Answer:
1st term = 14
2nd term = 29
3rd term = 44
Step-by-step explanation:
1st term = 3 x (5 x 1) - 1
= 3 x 5 - 1
= 15 - 1 = 14
2nd term = 3 x (5 x 2) - 1
= 3 x 10 - 1
=30 - 1 = 29
3rd term = 3 x (5 x 3) -1
= 3 x 15 - 1
= 45 - 1 = 44
In 14b, is 14 the variable, coefficient, term, or product?
Answer:
Pretty sure its coefficient
Step-by-step explanation:
The polynomial equation x3- 4x2 + 2x+ 10 = x2 - 5x-3 has complex roots 3+2i. What is the other root? Use a graphing
calculator and a system of equations.
Answer:
Step-by-step explanation:
Given Equation:
x^3- 4x^2 + 2x+ 10 = x^2 - 5x-3
which simplifies to
x^3- 5x^2 + 7x+ 13 = 0
Given one of the roots is x = 3x+2i, the conjugate is therefore x = 3-2i.
The product is real, (x-3+2i)(x-3-2i) = x^2-6x+13
The other root can therefore be obtained by long division
(x^3- 5x^2 + 7x+ 13)/(x^2-6x+13) = x+1, or x=-1
Therefore the three roots are:
{x=3-2i, x=3+2i, x=-1 }
An animal shelter provides shelter for dogs and cats. The animal shelter currently has a total of 117 animals. If the number of cats is 3 more than 5 times the number of dogs, how many dogs and cats are currently at the animal shelter?
Answer:
98 cats and 19 dogs
Step-by-step explanation:
cat = c
dog = d
The animal shelter currently has a total of 117 animals
c + d = 117
c = 117 - d
the number of cats is 3 more than 5 times the number of dogs
c = 3 + 5d
subtitute c
117 - d = 3 + 5d
117 - 3 = 5d + d
114 = 6d
6d = 114
d = 114/6 = 19
so, the cat is 117-19 = 98
Simplify. Remove all perfect squares from inside the square root.
Answer:
2x²√13
Step-by-step explanation:
√52x⁴ = √4×13×x⁴ = 2x²√13
find the perimeter of the trapezoid
Answer:
Perimeter you add up all the sides. If it is a horizontal or vertical line, you just write those values for the side lengths. For the slanted one, I would use pythagorean theorem to solve it.
Step-by-step explanation:
If we make a right triangle using vertical and horizontal lines. We will find that a = 6, and b = 12. Find the square root of the sum of a squared plus b squared. That will tell you C. Then add C to the other 3 sides and that will give you the perimeter.
Write an equation of the line in point slope form given the information below slope= 7 point (1,4)
Answer:
y-4=7(x-1)
Step-by-step explanation:
y-y1=m(x-x1)
y-4=7(x-1)
The equation of the line with a slope of 7, passing through the point (1,4), in point-slope form is y = 7x - 3.
To write the equation of a line in point-slope form, we use the formula:
y - y₁ = m(x - x₁)
where m represents the slope of the line and (x₁, y₁) represents the coordinates of a point on the line.
In this case, the given slope is 7 and the point (1,4) lies on the line. Plugging in the values into the formula, we have:
y - 4 = 7(x - 1)
Simplifying the equation, we can distribute the 7:
y - 4 = 7x - 7
To isolate y, we can add 4 to both sides of the equation:
y = 7x - 7 + 4
y = 7x - 3
To learn more about point slope form click on,
https://brainly.com/question/30516997
#SPJ2
In the diagram below,
Answer:
<H = 40
Step-by-step explanation:
Complementary angles add to 90 degrees
2x+10 + x+20 = 90
Combine like terms
3x+30 = 90
Subtract 30
3x+30 -30 = 90-30
3x = 60
Divide by 3
3x/3 = 60/3
x = 20
<H = x+20 = 20+20 = 40
What is the image of the point(2,-5) after a rotation of 90 degree counterclockwise about the origin
Answer:
(-2,5)
Step-by-step explanation:
When a point is rotated counterclockwise 90 degrees about the origin then the coordinates of the image will be (x,y) → (-y,x).
Here, (5,2)→(-2,5)
Therefore , if (5,2) is rotated counterclockwise 90 degrees about the origin its image will be point (-2,5).
Hence, if (5,2) is rotated counterclockwise 90 degrees about the origin its image will be point (-2,5).
if this helped you can you slide a Brainliest :)
Pls help I need it ASAP it’s easy tho
Answer:
Step-by-step explanation:
360/2=180
5x+4x=180
9x=180
x=20
5×20:4×20
100:80
A map has a scale of 1:200000 How far is it from Belfast to Larne in Km if the distance on the map is 7.8cm
Answer:
15.6km
Step-by-step explanation:
Given the map scale 1:200000
1cm on the map represents 200000 cm on ground or in actual distance
Hence, if distance from Belfast to Larne is 7.8vm on map ;
Actual distance will be :
7.8 * 200000 = 1560000 cm
Converting to km :
Recall :
1000 m = 1km
100 cm = 1 m
Hence,
100000 cm = 1km
Therefore, (1560000 / 100000) km
= 15.6km
Hence, distance between Belfast and Larne is 15.6km
PLEASE HELP! (Look at photo)
Answer:
D.$.137.50
Step-by-step explanation:
$137.50*2=275.00+60=335
Answer: D
Step-by-step explanation:
335-60 = 275/2 = 137.5
Assuming two hikers begin at a trail start, which scenarios must be true based on the table? Check all that apply. Melissa and Corey started on different trails. Melissa hiked up the trail for a longer period of time than Corey. Melissa and Corey crossed paths between 60 and 90 minutes. Corey began his descent before Melissa. As Melissa’s time increased from 0 to 60 minutes, her elevation decreased.
Answer:
1. Melissa and Corey started on different trails.
2. Melissa hiked up the trail for a longer period of time than Corey.
3. Melissa and Corey crossed paths between 60 and 90 minutes.
4. Corey began his descent before Melissa.
Step-by-step explanation:
A. Melissa and Corey started on different trails. - TRUE
Rationale: at the start, when t = 0, Melissa hiking trail elevation was 8,342 ft while that of Corey was 10,004 ft. Therefore, they started on different trails.
B. Melissa hiked up the trail for a longer period of time than Corey. - TRUE
Rationale: It took Melissa 90 mins to reach the highest elevation of 12,921 while it took just 60 mins for Corey to teach same elevation height at 60 mins
C. Melissa and Corey crossed paths between 60 and 90 minutes. - TRUE
Rationale: As Melissa was still ascending between 60 - 90 mins from 11,239 to 12,921, Corey was descending at the same time . So their path crossed.
D. Corey began his descent before Melissa. - TRUE
Rationale: Corey started descending earlier at 60 mins before Melissa
E. As Melissa’s time increased from 0 to 60 minutes, her elevation decreased. - FALSE
Rationale: as Melissa's time increased from 0 to 60 mins, her elevation increased also from 8,342 ft to 11,239 ft.
Answer:
A) Melissa and Corey started on different trails.
B) Melissa hiked up the trail for a longer period of time than Corey.
D) Corey began his descent before Melissa.
Step-by-step explanation:
I got it right on Edge :D
simplify and show your work
Answer
math way search it
Step-by-step explanation:
Helppppppppppppppppppp I’ll mark you brainlist don’t respond if you’re going to put something random I will report you :)
Answer:
the slope is 2.5
(from x=0 to x=2 it goes up by 5)
-2 is the intercept with the y-Axis
the general formula is:
y = m*x + b
where m is the slope and b the intercept
here you go:
y = 2.5x -2
pls brainliest
Laura wants to place one flowerpot every meters along the path from the gate to the main entrance of her home. The path is meters long. How many flowerpots will she need?
Answer:
16 flower pots
Step-by-step explanation:
Length of path = 12 m long
Flower pot is placed every 3/4 m along the path ;
Number of flower pots required = (length of path / length of distance placed)
Number of flower pots required = 12 ÷ 3/4
12 * 4/3 = (12 * 4) / 3 = 48 / 3 = 16 flower pots
Answer:
16 flower pots
Step-by-step explanation:
solve the quadratic functions using the quadratic formula. List the zero(s)/x-intercept(s)
1) 3x^2-2x-8=0
2) 2x^2-6x-56=0
1) x= 2, -4/3
2) x= 7, -4
i hope this is what you were asking
the lenths of the sides of a triangle are in the extended ratio 5:9:10. the perimeter of the triangle is 48 cm. what are the lengths of the sides?
Answer:
What's my age im 1300
Step-by-step explanation:
Answer:
The sides are of lengths 10, 18, 20
Step-by-step explanation:
Perimeter = 48
Lengths of the sides
5:9:10 * (48/(5+9+10) = 5:9:10 * (48/24) = 10:18:20
The sides are of lengths 10, 18, 20
Anyone know the answer to this
Answer:
c
Step-by-step explanation:
Please help Thank you
Answer:
[tex]c=13feet[/tex]
Step-by-step explanation:
[tex]c^{2} =a^{2} +b^{2}[/tex]
[tex]c^{2} =5^{2} +12^{2}[/tex]
[tex]c^{2} =25+144[/tex]
[tex]c^{2} =169[/tex]
[tex]c=\sqrt{169}[/tex]
[tex]c=13feet[/tex]
Hope this helps,
Have a great day ahead :)
help very easy 5th grade math im in rush please help im very tired
Answer:
D
Hope that this helps!
starts at +8 and move -3 . starts at -8 and move-3 . start at 0 and -3. starts at +4 and move -4.
Answer:
end -8 and move -3 . start at -8 and move -3
Vanessa received a $12,000 loan from the bank to buy a motorcycle. She will repay the loan to the bank with an $300 monthly payment.
Answer:
40 months
Step-by-step explanation:
It will take Vanessa 40 months or 3 years and 4 months to repay the bank their loan amount(without interest ofc).
Answer:
Time = 42 months
Step-by-step explanation:
[tex]Monthly \ payment = [rate + \frac{rate}{(1 + rate)^{month}-1}] \times principal[/tex]
Monthly payment = 300
Principal = 12000
[tex]Rate \% = \frac{300}{12000} \times 100 = \frac{30}{12} = \frac{5}{2} = 2.5[/tex]
Substituting and solving Months = 42 months
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Using the properties of integer exponents, match each expression with its equivalent expression. ArrowRight arrowRight arrowRight arrowRight
Answer:
Please find the complete question in the attached file.
Step-by-step explanation:
For question 1:
[tex]\to 5^{-3}=\frac{1}{5^3}=\frac{1}{5\times 5 \times 5}= \frac{1}{125}\\\\[/tex]
For question 2:
[tex]\to -5^{-3}=-\frac{1}{5^3}=-\frac{1}{5\times 5 \times 5}= -\frac{1}{125}\\\\[/tex]
For question 3:
[tex]\to -(5^{-3})^{-1}=-(\frac{1}{5^3})^{-1}=-(5 \times 5 \times 5)= -125\\\\[/tex]
For question 4:
[tex]\to -(5^{-3})^{0}=-(\frac{1}{5^3})^{0}=-(\frac{1}{5 \times 5 \times 5})^0= (-\frac{1}{125})^0=1\\\\[/tex]
This is the answer
To the question
The world's largest cookie was baked in North Carolina in 2003. Its diameter was 100 feet and it contained about 6,000 pounds of chocolate chips! If the cookie was a cylinder 1 foot tall, and you wanted to cover it with icing, how many square inches would you have to ice? Use 3.14 for .
Answer:
16022 square foot
Step-by-step explanation:
The world's largest cookie was baked in North Carolina in 2003. Its diameter was 100 feet and it contained about 6,000 pounds of chocolate chips! If the cookie was a cylinder 1 foot tall, and you wanted to cover it with icing, how many square inches would you have to ice? Use 3.14 for .
We find the surface area of the cylinder
= 2πr(r + h)
r = Diameter /2 = 100 feet/2
r = 50 feet
h = 1 feet
Hence
2 × 3.14 × 50(50 + 1)
= 16022.122533 square foot
= 16022 square foot
PLEASE ANSWER!
ILY IF U DO!
Answer:
400
Step-by-step explanation:
(8*11*4)+(2*8*3)=400
^you find volume of each and then add together
pls mark brainliest :)
Answer:
400 cubic centimeters
Step-by-step explanation:
First box:
11(4)(8) = 352
Second box:
2(8)(3) = 48
352 + 48 = 400 cubic cm
HELP ASAP IM BEING TIMEDD
Answer:
53/100
Step-by-step explanation:
First, we convert the fraction to a decimal number by dividing the numerator by the denominator:
8 / 15 = 0.533
There are two parts to the decimal number above:
Integer Part: 0
Fractional Part: 533
Now, we will make the Fractional Part just two digits (nearest hundredth) by using our rounding rules.*
In this case, Rule I applies, so 8/15 (or 0.533) rounded to the nearest hundredth in decimal format is:
0.53
Next, we will make 8/15 rounded to the nearest hundredth in fraction format. Since you can divide our decimal format answer above by 1 and keep the same value, you can make it like this:
0.53 = 0.53/1
Then, we multiply the numerator and denominator by 100 to get rid of the decimal point:
(0.53 x 100) / (1 x 100) = 53/100
That's it. 8/15 rounded to the nearest hundredth is displayed below (simplified if necessary):
53/100
Answer:
53.33% is the correct answer
PLEASEE HELP I NEED ASAP TY SM
Answer:
51
Step-by-step explanation:
166-13=153
153/3=51
51
sorry if that didn't make sense, that is just how i solved it
Which of the following has no solution? 5x−10=x+20 2(6+x)=14+2x 0x+5=3(5x+7) 2(4+x)=8+2x
Answer:
2(6+x)=14+2x
Step-by-step explanation:
There are no solutions
Oscar rides his skateboard
58mile in14hour. How fast, in miles per hour, does he ride his skateboard?
Answer:
4
Step-by-step explanation:
Answer:
the answer to this is 4 mph
Step-by-step explanation:
i think sorry if it is wrong
-12x2x-1
pls tell noob nerds sssssssssssssssssssssssssssss
[tex]\sf\purple{24}[/tex] ✅
Step-by-step explanation:-
[tex] - 12 \times 2 \times - 1 \\ = 24[/tex]
Note:-
[tex]( - \times - ) = + [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]