Answer:
true
Step-by-step explanation:
We assume you intend your function to be ...
[tex]F(x)=\log_{0.5}x[/tex]
A logarithm with a base less than 1 is a decreasing curve. Here, the base appears to be 0.5, a value less than 1. Hence the curve is decreasing.
Calculate the volume of the following shapes with the given information. For the first three questions, give each answer both in terms of and by using to approximate . Make sure to include units.
Sphere with a diameter of 6 inches
Cylinder with a height of 6 inches and a diameter of 6 inches
Cone with a height of 6 inches and a radius of 3 inches
How are these three volumes related?
Answer:
They all have PI π in the formulas
Step-by-step explanation:
The volume of Sphere is, [tex]36\pi inch^3[/tex].
The volume of Cylinder is, [tex]36\pi inch^3[/tex].
The volume of Cone is,[tex]18\pi inch^3[/tex].
What is volume?Volume is a measurement of three-dimensional space that is occupied. It is frequently expressed mathematically using imperial or SI-derived units. Volume and the notion of length are connected.
First to find the volume of Sphere.
Given a diameter of sphere is 6 inches.
So, the radius is 6/2 = 3 inches.
Volume of Sphere is,
[tex]V = \frac{4}{3} \pi r^3\\V = \frac{4}{3} \pi (3^3)\\V = 36\pi inch^3[/tex]
Now, to find volume of Cylinder.
Given: Height = 6 inch, diameter = 6 inch so, radius = 3 inch
Volume of cylinder is,
[tex]V = \pi r^2h\\V = \pi (3^2)6\\V = 36\pi inch^3[/tex]
Now, to find the volume of Cone.
Given: Height = 6 inch, radius = 3 inch
Volume of cone is,
[tex]V = \frac{h}{3} \pi r^2\\V = \frac{6}{3} \pi (3^2)\\ V = 18 \pi inch^3[/tex]
Therefore, the above the volume of Sphere and Cylinder are equal.
And the volume of Cone is half of the volumes of Sphere and Cylinder.
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What is the value of x in the equation 1.5(x+4)-3=4.5(x-2)
Answer:
x = 4
Step-by-step explanation:
Answer:
x = 4
Step-by-step explanation:
1.5(x + 4) - 3 = 4.5(x - 2)
1.5x + 6 - 3 = 4.5x - 9
1.5x - 4.5x = -9 - 6 + 3
-3x = -12
x = -12/-3
x = 4
Need help with this question
Answer:
[tex]\dfrac{-5x^2+34x-32}{x^2-10x+24}[/tex]
Step-by-step explanation:
Write each fraction using a common denominator, then combine numerators and collect terms. "Simplify" usually means "eliminate parentheses."
[tex]\dfrac{8}{x-4}-\dfrac{4}{x-6}-\dfrac{5x}{x-4}=\dfrac{8(x-6)}{(x-4)(x-6)}-\dfrac{4(x-4)}{(x-4)(x-6)}-\dfrac{5x(x-6)}{(x-4)(x-6}\\\\=\dfrac{8(x-6)-4(x-4)-5x(x-6)}{(x-4)(x-6)}=\dfrac{8x-48-4x+16-5x^2+30x}{(x-4)(x-6)}\\\\=\boxed{\dfrac{-5x^2+34x-32}{x^2-10x+24}}[/tex]
A cyclinder has a volume of 703Pi cm3 and a height of 18.5 cm. What can be concluded about the cyclinder? Check all that apply. The formula for the volume of a cyclinder can be applied to find the area of the base. To find the area of the base, multiply volume and height. The radius of the cyclinder is half the height. The area of the base is 38Pi cm2. To verify the solution is correct, substitute the given measures and the solution into the equation and verify the result is a true statement.
The answer are A,D,and E
Answer:
A. The formula for the volume of a cyclinder can be applied to find the area of the base.
D. The area of the base is 38Pi cm2.
E. To verify the solution is correct, substitute the given measures and the solution into the equation and verify the result is a true statement.
I hope this helped
What’s the correct answer for this?
Answer:
B
Step-by-step explanation:
Try it -3 squared is 9 -4 squared is 16 , 9+16 = 25 so [tex]x^{2} +y^{2} =25[/tex]
Answer:
The answer is B
Step-by-step explanation:
If you look on your picture the circle is 5 on the y axis and -5 on the y axis. and is on 5 on the x axis and -5 on the x-axis makes it 5^2 which equals 25
So if you look on the attachment i provided you can see what i mean. I graphed all equations you had you can see what i mean
a square pyramid has a side length each measuring 8 centimeters
Complete question is;
A square pyramid has side lengths each measuring 8 centimeters. The height of the pyramid is 3 centimeters. What is the lateral area of the pyramid?
Answer:
Lateral area = 80 cm²
Step-by-step explanation:
We are given;
Side length; a = 8 cm
Height of pyramid; h = 3 cm
Now, formula for Lateral area of pyramid = ½ × p × L
Where p is perimeter of base and L is slant length.
Since we know the side length and height of pyramid, we can find the slant height using Pythagoreas theorem.
L² = (½×side length)² + h²
L² = (½×8)² + 3²
L² = 16 + 9
L = √25
L = 5 cm
Now perimeter of square base = 4a = 4 x 8 = 32cm
So,
Lateral area = ½ × p × L = ½ × 32 × 5
Lateral area = 80 cm²
Answer:
80 square centimeters
Step-by-step explanation:
we need to find the hypotenuse or the slant height of the triangle so 3^2+4^2 = the square root of 25 = 5
We got 4 because half of 8 is 4 and we are basically cutting the triangle in half because the height (3) is perpendicular to the side length.
8(5)/2 = 20
20(4) = 80
This Venn diagram shows the pizza topping preferences for 9 students let event A= The student likes pepperoni let event B= the student likes olives
What is P(a or b)
Answer:
B. 5/9
Step-by-step explanation:
There are 5 names listed in the circles representing pepperoni and olives, so of the 9 students, 5 like pepperoni or olives.
P(A or B) = 5/9
Use a net of the square pyramid, if necessary, to find the surface area of the pyramid
Answer:
- When all side faces are the same:
Surface Area = (Area of the Base) + 1/2 × Perimeter × (Slant Length)
- When side faces are different :
Surface Area = (Area of base) + (Lateral Area).
Step-by-step explanation:
A pyramid is formed by connecting a base to a top. There are no curves in a pyramid, the base is a polygon and all other faces are triangles.
There are many types of Pyramids, and they are named after the shape of their base.
We have Triangular Pyramid, Square Pyramid, Pentagonal Pyramid, and so on.
The Surface Area of a Pyramid.
We need to consider the two cases:
- When all side faces are the same:
Surface Area = (Area of the base) + 1/2 × Perimeter × (Slant Length)
- When side faces are different :
Surface Area = (Area of base) + (Lateral Area).
We consider the Area of Base because a pyramid's base varies, as I have explained earlier. It can be a square, a triangle, a pentagon, and so on.
I would just like to say how happy I have been for getting answers from other people - it's been great!
Just one more question of the day!!!!
Can people please tell me what shapes they are mathematically.
Cheers
Jake
Answer:
Image A could be a Cylinder
Image B is a Tetrahedron
Step-by-step explanation:
Hope this helps : )
A line passes through the point (4,-6) and has the slope of -3/4. Which is the equation of the line? y=-3/4x-3 y=-3/4x-6 y=-3x-3/4 y=-6x-3/4
use photomath it helps alot
Which of these is not a possible r-value?
ОА. 1.2
Ов. 0.5
Ос. -0.75
OD. -0.1
Answer:
Step-by-step explanation:
A
what is greater 16.5 or 18750
Answer:
18750
Step-by-step explanation:
This is because 18750 is 5 digits and 16.5 is only 2 whole digits
Ivan and Javier manipulated the rational expression
6
x
+
4
12
x
+
4
12x+4
6x+4
start fraction, 6, x, plus, 4, divided by, 12, x, plus, 4, end fraction. Their responses are shown below.
Ivan Javier
3
x
+
2
6
x
+
2
6x+2
3x+2
start fraction, 3, x, plus, 2, divided by, 6, x, plus, 2, end fraction
6
x
12
x
12x
6x
start fraction, 6, x, divided by, 12, x, end fraction
Which student wrote an expression that is equivalent to the original expression?
Answer:only Ivan
Step-by-step explanation:
Daniel drives his car 374 miles using 22 gallons of gas. How many miles per gallon does his car get?
Answer:
17 will be answer .....
Step-by-step explanation:
He gets 374 miles on 22 gallons ....
Amounts of miles per gallon is 374÷22
= now divide it and answer will come 17 ........
Daniel gets the car 17 miles per gallon
The calculation can be done as follows
Daniel drives the car for 374 miles
He uses 22 gallons of gas
The miles per gallon can be calculated as follows
= 374/22
= 17
Hence the answer is 17 miles per gallon
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The Darnells are having a swimming pool installed. The pool has a radius of 14 feet and a height of 4 feet. What is the volume of the pool? Use 3.14 for Pi.
cylinder. height 4 feet. radius 14 feet
a
351.68 cubic feet
b
703.36 cubic feet
c
2,461.76 cubic feet
d
615.44 cubic feet
Alejandro plotted the location of a reclining chair and an end table on a coordinate plane. The end table is represented by the circle, and the chair is represented by the square with solid sides. The image of the chair along a translation is represented by the square with dashed sides.
Answer:
Step-by-step explanation:
Please locate the answers to this question in the file attached below, the solution is there.
5 people are evenly sharing 12 kilograms of apples how many kilograms of apples should each person get
Answer:
2.4 kilograms
Step-by-step explanation:
Given: 5 people are evenly sharing 12 kilograms of apples
To find: quantity of apples that each person should get
Solution:
Use the unitary method to get the required answer.
Under unitary method, if the value of multiple items is given to us, divide the total value by the number of items to obtain the value of one item.
Quantity of apples for 5 people = 12 kilograms
Quantity of apples for 1 person = [tex]\frac{12}{5} =2.4[/tex] kilograms
So, each person should get 2.4 kilograms of apples.
Answer:
12/5 or 2 2/5
Step-by-step explanation:
We need to divide the 12 kilograms of apples by the 5 people sharing them, or 125
12 ÷ 5 = 12/5
12/5 = 5/5 + 5/5 + 2/5
= 1 + 1 + 2/5
= 2 2/5
Each person should get 12/5, or 2 2/5, kilograms of apple
Noel read 90 minutes each day for 6 days. Tyra read minutes each day for 8 days. What is the difference, in minutes, between the total amount of time Noel read and the total amount of time Tyra read?
A) 30
B) 40
C) 60
D) 80
Help with this please
Answer:
C) 60
Step-by-step explanation:
For computing the difference between the time taken in minutes by Noel and Tyra first we have to compute individually which are as follows
For Noel, the time taken required
[tex]= Time\ required \times number\ of\ days[/tex]
[tex]= 90\ minutes \times 6\ days[/tex]
= 540 minutes
For Tyra, the time taken required
[tex]= Time\ required \times number\ of\ days[/tex]
[tex]= 60\ minutes \times 8\ days[/tex]
= 480 minutes
So the difference is
= 540 minutes - 480 minutes
= 60 minutes
Hence, the third option is correct
HELP PLEASEE URGENT!!!!
Which description best fits the distribution of the data shown in the histogram?
skewed right
skewed left
uniform
approximately bell-shaped
ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. Show your work OR give an explaination.
Answer:
(x -4)^2 +1
Step-by-step explanation:
For some f(x), a translation to the right by "h" and up by "k" transforms it to ...
g(x) = f(x -h) +k
You want your G(x) to be a translation 4 units right and 1 unit up from F(x), so you have ...
G(x) = F(x -4) +1
G(x) = (x -4)^2 +1
artie multiplies a number by 4 and then adds 3. alice first add 3 to the same number and then multiplies it by 4. alice's answer is ___ more than Artie's number.
Answer:
Alice's answer is 15 more than Artie's number.
Step-by-step explanation:
The number initially is x.
Artie's number:
Multiplies by 4, so 4x.
Subtracts 3, so 4x - 3.
Alice's number:
Adds 3, so x + 3.
Multiplies by 4, so 4(x + 3) = 4x + 12
Alice's number is how much more than Artie's?
We subtract Alice's number by Artie's number.
4x + 12 - (4x - 3) = 4x + 12 - 4x + 3 = 15
Alice's answer is 15 more than Artie's number.
Select one of these options to each of these 6 question thar apply to
A .Slope formula
B. Given
C. Perpendicular lines intersect to form right angles.
D. Multiply.
E. Definition of right triangle
F. If the product of the slopes of two nonvertical lines is −1
the lines are perpendicular.
Answer:
1) Given
2) Slope Formula
3) Multiply
4) If the product of the slopes of two non vertical lines is -1, then the lines are perpendicular
5) Perpendicular lines intersect to form right angles
6) Definition of right triangle
Which is NOT a multiple of 15?
Answer:
2, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16 and anything else after 16
Step-by-step explanation:
Complete the equation of the line whose slope is -2 and y-intercept is (0,-8).
y =
Answer:
y = -2x - 8
Step-by-step explanation:
The slope is the number in front of the x. If it is a whole number then the slope is number/1. Then the slope is rise over runs. Then the y-intercept is the number after the x. Sometimes there isn't y-intercept. In this one the y-intercept is -8.
A real estate agent has surveyed houses in twenty nearby zip codes in an attempt to put together a comparison for a new property that she would like to put on the market. The 1057 houses she surveyed have a mean price of $169 comma 400, with a standard deviation of $ 68 comma 438. The mean living area is 2058 sq ft, with a standard deviation of 790 sq ft. Which is more unusual, a house in that market that sells for $300 comma 000 or a house that has 3000 sq ft of living area? Explain. Choose the correct answer below. The house that sells for $300 comma 000 has a z-score of nothing and the house with 3000 sq ft has a z-score of nothing. Thus, a house in that market that ▼ sells for $ 300 comma 000 has 3000 sq ft of living area is more unusual than a house that ▼ sells for $ 300 comma 000 has 3000 sq ft of living area .
Answer:
A a house in that market that sells for $300,000 is unusual.
Step-by-step explanation:
Let the random variable X denote the price of a house and the random variable Y denote the living area of a house.
The number of houses surveyed by the real estate agent is, n = 1057.
Assume that both the random variables, X and Y are approximately normally distributed.
That is,
[tex]X\sim N(\$169400,\ \$68438)\\\\Y\sim N(2058\ \text{sq. ft.},\ 790\ \text{sq. ft.})[/tex]
To compute the probability of a Normal distribution we first need to convert the raw scores to z-scores.
[tex]z=\frac{\text{Raw score}-\mu}{\sigma}[/tex]
A z-score higher than 1.96 and lower than -1.96 are considered unusual. The values having these z-scores are considered as outliers.
(1)
Compute the z-score for X = 300000 as follows:
[tex]z=\frac{X-\mu}{\sigma}\\\\=\frac{300000-169400}{68438}\\\\=2.70[/tex]
(2)
Compute the z-score for Y = 3000 as follows:
[tex]z=\frac{Y-\mu}{\sigma}\\\\=\frac{3000-2058}{790}\\\\=1.19[/tex]
The z-score for a house in that market that sells for $300,000 is more than 1.96.
This implies, that the price $300,000 is unusually high.
The complete statement is:
The house that sells for $300 comma 000 has a z-score of 2.70 and the house with 3000 sq ft has a z-score of 1.19.
The circumference of a circular field is 163.28 yards. What is the diameter of the field? Use 3.14 for it and do not round your answer.
Write the factors for the following numbers.
16, 36, 56, 48, 7
Select the decimal that is equivalent to 14/40
A. 0.28
__
B. 0.28
C. 0.376
__
D. 0.376
Answer:
it is 0.35
Step-by-step explanation:
but is it not listed??
The equivalent decimal will be 0.35
How to convert fraction into a decimal?In order to convert from fraction to decimal, we have to simlpy divide numerator by the denominator.
So according to asked question we have to convert 14/40 into equivalent decimal.
So we have just devide 14 by 40 whiuch will be 14÷40=0.35
Therefore, the equivalent decimal will be 0.35
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On the day you were born, Uncle Peyton gave your parents a piece of sports memorabilia valued at
$75. If past trends continue, it should appreciate in value 12% per year. If you sell it on your 18th
birthday, what can you expect the sale price to be?
Answer:
$162
Step-by-step explanation:
12% of $75 is $9 Therefore,
$9 x 18 = 162 ( 18 being the years )
Hope this helps!!!
-Conrad
A community is building a square park with side is that measure 120 m to separate the picnic area from the play area the park is split by a diagonal line what is the approximate length of the diagonal line
Answer:
(120^2+120^2)^0.5 = 169.705m
Step-by-step explanation:
Pythagorean Theorem