Answer:
r = 2.5
Step-by-step explanation:
U= π(r+h)
Where,
U = 16 1/2
h = 2 3/4
π = 3 1/7
U= π(r+h)
16 1/2 = 3 1/7(r + 2 3/4)
33/2 = 22/7(r + 11/4)
33/2 = 22/7r + (22/7 * 11/4)
33/2 = 22/7r + 242/28
33/2 - 242/28 = 22/7r
(462-242) / 28 = 22/7r
220/28 = 22/7r
r = 220/28 ÷ 22/7
= 220/28 × 7/22
= (220 * 7) / (28 * 22)
= 1540/616
= 2.5
r = 2.5
The triangle in Quadrant IV is the image of the triangle in Quadrant II after a counterclockwise rotation about the origin. What is the angle of rotation?
A.) 90
B.) 180
C.) 270
D.) 360
Answer:
A. 90 degrees
Step-by-step explanation:
Look this picture :]
A. What are the approximate coordinates of the point of intersection of the two
graphs? What does this mean in terms of the two mold populations?
B. The area of mold A is given by the function Ad) = 100 -0.25 .When will this
mold cover 1000 square millimeters? Explain your reasoning.
The two mold populations are equal after 4.5 years and the number of days is 9.2
Calculating the approximate coordinates of intersectionFrom the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we have the point of intersection to be
(x, y) = (4.5, 3)
The means that the two mold populations are equal after 4.5 years
Estimating when the moid will cover 1000 sq mlGiven that
A(d) = 100e⁰.²⁵ᵇ
We have
100e⁰.²⁵ᵇ = 1000
Divide by 100
e⁰.²⁵ᵇ = 10
So, we have
0.25d = ln(10)
Evaluate
0.25d = 2.3
Divide
d = 9.2
Hence, the number of days is 9.2
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make g the subject 4m+2g=p
Answer:
g = (p - 4m)/2Step-by-step explanation:
Make g the subject means solve for g:
4m + 2g = p2g = p - 4mg = (p - 4m)/2What is the numerical Absolute values of -16
Answer:
16
Step-by-step explanation:
The absolute value always gives a positive value , that is
| - a | = | a | = a , then
| - 16 | = | 16 | = 16
please show work it’s for calc
Answer:
-93
Step-by-step explanation:
This is just.a matter of using a couple of integration rules and plugging in then using order of operations.
Difference rule and constant multiple rule will be used here.
3(-17)-7(6)
-51-42
-93
Answer:
[tex]\displaystyle \int\limits^6_4 {[3f(x) - 7g(x)]} \, dx = -93[/tex]
General Formulas and Concepts:
Calculus
Integration
IntegralsIntegration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \int\limits^6_4 {f(x)} \, dx = -17[/tex]
[tex]\displaystyle \int\limits^6_4 {g(x)} \, dx = 6[/tex]
[tex]\displaystyle \int\limits^6_4 {[3f(x) - 7g(x)]} \, dx[/tex]
Step 2: Integrate
[Integral] Rewrite [Integration Property - Addition/Subtraction]: [tex]\displaystyle \int\limits^6_4 {[3f(x) - 7g(x)]} \, dx = \int\limits^6_4 {3f(x)} \, dx - \int\limits^6_4 {7g(x)} \, dx[/tex][Integrals] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int\limits^6_4 {[3f(x) - 7g(x)]} \, dx = 3 \int\limits^6_4 {f(x)} \, dx - 7 \int\limits^6_4 {g(x)} \, dx[/tex][Integrals] Substitute: [tex]\displaystyle \int\limits^6_4 {[3f(x) - 7g(x)]} \, dx = 3(-17) - 7(6)[/tex]Simplify: [tex]\displaystyle \int\limits^6_4 {[3f(x) - 7g(x)]} \, dx = -93[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Find two numbers whose sum is sixty eight and whose difference is twenty two
Answer:
45 and 23
Step-by-step explanation:
Let x equal the first number and y equal the second number.
We can set the following equations up with our information:
[tex]x+y=68[/tex]
[tex]x-y=22[/tex]
Adding the two equations together, we get:
[tex]2x=90[/tex]
Dividing by two, we receive [tex]x=45[/tex]
We can plug this into our first equation to get [tex]45+y=68[/tex].
Subtracting 45 from both sides, we get [tex]y=23[/tex].
The two numbers are 45 and 23, solved using system of equations.
What is a system of equations?A system of equations is a set of equations, involving similar variables used to solve for the variables simultaneously.
How to solve the question?In the question, we are asked to find the two numbers, whose sum is 68 and the difference is 22.
We assume the two numbers to be x and y.
The sum of the two numbers is given to be 68.
This can be shown as an equation, x + y = 68 ... (i).
The difference of the two numbers is given to be 22.
This can be shown as an equation, x - y = 22 ... (ii).
Equations (i) and (ii) together makes a system of equation in the variables x and y.
To solve for the system of equation, we add (i) and (ii), to get:
x + y = 68
x - y = 22
_________
2x = 90,
or, x = 45.
Substituting x = 45 in (i), we get:
x + y = 68,
or, 45 + y = 68,
or, y = 23.
Thus, the two numbers are 45 and 23, solved using system of equations.
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what is 7/8 divided by 1/8
Answer:
7
Step-by-step explanation:
Concepts:
Division: a system of distributing a collection of things into equal partsFractions: #s that represent a part of a wholeDividing Fractions: dividing a fraction by another fraction = multiplying the fraction by the inverse (reciprocal) of the other oneInverse Operations: operations that are opposite of each other (e.g. inverse of addition is subtraction)Solving:
1. First, let's set up the equation:
7/8 ÷ 1/8
2. We can get the reciprocal of 1/8 by doing the opposite of division; multiplication. 1/8 becomes 1 · 8, and that's equal to 8.
3. Now, since we know dividing a fraction by another one is exactly the same as multiplying the fraction by the reciprocal of the other, let's multiply 7/8 by the inverse of 1/8, which is 8.
7/8 · 8 = 56/8 = 7
Therefore, 7/8 divided by 1/8 is equal to 7.
The temperature of a city B (x) last week was lesser than or equal to - 9°C.
Represent this as an inequality. Does -8°C satisfy this inequality?
O xs-9, No.
O x2-9, No.
XS-9, Yes.
O x2-9, Yes.
Answer:
XS-9, yes#####################
ASAP 10 POINTS
Using the same application you used in Part F, reflect the line segment across the x-axis. Then, rotate it 90° clockwise. Finally, translate it down to 2 units. What is the relationship between the original line segment and the transformed line segment? If you transform a line segment with a sequence of reflections, rotations, or translations, is it still a line segment?
It is found that the relationship between the original line segment and the transformed line segment is rotation because when you flip everything around its called rotation.
How does rotation by 90 degrees changes coordinates of a point if rotation is with respect to origin?Let the point be having coordinates (x,y).
If the point is in first quadrant:
Subcase: Clockwise rotation:
Then (x,y) → (y, -x)
Subcase: Counterclockwise rotation:
Then (x,y) → (-y, x)
It is given that in Part F, reflect the line segment across the x-axis. Then, rotate it 90° clockwise.
Also No effect as we assumed rotation is being with respect to origin.
Finally, translate it down to 2 units.
Therefore, It is found that the relationship between the original line segment and the transformed line segment is rotation because when you flip everything around its called rotation.
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PLEASE HELP URGENT!!! QUESTION IS IN PICTURE PLEASE
Angle 3 and Angle 5 are corresponding angles. Corresponding angles lie in the same relative position. As such, they are congruent.
50x - 100 = 25x + 25
25x - 100 = 25
25x = 125
x = 5
Angle 3 = 50(5) - 100 = 250 - 100 = 150
Angle 5 = 25(5) + 25 = 125 + 25 = 150
Hope this helps!
URGENT PLEASE HELP. In the triangles below, DF MN, DG MP, D P. Can you prove that DFG MNP? Explain your answer. (15 points)
Answer:
FDG=NMP
Step-by-step explanation:
You can see below that the bases DG and MP are equal, and one of the saides DF and NM are equal, and D=P, so the triangles are the same, you can also see the triangles are isosceles, so they are the same since NM=FD=FG=NP and FD=NM is shown in the picture
Write down the nth term of the following sequence
the following pattern are made using small squares
Answer:
a) [tex]n = 4 + 7\cdot i[/tex], [tex]\forall\, i \in \mathbb{N}_O[/tex], b) [tex]n = 2 + (i+1)^{2}[/tex], [tex]\forall \,i\in \mathbb{N}_{O}[/tex]
Step-by-step explanation:
a) The sequence is representative for an arithmetic sequence, whose key characteristic is that difference is between two consecutive elements is the same. In particular, the sequence has a difference of 7 between any two consecutive elements and the initial element is 4. Hence, we can derive the following formula:
[tex]n = n_{o} + r\cdot i[/tex], [tex]\forall\, i \in \mathbb{N}_O[/tex] (1)
Where:
[tex]n_{o}[/tex] - Initial element.
[tex]r[/tex] - Difference between two consecutive elements.
[tex]i[/tex] - Index.
If we know that [tex]n_{o} = 4[/tex] and [tex]r = 7[/tex], then the expression for the n-th term of the sequence is:
[tex]n = 4 + 7\cdot i[/tex], [tex]\forall \,i\in\mathbb{N}_{O}[/tex]
b) In this case, we have a geometric sequence described by the following equation:
[tex]n = 2 + (i+1)^{2}[/tex], [tex]\forall \,i\in \mathbb{N}_{O}[/tex] (2)
The constant element ([tex]2[/tex]) represents the two extreme squares, whereas the second order binomial represents the total of squares in the middle ([tex](i+1)^{2}[/tex]) and emulates the area formula of the square.
Answer:
Step-by-step explanation:
?
Please answer correctly and you will receive a crown and brainliest.
Answer:
See explanation
Step-by-step explanation:
Chevy Malibu hybrid = 6.8
Ford mustang = 9.6
Nissan Pathfinder = 10.8
Toyota Corolla = 6.3
1. Chevy Malibu hybrid to Toyota Corolla = 6.8 to 6.3
= 6.8 : 6.3
= 6.8 / 6.3
2. Nissan Pathfinder to Ford mustang = 10.8 to 9.6
= 10.8 : 9.6
= 10.8 / 9.6
= 2.7 / 2.4
3. Toyota Corolla to Nissan Pathfinder = 6.3 to 10.8
= 6.3 : 10.8
= 6.3 / 10.8
4. Ford mustang to Chevy Malibu hybrid = 9.6 to 6.8
= 9.6 : 6.8
= 9.6 / 6.8
= 2.4 / 1.7
Classify the polygon as regular or irregular, and concave or convex.
Answer:
This would be a regular polygon.
Step-by-step explanation:
A regular polygon has congruent sides and interior angles.
An irregular polygon does not have congruent sides and all interior angles.
A convex polygon does not have a interior angle greater than 180°.
Lastly, a concave polygon has only one interior angle greater than 180°.
Using the process of elimination, it would not be a convex or concave polygon. Now we have either a regular or irregular polygon. This polygon can not be a irregular polygon because all the sides are congruent. This means that this polygon is a regular polygon!
The given polygon is a regular convex polygon.
What is a polygon ?In geometry, a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain (or polygonal circuit). The bounded plane region, the bounding circuit, or the two together, may be called a polygon.
The segments of a polygonal circuit are called its edges or sides. The points where two edges meet are the polygon's vertices or corners. The interior of a solid polygon is sometimes called its body.
Given,
Polygon has 8 edges and 8 vertices.
1. Regular or Irregular:
A regular polygon has congruent sides and interior angles.
In the figure all sides are of equal length and the angle are same so, It is a regular polygon.
2. Convex or concave:
Convex polygon has all interior angles less than 180° while in concave polygon at least one interior angle should be greater than 180°.
In the given polygon all angles are less than 180°, so it is a convex polygon.
Hence, by the above explanation, the given polygon is regular convex polygon.
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which is the right equation
Answer:
C
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{2}{3}[/tex] x + 1 ← is in slope- intercept form
with slope m = [tex]\frac{2}{3}[/tex]
Parallel lines have equal slopes , then
the slope of a parallel rail has slope = [tex]\frac{2}{3}[/tex]
The only equation with this slope is
y = [tex]\frac{2}{3}[/tex] x + 3 ← could represent the path of the second rail → C
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!!
Answer:
A and c
Step-by-step explanation:
1) Length arc = r*theta
5.11=1*theta. Theta is 5.11 rads
2) Law of cosines is the correct answer
Which shapes have the greatest area?
(Select all that apply.)
Answer:
the trapiezium
Step-by-step explanation:
It has a area of 4 which is the highest
(4y¹²) (3y)
Please help me
I NEED HELP
THERE ARE TWO OTHER QUESTIONS AS WELL
Answer:
Please find attached the drawing of ABCD, A'B'C'D', and A''B''C''D'', created with MS Excel
Step-by-step explanation:
The given composition of transformation is [tex]r_{y-axis} \ \circ \ r_{x = - 4}[/tex]
The transformation on the right, [tex]r_{x = - 4}[/tex], is carried out first as follows;
The point A with coordinate (-7, 7) reflected across the line x = -4, gives;
A(-7, 7) [tex]r_{x = - 4}[/tex] → A'(-1, 7)
Similarly, we have;
B(-5, 7) [tex]r_{x = - 4}[/tex] → B'(-3, 7)
C(-5, 1) [tex]r_{x = - 4}[/tex] → C'(-3, 1)
D(-7, 1) [tex]r_{x = - 4}[/tex] → D'(-1, 1)
Therefore, the image of the given rectangle after reflection across the lie, x = -4, is A'(-1, 7), B'(-3, 7), C'(-3, 1), and D'(-1, 1)
The second transformation, [tex]r_{y-axis}[/tex], is found as follows;
(x, y) [tex]r_{y-axis}[/tex] → (x, -y)
Therefore, we have;
A'(-1, 7) [tex]r_{y-axis}[/tex] → A''(-1, -7)
B'(-3, 7) [tex]r_{y-axis}[/tex] → B''(-3, -7)
C'(-3, 1) [tex]r_{y-axis}[/tex] → C''(-3, -1)
D'(-1, 1) [tex]r_{y-axis}[/tex] → D''(-1, -1)
The points ABCD, A'B'C'D', and A''B''C''D'' are plotted on MS Excel and the points joined with straight lines to form the drawing of the triangles as shown in the attached figure.
Staff
Americans eat 7 billion hot dogs between Memorial Day and Labor Day. If all these hot dogs were laid end to end they
would circle the earth 21.5 times. If the circumference of the Earth is approximately 24,860 miles, and one mile is
5,280 feet, find the length (in inches) of each hot dog. (Round your answer to the nearest tenth)
Answer:
The length of each hot dog is 0.5000 inches.
Step-by-step explanation:
Total number of hot dogs eaten = 7 000 000 000
Circumference of the earth = 24 860 miles
21.5 times the circumference of the Earth = 21.5 x 24 860 miles
= 534490 miles
But,
1 mile = 5280 feet
So that,
534490 miles = X
X = 5280 x 534490
= 287707200 feet
Also,
1 feet = 12 inches
Then,
287707200 feet = Y
Y = 12 x 287707200
= 3452486400 inches
Thus,
the length of each hot dog = [tex]\frac{3452486400}{7000000000}[/tex]
= 0.4932
The length of each hot dog is 0.5000 inches.
find the missing side of the triangle
Answer:
x = 40
Step-by-step explanation:
3-4-5 triangle scale factor by 10
Missing side is 4
4*10 = 40 | Multiply by 10 bc of scale factor
x = 40
in the afternoon the temperature was 52 degrees. a strong arctic cold front caused the temperature tio drop 38 degrees in 4 3/4 hours. if the temperature continues to drop at thre same rate what will the temperature be after 2 hours?
Answer:
5.9
Step-by-step explanation:
14 degrees dropped in 4 3/4, in one hour 56/19 degrees will drop. In two hours, 112/19=5.9 degrees will drop
Simplify
(+8)-(-4)+(-5)
Answer:
17
Step-by-step explanation:
8+4+5=17
Answer:
7
Step-by-step explanation:
(+8)-(-4)+(-5)
=8+4-5
=12-5
=7
find m<DCV and m<VBD
9514 1404 393
Answer:
m∠DCV = 50°m∠VBD = 50°Step-by-step explanation:
Arc DV is 100°, so any inscribed angle that intercepts that arc will have a measure that is half of 100°, or 50°.
Inscribed angles DCV and VBD both intercept arc DV, so both are 50°.
For a party Justin buys a pizza and cuts it into 24pieces.Marc eats 1/6 of portion of the pizza and claudine eats 1/4 of what remains after both of them have eaten, Sylvia eats 1/3 of the result.Justin gets to eat what is left over what fraction of the pizza did Justin not eat
Answer:
Justin did not eat 7/12 of the pizza
Step-by-step explanation:
Marc eats 1/6 × 24 = 4, 24 - 4 = 20 left over
Claudine eats 1/4 × 20= 5, 20 - 5 = 15 left over
Sylvia eats 1/3 × 15 = 5, 15 - 5 = 10 left over
Justin eats 10.
24 - 10 = 14
Justin did not eat 14/24 = 7/12
Here are the ages (in years) of 8 professors at a college.
61, 42, 61, 34, 49, 44, 36, 47
What is the percentage of these professors who are younger than 47?
Answer:
50%
Step-by-step explanation:
There are 8 professors. 4 of them are younger than 47 (not equal to 47, YOUNGER)
1. 42
2. 34
3. 44
4. 36
To find percentage we have to do 4/8 x 100
this equals to 50%
Find the reciprocal of I
Answer:
the reciprocal of 1 is 1
Step-by-step explanation:
1/1 flipped is still equal to 1
a store is offering a 20% discount on all sales over $50. If you purchase a shirt and a pair of leans for $62.50, what is the amount of the discount you would receive?
Answer:
you would receive 12.5% of the discount
Step-by-step explanation:
20% off of 62.50 is 50; so you would pay $50
Given the preimage and image, find the dilation scale factor
Answer:
it should be 2 as your answer
En un cine que hay 550 personas, el 30% va a ver una película de terror, el 25% va a ver una novela, el restante va a ver una pelicula de ciencia ficcion ¿ cuantas personas van a ver cada pelicula?
POR FAVOR AYUDENMEN!!!!
Answer:
165 ver una pelicula de terror, 137.5 (138) ver una novela, y 247 ver una pelicula de ciencia ficcion.
Step-by-step explanation:
0.3 x 550 = 165
0.25 x 550 = 137.5 --> 138
165 + 138 = 303
550 - 303 = 247
