Answer:
fx/gx=10
Step-by-step explanation:
fx= (36x5)-(44x4)-(28x3)
fx=80
gx= 4x2
gx=8
To work out fx/gx:
fx/gx=80/8
fx/gx=10
Write coordinates of a point whose abscissa is -2 and ordinate is -3.
Answer:
(-2,-3)
Step-by-step explanation:
abscissa is always know as the x axis
ordinate is known as y axis
therefore
it lies in the fourth quadrant
In training for a distance cycling event, Milicent bikes 23 miles to the park. Then, she bikes 42 miles to the beach before cycling 29 miles from the beach back to her house. How many total miles does Millicent cycling her bike? Give the numeric value only, without units.
Answer:
94
Step-by-step explanation:
Add the three distances.
23 + 42 + 29 = 94
94 miles
[tex]\text{We need to get the total miles Milicent cycled}\\\\\text{To do this, we would add up all the distances she travelled}\\\\\text{Add:}\\\\23+42+29=94\\\\\boxed{\text{94 miles}}[/tex]
Which is a qualitative graph? On a coordinate plane, a line with positive slope goes through points (negative 1, 0) and (0, 3). On a coordinate plane, points are at (0, 2), (1, 3), (2, 2.5), (3, 3), (4, 4), and (4.5, 5). A graph has time on the x-axis and height on the y-axis. The graph increases to point A, increases to point B, and then decreases to point C. A graph has time on the x-axis and height on the y-axis. Segment A increases, segment B is increases, and segment C decreases.
Answer:
(-1,0), (0,3) and (2,2.25)
Step-by-step explanation:
The qualitative graph is as follows:
A(-1,0) ------> B(0,3) ------> C(2,2.25)
Hence, slope = (2.25 - 0)/(2 - (-1)) = 2.25/3
∴ slope = 0.75
Except for the option graph on a coordinate plane, a line with a positive slope goes through points (negative 1, 0) and (0, 3), all the graph is qualitative. Options B, C, and D are correct.
What is a qualitative graph?The kind of graph that shows the quality curve such as decreasing and increasing events, is called a qualitative graph or curve.
Here,
1. On a coordinate plane, a line with a positive slope goes through points (negative 1, 0) and (0, 3), since this graph does not represent any data as well as also constantly increasing between two points so it is not a qualitative graph.
Similarly,
Graphs B, C, and D have an increasing and decreasing order, so all are qualitative graphs.
Thus, except for graph A all the graphs are qualitative graphs.
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After which transformation of △ABC would the image △A'B'C' not have the same area?
Answer:
. reflection across the y-axis followed by a rotation 90° clockwise about the origin
2. rotation 180° clockwise about the origin followed by a reflection across the line y = -x
Step-by-step explanation:
Dilation of △ABC rotation 180° clockwise about the origin followed by a reflection across the line y = -x,
Reflection across the y-axis followed by a rotation 90° clockwise about the origin.
What is Dilation?Dilation is a process for creating similar figures by changing the size.
In transformation of △ABC,
Dilation of △ABC rotation 180° clockwise about the origin followed by a reflection across the line y = -x,
Reflection across the y-axis followed by a rotation 90° clockwise about the origin.
Hence, the image △A'B'C' not have the same area.
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Please Help Asap!!! Will give brainiest if answered correctly with explanation.
Answer:
HL and SAS
which agrees with the third option listed among your options
Step-by-step explanation:
Notice that you have two triangles (see attached image) which have a common side (marked in blue), sides YW and YZ (marked in green) congruent, and the angle in between also congruent.
Therefore we have two postulates than can be applied to prove that the triangles YWX and YXZ are congruent:
HL postulate : "congruent hypotenuse and a corresponding congruent leg " that corresponds to hypotenuses YW and YZ, and congruent leg which is the common segment YX.
and:
SAS postulate: "two sides and the included angle" which corresponds to sides YW, YX, and angle WYX on one triangle, and sides YX, YZ, and angle XYZ in the other triangle
Given: DF and DE are midsegments of ∆ABC Prove: DE= 1/2 AC (PLEASE HELP)
Answer:
The correct answer is D because we proved that the triangles ΔDBE and ΔADF are congruent so that means that DE = segment A F because of CPCTC.
Answer:
The correct answer is D because we proved that the triangles ΔDBE and ΔADF are congruent so that means that DE = segment A F because of CPCTC.
Step-by-step explanation:
if x ≥ 5, then 4x _ 20 a) > b) < c) ≤ d) ≥ e) =
Answer: d
Step-by-step explanation:
x*4=4x
5*4=20
Thus, all the new inequality is is a new, more complex version of the original. Thus, the sign stays the same.
Hope it helps <3
Answer:
d) ≥ .
Step-by-step explanation:
When x = 5 4x = 20.
hen x > 5 4x > 20.
plzzzzz help meeee 10points!
Write as an algebraic expression: 6 less than the product of 4 and a number
Hi there! I know I'm a little late but, hopefully this helps!
-------------------------------------------------------------------------------------------------------------
"6 less than the product of 4 and a number" means:
4 × n - 6
For 100 births, P(exactly girls) and P( or more girls). Is girls in 100 births a significantly high number of girls? Which probability is relevant to answering that question? Consider a number of girls to be significantly high if the appropriate probability is 0.05 or less.
Answer;
The relevant probability is 0.136 so the value of 56 girls in 100 births is not a significantly high number of girls because the relevant probability is greater than 0.05
Step-by-step explanation:
The complete question is as follows;
For 100 births, P(exactly 56 girls = 0.0390 and P 56 or more girls = 0.136. Is 56 girls in 100 births a significantly high number of girls? Which probability is relevant to answering that question? Consider a number of girls to be significantly high if the appropriate probability is 0.05 or less V so 56 girls in 100 birthsa significantly high number of girls because the relevant probability is The relevant probability is 0.05
Solution is as follows;
Here. we want to know which of the probabilities is relevant to answering the question and also if 56 out of a total of 100 is sufficient enough to provide answer to the question.
Now, to answer this question, it would be best to reach a conclusion or let’s say draw a conclusion from the given information.
The relevant probability is 0.136 so the value of 56 girls in 100 births is not a significantly high number of girls because the relevant probability is greater than 0.05
Solve sin 20 = COS CE-30)
Answer:
CE = 100°
Step-by-step explanation:
Using the cofunction identity
sin x = cos(90 - x)
Given x = 20°, then 90° - 20° = 70° thus
CE - 30 = 70° ( add 30 to both sides )
CE = 100°
Thus
sin20° = cos(100 - 30)° = cos70°
Answer:
CE = 100
have a nice day!
Step-by-step explanation:
Plot and connect the points A(-4, -1), B(6, -1), C(6, 4), D(-4, 4), and find the area of the rectangle it forms.
Answer:
50 square units
Step-by-step explanation:
When graphed you have a width of 5 and a length of 10 so multiply them together to get 50
Answer:
Step-by-step explanation:
I have this question too. I think it is 45. sorry if its incorrect
Suppose that a bacterial culture was known to double every 2 days. After 46 days, it covered the entire surface area in the petri dish. When did it cover half the area? Explain.
Answer:
in day 44 it covered half the area.
Step-by-step explanation:
A bacterial culture doubles every two days, so if today it covers [tex]3 cm^2[/tex], in two days it will cover [tex]6cm^2[/tex]. In other words, if today it covered x space, two days ago it covered half the space [tex](\frac{x}{2})[/tex].
Now, following that reasoning, we have that after 46 days the bacterial culture covered the entire surface area in the Petri dish, therefore, two days ago it covered half the area and we can conclude that in day 44 it covered half the area.
Consider the functions. F(x)=(x+1)2-4 and g(x)=-4|x+1| which statement compares the range of the functions?
Answer:
The fourthStep-by-step explanation:
Vertex of f is (-1, -4) so its range is limited to y≥-4
|x+1| is always ≥0 therefore -|x+1| is always ≤0 {4 is insignificant to this - slope doesn't mean in range} so its range is limited to y≤0
Answer:
D
Step-by-step explanation:
i just took the test
F(x) = 3x+2 what is f(5)
Answer:
f(5) = 17Step-by-step explanation:
f(x) = 3x + 2
To find f(5) substitute 5 into f(x)
That's
f(5) = 3(5) + 2
= 15 + 2
= 17
Hope this helps you
Answer:
17
Step-by-step explanation:
You just plug 5 into the equation
f(5)= 3(5)+2
=15+2
=17
Hope this helped! :)
Simplify each expression.
1) 3(8Z² - 52 - 7)
2) 8d(2d-4)
6) 6(5x - 4)
7) 6q- 4
Answer:
1) 24Z^2 - 177.
2) 16d^2 - 32d.
6) 30x - 24.
7) 6q - 4.
Step-by-step explanation:
1) 3(8Z^2 - 52 - 7)
= 3(8Z^2 - 59)
= 24Z^2 - 177
2) 8d(2d - 4)
= (8d * 2d) - (8d * 4)
= 16d^2 - 32d
6) 6(5x - 4)
= (6 * 5x) - (6 * 4)
= 30x - 24
7) Already simplified. 6q - 4.
Hope this helps!
Answer this please :(
Answer:
Part A: check B, E and F.
Part B: check E and G.
Step-by-step explanation:
The equation [tex]y = a(x - b)^2 + c[/tex] is the equation of a parabola written in the vertex form, where the vertex will be (b, c).
So, if the vertex is (2, -1), we have that b = 2 and c = -1
To find the c value, we use the information that the y-intercept is 3, so we have the point (0, 3). Using x = 0 and y = 3, we have:
[tex]3 = a(0 - 2)^2 - 1[/tex]
[tex]3 = 4a - 1[/tex]
[tex]4a = 4[/tex]
[tex]a = 1[/tex]
So we have a = 1, b = 2 and c = -1.
Part A: check B, E and F.
To find the x-intercepts, we need to find the values of x where y = 0:
[tex]0 = (x - 2)^2 - 1[/tex]
[tex]x^2 - 4x + 4 - 1 = 0[/tex]
[tex]x^2 - 4x + 3 = 0[/tex]
Solving using Bhaskara's formula (a = 1, b = -4 and c = 3), we have:
[tex]\Delta = b^2 - 4ac = 16 - 12 = 4[/tex]
[tex]x_1 = (-b + \sqrt{\Delta})/2a = (4 + 2)/2 = 3[/tex]
[tex]x_2 = (-b - \sqrt{\Delta})/2a = (4 - 2)/2 = 1[/tex]
So the x-intercepts are 1 and 3
Part B: check E and G.
please help !!!!!!!!
Answer:
x=3 y=11
Step-by-step explanation:
2x+3=9
2x=6
x=3
y-4=7
y=11
pls answer asap i need this answer quick plus the full explanation #7
Multiply. √3 ⋅ √5 ⋅ √7 Enter your answer, in radical form, in the box.
Answer: square 105
Step-by-step explanation: Confirming answer
A radical expression is an expression containing a square root, mostly a square root.
The value of √3.√5.√7 in radical form is √105.
What is a radical expression?A radical expression is an expression containing a square root, mostly a square root.
We have,
√3.√5.√7
We can multiply the numbers together.
= √(3 x 5 x 7 )
= √(15 x 7)
= √105
Thus the value of √3.√5.√7 in radical form is √105.
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Simplify: 14 - 2+ 8 = 2 *3
helppp meeee
Answer:
20=6?
Step-by-step explanation:
14-2+8=2*3
14-2+8=6
12+8=6
20=6?
Answer:
These to equations aren't equivalent.
Step-by-step explanation:
14-2+8=2*3
12+8=6
20=6
Hope this helps ;) ❤❤❤
Which of the following is a key property of the quadratic parent function?
Answer: B
Step-by-step explanation:
Quadratic parent function is y=x^2 which means the vertex is the origin because if you input 0 into the function you will get an output of zero. (0,0) is the origin which is where the graph intersect.
At a central train station, there are 4 different train routes with trains that leave every 6 minutes, 10 minutes, 12 minutes, and 15 minutes. If each train can hold up to 200 passengers, what is the maximum number of passengers who can leave the station on a train in one hour?
Answer:
5,000 passengers
Step-by-step explanation:
1. Find out how many trains leave each hour.
6 min – 60/6 = 10 x 200 passengers = 2000
10 min – 60/10 = 6 x 200 passengers = 1200
12 min – 60/12 = 5 x 200 passengers = 1000
15 min – 60/15 = 4 x 200 passengers = 800
2. Add it all up.
2000 + 1200 + 1000 + 800 = 5000 passengers
Answer:
5000
Step-by-step explanation:
6 minute train leaves 10 times
10 x 200 = 2000 passengers
10 minute train leaves 6 times
6x200 = 1200
12 minute train leaves 5 times
5x200 =1000
15 minute train leaves 4 times
4x200 =800
2000+1200+1000+800=5000
assuming more than 1 train can be at the station at once
To make lines m and n parallel, identify the measures of Angle 3 and angle 4.
Answer:
<3 = 112 degrees
<4 = 68 degrees
Step-by-step explanation:
<3 = 112 degrees (Alternate angles are congruent)
And,
<4+<3 = 180 (Angles on a straight line add up to 180)
=> <4 + 112 = 180
=> <4 = 180-112
=> <4 = 68 degrees
Please help
Factorise completely 36ab - 18b+6a-3
Answer:
[tex]3(6b-1)(2a-1)[/tex]
Step-by-step explanation:
[tex]36ab-18b+6a-3\\18b(2a-1)+3(2a-1)[/tex]
Taking (2a-1) as common
[tex](18b+3)(2a-1)[/tex]
=> [tex]3(6b-1)(2a-1)[/tex]
Answer:
[tex]3(6b+1)(2a-1)[/tex]
Step-by-step explanation:
[tex]36ab - 18b+6a-3[/tex]
Factor the two groups.
[tex]18b(2a-1)+3(2a-1)[/tex]
Take 2a - 1 common.
[tex](18b+3)(2a-1)[/tex]
Factor 18b + 3.
[tex]3(6b+1)(2a-1)[/tex]
This a math question plz help asap with correct answer and explanation will give brainiest
Answer:
Hey there!
This is an isosceles triangle, so if one angle is 44 degrees, (2 times 22), then the remaining angles add to 136 degrees.
136/2=68, so each of the angles are 68 degrees.
Hope this helps :)
Answer:
C = 68
Step-by-step explanation:
Y = 22
Then A = 2y = 2*22 = 44
We know that A + B + C = 180
And B = C since the base angles of an isosceles triangle are the same
44 + C+C = 180
44+2C = 180
2C = 180-44
2C =136
C = 68
what is the value of "c" by completing the square. x^2 - 14x +
Answer:
[tex]\large\boxed{\sf \ \ 49 \ \ }[/tex]
Step-by-step explanation:
Hello,
we need to get the discriminant = 0 meaning
[tex]\Delta = b^2-4ac = 0\\\\<=>14^2-4c=0\\\\<=>c=\dfrac{196}{4}=49[/tex]
And then the square is
[tex]x^2-2\cdot 7\cdot x+7^2=(x-7)^2[/tex]
Hope this helps
PRST is a trapezium. PQR and PTU are
straight lines. Find the values of x and y.
Answer:
x = 56 degrees
y = 62 degrees
Step-by-step explanation:
Given TS || PR
x = 56 ................. corresponding angles TS, PR parallel sides of trapezium.
VSK = x ...................... correspoinding angles given TU || SV
y = 118 - VSK .......... given VSR = 118
= 118 - 56
= 62
130 students choose to attend one of three after school activities: football, tennis or running. There are 58 boys. 49 students choose football, of which 27 are girls. 27 students choose tennis. 24 girls choose running. A student is selected at random. What is the probability this student chose running? Give your answer in its simplest form.
Answer: [tex]\dfrac{27}{65}[/tex]
Step-by-step explanation:
There are 130 students.
There are 58 boys --> 72 girls
A) 49 chose football: 27 are girls --> 22 are boys
B) 72 girls: 24 chose running, 27 chose football --> 21 girls chose tennis
C) 27 students chose tennis: 21 are girls --> 6 are boys.
D) 58 boys: 22 chose football, 6 chose tennis --> 30 boys chose running.
[tex]\large\boxed{\begin{array}{l|cc||c}&\underline{Boys}&\underline{Girls}&\underline{Total}\\Football&22&27&49\\Tennis&6&21&27\\\underline{Running}&\underline{\quad 30\quad}&\underline{\quad 24\quad}&\underline{\quad 54\quad}\\Total&58&72&130\end{array}}[/tex]
Total running = 30 boys + 24 girls = 54
Total students = 130
[tex]\dfrac{\text{Total running}}{\text{Total students}}=\dfrac{54}{130}\quad \rightarrow \large\boxed{\dfrac{27}{65}}[/tex]
In a recent study, volunteers who had 8 hours of sleep were three times more likely to correctly on a math test than were sleep-deprived participants.
1) Identify the sample used in the study.
A) The sample is the math questions in the study.
B) The sample is the responses of the volunteers in the study.
C) The sample is the amount of sleep the volunteers got in the study.
D) The sample is the sleep-deprived participants in the study.
2) What is the sample's population?
A) The population is the collection of all the math questions from the math test.
B) The population is the collection of the responses of all individuals who completed the math test.
C) The population is the collection of all the individuals who completed the math test.
3) Which part of the study represents the descriptive branch of statistics?
1) Identify the sample used in the study: B) The sample is the responses of the volunteers in the study
2) What is the sample's population: B) The population is collected of the response of all individuals who completed the math test
3) Which part of the study represents the descriptive branch of statistics:
individuals who are not sleep deprived will be more likely to answer math questions correctly than individuals who are sleep deprived.
hope i helpd
-lvr
PLEASE HELP!! ASAP
The two square pyramids are similar. The side length of the smaller pyramid is 3/4 the side length of the larger pyramid. Which fraction represents the ratio of the base area of the smaller pyramid to the base area of the larger pyramid? Answer choices: 9/16 or 16/9