According to the internet it states, The median of a triangle is a line segment joining the vertex of the triangle to the mid-point of its opposite side.
It bisects the opposite side, dividing it into two equal parts.
The median of a triangle further divides the triangle into two triangles having the same area
8. determine the shape:
Melissa: Does your shape have exactly one right angle?
Keya: Yes
Melissa: Does your shape have opposite congruent sides?
Keya: No
Melissa: Does your shape have any parallel sides?
Keya: Yes
Melissa: The shape is a _____________________
How did you rule out other shapes?
b) Michelle: Does your shape have 2 pairs of congruent opposite sides?
Olga: Yes
Michelle: Does your shape have right angles?
Olga: No
Michelle: Does your shape have 2 pairs of opposite parallel sides?
Olga: Yes
What is the shape?
Is there an additional question Michelle should ask to be sure? If so, what should she ask?
Quadrilaterals are plane shapes with four sides. Thus, the required answers are:
a) The first shape is a right trapezoid.
b) The second shape is a parallelogram.
The given properties are that of a quadrilateral, thus both shape is a quadrilateral. A quadrilateral is a family of shapes that have four straight sides. Examples include squares, rhombus, kites, etc.
A. Given that the shape has one right angle and parallel sides. Then considering the given properties, the most likely shape is a right trapezoid.
A right trapezoid is a type of trapezium that has one right angle, and a pair of parallel sides. Thus the shape here is a right trapezoid.
Other shapes could be ruled out by comparing their properties with the properties of the shape given in the question.
B. The properties of the required shape as given are: it has two pairs of congruent opposite sides, and 2 pairs of opposite parallel sides. Thus the most likely shape required here is a parallelogram. A parallelogram is a shape with parallel and congruent opposite sides, and no right angle.
Other shapes could be ruled out by comparing their properties with the properties of the shape given in the question.
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the sum of two numbers is 24 and the quotient is 3. what are the to numbers
Answer:
18 and 6
Step-by-step explanation:
18+6=24
18/6=3
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If y is inversely proportional to x and y=−54 when x=38, find y if x=30. (Round off your answer to the nearest hundredth.)
Answer:
-68.4
Step-by-step explanation:
answer explained on the photo !
If 7 spiders make 7
webs in 7 days, then 1
spider will make 1
web in how many
days?
Answer:
1 day
Step-by-step explanation:
since 7 spider =7 days
1 spider =? day
cross multiply
7 days × 1 spider = 7 spider × ? days
7 spider = 7 spider × ? days
7 spider 7 spider
= 1 days
[tex]212 \times 5 + 5222 \div 45 + 63 - 34[/tex]
this question i want
Find the total surface area of the cylinder shown. Leave the answer in terms of pi radius 4 height 6
Answer: [tex]80\pi[/tex]
Step-by-step explanation:
- the equation for the surface area of a cylinder is [tex]A=2\pi rh+2\pi r^{2}[/tex]
- the equation for this cylinder will be [tex]A=2\pi (4)(6)+2\pi (4^{2})\\[/tex]
- so, [tex]2\pi (4)(6) = 150.7964474[/tex] and [tex]2\pi (4^{2})\\ = 150.7964474[/tex]
- then [tex]150.7964474 + 150.7964474= 251.3274123[/tex]
- finally, [tex]251.3274123/\pi = 80[/tex]
- so the answer in terms of [tex]\pi[/tex] is [tex]80\pi[/tex]
hope this helps :)
465 draws will be made at random with replacement from the box [0 0 1]. The number of 1’s among the draws will be around…
The number of 1’s among the draws will be 155.
How to find that a given condition can be modelled by binomial distribution?Binomial distributions consist of n independent Bernoulli trials.
The expected value is given as
E(X) = np
465 draws will be made at random with replacement from the box [0 0 1].
The number of 1’s among the draws will be
p = 1/3
n = 465
Then the expected value is given as
E(x) = 465 × 1/3
E(x) = 155
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The equation y minus 1 = negative 7 (x minus 3). is written in point-slope form. What is the y-intercept of the line?
Answer:
(0, 22)
Step-by-step explanation:
So you have the equation:
[tex]y-1=-7(x-3)[/tex]
So first let's define what the "y-intercept" is. The y-intercept, of a line is like the name implies, when the line intercepts or "passes" the y-axis. And if you were to take any point on the y-axis, the y-value may vary, but there is one value that doesn't change, and that's the x-value. the x-value is always going to be zero, no matter where you are on the y-axis. So to find the y-intercept simple plug 0 in as x. This gives you the equation:
[tex]y-1 = -7(0-3)[/tex]
[tex]y-1 = -7(-3)[/tex]
[tex]y-1=21[/tex]
[tex]y=22[/tex]
So the y-intercept is at (0, 22)
Given: f(x) = 4x+1 and g(x)= x2+1, find (f g)x.
Answer:
given
fx = 4x+1
gx= 2x+1
Step-by-step explanation:
fg x = ?
we know ,
f g x = (4x+1) ( 2x+1)
= 4x ( 2x+1) +1 (2x+1)
= 8x² +4x +2x+1
= 8x² + 6x +1
I have tried this problem multiple times now and don't get the correct answer. Please help!
The confidence interval is (-1.1059, 7.70459).
What is confidence interval in statistics?Image result for what is confidence interval
A confidence interval is the mean of your estimate plus and minus the variation in that estimate.
The sample mean is M=3.3
The sample size is N=44
So, σM= s/√N = 16.6/ √44
= 16.6/ 6.633
= 2.621
and, the degree of freedom
df= n-1
=44-1
=43
So, The t-value for a 90% confidence interval and 43 degrees of freedom is t=1.681.
Now, Margin of error = 2.261* 1.681 = 4.4059
Now, the lower and upper bound of the confidence interval are:
LL = 3.3- 4.40459 = -1.1059
UL = 3.3+ 4.40459 = 7.70459
Hence, the confidence interval is (-1.1059, 7.70459).
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2b^3+5=2(3)^3+5
I will mark u brainliest if u get the question right
ALSO I NEED THE ANSWER AS SOON AS POSSIBLE
Answer:
B=3
Solution in photo
I hope this helped :)
Write -3.65 as a mixed number.
Answer:
-3 13/20
Step-by-step explanation:
-3.65=
-3 65/100=
-3 13/20
Help plsss there’s a timer
Answer:
[tex]a=27, b=81[/tex]
Step-by-step explanation:
Plug in the values
[tex]a=3^3\\b=3^4\\\\a=27\\b=81[/tex]
Can someone answer this
We can see that the unit rate of y = 6.5*x is larger than the unit rate on the graph.
How to get the unit rate of the line?
The unit rate is the equal to the slope of the line.
In the written line, y = 6.5*x, the unit rate is 6.5
On the graphed line we can see that it passes through the points (0, 0) and (1, 3), so the unit rate is:
[tex]r = \frac{3 - 0}{1 - 0} = 3[/tex]
Then we can see that the unit rate of y = 6.5*x is larger than the unit rate on the graph.
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1. What is the remainder when x³+4x2-2x+1 is divided by x+2 1. What is the remainder when x³ + 4x2-2x + 1 is divided by x + 2
Answer:
Remainder is 13
Step-by-step explanation:
You can apply the remainder theorem here. You just equate the divisor to 0, then substitute the x-value in the expression.
[tex]x^3 + 4x^2 - 2x + 1 \\[/tex] then, [tex]x+2=0\\x=-2[/tex]
substitute:
[tex]-2^3 + 4(-2)^2-2(-2) + 1 =13[/tex]
Therefore, the remainder is 13
The sum of 8 times a number and 10 is 34. Find the number.
Answer: 3
8x+10=34
sub 10
8x=24 divide by 8
x=3
Step-by-step explanation:
Which type of parent function is f(x) = -
1/?
O A. Absolute value
OB. Reciprocal
OC. Square root
OD. Linear
Answer: B. Reciprocal
Step-by-step explanation:
This is a fact.
The parent function represented by f(x) = -1/x is the reciprocal function.
Therefore, the correct answer is option B.
Reciprocal functions, also known as rational functions, are defined by an algebraic expression where the dependent variable is in the denominator. In this case, the dependent variable is x, and it appears in the denominator as 1/x.
The negative sign in front of the fraction simply indicates that the function is reflected over the x-axis.
The general form of a reciprocal function is f(x) = a/x, where "a" is a constant. In the given function f(x) = -1/x, a is equal to -1.
In the case of f(x) = -1/x, the graph of the function is a hyperbola that opens downwards in the first and third quadrants. It approaches the x-axis as x moves towards positive or negative infinity, and it moves away from the x-axis as x approaches 0.
Therefore, the correct answer is option B, the reciprocal function.
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2+2*+456+5367+63784+464749=
Answer:534360
Step-by-step explanation:
I did have to remove the multiplication though
Gathering information from individuals in a sample is known as _______________. A. data dumping B. data collection C. data diving D. data displaying
Gathering information from individuals in a sample is known as : Data collection. ( B )
What is statistics?Statistics is the science of collecting and analyzing data in quantities, especially for the purpose of informing.
Analysis:
sample collection is the first approach to analyzing any information.
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4(4 - x) - 8(-2 + 4x)
If you want the answer simplified, its
-36x + 32
Latesha justifies whether the expression 4x – 3 is equivalent to one-half (4 x minus 6) minus 2 x (1 minus 3) by letting x = 2 in both expressions. which values should latesha compare to justify whether the expressions are equivalent? 2 and 5 5 and 9 5 and 5 9 and 9
Answer:
5 and 9
Step-by-step explanation:
Answer:b
Step-by-step explanation: took the test
FAST HELPPPPPPP
The point at which three or more lines intersect is the point of
A.equality.
B.concurrency.
C.parallelism.
D.tangency.
Answer:
B.concurrency.
Step-by-step explanation:
Three or more lines when met at a single point are said to be concurrent and the point of intersection is point of concurrency.
6(m + 2 + 7m)
Part A: Write two expressions that are equivalent to the given expression. (3 points)
Part B: Show that one of your expressions in Part A is equivalent to the given expression using algebraic properties. Explain which properties you used. (4 points)
Part C: Show that your other expression from Part A is equivalent to the given expression by substituting a number for m. (3 points)
Part A: 6 ( 8m + 2) and 48m + 12
Part B: 48m - 48m = 12 - 12
Part C: 6 (10) = 6(10)
How to determine the expressions1. The two expressions could be gotten thus;
6(m + 2 + 7m)
Collect like terms in the bracket
6 ( 8m + 2) ⇒ first expression
6(m + 2 + 7m)
Expand the bracket
6m + 12 + 42m
Collect like terms
6m + 42m + 12
48m + 12 ⇒ second expression
Part B:
6(m + 2 + 7m) = 48m + 2
Expand the bracket
6m + 12 + 42m = 48m + 2
Collect like terms
48m - 48m = 12 - 12
0 = 0
Part C:
Let the expression from A be 6 ( 8m + 2)
6(m + 2 + 7m) = 6 ( 8m + 2)
Let the number be m = 1
Substitute the values
6(1 + 2 + 7(1) ) = 6 (8(1) + 2)
6 ( 1 + 2 + 7) = 6 (10)
6 (10) = 6(10)
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Cost of a CD: $17.50
Markup: 45%
Answer:
25.375
Step-by-step explanation:
17.50×45%=7.875
17.50+7.875=25.375 new price
Form the table of backward differences for the function f(x) = x³ +5x-7 for x = -1, 0, 1, 2, 3, 4 5 and 6.
The table of values is
x -1 0 1 2 3 4 5 6
f(x) -13 -7 -1 11 35 77 143 139
How to form the table?The function is given as:
f(x) = x³ +5x-7
And the values of x are
x = -1, 0, 1, 2, 3, 4 5 and 6.
Substitute these values in the function
f(-1) = (-1)³ +5(-1) - 7 = -13
f(0) = (0)³ +5(0) - 7 = -7
f(1) = (1)³ +5(1) - 7 = -1
f(2) = (2)³ +5(2) - 7 = 11
f(3) = (3)³ +5(3) - 7 = 35
f(4) = (4)³ +5(4) - 7 = 77
f(5) = (5)³ +5(5) - 7 = 143
f(6) = (6)³ +5(6) - 7 = 239
Hence, the table of values is
x -1 0 1 2 3 4 5 6
f(x) -13 -7 -1 11 35 77 143 139
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Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that n begins with 1.)
{2, 6, 10, 14, 18, . . . }
The formula for the general term of the sequence is Tn = 4n - 2
How to determine the formula?The sequence is given as:
{2, 6, 10, 14, 18, . . . }
The above sequence is an arithmetic sequence with the following features:
First term, a = 2Common difference, d = 4 i.e. 6 - 2The formula for the general term is calculated using:
Tn = a + (n - 1) * d
This gives
Tn= 2 + (n - 1) * 4
Expand
Tn = 2 + 4n - 4
Evaluate the like terms
Tn = 4n - 2
Hence, the formula for the general term of the sequence is Tn = 4n - 2
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Find k. ..................
Answer:
k = -10
Explanation:
f(x) = 4x³ - 3kx² + 44x - 30
The divisor is:
(x - 2)Set divisor to zero:
(x - 2) = 0x = 2Insert this into equation.
⇒ 4(2)³ - 3k(2)² + 44(2) - 30 = 210
⇒ 32 - 12k + 88 - 30 = 210
⇒ -12k + 90 = 210
⇒ -12k = 210 - 90
⇒ -12k = 120
⇒ k = 120/-12
⇒ k = -10
Answer:
k = -10
Step-by-step explanation:
From the remainder theorem, we know that the remainder, 210, is equal to f(2).
∵ [tex]f(2) = 210[/tex] ,
⇒ [tex]4(2)^3 - 3 k(2)^2+44(2) - 30 = 210[/tex]
⇒ [tex]32 -12k + 88 - 30 = 210[/tex]
⇒ [tex]90 - 12k = 210[/tex]
⇒ [tex]-12k = 120[/tex]
⇒ [tex]k = -10[/tex]
AADF, AB = 16,
mZB = 59° mZD = [?]
Answer:
59°
Step-by-step explanation:
ABC and ADF are congruent (that is the meaning of that symbol).
that means all their associated angles and side lengths are the same.
it is relatively clear to see that
A corresponds to A.
D corresponds to B.
F corresponds to C.
therefore, the angle D = angle B = 59°.
FYI - it also means that AD = AB = 16. but this information was actually irrelevant for this question.
Giving brainliest :)
Answer:
I think it would be D the last answer on the page I am pretty confident in the answer but if for some reason it's wrong then I'm sorry.
Step-by-step explanation:
h(t)=t^4+3t^2-t+3
h'?
Answer: [tex]h'(t)=4t^3 + 6t-1[/tex]
Step-by-step explanation:
Use the power rule for differentiation.