Answer:
[tex]F(2)= \frac{1}{32} [/tex]
Step-by-step explanation:
The given function is
[tex]F(t) = 2 \cdot \: \frac{1}{{2}^{3t} } [/tex]
To find F(2), we substitute t=2 into the function.
This means that wherever we see t, we put 2
[tex]F(2) = 2 \cdot \: \frac{1}{{2}^{3 \times 2} } [/tex]
We multiply the exponent in the denominator to get:
[tex]F(2) = 2 \cdot \: \frac{1}{{2}^{6} } [/tex]
We evaluate to get:
[tex]F(2) = 2 \cdot \: \frac{1}{64} [/tex]
We now cancel the common factors to get:
[tex]F(2) = \frac{1}{32} [/tex]
Date:
You roll a fair dice. What is the probability that you obtain:
(a) a five
(b) a three, (c) an even number,
(d) a multiple of 3,
(e)
a number less than 6?
4.
Ajar contains 4 red balls, 3 green balls and 5 yellow balls. One ball is taken
at random from the jar. What is the probability that it is:
(a) green,
(b) med
(e) yellow
(d) not red,
(e)
yellow or red?
6.
A spinner is numbered as shown in the diagram.
Each score is equally likely to occur.
What is the probability of scoring
(a) 1,
(b) 2,
(d) 4,
(c) 5,
( a number less than 6?
Find the probability of each outcome if a computer randomly
chooses a letter in the word "mathematical."
5. the lettert 6. the letter a ore 7 the letter d
8. not an m
Answer:
#3 1/6, 1/6, 1/2, 1/3, 5/6.
#4 3/12, 4/12, 5/12, 8/12, 9/12
Step-by-step explanation:
#3 is numbers out of six (fractions).
#4 is the same thing. You add all of the numbers (4, 3, and 5) to get the total and then you subtract to get the probability.
These are all I know.
20% of a is 11, what is a
75% of b is 12, what is b
80% of c is 20, what is c
200% of d is 18, what is d
Answer:
20% of a is 11, what is a
a =55
75% of b is 12, what is b
b = 16
80% of c is 20, what is c
c = 25
200% of d is 18, what is d
d = 9
Step-by-step explanation:
20% of a is 11, what is a
20a = 1100
a =55
75% of b is 12, what is b
75b = 1200
b = 16
80% of c is 20, what is c
80c = 2000
c = 25
200% of d is 18, what is d
200d = 1800
d = 9
what number will make 3/4 x 7/8 = 7/8 x true?
Answer:
3/4
Step-by-step explanation:you divide both sides by 7/8, so x=3/4.
Answer:
3/4
Step-by-step explanation:
Given
3/4 x 7/8
Multiply through
21/32
Divide by 7
3/4
6/4 as a whole number or a mixed nimber
Answer: 1 2/6 which needs to be simplify which is 1 1/3.
We can see here that 6/4 as a mixed number is = 1 (1/2).
What is mixed number?A mixed number is a representation of a number that includes both a whole number and a fraction. It consists of an integer part and a fractional part. The integer part represents a whole number, while the fractional part represents a proper fraction.
To express 6/4 as a mixed number, you divide the numerator (6) by the denominator (4) and express the remainder as a fraction with the same denominator. In this case, 6 divided by 4 is 1 with a remainder of 2. So, 6/4 can be written as the mixed number 1 (2/4), which can be simplified to 1 (1/2).
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Order these numbers from greatest to least: -4 , 1/4 , 0 , 4 , -3 1/2 , 7/4 , 5/4
Answer:-4, -3 1/2, 0, 1/4, 5/4, 7/4, 4
Step-by-step explanation: please give brainliest and thankyou
Five times the sum of a number and 6 equals 3
Answer:
5x+6=3
Step-by-step explanation:
"A number" is a variable.
"Sum" is addition.
"Equals 3" is =3.
"and six" relates to "sum".
So when you put these together it would be 5x+6=3
How can you use a point on the graph of f –1(x) = 9x to determine a point on the graph of f(x) = log9x?
Answer:
Switch the x- and y-coordinates
Step-by-step explanation:
How far up will a 15 meters ladder reach, if the foot of the later must be 9 meters from the base of the wall
Answer:
12
It is a common Right triangle side - 9-12-15. its the same as a 3-4-5 triangle
Answer: 12
Step-by-step explanation:
15 is the hypotenuse (c), and 9 is one side (a)
a^2+b^2=c^2
1. Find Values of Squared Numbers: 81+b^2=225
2. Subtract 81 from 225: b^2=144
3. Find the square root of each side: b=12
Need help asappp thank you
Answer:
[tex]4 \frac{3}{6} = \frac{27}{6} [/tex]
The correct answer is B.
please help with geometric mean!!
The exact value of y is [tex]4\sqrt{3}[/tex].
Solution:
The attached below shows how the formula is written.
Using geometric mean,
Total base length (p + q) = 8
q = 6
p = 8 – 6 = 2
Let us first find the height of the triangle.
[tex]h^2=pq[/tex]
[tex]h^2=2\times6[/tex]
[tex]h^2=12[/tex]
Taking square root on both sides,
[tex]h=\sqrt{12}[/tex]
Using Pythagoras theorem,
In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.
[tex]y^2=(\sqrt{12})^2+6^2[/tex]
[tex]y^2=12+36[/tex]
[tex]y^2=48[/tex]
[tex]y=4\sqrt{3}[/tex]
The exact value of y is [tex]4\sqrt{3}[/tex].
The length of rectangle is 7.1 cm and breadth 2.5 cm what is the area of rectangle
Step-by-step explanation:
[tex]Area \: of \: rectangle \\ = lenght \times breadth \\ = 7.1 \times 2.5 \\ = 17.75 \: {cm}^{2} \\ [/tex]
help me pls I've been waiting for an hour to get an answer I'm willing to sacrifice my points ...
Deidre goes out for lunch and realizes that she only has $10 with her. If she wants to leave a 20% tip and knows she will have to pay 5% tax on her lunch, what is the most expensive lunch she can order?
Answer:
I think it's probably 8$ Edit: 7.5$ i did the math wrong
Which expression is equivalent to (4+3i)^2+(6-I)^2
Answer:
[tex]\large\boxed{(4+3i)^2+(6-i)^2=42+12i}[/tex]
Step-by-step explanation:
[tex](4+3i)^2+(6-i)^2\qquad\text{use}\ (a\pm b)^2=a^2\pm2ab+b^2\\\\=4^2+2(4)(3i)+(3i)^2+6^2-2(6)(i)+i^2\\\\=16+24i+9i^2+36-12i+i^2\qquad i=\sqrt{-1}\to i^2=-1\\\\=16+24i+9(-1)+36-12i+(-1)\\\\=16+24i-9+36-12i-1\qquad\text{combine like terms}\\\\=(16-9+36-1)+(24i-12i)\\\\=42+12i[/tex]
A bag contains two red marbles and three blue marbles. You randomly pick a marble. Find the number of possible outcomes in the sample space.
Final answer:
The sample space for picking a single marble from a bag containing two red and three blue marbles has 5 outcomes, represented as R1, R2, B1, B2, B3.
Explanation:
To determine the number of possible outcomes in the sample space when you randomly pick a marble from a bag containing two red marbles and three blue marbles, you must consider each marble as a distinct possibility. Since there are 5 marbles in total, each draw from the bag has 5 potential outcomes. It does not matter the color of the marble; each draw represents a distinct event with 5 possible outcomes.
Therefore, the sample space, which represents all possible outcomes, contains 5 elements. These outcomes can be represented as R1, R2, B1, B2, and B3, where 'R' stands for red marbles, 'B' stands for blue marbles, and the numbers differentiate between the individual marbles.
Jose is driving to Denver. Suppose that the remaining distance to drive (in miles) is a linear function of his driving time (in
minutes). When graphed, the function gives a line with a slope of -0.95. See the figure below.
Jose has 48 miles remaining after 50 minutes of driving. How many miles were remaining after 34 minutes of driving?
Answer:
63.2 miles
Step-by-step explanation:
The given slope and point can let us use the point-slope form of the equation for a line:
y = m(x -x1) +y1
y = -0.95(x -50) +48
We want to find the value of y for x=34.
y = -0.95(34 -50) +48 = 63.2
Jose had 63.2 miles remaining after driving 34 minutes.
What are the First 4 terms 12-n
Answer:
11, 10, 9, 8
Step-by-step explanation:
To find the first 4 terms substitute n = 1, 2, 3, 4 into the expression, that is
12 - 1 = 11
12 - 2 = 10
12 - 3 = 9
12 - 4 = 8
The first 4 terms are 11, 10, 9, 8
The first four terms of the sequence defined by the expression 12-n are 11, 10, 9, and 8 when substituting the first four natural numbers for n.
The first four terms of the sequence defined by the expression 12-n can be determined by substituting the first four natural numbers for n. Let's calculate the first four terms of the sequence step-by-step.
For n = 1: 12 - 1 = 11
For n = 2: 12 - 2 = 10
For n = 3: 12 - 3 = 9
For n = 4: 12 - 4 = 8.
Therefore, the first four terms of the sequence are 11, 10, 9, and 8.
Solve.
89.20 - 4.099
Help
Answer: 85.101
Step-by-step explanation:
89.20 - 4.099
= 85.101
Which equation is true for the function h(x) = 16*?
Answer:
opiton b
Step-by-step explanation:
To find out which equation satisfies h(x) we need to check with each option
We plug in x value
A) h(–1.25) = –0.5
Plug in -1.25 for x in h(x) = 16^x
That is not true
B) h(–0.5) = 0.25
Plug in -0.5 for x
That is true.
C) h(0.75) = 12
Plug in 0.75 for x
That is not true.
D) h(1.25) = 20
Plug in 1.25 for x
That is not true
The scale on a map is 1 cm for every 600 km. If Seattle and Maine are 10 cm apart on the map, then approximately how far apart are they really?
Answer: 6000 km
Step-by-step explanation:
600 x 10
6000
When multiplying by 10 you add a zero to the end.
Answer:
6,000
Step-by-step explanation:
I think I'm not sure but if for every 1cm=600km then you multiple
1cm=600km
10cm=6,000km
[tex] 8 \frac{7}{9} + 4 \frac{1}{8} [/tex]
Answer: 8 7/9 + 4 1/8 = 929 /72 = 12 65/72 ≅ 12.9027778
Step-by-step explanation:
Conversion a mixed number 8 7
9
to a improper fraction: 8 7/9 = 8 7
9
= 8 · 9 + 7
9
= 72 + 7
9
= 79
9
To find new numerator:
a) Multiply the whole number 8 by the denominator 9. Whole number 8 equally 8 * 9
9
= 72
9
b) Add the answer from previous step 72 to the numerator 7. New numerator is 72 + 7 = 79
c) Write previous answer (new numerator 79) over the denominator 9.
Eight and seven ninths is seventy-nine ninths
Conversion a mixed number 4 1
8
to a improper fraction: 4 1/8 = 4 1
8
= 4 · 8 + 1
8
= 32 + 1
8
= 33
8
To find new numerator:
a) Multiply the whole number 4 by the denominator 8. Whole number 4 equally 4 * 8
8
= 32
8
b) Add the answer from previous step 32 to the numerator 1. New numerator is 32 + 1 = 33
c) Write previous answer (new numerator 33) over the denominator 8.
Four and one eighth is thirty-three eighths
Add: 79
9
+ (33
8
) = 79
9
+ 33
8
= 79 · 8
9 · 8
+ 33 · 9
8 · 9
= 632
72
+ 297
72
= 632 + 297
72
= 929
72
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(9, 8) = 72. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 9 × 8 = 72. In the next intermediate step the fraction result cannot be further simplified by cancelling.
In words - seventy-nine ninths plus thirty-three eighths = nine hundred twenty-nine seventy-seconds.
Answer: 12 65/72
Step-by-step explanation:
1) [tex]79/9+33/8[/tex]
Get your answer (as an improper fraction): [tex]929/72[/tex]
2) Turn [tex]929/72[/tex] into a mixed number and get 12 65/72
Evaluate the expression?????
Answer: 15.6
Step-by-step explanation:
Apply the distributive property to factor out the greatest common factor.
250-150x =
Answer:
[tex]50(5 - 3x)[/tex]
Step-by-step explanation:
The given expresion is
[tex]250 - 150x[/tex]
The greatest common factor is 50.
We rewrite using the distributive property to get;
[tex]50 \times 5- 50 \times 3x[/tex]We collect the highest common factor to obtain:
[tex]50(5 - 3x)[/tex]
Therefore when we factor out the greatest common factor from the given expresion we get;
[tex]50(5 - 3x)[/tex]
To apply the distributive property and factor out the greatest common factor from the expression 250-150x, we need to find the largest number that evenly divides into both numbers. In this case, the greatest common factor is 50, so the expression can be rewritten as 50(5 - 3x).
Explanation:To factor out the greatest common factor from the expression 250-150x, we need to find the largest number that evenly divides into both 250 and 150. In this case, the greatest common factor is 50. We can rewrite the expression as 50(5 - 3x).
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Choose the constant that could be multiplied by each equation to create a system of equivalent equations with opposite terms.
2x + 3y = 1
5x + 2y = 8
The first equation can be multiplied by 5 and the second equation by 2.
The first equation can be multiplied by –5 and the second equation by –2.
The first equation can be multiplied by –5 and the second equation by 2.
Answer:
I think it's the third one. Because it will make both equation's x a opposite value (one is positive and one is negative).
Step-by-step explanation:
Because 2x+3y=1*5= 10x+15y=5 and then 5x+2y=8*-2 = -10x+4y=-16 both equations will cancel the Xs out and then you can solve for Y.
Answer:
The 3rd one
Step-by-step explanation:
Rashad is paid time-and-a-half for any overtime he works weekly. He worked 10 hours overtime last week and earned $120. What is his regular hourly pay?
Answer:
$12 hourly
Step-by-step explanation:
120 ÷ 10 = 12
the center of the circle is at (5, 5). what is the circumference? PLZ HELP!!
Answer:
Can I know the units to this and what does the (5,5) represent? Like it's a dot on a coordinate plane or something else?
Step-by-step explanation:
Find the slope between the
following points:
(11,-16) and (17,-9)
Answer:
m= [-16- (-9)]/(11-17)= (-16+9)/-6= -7/-6
the slope=7/6
Step-by-step explanation:
the slope is difference between y/ difference between x
Identify the center and radius of each.
Step-by-step explanation:
The general equation of a circle with centre (h,k) and radius r
(x-h)²+(y-k)²=r²
Here, (x+5)²+(y-13)²= 10
=>{x-(-5)}²+(y-13)²=(√10)²
center: ( -5,13)
radius: √10
option C
Find an equation for the line with the given properties. Express your answer using either the general form or the slope intercept form of the equation of a line. parallel tot he line x=16; containing the point (-3,3)
Answer:
Step-by-step explanation:
1. In the formula V = lwh, the variable h needs
to be isolated. The operation
Is used in the formula. The inverse operation,
_, should be used to
isolate
Answer:
[tex]H=\frac{V}{LW}[/tex]
see the explanation
Step-by-step explanation:
we know that
Using inverse operations, the formula can be rearranged to solve for any one of the variables that might be unknown.
we have
[tex]V=LWH[/tex]
The operation of multiplication is used in the formula
so
The inverse operation of division should be used to isolate the variable H
so
Divide both sides by LW
[tex]\frac{V}{LW}=\frac{LWH}{LW}[/tex]
simplify
[tex]H=\frac{V}{LW}[/tex]
The number of applicants to a university last year was 11,450. This year, the number of applicants grew by 2%. How many applicants are there this year?
11,679
13,740
20,610
23,900
Answer:
11679
Step-by-step explanation:
Increased by 229
First you need to find the 2%
So to find the 2%
2/100 * 11450=229
Now add 11450+229= 11679
Answer:
11,679
Step-by-step explanation:
Start off making the 2% into a decimal so you can multiply it with the full amount of applications for the year before. 2% in decimal is .02 because you move the decimal twice to the left. Now that you have .02, multiply it by 11,450. (11,450)*(.02) which should be 279. Now you have to add the 279 to the 11,450 because they were admitted as well. (11,450+279)= 11,679