Answer:
6967 years
Step-by-step explanation:
Given the exponential function :
R=100e−0.00043t
Time = t in years
R = final amount
Number of years in which only 5 grams of radium will be present :
R = 5
Plugging into our formula :
5 = 100 * e^−0.00043t
5 / 100 = e^−0.00043t
0.05 = e^−0.00043t
Take the In of both sides
−2.995732 = - 0.00043t
t = −2.995732 / - 0.00043t
t = 6966.819
t = 6966.819 years
t = about 6967 years
can someone please help me!
Answer:
60
Step-by-step explanation:
Tell whether the ratios form a proportion. 30/75, 24/60
Given:
The ratios are [tex]\dfrac{30}{75}[/tex] and [tex]\dfrac{24}{60}[/tex].
To find:
Whether the ratios form a proportion or not.
Solution:
If two ratios represent the same relationship then they form a proportion.
We have,
[tex]\dfrac{30}{75}[/tex] and [tex]\dfrac{24}{60}[/tex]
Write the given ratios in the simplified forms.
[tex]\dfrac{30}{75}=\dfrac{15\times 2}{15\times 5}[/tex]
[tex]\dfrac{30}{75}=\dfrac{2}{5}[/tex]
And,
[tex]\dfrac{24}{60}=\dfrac{12\times 2}{12\times 5}[/tex]
[tex]\dfrac{24}{60}=\dfrac{2}{5}[/tex]
Since [tex]\dfrac{30}{75}=\dfrac{24}{60}=\dfrac{2}{5}[/tex], therefore the ratios form a proportion.
What is the area of a parallelogram that has a base of 12 inches and a height of 8 inches?
Question 1 options:
96 square inches
1.5 square inches
20 square inches
Answer:
96 square inches
Step-by-step explanation:
Given in a parallelogram
base (b) = 12 inches
height (h) = 8 inches
Now
Area of parallelogram
= b * h
= 12 * 8
= 96 square inches
Hope it will help :)
Answer:
96
Step-by-step explanation:
Area= base x height
= 12 x 8
= 96
Since Area of parallelogram is base into height
What are the coordinates of the point on the directed line segment from ( − 4 , 10 ) (−4,10) to ( 2 , − 10 ) (2,−10) that partitions the segment into a ratio of 1 to 3
Answer:
[tex]Z=(-2.5,5)[/tex]
Step-by-step explanation:
From the question we are told that
Point [tex]a=(-4,10)[/tex]
Point [tex]b= (2,-10)[/tex]
Ratio [tex]r=1:3[/tex]
Generally the section formula is mathematically given as
[tex]x=\frac{m_1x_2+m_2x_1}{m_1+m_2}[/tex]
[tex]y=\frac{m_1y_2+m_2y_1}{m_1+m_2}[/tex]
Generally the point P(x,y) is mathematically given as
[tex]x=\frac{1(2)+3(-4)}{1+3}[/tex]
[tex]x=-2.5[/tex]
[tex]y=\frac{(1)(-10)+(3)(10)}{1+3}[/tex]
[tex]y=5[/tex]
Required Co-ordinates Z is
[tex]Z=(-2.5,5)[/tex]
I will give brainlest.
Answer:
it is option A hope it helps
What happens as the triangle goes from obtuse to acute
Answer: the degree will go down 90 degrees
Step-by-step explanation: An obtuse triangle is one that has an angle greater than 90°. An acute triangle is defined as a triangle in which all of the angles are less than 90°.
A recipe for cookies calls for 2/3 of a cup of sugar. Elena used 5 1/3 cups of sugar to make multiple batches of cookies. How many batches did she make?
Answer:
8 batches
Step-by-step explanation:
A recipe for cookies calls for 2/3 of a cup of sugar. Elena used 5 1/3 cups of sugar to make multiple batches of cookies. How many batches did she make?
From the above question, 1 recipe = 1 batch of cookies
Hence:
2/3 cup of sugar = 1 batch of cookies
5 1/3 cups of sugar = x batches of cookies
Cross Multiply
2/3 cup × x batches = 5 1/3 cup × 1 batch
x batches = 5 1/3 cup × 1 batch/2/3 cup
x batches = 16/3 ÷ 2/3
x batches = 16/3 × 3/2
= 8 batches
Therefore she made 8 batches
Put these numbers in order from least to greatest.
-10/20, 7 3/30, 0.2
Use the algebraic expression below to identify the following parts of the
expression. VARIABLES *
- 3x – 2x + 16 + 5 – 8 + x
Answer:
−4x+13
Step-by-step explanation:
collect like terms: (−3x−2x+x)+(16+5−8)
Answer:
-3x-2x-x+16+5-8=-4x13
HELPPP im confused :/
Answer:
D.
Step-by-step explanation:
The sides correspond with a favor of 1.5
12/8 = 1.5
7.5/5 = 1.5
3/2=1.5
Use the expression 5a – 2b – 3 + 2b – 6a.
Part A
Simplify the expression.
–4
2a – 4b
–a – 3
a – 3
Part B
Which of the following is an equivalent expression?
–(3 + a)
–a + 3
–(a – 3)
–3 + a
Answer:
5a + (-6a) + (-2b) + 2b + (-3) = -a -3 or -(a + 3) so first answer is correct because -(a + 3) is the same as -(3 + a)
Step-by-step explanation:
What is a slope in mathematical terms
Answer:
"The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x)."
Answer:
It is how steep a linear graph/function is.
Step-by-step explanation:
It is the m in the formula y=mx+b. The bigger the member the steeper.
18 rice cakes weigh a total of 130 g. There are 329 calories in 100 g of rice cakes. How many calories are there in one rice cake?
Answer:
1 rice cake has 23.761 calories
Step-by-step explanation:
18 rice cakes weigh a total of 130 g.
There are 329 calories in 100 g of rice cakes.
Step 1
We calculate the number of calories is 18 rice cakes
18 rice cakes = 130g
Hence,
100g = 329 calories
130g = x
Cross Multiply
100g × x = 130g × 329 calories
x = 130g × 329 calories/100g
x = 427.7 calories
Therefore, 18 rice cakes had 427.7 calories
Step 2
How many calories are there in one rice cake?
18 rice cakes = 427.7 calories
1 rice cake = x
Cross Multiply
18 × x = 1 × 427.7
x = 427.7/18
x = 23.761111111 calories
Approximately = 23.761 calories
Therefore, 1 rice cake has 23.761 calories
I don’t understand at all
What is going on? it doesn't make any sense.
Which ordered pair is the solution to the system of linear equations y = 5x+8 and Y = -4x-1?
Answer:
(-1, 3)
Step-by-step explanation:
If you graph both lines, the point where they intersect is (-1,3)
¿cuantos envases se necesitan, si ponemos los 6 litros en envases de 3/4 litros?
se necesitan 8 envases
denada
PLEASE HELP I NEED MORE PLEASE WORTH 1O POINTS
hope it's helpful ❤❤❤❤❤
THANK YOU.
Answer:
6. is b
Step-by-step explanation:
2x -2=x-
I’ll give 30 points
Answer:
Step-by-step explanation:
2x - 2 = x
Bringing like terms on one side
2x - x = 2
x = 2
Answer:
I'm assuming you meant to put (-x) instead of (x-)
x = 2/3
What is the perimeter of this triangle? 16 ft 8 ft 4 ft 12 ft
Answer:
40
Step-by-step explanation:
16 + (4+12) = 32 + 8 = 40
In the game “Sandwich” three cards are dealt from a 52-card deck. To win, the value of the third card must be between the first two cards. What is the probability of winning given the first two cards dealt are a 6 and a 10?
Show ALL work!!!
Answer:
[tex]\frac{3}{13} ,\frac{12}{52}[/tex]
Step-by-step explanation:
In a 52 card deck there a 4 of ech individual card
There are 3 card values between 6 and 10, (7,8,9)
[tex](3)(4)=12[/tex]
12 out of the 52 cards could win the game, so there is a probability of
[tex]\frac{12}{52}[/tex] [tex]or[/tex] [tex]\frac{3}{13}[/tex]
plz mark me brainliest. :)
Find the area of this composite figure.
Answer: 171 cm
Step-by-step explanation: im not sure if this is right but
9x12=108
9x7=63
108+63=171
I need help with this question for my math hw. Please Help!
9514 1404 393
Answer:
1. 2x +2y = 310; x -y = 55
2. y = 50, x = 105
Step-by-step explanation:
Let the numbers be represented by x and y. Double the numbers would give 2x and 2y. We're told the sum of the doubled numbers is 310, so one equation is ...
2x + 2y = 310
The difference of the numbers is (x-y). We're told that difference is 55, so the other equation is ...
x - y = 55
__
We can divide the first equation by 2, and subtract the second.
1/2(2x +2y) -(x -y) = 1/2(310) -(55)
2y = 100 . . . . . . . simplify
y = 50 . . . . . . . . . divide by 2
x -50 = 55 ⇒ x = 105 . . . . use the second equation to find x
The two numbers are 105 and 55.
Sydnie scored 74 points in Round Two of a talent competition. This is 7 points less than three times her score in Round One. Which equation should be used to find Sydnie’s score in Round One?
help please i need the answer asap
Answer:
Option 2
Step-by-step explanation:
Answer:
Graph 2
Step-by-step explanation:
exponential growth means that the line is increasing
Here are the readings from a water meter.
Meter reading
November 2015
6287m
Meter reading
August 2015
6238m
Work out the volume of water used between August and November
Answer:
49
Step-by-step explanation:
6238 -6287
=49
hope love you
Simon set up his tent in his backyard last night. His tent is 6 feet tall. To secure it to the ground, he attached a rope from the top of the tent to the ground 8 feet away from the bottom of the tent as shown below. How many feet long, R, is the rope?
Length of Simon's tent = 6 feet
Distance from the bottom of the tent to the tent's base = 8 feet
Let the length of rope be R.
The tent and the rope forms a right angle triangle where the rope is the hypotenuse.
We know that :
[tex]\color{hotpink} \tt{hypotenuse}^{2} \color{plum}= {base}^{2} + {height}^{2} [/tex]
Which means :
[tex] = \tt {R}^{2} = {6}^{2} + {8}^{2} [/tex]
[tex] =\tt {R}^{2} = 36 + 64[/tex]
[tex] = \tt {R}^{2} = 100[/tex]
[tex] =\tt R = \sqrt{100} [/tex]
[tex]\hookrightarrow\color{plum}\tt \bold{R = 10 \: feet}[/tex]
Thus, the hypotenuse of this triangle = 10 feet
▪︎Therefore, the length of the rope = 10 feet
A watermelon weights 6.45 kilograms. How many grams does the watermelon weigh?
Answer:
6450
Step-by-step explanation:
Answer:
6450
Step-by-step explanation:
Multiply the value by 1000.
The markings on the number line are evenly spaced. Label the other markings on the number line.
Answer:
A= -75
B= -60
C= -45
D= -15
E= 15
F=30
Step-by-step explanation:
Each point is 15 away, so you just add or subtract 15 based off of if it's a negative or positive number on the number line.
Hope this helped!
Simplify the expression: (7x + 4)(2) =
Answer:
14x+8
Step-by-step explanation:
Find the mean of 65, 67, 69, 67, 63, 60,60
Answer:
64.428
Step-by-step explanation:
well to find the mean we add all of the numbers up and then divide it by the amount of numbers in the sequence
so if we add all of the numbers up it will give us
451
then if we divide that by the number of numbers in the sequence which is 7 then that will leave us with
around 65 or exactly it would be
64.428