Answer:
The answer to this problem is True.
Question 4 OT TU
Find the volume of the cube in inches and enter your answer below. Round
your answer to the nearest hundredth. Do not include units in your answer.
3.2 in.
3.2 in.
3.2 in.
Answer here
Answer:
The volume of cube is 32.7 inches³
Step-by-step explanation:
Given :-
Side of cube is 3.2 inTo Find :-
Volume of cube
Formula Used :-
Volume of cube = ( side)³
Solution :-
To calculate the volume of cube. Simply by applying formula volume of cube. As given in the question that ths side if cube is 3.2 inches.Using Formula
Volume of cube = ( side) ³
Where,
side of cube is 3.2 inchesCalculation being :-
⟼ Volume of cube = ( 3.2 inches) ³
⟼ Volume of cube = 32.768 inches ³
Hence, the volume of cube is 32.768 inches³.
Round nearest hundred = 32.7 inches³.
What is the area of the shaded sector?
The measure of central angle XYZ is 1.257 radians.
O 101 units
O 207 units
O 40 units
O 80 units
N
8
X
The area of the sector of the given circle is: 40 units²
What is circle?A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.
The set of all points on a plane that are a fixed distance from a center,
A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident.
The circle is the shape with the largest area for a given length of perimeter.
Given the following:
r = 8
θ = 1.25 radians
Area of sector = (1/2) × r²θ = (1/2) × (8²)(1.25)
Hence, the Area of sector = 40 units²
Learn more about the circles on:
https://brainly.com/question/29142813
#SPJ7
In a school there are 1800 boys and 1200 girls. In an exam only 32 % of the boys passed and 50 % of the girls passed. Find the percentage of the total who did not pass.
Answer:
Step-by-step explanation:
The total number of students is 1800 + 1200 = 3000
The % of boys who did not pass is 100% - 32% = 68%
The number of boys who did not pass is 68/100 * 1800 = 1224
The % of the girls who did not pass is 100% - 50% = 50%
The number of girls who did not pass was 50/100 * 1200 = 600
The total number who did not pass was 1824
The % who did not pass was 1824/3000 * 100 = 60.8%
The endpoints of a diameter of a circle are (2, 4) and (-4, 7).
What is the standard form of the equation of this circle?
Enter your answer by filling in the boxes. Enter any fractions in simplified form.
X
Answer:
(x+1)²+(y-5.5)²=45/4.
Step-by-step explanation:
1) the common form of the required equation is: (x-a)²+(y-b)²=r², where 'a' and 'b' are the coordinates of the centre of the given circle, r - radius of the given circle.
2) the midpoint of the diameter is the centre of the given circle, its coordinates are:
[tex]\frac{2-4}{2}=-1; \ and \ \frac{4+7}{2}=5.5.[/tex]
3) the length of the radius of the given circle is:
[tex]r=\frac{1}{2}*\sqrt{(2+4)^2+(4-7)^2)}=\sqrt{\frac{45}{4}}.[/tex]
4) according to the common form and calculated the centre O(-1;5.5) and the radius it is possible to make up the required equation of the circle:
[tex](x+1)^2+(y-5.5)^2=\frac{45}{4}.[/tex]
Answer:
The correct answer is (x+1)^2 + (y−11/2)^2 = 45/4
Step-by-step explanation:
This is how the system wants it put in. See question 12
he table represents the multiplication of two binomials.
A geometric model with 2 columns and 2 rows. The first column is labeled 3 x with entries A, C. The second column is labeled 5 with entries B, 10. The first row is labeled negative x with entries A, B. The second row is labeled 2 with entries C, 10.
What is the value of A?
negative 3 x
negative 3 x squared
negative 5 x
negative 5 x squared
Answer:
B.
Step-by-step explanation:
If you add 3x + x, it would be 3x^2
PLSSS, NEED ANSWER. Find the midpoint of the line segment with end coordinates of (-2,-5 and 3,-2
). Give coordinates as decimals where apropriate
Answer:
(0.5, -3.5)
Step-by-step explanation:
(x1 + x2/2, y1 + y2/2)
(-2 + 3 / 2, -5 - 2 / 2)
(1/2, -7/2)
Choose the answer that makes the sentence true.
Answer:
I would answer but I don't know what the answers are...
Answer:
I cant see the answers, any way you can get it up?
Jasmine ran 5 miles in 42.5 minutes. Caroline ran 3 miles in 26.4 minutes. Who ran at a faster pace?
A) Jasmine because she ran 0.8 minute faster per mile.
B) Jasmine because she ran 0.3 minute faster per mile.
C) Caroline because she ran 0.7 minute faster per mile.
D) Caroline because she ran 0.2 minute faster per mile
Answer:
B
Step-by-step explanation:
For this problem, let us find the respective speeds of Jasmine and Caroline and compare the two. All we have to do is divide #minutes by #miles to find the time spent per one mile.
Jasmine:
[tex]\frac{42.5}{5} =\\\\[/tex]
[tex]8.5[/tex] minutes per mile
Caroline:
[tex]\frac{26.4}{3} =\\[/tex]
[tex]8.8[/tex] minutes per mile
Since Caroline takes longer to run a mile than Jasmine, We now know that Jasmine ran at a faster pace:
[tex]8.8-8.5=0.3[/tex]
B. Jasmine ran at a faster pace because she ran 0.3 minutes faster per mile.
I hope this helps! Let me know if you hae any questions :)
Work out(3^5-5^3+2) divided 4^2
Given:
[tex](3^5-5^3+2)[/tex] divided by [tex]4^2[/tex].
To find:
The simplified form of the given expression.
Solution:
We have, [tex](3^5-5^3+2)[/tex] divided by [tex]4^2[/tex]. Mathematically it can be written as:
[tex]\dfrac{3^5-5^3+2}{4^2}=\dfrac{243-125+2}{16}[/tex]
[tex]\dfrac{3^5-5^3+2}{4^2}=\dfrac{120}{16}[/tex]
[tex]\dfrac{3^5-5^3+2}{4^2}=\dfrac{15}{2}[/tex]
[tex]\dfrac{3^5-5^3+2}{4^2}=7.5[/tex]
Therefore, the simplified form of the given expression is 7.5.
pls help will give brainiest !!!! pls hurry pls pls
Answer:
"D" (2,4), (-2,-4)
Step-by-step explanation:
Help me to do this question
Answer:
140°
Step-by-step explanation:
a° = 180°-(75°-35°) = 180°-40° = 140°
(First correct answer for brainliest) Find the length of JM
Answer:
JM = 18 units
Step-by-step explanation:
∆MHN and ∆JKH are similar (by A.A.A axiom)
so, their sides are proportional
i.e.
(JM+18)/(20+15) = 18/15
or, JM + 18 = 540/15
or, JM = 36-18
hence, JM = 18
If p and q vary inversely and p is 22 when q is 5, determine q when p is equal to 2.
Answer:
q = 55
Step-by-step explanation:
[tex]p\ \alpha\ \frac{1}q} \\\\p = k \times \frac{1}{q}\\\\22 = k \times \frac{1}{5}\\\\22 \times 5 = k\\\\k = 110\\\\[/tex]
Find q when p = 2
[tex]p = k \times \frac{1}{q}\\\\2 = 110 \times \frac{1}{q}\\\\2 \times q = 110\\\\q = \frac{110}{2}\\\\q = 55[/tex]
PLEASE HELP HURRY ASAP
The spinner depicted is a fair spinner. The spinner is least likely to land on which number?
A. 1
B. 2
C. 3
D. it is impossible to tell
0. 00147 in standard form
Answer:
Answer: It can be written as 1.47x10-³
Step-by-step explanation:
0.00147 = 1.47
1.47 = 1.47 x 10 -^3
The sum of three of the interior angles of a pentagon is 420°. If the remaining angles are equal, how much does each measure?
P is directly proportional to (q + p)^2. Q is 1 when p is 1. Find the equation connectng q to p and find q when p is 10
Answer:
A directly proportionality between x and y is written as:
y = k*x
where k is the constant of proportionality.
Then, if p is directly proportional to (q + p)^2
We can write this as:
p = k*(q + p)^2
Now we know that q = 1 when p = 1
Then we can replace these values in the above equation to find the value of k
1 = k*(1 + 1)^2
1 = k*2^2 = k*4
1/4 = k
Then the equation is:
p = (1/4)(p + q)^2
Now we want to find the value of q when p = 10
So we just replace p by 10, and solve the equation
10 = (1/4)*(q + 10)^2
10*4 = (q + 10)^2
40 = q^2 + 2*q*10 + 10^2
40 = q^2 + 20*q + 100
This is a quadratic equation for q, such that:
q^2 + 20*q + 100 - 40 = 0
q^2 +20*q + 60 = 0
This is the equation that gives the value of q when p = 10
To solve this, we can use Bhaskara's equation, which says that for a quadratic equation:
a*x^2 + b*x + c = 0
The solutions are given by:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2*a}[/tex]
In this case, the solutions for q are:
[tex]q = \frac{-20 \pm \sqrt{20^2 - 4*1*60} }{2*1} = \frac{-20 \pm 12.65}{2}[/tex]
Then we have two possible values for q:
q = (-20 + 12.65)/2 = -3.675
q = (-20 - 12.65)/2 = -16.325
A PE teacher has to organise two year groups into netball teams, each separately. Year 7 has 70 students and Year 8 has 98 students. If each year group must be split up equally into teams all of the same size, what is the largest team size she can use?
Answer:
14
Step-by-step explanation:
Find HCF
Year 7: 70 students
7x5x2=70
Year 8: 98 students
7x7x2=98
HCF: 14
The largest team size she can use is 14 students.
Grade 7: 5 teams
Grade 8: 7 teams
Brainliest please, thanks!
Two similar triangles have a scale factor of 5:3. The perimeter of the larger triangle is 75 sq inches. What is the perimeter of the smaller triangle measured in inches?
Answer:
45 inches
Step-by-step explanation:
Create a proportion where x is the perimeter of the smaller triangle:
[tex]\frac{5}{3}[/tex] = [tex]\frac{75}{x}[/tex]
Cross multiply and solve for x:
5x = 225
x = 45
So, the perimeter of the smaller triangle is 45 inches
Write an equation of a line that is perpendicular to
the line y = 2/3x+5 and that passes through the
point (0,4).
Answer:
y = (-3/2)x + 4
Step-by-step explanation:
The slope of the given line is 2/3. The slope of any line perpendicular to the given line is the negative reciprocal of 2/3, which comes out to -3/2.
Now we have the slope of the new line and know that it passes through (0, 4). (0, 4) happens to be the y-intercept, b, in y = mx + b:
Substituting -3/2 for m and 4 for b, we get y = (-3/2)x + 4.
express each of the following in the form p/q where q≠0
0.8+0.7bar+0.43(bar on 3 only)
plz help
Answer:
8/10+7/9+39/90
Step-by-step explanation:
expressing something in the form p/q means basically make it a fraction.
.8 = 80/100
.7bar= .77777777777 (7/9)
0.43 (bar on 3 only is)= 0.433333333333333
how to make a fraction for .777777bar
10x = 7.777777777
X = .7777777777
subtract 10x-x
we get 7/9 for .7777 (10x-x = 9 thats the denominator and, 7.7777-.7777 = 7.)
how to make a fraction for .43bar for 3 only
100x = 43.3333333333
10x = 4.33333333333
100x-10x = 43-4
43-4 = 39, and the 333333333 cancel out 39/90
Plz hep me I don’t understand
Answer:
Purple
Step-by-step explanation:
Because the graph has the circle filled in at the point 11, we know that it is a valid solution and that we are looking for a sign with the line under it. However, because we know that the number line extends to the right of 11, these would include answers such as 12, 13, 14, 15, etc. Because all these values are "greater than or equal to" 11, our answer is 11 <or= a, which is the purple one or the one on the right.
Can you please help me. It says to find each product
Here is the question
There is a picture
Answer:
-3/5
Step-by-step explanation:
7 * -3/7 * 1/5
Rewritng
7/7 * -3/5 *1
Simplifying fractions
1 * -3/5 *1
-3/5
BRAINLIEST TO WHOEVER IS CORRECT!!!
Write an equation that represents the line.
Use exact numbers.
Answer:
y=[tex]-\frac{4}{3}[/tex]x+2
Step-by-step explanation:
To write the equation for this line, we are going to use slope-intercept form, which is written as
y=mx+b.
Here are the meanings of each variable:
y= basically the "name" of the function and it always stays as y.
m= slope, which is rise over run.
x= variable that is always on the right of the slope and it always stays as x.
b= y-intercept, or the value that crosses the y-axis.
We will substitute numbers into the equation along the way. The first thing we will want to do is find b, which is the easiest.
The line crosses the y-axis at 2, so that is our value of b.
Our new equation is
y=mx+2.
Next, we will find the slope. The most efficient way of doing this is looking at the lowest point that is already provided, (3, -2), and finding a way to rise and run to the highest point, (0, 2).
If you look closely at the graph, we need to rise up 4 and run over -3 to get to the other point. Therefore, the slope is [tex]-\frac{4}{3}[/tex], and we can substitute it into our equation, which is completed and is now
y=[tex]-\frac{4}{3}[/tex]x+2
I hope this helps you out!! Have an awesome day ^^
Find the inverse of the function y = 2x^2 + 2.
Answer:
its the last one.
Step-by-step explanation:
easy way to do inverse functions:
write out equation :
y = 2[tex]x^{2}[/tex] + 2
Switch the x and y:
x = 2[tex]y^{2}[/tex] + 2
Solve for y :
x = 2[tex]y^{2}[/tex] + 2
subtract 2 both sides
x - 2 = 2[tex]y^{2}[/tex]
Divide both sides by 2
[tex]\frac{x}{2}[/tex] - [tex]\frac{2}{2}[/tex] = [tex]y^{2}[/tex]
reduce fraction and square root both sides
what is the quotient
4/5 ÷ 1/10
Answer:
4/5 ÷ 1/10 = 40/5 as simplified as 8/1 in fraction form.
4/5 ÷ 1/10 = 8 in decimal form.
This calculator, formula, step by step calculation and associated information for fraction 4/5 divided by 1/10 may help students, teachers, parents or professionals to learn, teach, practice or verify such division between two fractions calculations efficiently.
Step-by-step explanation:
hope it helps...
Answer:
8/1
Step-by-step explanation:
4/5 change × 10/1= 8/1 hope helpful answer to your question have a good time to you
which TWO numbers round to 3 as the nearest whole number?
A. 2.226
B. 2.562
C. 2.332
D. 2.351
E. 1.975
F. 2.864
, please
Question 12 of 25
Suppose that f(x) = x and g(x) = { x. Which statement best compares the
graph of g(x) with the graph of f(x)?
A. The graph of g(x) is the graph of f(x) stretched vertically.
B. The graph of g(x) is the graph of f(x) stretched vertically and
flipped over the x-axis.
C. The graph of g(x) is the graph of f(x) compressed vertically and
flipped over the x-axis.
D. The graph of g(x) is the graph of f(x) compressed vertically.
SUBMIT
Answer: D
Step-by-step explanation:
Write the quadratic function in the form f (x) = a (x - h)2 + k.
Then, give the vertex of its graph.
f (x) = – 2x² + 16x – 30
Writing in the form specified: f(x)=???
Vertex: (?,?)
Answer:
The vertex form is:
[tex]f(x)=-2(x-4)^2+2[/tex]
Where the vertex of the function is (4, 2).
Step-by-step explanation:
We want to find the vertex and the vertex form of the quadratic function:
[tex]f(x)=-2x^2+16x-30[/tex]
We have two methods of converting from standard form to vertex form: (1) by using the vertex formulas or (2) by completing the square.
Method 1) Using Formulas:
First, note that the leading coefficient of our function is -2.
The vertex of a quadratic equation is given by the formulas:
[tex]\displaystyle \text{Vertex}=\left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]
In this case, a = -2, b = 16, and c = -30. Find the x-coordinate of the vertex:
[tex]\displaystyle x=-\frac{(16)}{2(-2)}=\frac{-16}{-4}=4[/tex]
In order to find the y-coordinate of the vertex, we substitute this value back in. Hence:
[tex]f(4)=-2(4)^2+16(4)-30=2[/tex]
Therefore, our vertex is (4, 2).
Vertex form is:
[tex]\displaystyle f(x)=a(x-h)^2+k[/tex]
Where a is the leading coefficient and (h, k) is the vertex.
Substitute. Our leading coefficient is -2 and our vertex is (4, 2). Therefore:
[tex]\displaystyle f(x)=-2(x-4)^2+2[/tex]
Method 2) Completing the Square:
To complete the square, we first factor out the leading coefficient from the first two terms:
[tex]f(x)=-2(x^2-8x)-30[/tex]
Then, we divide the coefficient of the b term by half and square it. This yields:
[tex]\displaystyle \left(\frac{-8}{2}\right)^2=16[/tex]
We will add this value inside of the parentheses. Since we added 16 inside the parentheses, we will subtract 16 outside of the parenthese to remain the equality of the function. However, since the parentheses is multiplied by -2, we technically added -2(16) = -32 inside. So, we will subtract -32 outside. Thus:
[tex]f(x)=-2(x^2-8x+16)-30-(-32)[/tex]
Simplify:
[tex]f(x)=-2(x^2-8x+16)+2[/tex]
Factor using the perfect square trinomial:
[tex]f(x)=-2(x-4)^2+2[/tex]
We acquire the same result.
give that y=-4,x=3,b=7 & c=2 find b^c
Answer:
49
Step-by-step explanation:
b^c
Let b = 7 and c = 2
7^2
7*7 = 49
Answer:
49
Step-by-step explanation:
you fill in the equation so that it's 7^2. which is 7*7. this equals 49