Answer: Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area
Find the mid point of (7,-8) and (-1,6)
Answer:
(3, -1)
Step-by-step explanation:
(3,-1)
I think this is the answer hope it helps!!
In a recent student government election, the ratio of students who voted for the winner to all the students who voted was 0.55. The number of students who voted was 60. How many votes did the winner get?
Divide. 24.64 ÷ 5.6 Enter your answer, as a decimal, in the box.
A triangle's base is increasing at the rate of 3 inches/sec, its height at 2 inches/sec. At what rate is the area of the rectangle increasing when base is 10 inches and height is 14 inches
Answer:
dA/dt = 31 in²/ sec
Step-by-step explanation:
The area of the triangle is:
A(t) = (1/2)*b*h where b is the base and h the height
Differentiation on both sides of the equation we obtain
dA/dt = (1/2)* db/dt * h + (1/2)* dh/dt * b (1)
db/dt = 3 in/sec
dh/dt = 2 n/sec
b = 10 in
h = 14 in
By substitution in (1)
dA/dt = 0,5* 3*14 + 0,5* 2*10
dA/dt = 21 in² /sec + 10 in²/sc
dA/dt = 31 in²/ sec
Which function is not graph correctly? A. y=cos x. B. y=cot x. C. y=sin x. D.y=tan x. (GRAPHS in photo)
Answer:
We will begin with the graph of the tangent function, plotting points as we did for the sine and cosine functions. Recall that
tan
x
=
sin
x
cos
x
The period of the tangent function is π because the graph repeats itself on intervals of kπ where k is a constant. If we graph the tangent function on
−
π
2
to
π
2
, we can see the behavior of the graph on one complete cycle. If we look at any larger interval, we will see that the characteristics of the graph repeat.
We can determine whether tangent is an odd or even function by using the definition of tangent.
tan
(
−
x
)
=
sin
(
−
x
)
Step-by-step explanation:
Answer:
it is y=sin x
Step-by-step explanation:
i got it right on the test
Consider the function f (x) = StartFraction x squared + 11 x minus 12 Over x minus 1 EndFraction.
Which statement describes the discontinuity at x = 1?
a jump discontinuity that cannot be removed by extending the function
an infinite discontinuity that cannot be removed by extending the function
a removable discontinuity that can be removed by extending the function to include f(1) = 13
a removable discontinuity that can be removed by extending the function to include f(1) = –11
IT'S C!
Answer:
"a removable discontinuity that can be removed by extending the function to include f(1) = 13"
Step-by-step explanation:
We have the function:
[tex]f(x) = \frac{x^2 + 11*x - 12}{x - 1}[/tex]
Here we have a problem when x = 1, because that makes the denominator to be equal to zero.
For now, let's see what happens to the numerator when x = 1
1^2 + 11*1 - 12 = 12 - 12 = 0
So x = 1 is a root of the numerator.
Let's find the other root of the numerator, here we can use Bhaskara's formula:
[tex]x = \frac{-11 \pm \sqrt{11^2 - 4*1*(-12)} }{2*1} = \frac{-11 \pm 13}{2}[/tex]
Then the two roots are:
x = (-11 + 13)/2 = 1
x = (-11 - 13)/2 = -12
And remember that a quadratic equation:
y = a*x^2 + b*x + c
With roots p and k, can be written as:
y = a*(x - p)*(x - k)
Then we can rewrite our numerator as:
1*(x - 1)*(x - (-12)) = (x - 1)*(x + 12)
Replacing that in the equation for f(x), we get:
[tex]f(x) = \frac{x^2 + 11*x - 12}{x - 1} = \frac{(x - 1)*(x + 12)}{(x - 1)} = \frac{x - 1}{x -1} *(x + 12)[/tex]
f(x) = x + 12
And, when evaluated in x = 1, we get:
f(1) = 1 + 12 = 13
Then the correct option is:
"a removable discontinuity that can be removed by extending the function to include f(1) = 13"
Answer:
C
Step-by-step explanation:
I said so
I need help asap. Math Writing Expressions.
Answer:
1:
6y-3+y
D =7y-3
2.
50C
3.
6÷K
4.
7-x
5.
8p-4p
6.
2g-3
7.
1-7/p
D.(p-7)/p
Which of the following represents the range of the graph of F(x) below?
help me plz and thanks 74%of 41
Answer:
30.34
Step-by-step explanation:
easy math pppppppppp
Dean Kuroff started a business of rehabbing old homes. He recently purchased a circa-1800 Victorian mansion and converted it into a three-family residence. Yesterday, one of his tenants complained that the refrigerator was not working properly. Dean’s cash flow is not extensive, so he was not excited about purchasing a new refrigerator. He is considering two other options: purchase a used refrigerator or repair the current unit. He can purchase a new one for $600, and it will easily last three years. If he repairs the current one, he estimates a repair cost of $150, but he also believes that there is only a 25% chance that it will last a full three years and he will end up purchasing a new one anyway. If he buys a used refrigerator for $200, he estimates that there is a 0.4 probability that it will last at least three years. If it breaks down, he will still have the option of repairing it for $150 or buying a new one. Develop a decision tree for this situation and determine Dean’s optimal strategy.
Answer:
The decision tree is a explained as follows
Step-by-step explanation:
Currently two options are available
Purchase a new refrigerator for $600.Repair this refrigerator for $150, There is only 25% chance that the refrigerator will work for the next three years. $37.5 ($150 * 0.25) There is 75% chance that the refrigerator will need to be purchased a new refrigerator for $600. $450 ($600 * 75%)3. If he buys a used refrigerator for $200 there is 40% chance that it will work for next three years. $80 ($200 * 40%)
But there is 60% chance that the refrigerator will not work and he willa. Repair the refrigerator for $150. $90 ($150 * 60%)
b. Buy a new refrigerator for $600. $360 ($600 * 60%)
Help me PLEASEEEEEEEEEEEEE
Answer: d
Step-by-step explanation:
its d
One bag contains 6 red, 2 blue, and 3 yellow balls. A second bag contains 2 red, 4 blue, and 5 yellow balls. A third bag contains 3 red, 7 blue, and 1 yellow ball. One bag is selected at random. If 1 ball is drawn from the selected bag, what is the probability that the ball drawn is yellow?
Using it's concept, it is found that there is a 0.2727 = 27.27% probability that the ball drawn is yellow.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, we have that the probabilities are as follows:
1/3 probability of picking the first bag, then 3/11 probability of picking a yellow ball.1/3 probability of picking the second bag, then 5/11 probability of picking a yellow ball.1/3 probability of picking the third bag, then 1/11 probability of picking a yellow ball.Then, the probability of picking a yellow ball is given by:
[tex]p = \frac{1}{3}\left(\frac{3}{11} + \frac{5}{11} + \frac{1}{11}\right) = \frac{9}{33} = 0.2727[/tex]
0.2727 = 27.27% probability that the ball drawn is yellow.
More can be learned about probabilities at https://brainly.com/question/24372153
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When 6 is subtracted from twice the
Sum of a number and 8 the result
is 5. Find the number.
According to the question,
The equation will be:
[tex](2x + 8) - 6 = 5[/tex]By solving the bracket, we get
→ [tex]2x + 8 - 6 = 5[/tex]
→ [tex]2x +2 = 5[/tex]
By subtracting "2" from both sides, we get
→ [tex]2x+2-2= 5-2[/tex]
→ [tex]2x = 3[/tex]
[tex]x = \frac{3}{2}[/tex]
Thus the above answer is correct.
Learn more about equation here:
https://brainly.com/question/10807545
A psychiatrist is interested in finding a 90% confidence interval for the tics per hour exhibited by children with Tourette syndrome. The data below show the tics in an observed hour for 13 randomly selected children with Tourette syndrome. The population standard deviation is σ=4.08.
Required:
a. To compute the confidence interval use a, z or t distribution?
b. With 90% confidence the population mean number of tics per hour that children with Tourette syndrome exhibit is between ______ and _______ .
Answer:
a) z-distribution is used, as we have the standard deviation for the population.
b) Between [tex]\overline{x} - 1.86[/tex] and [tex]\overline{x} + 1.86[/tex], in which [tex]\overline{x}[/tex] is the sample mean of tics per hour.
Step-by-step explanation:
a. To compute the confidence interval use a, z or t distribution?
We have the standard deviation for the population, and thus, the z-distribution is used.
b. With 90% confidence the population mean number of tics per hour that children with Tourette syndrome exhibit is between ______ and _______ .
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.645\frac{4.08}{\sqrt{13}} = 1.86[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is [tex]\overline{x} - 1.86[/tex]
The upper end of the interval is the sample mean added to M. So it is [tex]\overline{x} + 1.86[/tex]
Between [tex]\overline{x} - 1.86[/tex] and [tex]\overline{x} + 1.86[/tex], in which [tex]\overline{x}[/tex] is the sample mean of tics per hour.
You have 3/6 a cup of oatmeal in your cupboard. A recipe for cookies calls for 1/4 cup of oatmeal. How much oatmeal would you have left if you made the cookies?
Find the measures of angle 1 and 2.
110°
80°
Answer:
110 and 100
Step-by-step explanation:
Angle 2 will have the same messurement as the one across, so 110
Angle 1 will be the difference between 180 and 80, so 100
Line DE is a_______
Answer:
Tangent
Step-by-step explanation:
Tangent - A line that intersects the circle at exactly one place
What is the opposite of dividing by 21? A. dividing by 21 B. multiplying by 21 C. subtracting 21 D. adding 21
Answer:
the correct answer is option B
The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
6, 18, 54, ...
Find the 9th term.
Answer:
19683
Step-by-step explanation:
1. find the ratio
this is geometric so..
54÷18=3
18÷6=3
2. set up the problem
3(3)^9-1
3^8= 6561
6561(3)=19683
The 9th term of a sequence is 39, 366.
What is Geometric Progression?In mathematics, a sequence known as a geometric progression (GP) is one in which each following term is generated by multiplying each preceding term by a constant integer, known as a common ratio. This progression is sometimes referred to as a pattern-following geometric sequence of numbers.
We have the series: 6, 18, 54, ...
as, the series in Geometric Progression.
So, the common ratio = 18/6 = 3
and, 54/ 18= 3
Using the formula
[tex]a_n[/tex] = a[tex]r^{n-1[/tex]
So, for n= 9
[tex]a_9[/tex] = a[tex]r^{9-1[/tex]
[tex]a_9[/tex] = a[tex]r^{8[/tex]
[tex]a_9[/tex] = 6 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3
[tex]a_9[/tex] = 39,336
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Find the zeros of f(x)=x(x−2)(x+5)
help please for my math!!!!!!!!!!!
Answer:
perimeter for rectangle: (x-2+x+2)×2=4x
perimeter for triangle : 2x-8+2x-8+x+6
=5x-10
The question said both geometry has same perimeter,so we have equation :
4x=5x-10
=>x= 10
put x in triangle's perimeter: 2×10-8+2×10-8+10+6
= 40
Step-by-step explanation:
the answer is C, hope you understand it
pls help.. person with correct answer will be marked brainliest
Answer:
x = 43.4°
Step-by-step explanation:
when two straight line intersects, angles directly opposite of each other has the same value.
convert 0.5kg to ounces
Answer:
17.6369809748oz
Step-by-step explanation:
hope this helps
Answer:
17.637
Step-by-step explanation:
Age of each person in Kidz Zone
6
5
4
2
1
20
25
0
0 5 10 15
Number of years
In which interval is the median age?
Choose 1 answer:
0-5
5 - 10
Answer:
10-15
Step-by-step explanation:
Median is the middle of the numbers (or in this case, number sets)
The middle number set is the third.
Thus, the interval would be 10-15.
Answer: 5-10
Step-by-step explanation:
the median for 11 data points would be the sixth data point which falls into the 5 to 10 years interval
Help with this I’m not good at math pleas
Answer:
58 Degrees
Step-by-step explanation:
if <3 is 110 degrees find the number of degrees
Can someone answer this?
The circle has a diameter of 20 cm. What is the Circumference? Use 3.14 for pi. Round to the hundredths place.
Answer:
62.83
Step-by-step explanation:
Joe swims 3 m North and then 5 m South. What is his distance? What is his displacement?
Swim
a) Distance: 8 m, Displacement: 2 m North.
b) Distance: 8 m, Displacement: 2 m South
c) Distance: 2 m, Displacement: 8 m North
d) Distance: 2 m, Displacement: 8 m South.
Answer:
Option "B" is the correct answer to the following question.
Step-by-step explanation:
Given:
Joe swim = 3 meter north
Jow swim = 5 meter south
Find:
Distance travel by Joe
Displacemnet by Joe
Computtaion:
The overall travel of an item without consideration to direction is called distance.
So,
Distance travel by Joe = 3 + 5
Distance travel by Joe = 8 meter
The term "displacement" refers to a shift in an object's location.
Displacemnet by Joe = 5 - 3
Displacemnet by Joe = 2 meter South
Find the length side of the rectangle
cm
5.6 cm
A= 62.72 sq cm
Answer:
11.2 cm
Step-by-step explanation:
62.72 / 5.6 = 11.2
The table and boxplots below shows summary statistics for
two distributions of calories in 10 brands of beef hot dogs
and 10 brands of turkey hot dogs.
Answer:
Step-by-step explanation: