Answer:
The answer to this question is A
Answer:A:42.192
Step-by-step explanation:
line them up by the decimals and place value
39.24
+2.952
add a zero onto 39.24 to line them up correctly
39.240
+2.952
then add to get an answer of
A:42.192
A triangle has sides 12cm, 9cm and 15cm. Is the triangle right-angled? Justify your answer
Answer:
yes
Step-by-step explanation:
Yes this triangle is right angled and can be justified using the Pythagorean theorem. The theorem states that: [tex]a^{2} +b^{2} = c^{2}[/tex]. Substitute using the given values:
(9^2)+(12^2)=15^2
81 + 144 = 255
255 = 255.
It satisfies the theorem therefore it is a right angle triangle.
help please
thank you for your help
Answer:
3(7+x²)x-2
3x(7+x²)-2
21x+3x³-2
the sum of m and the difference of r and 2
Answer:
Step-by-step explanation:
Read simply, it is m + (r - 2). It is a very clear statement, so you can depend on the answer.
Just chillin' at the max 32-bit limit with two answers...
Answer:
I don't understand what the question issssss
El desplazamiento (en metros) de una partícula que se mueve
en línea recta esta dado por s = 12 – 8t + 18, donde t se
mide en segundos.
a) Encuentre la velocidad promedio en cada intervalo de
tiempo:
i) [3, 4] ii) [3.5, 4]
iii) [4, 5] iv) [4, 4.5]
b) Halle la velocidad instantánea cuando t = 4.
c) Dibuje la grafica de s como función de t y trace las rectas
secantes cuyas pendientes son las velocidades promedio
en el inciso a) y la recta tangente cuya pendiente es la
velocidad instantánea en el inciso b).
Answer:
c
Step-by-step explanation:
hize la misma pregunta que vos
The average velocities for the given time intervals are,
(i) -8 m/s,
(ii) -12 m/s,
(iii) 4 m/s, and
(iv) 4 m/s. The instantaneous velocity at t = 4 is -8 m/s. The attached graph of s as a function of t is a straight line with slope -8, showing the secant and tangent lines.
a) To find the average velocity in each time interval,
calculate the change in displacement (Δs) divided by the change in time (Δt) within each interval.
s = 12 - 8t + 18
i) [3, 4]:
Δs = s(4) - s(3) = (12 - 8(4) + 18) - (12 - 8(3) + 18) = -8
Δt = 4 - 3 = 1
Average velocity = Δs / Δt = -8 / 1 = -8 m/s
ii) [3.5, 4]:
Δs = s(4) - s(3.5) = (12 - 8(4) + 18) - (12 - 8(3.5) + 18) = -6
Δt = 4 - 3.5 = 0.5
Average velocity = Δs / Δt = -6 / 0.5 = -12 m/s
iii) [4, 5]:
Δs = s(5) - s(4) = (12 - 8(5) + 18) - (12 - 8(4) + 18) = 4
Δt = 5 - 4 = 1
Average velocity = Δs / Δt = 4 / 1 = 4 m/s
iv) [4, 4.5]:
Δs = s(4.5) - s(4) = (12 - 8(4.5) + 18) - (12 - 8(4) + 18) = 2
Δt = 4.5 - 4 = 0.5
Average velocity = Δs / Δt = 2 / 0.5 = 4 m/s
b) To find the instantaneous velocity when t = 4, we'll find the derivative of s with respect to t and then substitute t = 4.
s = 12 - 8t + 18
ds/dt = -8
Instantaneous velocity at t = 4 is equal to the derivative at t = 4:
Instantaneous velocity at t = 4: ds/dt (t=4) = -8 m/s
c) To sketch the graph of s as a function of t and draw the secant lines (average velocities) and the tangent line (instantaneous velocity):
Attached graph.
The graph of s as a function of t is a straight line with a slope of -8 and a y-intercept of 30. At t = 4, the instantaneous velocity is -8 m/s.
Secant lines:
Draw a straight line connecting the points (3, 10) and (4, 2) for the interval [3, 4].
Draw a straight line connecting the points (3.5, 4) and (4, 2) for the interval [3.5, 4].
Draw a straight line connecting the points (4, 2) and (5, 6) for the interval [4, 5].
Draw a straight line connecting the points (4, 2) and (4.5, 4) for the interval [4, 4.5].
Tangent line:
At t = 4, draw a straight line with a slope of -8 and passing through the point (4, 2).
The attached graph will show the secant lines with different slopes as the average velocities in each interval and the tangent line with a slope of -8 as the instantaneous velocity at t = 4.
learn more about average velocity here
brainly.com/question/32663715
#SPJ2
The above question is incomplete , the complete question is:
The displacement (in meters) of a moving particle
in a straight line is given by s = 12 – 8t + 18, where t is
measured in seconds.
a) Find the average velocity in each time interval:
i) [3, 4] ii) [3.5, 4]
iii) [4, 5] iv) [4, 4.5]
b) Find the instantaneous velocity when t = 4.
c) Plot s as a function of t and draw the secant lines whose slopes are the average velocity in part (a) and the tangent line whose slope is the
instantaneous velocity in part (b).
Myopia in children. Myopia, also called short-sightedness, is a common visual impairment that is reaching alarming proportions worldwide. The condition typically develops in school-age children and adolescents. It has long been thought that the condition was associated with too much reading, but recent evidence suggests instead that a lack of exposure to natural outdoor light may play a role. To investigate this new theory, researchers compared rates of myopia among randomly selected young children (6 and 7 years old) of Chinese ethnicity living in either Sydney (Australia) or Singapore. The researchers found that 4 of the 124 children in the Australian sample had myopia, compared with 183 among the 628 children from Singapore.
a. Display the findings in a two-way table. What percent of the children in the study had myopia? What is that percent among the children living in Australia and among those living in Singapore?
b. The researchers obtained information for most of the children in the study about their weekly amount of time in hours) spent reading or writing and the weekly amount of time in hours) spent on outdoor activities. Here are the summary statistics:
Time reading/writing Number of children Mean Standard deviation
Australia 109 20.8 13.9
Singapore 611 17.8 8.8
Time outdoors Number of children Mean Standard deviation
Australia 102 13.75 1.02
Singapore 586 3.05 0.12
How do the children from both countries in this study differ in how they spend their time?
c. Does the study suggest that more time spent reading or writing is associated with a greater risk of myopia among the enrolled children? Does it suggest that more time spent outdoors is associated with a greater risk of myopia? Can we draw a conclusion of causality based on this study?
d. The children enrolled in this study were all of Chinese ethnicity. What is the advantage in this study of collecting data from children with the same ethnicity compared with selecting random samples of children from each location regardless of ethnicity?
Answer:
a. A two way table is presented as follows;
[tex]\begin{array}{cccc}&Had \ Myopia&Do \ not \ have \ Myopia& Totals\\Sydney \ (Australia)&4&120&128\\Singapore&183&445&628\end{array}[/tex]
ii) The percentage of students in the study that have myopia are approximately 24.867%
iii) The percentage of children living in Australia with myopia are approximately 3.2258%
The percentage of children living in Singapore with myopia are approximately 29.14%
b. Children in Australia spend more time reading, writing and also outdoors than children in Singapore
c. The study does not suggest that more time spent reading or writing is associated with a greater risk of myopia among the enrolled children
The study does not suggests that more time spent outdoors is associated with a greater risk of myopia
d. The advantage is to reduce associated variables the generate more accurate findings or result
Step-by-step explanation:
a. A two way table is presented as follows;
[tex]\begin{array}{cccc}&Had \ Myopia&Do \ not \ have \ Myopia& Totals\\Sydney \ (Australia)&4&120&128\\Singapore&183&445&628\end{array}[/tex]
ii) The percentage of students in the study that have myopia are;
(4 + 183)/(124 + 628) × 100 ≈ 24.867%
iii) The percentage of children living in Australia with myopia is given as follows;
4/124 × 100 ≈ 3.2258%
The percentage of children living in Singapore with myopia is given as follows;
183/628 × 100 ≈ 29.14%
b. The data for the time spent reading and writing is presented as follows;
Number of children [tex]{}[/tex] Mean Standard deviation
Australia 109 [tex]{}[/tex] 20.8 13.9
Singapore [tex]{}[/tex] 611 17.8 8.8
The data for the time spent outdoors is presented as follows;
Number of children [tex]{}[/tex] Mean Standard deviation
Australia 102 [tex]{}[/tex] 13.75 1.02
Singapore [tex]{}[/tex] 586 3.05 0.12
From the data, more children in Australia spend more time reading and writing and also outdoors than children in Singapore
c. From the data, more children spend their time reading and writing in Australia and are also less likely to develop myopia than children in Singapore
Therefore, the study does not suggest that more time spent reading or writing is associated with a greater risk of myopia among the enrolled children
Similarly, the study does not suggests that more time spent outdoors is associated with a greater risk of myopia
d. The advantage of collecting data from children with the same ethnicity compared with selecting random samples of children from each location regardless of ethnicity is to reduce the variables or influential factors that may alter the impact on the test and the results
here's my face I just dyed my hair-
Answer:
that looks nice
Step-by-step explanation:
the hair looks cool
Which of the following values are in the range of the function graphed below?
Check all that apply.
10
-10
10
- 10 -
I A. -1
B. 0
C. 4
D. -4
E. 1
F. 2
Answer:
1
Step-by-step explanation:
Please fill in the answers by 4:00 !! (I'll give brainliest if u help me)
here you go! hopefully this helps :))
X2 + 8x + y2 - 2y =64
what is the answer to this 4 - 1 3/4
the answers is 9/4
simplified its 2 1/4 in mixed number form
decimal is 2.25
A private beach is 6/7 mile in length and 1/4 mile in width. What is the area of the private beach? (Don't forget to simplify)Immersive Reader
(20 Points)
I will mark you brainalist
Answer:
-3,3 this is because that is where both of the lines intersect making them both a solution for both equations.
Step-by-step explanation:
Answer:
B. (-3, 3)
Step-by-step explanation:
Point of intersection of both the lines is the solution to both the equations.
Both the lines are intersecting each other at point (-3, 3)
So, ordered pair of solution is (-3, 3)
Somebody help me asap please giving brainliest
Answer:
70!
Step-by-step explanation:
If you divide the shape in rectangles, you'll just add it up in the end.
5 x 3 = 15
5 x 3 = 15
10 x 4 = 40
40 + 15 + 15 = 70.
Hope this helps!
in the problem 12+58=70,12 and 58 are called factors true or false
Answer:
false
Step-by-step explanation:
Answer:
false they are called addend s
Can somebody help me please
Step-by-step explanation:
First, find complete data.
That would be 2, 12 and 5, 30
Divide the output by the input to get the relationship/constant.
12/2 = 6 30/5 = 6
So...
1 x 6 = 6
and
48 / 6 = 8
9514 1404 393
Answer:
(b) Output 6, Input 8
Step-by-step explanation:
One of the things you can look at is the ratio of output to input. Here, it is constant, which makes things a lot easier
output/input = 12/2 = 30/5 = 66/11 = 6
Then for input 1, output is 1×6 = 6.
For unknown input, we have ...
input × 6 = 48
input = 48/6 = 8
__
The two blanks are ...
input: 8; output 6
Consider all the points in the plane that solve the equation [tex]$x^2 + 2y^2 = 16.$[/tex] Find the maximum value of the product [tex]xy[/tex] on this graph.
(This graph is an example of an "ellipse".)
Answer:
that hard....
Step-by-step explanation:
The remaining questions refer to the following situation: Suppose a certain farmer wants to find out if the average length of the green beans in her field is 4 inches. She collects a random sample of 100 beans and get a sample mean of 3.75 inches. (Suppose she knows that the population standard deviation of bean length is 0.5.) What is the population in this situation
Answer:
The population in this situation is all green beans in her field.
Step-by-step explanation:
Informally, if you take a sample of an object, the population in all of these objects.
In this question:
Sample of 100 green beans in her field. This means that the population in this situation is all green beans in her field.
Decide whether each statement is true or false. If a statement is true, say which of Euclid’s five postulates apply to it, then write the converse and contrapositive statements, and then decide which of these statements are true (it may help to rewrite the statements in “if-then” form). If it is false, give a counterexample or explain why.
a. A triangle can be drawn from any three points that are not on the same line.
b. A square can be drawn from any four points not on the same line.
c. When two lines intersect, the four angles they make add to 360 degrees.
d. There is only one parallel line to any given line.
Answer:
A) True
B) False
C) True
D) False
Step-by-step explanation:
A. This statement is True.
From euclid's postulates, if there are three straight lines that intersect each other another, and the sum of the interior angles formed between one of the straight lines and the other two straight lines is less than 180°, then it can be said that the other two straight lines will cross each other if they are both further extended on the same side of the figure in which the sum of the angles was less than 180° as we earlier said.
The converse statement is;
If three lines are drawn and two of the lines converge, then it means the third line can be drawn in such a way that the sum of the interior angles between this third line and the other two lines would be less than 180°.
The contrapositive statement is;
If the sum of the interior angles between the first line and the other two lines equals 180°,then it means that the other two lines will not intersect each other.
B. This statement is false.
The reason is because 4 sides of a square are always equal in length. As a result,all the 4 interior angles must be equal to 90°.
c. This statement is True.
From the first answer above, we saw that if there are three straight lines that intersect each other another, the sum of the interior angles formed between one of the straight lines and the other two straight lines is less than 180°.
Therefore, on the opposite side of the intersection, the sum of the adjacent angles would be equal to 180°
Thus;
180° + 180° = 360°
The converse statements is;
If two lines meet at a point then it means that the sum of the angles at that point equals 360°
The contrapositive statements is;
If the two lines do not meet at any point, then the sum of the angles on each straight line is 180°
d. This statement is False.
The reason is because there is not only one parallel line to any given line because a parallel line can be drawn from aso many points not even on the line in question.
The diameter of a circle measures 12 cm. What is the circumference of the circle?
Answer
The circumference is 37.699
Hope this answer helped you!
⭐Please consider giving brainliest!⭐
Step-by-step explanation:
the circumference of the circle with diameter 12cm=2π(d/2)=2×π×12/2=12πcm
please help NO LINKS I WILL REPORT YOU ( i will also mark brainliest)
Answer:
6.96 is the area of this triangle! So, option A is correct.
Hope this helps and please mark brainliest!
In ΔVWX, x = 9.1 inches, w = 5.4 inches and ∠W=161°. Find all possible values of ∠X, to the nearest 10th of a degree
Answer:
NO POSSIBLE TRIANGLES
Step-by-step explanation:
Answer:
no possible triangles
Step-by-step explanation:
solving a system of linear equations algebraically:
Question:
find the value of x in the solution to the system of equations shown. y=12x+7
y=-6x+25
answer choices:
x=1
x=1.78
x=3
x=5.33
It was so easy xD
its x=1
y=12×1+7
y=-6×1+25
=19
Whoever responds first will get marked Best! No links or else I will ban you!Mary is using a triangular piece of cloth to make a scarl for her teddy bear. The base of the scarf is 18 cm and height is 12 cm. How many square
centimeters of cloth does Mary have?
Answer:
108 sq cm
Step-by-step explanation:
18x12 = 216
216/2 = 108
Which expression is not equivalent to the other three? A: 2x + 2 + 2x + 3x - 8 B: 4 + 7x - 2 C: -2 + 5x + 2x - 4 D: 8x - x - 6
Answer: B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Let's look at A.
A simplified = 7x - 6
Let's look at B
B simplified = 2 + 7x
Let's look at C
C simplified = -6 + 7x OR 7x - 6
Let's look at D, lastly.
D simplified = 7x - 6
In conclusion, we can see that 7x - 6 is the answer we need to arrive at to have equivalent expressions. Only B does not have that answer, so B is the answer.
Hope that helps!
Does anyone know ? ;-;
Answer:
[tex]y=\frac{3}{2}x+8[/tex]
Step-by-step explanation:
[tex]y=mx+b\\[/tex]
slope=m
[tex]y=-\frac{2}{3} x-1[/tex]
slope=[tex]-\frac{2}{3}[/tex]
slope=[tex]\frac{3}{2} ,(-4,2)[/tex]
[tex]y-y_{1} =m(x-1)\\\\y-_{2} =\frac{3}{2} (x-4)\\\\y-2=\frac{3}{2} x+6\\[/tex]
Add 2 to both sides
[tex]Answer:y=\frac{3}{2} x+8[/tex]
hope it helps!!
Help please someone please
Answer:
lateral area of cylinder =2×pi ×radius×height
lateral area of cylinder =2×3.14×1×2
lateral area of cylinder=12.56 unit²
The manager of a fast-food restaurant wants to be sure that, on average, customers are served within 4 minutes from the time the order is placed. He is particularly concerned about the staff working during the early morning shift. From a random sample of 41 orders, the mean time was 3.75 minutes with a standard deviation of 1.2 minutes.
(a) Is there convincing evidence at the a = 0.05 significance level that the true mean service time during the early morning shift is less than 4 minutes?
Answer:
There is not convincing evidence at the a = 0.05 significance level that the true mean service time during the early morning shift is less than 4 minutes
Step-by-step explanation:
The null hypothesis is:
[tex]H_{0} = 4[/tex]
The alternate hypothesis is:
[tex]H_{1} < 4[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
From a random sample of 41 orders, the mean time was 3.75 minutes with a standard deviation of 1.2 minutes.
This means that [tex]n = 41, \mu = 3.75, \sigma = 1.2[/tex]
The test-statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{3.75 - 4}{\frac{1.2}{\sqrt{41}}}[/tex]
[tex]z = -1.33[/tex]
[tex]z = -1.33[/tex] has a pvalue of 0.0918, looking at the z-table.
0.0918 > 0.05, which means that the null hypothesis is accepted, and that there is not convincing evidence at the a = 0.05 significance level that the true mean service time during the early morning shift is less than 4 minutes
Please help
For 20 points
Answer:
Step-by-step explanation:
Vertex: ( -2, -25)
Axis of symmetry: -2
Two forces of 90 newtons and 58 newtons act simultaneously on an object. The angle between the two forces is 57°. Find the magnitude of the resultant, to the nearest 10th of a newton.
Answer:
131.0 N
Step-by-step explanation:
Let the 90 N force is acting a horizontal force on the object
Horizontal force = 90 + 58sin33
Vertical force = 58cos33
∴The resultant force = √(90 + 58sin33)² + (58cos33)²
= 131.0 N
