probability that the letter chosen is a vowel is in the form of 6/2x+1, then find x.
Step-by-step explanation:
In the word "Assassination",
there are 13 letters in total and 6 vowels.
Probability of picking a vowel = 6/13.
Since 6/(2x + 1) = 6/13, 2x + 1 = 13, x = 6.
Please help !!
[90 points if correct]
Answer:
2201.8348 ; 3 ; x / (1 + 0.01)
Step-by-step explanation:
1)
Final amount (A) = 2400 ; rate (r) = 6% = 0.06, time, t = 1.5 years
Sum = principal = p
Using the relation :
A = p(1 + rt)
2400 = p(1 + 0.06(1.5))
2400 = p(1 + 0.09)
2400 = p(1.09)
p = 2400 / 1.09
p = 2201.8348
2.)
12000 amount to 15600 at 10% simple interest
A = p(1 + rt)
15600 = 12000(1 + 0.1t)
15600 = 12000 + 1200t
15600 - 12000 = 1200t
3600 = 1200t
t = 3600 / 1200
t = 3 years
3.)
A = p(1 + rt)
x = p(1 + x/100 * 1/x)
x = p(1 + x /100x)
x = p(1 + 1 / 100)
x = p(1 + 0.01)
x = p(1.01)
x / 1.01 = p
x / (1 + 0.01)
Answer:
2201.8348 ; 3 ; x / (1 + 0.01)
Step-by-step explanation:
Hope this helps! (:
what is (–5) 2 and how do i solve
Answer:
(−5)2
Multiply −5 and 2 to get −10.
−10
WILL GIVE BRAINELIEST ( dont know how to spell it lol)
Temperature can be measured in degrees Celsius (°C). A temperature of 0°C is the freezing point of water. Which statements are true?
Select all correct answers.
A temperature of 10°C is colder than –12°C.
A temperature of 10°C is colder than –12°C.
When the temperature is 70° above freezing, the temperature is 70°C.
When the temperature is 70° above freezing, the temperature is 70°C.
A temperature of –16°C is colder than –12°C.
A temperature of –16°C is colder than –12°C.
A temperature of –8°C is colder than –12°C.
A temperature of –8°C is colder than –12°C.
A half degree above the freezing point is a negative number.
A half degree above the freezing point is a negative number.
When the temperature is 7° below freezing, the temperature is –7°C.
Answer:
When the temperature is 70° above freezing, the temperature is 70°C.
A temperature of –16°C is colder than –12°C.
When the temperature is 7° below freezing, the temperature is –7°C.
A temperature of 10°C is colder than –12°C.
When the temperature is 70° above freezing, the temperature is 70°C.
A temperature of –8°C is colder than –12°C.
When the temperature is 7° below freezing, the temperature is –7°C.
(05.01)A picture is 5 inches wide and 8 inches tall: A rectangle is shown. The length of the rectangle is labeled 5 inches. The width of the rectangle is labeled 8 inches. A photographer wants to use a scale factor of 2.5 to enlarge a picture. What will the area of the picture be after it is enlarged? 40 in2 250 in2 100 in2 81.9 in2
Answer:
B. 250 in²Step-by-step explanation:
Dimensions of the picture:
5 in and 8 inArea of the picture:
5*8 = 40 in²Scale factor = 2.5
Enlarged picture's area:
40*2.5*2.5 = 250 in² (scale factor affects both dimensions)Option B is correct
The area of the picture after it is enlarged is 250 inches².
Given that,
The length of the rectangle is labeled 5 inches. The width of the rectangle is labeled 8 inches.
A photographer wants to use a scale factor of 2.5 to enlarge a picture.
Based on the above information, the calculation is as follows:
Here, the dimensions of the picture are 5 in and 8 in
Hence, the area of the picture is,
5 × 8 = 40 in²
Since, Scale factor = 2.5
So, the enlarged picture's area would be,
40 × 2.5 ×2.5
= 250 in²
To learn more about the rectangle visit:
https://brainly.com/question/2607596
#SPJ6
Can somebody help me
Answer:
AB ≈ 3.14 ft
Step-by-step explanation:
The arc AB is calculated as
AB = circumference of circle × fraction of circle
= πd × [tex]\frac{45}{360}[/tex] ( where d is the diameter )
= 8π × [tex]\frac{1}{8}[/tex]
= π
≈ 3.14 ft ( to 2 dec. places )