Answer: The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm.
Step-by-step explanation: my teacher tought me this
Please help me bruvs, it's all greatly appreciated.
Answer:
D. (x+1)^1/3Step-by-step explanation:
f(x) = x³-1 is the same as y = x³-1
Replace x with y, and y with x =
x = y³ - 1
y³ = x + 1
y = ∛(x+1)
or y = (x+1)^1/3 (d)
_____________________
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Answer:
(x + 1)^1/3 (D)
Step-by-step explanation:
x = y^3 - 1
y^3 = x + 1
y = (x + 1)^1/3
Hope this help!
The growth of a certain bacteria can be modeled by C(t) = 100(1.03)^24t, where C(t) is the total number of bacteria after t hours. Which function is approximately equivalent to C(t)?
A) C(t) = 100(2.03)^t
B) C(t) = 2,400(2.03)^t
C) C(t) = 100(2.03)^t/24
D) C(t) = 2,400(2.03)^t/24
Answer:A
Step-by-step explanation:
Expand and simplify 2(5x + 3) - 2(2x - 3)
Answer:
6x+12
Step-by-step explanation:
2(5x+3)-2(2x-3)
(10x+6)-(4x-6)
10x+6-4x+6
6x+12
Step-by-step explanation:
1. 2(5x + 3) - 2(2x - 3)
10x + 6 - 2(2x - 3)
2. 10x + 6- 2(2x - 3)
3. 10x + 6 - 4x + 6
10x + 12 - 4x
4. 10x + 12 - 4x
6x + 12
Here is a list of ingredients to make biscuits.
200 g butter
180 g caster sugar
400 g plain flour
20g chocolate chips
Andrew only has 300 g of plain flour.
How much of the other ingredients should he use?
g butter
g caster sugar
g chocolate chips
Total marks: 3
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Aubrey's water bottle holds 1.75 liters of water. today, she filled her water bottle four times. If she had 400 milliliters of water remaining in her water bottle at the end of the day, how many liters of water did she drink today?
Answer:
6.6L
Step-by-step explanation:
4x1.75=7L
7L=7000mL
7000-400=6600mL=6.6L
Please answer my question
Answer: C
Step-by-step explanation:
What are the solution(s) of -1/2X+4= X+ 1?
O-1 and 8
О 1 and 4
O 2
O 3
Answer:
X = 2
Step-by-step explanation:
-1/2X+4= X+ 1
Add 1/2X to each side
-1/2X+ 1/2 X+4= X+ 1 + 1/2 X
4 = 3/2 X +1
Subtract 1 from each side
4-1 = 3/2 X +1-1
3 = 3/2 X
Multiply each side by 2/3 to isolate x
3 * 2/3 = 3/2 X * 2/3
2 =X
The number of 8-ounce glasses of water Shane drank each day for 12 days is represented in
this histogram.
Glasses of Water Drank
Number of Days
72 3-4 5-6 7-8
Number of 8-ounce Glasses
Based on this histogram, which statement must be true?
A On exactly 2 of these days, Shane drank 1 to 2 glasses of water.
BOn exactly 3 of these days, Shane drank 7 to 8 glasses of water,
C On exactly 25% of these days, Shane drank 3 to 4 glasses of water.
Don exactly 60% of these days, Shane drank 5 to 6 glasses of water
The histogram representing the data is attcwhwd in the picture below.
Answer:
C On exactly 25% of these days, Shane drank 3 to 4 glasses of water.
Step-by-step explanation:
The number of 8 - ounce glasses is represented on the x - axis and the number of days on the y - axis.
From the histogram ;
Shane drank 1 - 2 glasses on exactly 1 day
Shane drank 3 - 4 glasses on exactly 3 days
Shane drank 5 - 6 glasses on exactly 6 day
Total number of days = 12
60% of 12 = 7.2
On exactly 60% of the days, which is 7.2 days, number of glasses drunk isn't covered by the histogram
25% of 12 ; 0.25 * 12 = 3 days
From the histogram, number of glasses consumed is 3 - 4 glasses ; which is the only true statement about the histogram in the options given.
Help please! Will give brainiest if correct!
Find the slope of the line. Write your answer in simplest form.
Answer:
find the two points on the graph and do rise over run
Step-by-step explanation:
go to point (-2,0) and then go up and over to point (2,3)
X = 10
3.2 + 5y = 20
What is the solution (x, y) of the system of equations?
Find the volume of a pyramid with a square base, where the area of the base is 16\text{ m}^216 m
2
and the height of the pyramid is 25.4\text{ m}25.4 m. Round your answer to the nearest tenth of a cubic meter.
The volume of the pyramid with a square base is 135.5 cubic m if the base area is 16 cubic m and the height is 25.4 m.
What is a square pyramid?In geometry, it is defined as the shape having a square base with equal sides length and all the vertex of the square's joints at the top, which is perpendicular to the centre of the square.
We know the volume of the square pyramid V;
V = Bh/2
B is the base area, B = 16 square m
h is the height of the pyramid, h = 25.4 m
V = (16×25.4)/3
V = 135.46 ≈ 135.5 cubic m
Thus, the volume of the pyramid with a square base is 135.5 cubic m if the base area is 16 cubic m and the height is 25.4 m.
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A sequence is defined by the recursive rule a1 = -16, an = 1.5an-1. What is the fourth term in the sequence?
Answer:
a(4) = 1.5(-36) = -54
Step-by-step explanation:
a(1) = -16 is given.
a(n) = 1.5*a(n-1).
a(2) = 1.5(-16) = -24
a(3) = 1.5(-24) = - 36
a(4) = 1.5(-36) = -54
[tex]\huge{\mathbb{\tt { QUESTION:}}}[/tex]
A sequence is defined by the recursive rule a1 = -16, an = 1.5an-1. What is the fourth term in the sequence?[tex]\huge{\mathbb{\tt {ANSWER:}}}[/tex]
[tex] \{\boxed{\boxed{\tt {a(4) = 1.5(36) = -54 }}}[/tex]
[tex]\huge{\mathbb{\tt {EXPLANATION:}}}[/tex]
[tex]a(1) = - 16 \\ a(n) = 1.5 \times a(n - 1) \\ a(2) = 1.5( - 16) = - 24 \\ a(3) = 1.5( - 24) = - 36 [/tex]
[tex] \{\boxed{\boxed{\tt {a(4) = 1.5(36) = -54 }}}[/tex]
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→X x K i m 0 2 x XJL is a common tangent to circles M and K at point J. If angle MLK measures
619, what is the length of radius MJ? Round to the nearest hundredth. (Hint:
Show that triangles LMJ and LKJ are right triangles, and then use right triangle
trigonometry to solving for missing sides of the right triangles.) (10 points)
pls help
Answer:
MJ = 6.5
Step-by-step explanation:
Tangent lines to a circle are perpendicular to the radius.
tan 68° = JL/3
2.4751 = JL/3
JL = 7.4253
∠JLK = 90° - 68° = 22°
∠MLJ = 61° - 22° = 39°
sin 61° = MJ/7.4253
MJ = 7.4253(0.8746) = 6.5
The length of radius MJ is 5.99 units
How to calculate the radius MJ?Start by calculating the length JL using the following tangent ratio
tan(68°) = JL/3
Make JL the subject
JL = 3 * tan(68°)
Evaluate the product
JL = 7.4
From the figure, the measure of angle MLJ is:
∠MLJ = MLK - JLK
Where:
∠JLK = 90° - 68° = 22°
So, we have:
∠MLJ = 61 - 22
∠MLJ = 39
The radius MJ is then calculated using the following tangent ratio
tan(39) = MJ/JL
This gives
tan(39) = MJ/7.4
Make MJ the subject
MJ = 7.4 * tan(39)
Evaluate
MJ = 5.99
Hence, the length of radius MJ is 5.99 units
Read more about line of tangents at:
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<1 and <2 are complementary angles.the measure of <1 is 10
the Measure of <2 is 4c
Answer:
c = 20
Step-by-step explanation:
You have not really asked a question.
I will assume you are asking about the value of c.
The measure of angle 1 is 10 (assuming degrees!), so the measure of angle 2 is 80. (Complementary angles have measures that sum to 90.)
The measure of angle 2 is also described as 4c, so 4c = 80. That makes c = 20.
567 ÷ 12 with working out
Answer:
Step-by-step explanation:
567 ÷ 12
= 47.25
Answer:
47.25
Step-by-step explanation:
The boiling temperature (in degrees Celsius) of platinum is 199 more than four times the boiling temperature $z$ (in degrees Celsius) of zinc.
a. Write an expression that represents the boiling temperature (in degrees Celsius) of platinum.
b. The boiling temperature of zinc is 907 degrees Celsius. What is the boiling temperature of platinum?
Answer: THIS IS SO HARD!
Step-by-step explanation:
The required boiling temperature of platinum is 3,739 degrees Celsius.
What is simplification?Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve.
Here,
a. Let's start by defining a variable for the boiling temperature of zinc, which we'll call z.
According to the problem statement, the boiling temperature of platinum is 199 more than four times the boiling temperature of zinc. In other words,
Boiling temperature of platinum = 4z + 199
So the expression that represents the boiling temperature of platinum in degrees Celsius is:
4z+199
b. The problem tells us that the boiling temperature of zinc is 907 degrees Celsius. So we can substitute this value for z in our expression:
4z+199 = 4(907)+199 = 3,739
Therefore, the boiling temperature of platinum is 3,739 degrees Celsius.
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what is the Surface area
Answer:
Step-by-step explanation:
The triangles are similar. Find the area of the smaller one.
Answer:
B: 24cm squared
Step-by-step explanation:
For 12 to convert to 3, you divide by 4. So 96 divided by 4 is 24!
Dmitri's mom is making him a tent to use for backyard camp outs with his friends.
Answer:
The answer is 21.4.
Step-by-step explanation:
Hope this helps!
Answer:
21.4 is correct =)
Step-by-step explanation:
Tara is the costume manager for a large theater company she has 15 different hats, including 6 berets what’s is the probability that a randomly chosen hat from taras inventory will be a berets
Answer:
2/5
Step-by-step explanation:
probability it is a beret = total number of berets / total number of hats
6/15
To transform to the simplest form. divide both the numerator and the denominator by 3
2/5
Bella is shopping for a 60" TV. She has found the following options that she likes. Bella wants to get the best deal on her TV. Which one should she buy?
TV #1 - $899 on sale for 30% off with no sales tax
TV #1 - $899 on sale for 30% off with no sales tax
TV #2 - $999 on sale 40% off with 5% sales tax
TV #2 - $999 on sale 40% off with 5% sales tax
TV #3 - $599 with no discount and 6% sales tax
TV #3 - $599 with no discount and 6% sales tax
TV #4 - $749 on sale for 20% off with 10% sales tax
TV #4 - $749 on sale for 20% off with 10% sales tax
Answer:
TV #3
Step-by-step explanation:
The others cost more.
50 POINTS in how many ways can you select 3 books to bring on vacation from a group of 11 books
Answer:
165 ways
Step-by-step explanation:
Use a choose formula (! stands for factorial):
11!/(3! (11-3)!)
9*10*11/6
165
Write the log equation as an exponential equation. You do not need to solve for x.
log(x+2) (4x) = 3x + 2
Please answer ASAP
Answer:
Step-by-step explanation:
(2x) (4x)= 8x = 3x+2
i think but i dont know if this is an exponential equation
Sallys grandmother made 16 pints of jam. How many cups of jam did she make?
Answer:
32 cups
There are 2 cups in one pint. So, 16 times 2 = 32
Answer:
32 cups
Step-by-step explanation:
I got HBIA buh ig I got it wrong
Camilla has $5 to spend in the market.
She buys 1 1/2 kilograms of bananas priced at 80 cents per kilogram and 3 yams priced at 45 cents each.
How much money does she have left?
y'all I'm crying...help
Answer:
Below in bold.
Step-by-step explanation:
C1 = 180 - C2
= 180 - (170-2x)
= 10 + 2x
So B3 = 10+2x (alternate angles).
and B2 = 90 - B3
= 90 - (10 + 2x)
= 80 - 2x.
What is the name of the polynomial, 3x³ +2x + 4?
Answer:
cubic trinomial
Step-by-step explanation:
can I have brainllest
EMERGENCY PLS HELP: Calculate the volume.
Answer:
[tex]525\pi[/tex]
Step-by-step explanation:
Volume of a cylinder is given by the function [tex]v=\pi r^{2}h[/tex]
where v is volume, r is radius and h is height.
In order to find the radius we just divide the diameter in half and get
[tex]\frac{10}{2} =5=r[/tex]
now we just plug the values in the formula
[tex]v=\pi r^{2}h\\=\pi (5^{2})(21)\\=\pi (25)(21)\\=525\pi[/tex]
Answer:
Volume of a cylinder: V = π (r^2) h
Step-by-step explanation:
First, find your radius and your height.
H = 21
D = 10
R = 1/2 d = 5
Then plug them into the equation: V = π (r^2) h
V = π (5^2) 21
V = π (25) 21
V = π (25 x 21)
V = π (525)
V = 525π
Plz help I was in the hospital and I am behind in math now. How do I show my work for this?!
Answer:
-16
Step-by-step explanation:
[tex]28-(\sqrt{44} )^2\\28 - (44)\\-16[/tex]
When you square a square root, the number inside is the answer.