Answer:
2969 cm³
Step-by-step explanation:
Volume of cylinder is
V=πr²h
=π*7.5²*16.8
=2968.8
=2969 cm³
Use the diagram below. What is the value of z?
(Picture included) it would mean sm if anyone could help
[tex]z = 29°[/tex]
Step-by-step explanation:
According to the triangle angle sum theorem, the sum of the interior angles of a triangle is 180°. So for [tex]\triangle{ABD},[/tex] the sum of its interior angles is
[tex]43 + 59 + x = 180[/tex]
[tex]\Rightarrow x = 78°[/tex]
But [tex]\angle{x}[/tex] is supplementary with [tex]\angle{y}[/tex] so that
[tex]x + y = 180 \Rightarrow y = 180 - 78 = 102°[/tex]
Now that we know the value of y, we apply the triangle angle sum theorem to [tex]\triangle{BDC}[/tex] and we get
[tex]49 + y + z = 180 \Rightarrow 49 + 102 + z = 180[/tex]
Solving for z, we finally get
[tex]z = 29°[/tex]
Select two answers from below. x=_ and then which theorem justifies your answer.
(2x + 2)
(3x -63)
m
a
x=63
x=64
Ob
c
roob.
X=65
X=66
Alternate Interior Angles
Alternate Exterior Angles
Corresponding Angles
Same Side Interior Angles
f
Answer:
c. x=65
f. Alternate Exterior Angles
Step-by-step explanation:
2x+2=3x-63
2x=3x-65
-x=-65
x=65
They would be Alternate Exterior Angles because, they are 1, both on the outside of the parallel lines, and they are on different sides of the intersecting line, making them alternate. So, Alternate Exterior Angles
A small pizza at Little Italy pizzeria costs $9.50, and each topping is an additional $0.50. So the cost of ordering a pizza can be determined by the equation y=0.50x+9.50, where y represents the cost of the pizza and x represents the number of toppings.
Step 2 of 2 : Use the graph to estimate to the nearest quarter of a dollar ($0.25) the cost of a small pizza with 8 toppings.
Answer:
$13.50 for 8 toppings
Step-by-step explanation:
why is upendrakishore roy chouwdhury remembered
Answer:
Upendrakishore Roy Chowdhury; 12 May 1863 – 20 December 1915) was a Bengali writer and painter. He was the first person who introduced the colour printing in bangal. He started the first color children's magazine Sandesh in 1913.
Step-by-step explanation:
history ig
Find the difference:
x+
x-1
-
- 8
x-1
O
9
x-1
2-7
X1
-7
1
2x+9
1
DONE
Answer: [tex]\frac{9}{x-1}[/tex]
Step-by-step explanation:
Since the denominators are the same, we can subtract the numerators.
[tex]\frac{x+1}{x-1}-\frac{x-8}{x-1}=\frac{(x+1)-(x-8)}{x-1}=\boxed{\frac{9}{x-1}}[/tex]
write an equation with the two given points (7, -2) (-1, 0)
Answer:
haha.A. Write True if the statement is correct and False if it is not true. 1. In active voice, the subject of the sentence is doing the action, 2. In passive voice, the action is done on/upon the subject. 3. The doer of the action is followed by the verb in active voice. 4. The doer of the action is preceded by the verb in active voice, 5. The receiver of the action in active voice is preceded by the verb. 6. The receiver of the action in passive voice is followed by the verb. 7. In passive voice, meaning is clearer and more direct. 8. In active voice, meaning can be confusing and indirect, 9. The tone is authoritative and subjective in active voice, 10. The tone is neutral or objective in passive voice.
Teddy has 23 boxes of juice packed and plans to pack 3 additional boxes each hour. Charley has 7 boxes packed and plans to pack 5 additional boxes each hour. The equation below represents when Teddy and Charley will have packed the same number of boxes, based on x number of hours.
23 + 3x = 5x +7
After how many hours will Charley have packed the same number of boxes of juice as teddy?
Answer:
8 hours
Step-by-step explanation:
23 + 3x = 5x + 7
- 3x -3x
23 = 2x + 7
-7 - 7
16 = 2x
16/2 = 2x/2
x = 8
Answer:
BillyBob got it right, well explained..
Step-by-step explanation:
The function f(t) = t2 + 4t - 14 represents a parabola.
Part A: Rewrite the function in vertex form by completing the square. Show your
work.
Part B: Determine the vertex and indicate whether it is a maximum or a minimum on
the graph. How do you know?
Part C: Determine the axis of symmetry for f(t).
Answer:
a: [tex]f(t)=(t+2)^2-18[/tex]
b: vertex: (-2, -18)
minimum
c: x = -2
Step-by-step explanation:
Completing the square is difficult to explain in words. but I'll try my best. Let me know if you need any more information.
Part A ===============
Start with the given function in this form:
[tex]f(x)=ax^2+bx+c\\t^2+4t-14[/tex]
We need an additional number, d, and we'll calculate it like this:
[tex]d=(\frac{b}{2a})^2 \\\\d=(\frac{4}{2(1)} )^2\\d=2^2\\d=4[/tex]
d needs to be added and subtracted at the same time. That way we do not change the value of the expression:
[tex]ax^2+bx+d-d+c\\\\t^2+4t+4-4-14[/tex]
And you can separate them like this to make it easier to read:
[tex](t^2+4t+4) + (-4-14)\\(t^2+4t+4)-18[/tex]
Finally, we need to factor the trinomial in the parenthesis. Because we've completed the square, it's now a perfect square trinomial. The factored form is just:
[tex](x+e)^2[/tex]
where e is half of b, or the square root of c. That looks like this in our case, and you can also expand it to make sure.
[tex](t+2)^2\\\\(t+2)(t+2)\\t^2+2t+2t+4\\t^2+4t+4[/tex]
Put that all together and you get the answer:
[tex]f(t)=(t+2)^2-18[/tex]
Part B ===============
Vertex form is this:
[tex]f(x)=a(x-h)^2+k[/tex]
where (h, k) is the vertex and a is the scale factor.
In part A, we converted the given function into vertex form. Looking at that, you can see the vertex is at (-2, -18), and the scale factor is 1. When the scale factor is positive, the parabola faces upwards. When it's negative, the parabola faces downwards.
The scale factor is a positive 1 in this case, and if you picture that in your mind, the vertex is at the very lowest point, or the minimum, of the parabola.
Part C ==============
The axis of symmetry is always on the vertex, and that is because the vertex is the exact point where the parabola changes direction from positive to negative, or negative to positive.
The vertex of this parabola is (-2, -18), so the axis of symmetry is at x = -2.
Sorry if that got too long and hard to follow, I can clarify any part of it if needed.
Write the prime factorization of 185.
Answer:
5 ⋅ 37
Step-by-step explanation:
185 has factors of 5 and 37.
Answer:
Step-by-step explanation:
All Factors of 185: 1, 5, 37 and 185.
Negative Factors of 185: -1, -5, -37 and -185.
Prime Factors of 185: 5, 37.
Prime Factorization of 185: 5^1× 37^1
Sum of Factors of 185: 228.
What is the distance between the two points (-7, -7) and (4, -3)?
a. 5
C. 10.44
b. 7
d. 11.7
Please select the best answer from the choices provided
7+q+4=4+7+q
What property?
Answer:
Commutative Property of Addition
Step-by-step explanation:
This is because the commutative property of addition and multiplication is
[tex]a+b=b+a\\a*b=b*a[/tex]
and as an example
[tex]5+9=14 \\9+5=14\\10*6=60\\6*10=60[/tex]
Find the equation of the line with slope m = 2 that contains the point (8,19).
Answer:
y = 2x + 1
Step-by-step explanation:
Pls mark as brainliest
The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
The equation of the line with slope m = 2 and point (8, 19) is
y = 2x + 3
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
Slope:
m = 2
Point = (8, 19) = (x, y) _____(A)
Now,
The equation of a line is given as,
y = mx + c ______(B)
Substitute (A) into (B)
From (A) we get,
19 = 2 x 8 + c
19 = 16 + c
c = 19 - 16
c = 3
Now,
The equation of the line with slope m = 2 and point (8, 19) is
y = 2x + 3
Thus,
The equation of the line with slope m = 2 and point (8, 19) is
y = 2x + 3
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The length of a rectangle is 2 in longer than its width.
If the perimeter of the rectangle is 68 in, find its length and width.
Answer:
Length: 18
Width: 16
Step-by-step explanation:
4.
Find the value of y when x = 2.
y = 3x + 2
XON
Y
2
2
a) 2
b) 6
c) 7
d) 8
Eduardo's teacher made the table shown here His teacher asked him to identify the missing value in the table Eduardo's answer was correct Which statement describes Eduardo's answer? A Eduardo s answer as 8. He added 6-2 Eduardo s answer was 12 He subtracted 2 from 14 Eduardo's answer was 10 He multiplied the number of cats by 2 Eduardo's answer was 15. He multiplied the number of cats by 3. USATestprep, LLC 2021, All Rights Reserved. Read Our Blog Privacy Policy PHONE 1 - 877 - 377- 9537 I FA
Answer:
Your Answer is C!
Step-by-step explanation:
2x2 = 4
3x2 = 6
5x2 = 10
7x2 = 14
What equipment is generally used to make lyophilized medications suitable for administering to the patient? a) Test tubes or sterile ampules b) Petri dishes and sterile droppers c) Sterile syringes or graduated cylinders d) Measuring cups and clean, warm water
Answer:
B. Petri dishes and sterile droppers
The position of an object at any time t is given by
s(t)=3t4−40t3+126t2−9
.
1 Determine the velocity of the object at any time t.
2 Does the object ever stop changing?
3 when is the object moving to the right and when is the object moving to the left
Answer:
Step-by-step explanation:
I will ASSUME that your equation is
s(t) = 3t⁴ - 40t³ + 126t² - 9
1) velocity is the derivative of position
v(t) = s'(t) = 12t³ - 120t² + 252t
2) changing what? position? velocity? acceleration? gender? color?
position No the plot is continuous
velocity Yes both magnitude and direction. Zeros at t = 0, 3, and 7 s
acceleration Yes, both magnitude and direction. Zeros at approx. t = 1.306 and 5.361 s
gender? who knows
color? probably.
3) velocity is positive (moving to the right on a standard number line) for
0 < t < 3 and t > 7
Moves to the left for
t < 0 and 3 < t < 7
1. the velocity of the object at any time "t" is v(t) = 12t³ - 120t² + 252t.
2. the object stops changing at t = 6 and t = 3.5.
3. the object is moving to the right in the interval 0 < t < 3.5 and moving to the left in the interval t > 6.
To determine the velocity of the object at any time "t," we need to find the derivative of the position function "s(t)" with respect to "t."
1. Velocity of the object at any time "t":
The velocity is the rate of change of position with respect to time, which is given by the derivative of the position function, s(t).
s(t) = 3t⁴ - 40t³ + 126t² - 9
To find the velocity function, we take the derivative of s(t) with respect to t:
v(t) = d/dt (3t⁴ - 40t³ + 126t²- 9)
v(t) = 12t³ - 120t² + 252t
So, the velocity of the object at any time "t" is v(t) = 12t³ - 120t² + 252t.
2. Does the object ever stop changing?
The object stops changing when its velocity becomes zero. To find when the velocity is zero, we need to solve the equation v(t) = 0.
12t³ - 120t² + 252t = 0
Now, we can factor out common terms:
t(12t² - 120t + 252) = 0
Now, set each factor equal to zero and solve for "t":
1st factor: t = 0
2nd factor: 12t² - 120t + 252 = 0
To solve the quadratic equation, we can either factor it further or use the quadratic formula. Factoring the quadratic equation gives us:
(t - 6)(12t - 42) = 0
Setting each factor to zero:
1. t - 6 = 0
t = 6
2. 12t - 42 = 0
12t = 42
t = 3.5
So, the object stops changing at t = 6 and t = 3.5.
3. When is the object moving to the right and when is the object moving to the left?
The object is moving to the right when its velocity (v(t)) is positive, and it is moving to the left when its velocity (v(t)) is negative.
Let's analyze the velocity function
v(t) = 12t³ - 120t² + 252t
To find the intervals where the object is moving to the right or left, we need to determine when v(t) is positive or negative.
1. Find critical points by setting v(t) = 0 and solving for "t":
12t³ - 120t² + 252t = 0
As we already found earlier, the critical points are t = 6 and t = 3.5.
2. Test each interval created by these critical points using test points to determine the sign of v(t) in those intervals.
Pick a value of "t" in each of these intervals:
- When t < 3.5 (e.g., t = 0),
- When 3.5 < t < 6 (e.g., t = 4),
- When t > 6 (e.g., t = 7).
Now, substitute these test values into the velocity function v(t):
- v(0) = 12(0)³ - 120(0)² + 252(0) = 0
- v(4) = 12(4)³ - 120(4)² + 252(4) = 192
- v(7) = 12(7)³ - 120(7)² + 252(7) = -588
Based on the test points, we can conclude:
- The object is moving to the right when 0 < t < 3.5 (positive velocity).
- The object is moving to the left when t > 6 (negative velocity).
Therefore, the object is moving to the right in the interval 0 < t < 3.5 and moving to the left in the interval t > 6.
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pls help its an image scroll down
Answer:
D. y = 3x + 9
Step-by-step explanation:
Use the point-slope formula to find the equation in slope-intercept form.
[tex]y-y_1=m(x-x_1)\\\\y-33=3(x-8)\\\\y-33=3x-24\\\\y=3x+9[/tex]
Will give brainliest!
We know that a + b + c = 7 and [tex]\frac{1}{a+b} + \frac{1}{b+c} +\frac{1}{a+c} =\frac{7}{10}[/tex]. What is the value of [tex]\frac{10a}{b+c} +\frac{10b}{a+c} +\frac{10c}{a+b}[/tex]?
Answer:
19
Step-by-step explanation:
Note that
[tex]\dfrac{10a}{b+c} + \dfrac{10b}{a+c} + \dfrac{10c}{a+b} = 10\left(\dfrac{a}{b+c} + \dfrac{b}{a+c} + \dfrac{c}{a+b} \right)[/tex]
and
[tex]\dfrac{7-b-c}{b+c}+\dfrac{7-a-c}{a+c}+\dfrac{7-a-b}{a+b}=\dfrac{a}{b+c} + \dfrac{b}{a+c} + \dfrac{c}{a+b}[/tex]
from [tex]a+b+c=7 \implies a=7-bc; b = 7-a-c; c = 7-a-b[/tex]
and
[tex]\dfrac{7-b-c}{b+c}+\dfrac{7-a-c}{a+c}+\dfrac{7-a-b}{a+b} = 7\left(\dfrac{1}{a+b}+\dfrac{1}{b+c}+\dfrac{1}{a+c}\right)-3[/tex]
because it is not difficult to note that
[tex]$\sum \dfrac a{b+c}=\dfrac a{b+c}+\dfrac b{c+a}+\dfrac c{a+b}$[/tex]
Therefore,
[tex]7\left(\dfrac{7}{10}\right)-3 = \dfrac{49}{10}-3 =\boxed{ \dfrac{19}{10}} = \dfrac{a}{b+c} + \dfrac{b}{a+c} + \dfrac{c}{a+b}[/tex]
Finally,
[tex]10\left(\dfrac{a}{b+c} + \dfrac{b}{a+c} + \dfrac{c}{a+b} \right) = 10 \cdot \dfrac{19}{10} = 19[/tex]
What is the slope of the line y = -4?
PLEASE HELP WITH THIS QUESTION
Answer:
which question can I help you
Mr. Walthour is building a storage in a conical shape. The base of the shed is 4 meters in diameter and the height of the shed is 3.8 meters. What is the volume of the shed? Round to the nearest tenth.
helpp pls
4 pairs of shoes cost $80. What is the cost of 7 pairs of shoes ?
A
$130
B
$150
C
$145
D
$140
Answer:
D. 140
Step-by-step explanation:
4 / 80 = 20
20 * 7 = 140
therefore, 140 is the answer
Answer:
140
Step-by-step explanation:
Graph the solution of the inequality 3x+7>13
[tex]3x+7 > 13\implies 3x>6\implies x > \cfrac{6}{3}\implies x > 2[/tex]
Check the picture below, notice the line at x = 2 is dashed, or namely it doesn't include that value, because "x greater than 2" means 2.1, 2.2, 2.0001, 2.0000001 anything above but never 2.
A rectangular tank is 54cm long, 29cm wide and 65cm deep.
Answer:
so what do i do
Step-by-step explanation:????????????
There are 163 girls and 157 boys in school. 27 girls and 33 boys play soccer after school. What percentage of students play soccer after school?
Answer: The answer is to this math question is 18.75% of the students play the soccer after school.
Step-by-step explanation: Here are the following steps in order to convert the given fraction to percentage of the students play the soccer after school:
Step 1. First I add the total of the students in school and then added the total of the students play the soccer after school that looks like this: [tex]163+157=320[/tex] and [tex]27+33=60.[/tex]
Step 2. Using the online fraction to percentage calculator, first I find The Greatest Common Factor of 60 and 320 that looks like this: GCF(60,320) = 20.
Step 3. I can reduce this fraction by dividing both the numerator and denominator by 20 that looks like this: 60÷20/320÷20=[tex]\frac{3}{16}.[/tex]
Step 4. I know that [tex]\frac{3}{16}[/tex] is the same as 3÷16, then using The Long Division for 3 divided by 16 that gives us: 0.1875.
Step 5. I multiply the given decimal number by 100% in order to convert the fraction to percentage of the total students play the soccer after school that looks like this: 0.1875×100=18.75%.
I hope that my given answer with my given step-by-step explanation is very helpful to your own math question about how to find the percentage of the total students play the soccer after school, please mark me as brainliest and have a great P.A. Day and weekend! :D
Sincerely,
Jason Ta,
The ambitious of Brainly and the role of The TDSB and WHCI Student of the high school.
A snowy owl weighs 64 ounces.
16 ounces (oz) = 1 pound (lb)
How many pounds does the owl weigh?
Answer:
4 pounds
Step-by-step explanation:
Add 16 64 divided
The snowy owl weighs is 4 pounds.
What is Ratio?A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
We have been given that A snowy owl weighs 64 ounces.
16 ounces (oz) = 1 pound (lb)
We have to determine the number of pounds the owl weighs.
Let x pounds would be the owl weighs
We can write this as a ratio as
16 ounces (oz) : 1 pound (lb) = 64 ounces : x pounds
⇒ 16/1 = 64/x
⇒ (16)(x) = 64
Divide each side by 16
⇒ x =64/16
⇒ x = 4
Therefore, the snowy owl weighs is 4 pounds.
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if there is a 1 4 chance that it will rain for your fourth of july brbeque what is the probability it wont rain
Answer:
86% chance
Step-by-step explanation:
there is an 86% chance it won't rain because 100%-14%=86%
The axis of symmetry of a parabola is the line x = 6. What is the x-coordinate of the vertex of the parabola?
Answer:
x-coordinate of the vertex: h = 6.
Step-by-step explanation:
The axis of symmetry is an imaginary line that divides the graph of a parabola into two congruent parts. The vertex of a parabola, (h, k) is the point where the graph intersects the axis of symmetry.
In the standard form of quadratic equation, y = ax² + bx + c:
[tex]\large \sf{axis\:of\:symmetry:\:x\:=\:\frac{-b}{2a}}[/tex]
In the vertex form of quadratic function, y = a(x - h)²+ k:
[tex]\large \sf{axis\:of\:symmetry:\:h\:=\:\frac{-b}{2a}}[/tex]
Hence, the axis of symmetry is the point where x = h.
Given these definitions, we can infer that the x-coordinate of the axis of symmetry is the same as the x-coordinate of the vertex, where h = 6.
Explain why the order in an ordered pair is important
Step-by-step explanation:
An ordered pair is the x-coordinate and the y-coordinate of a point. The order is important because, without a set order, there would be no way to know which was the x and which was the y.
The x-coordinate always comes first, before the y-coordinate.
(x, y)
Step-by-step explanation:
The order in an ordered pair is important because it indicates the location of the given point in a coordinate plane.
In an ordered pair, (x, y):
The first number, (x ) represents the first coordinate. It provides the location of the point relative to the horizontal axis of the coordinate plane.The second number, (y ) represents the second coordinate. It provides the location of the point relative to the vertical axis of the coordinate plane.We cannot switch the values of the first and second coordinates; otherwise, the ordered pair will provide a different location on the coordinate plane.
For instance, if we're given the point, (3, 2), this means that x = 3, and y = 2. This is not the same as (2, 3), as the coordinates imply that x = 2, and y = 3.
Please see the attached screenshot where it shows how these two points have varying locations.