[tex]\bf \textit{volume of a right-circular cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=10\\ h=8 \end{cases}\implies V=\pi (10)^2(8)\implies V=800\pi \\\\[-0.35em] ~\dotfill\\\\ ~\hfill V\approx 2513.27~\hfill[/tex]
the length of a rectangle is 9 units more than the width of the rectangle, w. if the width of the rectangle is more than 20 units, what equation could be used to find the possible values of the width?
Answer:
[tex]W>20[/tex]
Step-by-step explanation:
Let
L-----> the length of a rectangle
W---> the width of a rectangle
we know that
[tex]L=W+9[/tex] -----> equation A
[tex]W>20[/tex] -----> inequality B
The inequality B represent the equation that could be used to find the possible values of the width
The solution for the width of the rectangle is all real numbers greater than 20 units
What math problem equals 18
Answer:
9-0+1-1×2
Step-by-step explanation:
Answer:
10+8, (6÷3)x4, (9-1)+ (5x2)
Step-by-step explanation:
Thats all my brain can think of
At their annual car wash, the Wfms boys soccer team washes 30 cars in 45 minutes. At this rate, how many cars will they wash in one hour?
Answer:
Cars in one hour: 40 cars
Step-by-step explanation:
30 cars ---> 45 min
Xc ----------> 60 min
Xc = [(60min)*(30 cars)]/45 min
Xc = 40
Best regards
In the length of each leg of an isosceles triangle is 13 and the base is 24, the length of the altitude to the base is
Answer:
altitude = 5Step-by-step explanation:
Look at the picture.
Use the Pythagorean theorem:
[tex]a^2+12^2=13^2[/tex]
[tex]a^2+144=169[/tex] subtract 144 from both sides
[tex]a^2=25\to a=\sqrt{25}\\\\a=5[/tex]
Plzzzzzzzzzzz Help me
-3 < 0 Because -3 is less than 0.
Hope this helps ;P
Answer:
-3 > 3
Step-by-step explanation:
If you look at the number line, a negative number is just the positive number upside down. But a negative number is always greater than the positive number for your number line.
Convert 7.8 liters to milliliters.
0.0078 mL
78 mL
780 mL
7,800 mL
Answer:
7,800mL
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
1 Liter = 1000 mL
7.8 L = x
Cross multiply
7.8 * 1000 = 1*x
x = 7800 mL
D
Which of the following is a solution of y - x < -3?
(6, 2)
(2, 6)
(2, -1)
Answer:
[tex]\large\boxed{(6,\ 2)}[/tex]
Step-by-step explanation:
[tex]y-x<-3\qquad\text{add}\ x\ \text{to both sides}\\\\y<x-3\\\\\text{Put the values of x and y from the coordinates of the points and check inequality}\\\\(6,\ 2)\to x=6,\ y=2\\2<6-3=3\qquad\text{CORRECT\ :)}\\\\(2,\ 6)\to x=2,\ y=6\\6<2-3=-2\qquad\text{FALSE\ :(}\\\\(2,\ -1)\to x=2,\ y=-1\\-1<2-3=-1\qquad\text{FALES\ :(}[/tex]
Bryce measured the circumference of a tree trunk. Its circumference was 91 ft. What was the approximate diameter, rounded to the nearest foot?
Answer: 29 feet.
Step-by-step explanation: The formula for the circumference of a circle is C = π d. In order to calculate the diameter of the tree we will use the same formula and solve for d.
91 = 3.14 x d
In order to solve for d you need to divide both sides for 3.14:
D = 28.98, rounded to the nearest foot is 29 feet.
A bag contains 10 counters. 6 of them are white. a counter is taken at random and not replaced. A second counter is taken out of the bag at random. Calculate the probability that only one of the two counters are white.
PLEASE HELP!!
Step-by-step explanation:
Given:
There are 10 counters.
6 of the counters are white.
Two counters are drawn one after another without replacement.
To Find:
The probability that only one of the two counters is white
Explanation:
P(Only one of the two counters is white)
= P(white) x P( not white) + P(not white) x p(white)
Solution:
P(Only one of the two counters is white) = 6/10 x 4/9 + 4/10 x 6/9
P(Only one of the two counters is white) = 4/15 + 4/15
P(Only one of the two counters is white) = 8/15
Answer: The probability is 8/15
The probability that only one of the two counters is white will be [tex]8\div15[/tex] and this can be determined by using the probability formula.
Given :
A bag contains 10 counters, 6 of them are white. The counter is taken at random and not replaced.The probability that only one of the counters is white will be:
[tex]\rm =(probability\; of \;white\; counter) \times (probability\; of\; not \;a\; white \;counter) + (probability \;of\; not\; white\;p counter )\times (probability\; of\; white \;counter)[/tex]
[tex]= \left(\dfrac{6}{10}\times \dfrac{4}{9}\right)+\left (\dfrac{4}{10}\times \dfrac{6}{9}\right )[/tex]
[tex]= \left(\dfrac{12}{45}\right)+\left (\dfrac{4}{15}\right )[/tex]
[tex]=\dfrac{8}{15}[/tex]
Therefore, the probability that only one of the two counters is white will be[tex]8\div15[/tex].
For more information, refer to the link given below:
https://brainly.com/question/23017717
Help please and thank you
Answer:
C
Step-by-step explanation:
how i figured this out was not by using the table, but you can use the table
i just asked myself what two numbers multiplied together has a product of -12, one number must me negative
the two numbers must also add up to -4, meaning the bigger number had to be negative
the only answer that worked was 2 and -6
Proof by mathematical induction
Answer:
See below.
Step-by-step explanation:
I will assume that 3n is the last term.
First let n = k, then:
Sum ( k terms) = 7k^2 + 3k
Now, the sum of k+1 terms = 7k^2 + 3k + (k+1) th term
= 7k^2 + 3k + 14(k + 1) - 4
= 7k^2 + 17k + 10
Now 7(k + 1)^2 = 7k^2 +14 k + 7 so
7k^2 + 17k + 10
= 7(k + 1)^2 + 3k + 3
= 7(k + 1)^2 + 3(k + 1)
Which is the formula for the Sum of k terms with the k replaced by k + 1.
Therefore we can say if the sum formula is true for k terms then it is also true for (k + 1) terms.
But the formula is true for 1 term because 7(1)^2 + 3(1) = 10 .
So it must also be true for all subsequent( 2,3 etc) terms.
This completes the proof.
Inductive reasoning can include making generalizations based on specific instances, such as predicting that water freezes at 32°F based on past observations. The binomial theorem, a series expansion, is an example that can be proven using mathematical induction.
Explanation:Understanding Inductive Reasoning
Inductive reasoning is a method of reasoning in which the premises seek to supply strong evidence for the truth of the conclusion.
While the conclusion of a deductive argument is certain, the truth of the conclusion of an inductive argument is probable, based upon the evidence given.
This form of reasoning allows us to create generalizations based on observations or patterns we have seen.
For instance, when we see that water freezes at 32° Fahrenheit, and we observe a temperature drop to 30°F at night, we can induce that there will be ice in the morning.
Mathematical Induction
Mathematical induction is a specific type of inductive reasoning that is used for proving that a statement is true for all natural numbers. It is a two-step process where we first prove that a base case is true, typically for n=1.
Then, we show that if the statement is true for an arbitrary positive integer n, this implies that it's also true for n+1.
This creates a domino effect, proving the initial statement for all natural numbers.
The binomial theorem is a classic example of series expansion that can be proven using mathematical induction.
The theorem expands powers of binomials in a form that involves summation of terms, and each term is a product of binomial coefficients and the variables raised to appropriate powers.
Series Expansions and Inductive Inferences
Series expansions in mathematics, such as the binomial theorem, are formulated based on patterns observed in specific instances.
These patterns are then generalized to hold for all numbers within the constraints of the theorem. In contrast, weak inductive inferences are those which cannot firmly establish a conclusion due to insufficient or irrelevant evidence.
which of the following are right triangle congruence theorems
Answer:
The correct answer options are A, B, C and D.
Step-by-step explanation:
A. Leg-angle (LA):
According to this theorem, if the leg and an acute angle of one right triangle are congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent.
B. Hypotenuse-leg (HL):
If any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.
C. Hypotenuse-angle (HA):
If the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent.
D. Leg-leg (LL):
If any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.
Point P (1, 7) is located on circle C. The center of circle C is (-2, 3). What is the radius of the circle?
Answer:
Radius = 5 units
Step-by-step explanation:
We can use the formula of getting magnitude of a line joining two points;
(x1, y1) and (x2, y2)
Length = √((x2-x1)² + (y2-y1)²)
Therefore;
In this case the radius will be; PC
Length of PC = √((3-7)² + (-2-1)²)
= √((-4)² + (-3)²)
= √(16 +9)
= √ 25
= 5 units
Thus the radius is 5 units
Name the quadrilaterals that have four equal angles. A. rhombus, square B. Square, rectangle C. parallelogram, rhombus D. rhombus, trapezoid
Answer:
B. Square, Rectangle.
Step-by-step explanation:
The correct answer is B. Square, Rectangle.
A square will always have four equal angles and sides.
A rectangle will not have equal sides, but will always have angles of 90 degrees, as does the square.
Hope this helps!
Final answer:
Quadrilaterals with four equal angles are rectangles and squares since they both have four right angles. The correct answer is B: Square, Rectangle.
Explanation:
The question asks us to name the quadrilaterals that have four equal angles. A quadrilateral is a polygon with four sides and four angles. When all the angles in a quadrilateral are equal, they have to be right angles (each measuring 90°) since the sum of all angles in any quadrilateral is 360°. Thus, the types of quadrilaterals with four right angles are:
Rectangle: All four angles are right angles, and opposite sides are equal.
Square: It has all the properties of a rectangle but with the added feature that all four sides are also equal.
Therefore, the rectangles and squares are the quadrilaterals that have four equal angles.
A rhombus has four equal sides, but the angles are not necessarily right angles. A parallelogram has opposite angles that are equal, which does not guarantee that all four angles are equal unless it's a rectangle. Trapezoids generally do not have four equal angles. Therefore, the correct answer to the question is option B: Square, Rectangle.
Can somebody help me answer this plz?
It’s D because clock wise is right then you enlarge it to fit the new triangle
Answer:
Its the last choice.
Step-by-step explanation:
That would be a 90 degree clockwise rotation about the origin, followed by an enlargement of factor 3.
combine like terms to create an equivalent expression 6(1/2w-3/4)
The answer and work is the attached sheet!
Hope I helped~! :)
Answer:
3w - 4 1/2
Step-by-step explanation:
Expand the brackets.
6*1/2w - 6*3/4
6/2w - 18/4
3w - 18/4
3w - 4 1/2
Plz Hellllllllllp meeeeee
Answer:
The answer would be 8 cubic inches
Step-by-step explanation:
Answer: The answer is 14 Cubic In.
Step-by-step explanation: There is 10 Cubic In. in the bottom + the vertical 4 Cubic In. = 14 Cubic In.
There are 5 players in a baseball lineup. How many different batting orders are possible for these 5 players? (use FACTORIALS to find the probability of the number of permutations)
Answer:
i believe it is "5!"
Step-by-step explanation:
1x2x3x4x5=120
but the answer is "5!" ( include the exclamation point)
hope this helps (again)
Answer:
5! or 120.
Step-by-step explanation:
Think about this logically:
You have 5 players to start off with, so you have 5 players that can go in the first position.
That leaves you with 4 players. Any one of those 4 players can go in the second position.
And then there were 3 players. Any one of those 3 players can go in the third position.
2 to go! Pick your favorite player out of the 2 available to go in the fourth position.
And that leaves just one player who has to go last.
This can be modeled as: 5x4x3x2x1, or 5!, which equals 120 unique permutations.
Chris pays a fee if her bank balance falls below $10 on the statement date, her balance was -$3.46. Then, Chris made a deposit, d, in ample time, so she did not have to pay a fee. Write an inequality to represent this situation. Then solve the inequality. Describe the meaning of the solution.
If her balance is below 10, Chris must pay a few.
b = balance
Her balance was -$3.46. Then, Chris made a deposit, d, in ample time, so she did not have to pay a fee.
b + d > 10
b = -3.46
Inequality: -3.46 + d > 10d > 10 - -3.46
Solved: d > 13.46Meaning: The amount that Chris deposits has to increase her balance, so that it's not less than $10.Based on the information you provided, we can write an inequality to represent the situation. Chris's balance was -$3.46 and she made a deposit of d dollars. To avoid paying a fee, her balance must be greater than or equal to $10 on the statement date. So the inequality is: -3.46 + d >= 10. Solving for d, we get d >= 13.46. So Chris must have deposited at least $13.46 to avoid paying a fee.
Rebecca can make 180 cupcakes at her bakery each day. Currently, she has orders for more than 540 cupcakes.
1)
Which inequality represents how many days it will take Rebecca to complete her orders?
A) x > 3
B) x < 3
C) x ≥ 3
D) x ≤ 3
2)
Which graph shows the solution set for the inequality that represents how many days it will take Rebecca to complete her orders?
A) A
B) B
C) C
D) D
* Hover over answer image to enlarge
Answer:
(1) It is a 180x3=540. 0x3=0 3x8=24 send the tens on top of the 1 and add 1+2 tens and you get 540! I hope this is helpful
Step-by-step explanation:
Prolly A
1) The correct inequality which represent number of days it will take Rebecca to complete her order is,
⇒ x > 3
2) The correct graph is shown in image.
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
Rebecca can make 180 cupcakes at her bakery each day. Currently, she has orders for more than 540 cupcakes.
Let number of days is, x
Now, We can formulate;
⇒ 180x > 540
⇒ x > 3
Hence, 1) The correct inequality which represent number of days it will take Rebecca to complete her order is,
⇒ x > 3
And, The correct graph of x > 3 is shown in image.
Learn more about the inequality visit:
https://brainly.com/question/25944814
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Match the description to the best example so that all terms have a matching example.
Answer:
I'm pretty sure a set a decimal fractions is {1/4, 1/2, 3/4}
I think a set of whole numbers is {3, 4, 5.}
A set of integers might be {-2, -1, 0, +1.}
I'm am sure a set of natural numbers is {1, 2, 3.}
The set if rational numbers is {0.1, 0.2, 0.3} I think.
I am not that sure if my answers are right or not so sorry if this is incorrect.
Answer:
1-e
2-b
3-c
4-q
5-d
Step-by-step explanation:
In this question, we have to match the left hand side to corresponding right hand side. On the right side we are given
a){3,4,5}
b){0,1,2,3}
c){-2,-1,0,1}
d){[tex]\frac{1}{4}[/tex], [tex]\frac{1}{2}[/tex], [tex]\frac{3}{4}[/tex]}
e){0.1, 0.2, 0.3}
1) a set of decimal numbers:
It is clear the the set of decimal numbers is e) {0.1, 0.2, 0.3}
2) a set of whole numbers is b) {0,1,2,3}
3) a set of integers is c) {-2,-1,0,1}
4) a set of natural numbers is a) {3,4,5}
5) a set of rational numbers is d) {[tex]\frac{1}{4}[/tex], [tex]\frac{1}{2}[/tex], [tex]\frac{3}{4}[/tex]}
HURRY!!!!!!!!!!!!!Which equation represents g(x)?
Answer: I think its C but im not positive!
Step-by-step explanation:
Answer:
Option D. is the correct option
Step-by-step explanation:
The graph of g(x) is the translation of y = ∛x, which passes through origin (0, 0).
The graph in the figure is showing a shift of 1.5 units downwards.
Therefore, the new translated function g(x) will be represented by
g(x) = ∛x - 1.5
This graph can create a confusion of being shifted on x-axis but when we plug in the values of x in the options A and B, parent graph gets changed.
Therefore, option D. is the answer.
Two hundred people attended the history museum exhibit on Monday. Twenty-five of the people who attended the exhibit were surveyed at random. Twelve of the surveyed people answered "yes" to the question.
How many of the total number of people who attended the history museum would you expect to answer "yes"?
12
24
48
96
Answer:
96
Step-by-step explanation:
Total number of people attending the history museum is 200
Surveyed people are 25
Out of the 25, 12 people said yes
Therefore; the fraction which said yes = 12/25
To find the total number of people expected to say yes out of those that attended the history museum;
Fraction of the sampled that said yes × total number of people that attended.
= 12/25 × 200
= 96
Julie has the three segments shown in the graph. Can she make a triangle with these segments.
A) Yes, the segments meet the triangle inequality theorem.
B) No, the segments do not meet the triangle inequality theorem.
C) No, the segments do not meet the pythagorean theorem.
D) There is not enough information to tell.
Answer:
D
Step-by-step explanation:
Answer:
ppl the answers A
Step-by-step explanation:
According to the triangle inequality if a, b, and c are lengths of the legs of a triangle then a + b > c. If you measure the segments, their measurements are 5, 5, and
10
and 5 + 5 >
10
. Therefore, Yes, the segments do meet the triangle inequality.
An egg is dropped from a height of 90 ft. If acceleration die to gravity is -16ft/s^2 and initial velocity is 0ft/s, approximately how long will it take for the egg to reach the ground?
t = time
Multiply the acceleration by time and add to the height:
The equation becomes H(t) = -16 * t^2 + 90
set h(t) to 0
0 = -16*t^ +90
Subtract 90 from both sides:
-90 = -16*t^2
divide both sides by -16:
t^2 = -90 / -16
t^2 = 5.625
t = √5.625
t = 2.37 seconds, round to 2.4 seconds.
Answer: b
Step-by-step explanation: edge
I WILL AWARD BRAINLIEST!!! PLEASE HELP!!!
Find the areas of the trapezoids.
the area of the trapezoid is 9
Answer:
A = 7.5 unit^2
Step-by-step explanation:
The area of a trapezoid is found by
A =1/2 (b1+b2) *h
b1 = 1 unit
b2 = 4 units
h = 3 units
I found these by counting on the graph
A = 1/2(1+4) *3
A = 1/2(5)3
A = 7.5 unit^2
What is an expression that is equivalent to 5( y + 2)
Answer:
5y + 10
Step-by-step explanation:
simply open the brackets by multiplying everything by 5;
5(y+2) = 5y + 10
5y + 10 is the expression that is equivalent to 5( y + 2)
Answer:
Step-by-step explanation:
5y+10
PLZ HELP 20 POINTS
Point P (−3, −4) is reflected across the x axis.
What are the coordinates of its image after this transformation?
P' (-3,4)
P' (3,-4)
P' (-4,3)
P' (4,-3)
Answer:
P' (-3,4)
Step-by-step explanation:
Reflected across the x axis so only y changes (opposite) but x will stay the same
If Point P (−3, −4) is reflected across the x axis then P' will be (-3, 4)
Answer:
P' (-3,4)
Answer:
The answer is (3, -4)
Step-by-step explanation:
i need help with this question
Answer:
2
Step-by-step explanation:
I don't think you are asked to prove that these triangles are similar. The diagram leads you to believe that they are. The easiest way to solve this is to take 2 corresponding lines and compare them.
So how do you get from FE to BA
BA / FE = 6/3
BA = 6
FE = 3
BA / FE = 6/3
BA / FE = 2
The scale factor is 2
The following equation describes a circle.
2x^2 - 20x + 2y^2 + 8y =40
What are the center and radius of the circle?
Based on the given equation of the circle, the center of the circle is (5, -2), and the radius is 7.
How to determine the center and radius of the circle
To determine the center and radius of the circle described by the equation rewrite the equation in the standard form of a circle equation, which is
[tex](x - h)^2 + (y - k)^2 = r^2.[/tex]
First, complete the square for both the x and y terms:
[tex]2x^2 - 20x + 2y^2 + 8y = 40[/tex]
To complete the square for the x-terms, factor out a 2 from the [tex]x^2[/tex] and x terms:
[tex]2(x^2 - 10x) + 2y^2 + 8y = 40[/tex]
Now, add and subtract the square of half the coefficient of x, which is [tex](-10/2)^2[/tex] = 25:
[tex]2(x^2 - 10x + 25 - 25) + 2y^2 + 8y = 40[/tex]
Simplifying inside the parentheses:
[tex]2((x - 5)^2 - 25) + 2y^2 + 8y = 40[/tex]
Similarly, for the y-terms, add and subtract the square of half the coefficient of y, which is
[tex](8/2)^2[/tex] = 16:
[tex]2((x - 5)^2 - 25) + 2(y^2 + 4y + 4 - 4) = 40[/tex]
Simplifying inside the parentheses:
Now, let's distribute the 2 on both terms:
[tex]2(x - 5)^2 - 50 + 2(y + 2)^2 - 8 = 40\\2(x - 5)^2 + 2(y + 2)^2 - 58 = 40[/tex]
Rearrange the equation:
[tex]2(x - 5)^2 + 2(y + 2)^2 = 98[/tex]
Divide both sides by 2 to simplify:
[tex](x - 5)^2 + (y + 2)^2 = 49[/tex]
Now the equation is in the standard form of a circle equation.
Comparing it to [tex](x - h)^2 + (y - k)^2 = r^2[/tex], we can see that the center of the circle is (h, k) = (5, -2), and the radius squared is r^2 = 49.
Take the square root of both sides
r = 7.
Therefore, the center of the circle is (5, -2), and the radius is 7.