Answer:
the required answer of this question is 1/10
WILL MARK BRAINLIEST
Answer:
66 cm
Step-by-step explanation:
Let's define the circumference first.
It is the boundary of any curved geometric figure specially circle.
We are given the diameter of the circle in the diagram
The diameter is:
d = 21 cm
to find the circumference, we have to find the radius of the circle first.
As radius is half of diameter
d = r/2
= 21/2
= 10.5 cm
The formula for circumference is:
[tex]C = 2\pi r\\Putting\ the\ values\\C = 2 * \frac{22}{7}*10.5\\ C = \frac{462}{7}\\ C= 66\ cm[/tex]
The circumference is 66 cm ..
Answer:
The circumference of the circle is 66 cm
Complete the missing parts of the paragraph proof.
Sanjay solved the equation below. Which property did he use to determine that 7x+42=42 is equivalent to
7(x+6)=42
7x+42=42
7x=0
x=0
Step-by-step explanation:
7(x + 6) = 42
distributive property: a(b + c) = ab + ac
(7)(x) + (7)(6) = 42
7x + 42 = 42
subtraction property of equality (subtract 42 from both sides)
7x + 42 - 42 = 42 - 42
7x = 0
division property of equality (divide both sides by 7)
7x : 7 = 0 : 7
x = 0
Answer:
1. Distributive property: a(b + c) = a.b + a.c
2. Property of subtraction of equality
3. Property of division of equality
Step-by-step explanation:
The given equation is 7x + 42 = 42
7(x+6)=42 [Distributive property: a(b + c) = a.b + a.c]
7x+42=42 [Property of subtraction of equality]
Subtract 42 from both sides.
7x + 42 - 42 = 42 - 42
7x=0
Property of division of equality
Divide both sides by 7.
x=0
A diagonal of a parallelogram is 10 inches long and makes angles of 25° and 43° with the sides. How long is the longest side? PLEASE ANSWER FAST! NEED HELP ASAP
Answer:
16 inches
Step-by-step explanation:
We are given that the diagonal of a parallelogram is 10 inches long and makes angles of 25° and 43° with the sides.
So the angles of the parallelogram are:
α = 25° + 43° = 68°
β = 180° - 68° = 112°
Using the sine law assuming x to be the longest side of the parallelogram:
[tex]\frac{x}{sin43} =\frac{10}{sin 25}[/tex]
[tex] x = 1 6 . 1 4 [/tex]
Therefore, the longest side is 16 inches.
Which triangle is a 30° -60° -90° triangle?
Answer:
Acute isosceles triangle
Step-by-step explanation:
because an acute angle is more than 45 but less then 90.
that's all i know sorry!
Solve the equation 3x^2+24x=0 for x
Answer:
{0,-8}
Step-by-step explanation:
Factor!
3x(x+8)=0
3x=0 or x+8=0
x=0 or x=-8
Answer:
x=0 x =-8
Step-by-step explanation:
3x^2+24x=0
Factour out a 3x
3x(x+8) =0
Using the zero product property
3x =0 x+8 =0
x=0 x+8-8 =0-8
x=0 x =-8
A teacher calculates the class average on an exam for each of his four classes and finds that the means are equal. Which statement below would lead you to believe that this teacher was most pleased with the exam scores in his period 1 class?
The scores for period 1 had the lowest median.
The scores for period 1 had the highest median.
The scores for period 1 had the lowest standard deviation.
The scores for period 1 had the lowest IQR.
Answer:
The scores for period 1 had the highest median.
Step-by-step explanation:
The median is the middle score.
Thus if the class had the highest median, it would mean that more scores are higher, that there are more high scores, than the other classes.
A movie rental kiosk has the following options to select from.
Genre: action, romance, comedy, horror, drama
Duration: less than 90 minutes, 90 minutes120 minutes, more than 120 minutes
If employees restock the kiosk by randomly adding movies into it, what is the probability that the next movie added is an action movie that is longer than 120 minutes?
Answer:
1/20
Step-by-step explanation:
To calculate how many potential combinations of genre and duration, we multiply the number of options in each category.
5 genres * 4 durations = 20 combinations
So for each film placed, there is a 1 in 20 chance that it will be a specific combination.
The probability that the next movie added is an action movie that is longer than 120 minutes is 1/20.
To calculate the probability that the next movie added is an action movie that is longer than 120 minutes, we need to make some assumptions, as the exact numbers of each category are not provided.
If we assume that movies are equally distributed among the different genres and durations, and there are 5 genres and 3 durations, we can conduct a probability calculation.
To calculate the probability that the next movie is an action movie longer than 120 minutes:
Calculate the probability of choosing an action movie, with 5 genres,
the probability is 1/5.
Calculate the probability of the movie being longer than 120 minutes, with 4 durations,
the probability is 1/4.
Multiply these two probabilities to get the combined probability
1/5 × 1/4 = 1/20 or 5%
Find the x-intercepts of the parabola with
vertex (4,75) and y-intercept (0,27).
Write your answer in this form: (X1,Y1), (X2,72).
If necessary, round to the nearest hundredth.
Answer:
(- 1, 0), (9, 0)
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
here (h, k) = (4, 75), so
y = a(x - 4)² + 75
To find a substitute (0, 27) into the equation
27 = a(- 4)² + 75 , that is
27 = 16a + 75 ( subtract 75 from both sides )
16a = - 48 ( divide both sides by 16 )
a = - 3, thus
y = - 3(x - 4)² + 75 ← equation in vertex form
To obtain the x- intercepts let y = 0
- 3(x - 4)² + 75 = 0 ( subtract 75 from both sides )
- 3(x - 4)² = - 75 ( divide both sides by - 3 )
(x - 4)² = 25 ( take the square root of both sides )
x - 4 = ± [tex]\sqrt{25}[/tex] = ± 5
Add 4 to both sides
x = 4 ± 5, hence
x = 4 - 5 = - 1 or x = 4 + 5 = 9
Substitute these values into the equation for corresponding values of y
x = - 1 : y = - 3(- 5)² + 75 = - 75 + 75 = 0 → (- 1, 0)
x = 9 : y = - 3(5)² + 75 = = 75 + 75 = 0 → (9, 0)
The x- intercepts are (- 1, 0), (9, 0)
Answer:
The x intercepts are (-1, 0) and (9, 0).
Step-by-step explanation:
We can write the equation in vertex form:
y = a(x - b)^2 + c
Here b = 4 and c = 75 so we have
y = a(x - 4)^2 + 75 where a is a constant to be found.
The y-intercept is (0,27) so
27 = a(0 - 4)^2 + 75
16a = 27 - 75
a = -48/16 = -3
So to find the x-intercepts we solve the equation:
-3(x - 4)^2 + 75 = 0
(x - 4)^2 = -75 / -3 = 25
x - 4 = +/- √25
x = 5+ 4 = 9 , -5 + 4 = -1.
Use the function below to find F(5).
F(x) = 2^x
f(x) = 2^x
f(5) = 2^5
f(5) = 32
A life insurance policy costs $13.58 for every $1,000 of insurance. At this rate, what is the cost of $80,000 of insurance?
Answer:
80 times 13.58 =1086400
Step-by-step explanation:
35 points?with explanation
Answer:
m∠7 = 142°
Step-by-step explanation:
Note that a straight line's degree measurement = 180°
Note that the angle directly next to (to the left of) m∠7 has a measurement of 38°. Subtract 38 from 180:
180 - 38 = 142
m∠7 = 142°
~
Answer:
m∠7 = 142°
straight line's degree measurement = 180°
Then get the adjacent angle of 38. Subtract 38 from 180:
180 - 38 = 142
m∠7 = 142°
Hope this helped
Directions: Select ALL the correct answers.
Three football players from the Mustang junior football team each spent 20 minutes loading boxes of
food onto a truck for a local charity. The number of boxes, b, that each player loaded onto the truck is
proportional to the number of minutes. m. spent loading boxes.
- Alonzo loaded 14 boxes.
Bennett loaded one fourth as many boxes as Cory.
• Cory loaded twice as many boxes as Alonzo.
Select all of the true statements.
The equation that represents the number of boxes Alonzo loaded is
b= 0.71m.
The equation that represents the number of boxes Cory loaded is
b = 2m.
The proportional relationship b = " can be used to determine the
rate. r. at which the players loaded the boxes.
on that represents the number of boxes Bennett loaded is
b= 0.35m.
For each player. the proportional relationship b = mm can be used to
determine the rate. r. at which each player loaded the boxes.
Based on the rates of loading boxes onto the truck. Alonzo and
Bennett loaded boxes at the same rate.
The equations representating the number of boxes Alonzo, Cory, and Bennett loaded are b = 0.7m, b = 1.4m, and b = 0.35m respectively. This is calculated based on the fact that Alonzo loaded 14 boxes in 20 minutes, and Cory and Bennett loaded twice and a quarter as much as Alonzo respectively.
Explanation:On the basis given, Alonzo loaded 14 boxes in 20 minutes. So, the number of boxes loaded per minute, m , can be calculated as b = 14 boxes ÷ 20 minutes = 0.7 m.
Cory loaded twice as many boxes as Alonzo, so his equation is b = 2 * 0.7m = 1.4m.
Bennett loaded one fourth as many boxes as Cory, which means Bennett's equation can be determined as b = 1/4 * 1.4m = 0.35m.
Based on this, the true statements are:
The equation that represents the number of boxes Alonzo loaded is b = 0.7m.The equation that represents the number of boxes Cory loaded is b = 1.4m. The equation that represents the number of boxes Bennett loaded is b = 0.35m.
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The number of boxes loaded by each player can be represented by different equations. Alonzo and Bennett loaded boxes at the same rate.
Explanation:
The proportional relationship between the number of boxes, b, that each player loaded onto the truck and the number of minutes, m, spent loading boxes can be represented by the equations:
Alonzo: b = 0.71m
Bennett: b = 0.25c (where c is the number of boxes Cory loaded)
Cory: b = 2a (where a is the number of boxes Alonzo loaded)
Based on the given rates, Alonzo and Bennett loaded boxes at the same rate.
Mr hassan opened an account with Rs 45,687. He deposits Rs 5800 in the first month and withdraws Rs6981 in the second month .How much money is left in his account ? If he withdraws Rs 250 again ,how much is left now?
Answer:
44506
Step-by-step explanation:
458687+5800=51487
51487-6981=44506
On May 17th Jane took out a loan for $33,000 at 6% to open her law practice office the loan will mature the following year on January 16th using the ordinary interest method what is the maturity value do on January 16th
Answer:
$ 31050
Step-by-step explanation:
Step 1 : Write the formula for calculating simple interest.
Simple Interest = P x R x T
100
P: Principal Amount-The loan taken (30,000)
R: Interest rate at which the loan is give (6)
T: Time period of the loan in years-there are 12 months in 1 year. There are 7 months from May till June (7/12)
Step 2: Substitute values in the formula
Simple Interest = 30,000 x 6 x 7/12
100
Simple Interest = $1050
Step 3: Calculate the amount due at maturity
At the maturity or the end of the time period given, the original or principal amount of the loan has to be repaid along with the simple interest.
Amount at maturity = Principal Amount + Simple Interet
Amount at maturity = 30,000 + 1050
Amount at maturity = $31050
!!
-5=6m-1 solve for m
Answer:
m= -2/3 or -0.6
Step-by-step explanation:
6m-1= -5+1
6m= -4/-6
m= - 2/3 or -0.6
Answer:
m = -2/3
Step-by-step explanation:
-5 = 6m-1
Rewrite
6m - 1 = -5
Add 1 to both sides
6m = -4
Divide both sides by 6
m = -4/6
Simplifying
m = -2/3
Use the graph of f(x) to evaluate the following:
The average rate of change of f from x= 0 to x=4 is _______.
Give your answer as an integer or reduced fraction.
Answer:
[tex]\large\boxed{-\dfrac{5}{4}}[/tex]
Step-by-step explanation:
[tex]\text{The average rate of change of function}\ f(x)\\\text{over the interval}\ a\leq x\leq b\ \text{is given by this expression:}\\\dfrac{f(b)-f(a)}{b-a}.\\\\\text{Read from graph the values of function for}\ x=0\ \text{and}\ x=4.\\(look\ at\ the\ picture)\\\\f(0)=5,\ f(4)=0\\\\\text{Substitute:}\\\\\dfrac{f(4)-f(0)}{4-0}=\dfrac{0-5}{4}=-\dfrac{5}{4}[/tex]
To find the average rate of change of the function from x = 0 to x = 4, subtract the y-coordinate at x = 0 from the y-coordinate at x = 4, then divide by 4. The exact answer depends on the specific values provided by the graph of the function.
Explanation:The average rate of change of a function f(x) on the interval [a, b] is given by the formula: (f(b) - f(a)) / (b - a). For the given problem, we are asked to find the average rate of change from x = 0 to x = 4. However, the specific values of f(0) and f(4) on the graph are not provided. Generally, to find the average rate of change in this case, you will need to subtract the y-coordinate at x = 0 (f(0)) from the y-coordinate at x = 4 (f(4)), then divide by the difference in x-values (4 - 0). Without the exact values from the graph, a specific numerical answer can't be provided.
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In the diagram, AB = 10 and AC = 2V10. What is the
perimeter of AABC?
10 units
10 + 2/10 units
20 units
20+ 2/10 units
For this case we have that by definition, the distance between two points is given by:
[tex]d = \sqrt {(y2-y1) ^ 2 + (x2-x1) ^ 2}[/tex]
We find the distance AB:
[tex]A: (3,4)\\B: (- 5, -2)[/tex]
[tex]AB = \sqrt {(x2-x1) ^ 2 + (y2-y1) ^ 2}\\AB = \sqrt {(- 5-3) ^ 2 + (- 2-4) ^ 2}\\AB = \sqrt {(- 8) ^ 2 + (- 6) ^ 2}\\AB = \sqrt {64 + 36}\\AB = \sqrt {100}\\AB = 10[/tex]
We have the BC distance:
[tex]B: (- 5, -2)\\C: (5, -2)[/tex]
[tex]BC = \sqrt {(5 - (- 5)) ^ 2 + (- 2 - (- 2)) ^ 2}\\BC = \sqrt {(5 + 5) ^ 2 + (- 2 + 2) ^ 2}\\BC = \sqrt {(10) ^ 2 + (0) ^ 2}\\BC = \sqrt {100}\\BC = 10[/tex]
We find the CA distance:
[tex]C: (5, -2)\\A: (3,4)[/tex]
[tex]CA = \sqrt {(3-5) ^ 2 + (4 - (- 2)) ^ 2}CA = \sqrt {(- 2) ^ 2 + (4 + 2) ^ 2}\\CA = \sqrt {4 + 36}\\CA = \sqrt {40}\\CA = \sqrt {4 * 10}\\CA = 2 \sqrt {10}[/tex]
Thus, the perimeter is given by:
[tex]10 + 10 + 2 \sqrt {10} = 20 + 2 \sqrt {10}[/tex]
ANswer:
[tex]20 + 2 \sqrt {10}[/tex]
Rectangle ABCD has vertex coordinates A(1, -2), B(4, -2), C(4,-4), and D(1,
-4). It is translated 1 unit to the left and 3 units up. What are the coordinates
of B?
Answer:
C
Step-by-step explanation:
first you subtract 1 from 4 to get 3 and then you add 3 to -2 to get 1 so the coordinates are (3, 1)
The coordinate of B' is,
B' = (3, 1)
What is Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
We have to given that;'
Rectangle ABCD has vertex coordinates A(1, -2), B(4, -2), C(4,-4), and
D(1, -4).
Since, It is translated 1 unit to the left and 3 units up.
Now, The rule for translated 1 unit to the left and 3 units up is,
(x, y) = (x - 1, y + 3)
So, The coordinate of B' is,
B' = (4 - 1, - 2 + 3)
B' = (3, 1)
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Definition:
es. This is a disadvantage or weak point that makes someone or something less effective.
Answer:
Limitation
Step-by-step explanation:
Which function has a range of y < 3?
y=3(2)x
y=2(3)x
y=-(2)x +3
y = (2)x - 3
Answer:
[tex]\large\boxed{y=-(2)^x+3}[/tex]
Step-by-step explanation:
[tex]\text{A function y = a(b)}^x\ \text{has a range:}\\\\y<0\ \text{for}\ a<0\\\\y>0\ \text{for}\ a>0\\\\f(x)+n-\text{shift a graph}\ n\ \text{units up}\\f(x)-n-\text{shift a graph}\ n\ \text{units down}\\f(x+n)-\text{shift a graph}\ n\ \text{units to the left}\\f(x-n)-\text{shift a graph}\ n\ \text{units to the right}\\\\\text{We have the range}\ y<3.\ \text{Therefore}\ a<0\ \text{and}\ n=3.[/tex]
The function with a range of y < 3 among the given options is y=-(2)x +3, because it decreases by 2 for each increase in x, starting from y=3.
Explanation:The function which has a range of y < 3 is y=-(2)x +3. This is an example of a linear function where the slope is negative and the y-intercept is 3. This means that the y-values (the range) will always be less than 3. This is because the value of y will decrease by 2 for every increase in x, starting from y=3. For the other functions, the range of y-values is not consistently less than 3.
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Circle O has a circumference of 276.32 cm.
What is the length of the radius of the circle?
cm
Answer:
43.98 cm
Step-by-step explanation:
Circumference is π x diameter
Diameter is 2 x radius
276.32/π = 87.955 (3dp)
87.955/2 = 43.978 (3dp)
43.98cm = radius
Suppose an investor builds a stock portfolio with a variety of shares in various high tech companies. The value of the stock portfolio is modeled by the function y = 2x^2 - 20x + 100, where y is the value of the portfolio in hundreds of dollars, and x is the time in months.
a) Find the x-coordinate of the vertex. Show all work leading to your answer and write the answer in simplest form.
b) Find the y-coordinate of the vertex. Show all work leading to your answer and write the answer in simplest form.
c) What does the vertex represent for this situation? Write 1 - 2 sentences to explain your answer.
Answer:
Step-by-step explanation:
We can find the vertex either by completing the square or taking advantage of the simple formula x = -b / (2a), which provides the x-coordinate of the vertex.
Here a = 2, b = -20 and c = 100. Then the x-coordinate of the vertex is at
x = -(-20) / (2*2), or x = 5.
Next, evaluate y = 2x^2 - 20x + 100 to find the y-coordinate of the vertex. It is y(5) = 2(5^2) - 20(5) + 100, or y(5) = 50 - 100 + 100, or 50. y = 50.
The vertex is at (5, 50). This states that the stock reaches its minimum value, $50 per share), after 5 months. From that time on, the stock appreciates (increases) in value.
What is the discriminant of 9х2 + 2 = 10x?
[tex]\bf 9x^2+2=10x\implies 9x^2-10x+2=0 \\\\[-0.35em] ~\dotfill\\\\ \qquad \qquad \qquad \textit{discriminant of a quadratic} \\\\\\ \stackrel{\stackrel{a}{\downarrow }}{9}x^2\stackrel{\stackrel{b}{\downarrow }}{-10}x\stackrel{\stackrel{c}{\downarrow }}{+2}=0 ~~~~~~~~ \stackrel{discriminant}{b^2-4ac}= \begin{cases} 0&\textit{one solution}\\ positive&\textit{two solutions}~~\checkmark\\ negative&\textit{no solution} \end{cases} \\\\\\ (-10)^2-4(9)(2)\implies 100-72\implies 28[/tex]
Evaluate f(x) =3 |x-2| + 1 for f(-2) and f(1)
Answer:
Step-by-step explanation:
f(-2) = 3*abs(x - 2) + 1
f(-2) = 3*abs(-2-2) + 1
f(-2) = 3* abs(-4) + 1
f(-2) = 3 * 4 + 1
f(-2) = 13
===========
f(1) = 3*abs(1 - 2) + 1
f(1) = 3*abs(-1) + 1
f(1) = 3*1 + 1
f(1) = 4
Analyze the diagram below and complete the instructions that follow
Find a, b and c
. a= 12, b= 6(square root) 3, c= 3 (square root) 6
a= 12, b=12 (square root) 2, c= 3 (square root) 6
a= 6 (square root) 3, b= 12, c= 6 (square root) 2
a= 6 (square root) 3, b= 12 (square root) 3, c= 6 (square root) 2
Answer:
9
Step-by-step explanation:
Answer:
b=12 , a=6[tex]6 \sqrt{3}[/tex] , c=6[tex]\sqrt{2}[/tex]
Step-by-step explanation:
based on the graph you are showing, you can use "SOH CAH TOA"
for right triangles, then you use "CAH" for get b:
[tex]Cos(60)=\frac{6}{b}\\b*Cos(60)=6\\b*\frac{1}{2}=6\\ b=6*2\\b=12\\\\[/tex]
you do the same for a, but in this case you use sin, not cos:
[tex]sin(60)=\frac{a}{b} \\b*sin(60)=a\\\\12*\sqrt{3}/2=a\\ 6\sqrt{3}=a\\[/tex]
and with your b value, you can get c, but now you use Cos with the 45 angle:
[tex]b*cos(45)=c\\12*\sqrt{2}/2=c\\ 6\sqrt{2}=c[/tex]
remember SOH CAH TOA means, Sin(x)=opposite/Hypotenuse, Cos(x)=adjacent/hypotenuse, and tan(x)=Opposite/adjacent.
How many inches are in 12 feet
a triangular pyramid has a triangular base with a height of 1.5 inches and base length of 4 inches, and height of 9 inches. What is the volume ?
Step-by-step explanation:
Volume of a pyramid is:
V = ⅓ AH
where A is the area of the base and H is the height of the pyramid.
The base is a triangle. Area of a triangle is:
A = ½ bh
where b is the base length and h is the height.
A = ½ (4)(1.5)
A = 3
V = ⅓ (3)(9)
V = 9
The volume is 9 in³.
The volume of the triangular pyramid with a triangular base is 9 cubic inches.
What is the volume of a triangular pyramid?The volume of the triangular pyramid with a height h and base area B is
Volume = 1/3 × B × h cubic units
What is the area of a triangle?The area of a triangle is 1/2 × b × h sq. units
where b - base and h - height the triangle.
Calculating the volume:It is given that a triangular pyramid has a triangular base with
base length b = 4 inches
height of the triangle h = 1.5 inches and
height of the pyramid = 9 inches
So, the volume of the pyramid = 1/3 × B × h
Where base area B = 1/2 × b × h
⇒ B = 1/2 × 4 × 1.5
= 3.0 sq. inches
And the volume = 1/3 × 3.0 × 9
= 9 cubic inches.
Therefore, the volume of the given triangular pyramid is 9 cubic inches.
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Volume of Model Options: +,×,÷,-
Option for Volume of Green Model In Model 2: 3, 12, 16, 60
320miles on 34 gallons in simplest form
Answer:
9 and 2/5 gallons
Step-by-step explanation:
34 x 9 gallons = 306 miles
14 / 34 = 4/10 of the gallons
4/10 simplified = 2/5
Answer: 9 2/5
Answer:
9 and 2/5 gallons
Step-by-step explanation:
320 miles on 34 gallons in simplest form is 9 and 2/5 gallons.
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