Answer:
We have:
P1 = a x b
If a decreases by 20% and b decreases by 60%, then we have:
P2 = a x (100 - 20)/100 x b x (100 - 60)/100
= a x 80/100 x b x 40/100
= a x b x 8/25
=> P1 - P2 = ab - (8/25)ab = (17/25)ab
=> If a decreases by 20% and b decreases by 60%, product of a and b would decrease 17/25 = 0.68%
Hope this helps!
:)
Answer:
68
Step-by-step explanation:
RSM again
Please Help! I'm really stuck on this question 6th Grade Math
Answer: a
Step-by-step explanation: can i have brainliest
Answer:
155
Step-by-step explanation:
9 x 4 = 36
6 x 9 = 54
5 x 9 = 45
triangles = 10 x 2 = 20
36 + 54 + 45 + 20 = 155
Liz flips a coin 90 times. The coin lands heads up 54 times and tails up 36 times. Complete each statement.
The theoretical probability of the coin landing heads up is
Answer:
1/2 or 50%
Step-by-step explanation:
Please check if that is correct. But generally there are two sides so half of the times it should be heads.
Hope this helps.
v
15 10
In the circle shown, chords AC and BD intersect at E. If AE = 6, EC =
12, and DE = 18. How long is
BE
Answer:
BE is 4 units long
Step-by-step explanation:
Data
AE = 6EC = 12DE = 18Given that chords AC and BD intersect at E, then the following equation must be satisfied:
AE * CE = DE * BE
Replacing with data and isolating BE:
6*12 = 18*BE
BE = 6*12/18
BE = 4
Consider the parallelogram shown below whose area is 40 square centimeters and height is 8 centimeters. The missing base in the figure is ___ centimeter.
Answer:
5
Step-by-step explanation:
B=a/h
The missing base in the figure is 5 centimeter.
What is the area of a parallelogram?The area of a parallelogram is the product of the base and the height of the figure. Supposing that there is no direct formula available for deriving the area, we can derive the area of that region by dividing it into smaller pieces, whose area can be known directly. Then summing all those pieces' area gives us the area of the main big region.
The area of a parallelogram = Base x Height
Given;
Area of parallelogram= 40 square centimeters
Height of parallelogram= 8cm
Solution;
A= b x h
substituting the given values in the formula;
40= b x 8
b= 40/8
b= 5
So, the answer is 5cm
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A sphere and a cylinder have the same radius and height. The volume of the cylinder is 27 pi feet cubed.
Which equation gives the volume of the sphere?
V = two-thirds (27 pi)
V = four-thirds (27)
V = two-thirds (27)
V = four-third (27 pi)
Answer:
C. V = two-thirds (27)
Step-by-step explanation:
Given
Solid Shapes: Cylinder and Sphere
Volume of Cylinder = 27π ft³
Required
Volume of the sphere.
From the question,
We have that
1. The volume of the sphere is the same as the volume of the cylinder
2. The height of the sphere is the same as the height of the cylinder.
From (2) above;
This means that the height of the cylinder equals the diameter of the sphere.
Let h represent the height of the sphere and d represent the diameter of sphere.
Mathematical, d = h
Recall that radius, r = [tex]r = \frac{d}{2}[/tex]
Substitute h for d in the above expression
[tex]r = \frac{h}{2}[/tex]. ----- (take note of this)
Calculating the volume of a cylinder.
V = πr²h
Recall that V = 27; This gives us
27 = πr²h
Divide both sides by h
[tex]\pi r^2 = \frac{27}{h}[/tex]
-------------------
Calculating the volume of a sphere
[tex]V = \frac{4}{3}\pi r^3[/tex]
Expand the above expression
[tex]V = \frac{4}{3}\pi r^2 * r[/tex]
Substitute [tex]\pi r^2 = \frac{27}{h}[/tex]
[tex]V = \frac{4}{3} * \frac{27}{h} * r[/tex]
Recall that [tex]r = \frac{h}{2}[/tex]
So,
[tex]V = \frac{4}{3} * \frac{27}{h} * \frac{h}{2}[/tex]
[tex]V = \frac{4}{3} * \frac{27}{2}[/tex]
[tex]V = \frac{2}{3} * 27[/tex]
[tex]V = \frac{2}{3} (27)[/tex]
V = two-third (27)
Which weighs more: a pumpkin that weighs 3.2 kilograms, Or a cat that weighs 9 pounds? Note 1 pound is about 0.45 kilograms
Answer:
The cat weighs more.
Step-by-step explanation:
The cat weighs 4.08 kilograms and the pumpkin weighs 3.2 kilograms.
9lbs=4.08 kilograms.
Hope this helps : )
The body that weighs more, based on its relative mass is the cat.
The cat weighs 9 pounds and the pumpkin weighs 3.2 kilograms.
To know which weighs more, they need to be weighed in the same units.
Convert the cat to kilograms:
= Number of pounds x Pounds to kilograms
= 9 x 0.45
= 4.05 kg
The cat therefore weighs more than the pumpkin.
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Hellllpppp Pleaseeeeee
Answer:
Statement 1 & Statement 3
Step-by-step explanation:
4 ÷ 10/3
4 × 3/10
12/10
6/5
f(x + 1) = (6/5) × f(x)
f(x) = (10/3) × (6/5)^(x-1)
f(x) = (10/3) × (5/6) × (6/5)^x
f(x) = (25/9) × (6/5)^x
The domain is all natural numbers and the range is real numbers
Step-by-step explanation:
Step 1: Find the correct answer
Option A is correct because if you plug in the numbers...
[tex]f(0 + 1) = \frac{10}{3}[/tex] → [tex]f(1)=\frac{10}{3}[/tex]
[tex]f(1 + 1) = \frac{6}{5} * \frac{10}{3}[/tex] → [tex]f(2)=4[/tex]
[tex]f(2 + 1) = \frac{6}{5} * \frac{4}{1}[/tex] → [tex]f(3) = \frac{24}{5}[/tex]
[tex]f(3 + 1) = \frac{6}{5} * \frac{24}{5}[/tex] → [tex]f(4) = \frac{144}{25}[/tex]
Also, Option C is correct because if you plug in the numbers...
[tex]f(1) = \frac{10}{3}(\frac{6}{5})^(^1^-^1^)[/tex] → [tex]f(1) = \frac{10}{3} * 1[/tex] → [tex]f(1)=\frac{10}{3}[/tex]
[tex]f(2) = \frac{10}{3}(\frac{6}{5})^(^2^-^1^)[/tex] → [tex]f(2) = \frac{10}{3}*\frac{6}{5}[/tex] → [tex]f(2) = 4[/tex]
[tex]f(3) = \frac{10}{3}(\frac{6}{5})^(^3^-^1^)[/tex] → [tex]f(3) = \frac{10}{3}*\frac{36}{25}[/tex] → [tex]f(3) = \frac{24}{5}[/tex]
[tex]f(4) = \frac{10}{3}(\frac{6}{5})^(^4^-^1^)[/tex] → [tex]f(4) = \frac{10}{3} * \frac{216}{125}[/tex] → [tex]f(4) = \frac{144}{25}[/tex]
The reason why option B is not correct is because when you plug in a number, the output is incorrect. The reason why Option D is not correct is because the domain does not include negative numbers which means that the domain is all natural numbers. The reason why Option E is not correct is because the range is all real numbers and not just natural/positive numbers.
Answer: Options A, C
The slope-intercept form of the equation of a line that passes through the point (4, -3) is y=-3x+5. What is the point-slope form of the
equation for this line?
Point-Slope Form:y- y1=m(x-x1)
y-3--1/3x+4)
y-4--1/3 (X - 3)
y-4--1/3(x+3)
y+ 3 = -1/3 (x-4)
Answer:
y+ 3 = -1/3 (x-4)
Step-by-step explanation:
Simply plug in the values using (4, -3)
4 = x₁
-3 = y₁
Now one rule to keep in mind when plugging it in, since a negative and a negative make a positive, you have to add three instead of subtracting it.
Answer:
I think the answer is y+ 3 = -1/3 (x-4)
Step-by-step explanation:
Roxane is designing a new cake box for a local bakery. The template for the cake box is shown above. When the template is folded along the dotted lines, it makes a box with a length of 42 centimeters, a width of 20 centimeters, and a height of 10 centimeters.
How much paperboard is needed to make the cake box?
A.
2,080 square centimeters
B.
1,462 square centimeters
C.
2,920 square centimeters
D.
1,460 square centimeters
Answer:
Area of rectangle box = 2,920 CM²
Step-by-step explanation:
Given:
Length = 42 Cm
Width = 20 Cm
Height = 10 Cm
Find:
Total area required to make box = ?
Computation:
Area of rectangle box = 2[LB + BH + HL]
Area of rectangle box = 2[(42 × 20) + (20 × 10) + (10 × 42)]
Area of rectangle box = 2[(840) + (200) + (420)]
Area of rectangle box = 2[1,460]
Area of rectangle box = 2,920 CM²
Which statement is true?
Only some squares are rectangles. Rectangles have 4 right angles. Therefore, only some squares have 4 right angles.
Only some squares are rectangles. Rectangles have 4 sides that are the same length. Therefore, only some squares have 4 sides that are the same length.
All squares are rectangles. Rectangles have 4 sides that are the same length. Therefore, all squares have 4 sides that are the same length.
All squares are rectangles. Rectangles have 4 right angles. Therefore, all squares have 4 right angles.
Answer:
All squares are rectangles. Rectangles have 4 right angles. Therefore, all squares have 4 right angles.
Step-by-step explanation:
The old math saying: "Every square is a rectangle, but not all rectangles are squares."
What makes a rectangle a rectangle is that it has four right angles.
A square also has four right angles. Therefore, a square is a type of rectangle.
What makes the other answers wrong:A rectangle does not have equal lengths on all four sides like a square does.
A square MUST have four right angles for it to be a square.
Brainiliest Appreciated.
Question:
A. 1) Only some squares are rectangles. 2) Rectangles have 4 right angles. 3) Therefore, only some squares have 4 right angles.
B. 1) Only some squares are rectangles. 2) Rectangles have 4 sides that are the same length. 3) Therefore, only some squares have 4 sides that are the same length.
C. 1) All squares are rectangles. 2) Rectangles have 4 sides that are the same length. 3) Therefore, all squares have 4 sides that are the same length.
D. 1) All squares are rectangles. 2) Rectangles have 4 right angles. 3)Therefore, all squares have 4 right angles.
Answer:
All squares are rectangles. Rectangles have 4 right angles. Therefore, all squares have 4 right angles.
Step-by-step explanation:
Let's go by process of elimination. Starting with A.
A. 1) Only some squares are rectangles. 2) Rectangles have 4 right angles. 3) Therefore, only some squares have 4 right angles.
You can already tell that it's incorrect just looking at sentence 1). All squares are rectangles because a rectangle is:
1. Quadrilateral.
2. Two pairs of parallel sides.
3. Four right angles.
Sentence 2) is correct because Rectangles have 4 right angles. But sentence 3) is incorrect because all squares have 4 right angles.
Down to B.
B. 1) Only some squares are rectangles. 2) Rectangles have 4 sides that are the same length. 3) Therefore, only some squares have 4 sides that are the same length.
Same thing in the first sentence as A . Sentence 1) is incorrect since all squares are rectangles. Sentence 2) is also incorrect because Rectangles do not have the same lengths on all four sides. Only two sides are the same in length. The sides that are the same are the two sides across from each other. Sentence 3) is also incorrect since all squares have 4 sides that are the same length.
Moving down again to C.
C. 1) All squares are rectangles. 2) Rectangles have 4 sides that are the same length. 3) Therefore, all squares have 4 sides that are the same length.
Sentence 1) is correct. All squares are rectangles. Sentence 2) is incorrect because not all sides are the same length. Sentence 3) is correct because all squares have 4 sides that are the same length.
Down to D. (The correct answer.)
D. 1) All squares are rectangles. 2) Rectangles have 4 right angles. 3)Therefore, all squares have 4 right angles.
Sentence 1) is correct because all squares are in fact, rectangles. here is a fact about squares:
"A square is a quadrilateral with all four angles, right angles, and all four sides of the same length. So a square is a special kind of rectangle, it is one where all the sides have the same length. Thus every square is a rectangle because it is a quadrilateral with all four angles right angles."
Sentence 2) is also correct because all rectangles have four right angles. Here are some more facts about rectangles:
"All rectangles are parallelograms, but all parallelograms are not rectangles.
The diagonals of a rectangle divide the rectangle into four triangles.
Every square is a rectangle, but every rectangle is not a square."
Sentence 3) is correct. All squares have 4 right angles. Therefore, Option D. would be your correct answer.
. Which three-dimensional figure is modeled by the net below?
F. rectangular prism
G. triangular prism
H. square pyramid
I. rectangular pyramid
Answer:
Can I get more details on this question?
Step-by-step explanation:
If so, I can probably help you a little bit more. And I will edit my response
Answer: The answer is square pyramid
Step-by-step explanation:
Solve the equation:3/4 (x + 1) = 1/2(x+2)
X=
factor this four term polynomial: 4x^4-2x^3-6x+3
Answer:
( 2 x − 1 ) ( 2 x↑ 3 − 3)
Step-by-step explanation:
The arrow indicates that the 3 is an exponent
Also Mark me brainliest!
Evaluate the radical. 27−−√3 Enter your answer in the box.
Answer:
3
Step-by-step explanation:
took the test :p
The radical evaluation should be 3.
Calculation of the evaluation of the radical form:We know that the cube of 3 is 27
basically in this, no square roots, cube roots should be simplified.
So based on this, the radical evaluation should be 3.
Therefore, we can conclude that The radical evaluation should be 3.
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Olivia ordered a shirt online that cost her $38 total.
The package arrived late so the seller took 16% off
the price. How much did she end up paying?
I NEED UT TODAY
Answer:
$6.08
Step-by-step explanation:
38 x 0.16
equals $6.08
Answer:
$31.92
Step-by-step explanation:
Find 16 percent of 38
38*.16= 6.08
subtract
38-6.08= 31.92
Select all the expressions that have a value
always
greater than 18,204.
A. 18,204 x 6
B. 18,204 x
length
C. 18,204 x 1
use angles
D. 18,204 x
3
10
E. 18,204
Step-by-step explanation:
18024 x 6 = 108144
18024 x 2/3 = 12016
18024 x 1 1/8 = 18025.125
18024 x 3/ 3 = 18024
18024 x 10/5 = 36048
Option A C E are the correct answer
The value of Vishal's car is depreciating exponentially.
The relationship between V, the value of his car, in dollars, and t, the elapsed time, in years, since he purchased the car is modeled by the following equation.
V=22,500⋅10^-t/12
How many years after purchase will Vishal's car be worth $10,000
Give an exact answer expressed as a base-10 logarithm.
We have been given that the value of Vishal's car is depreciating exponentially. The relationship between V, the value of his car, in dollars, and t, the elapsed time, in years, since he purchased the car is modeled by the equation [tex]V=22,500\cdot 10^{-\frac{t}{12}}[/tex]. We are asked to find the time, when Vishal's car will be worth $10,000.
To find the time, we will equate our given equation with 10,000 as:
[tex]10,000=22,500\cdot 10^{-\frac{t}{12}}[/tex]
[tex]\frac{10,000}{22,500}=\frac{22,500\cdot 10^{-\frac{t}{12}}}{22,500}[/tex]
[tex]\frac{4}{9}=10^{-\frac{t}{12}}[/tex]
Now we will take log on both sides.
[tex]log_{10}\left(\frac{4}{9}\right)=log_{10}\left(10^{-\frac{t}{12}}\right)[/tex]
[tex]log_{10}\left((\frac{2}{3})^2\right)=-\frac{t}{12}[/tex]
[tex]-\frac{t}{12}=log_{10}\left((\frac{2}{3})^2\right)[/tex]
[tex]-\frac{t}{12}(-12)=(-12)log_{10}\left((\frac{2}{3})^2\right)[/tex]
[tex]t=(-12)log_{10}\left((\frac{2}{3})^2\right)[/tex]
Using property [tex]log(a^b)=b\cdot log(a)[/tex], we will get:
[tex]t=(-12)\cdot 2log_{10}\left(\frac{2}{3}\right)[/tex]
[tex]t=-24log_{10}\left(\frac{2}{3}\right)[/tex]
Therefore, the value of Vishal's car will be $10,000 after approximately [tex]-24log_{10}\left(\frac{2}{3}\right)[/tex] years.
What is -22.2 x (-6.1)? A. -135.42 B. -28.3 C. 28.3 D. 135.42
Answer:
D
Step-by-step explanation:
All you have to do is multiply -22.2 by -6.1
Answer: The answer is D
Step-by-step explanation:
PLEASE HELP ITS AN EMERGENCY
Answer:
the answer is d
Step-by-step explanation:
the sum of 198 and h as an algebraic expression
Answer:
198+h
have a nice day
which polyhedron is represented by the net shown
Answer:
triangular pyramid
Step-by-step explanation:
Let's make the central triangle the "base", or the bottom face, of our polyhedron. Try to visualise what will happen if we fold up the three triangles so that their top vertices meet at the center top (see diagram).
If we can do that, we'll see that it's a pyramid with a triangular base, so it's a triangular pyramid.
John had 60 video games and he sold 80% of the games at a garage sale. How many video games
were sold?
Answer:
48 video games were sold.
Step-by-step explanation:
We know that both 100% and 60 are divisable by 5. 100%÷5=20%. 60÷5=12. So now we know that 20% of 60 is 12. We need 80%, however. To get from 20% to 80%, we just multiply by four. 20 × 4 = 80. But what we do to one side, we must do to the other. 12×4=48. So 80% of 60 is 48.
Hope this helped, and good luck with future math problems!
Which system of equations could be graphed to solve the equation below?
log Subscript 0.5 Baseline x = log Subscript 3 Baseline 2 + x
y 1 = StartFraction log 0.5 Over x EndFraction , y 2 = StartFraction log 3 Over 2 + x EndFraction
y 1 = StartFraction log x Over log 0.5 EndFraction, y 2 = StartFraction log 2 + x Over log 3 EndFraction
y 1 = StartFraction log 0.5 Over log 3 EndFraction, y 2 = StartFraction log x Over log 2 + x EndFraction
y 1 = StartFraction log x Over log 0.5 EndFraction, y 2 = StartFraction log 2 Over log 3 EndFraction + x
Answer:
y 1 = StartFraction log x Over log 0.5 EndFraction, y 2 = StartFraction log 2 Over log 3 EndFraction + x
Step-by-step explanation:
To solve the log equation, the appropriate system of equations is y₁ = log₀.₅ x and y₂ = log₃(2+x) as these correspond to the format of the original log equation, where we can equate the two and solve for x.
Explanation:To solve the equation log₀.₅ₓ = log₃ (2+x), we can rewrite it in a form that helps us find a system of equations.
First, apply the change of base formula for logarithms:
log ab/ log ac = log cb.
Using this formula, we can rewrite the given equation as:
log 0.5x / log₀.₅ 10 = log₃(2+x) / log₃10
Now, we can create a system of equations with the following relationships:
y₁ = log₀.₅ x / log₀.₅10
y₂ = log₃(2+x) / log₃10
Therefore, the correct choice is:
y₁ = logₓ/log₀.₅ , y₂= log(2+x)/ log 3
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BRAINLIEST!!
1. Solve log2 x = 5.
PLZ HELP
Answer: 32
explanation.
The value of x in the equation log_2_ x = 5 is;
x = 32
We are given; log_2_ x = 5
To solve this, we need to understand that in logarithms, there is a rule for bases like this. An example is;
Log_a_x = y means that;
a^(y) = x
Apply that formula to our question gives us;
log_2_ x = 5 can be expressed as;
2^(5) = x
Thus; x = 32
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. (4 + 5) +2 =4+(5+4) true or false
Answer:
False
Step-by-step explanation:
2.184÷0.7 pls help STAT
Answer:
3.12
Step-by-step explanation:
H(t)=t^2+4t+3 what are the zeroes of the function? Write the smaller t first, and then the larger t second
Answer:
t = - 3, t = - 1
Step-by-step explanation:
Given
h(t) = t² + 4t + 3
To find the zeros equate h(t) to zero, that is
t² + 4t + 3 = 0
Consider the factors of the constant term (+ 3) which sum to give the coefficient of the t- term
The factors are + 3 and + 1, since
3 × 1 = 3 and 3 + 1 = 4, thus
t² + 4t + 3 = (t + 3)(t + 1) = 0
Equate each factor to 0 and solve for t
t + 3 = 0 ⇒ t = - 3
t + 1 = 0 ⇒ t = - 1
smaller zero is t = - 3
larger zero is t = - 1
Please help me out! I have only 1 hour left! I will give brainlist to correct answers. 5 stars and thanks for ALL answers, even asking for details.
Answer:
The small tire would make about 127 rotations.
The large tire would make about 38 rotations.
b. Would you rather ride a bicycle made with two large wheels or two small wheels? Explain.
Two large wheels. Because the larger wheel makes a smoother ride and you spend less energy in order to move, compared to smaller wheels. Also, the larger the diameter, the further it can travel over one revolution.
A bicycle with would allow you to travel farther with each rotation of the pedal.
The larger one. Because in one rotation the larger wheel moves 188.49 inches and the smaller one 56.55 inches.
[tex]C= 188.49\text{inches}[/tex]
[tex]C= 56.55\text{inches}[/tex]
Step-by-step explanation:
- Big wheel 60 inches
- Small wheel 18 inches.
a. How many rotations does each tire make after traveling 600 feet? Round your answers to the nearest whole number.
Considering: [tex]C=\pi d[/tex]
Large tire:
[tex]C=60\pi[/tex]
[tex]C= 188.49\text{inches}[/tex]
[tex]$C=\frac{188.49}{12} = 15.7 \text{feet}$[/tex]
[tex]$\frac{600 }{15.7} = 38 \text{rotations}$[/tex]
Small tire:
[tex]C=18\pi[/tex]
[tex]C= 56.55\text{inches}[/tex]
[tex]$C=\frac{56.55}{12} = 4.71 \text{feet}$[/tex]
[tex]$\frac{600 }{4.71} = 127 \text{rotations}$[/tex]
Did you hear about the lettuce and tomato race? The lettuce was a head and the tomato tried to ketchup.
Answer:
bruh
Step-by-step explanation:
b r u h
PLEASE ANSWER FAST! What does it mean when the point on the number line is an open circle?
Answer:
See explanation for answer.
Step-by-step explanation:
When the point on the number line is an open circle, that means that the inequality does not include that exact value. For instance, in this case the inequality only takes number higher than, but not equal to, -1. Hope this helps!
Answer:
When graphing a linear inequality on a number line, use an open circle for "less than" or "greater than", and a closed circle for "less than or equal to" or "greater than or equal to".
Step-by-step explanation: