Answer:
lines LO and LP intersect
Step-by-step explanation:
they touch at point L
write how many small cubes there are in this cuboid
Answer:
30
Step-by-step explanation:
because the front row has 15 and the back row shud also have 15 (because it is a cuboid)
.°. 15 × 2 = 30
.°. no. of cubes = 30 cubes
Answer:
30
Step-by-step explanation:
The easiest way to find this is to find the volume of the cube, instead of counting them one by one.
So, volume = l x w x h = 5 x 2 x 3 = 30 units^2
This units ^2 is the number of cubes you have.ie. 30
Hope this helps.
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For every 10 minutes that Tia plays on the computer, she plays outside
for 19 minutes. What is the ratio of minutes Tia plays on the computer
to minutes she plays outside?
Answer: 10:19
Step-by-step explanation:
Time she plays on computer = 10 minutes
Time she plays outside = 19
Ratio will be 10:19
Use the Factor Theorem to determine which of the following are factors of 3x^4 + x^3 - 63x^2 + 39x + 20 x - 4, x + 1/3, x + 1, x + 2/3, x - 2/3, x + 5, x + 4
Answer:
(x -4)(x +1/3)(x +5)Step-by-step explanation:
The Factor Theorem says that if f(a) = 0, then (x -a) is a factor.
To check if any of these binomials are factors, we evaluate the function at the opposite of the binomial's constant. The results show that these are factors:
(x -4)(x +1/3)(x +5)__
This is confirmed by the graph, which shows that the remaining factor is (x -1).
Answer:
x+ 1/3
x-4
x+5
Step-by-step explanation:
EDGE 2020 practice
Sphere A has a diameter of 2 and is dilated by a scale factor of 3 to create sphere B. What is the ratio of the volume of sphere A to sphere B?
A 2:6
B 4:36
C 1:3
D 1:27
Answer:
1:27
Step-by-step explanation:
I will use solve in terms of pi
Know that Original volume * scale factor cubed = new volume.
The scale factor is 3 and 3^3 is 27,
Therefore the ratio is 1:27
Scaled figures are zoomed in or zoomed out (or just no zoom) versions of each other. The correct option is D.
What are Scaled figures?Scaled figures are zoomed in or zoomed out (or just no zoom) versions of each other. They have scaled versions 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 a scale factor.
The linear things grow linearly like length, height etc.
The quantities which are squares or multiple linear things twice grow by the square of the scale factor. Thus, we need to multiply or divide by k²
to get each other corresponding quantities from their similar figures' quantities.
So the area of the first figure = k² × the area of the second figure
Similarly, increasing product-derived quantities will need increased power of 'k' to get the corresponding quantity. Thus, for volume, it is k cubed. or
The volume of the first figure = k³ × volume of the 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.
Given that the diameter of sphere A is 2 units, it is dilated by a scale factor of 3 to create sphere B. Therefore, the diameter of sphere B is,
Diameter of sphere B = 3 × Diameter of sphere A
= 3 × 2 units
= 6 units
Now, the ratio of diameters of the sphere and the volume of the sphere can be written as,
[tex](\dfrac{\text{Diameter of sphere A}}{\text{Diameter of sphere B}})^3 = \dfrac{\text{Volume of sphere A}}{\text{Volume of sphere B}} \\\\\\(\dfrac{2}{6})^3 = \dfrac{\text{Volume of sphere A}}{\text{Volume of sphere B}}\\\\\\\dfrac{\text{Volume of sphere A}}{\text{Volume of sphere B}} = \dfrac{1}{27}[/tex]
Hence, the correct option is D.
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The Surface Area of a square pyramid is 3600 ft. The slant height is 80 feet and the base is 20 feet. At most how many 1 foot cubic
blocks can be stuffed in the pyramid?
Answer:
Answer:
10,583 flexible cubes
9915 rigid cubes
Step-by-step explanation:
The equation for the surface area of a square pyramid is area of base plus perimeter of base multiplied by the slant height
Surface area = A + 1/2·p·s
The volume of the pyramid = 1/3×A×h
Where:
A = Area of the base = 20 × 20 = 400 ft²
h = The height of the pyramid = √((slant height)² - ((base side length)/2)²)
h = √(80² - (20/2)²) = 30·√7
The volume of the pyramid = 1/3*400*30·√7 = 4000·√7 ft³ = 10,583.005 ft³
If the cubes are flexible, approximately 10,583 cubes
For rigid cubes we have
Given that the height of the pyramid = 30·√7
The slope of the pyramid = 30·√7/10 = 3·√7
So an increase in height of 1 foot gives a reduction in width of 2/(3·√7)
The bottom can hold 400 cubes
The next layer can hold 19×19 = 361
3rd 361
4th 361
5th 324
6th 324
7th 324
8th 324
9th
Continuing, we get a total of about 9915 rigid cubes in the pyramid.
TWO MINUTES HURRY HELP ME PLEASE
Answer:
x=-1
Step-by-step explanation:
Answer: x. = -1
Step-by-step explanation:
******WHO ANSWERS WILL BE MARK AS BRAINLIEST******
Which equation can be used to solve for a?
tan50=a/3
cos50=3/a
sin 50=a/3
tan50=3/a
Answer:
Tan 50 =3/a is the ans
Step-by-step explanation:
Feel very happy to help u
Answer:
tan 50=3/a
Step-by-step explanation:
Using the trigonometric ratio, tan(tita)=opposite/adjacent.
Opposite is the side with only 90°. Adjacent is the side with two angles.
What is the product?
Answer:
B
Step-by-step explanation:
3•(-6)=-18
3•(-11)=-33
3•(-14)=-42
3•(-9)=-27
Answer:
B. [ -18 -33]
[ -42 -27]
you have to distribute the x3 to all four numbers in the matrix
Question Progress
Homework Progress
Find the volume of this cylinder.
Give your answer to 1 decimal place.
11 cm
14 cm
Answer:
5324
Step-by-step explanation:
formula=πr^2 h
22÷7×11×11×14=
22÷7×1694=
242×22=5324 cm
Help! I'm confused on this. It's not factorable right? What would my answer be? Factor [tex]xy+8y-2x-16[/tex].
Answer:
(y-2)(x+8)
Step-by-step explanation:
xy + 8y - 2x - 16= (xy +8y) - (2x+16) =y(x+8) - 2(x+8) =(y-2)(x+8)As you can see it is factorized
Simplify the expression.
Write your answer without negative exponents.
Answer: [tex]\frac{5a^2}{-10a^4b^9}[/tex]
Step-by-step explanation:
Any negative exponent can be moved to the other side of the fraction as a positive exponent.
Thus, simply move the negative exponents to get: 5a^2/b*b^8*-10a^4. Then, use the exponent rule to get 5a^2/-10a^4b^9
Hope it helps <3
Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides of th
triangle?
5 cm and 8 cm
6 cm and 7 cm
7 cm and 2 cm
o 8 cm and 9 cm
Answer:
8 cm and 9 cm
Step-by-step explanation:
The other two sides added together have to equal a larger number than 13, since 13 is the largest side.
5 + 8 = 13
6 + 7 = 13
7 + 2 = 9
8 + 9 = 17
What is the equation of the translated function, g(x), if
f(x)=x²?
O g(x) = (x-4)2 + 6
O g(x) = (x + 6)2 - 4
O g(x) = (x - 6)2 - 4
O g(x) = (x + 4)2 + 6
Answer:
the answer is (x+6)2-4
The correct equation of the translated function, g(x) is,
⇒ g(x) = (x + 4)² 6
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
here, we have,
Given that:
The function is,
,⇒ f (x) = x²
Here, f(x) has vertex point is (0,0)
and g(x) vertex point is (-4,6)
Hence, The general form of equation with vertex is
⇒ y = a (x - h)² + k
where (h, k) are the vertex.
So, the equation of g(x) form is
⇒ g(x) = (x + 4)² + 6
Therefore, Option D is correct.
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What is the value of x?
Answer:
The answer is option C.
Step-by-step explanation:
Angles in a triangle add up to 180°
To find x add up all the angles in the triangle and subtract it from 180°
Thus
x + 95 + 57 = 180
x = 180 - 152
x = 28°
Hope this helps
This table shows data collected by a runner. A three column table with 7 rows. The first column, Time in minutes, has the entries, 1, 2, 3, 4, 5, 6. The second column, Distance in miles, has the entries, 0.19, 0.38, 0.57, 0.76, 0.95, 1.14. The third column, Elevation in meters, has the entries, 12, 28, 67, 98, 124, 145. Which statement about the scenario represented in the table is true? Assume time is the independent variable. The distance run is a nonlinear function because it does not have a constant rate of change. The elevation is a nonlinear function because it does not have a constant rate of change. Both the distance run and the elevation are nonlinear functions because they do not have constant rates of change. Both the distance run and the elevation are linear functions because they have a constant rate of change.
The correct option is B, The elevation is a nonlinear function because it does not have a constant rate of change.
What is a linear equation?A linear equation is an equation in which each term has at max one degree. Linear equation in variable x and y can be written in the form y = mx + c.
Linear equation with two variables, when graphed on the cartesian plane with axes of those variables, give a straight line.
Given that the table shows data collected by a runner. A three-column table with 7 rows. The first column shows Time in minutes. The second column shows Distance in miles. The third column shows Elevation in meters.
Therefore, if we assume the time as the independent function, therefore, the other two variable must change with respect to time.
Also, if the two functions are needed to be linear than the change in the variable must be constant and should be with respect to time.
Hence, if the statement about the scenario represented in the table is true is B, The elevation is a nonlinear function because it does not have a constant rate of change.
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Answer:
the answer is b the dude up above is right
Which expression is equal to the expression below?
(7•2)7
Answer:
C. 7⁷ × 2⁷
Step-by-step explanation:
The exponent is outside of the brackets, so we distribute the exponent to all the terms inside the brackets.
(7 × 2)⁷
7⁷ × 2⁷
Answer:
c. [tex]7^7[/tex]· [tex]2^7[/tex]
Step-by-step explanation:
please mark me brainliest!
The ratio of students who own a.car to those who own a dog is 4.3. If 36 students own dogs, how many students own cats?
A. 48
B. 36
C. 27
D. 18
Answer:
A. 48
Step-by-step explanation:
cat/dog= 4/3
4/3=x/36
x= 36*4/3= 48
Option A. 48
find the geometric mean of 64 and 49
Answer:
i think 56..?
Step-by-step explanation:
The geometric mean of 64 and 49 is 56.
What is geometric mean?The geometric mean is a mean or average of the data sets using their product. The formula to calculate geometric mean is [tex]\sqrt{a*b}[/tex]
How to find geometric mean?To find the geometric mean of 64 and 49 we have to put these values in the above formula. So,
Geometric Mean=[tex]\sqrt{64*49}[/tex]
=[tex]\sqrt{3136}[/tex]
=56
Hence the geometric mean of 64 and 49 is 56.
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Find the volume of each sphere to the nearest hundredth?
Answer:
Can i have a diagram please
Step-by-step explanation:
Aaron borrows 150.00 from Austin.he promised to pay back the money in 4 monthly installments.each month he wants to pay half the amount he paid the previous month.how much should Aaron pay the 1st month
Answer:
he would want to pay 80
Step-by-step explanation:
if you think about it he wants to pay half of the amount he paid for last month so its basically a trial and error/ guess and check question so i started with 15 and went 15+30 because half of 30 is 15 so you would multiply by 2 so 15+30= 45+60, 60 being half of 30 45+60= 105+120, again half is 60 105+120= 225 once i found out 15 was not correct i then tried the number 10. 10+20= 30+40=70+80= 150
i hope this helps you
$80
$80+$40+20+$10=$150
Which of the sets of ordered pairs represents a function?
A = {(2, −2), (5, −5), (−2, 2), (−5, 5)} B = {(4, 2), (4, −2), (9, 3), (9, −3)}
a. Only A
b. Only B
c. Both A and B Incorrect
d. Neither A nor B
Answer:
a. Only A
Step-by-step explanation:
A = {(2, −2), (5, −5), (−2, 2), (−5, 5)}
B = {(4, 2), (4, −2), (9, 3), (9, −3)}
A is a function, it has a one to one correspondence
B is not a function. The x point 2 goes to 2 different y values, so it does not have a one to one relationship
a. Only A
If A and B are independent events, P(A) = 0.4, and P(B) = 0.5, what is P(BIA)?
A. 0.5
B. 0.4
C 0.2
D. 0.1
Answer:
answer A. 0.5
Step-by-step explanation:
hello
as A and B are independent P(B/A)=P(B) =0.5
in short, the information provided by the event A does not impact at all the event B. so knowing A or not does not impact the probability of B.
you can use the formula as well P(B/A)=P(A and B) / P(A)=(P(A)xP(B))/P(A)=P(B)
hope this helps
Select the correct answer from each drop-down menu. The graph shows a proportional relationship between the number of bags of candy and their price. The constant of proportionality for this relationship is _______ . The price of 6 bags of candy is ________ .
Answer:
The constant of proportionality for this relationship is 6. The price of 6 bags of candy is $36.
Step-by-step explanation:
Assuming that bag of candies is x and price is y, then the constant of proportionality will be how much y increases for every increase of x by 1.
When x increases by 1, y increases by 6. So, the constant of proportionality for this relationship is 6.
Using this, to find the value of y when [tex]x=6[/tex], we can multiply 6 by 6 because for every time x increases by 6, y increase by [tex]6\cdot6[/tex] times.
[tex]6\cdot6=36[/tex]
So when x = 6, y = 36.
Hope this helped!
Answer:
I hope this helps!
Step-by-step explanation:
Which equations represent the line that is parallel to 2x-7y=9 and passes through the point
(5-3) ? Select two options.
Answer:
e. 2x - 7y = 31.
Step-by-step explanation:
If you want a line parallel to the equation, the line must have the same slope.
2x - 7y = 9
-7y = -2x + 9
y = 2/7x - 9/7
You are looking for a line where the slope is 2/7.
a. Slope is 7/2.
b. Slope is -7/2.
c. Slope is 7/2.
d. Slope is...
y + 2 = 3/4x + 3
y = 3/4x + 1
Slope is 3/4.
e. Slope is -2/-7, which is 2/7. Just make sure to check whether it passes through (5, -3) by substituting those points into the equation.
2 * 5 - 7 * -3 = 31
10 --21 = 31
10 + 21 = 31
And there's your answer: e.
Hope this helps!
4 2
4.
) 1
NAN
-9
Write the algebraic expressions.
The sum of x and y.
5 times a is added to b.
The sum of numbers x and yis multiplied by 3.
6 is added to the number b.
b and 4ab are the ........... term. (like/unlike)
Answer:
The sum of x and y: x+y
5 times a is added to b: 5a+b
The sum of x and y is multiplied by 3: 3(x+y)
6 is added to the number b: 6+b or b+6
b and 4ab are unlike terms.
Step-by-step explanation:
Hope this helps!
The sum of x and y means you have to add x+y. Also, sum is the answer to an addition problem. So, if you add x+y, you would get the sum.
5 times a is added to b means 5 times a or 5a, and once you have the product, you add it to b, so 5a+b.
The sum of numbers x and y is multiplied by 3 You have the sum of x and y which is x+y, then you multiply it by 3. So, you can write it as 3 times the sum of x+y, so 3(x+y).
When you are adding, you use the addition sign.
you are adding 6 to b, so b+6.
b and 4ab are unlike terms because they both don't the same two letters. Yes, they share the letter b, but they don't share the letter a, so ther are unlike terms.
If x represents the amount Rita earns each week, which expression represents the amount she earns in a year? x + 52 52 – x StartFraction x Over 52 EndFraction 52x
Answer:
For this problem we know that x represent the amount of money that RIta earns in a week
And we knwo that on a specific year we have in total 52 weeks. Then if we want to find the amount of money in a year we just need to do this operation:
[tex] A= 52x[/tex]
Step-by-step explanation:
For this problem we know that x represent the amount of money that RIta earns in a week
And we knwo that on a specific year we have in total 52 weeks. Then if we want to find the amount of money in a year we just need to do this operation:
[tex] A= 52x[/tex]
Answer:
D
Step-by-step explanation:
Peter deposited $5000 in a bank paying 5% interest compounded yearly. Find the balance in his account after 3 years.
Answer:
5750
Step-by-step explanation:
[tex]\frac{5}{100}[/tex]×5000=250
250×3=750
5000+750=5750
Question 7: What is the probability of drawing the complement of a king or a queen from a standard deck of
playing cards? (3 marks)
Answer:
The probability will be "0.8462". The more clarification is provided follows.
Step-by-step explanation:
K = King
Q = Queen
As we know, there are four Kings and four Queens in a pack of 52 cards.
∴ [tex]4+4=8[/tex] (King and Queen)
So that the probability will be:
⇒ [tex]P((K\cup Q)^8)=1-P(K\cup Q)[/tex]
⇒ [tex]=1-\frac{8}{52}[/tex]
⇒ [tex]=0.8462[/tex]
So that the above will be the right answer.
PLZ HELP QUICK!!! A restaurant catered a party for 40 people. A child’s dinner (c) cost $11 and an adult’s dinner (a) cost $20. The total cost of the dinner was $728. How many children and adults were at the party? Use the table to guess and check.
Answer:
It is 8 children and 32 adults
Step-by-step explanation:
8+32=40
11*8=88
20*32=640
640+88=728
Have a good day and stay safe!
An equation is written to represent the relationship between the temperature in Alaska during a snow storm, y, as it relates to the time in hours, x, since the storm started. A graph of the equation is created. Which quadrants of a coordinate grid should be used to display this data? please help.
Answer:
the first and fourth quadrants
Step-by-step explanation:
We have that the time found hours is given on the x-axis and that the temperature is represented on the y-axis.
Let's first analyze time:
Time cannot be negative, therefore, the x coordinate cannot be negative therefore, for the x axis, we can use the first and fourth quadrants
Second let's analyze the temperature:
The temperature can be negative, therefore, the coordinate and can be positive or negative therefore, that for the y axis, we can use all four quadrants.
If we combine the two previous conditions, we can deduce that we can only use the first and fourth quadrants to represent the required data.