[tex]\frac{137+150+144+149+x}{5} =141[/tex]
[tex]x=125[/tex]
Therefore, the man is shorter than 141 centimeters.
What is a rigid motion?
Answer:
Rigid motion is otherwise known as a rigid transformation and occurs when a point or object is moved, but the size and shape remain the same. This differs from non-rigid motion, like a dilation, where the size of the object can increase or decrease.
Step-by-step explanation:
This is the formula for the
area of a triangle. Solve the
equation for height, A
Answer: 2A/base = Height
Step-by-step explanation:
[tex]A=\frac{base*height}{2} \\2A=base*height\\\frac{2A}{base} =height[/tex]
what is the estimate of 14.8(20.7)
Answer:
306.36 is the answer
Step-by-step explanation:
Answer:
306.36
Step-by-step explanation:
hope it helps! x
Round 76m to 1 significant figure
factorize x^2/16+xy+4y^2
Answer:
[tex]\frac{x^2}{16} +xy+4y^2[/tex] can be factored out as: [tex](\frac{x}{4} +2\,y)^2[/tex]
Step-by-step explanation:
Recall the formula for the perfect square of a binomial :
[tex](a+b)^2=a^2+2ab+b^2[/tex]
Now, let's try to identify the values of [tex]a[/tex] and [tex]b[/tex] in the given trinomial.
Notice that the first term and the last term are perfect squares:
[tex]\frac{x^2}{16} = (\frac{x}{4} )^2\\4y^2=(2y)^2[/tex]
so, we can investigate what the middle term would be considering our [tex]a=\frac{x}{4}[/tex], and [tex]b=2y[/tex]:
[tex]2\,a\,b=2\,(\frac{x}{4}) \,(2\,y)=x\,y[/tex]
Therefore, the calculated middle term agrees with the given middle term, so we can conclude that this trinomial is the perfect square of the binomial:
[tex](\frac{x}{4} +2\,y)^2[/tex]
If x = 4 and y = 8 , evaluate the following expression: x/y Give your answer as a fraction in its simplest form.
Answer:
X/Y = 4/8= 1/2
Step-by-step explanation:
This is the answer of this question
How do I do this 3x + 5.2 = 2 - 5x
Answer:
x = -.4
Step-by-step explanation:
3x + 5.2 = 2 - 5x
Add 5x to each side
3x+5x + 5.2 = 2 - 5x+5x
8x +5.2 = 2
Subtract 5.2 from each side
8x +5.2 - 5.2 = 2-5.2
8x = -3.2
Divide each side by 8
8x/8 = -3.2/8
x = -.4
Answer:
x= -0.4
Step-by-step explanation:
3x+5.2=2-5x
Add 5x to both sides
8x+5.2=2
Subtract 5.2 from both sides
8x= -3.2
Divide both sides by 8
x= -0.4
I just realized my answer is really similar to Wegnerkolmp2741o so sorry if it seems like I'm copying them.
What is the range of the function 2x + y = 7
if the domain is {-4, -2,0, 5, 7)?
Answer| range: {15, 11, 7, -3, -7}
Step-by-step explanation:
Plug in the domain to find the range:
x = 4
2(-4) + y = 7
-8 + y = 7
y = 15
x = -2
2(-2) + y = 7
-4 + y = 7
y = 11
x = 0
2(0) + y = 7
0 + y = 7
y = 7
x = 5
2(5) + y = 7
10 + y = 7
y = -3
x = 7
2(7) + y = 7
14 + y = 7
y = -7
What is the simplified form of the expression?
(3x^2+5x-8)+(5x^2-13x-5)
= 3x^2 + 5x^2 = 8x^2
5x - 13x = -8x
-8 + -5 = -13
=> 8x^2 - 8x - 13
: B
Answer:
8x2 − 8x − 13
Step-by-step explanation:
(((3•(x2))+5x)-8)+((5x2-13x)-5)
((3x2 + 5x) - 8) + (5x2 - 13x - 5)
Factoring 8x2-8x-13
The first term is, 8x2 its coefficient is 8 .
The middle term is, -8x its coefficient is -8 .
The last term, "the constant", is -13
Step-1 : Multiply the coefficient of the first term by the constant 8 • -13 = -104
Step-2 : Find two factors of -104 whose sum equals the coefficient of the middle term, which is -8 .
-104 + 1 = -103
-52 + 2 = -50
-26 + 4 = -22
-13 + 8 = -5
-8 + 13 = 5
-4 + 26 = 22
-2 + 52 = 50
-1 + 104 = 103
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
8x2 - 8x - 13 ✅
Can the polynomial in the numerator of the expression x^2-5x+7/x-9 be factored to derive (x − 9) as a factor
Answer:
Step-by-step explanation:
We can find out by using synthetic division and the fact that x - 9 Might be a 0. If x = 9 is a 0 of that polynomial, then we will get no remainder when we divide the polynomial by 9:
9 | 1 -5 7
____________
First thing to do is bring down the 1 and multiply it by the 9 and put that product up under the -5:
9 | 1 -5 7
______9____
1
Now add down the column to get:
9 | 1 -5 7
_____9____
1 4
Now multiply 4 by 9 and put that product up under the 7:
9 | 1 -5 7
______9__36
1 4
Now add to see what the remainder is:
9 | 1 -5 7
_______9_36
1 4 R43
we have a remainder of 43. Since it is not a 0, then the polynomial is not evenly divisible by x - 9.
So the answer is No.
Calving works totally for 3 hours in weekdays and 5 hours in weekends. How many hours does he works in 4 weeks?
A. 36 hours
B. 32 hours
C. 20 hours
D. 12 hours
Answer:
B. 32
Step-by-step explanation:
5+3=8
8×4=32
// have a great day //
6. What is the slope of a line perpendicular to the line whose equation is y = 2x -5?*
1) -2
2) 2
3) 1/2
4) -1/2
Answer: -1/2
You get y = 2x - 5, so the slope is 2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is -1/2.
What is mzABC?
75°
Om ABC = 15°
Om ABC = 45°
135
С
Om ABC = 60°
Om ABC = 75°
B
D
Answer:
D
Step-by-step explanation:
I got it on the test
The measure of ∠ABC in the triangle below is 60°
Triangle
Triangle is a polygon with three sides and three angles. The sum of angles in a triangle is 180°.
∠ACB + 135 = 180° (Sum of angles in a straight line)
∠ACB = 45°
In triangle ABC:
∠ABC + ∠ACB + ∠CAB = 180° (Sum of angle in a triangle)
∠ABC + 75 + 45 = 180
∠ABC = 60°
The measure of ∠ABC in the triangle below is 60°
Find out more on Triangle at: https://brainly.com/question/23945265
what is cos 60 degrees
Answer:
0.5
Step-by-step explanation:
hlp me hlp me hlp me hlp me
The unit rate would be points per game.
To find the points per game, divide both numbers by 6:
288/6 = 48
the unit rate would be 48 points / 1 game.
The answer is the first choice.
Answer:
[tex]\frac{288 points}{6 games}[/tex] ÷ [tex]\frac{6}{6} =\frac{48 points}{1 game}[/tex] or the 1st option
Step-by-step explanation:
[tex]\frac{288 points}{6 games}[/tex] ÷ [tex]\frac{6}{6} =\frac{48 points}{1 game}[/tex]
We get this answer because to find the unit rate, we need to get however many points over one game.
Which of the following is a function?
Click on the graph until the correct graph appears.
Answer:
The correct graph should have x values that have no more than one y value.
Step-by-step explanation:
A the inputs (x values) of a function can have no more than one y value. This is a "fact" for functions. So you should click on the graph until you see a graph where every x value has exactly 0 or 1 y value.
Susie heard a traffic report that 495 was jammed. She then decided to find an alternate route home. This is an example of ??? reasoning Converse Deductive Inductive Indirect
Answer:
The correct option is;
Deductive
Step-by-step explanation:
Deductive reasoning or logic is the basic reasoning process that begins with a premise, hypothesis or general statement that is taken as being correct or true and continues with the consideration of the likelihoods or possibilities to come to a conclusion which is logically certain
In deductive reasoning a top to down reasoning approach is applied to link a premise with a conclusion.
The exact value of Tan 30 x sin 60
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\tan \left(30^{\circ \:}\right)=\frac{\sqrt{3}}{3}[/tex]
[tex]\quad \sin \left(60^{\circ \:}\right)=\frac{\sqrt{3}}{2}[/tex]
[tex]=\frac{\sqrt{3}}{3}\times \frac{\sqrt{3}}{2}[/tex]
[tex]=\frac{3}{6}[/tex]
[tex]=\frac{1}{2}[/tex]
Answer:
[tex]1/2[/tex]
Step-by-step explanation:
Tan 30 = [tex]\frac{\sqrt{3} }{3}[/tex]
Sin 60 = [tex]\frac{\sqrt{3} }{2}[/tex]
Multiply the 2 roots you get my answer 1/2
A basket has at most 150 applies in it. Then the number of apples in the basket if the number of apples satisfy the following conditions If counted in pairs, one remains; If counted in threes, two remains; If counted in fourss, three remains; If counted in fives, four remains; If counted in sixes, five remains; If counted in sevens, nothing remains; (A) 116 (B) 117 (C) 118 (D) 119
Answer:
Number of apple = 119
Step-by-step explanation:
Given
[tex]Max_{Apple} = 150[/tex]
Required
Find the actual number of apples;
When counted in any numbers, the number being counted is the divisor;
Take for instance, when counted in pairs, the divisor is 2
When counted in threes, the divisor is 3
and so on...
So; from the question, we understand that; when the apple is counted in 2s,3s,4s,5s, and 6s; what's left is always one less than the divisor
This means that the number of apple must satisfy the following conditions
Less than 1501 less than the Common Multiple of 2,3,..,6Divisible by 7The common multiple of 2,3,..6 are 60, 120 ,180,240.....
Recall that, these multiples must satisfy the three conditions above;
1. Less than 150: Only 60 and 120 satisfy condition.
At this point, we'll discard other numbers (180,240,300.....)
2. 1 less than the Common Multiple of 2,3,..,6:
1 less than 60: 60 - 1 = 59
1 less than 120: 120 - 1 = 119
3. Divisible by 7
At this point, we'll divide 59 and 119 by 7 to see if they satisfy this condition;
[tex]\frac{59}{7} = 8.42857142857[/tex]
[tex]\frac{119}{7}=17[/tex]
The results of these division shows that 59 is not divisible by 7;
Hence, the actual number of apple is 119
Number of apple = 119
A ball is being inflated at a rate that can be modeled by the function V(t) = 10t, where t is the number of seconds spent inflating the ball. The radius at a given volume can be modeled by the function r(V)=^3√3V/4pi.
Which composite function can be used to determine the radius of the ball depending on the number of seconds spent inflating the ball?
Answer:
Correct option: second one
Step-by-step explanation:
To find the composite function r(V(t)) (radius of the ball in relation to time being inflated), we just need to use the value of the equation V(t) in each value of V in the function r(V).
[tex]V(t) = 10t[/tex]
[tex]r(V)=\sqrt[3]{3V/4\pi}[/tex]
[tex]r(V(t))=\sqrt[3]{3V(t)/4\pi}[/tex]
[tex]r(V(t))=\sqrt[3]{3*10t/4\pi}[/tex]
[tex]r(V(t))=\sqrt[3]{30t/4\pi}[/tex]
Correct option: second one
Answer:BBBBBBBBB
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLIEST
Linda made 5 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 5 necklaces was $18.50 . If the beads cost $1.50 for each necklace, how much did each pendant cost?
Answer:
$2.20
Step-by-step explanation:
If the beads cost $1.50 for each necklace, then we have to do $1.50 X 5 = $7.50
Then, $18.50 - $7.50 = $11
Then $11/ 5 = $2.2
A chemist bought 2390 test tubes and beakers.1034 of them were test tubes and the rest were beakers.How many more beakers did the chemist buy than test tubes?
Answer:
322
Step-by-step explanation:
The question explains that the total of both test tubes and beakers were
= 2390.
If 1034 of them were test tubes, then the number of beakers bought,
= 2390 - 1034
= 1356.
The question requires the answer to how many more beakers than test tubes were bought, and this would mean subtracting the number of beakers from the number of test tubes.
= 1356 - 1034
= 322
Therefore, 322 more beakers than test tubes were bought.
50 pts help pls...
Combine Felix's and Tyler's data. What is the mean of the combined data? Include your calculations as part of your answer. (Hint: Use a shortcut to find the answer.)
Felix
mean = 9.4
median = 7
Tyler
mean = 54
median = 66
B oranges cost 60c. How much will 7 oranges cost
Answer: 53 c
Step-by-step explanation:
If 8 oranges cost 60c
7 oranges will cost (7 x 0.60) / 8 = 0.53
Which is the first step in simplifying the expression 2(x + 3) + 5?
Answer:
Step-by-step explanation:
Feel pleasure to help you.
Which regression equation best fits these data?
[tex]the \: right \: answer \: is \: of \: option \: a \\ y = - 0.32 {x}^{2} - 1.26x + 15.81 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
Find Four Solutions For the following Linear equations in two variables: y = 5x
Answer:
see explanation
Step-by-step explanation:
To find solutions to the equation, choose any value for x, substitute into the equation and evaluate for y, that is
x = - 1 → y = 5(- 1) = - 5 ⇒ (- 1, - 5 )
x = 0 → y = 5(0) = 0 ⇒ (0, 0 )
x = 1 → y = 5(1) = 5 ⇒ (1, 5 )
x = 5 → y = 5(5) = 25 ⇒ (5, 25 )
Thus 4 solutions are
(- 1, - 5), (0, 0), (1, 5), (5, 25)
a(n) _________ of a triangle is a line or segment that passes through a vertex and bisects the opposite that vertex 7 7
Answer: Altitude
Step-by-step explanation:
what is the answer to -2x- x +8
Answer:
[tex]x=\frac{8}{3}[/tex]
Step-by-step explanation:
I don't know if this has an =0 at the end, but I assume it does.
This is how you would work it out:
[tex]-2x-x+8=0\\-3x=-8\\x=\frac{-8}{-3} \\x=\frac{8}{3}[/tex]
Suppose f(x) = x^2 and g(x) = (1/4)^2. Which statement best compares the graph of g(x) with the graph of f(x)
Answer:
g(x) is the image of f(x) after stretched horizontally by scale factor = 4
Step-by-step explanation:
The statement that best compares the graph of g(x) with the graph of f(x) says g(x) is the image of f(x) after stretched horizontally by scale factor = 4 because:
Given the function
f(x) = x² and g(x) = (1/4x)² the image of f(x) after one transformation.
The transformation shows that g(x) stretches away from y-axis.
Since the transformation is stretched horizontally. So g(x) is the image of f(x) after stretched horizontally by scale factor (I.e. by 1).
Then we use the scale factor to divide g(x)
1 ÷ ¼ = 1 x 4/1 = 4
So therefore, g(x) is the image of f(x) after stretched horizontally by scale factor = 4
