1.
a) metres to centimetres :
multiply length by 100
b) metres to millimetres:
multiply length by 1000
c) kilograms to grams:
multiply the mass value by 1000
d) litres to millilitres :
multiply volume by 1000
2.
a) 3 m = 3× 100 = 300 cm
b) 28 cm = 28 × 10 = 280 mm
c) 2.4 km = 2.4 × 1000
= 24 × 10^-1 × 10^3
= 24 × 10^2 =2400 m
d) 485 mm =485 / 10
= 485 / 10 ^1
= 485 × 10 ^-1
= 48.5 cm
e) 35 cm = 35 / 100
= 35 /10^2
= 35 × 10 ^ -2
= 0.35 m
f) 2.4 m = 2.4 / 1000
= 24 × 10 ^-1 / 10^3
= 24 × 10^-1 × 10 ^-3
= 24 × 10 ^ -4
= 0.0024 km
g) 2495 mm = 2495 /1000
= 2495 /10^ 3
= 2495 × 10 ^-3
=2.495 m
Why are 1966 pennies worth almost $20?
Answer:
its because 1966 pennies are made from 95% copper and 5% zinc but they are mainly worth 10 to 20 cents each penny.
Step-by-step explanation:
Katelyn invested $1500 into her account which earned interest compounded continuously. After 10 years, she discovered that she had $3935.36. What interest rate percent did Katelyn earn?
Answer: ____ % interest
Given:
Principal = $1500
Time = 10 year
Amount after interest compounded continuously = $3935.36
To find:
The rate of interest.
Solution:
The formula for amount after continuous compound interest is:
[tex]A=Pe^{rt}[/tex]
Where, P is principal, r is the rate of interest in decimal and t is time in years.
Putting [tex]P=1500,A=3935.36,t=10[/tex] in the above formula, we get
[tex]3935.36=1500e^{r(10)}[/tex]
[tex]\dfrac{3935.36}{1500}=e^{10r}[/tex]
[tex]2.6236=e^{10r}[/tex]
Taking ln on both sides, we get
[tex]\ln(2.6236)=\ln e^{10r}[/tex]
[tex]0.9645=10r[/tex] [tex][\because \ln e^x=x][/tex]
Divide both sides by 10.
[tex]\dfrac{0.9645}{10}=r[/tex]
[tex]0.09645=r[/tex]
The rate of interest in percentage is:
[tex]r=100\times 0.09645[/tex]
[tex]r=9.645\%[/tex]
Therefore, the required rate of interest is 9.645%.
help!!!!!!!!! i am really confused and need help
Answer:
g(-3)= -3^3-7
= -27-7
= -34
A) y=1/3x-8
B) y=1/3x-4
C) y=1/3x+2
D) y=1/3x-14
Answer:
A
Step-by-step explanation:
Concept :-
The slope intercept form of a line is y = mx + c Where m is slope , and c is constant .On converting :-
[tex]\bf\implies y + 5 =\dfrac{1}{3}(x-9)\\\\\bf\implies y + 5 =\dfrac{1}{3}x - 3 \\\\\bf\implies y = \dfrac{1}{3}x - 3 - 5 \\\\\bf\implies\boxed{\red{y = \dfrac{1}{3}x -8 }}[/tex]
Hence option A is correct.a triangle has vertices r(1,2), s(3,3) and t(-3,4)
Give The Rest of the question
Answer:
Reflection about x axis
r(1,2)-----------r'(1,-2)
, s(3,3) ..........s'(3,-3)
and t(-3,4).....t'(-3,-4)
Halla el volumen del siguiente prisma triangular...
Answer:
El volumen del prisma triangular es 110 centímetros cúbicos.
Step-by-step explanation:
El volumen del prisma ([tex]V[/tex]), en centímetros cúbicos, es igual al producto del área superficial del triángulo ([tex]A[/tex]), en centímetros cuadrados, y la profundidad del prisma ([tex]z[/tex]), en centímetros:
[tex]V = A\cdot z[/tex]
[tex]V = \frac{1}{2}\cdot b\cdot h\cdot z[/tex] (1)
Donde:
[tex]b[/tex] - Base del triángulo, en centímetros.
[tex]h[/tex] - Altura del triángulo, en centímetros.
Si sabemos que [tex]b = 4\,cm[/tex], [tex]h = 5.5\,cm[/tex] y [tex]z = 10\,cm[/tex], entonces el volumen del prisma triangular es:
[tex]V = \frac{1}{2}\cdot (4\,cm)\cdot (5.5\,cm)\cdot (10\,cm)[/tex]
[tex]V = 110\,cm^{3}[/tex]
El volumen del prisma triangular es 110 centímetros cúbicos.
Please help!
Factor 4x^2-16x
Answer:
Step-by-step explanation: 3 because 4x2=8 so you would have to do 8x4 =32
Marulla's z score on a college entrance exam is 1.3. If the raw scores have a mean of 480 and a standard deviation of 70 points, what is her raw score?
Answer:
571
Step-by-step explanation:
We solve using z score.
z = (x-μ)/σ, where
x is the raw score = ?
μ is the population mean = 480
σ is the population standard deviation = 70
z = 1.3
Hence,
= 1.3 = x - 480/70
Cross Mulitiply
1.3 × 70 = x - 480
91 = x - 480
x = 480 + 91
x = 571
Therefore, Marulla's raw score is 571
DESPERATE, PLEASE ANSWER FAST
(multiple choice answer)
Which associations best describe the scatter plot?
Select each correct answer.
Linear association
Nonlinear association
Negative association
Positive association
Answer:
Nonlinear association
Step-by-step explanation:
solve for x. and please explain your answer
Mai put $4,250 in the bank for a rate of 4% simple interest per year. After
3 years, what will be the balance of her bank account?
0
Answer:
4760
Step-by-step explanation:
Simple interest formula:
PV(1+it)
4250(1+.04*3)=4760
please help me, due tomorrow!!!
Answer:
1. B
Step-by-step explanation:
the only 1 i could do is number 1 which i dont even think it is correct
f(x)=2x2−10x+11 What is f(4)?
Set the polynomial equal to y y to find the properties of the parabola. y=2x2+10x+11 y = 2 x 2 + 10 x + 11. Rewrite the equation in vertex form. Tap for more steps.
The day before yesterday I was 25. The next year I will be 28. This is true only one day in a year. What day is my Birthday?
Yesterday was your birthday. (May 29)
A computer can perform 4.66 x 10 exponent 8 calculations per second. How many calculations can this computer perform in one minute
Answer:
2.796x10^10
Step-by-step explanation:
4.66x10^8 in one second
1 minute is equal to 60 seconds
Multiply 4.66x10^8 by 60
= 2.796x10^10
Santos flipped a coin 300 times. The coin landed heads up 125 times. Find the ratio of heads to total number of coin flips. Express as a simplified ratio. Answers:
A- 5 to 12
B- 7 to 12
C- 12 to 5
D- 5 to 7
Answer:
5/12
Step-by-step explanation:
No. of times coin landed head up / Total no. of flips
= 125 / 300
= 25*5 / 25*12
= 5 / 12
Carol creates a flag consisting of two similar triangles and labels them
A ABC and A XYZ. Side AB is 5 cm and side XY is 15 cm. If the perimeter of A
ABC is 16 cm, what is the perimeter of A XYZ ?
A) 26 cm
B) 6cm
C)48cm
D)144cm
Answer: 48
Step-by-step explanation:
It cost $16.80 for a half dozen cookies. How much does one cookie cost?
What can you say about the size of the angles of similar triangles?
Answer:
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size. The triangles are congruent if, in addition to this, their corresponding sides are of equal length.
Malcom is filling bags with rice. He starts with 5 1/4 lbs. container of rice and fills each bag with 5/8 pound of rice. How many bags can Malcom fill?
Find the volume and show work
Answer:
Volume = 2512 km³
Volume = 800π km³
Step-by-step explanation:
Volume Cylinder = Area circle * height
Let's input the info
Formula for the Area of a circle = πr²
Area circle = π*100
Since it asks to leave in terms of π or tenths ill give both.
Area circle = 100π
Area circle = 314
Volume = 100π * 8
Volume = 800π
Volume = 314 * 8
Volume = 2512
Units = km³
Volume = 800π km³
Volume = 2512 km³
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
A square is rotated clockwise about center point P.
Click on all the degrees of rotation that will carry the square onto itself,
45
900
120
135
180
225
240
270
315
360
The degrees of rotation that will carry the square onto itself are,
⇒ 90°, 180°, 270°, 360°
Since, A Square is a two dimension figure with 4 sides, 4 corners and 4 right angles. All the sides of the square are equal and parallel to each other.
Given here:
A square is rotated clockwise about center point P.
Now , Since there are have 4 vertices, your starting vertex can land in 4 different starting places and still come up with the same figure.
So if you take 360/4 you get 90 degree rotations to each consecutive vertex.
or more specifically;
= 360/4
= 90
Hence, the square will coincide itself after every integral multiple of 90.
Thus, 90°, 180°, 270°, 360° are the required angles of rotation.
Learn more about the rectangle visit:
https://brainly.com/question/2607596
#SPJ1
In parallelogram MNPQ if QR=5 find RN.
Answer:
RN=5
Step-by-step explanation:
QR is congruent to RN therefore they are the same length
Re-write the quadratic function belbw in Standard Form
y = 3(x - 3)(x - 2)
Answer:
y = 3x² - 15x + 18
Step-by-step explanation:
y = 3(x - 3)(x - 2) ← expand factors using FOIL
= 3(x² - 5x + 6) ← distribute parenthesis by 3
y = 3x² - 15x + 18 ← in standard form
ANSWER
SEE EXPLANATION
Step-by-step explanation:
3(x²-2x-3x+6)
3(x²-5x+6)
3x²-15x+18
Andre has seven dollars he needs $50 to buy a skateboard each week his grandmother pays him four dollars to complete some chores how much money does Andre have after the week
Answer:
$11
$39
Step-by-step explanation:
Amount Andre has = $7
Amount his grandmother pays him every week = $4
Amount Andre needs to buy a skateboard = $50
how much money does Andre have after the week?
Amount of money Andre has after the week = Amount Andre has + Amount his grandmother pays him every week
= $7 + $4
= $11
Amount of money Andre has after the week = $11
Amount Andre needs more to buy the skateboard = Cost of the skateboard - Amount of money Andre has after the week
= $50 - $11
= $39
Amount Andre needs more to buy the skateboard = $39
write a point-slope equation for the line that has slope 4 and passes through the point (11.7)
Answer:
y-7=4(x-11)
Step-by-step explanation:
When 5x^2−5 is completely factored, which is one of its factors?
Answer:
no, never completely factored with negative exponents
Step-by-step explanation:
5x^-3 = 5/x^3
Who want points and brainlist just answer quick............
Answer: 1/16
Step-by-step explanation:
i need helpp please this is due today (show work/explanation)
Answer:
14 x 14 = 196
10 x 14 x 1/2(basically just dividing by 2) = 70
70 x 4(four sides of triangles) = 280
Now let's add the areas together:
196 + 280 = 476 cm^2 is your answer.
Please help me find the mean and the range.
mean: 5.5 hours
range: 7.9 hours