Answer:
it's 4,1600
Step-by-step explanation:
I hope my answer can help you
An arithmetic sequence has second term 28 and the fifth term 52. (3 marks) a. Find u1 and d. b. Find u10
Answer: See explanation
Step-by-step explanation:
Second term = a + d = 28 ....... i
Fifth term = a + 4d = 52 ......... ii
Subtract equation I from ii
3d = 24
d = 24/3 = 8
d = common difference = 8
Since a + d = 28
a + 8 = 28
a = 28 - 8 = 20
First term = a = 20
u10 = a + (n-1)d
= a + (10-1)8
= 20 + (9 × 8)
= 20 + 72
= 92
sorry but the last answer is a bit glitched out
Answer:
Because of the options you have, I believe it is GJ
Step-by-step explanation:
Hope that helps!
A steel bridge is 1000m lang at 20 degrees celsius. The bridge will expand or contract by .10m when the temperature changes by 1 degree celsius. How long would the bridge be at 24 degrees celsius? *
Answer:
1000.4m
Step-by-step explanation:
Objects usually expand when the temperature is warmer
Each degree celsius higher, the bridge expands by .10m
If the temperature goes from 20 to 24, it increases by 4 degrees which will be 0.4m
1000m+0.4m=1000.4m
What is the volume of this rectangular prism?
1/4 cm,
1/2 cm,
1/3 cm
Reduce the fraction to its simplest terms.
Since a middle school opened, the boys basketball team has had the same record every season. The team has won a total of 130 games while losing only 10 games. Find the constant of proportionality of wins to losses.
Answer: 1:13 or for every 10 games they will lose one game
Step-by-step explanation:
HELP! WILL GIVE BRAINLY!!! Find the volume of a cylinder with height = 10ft and the diameter of the base circle is 12ft.
Answer:
About 1,130.4 Cubic Feet
(My previous answer was a mistake. It has now been corrected)
Step-by-step explanation:
The Volume of a cylinder = Height * Pi * Radius^2
The radius is half the diameter, so 12 ÷ 2 = 6
Pi rounded to the hundredth place is 3.14.
Volume = 10 * 3.14 * 6^2 = 1,130.4
Therefore the Volume is about 1,130.4 cubic feet.
Answer:
Exact Volume = 360pi cubic feet
Approximate Volume = 1130.4 cubic feet
The approximate volume is found when you use pi = 3.14; use more decimal digits of pi to get a more accurate value.
===========================================================
Explanation:
The volume of a cylinder is found by the formula
V = pi*r^2*h
where,
pi = 3.14 approximatelyr = radius = 6 ft, since the radius is half the diameter.h = height = 10 ftSo,
V = pi*r^2*h
V = pi*6^2*10
V = pi*36*10
V = pi*360
V = 360pi ........... exact volume in terms of pi
V = 360*3.14
V = 1130.4 ......... approximate volume if you use pi = 3.14
The units of the volume are in "cubic feet" which we can abbreviate to "ft^3". Think of a 1 ft by 1 ft by 1 ft cube. The volume would be 1*1*1 = 1 cubic foot. So basically having a volume of roughly 1130 cubic feet means we need this many cubic blocks to form the cylinder (some of the blocks will be cut up to be able to fit).
triangle ABD~ triangle DBC the perimeter of triangle ABD=36, fond the perimeter of triangle DBC.
Answer:
Perimeter of ΔDBC = 48 units
Step-by-step explanation:
It's given in he question,
ΔABD ~ ΔDBC
Therefore, by the definition of similar triangles,
Corresponding sides of both the triangle will be proportional.
[tex]\frac{AB}{DB}= \frac{BD}{BC}= \frac{AD}{DC}[/tex]
[tex]\frac{9}{12}= \frac{12}{16}= \frac{AD}{DC}[/tex]
[tex]\frac{3}{4}=\frac{AD}{DC}[/tex]
AD = [tex]\frac{3}{4}DC[/tex] ----------(1)
Since, perimeter of ΔABD = 36,
AB + BD + AD = 36
9 + 12 + AD = 36
AD = 36 - 21
AD = 15
From equation (1),
15 = [tex]\frac{3}{4}(DC)[/tex]
DC = 20
Perimeter of ΔDBC = DB + BC + DC
= 12 + 16 + 20
= 48
Therefore, perimeter of ΔDBC = 48 units is the answer.
What are the intercepts of the graphed function?
x-intercept = (0, –1) y-intercept = (0, –3)
x-intercept = (0, –1) y-intercept = (–3, 0)
x-intercept = (–1, 0) y-intercept = (0, –3)
x-intercept = (–1, 0) y-intercept = (–3, 0) Oops! The y-intercept was incorrect!
Answer:
The first option.
Step-by-step explanation:
Math Teacher is giving extra credit to who ever can come up with the best theme for his kids birthday party!!!
I will give a Branliest!
Has To Be A Movie!!!!
You can choose
A. Hunger Games
B. Men in Black
C. Classic Horror Movies
D. Jurassic Park
OR!!
Awnser With your own suggestion!!!!!!!
Step-by-step explanation:
i think it is sponge Bob square pants
Find the unknown side length x. Write your answer in simplest radical form
Answer:
B
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 30² = 50²
x² + 900 = 2500 ( subtract 900 from both sides )
x² = 1600 ( take the square root of both sides )
x = [tex]\sqrt{1600}[/tex] = 40 → B
What is another way of writing the following expression?
4 + 5 + 2
Answer:
2+4+5 or 5+4+2 it functions in all the ways Simce it is sum XD
5xy4 25x2y 5x2y2 What is the greatest common factor (GCF) of the monomials shown above?
Answer:
5xy
Step-by-step explanation:
I'm going out on a limb and assuming exponents.
[tex]5xy^{2} \\25x^{2}y \\5x^{2} y^{2}[/tex]
We can note that 5 is a common factor for the coefficients. All the terms share at least one x. All the terms share all least one y. So the GCF of these monomials is 5xy.
Work out, giving your answer in its simplest form:
4/7 divided by 2 1 / 3
Step-by-step explanation:
4/7÷21/3
=4/7*3/21
=12/147
Answer:
[tex]\frac{12}{49}[/tex]
Step-by-step explanation:
Given
[tex]\frac{4}{7}[/tex] ÷ 2 [tex]\frac{1}{3}[/tex] ← change mixed number to improper fraction
= [tex]\frac{4}{7}[/tex] ÷ [tex]\frac{7}{3}[/tex]
To perform the division
Leave the first fraction. change division to multiplication and turn the second fraction upside down.
= [tex]\frac{4}{7}[/tex] × [tex]\frac{3}{7}[/tex] ← multiply numerators/ denominators together
= [tex]\frac{4(3)}{7(7)}[/tex]
= [tex]\frac{12}{49}[/tex]
What is m/3= -1.5 what is m???
Answer:
-4.5
Step-by-step explanation:
M would be -4.5 because if you multiply -1.5 by 3 you get -4.5. Therefore the equation would be -4.5/3= -1.5 .
Hope this helps :))
Helppppp, I don’t knowwww
Answer:
1 and 4 and 2
Step-by-step explanation:
0.92 repeating as a fraction
(0.9222222222222222222........)
Answer:
0.9222222222222222/1
Step-by-step explanation:
PPPPPPPPPPPPPPPPPPPPPPPPPPPPplwlwlwlwlwlwlwlEEEEEEEEEEEEEEEEASE
Which equation is true?
Answer:
i think its the 3rd option
Need help!!!! ahaaaaaa
Answer:
Not sure if I am right but this is what I did. I have attached a picture of me solving the equation. Hope this helps, thank you !!
The temperature is −3.4 degrees Celsius. The temperature goes down 7.9 by degrees. What is the new temperature? pls help me its due in 10
Answer:
-11.3 is the answer
Step-by-step explanation:
because -3.4-7.9= -11.3
factor the expression below
x^2-49
Answer:
(x+7)(x-7)
Mark my answer as Brainlist.
The compound interest on a sum of money in
2 years and 4 years are Rs 5,460 and Rs 12,066.60
respectively. Find the difference between principal
and compound interest of 3 years.
Answer:
The difference between the principal and the compound interest in three years is Rs 17,994
Step-by-step explanation:
The compound interest is given according to the following formula;
[tex]C.I. = P \cdot \left ( 1 + \dfrac{r}{n} \right ) ^{n\cdot t} - P[/tex]
The given amount of the compound after 2 years = Rs 5,460
The given amount of the compound after 4 years = Rs 12,066.60
Therefore, we have;
[tex]5,460 = P \cdot \left ( 1 + \dfrac{r}{100} \right ) ^{2} - P[/tex]...(1)
[tex]12,066.60 = P \cdot \left ( 1 + \dfrac{r}{100} \right ) ^{4} - P[/tex] ...(2)
Dividing equation (2) by (1), we have;
[tex]\dfrac{12,066.60}{5,460} = \dfrac{P \cdot \left ( \left ( 1 + \dfrac{r}{100} \right ) ^{4} - 1\right )}{P \cdot \left (\left ( 1 + \dfrac{r}{100} \right ) ^{2} -1 \right ) } =\dfrac{\left ( 1 + \dfrac{r}{100} \right ) ^{4} - 1}{\left ( 1 + \dfrac{r}{100} \right ) ^{2} -1 }[/tex]
[tex]Let \ \left ( 1 + \dfrac{r}{100} \right ) ^{2} = x, we \ get;[/tex]
[tex]\dfrac{12,066.60}{5,460} =\dfrac{\left ( 1 + \dfrac{r}{100} \right ) ^{4} - 1}{\left ( 1 + \dfrac{r}{100} \right ) ^{2} -1 } = \dfrac{x^2 - 1}{x - 1}[/tex]
∴ 12,066.60 × (x - 1) = 5,460 × (x² - 1) = 5,460 × (x - 1) ×(x + 1)
∴ 12,066.60 × (x - 1)/(x - 1) = 5,460 × (x + 1)
12,066.60/5,460 = x + 1
x = 12,066.60/5,460 - 1 = 1.21 = 121/100
x = 121/100
[tex]\left ( 1 + \dfrac{r}{100} \right ) ^{2} = x = \dfrac{121}{100}[/tex]
[tex]1 + \dfrac{r}{100} =\sqrt{ \dfrac{121}{100}} = \dfrac{11}{10}[/tex]
We get
[tex]\dfrac{12,066.60}{5,460} =\dfrac{221}{100}[/tex]
[tex]\therefore \dfrac{12,066.60}{5,460} =\dfrac{221}{100} = \left ( 1 + \dfrac{r}{100} \right ) ^{2}[/tex]
[tex]1 + \dfrac{r}{100} = \sqrt{ \dfrac{221}{100} } = \dfrac{\sqrt{221} }{10}[/tex]
[tex]\dfrac{r}{100} = \dfrac{\sqrt{221} }{10} - 1[/tex]
[tex]\dfrac{r}{100} = \dfrac{11}{10} - 1 = \dfrac{1}{10} = 0.1[/tex]
r = 100 × 0.1 = 10%
r = 10%
Therefore, we have;
[tex]5,460 = P \cdot \left ( 1 + \dfrac{r}{100} \right ) ^{2} - P = P \times \left ( 1 + 0.1\right ) ^{2} - P[/tex]
[tex]5,460 = P \times \left ( 1 + 0.1\right ) ^{2} - P = P \times \left (\left ( 1 + 0.1\right ) ^{2} - 1\right) = P \times \dfrac{21}{100}[/tex]
[tex]P = \dfrac{100}{21} \times 5,460 = 26,000[/tex]
The principal = Rs. 26,000
The compound interest in 3 years is therefore;
[tex]CI_3 = 26,000 \times \left ( 1 + \dfrac{10}{100} \right ) ^{3} - 26,000= 8606[/tex]
The difference, 'd', between the principal and the compound interest in three years, is given as follows;
d = P - CI₃
d = 26,600 - 8606 = 17994
The difference between the principal and the compound interest in three years, d = Rs 17,994.
if anyone is able to help please do :)
Answer:
49.12?
Step-by-step explanation:
half circle= 4 squared *3.14/2=25.12
triangle=pythagorean theorem to find h=8. 8*6/2= 24
25.12+24=49.12
A water tank holds 1,088 gallons but is leaking at a rate of 5 gallons per week. A second water tank holds
1,360 gallons but is leaking at a rate of 9 gallons per week. After how many weeks will the amount of
water in the two tanks be the same?
The amount of water in the two tanks will be the same in
weeks.
The first tank hold 1088 - 5t gallons of water after t weeks, while the seocnd tank holds 1360 - 9t gallons after t weeks.
Both tanks hold the same amount of water when
1088 - 5t = 1360 - 9t
Solve for t :
4t = 272
t = 68
So the tanks will hold the same amount of water after 68 weeks.
Which pair of numbers has a sum of 100?
( A) 39,61
(B) 49,61
(C) 59, 51
(D) 39,51
Answer:
a
Step-by-step explanation:
39+61 is the only pair that make 100.
Sam complete 3 math problems in 8 minutes. How long will it take to do 15 problems?
Answer:
40 minutes
Step-by-step explanation:
Math Problems 3 15
---------------------- ----- = ------
Minutes 8 x
3x = 15 * 8
x = 15 * 8 / 3
x = 120 / 3
x = 40
40 Minutes
MATH PROBLEM SPLVE ASAP PLS
9514 1404 393
Answer:
(B) stretch & reflection
Step-by-step explanation:
The original function is multiplied by -1.7. This has a negative sign, so will cause the graph to be reflected across the x-axis. The magnitude is greater than 1, so the reflected function will be a stretch of the original.
How do you solve -8 -x = x -4x
Answer:
hey there
x = 4
Step-by-step explanation:
Let's solve your equation step-by-step.
−8−x=x−4x
Step 1: Simplify both sides of the equation.
−8−x=x−4x
−8+−x=x+−4x
−x−8=(x+−4x)(Combine Like Terms)
−x−8=−3x
−x−8=−3x
Step 2: Add 3x to both sides.
−x−8+3x=−3x+3x
2x−8=0
Step 3: Add 8 to both sides.
2x−8+8=0+8
2x=8
Step 4: Divide both sides by 2.
2x/2 = 8/2
x= 4
have a good day!!!
Answer:
x= 4
Isolate the variable by dividing each side by factors that don't contain the variable.
You are schools you are a school supply shopping in together as a package of six pink pencils for 250 how much does each pencil cost
Answer:
41.67 dollars
Step-by-step explanation:
because 250/6= 41.6666666667
that rounded is 41.67 dollars
PLEASE HELP ME WITH THIS I WILL MARK BRAINLIEST
Answer:
a=60
Step-by-step explanation:
all you do is add 90+135+75 which is 300
then subtract 300 from 360, which is 60
360-(90+135+75)=60