Answer:
a) 5/8
Step-by-step explanation:
f(-3) when f(x)=5(2)^x just replace the x with -3
f(x)=5(2)^x = 5 (2)^-3 we find the 3rd power of 2 first which means multiply 2 with itself 3 times
2×2×2 = 8 but here, it asks us for negative third power of 2 so we turn the 8 upside down :
if 2^3 = 8 then 2^-3 = 1/8 and now we multiply it with 5
5 × 1/8 = 5/8
The number 70 is decreased to 41. What is the percentage by which the number was decreased, to the nearest tenth of a percent?
Answer:
Decreased percent = 41.4 % (Approx.)
Step-by-step explanation:
Given:
Old number = 70
New number = 41
Find:
Decreased percent
Computation:
Decreased number = 70 - 41
Decreased number = 29
Decreased percent = [29 / 70]100
Decreased percent = 41.42%
Decreased percent = 41.4 % (Approx.)
A right angled triangular prism has length 3m, breadth 2m and height 2.5m. If the mass of the prism is 3.4kg, find its density
Answer:
The density of the prism is 0.453 kilograms per cubic meter.
Step-by-step explanation:
Let suppose that mass in the prism is uniformly distributed. Then, the definition of density ([tex]\rho[/tex]), in kilograms per cubic meter, is defined by the equation below:
[tex]\rho = \frac{m}{V}[/tex] (1)
Where:
[tex]m[/tex] - Mass, in kilograms.
[tex]V[/tex] - Volume of the right angle triangle prism, in cubic meters.
Besides, the volume of the right angle triangle prism is:
[tex]V = \frac{1}{2}\cdot b\cdot h\cdot l[/tex] (2)
Where:
[tex]b[/tex] - Breadth of the base, in meters.
[tex]h[/tex] - Height of the base, in meters.
[tex]l[/tex] - Length of the base, in meters.
If we know that [tex]b = 2\,m[/tex], [tex]h = 2.5\,m[/tex], [tex]l = 3\,m[/tex] and [tex]m = 3.4\,kg[/tex], then the density of the prism is:
[tex]V = 7.5\,m^{3}[/tex]
[tex]\rho = 0.453\,\frac{kg}{m^{3}}[/tex]
The density of the prism is 0.453 kilograms per cubic meter.
help please i need this in by midnight
A 12-ounce cup of coffee costs $2.88. If the unit price remains the
same, how much would 3 quarts of coffee cost?
Find the volume of the cone.
Either enter an exact answer in terms of # or use 3.14 for and round your final answer to the nearest hundredth.
Answer:
v ≈ 78.54
Step-by-step explanation:
v = π [tex]r^{2}[/tex] [tex]\frac{h}{3}[/tex]
so v ≈ 78.54
10. Select all of the phrases that could be represented by the algebraic expression 2k - 4
a. The difference between number k and 4
b. 4 fewer than the product of 2 and a number k
c. The product of 2 and the quantity 4 and a number k
d. 4 less than 2 times a number k
Find the indicated probability. Express your answer as a simplified fraction unless otherwise noted. If one of the 255 subjects is randomly selected, find the probability that the person is over 40 given that he or she is a root beer drinker.
A.) 5/17
B.) 6/17
C.) 15/17
D.) 2/5
Answer:
B) 6/17
Step-by-step explanation:
P( root beer AND over 40)/P(over 40)
30/(20+30+35)
30/85
6/17
find the slope of the line of best fit shown below.
Eli made 2 peanut butter jelly sandwiches and cut each one into fourths. How many 1/4 sandwich pieces can Eli have?
What is the approximate area of a circle with the diameter of 20cm in square centimeters (use 3.14 for pie(
Answer:
314cm
Step-by-step explanation:
the area formular for a circle is a=pi(r)^2. Using this information we can plug in the numbers...
3.14(10)^2. Next square 10 to get 3.14*100. Then you get 314 which is the answer. The reason I used 10 is because the diameter is half of the radius so half of 20 would be 10.
Can someone answer this
What's the answer to 8m - 14=3m+46
Answer:
Simplifying
8m + -14 = 3m + 46
Reorder the terms:
-14 + 8m = 3m + 46
Reorder the terms:
-14 + 8m = 46 + 3m
Solving
-14 + 8m = 46 + 3m
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-3m' to each side of the equation.
-14 + 8m + -3m = 46 + 3m + -3m
Combine like terms: 8m + -3m = 5m
-14 + 5m = 46 + 3m + -3m
Combine like terms: 3m + -3m = 0
-14 + 5m = 46 + 0
-14 + 5m = 46
Add '14' to each side of the equation.
-14 + 14 + 5m = 46 + 14
Combine like terms: -14 + 14 = 0
0 + 5m = 46 + 14
5m = 46 + 14
Combine like terms: 46 + 14 = 60
5m = 60
Divide each side by '5'.
m = 12
Simplifying
m = 12
Answer:
m = 12
Step-by-step explanation:
We want to isolate "m" on one side of equation to see what it is equal to.
Step 1.
Add 14 to both sides of the equation to get 8m = 3m + 60
Step 2.
Subtract 3m from both sides to get 5m = 60
Step 3.
Divide both sides by 5 to get m = 12.
How many ways can you write one whole as a fraction
Answer:
infinite
Step-by-step explanation:
you could say 1/1 or 4/4 or 146798245/146798245
any number over itself is a whole
Does that answer it? I feel like I'm missing something
Answer:
Any
Step-by-step explanation:
You can write one whole by making the numerator and denominator the same number. Examples: 2/2 3/3 4/4 5/5 6/6 7/7 8/8 9/9 10/10 100/100 20/20
MATH HELP WILL MARK BRANLIEST
In a certain Algebra 2 class of 21 students, 10 of them play basketball and 9 of them play baseball. There are 8 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Answer:
6/21 or 2/7
Step-by-step explanation:
on delta math
A group of friends were working on a student film. They spent $476 on equipment, which was 85% of their total budget. What was the total budget for their student film?
Tickets for the CTA train cost $0.75 for students and $3.25 for
chaperones. If a school trip has a total of 50 people, how many students
and chaperones are on the trip? *
help i need this asap
HINT: Try graphing your equations or multiplying the cost equation by 4.
I NEED HELP FOR ALL 4 OF THOSE! THAT’S IT! PLZZZZ AND TY
Answer:
Step-by-step explanation:
Given equation of a straight line is,
y = -4 - 2x
Domain of the line (x) → {-3, -2, -1, 0, 1}
Therefore, range for the given set of domain will be,
Range (y) → {2, 0, -2, -4, -6}
[By substituting the value of x in the given equation we get the value of y]
Set of scatter points are,
(-3, 2), (-2, 0), (-1, -2), (0, -4), (1, -6)
Now we plot these points to get the discrete graph as attached.
What is the range for the third size of the triangle 13,24?
Answer:
third side range
5
<
C
<
11
Step-by-step explanation:
which function is equivalent to
f(x) = -4 (x+7)^2 - 6
Answer:
A
Step-by-step explanation:
-4(x^2+14x+49)-6
-4x^2-56x-196-6
-4x^2-56x-202
Answer:
F(x)=-4x^2 - 56x - 202
Step-by-step explanation:
Which ordered pair describes the location of the point shown on the
coordinate system below?
10.
10
10
A. (3,-5)
B. (-5,3)
C. (3,5)
D. (-5, -3)
Your answer is A!
Step-by-step explanation:
Your answer is A!
The coordinate point from the given graph is (3, -5). Therefore, option A is the correct answer.
What is coordinate plane?A coordinate plane is a two-dimensional surface formed by two number lines. It is formed when a horizontal line (the X-axis) and a vertical line (the Y-axis) intersect at a point called the origin. The numbers on a coordinate grid are used to locate points.
From the given coordinate plane, the coordinate point lies in fourth quadrant.
Where, x-coordinate is positive and y-coordinate is is negative.
The coordinate point correspond to x-axis is 3 and coordinate point correspond to y-axis is 5.
So, the coordinate point is (3, -5)
Therefore, option A is the correct answer.
Learn more about the coordinate plane here:
https://brainly.com/question/24134413.
#SPJ5
1/3+ blank =3/4 plsssss help
Answer:
= 5 /1 2
Step-by-step explanation:
I'm so sorry be can you guys help me out here?
what is the value of 6n - 2 when n=3?
a.16
b.12
c. 6
d.7
Answer:
Step-by-step explanation:
value of 6n-2 when n=3 is 6(3)-2 = 18-2 = 16
helppppppppppppppppppppppppppppppppppppppp?
Answer:
Step-by-step explanation:
GHJ looks like it on 112 degrees.
IHJ is an acute angle so smaller than 90 degrees. I cant see the numbers there but I'm guessing its about 68 degrees.
GHJ + IHJ= 180
they should equal 180 degrees when added together.
(1 x2) x (3 x 2) x (1 x 3) = ?
Answer:
2*6*3= 36
Step-by-step explanation:
hope this helps
Multiply whats inside the prentices first, then multiply on the outside then that's how you will get your answer
Please help I will mark you as the brainiest, I sincerely am grateful if you answer~
Answer:
The amount of money they will spend at the restaurant is $35.16
Step-by-step explanation:
From the information given in the question, we have;
The amount Jessica, Genesis, and Violet received as bill at the restaurant, X = $29.30
The amount they wished to leave as tip, T = 20% (of the bill)
Therefore, the amount of money they will spend at the restaurant, 'A', is given as follows;
A = X + T
T = 20% of X = 20/100 × X = 0.2·X
∴ A = X + 0.2·X = 1.2·X
X = $29.30
A = 1.2·X = 1.2 × $29.30 = $35.16
The amount of money they will spend at the restaurant, A = $35.16
Dan took out a 24-year loan for $111,000 at an APR 0f 7.7%, compounded monthly, while Forrest took out a 24-year loan for $96,000 at an APR of 7.7%, compounded monthly. Who would save more by paying off his loan 13 years early?
Answer: Dan Would save more Since he has $15,000 more in principal.
Answer: he would save15,000
Step-by-step explanation:
S
What is the solution to this system of equations?
3x + y = 2
2 + 3y
-
--18
re
O (2,-6)
ware
O (3,-7)
(-6, 2)
aphing
O (-7,3)
Answer:
-7,3
Step-by-step explanation:
look at the pictire
Select no real solution, one real solution, or infinitely many real solutions for each of the following equations.
No Real Solution One Real Solution Infinitely Many Real Solutions
√x – 13=-4
2√x+10=8
2/x-1= 3/x+2
Answer:
one real solution
no real solution
one real solution
Step-by-step explanation:
Please help I need this ASAP please
Answer:
235 sq. cm
Step-by-step explanation:
Split into three different shapes
18*3=54
15*6=90
13*7=91
54+90+91=235
can anyone help me with this question please?
Answer:
you didn't add a question
Step-by-step explanation:
Wayne earns 7%
simple interest for 5
years on $3500. What
is the total amount in
the account?
Answer:
49
Step-by-step explanation:
3500 divided by 5 equals 700
700 times 7% equals 49