The answer is:
There are 17.6 ounces in 0.5 kilograms.
Why?To calculate how many ounces are in 0.5 kilograms, we need to use the following factor:
[tex]1Kg=35.274ounces[/tex]
So, converting we have:
[tex]0.5Kilogram*\frac{35.274ounces}{1Kilogram}=17.637ounces=17.6ounces[/tex]
Have a nice day!
Find the Surface area. Round your answer to the nearest hundredth.
A.555.72 ft2
B. 568.40 ft2
C. 570.20 ft2
D. 575.31 ft2
Answer:
C
Step-by-step explanation:
The answer is C.
Hope this helps :)
The measure of a vertex angle of an isosceles triangle is 120° and the length of a leg is 8 cm. Find the length of a diameter of the circle circumscribed about this triangle.
Answer in CM, please. Thanks!
Answer:
16cm
Step-by-step explanation:
To find the diameter we must first find the radius and multiply by 2.
The isosceles triangle that has the length of a leg to be 8cm and a vertex angle of [tex]120\degree[/tex] that has been circumscribed is shown in the attachment.
We draw a line from the vertex of the isosceles triangle that bisects the base through the center O of the circle.
This implies that [tex]m\angle OAC=60\degree[/tex].
Based on this [tex]m\angle ACO=60\degree[/tex] because the two radii are equal.
It follows that:[tex]m\angle AOC=60\degree[/tex] because sum of angles in a triangle must be 180 degrees.
This means that, triangle AOC is an equilateral triangle, hence all sides are equal.
One side of this equilateral triangle happens to be the side of the leg of the isosceles triangle which is 8cm.
It follows that, the radius of the circle is 8cm.
Therefore the diameter of the circle is 16cm
Use the equation below to find a, if b = 5 and c = 12
a = 27 - b - c
Answer: 10
a=27-5-12=10
A= (27-5)=22-12=10
A=10
What graph best represents the solution to the equality y - 2x > -8
Answer:
In the attachmentStep-by-step explanation:
[tex]y-2x>-8\qquad\text{add}\ 2x\ \text{to both sides}\\\\y>2x-8\\-------------------------\\\\<,\ >-\ dotted\ line\\\leq,\ \geq-\ solid\ line\\<,\ \leq-\ \ shading\ below\ the\ line\\>,\ \geq-\ shading\ above\ the\ line\\-------------------------\\\\y=2x-8-\text{It's a linear function.}\\\text{We only need two points to draw a graph.}\\\text{Choice two arbitrary values of x, substitute to the equation,}\\\text{and calculate the values of y}.\\\\for\ x=4\to y=2(4)-8=8-8=0\to A(4,\ 0)\\for\ x=0\to y=2(0)-8=0-8=-8\to B(0,\ -8)[/tex]
Another question pls
Answer: 4
Explanation: Every other drink is a cappuccino (or half of the total drinks). All you need to do is divide 8 by 2, which gives you 4.
The answer is 4 because if 5 of the ten drinks were cap.’s then that means half are those, therefore, half of 8 is 4
Faye has a model airplane whose scale is 7 feet to 1 centimeter. If the wing of the real airplane is 28 feet long, how long is the wing on the model?
Answer:
4 cm is the correct answer
How many times larger is 4 x 10 12 than 8 x 10 7?
Answer:
50000 times
Step-by-step explanation:
Since these are given in scientific notation, we can convert them to have the same powers of 10. Converting 4*10^12 to something times 10^7, we can get 4*10^5*10^7. So we divide 400000 by 8 to see how many times larger it is than 8. So we get 50000 times as our answer.
Final answer:
To determine how many times larger [tex]4 * 10^{12}[/tex] is than [tex]8 * 10^7[/tex], divide the two numbers to get [tex]0.5 * 10^5[/tex], which simplifies to [tex]5 * 10^4[/tex] or 50,000 times larger.
Explanation:
To find out how many times larger [tex]4 * 10^{12}[/tex] is than [tex]8 * 10^7[/tex], we can divide the first number by the second:
[tex]4 * 10^{12}[/tex] ÷ [tex]8 * 10^7[/tex] = (4/8) x [tex]10^{(12-7)}[/tex]
Now, simplify:
First, simplify the division of the coefficients (4/8) which equals 0.5.
Then, subtract the exponents of 10, which is 12 - 7 = 5.
So, the final answer is:
[tex]0.5 * 10^5 = 5 * 10^4[/tex]
This means that [tex]4 * 10^{12}[/tex] is 50,000 times larger than [tex]8 * 10^7[/tex].
If a varies directly as b, and a = 28 when b = 7, find b when a = 5.
A 4/5
B 5/4
C 39.2
Answer: Option B.
[tex]b=\frac{5}{4}[/tex]
Step-by-step explanation:
If a varies directly with b then when a increases b it also increases by a factor k.
Then we can write that
[tex]a = kb[/tex]
We know that when a = 28 then b = 7. So
[tex]28 = k * 7[/tex]
[tex]k=\frac{28}{7}[/tex]
[tex]k=4[/tex]
Therefore the equation of proportionality is:
[tex]a=4b[/tex]
So when [tex]a=5[/tex] then:
[tex]5=4b\\\\b=\frac{5}{4}[/tex]
ANSWER
The correct choice is B.
EXPLANATION
If 'a' varies directly as 'b' then we write the equation of variation,
[tex]a = kb[/tex]
Where k is the constant of variation.
We have that a = 28 when b = 7.
This implies that,
[tex]28= 7k[/tex]
[tex]k = 4[/tex]
The equation now becomes
[tex]a = 4b[/tex]
When we a=5, we have
[tex]5 = 4b[/tex]
[tex]b = \frac{5}{4} [/tex]
The correct answer is B
PLEASE PLEASE PLEASE HELP ME
Answer:
[tex]\large\boxed{\dfrac{1}{45}}[/tex]
Step-by-step explanation:
1.
2 yellow marables of 10 all marables
[tex]P(A_1)=\dfrac{2}{10}=\dfrac{1}{5}[/tex]
2.
1 yellow marable of 9 all marables
[tex]P(A_2)=\dfrac{1}{9}[/tex]
[tex]P(A)=P(A_1)\cdot P(A_2)\\\\P(A)=\dfrac{1}{5}\cdot\dfrac{1}{9}=\dfrac{1}{45}[/tex]
What is the value of r, the part of the job that Marina can complete in 1 hour?
Answer:
0.4
Step-by-step explanation:
so, Katherine can do 0.1 of the job per hour. (if she needs 10 hours for the job, each hour she can do the whole divided by the time, so 1/10, which is 0.1)
if in two hours she and Marina can be done, then Marina will do 1(the whole job)-2/10 (twice as much as she can do in an hour)=0.8 of the job. So if Marina does 0.8 of the job in two hours, each hour she will do half of it: 0.4 - and this is the correct answer
i need help Distribute 7(5-3). What is the expanded form?
Question 3 options:
a (7 x 3) - (7 x 5)
b (7 + 5) - (7 + 3)
c (7 x 5) - (7 x 3)
d(7 x 5) + (7 x 3)
Answer: The answer to your question is C. (7*5) - (7*3)
Step-by-step explanation: because when you have an expression or equation in parentheses, you apply the distributive property to get rid of the parentheses:
The problem will now look like this:
[tex]7(5-3)= (7*5) - (7*3)[/tex]
And if they asked you for the answer in a whole number, it would be 14 because
7*5=35 and 7*3=21
35-21=14
So, therefore, the expanded form would be (7*5) - (7*3)
Cone A is similar to Cone B with a scale factor of 3:5. If the surface area of Cone B is 725 ft2 (squared), find the surface area of Cone A
Answer:
one A has a diameter of 10 inches and Cone B has a diameter of 50 inches. If the cones are similar, find the volume ratio of Cone A to Cone B.
Step-by-step explanation:
The surface area of Cone A when the surface area of Cone B is 725 ft² for the case when Cone A is similar to Cone B with a scale factor of 3:5 is 2013.89 ft²
How does scale factor affects the area and volume of a figure?Similar figure are zoomed in or zoomed out (or just no zoom) version of each other. They are scaled version of each other, and by scale, we mean that each of their dimension(like height, width etc linear quantities) are constant multiple of their similar figure.
So, if a side of a figure is of length L units, and that of its similar figure is of M units, then:
[tex]L = k \times M[/tex]
where 'k' will be called as scale factor.
The linear things grow linearly like length, height etc.
The quantities which are squares or multiple of linear things twice grow by square of scale factor. Thus, we need to multiply or divide by [tex]k^2[/tex]
to get each other corresponding quantity from their similar figures' quantities.
So area of first figure = [tex]k^2 \times[/tex] area of second figureSimilarly, increasing product derived quantities will need increased power of 'k' to get the corresponding quantity. Thus, for volume, it is k cubed. or
Volume of first figure = [tex]k^3 \times[/tex] volume of second figure.It is because we will need to multiply 3 linear quantities to get volume, which results in k getting multiplied 3 times, thus, cubed.
For this case, we're given that:
The scale factor between cone A and cone B is 3:5
That can be taken as: [tex]3/5 = 0.6[/tex] scale factor.
It means,
side length of cone A = [tex]0.6 \times[/tex] corresponding side length of cone B
Also, as given, we have:
Surface area of cone B = 725 ft²
Assume that cone A's surface area is S, then we get:
surface area of cone A = [tex]0.6^2 \times[/tex] surface area of cone B
[tex]725 = 0.6^2 \times S\\S =\dfrac{725}{0.6^2} \approx 2013.89 \: \rm ft^2[/tex]
Thus, the surface area of Cone A when the surface area of Cone B is 725 ft² for the case when Cone A is similar to Cone B with a scale factor of 3:5 is 2013.89 ft²
Learn more about scale factor here:
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11 sq root 45-4 sq root 5
Answer:
[tex]29\sqrt{5}[/tex]
Step-by-step explanation:
We want to simplify:
[tex]11\sqrt{45}-4\sqrt{5}[/tex]
We need to simplify the first radical before we can subtract
[tex]11\sqrt{9\times5}-4\sqrt{5}[/tex]
[tex]11\sqrt{9} \times\sqrt{5}-4\sqrt{5}[/tex]
This implies that:
[tex]11\times 3\times\sqrt{5}-4\sqrt{5}[/tex]
[tex]33\sqrt{5}-4\sqrt{5}[/tex]
We have now obtained like surds.
We simplify to get:
[tex]29\sqrt{5}[/tex]
A type of cracker, rectangular in shape, is stored in a vertical column with all of the crackers stacked directly on top of each other. Each cracker measures 2 inches in length by 1 1/2 inches in width. The volume of the column is 15 inches cubed. If there are 40 crackers in the column, what is the height of each individual cracker?
A-3/40 in
B- 1/8 in
C-1/5 in
D- 3/8 in
Answer:
b 1/8 inch
Step by step
just got right on ed
The height of each individual cracker in the vertical column is 1/8 inches.
What is the height of each individual cracker ?The height of each individual cracker can be determined by dividing the volume of the column by 40 and the area of each cracker.
Area of each cracker = 2 x 1 1/2
= 2 x 3/2 = 3 inches
Height of each individual cracker = 15/40 x 3 = 1/8 inches
To learn more about the volume, please check: https://brainly.com/question/26406747
If Siobhan hits a 0.25kg volleyball with a 0.5 N of force , what is the acceleration of the ball ?
Answer:
Acceleration = 2 meters /second^2.
Step-by-step explanation:
Use Newton's Second Law of Motion:
Force = mass * acceleration.
0.5 = 0.25 * a
a = 0.5 / 0.25
a = 2 meters /second^2.
What is the complete factorization of the polynomial below? X^3+3x^2-x-3
Answer:
(x + 3)(x + 1)(x - 1)
Step-by-step explanation:
Given
x³ + 3x² - x - 3
Factor the first/second and third/fourth terms
= x²(x + 3) - 1(x + 3) ← factor out (x + 3) from each term
= (x + 3)(x² - 1) ← (x² - 1) is a difference of squares, hence
= (x + 3)(x + 1)(x - 1) ← in factored form
What is the solution to he equation (y/y-4)-(4/y+4)=3^2/y^2-16
Answer:
[tex]y=\pm i \sqrt{7}[/tex]
Step-by-step explanation:
Given equation is [tex]\frac{y}{\left(y-4\right)}-\frac{4}{\left(y+4\right)}=\frac{3^2}{(y^2-16)}[/tex]
Factor denominators then solve by making denominators equal
[tex]\frac{y}{\left(y-4\right)}-\frac{4}{\left(y+4\right)}=\frac{3^2}{(y^2-16)}[/tex]
[tex]\frac{y}{\left(y-4\right)}-\frac{4}{\left(y+4\right)}=\frac{9}{(y+4)\left(y-4\right)}[/tex]
[tex]\frac{y\left(y+4\right)-4\left(y-4\right)}{\left(y-4\right)\left(y+4\right)}=\frac{9}{(y+4)\left(y-4\right)}[/tex]
[tex]y\left(y+4\right)-4\left(y-4\right)=9[/tex]
[tex]y^2+4y-4y+16=9[/tex]
[tex]y^2=9-16[/tex]
[tex]y^2=-7[/tex]
take squar root of both sides
[tex]y=\pm \sqrt{-7}[/tex]
[tex]y=\pm i \sqrt{7}[/tex]
Hence final answer is [tex]y=\pm i \sqrt{7}[/tex].
Harry is saving for a vacation. He kept track of how much he saved each month over the last six months in the following table. What did Harry save per month on average?
Sep
Oct
Nov
Dec
Jan
Feb
$145.00
$166.00
$204.00
$180.00
$70.00
$150.00
a.
$152.50
b.
$158.00
c.
$915.00
d.
$155.25
Answer:
$152.50
Step-by-step explanation:
Moths savings
Sep $145.00
Oct $166.00
Nov $204.00
Dec $180.00
Jan $70.00
Feb $150.00
Now we are supposed to find hat did Harry save per month on average
So, Mean = [tex]\frac{\text{Sum of all savings}}{\text{Total no. of months}}[/tex]
Mean = [tex]\frac{145+166+204+180+70+150}{6}[/tex]
Mean = [tex]\frac{915}{6}[/tex]
Mean = [tex]152.50[/tex]
So, Option A is correct.
Hence Harry saved $152.50 per month.
What is the simplest form of square root 1,764
[tex]\bf \sqrt{1764}~~ \begin{cases} 1764=&2\cdot 2\cdot 3\cdot 3\cdot 7\cdot 7\\ &2^2\cdot 3^2\cdot 7^2\\ &(2\cdot 3\cdot 7)^2\\ &42^2 \end{cases}\implies \sqrt{42^2}\implies 42[/tex]
Can someone please help . Thank you !! :)
Answer:
1000 years
Step-by-step explanation:
1x10^11 is basically 100 billion
1x10^8 is basically 100 million
so 100 billion divided by 100 milllion is basically 1000
so 1000 years
What is the slope of the points (-3, 5) and (-1, 4)?
Answer:
[tex]\large\boxed{\text{The slope}\ m=-\dfrac{1}{2}}[/tex]
Step-by-step explanation:
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (-3, 5) and (-1, 4). Substitute:
[tex]m=\dfrac{4-5}{-1-(-3)}=\dfrac{-1}{2}=-\dfrac{1}{2}[/tex]
What expression represents 2 times the sum of 5 and 7
Answer:
2(5+7)
Step-by-step explanation:
2 times any equation is 2(equation) and our equation is the sum of 5 and 7 which means 5 plus 7, therefore our equation is 2(5+7)
Answer
(5 + 7) · 2
Step-by-step explanation
If we take a look at PEMDAS or BEDMAS whichever one you were taught, multiplication comes before addition. (And unless you are in 2nd grade, you will know that "times" means multiplication, and sum is the result of an addition problem.)
P = Parentheses {|} B = Brackets/Parentheses
That means that anything in parentheses or brackets comes first, no matter what type of problem it is. So, if we add 5 and 7 and then multiply it by two and just rephrase that, we get 2 times the sum of 5 and 7.
Simplify the expression for questions 1,2,3
32√2
-5√5
3√7 + 7√6;
Find the highest perfect square and non-perfect square that will give you the product of what is inside the radicals, multiply the square roots of those perfect squares by their outside terms, and you will have your simplified radicals.
Can someone plz explain compound areas thanks
Answer:
A compound shape is a shape that is made up from other simple shapes. In this article we will be working out the area of a L shape (made up from 2 rectangles). To find the area of a compound shape, follow these simple steps: Step 1: Work out the missing lengths around the edge of the compound shape.
Step-by-step explanation:
given the vector v has an initial point (-2,-6) and a terminal point of (1,2) write vector v as a linear combination of the standard unit vector i and j.
Answer:
v=3i+8j
Step-by-step explanation:
The given the vector v has an initial point (-2,-6) and a terminal point of (1,2).
To find the components of vector v, we subtract the terminal points from the initial point to obtain.
v=<1,2>-<-2,-6>
v=<1--2,2--6>
v=<1+2,2+6>
v=<3,8>
As a linear combination of the standard unit vectors.
v=3i+8j
Been asking for this for almost a day now lol. Can someone please help me?
Please show your work on why choice C is correct
Brainliest + 40 points
Multiply her pay by the FICA tax rate:
325 x 0.0625 = $20.31
Now look in the table for her pay and then find her number of deductions ( 2) and find what the corresponding number is, then add that to her tax.
See picture:
20.31 + 2 = $22.31
The hypotenuse of a right angle triangle measures 12 units. what is the maximum possible area in square units, of the triangle ?
Answer:
The maximum possible area of the triangle is 36 units²
Step-by-step explanation:
Let
x, y the legs of the right triangle
Applying the Pythagoras Theorem
[tex]12^{2}=x^{2}+y^{2}\\\\144=x^{2}+y^{2}[/tex]
[tex]y=\sqrt{144-x^{2}}[/tex] ----> equation A
The area of the right triangle is equal to
[tex]A=\frac{1}{2}xy[/tex] ----> equation B
substitute equation A in equation B
[tex]A=\frac{1}{2}x(\sqrt{144-x^{2}})[/tex]
Using a graphing tool
The vertex of the graph is a maximum
That means
The x-coordinate of the vertex is the value of x for the maximum possible area of the triangle
The y-coordinate of the vertex is the maximum possible area of the triangle
The vertex is the point (8.485,36)
see the attached figure
therefore
The maximum possible area of the triangle is 36 units²
George rented a cab for his family for a day of sightseeing. The cab company charges $9 to pick up his family from the hotel and $0.25 per mile for the trip. If x represents the number of miles and y represents the total amount George pays, select the equation and the graph that correctly model this situation.
Answer:
1. y=0.25x+9
2. The graph that starts at 9 and the highest number is 11.
NOT THE ONE WITH THE HIGHEST NUMBER 15
Step-by-step explanation:
I got it right on edmentum
The equation that correctly models this situation y=0.25x+9.
What is a linear equation?
A linear equation has one or two variables. No variable in a linear equation is raised to a power greater than 1.No variable is used as the denominator of a fraction. A linear equation is defined as an equation that is written in the form of ax+by=c. When solving the system of linear equations, we will get the values of the variable, which is called the solution of a linear equation.
solving this we will get the valve of Y if x is given.
calculation:-
⇒pickup charges of the cap company= $9
⇒charge for per mile = $0.25
⇒let the total distance traveled is X
⇒total amount George pays (y)= 0.25x+9.
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A student measures the mass of an 8cm^3 block of confectioners (powdered) sugar to be 4.49 grams. Determine the density of powdered sugar.
Answer:
D=.56 g/cm^3
Explanation:
Density= mass/volume
D=4.49/8
D=.56 g/cm^3
Hope you get it!
An 8 cm³ block of confectioners sugar that weigh 4.49 grams would have a density of 0.56 g/cm³. Thus, the density of powdered sugar is 0.56 g/cm³
Calculating densityFrom the question, we are to determine the density of the powdered sugar
Density can be calculated by using the formula,
[tex]Density = \frac{Mass}{Volume}[/tex]
From the given information,
Volume = 8 cm³
and Mass = 4.49 g
Putting the parameters into the equation,
[tex]Density = \frac{4.49}{8}[/tex]
Density = 0.56125 g/cm³
Density ≅ 0.56 g/cm³
Hence, the density of powdered sugar is 0.56 g/cm³
Learn more on Calculating density here: https://brainly.com/question/11258429
Calculate the sales tax on purchases totaling $15,245. The
sales tax rate is 8.25%.
$825
$16,070
$16,502.71
$1,257.71
$15,245
Answer:
D. $1257.71
Step-by-step explanation:
Used my calculator. lol
Answer:
$1257.71.
Step-by-step explanation:
8.25% = 0.0825.
So the sales tax on $15,245
= $15,245 * 0.0825
= $1257.71.