Step-by-step explanation:
f(10)=(10)²-1
f(10)=100-1
f(10)=99
select the three expressions that are equivalent to 3/5a + 10
A. 1/5a + 10 + 2/5a
B. a(3/5 + 10)
C. 14 + 3/5a - 4
D. 1/5 (3a + 50)
E. 10 + 2/5a - a + 1/5a
Answer:
A, C and D
Step-by-step explanation:
Given
[tex]\frac{3}{5}a + 10[/tex]
Required
Select 3 equivalent expressions
[tex]\frac{3}{5}a + 10[/tex]
Express 3 as 2 + 1
[tex]\frac{2 + 1}{5}a + 10[/tex]
Rewrite as:
[tex]\frac{2a + a}{5} + 10[/tex]
Split
[tex]\frac{2a}{5} + \frac{a}{5} + 10[/tex] ----- Option (A)
[tex]\frac{3}{5}a + 10[/tex]
Express 10 as 14 - 4
[tex]\frac{3}{5}a + 14 - 4[/tex]
Rewrite as:
[tex]14+\frac{3}{5}a - 4[/tex] --- Option (C)
[tex]\frac{3}{5}a + 10[/tex]
Factor out 1/5
[tex]\frac{1}{5}(3a + 50)[/tex] --- Option D
Answer:
Option D
Step-by-step explanation:
You can give the guy/girl above Brainliest ^^
They rlly went out of their way to answer that question for you.
They deserve it!
help me FAST :> math problem 15 points come on please
Answer:
D
Step-by-step explanation:
z+nm is equiveland to mn+z since its the same equation but wrote in different positions.
Answer: the answer is D
Z + nm
Helppp please I'm stuck
Determine whether the
following are define function
y=4x+1
[(-1,2), (0, 3) (1,4),(2,6)]
Answer:
sorry but i need the points
Step-by-step explanation:
A rectangle is 5 times as long as it is wide. The perimeter is 50 cm. Find the dimensions of the rectangle. Round to the nearest tenth if necessary.
Answer:
Dimensions = 21 centimeters by 4.2 centimeters.
Step-by-step explanation:
Let the length of the rectangle be L.
Let the width of the rectangle be W.
Given the following data;
Perimeter of rectangle = 50cm
Translating the word problem into an algebraic expression, we have;
L = 5W
To find the dimensions of the rectangle;
Perimeter of rectangle = 2L + 2W
50 = 2L + 2W
50 = 2(5W) + 2W
50 = 10W + 2W
50 = 12W
W = 50/12
W = 4.2 cm.
To find the length;
L = 5W
L = 5*4.2
L = 21 cm.
Please show your work
Answer:
9(3+c+4)=
27+9c+36=
63+9c=
Step-by-step explanation:
9(3+c+4)=
27+9c+36=
63+9c=
Tyler has to savings accounts that his grandparents opened for him . One of the accounts Pay 8% annual interest Where as the other pay 10% annual interest. If you have $700 more invested at 10% then you invested at 8%, how much do you have invested in each account If the total amount of interest You earn in a year is $106?
Tyler invested $___at 8%, and $___at 10%
Within a computer program, the number of bugs (i.e., coding errors) per lines of code has a Poisson distribution with an average of fifteen bugs per 1,000 lines. a. Find the probability that there will be exactly eight bugs in 1,000 lines of code. b. Find the probability that there will be at least eight bugs in 1,000 lines of code. c. Find the probability that there will be at least one bug in 1,000 lines of code. d. Find the probability that there will be no more than
Answer:
[tex]P(X=8) = 0.0194[/tex]
[tex]P(X \ge 8)= 0.9820[/tex]
[tex]P(X \ge 1)= 1[/tex]
[tex]P(X\le 1) = 0.0000049[/tex]
Step-by-step explanation:
Given
[tex]\lambda = 15[/tex]
Poisson distribution is given by:
[tex]P(X=x) = \frac{\lambda^x e^{-\lambda}}{x!}[/tex]
Solving (a): 8 bugs
This implies that:
[tex]x = 8[/tex]
So, we have:
[tex]P(X=8) = \frac{15^8 * e^{-15}}{8!}[/tex]
[tex]P(X=8) = \frac{783.99418938}{40320}[/tex]
[tex]P(X=8) = 0.0194[/tex]
Solving (b): At least 8 bugs
This is represented as: [tex]P(X \ge 8)[/tex]
Using complement rule:
[tex]P(X \ge 8)= 1 - P(X<8)[/tex]
Where
[tex]P(X<8) = P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5) + P(X=6) + P(X=7)[/tex]
[tex]P(X<8) = \frac{15^1 * e^{-15}}{1!} + \frac{15^2 * e^{-15}}{2!} + \frac{15^3 * e^{-15}}{3!} + \frac{15^4 * e^{-15}}{4!} + \frac{15^5 * e^{-15}}{5!} + \frac{15^6 * e^{-15}}{6!} + \frac{15^7 * e^{-15}}{7!}[/tex]
[tex]P(X<8) = (\frac{15^1}{1!} + \frac{15^2}{2!} + \frac{15^3 }{3!} + \frac{15^4}{4!} + \frac{15^5}{5!} + \frac{15^6}{6!} + \frac{15^7}{7!}) e^{-15}[/tex]
[tex]P(X<8) = (15 + 112.5 + 562.5 + 2109.375 + 6328.125 + 15820.3125 + 33900.6696429) *e^{-15}[/tex]
[tex]P(X<8) = 58848.4821429 *e^{-15}[/tex]
[tex]P(X<8) = 0.0180[/tex]
So:
[tex]P(X \ge 8)= 1 - P(X<8)[/tex]
[tex]P(X \ge 8)= 1 - 0.0180[/tex]
[tex]P(X \ge 8)= 0.9820[/tex]
Solving (c): At least 1
This is represented as: [tex]P(X \ge 1)[/tex]
Using complement rule:
[tex]P(X \ge 1)= 1 - P(X<1)[/tex]
[tex]P(X<1) = P(X = 0)[/tex]
[tex]P(X<1) = \frac{15^0 e^{-15}}{0!}[/tex]
[tex]P(X<1) = \frac{e^{-15}}{1}[/tex]
[tex]P(X<1) = e^{-15}[/tex]
So:
[tex]P(X \ge 1)= 1 - P(X<1)[/tex]
[tex]P(X \ge 1)= 1 - e^{-15[/tex]
[tex]P(X \ge 1)= 0.99999969409[/tex]
[tex]P(X \ge 1)= 1[/tex]
Solving (d): Not more than 1
This implies at most 1.
It is represented as:
[tex]P(X\le 1)[/tex]
It is calculated using:
[tex]P(X\le 1) = P(X = 0) + P(X =1)[/tex]
[tex]P(X = 0) = e^{-15}[/tex]
[tex]P(X=1) = \frac{15^1 * e^{-15}}{1!}[/tex]
[tex]P(X=1) = 15 * e^{-15}[/tex]
So:
[tex]P(X\le 1) = e^{-15} + 15 * e^{-15}[/tex]
[tex]P(X\le 1) = 0.00000489443[/tex]
[tex]P(X\le 1) = 0.0000049[/tex]
There are 4 oranges, 7 bananas, and 5 apples in a fruit basket.
Ignacio selects a piece of fruit at random and then Terrance
selects a piece of fruit at random.
probability of two bananas
p( two bananas )
The second group of 20 squirrels of a different breed is placed on a different ranch. The population of squirrels triples each year. Write an equation to model this new situation.
Answer: send group
Step-by-step explanation:
what 2-1+46-2x0
I tried O but it didn't work
Answer:
answer is 47
Step-by-step explanation:
use the rule, 2x0 = 0 then (2- 1) that's 1 and then (46-0) that's 46 so 1 + 46 is 47
Consider the proposition
2x + 5 > 13
(a) is the condition x > 0 necessary, or sufficient, or both necessary and sufficient for the
inequality to be satisfied?
(b) Answer the same question when x 0x is replaced by x 50
(c) Answer the same question when x > 0 is replaced by x > 4.
your answer is C
your answer is C
your answer is C
your answer is C
your answer is C
Answer:
C
Step-by-step explanation:
2x+5=13
2x+5-5=13-5
2x=8
2x/2=8/2
X=4
HELP I WILL GIVE BRAINLEIST OR WHATEVER 50 POINTS
answer:
a. scarf costs today = $6
b. scarf costs 3 days from now = $3
step-by-step explanation:
1/2 off means you would multiply the amount by 1/2 then subtracta. original price of scarf: $12
12 X 1/2 = 6
12 - 6 = 6
— scarf costs today = $6
do the same thing but this time it is a different numberb. 12 X 3/4 = 9
12 - 9 = 3
— scarf costs 3 days from now = $3
Derek and his friend share two small pizzas Derek ate 7/6 of the pizzas which mixed number shows how much pizza Derek ate
an ice cream company made 38 batches of ice cream in 7.6 hours. assuming A CONSTANT RATE OF PRODUCTION, AT WHAT RATE IN HOURS PER BATCHWAS THE ICE CREAM MADE. (hours per batch)
Answer:
5 batches per hour
Step-by-step explanation:
I will mark you brainalist
Answer:
4.6
Step-by-step explanation:
the first equation will be y=1.2x+4.6
the second will be y=0.8x+54.6
then i plugged the system of equations and that was where they met at :)
Answer:
for sure B
Step-by-step explanation:
help would be v appreciated thx :)
Answer:
Step-by-step explanation:
Use the Distributive Property to write an expression that is equivalent to 2(3v + 6)
Answer:
6v + 12
Step-by-step explanation:
2(3v+6) = 2 * 3v + 2 * 6 = 6v + 12
Hope this helps =]
A pound of chocolate costs 8 dollars. Yoko buys p pounds. Write an equation to represent the total cost c that Yoko pays.
Answer:
8×p≈c
Step-by-step explanation:
Because if each is 8 dollars you would multpy the number (Or Letter) by how many you want or have.
3. Classify the triangle with the given side lengths as acute, right, obtuse, 10 points
or not a triangle: 11, 13, 25
Not a triangle
Acute
Right
Obtuse
4. Classify the triangle with the given side lengths as acute, right, obtuse, 10 points
or not a triangle. 21, 28, 35
Not a triangle
Acute
Right
Obtuse
Answer:
3) Obtuse
4) Right
Step-by-step explanation:
3)
11 + 13 > 25 It is a triangle
11² + 13² = 25²
121 + 169 = 625
290 ≠ 625
Since hypotenuse is larger, the triangle is obtuse
4)
21 + 28 > 35 It is a triangle
21² + 28² = 35²
441 + 784 = 1225
1225 = 1225
Since the hypotenuse is equal to the legs, it's a Right triangle
What is the average (arithmetic mean) of 2, 8, 9, and 9?
a) 5
b) 7
c8
c) 8
d) 9
Answer:
The answer is 7
Step-by-step explanation:
2+8+9+9÷4=7
I need help please.
Answer:
may it help you..MARK ME AS BRAINLISTS PLS
what is 1/2 + 1/3 i know it’s so simple i’m just so bad at maths
Ali's dog weighs 8 times as much as her cat together the two pets weigh 54 lb how much does Ali's dog weigh
Answer:
48
Step-by-step explanation:
Cat = x
Dog = 8x
x + 8x = 54
9x = 54
x = 6, Dog = 8 * 6 = 48
45633 seconds en heures minutes et seconds
What is the value of x?
Enter your answer in the box.
X =
Answer:
free
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
ok then, firstly, lets make line CB into y
sin45 / y = sin 90 / 6[tex]\sqrt{2}[/tex]
in other words, as sin 90 = 1
y / sin45 = 6[tex]\sqrt{2}[/tex]
y = sin 45 * 6[tex]\sqrt{2}[/tex] = 6 as sin 45 = root2/2, and root2 * root 2 = 2, so
6*2/2 = 6
we also know BCD is 30*, as angles in a tri add up to 180*
so, x/sin30 = 6/sin90 = 6
x/sin30 = 6
6*sin30 = x
x = 3 as sin 30 = 1/2
I need help please.
Answer:
Answer is C hope this helps
Step-by-step explanation:
(1 point)
Only answer if you know!!! Meg was deep-sea diving at 15 feet below sea level. She dove another 7 feet below sea level. How far
below sea level was Meg?
O 8 ft below sea level
O 12 ft below sea level
O 22 ft below sea level
Answer:
22 feet below sea level
Step-by-step explanation:
she kept going down, basically in a negative way. adding to the already below sea level
1. What is the purpose of using a control group and an experimental group in a research study? Give an
example of a situation where they would be used.
Answer:
A control group is used in an experiment as a point of comparison.
Step-by-step explanation:
By having a group that does not receive any sort of treatment, researchers are better able to isolate whether the experimental treatment did or did not affect the subjects who received it.
I need help with this problem asap :(
Answer:
m<P=130°
m<Q=130°
m<R=50°
Step-by-step explanation:
m<P=130
m<Q=130
m<R=50