Numbers of cubes are 224
We have been given that
side length of cubes is = 1 /4 cm
dimension of prism are
2 cm
7/4 cm
1 cm
Each cube with side lengths of 1/4 have a volume of (1/4)3 . To find how many cubes are needed to fill the prism.
Prism: A glass or other transparent object in prism form, especially one that is triangular with refracting surfaces at an acute angle with each other and that separates white light into a spectrum of colors.
To compute the prism volume in the given dimensions (cm³) and the cube volume in the same dimensions, then find the number of cube volumes in the prism volume.
Prism volume = l×w×h
Cube volume = (side)³
than Prism volume =(2×7/4×1)cm
= (3.5)cm
and cube volume = (1/4)³cm
= (1/64)cm
Then the number of cubes that will fit in the prism is ...
(Prism volume)/(cube volume)
(3.5)/(1/64)cm= 224 cubes
To learn more about Volume
visit https://brainly.ph/question/53283
#SPJ9
During the school year, each student planted
1.2 x 10^2 flowers as part of a community
service project. If there are 1.5 x 10³
students in the school, how many flowers did
they plant in total?
Answer:
18000
Step-by-step explanation:
We can multiply the number of students by the number of flowers per student.
[tex](1.2 \times 10^2)(1.5 \times 10^3) \\ \\ =(1.2)(1.5)(10^5) \\ \\ =1.8 \times 10^5 \\ \\ =18000[/tex]
the length l cm of a sheet of paper is 29.7 cm,corredt to the nearest millimetre complete this statement about the value of l
297 mm is nearest millimetre complete this statement .
The definition of convert units?
The same attribute is expressed using a unit conversion, but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometers, feet, or any other measurement unit instead of miles.An expression of how many of one unit are equal to another is known as a conversion factor. There are 12 inches in a foot, 1609 meters in a mile, 100 centimeters in a meter, 60 seconds in a minute, and so on.1 cm = 10mm
the length of a sheet of paper = 29.7 cm
the nearest millimetre = 29.7 * 10 = 297 mm
Learn more about convert units
brainly.com/question/11875738
#SPJ9
Explain the difference between solving an equation with the variables all on one side compared to equations with variables on both sides.
An equation having variables on both sides can be solved by bringing all variables to one side.
An equation with all variables on one side can be solved by simply keeping the variables on the left and simplifying the value on the right. For example,
5x = 6 + 2x;
3x = 6;
x = 2.
For an equation with variables on both sides, just bring all variables on one side. After that, the same process like above is to be followed. For example,
5y - 3 - 3y = 3y + 5 - 3y;
5y - 3y - 3y + 3y = 5 + 3;
2y = 8;
y = 4;
Thus, methods for solving both kinds of equations is similar.
To learn more about equations, refer to this link:
brainly.com/question/27664510
An equation having variables on both sides can be solved by bringing all variables to one side.
An equation with all variables on one side can be solved by simply keeping the variables on the left and simplifying the value on the right. For example,
5x = 6 + 2x;
3x = 6;
x = 2.
For an equation with variables on both sides, just bring all variables on one side. After that, the same process like above is to be followed. For example,
5y - 3 - 3y = 3y + 5 - 3y;
5y - 3y - 3y + 3y = 5 + 3;
2y = 8;
y = 4;
Thus, methods for solving both kinds of equations is similar.
To learn more about equations, refer to this link:
brainly.com/question/27664510
https://brainly.com/question/28502409
#SPJ4
Which of the following options are examples of how you can name the angle?
Answer:
∠T and ∠STP
Step-by-step explanation:
You can name an angle by their middle vertex letter which, in this case, is T.
And you can name an angle using the three letters provided. P, T, and S are the three letters provided. However, the vertex letter always has to be in the middle. So, it could be ∠STP or even ∠PTS.
Let me know if you don't understand or need more explanation.
Multiply:
-2x(3x - 4)
Enter the correct answer
Answer:
- 6x² + 8x
Step-by-step explanation:
- 2x(3x - 4) ← multiply each term in the parenthesis by - 2x
= - 6x² + 8x
Graph the equation y= -2x+250
Answer:
Graph in the picture
Which number would be found on the number line between 0 and -1
Answer: -.5 OR -.1, -.2, -.3, -.4, -.5, -.6,-.7,-.8,-.9
Step-by-step explanation: The simple answer is -.5, it is right in the middle of 0 and -1. The answer number is everything in between.
here were 34 bales of hay in the barn. Dan stacked more bales in the bar
today. There are now 64 bales of hay in the barn. How many bales did he store in the barn?
x^5y^5z^3 =?
A. bases are different, so this can't be done.
B. xy5z3
C. (xy)5z3
To simplify the indices expression x⁵y⁵z³, we can conclude that; A. bases are different, so this can't be done.
How to simplify Indices?We want to simplify the indices given as;
x⁵y⁵z³
Now, we can see that the bases are different and as such it means they cannot be simplified using laws of indices on the exponents.
This is because when the bases are different, the expression cannot be factored with the exponents being added, subtracted, divided or multiplied.
Thus, we will conclude that the bases are different, so this can't be done.
Read more about Indices at; https://brainly.com/question/15361818
#SPJ1
Raíz cuadrada de 864
Raíz cuadrada de 864
Para resolver este problema debemos tomar en cuenta los datos que nos dan y la ecuación de una hipérbola. Comencemos con los datos:
The general equation of ellipse is given as, x2a2+y2b2=1 x 2 a 2 + y 2 b 2 = 1 , where, a is length of semi-major axis and b is length of semi-minor axis.
centro: (0,0)
focus : (0, -√28) , (0, √28)
eje conjugado = 2√3
por los focos podemos ver que la hipérbola se dirige hacia el eje y, por lo que debemos tomar la siguiente forma de la ecuación de la parábola:
de los focos podemos obtener que: √28
y del eje conjugado podemos saber que al dividir la longitud del eje conjugado dentro de 2 obtenemos b, así que:
b = √3
podemos utilizar la siguiente fórmula para obtener a:
si despejamos a en la ecuación obtenemos lo siguiente:
ahora podemos sustituir los valores:
a=5
así que media vez conozcamos a, podemos sustituir los datos en la ecuación de la hipérbola así que obtenemos lo siguiente:
si graficamos la hipérbola, queda como en el documento adjunto.
To learn more hipérbola
Visit : https://brainly.com/question/24223341
#SPJ9
area of a parallelogram find the areas of the parallelograms whose vertices are given in exercises 35–40.
The area of parallelogram ABCD is found to be 2√3 square units.
What is parallelogram?A quadrilateral is known as a parallelogram in geometry. The opposite sides of a parallelogram are parallel & equal in length. Rhombus, rectangle, & square are a few examples of parallelograms.
We know that diagonal of such a parallelogram divides it into two equal triangles.
So, parallelogram area,
ABCD = 2× area of ΔABC (equation 1)
The area pf the triangle is found through the vertices are (x₁,y₁), (x₂,y₂), (x₃,y₃) is;
Area = (1/2)×[x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂)]
The vertices of the triangles are given as;
A(2,4), B(2+ √3 ,5) and C(2,6)
Area = (1/2)×[2(5−6) + (2+√3)(6−4) + 2(4−5)]
Area = (1/2)×[−2+2(2+ √3)−2]
Area = √3
When we plug this value into equation (1),
Parallelogram area,
ABCD = 2×the area of ABC
ABCD = 2×√3
ABCD = 2√3
Thus, the area of the parallelogram ABCD id estimated as 2√3 square units.
To now more about the parallelogram, here
https://brainly.com/question/20526916
#SPJ4
The correct question is -
Find the area of a parallelogram ABCD if three of its vertices are A(2,4), B(2+ √3 ,5) and C(2,6)
The sides of a rectangle are x and 3 - 2x. Express the rectangle's area as a function of x. Express the rectangle's perimeter as a function of x. Explain why x cannot equal 2.
Answer: It is 3.5
Step-by-step explanation:
I think this because 2/2x=3/2=1.5 but you have 2 left to add which=3.5
Need help on this question ASAP please
The equations ordered from the least to greatest is
y = (-3/4)x + 2
y - 3 = 1/2(x - 4)
3x - 4y = 7
y = 12(x - 19) + 5
Order of equationsFrom the question, we are to order the equations from least to greatest by the value of the slope
The given equations are
y = (-3/4)x + 2
3x - 4y = 7
y = 12(x - 19) + 5
y - 3 = 1/2(x - 4)
To determine the slopes of the line, we will compare the equations to the general form of the equation of a line
The general form of the equation of a line is
y = mx + b
Where m is the slope
and b is the y-intercept
y = (-3/4)x + 2By comparison,
m = -3/4
∴ Slope = -3/4
3x - 4y = 7First, rearrange
3x - 7 = 4y
4y = 3x - 7
y = (3/4)x - 7/4
By comparison,
m = 3/4
∴ Slope = 3/4
y = 12(x - 19) + 5First, simplify
y = 12x - 228 + 5
y = 12x - 223
By comparison,
m = 12
∴ Slope = 12
y - 3 = 1/2(x - 4)
First, simplify
y - 3= (1/2)x - 2
y = (1/2)x -2 + 3
y = (1/2)x + 1
By comparison,
m = 1/2
∴ Slope = 1/2
Now,
The slopes ordered from the least to greatest is
-3/4 < 1/2 < 3/4 < 12
Thus,
The equations ordered from the least to greatest is
y = (-3/4)x + 2
y - 3 = 1/2(x - 4)
3x - 4y = 7
y = 12(x - 19) + 5
Learn more on Order of equations here: https://brainly.com/question/9353038
#SPJ1
Which scales of data measurement are associated with quantitative data? interval and ratio ratio and nominal ordinal and interval nominal and ordinal
Interval and ratio scales of data measurement are associated with quantitative data.
Data measurement:- Data measurement is the way in which data can be subcategorized to analyze the data properly. Data can be classified into two types-
Quantitative data:- The data, which can be measured with numbers is called as quantitative data. Ex: duration, speed etc. This kind of data can be again subcategorized into two types-Discrete:- The data, which is of whole number, that can't be broken. Ex: a number of items.Continuous:- The data, which can be broken. Ex: height, weight etc. This type of data can be measured using interval and ratio measurement scales.Qualitative data:- The data, which is non-numerical value and categorical is called as qualitative data. Ex: yes, no responses or eye color etc. This type of data can be measured using nominal and ordinal measurement scales.Thus we can conclude that, Interval and ratio scales of data measurement are associated with quantitative data.
To know more about data measurement refer below link:
https://brainly.com/question/23894295
#SPJ4
Last year, Chau invested his money in two purchases. He purchased a certificate of deposit for 1000 that paid 2% interest per year and purchased 3000 in corporate bonds paying 7% interest per year.
The total interest earned at the end of first year is $250 and the percentage of interest for his total investment is 6.25%.
Given, Chau invested his money by purchasing the following:
a certificate of deposit for $1000 at the rate of 2% per year, and
corporate bonds for $3000 at the rate of 7% per year.
we know that simple interest is calculated by multiplying the amount invested P by the interest rate r times the number of years invested t.
therefore, I = P × r × t
a. The first investment has a principal of P = $1,000, r = 2% = 0.02, t = 1 yr
I₁ = 2000 × 0.04 × 1
I₁ = 40
The second investment has a principal P = $3,000, interest rate r = 7% = 0.07 and time t = 1yr
I₂ = 3000 × 0.07 × 1
I₂ = 210
Therefore, total interest = I₁ ₊ I₂
= 40 ₊ 210
= $250
b. The overall rate of interest can be found by dividing:
Total interest/Total amount invested × 100
= 250/(1000 ₊ 3000) × 100
= 250/4000 × 100
= 25/4
= 6.25%
Hence we get the total interest earned at the end of first year as $250 and its overall rate of interest as 6.25%
Learn more about Simple interest here:
brainly.com/question/20690803
#SPJ9
Your question was incomplete. Please find the missing content here.
Last year, Chau invested his money in two purchases. He purchased a certificate of deposit for $1000 that paid 2% interest per year and purchased $3000 in corporate bonds paying 7% interest per year.
(a) What was the total investment earned at the end of 1 year?
(b) What was the percentage interest for her total investment?
11. The following describes the United States nuclear stockpile from
1944 to 1974. From 1944 to 1958, there was a gradual increase in the
number of warheads from 0 to about 5000. From 1958 to 1966, there
was a rapid increase in the number of warheads to a maximum of
about 32,000. From 1966 to 1970, there was a decrease in the number
of warheads to about 26,000. Finally, from 1970 to 1974, there was
a small increase to about 28,000 warheads. Sketch a graph of the
function.
10.
nxhudkdodisuhaiioavsbos
- x≤-2 or x > 1 needs to be put on a number line pls help
Answer:
Step-by-step explanation:
Answer: closed circle on -2 with the arrow to the left
open circle on 1 with the arrow to the right
(write each as an algebratic expression) a cubed is equal to 31
Multiplying and dividing Decimals.
−6.87(−2.65).
Answer:18.2055
Step-by-step explanation:−6.87(−2.65)=−6.87*−2.65=18.2055
Suppose that f(1) = 1, f(4) = 5, f '(1) = 3, f '(4) = 3, and f '' is continuous. find the value of 4 1 xf ''(x) dx.
Answer: b
Step-by-step explanation:
I think
What’s the answer pls I need help
Answer:
C= [tex]\frac{AD}{B}[/tex]
Step-by-step explanation:
the answer is c because I said it c and the way you get the answer is by dividing the equality of the fraction
When the relationship between the unit of measurement of a scale (strength) and an outcome (pounds lifted) can be described by a linear equation y = a bx, the scale is said to have what property?
When the relationship between the unit of measurement of a scale (strength) and an outcome (pounds lifted) can be described by a linear equation y = a bx, the scale is said to have a property of equal intervals.
What are equal intervals?Equal intervals denote that the variations between numbers (units) are the same anywhere on the scale (e.g., the difference between 4 and 5 is the same as the difference between 76 and 77). The difference between two successive categories is equal in an equal interval. Temperature measured in Fahrenheit, for example, has equal intervals; that is, the difference between 30 and 31 degrees is one degree, and the difference between 100 and 101 degrees is one degree.When the relationship between a scale's unit of measurement (strength) and a consequence (pounds lifted) can be described by the linear equation y = a bx, the scale is said to possess an equal intervals property.Therefore, when the relationship between the unit of measurement of a scale (strength) and an outcome (pounds lifted) can be described by a linear equation y = a bx, the scale is said to have a property of equal intervals.
Know more about equal intervals here:
https://brainly.com/question/26620085
#SPJ4
1. Determine whether each relation is a function.
((3, 2), (1,2), (4,3), (6, -2)}
domain = { 3,1,4,6} and range = { 2, 2 , 3 ,-2} are each relation is a function.
Describe domain.
The term "domain," which is specific to the internet, can apply to both the structure of the internet and the organization of a company's network resources. A domain is typically a sphere of knowledge or a governing region.Describe Range?
Range is the difference between the largest and lowest values in a dataset in statistics and mathematics. One indicator of data dispersion is the range.
function = ((3, 2), (1,2), (4,3), (6, -2)}
domain = { 3,1,4,6}
range = { 2, 2 , 3 ,-2}
Learn more about domain
brainly.com/question/28135761
#SPJ9
write the non-teerminating decimal as fraction 0.555555555...
Answer:
111111111/200000000
Please help me answer all these 4 math questions! It is 8th-grade beginner level.
I will give Brainliest to the 1st one to answer ALL 4 questions and will give 100 points in this problem, giving people 50 points when they answer.
Answer:
Simplify the expression, Your answer would be :
1. [tex]\frac{9d}{e^{6} }[/tex]2. [tex]6d^{3}e[/tex]3.[tex]12de^{6}[/tex]Step-by-step explanation:
And to find the Value of the following expression, Your answer would be :
[tex]\frac{36}{11}[/tex]hopefully this helps you ! ~
What is the value of the expression?
40÷[20−4⋅(7−4)]
Please help im giving brainiest
Answer:5
Step-by-step explanation:
Help pleaseeeeeeeeee
Answer:
y2 = m*(x2 - x1) + y1
Step-by-step explanation:
m = (y2 - y1) / (x2 - x1)
y2 - y1 = m*(x2 - x1)
y2 = m*(x2 - x1) + y1
Ed’s class went on a class picnic. Ed’s teacher packed 20 sports drinks in a cooler for Ed and his classmates. Eight of the sports drinks were orange-flavored. What is the ratio of sports drinks that are not orange-flavored to all the sports drinks in the cooler? Choose from the numbers listed below to create the correct ratio.
The ratio of sports drinks that are not orange-flavored to all the sports drinks in the cooler is 3 : 5.
What is Ratio?
In mathematics, Ratio is a term that is used to compare two or more numbers.
Given that their are 20 sports drinks in a cooler out of which 8 are orange flavored. Therefore, we can write that -
Number of orange flavored bottles = n[O] = 8
Total number of bottles = n[T] = 20
We can calculate the ratio of sports drinks that are not orange-flavored to all the sports drinks in the cooler as follows -
Total number of non - orange flavored bottles will be -
n[C] = n[T] - n[O]
Now, the ration of non - orange bottles to the total number of bottle's can be written as -
n[C] / n[T]
(n[T] - n[O]) / n[T]
(20 - 8) / 20
12 / 20
3 / 5
Assume that the ratio is denoted by R. Therefore -
R = 3 : 5
Hence, the ratio of sports drinks that are not orange-flavored to all the sports drinks in the cooler is 3 : 5.
To solve more questions on Ratios, visit the link below-
https://brainly.com/question/22285396
#SPJ1
The volume of a cylinder closed at one end is 1056cm^2 with height 21cm, find the total surface area
Answer: ≈578 cm²
Step-by-step explanation:
[tex]V_{cyl}=1056\ cm^3\ \ \ \ H=21\ cm\\V_{cyl}=\pi R^2H\\1056=\pi *R^2*21\\1056=21\pi *R^2\\[/tex]
Divide both parts of the equation by 21π:
16=R²
4²=R²
4=R
[tex]S{tot\ sur}=\pi R^2+2\pi RH\\S{tot\ sur}=\pi R*(R+2H)\\S{tot\ sur}=\pi *4*(4+2*21)\\S{tot\ sur}=4\pi *(4+42)\\S{tot\ sur}=4\pi *46\\S{tot\ sur}=184\pi \\S{tot\ sur}\approx578\ cm^2[/tex]
To calculate the average of 56,78,90,32,45
Answer:
60.2 is the average
Step-by-step explanation:
add all numbers together to get: 301
divide 301 by 5 because there are 5 numbers total to get: 60.2
