Answer:
The 3 lines are parallel.
Step-by-step explanation:
To draw the lines with the slope of 1/3 choose any point and mark it, then go up 1 square and right 3 squares and mark that point. Draw a line connecting those 2 points. Now choose another point and do the same thing. Then once more. Lines with the same slope are parallel.
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Which of the following sets of interior angle measures can form a triangle?
Select all that apply.
A. 45, 45, 45*
B. 60, 60, 60°
C. 40.50,90°
D. 30.60.90*
E. 90,90°, 45°
F. 90, 90, 90°
pleaseee helppp
As per the angle sum property, the interior angles that form the triangle is option
B. 60, 60, 60°
C. 40.50,90°
D. 30.60.90*
Angle sum property
Angle sum property states that the sum of all the interior angles of the triangle is equal to 180 degrees.
Given,
Here we have the list of interior angles
A. 45, 45, 45*
B. 60, 60, 60°
C. 40.50,90°
D. 30.60.90*
E. 90,90°, 45°
F. 90, 90, 90°
Now, we have to find in which for these angle will form the tringle.
As per the definition of the angle sum property, the sum of all the interior angle of the triangle is 180°.
Based on these we have to verify each of the given interior angles,
A) 45 + 45 + 45 = 135
B. 60 + 60 + 60 = 180
C. 40 + 50 + 90 = 180
D. 30 + 60 + 90 = 180
E. 90 + 90 + 45 = 225
F. 90 + 90 + 90 = 270
Therefore, based on these values we have identified that the options (B), (C), and (D) forms the triangle.
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Lauren bought x boxes of cookies to bring to a party. Each box contains 12 cookies.
She decides to keep two boxes for herself. She brings 60 cookies to the party. Write
an equation that can be used to find the number of boxes, x, Lauren bought.
Answer:
12x-2=60
Step-by-step explanation:
since there are 12 cookies per box, u could multiply it by x boxes, and since she kept 2 you would need to subtract it from your total.
hellllllllllllllllllllllllllllllllllllllp mee please
Answer:
5 1/4 and 5 1/3 (you need to find a common denominator, which is 12)
5 3/12 and 5 4/12 (whatever you multiply the denominator by to get it to 12, you multiply the numerator by as well)
Ryan is 1/12 of a foot shorter than John
your answer is C
Step-by-step explanation:
I hope this helped :)
Step-by-step explanation:
\(\huge\bold\purple{ option\:C \: is\:right\:answer }\)
helpp!!!!! i don’t know the answer
Answer:
option c because w3-20 substute it
Step-by-step explanation:
please mark me as brainlest
give a convincing argument with logical explanations that the contrapositive of a conditional is the same as the converse of the inverse of the conditional.
Answer:
See explanation. (I just sumbitted this exact assignment this morning, and i submitted something very similar to the example below!)
Step-by-step explanation:
The contrapositive of a conditional is the same as the converse of the inverse of the conditional.
The best way to prove/support this statement is to create an example. You should start by creating a conditional; you can then form the conditional's converse, inverse, and contrapositive. Here is an example:
Conditional: If C, then D. (starting statement)
Converse: If D, then C. (conditional reversed)
Inverse: If not C, then not D. (opposite of the conditional)
Contrapositive: If not D, then not C. (reversed opposite of the conditional)
Based on the information from the example you gave, you can conclude:
The converse of the inverse: If not D, then not C. (reversed opposite of the conditional)
Because: The converse is the conditional reversed (If D, then C). The inverse of the converse, in this case, would then make it the opposite (If not D, then not C).
I have not yet received a grade on this assignment, but I know the information is correct; the amount of explanation you need to give really depends on how your teacher grades. Personally, I just submitted an example (similar to the one above) that was color-coded to help show the different parts of each statement.
I hope this helps! :)
Write a sine function that has a midline of, y=5, an amplitude of 4 and a period of 2.
Answer:
y = 4 sin(π x) + 5
Step-by-step explanation:
A sine function with a midline of y=5, an amplitude of 4, and a period of 2 can be written in the following form:
y = A sin(2π/ x) +
where A is the amplitude, is the period, is the vertical shift (midline), and x is the independent variable (usually time).
Substituting the given values, we get:
y = 4 sin(2π/2 x) + 5
Simplifying this expression, we get:
y = 4 sin(π x) + 5
Therefore, the sine function with the desired characteristics is:
y = 4 sin(π x) + 5
A spinner with 10 equal sized slices has 4 yellow slices, 3 red, and 3 blue slices. Kala spun the dial 1000 times and got the following results.
Kala spun the spinner 1000 times and got the following results:
- Yellow: 400 times
- Red: 300 times
- Blue: 300 times
1. Calculate the amount of sales tax:
- The item costs $350 before tax.
- The sales tax rate is 14%.
- To find the sales tax amount, multiply the cost of the item by the tax rate:
Sales tax = $350 * 0.14 = $49.
2. Determine the total cost of the item including tax:
- Add the sales tax amount to the original cost of the item:
Total cost = $350 + $49 = $399.
3. Analyze the spinner results:
- The spinner has 10 equal-sized slices.
- There are 4 yellow slices, 3 red slices, and 3 blue slices.
- Kala spun the dial 1000 times.
4. Calculate the frequency of each color:
- Yellow: Kala got 400 yellow results out of 1000 spins.
- Red: Kala got 300 red results out of 1000 spins.
- Blue: Kala got 300 blue results out of 1000 spins.
5. Calculate the probability of landing on each color:
- Yellow: Probability = Frequency of yellow / Total spins = 400 / 1000 = 0.4.
- Red: Probability = Frequency of red / Total spins = 300 / 1000 = 0.3.
- Blue: Probability = Frequency of blue / Total spins = 300 / 1000 = 0.3.
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Points A, B, C, and D lie on circle M. Line segment BD is
a diameter. The measure of arc CD equals the measure
of arc DA.
M
D
B
A
D
What is the measure of angle ADM?
O22.5°
30.0⁰
45.0°
67.5°
The measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.
To find the measure of angle ADM, we need to consider that angle ADM is an inscribed angle and its measure is half the measure of the intercepted arc AD.
Given that the measure of arc CD equals the measure of arc DA, it means that these arcs are congruent.
Therefore, the intercepted arcs AD and CD have equal measures.
Since angle ADM is an inscribed angle intercepting arc AD, the measure of angle ADM is half the measure of arc AD.
Therefore, the measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.
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Write these numbers in standard form 10340000000
Answer:
10340000000 in standard form is
1.034 × 10^10Hope this helps you
PLS NEED HELP! 40 point reward if correct. with brainiest!
I need this done before around 6 pm 5/13/2022 in western time (USA)
Answer:
Number 1 could be -x.
I don't know the answer to number 2.
Number 3 is the same as 1.
Step-by-step explanation:
sorry. i probably would know the answer if i remembered.
NEED ASAP BEFORE MARCH 11
The measure of one small angles of a right triangle is 45 less than twice the measure of the other small angle. Find the measure of both angles
Answer:
x + x - 45 = 90
2x - 45 = 90
2x = 135
x = 67.5, so x - 45 = 22.5
The other two angles measure 22.5° and 67.5°.
Two trains, X and Y, started simultaneously from opposite ends of a 100-mile route and traveled toward each other on parallel tracks. Train X, traveling at a constant rate, completed the 100-mile trip in 5 hours; Train Y, traveling at a constant rate, completed the 100-mile trip in 3 hours. How many miles had Train X traveled when it met Train Y?
(A) 37.5
(B) 40.0
(C) 60.0
(D) 62.5
(E) 77.5
Answer:
(A) 37.5 miles
Step-by-step explanation:
The trains x and y are travelling on tracks starting simultaneously from a from opposite ends of 100 miles roads.
Translate these information into a simple represention to visualize the problem. (Picture below)
■■■■■■■■■■■■■■■■■■■■■■■■■■
First let's calculate the velocity of both trains.
The velocity formula is:
● V = d/t
d is the distance travelled and t is the tile needed to do it.
● V(x) = 100/5 = 20 miles per hour
● V(y) = 100/3 = 33.33.. wich is approximatively 33 after rounding to the nearest unit.
■■■■■■■■■■■■■■■■■■■■■■■■■■
After calculateingboth velocities, Let's find when the trains meet.
First understand what does it mean matematically when both trains meet.
Go back to the representation and notice what happens when the trains meet.
Let t be that moment.
When x and y reches the meeting point at t, the sum of the distances they have travelled is equal to the total distance wich is 100 miles .
We khow that V = d/t so d = V×t
Let's find the expression of the distances both trains travelled when they have met each other.
● d = V(x) × t
● d' = V(y) × t
■■■■■■■■■■■■■■■■■■■■■■■■■■
So the equation will be:
● V(x) × t + V(y) × t = 100
Factor using t
● t (V(x) + V(y) ) = 100
Replace V(x) and V(y) by their values
● t (20+33) = 100
● 53 t = 100
Divide both sides by 53
● 53t /53 = 100/53
● t = 1.88
■■■■■■■■■■■■■■■■■■■■■■■■■
Replace t in the expression of the distance that train x has travelled when meeting y.
● d = V(x) × t
● d = 20 × 1.88
● d = 37.6 wich is approximatively 37.5 miles
For each part below, use the figure to fill in the blank.
Answer:
a) m<F = 70
b) AB = 6
Step-by-step explanation:
a)
Since this is an isoceles triangle, the base angles are equal so:
2x + 40 = 180
2x = 140
x = 70
b)
Since all of the angles are equal, this is an equilateral triangle. This also makes all of the sides equal and the same.
Gretta is saving for retirement. She deposits $125 each month at 6% annual interest for 35 years. According to her calculations, at the end of 35 years, she should have $178,088.79 in her account. How much of this did Gretta contribute and how much of this is interest?
Answer:
Gretta's Contribution = $52,500
Interest = $125,588.79
Step-by-step explanation:
Gretta contributes $125 each month, for 35 years. Therefore, to find the amount she contributed, we multiply those pieces together (12 months in each year).
125 x 12 x 35 = $52,500
Therefore, over the 35 years, Gretta contributed $52,500.
If there was $178,088.79 in her account, and she contributed $52,500, then the rest is interest.
$178,088.79 − $52,500 = $125,588.79
There was $125,588.79 in interest earned on Gretta's account.
Which equation represents a line that passes through the points (5,-2) and (8,4)?
A. y= -2x*8
B. y= 1/2x-9/2
C. y=x-6
D. y=2x-12
John wishes to choose a combination of two types of cereals for breakfast - Cereal A and Cereal B. A small box (one serving) of Cereal A costs $0.50 and contains 10 units of vitamins, 5 units of minerals, and 15 calories. A small box (one serving) of Cereal B costs $0.40 and contains 5 units of vitamins, 10 units of minerals, and 15 calories. John wants to buy enough boxes to have at least 500 units of vitamins, 600 units of minerals, and 1200 calories. How many boxes of each cereal should he buy to minimize his cost?
Let's assume that John buys x boxes of Cereal A and y boxes of Cereal B. Then, we can write the following system of inequalities based on the nutrient and calorie requirements:
10x + 5y ≥ 500 (minimum 500 units of vitamins)
5x + 10y ≥ 600 (minimum 600 units of minerals)
15x + 15y ≥ 1200 (minimum 1200 calories)
We want to minimize the cost, which is given by:
0.5x + 0.4y
This is a linear programming problem, which we can solve using a graphical method. First, we can rewrite the inequalities as equations:
10x + 5y = 500
5x + 10y = 600
15x + 15y = 1200
Then, we can plot these lines on a graph and shade the feasible region (i.e., the region that satisfies all three inequalities). The feasible region is the area below the lines and to the right of the y-axis.
Next, we can calculate the value of the cost function at each corner point of the feasible region:
Corner point A: (20, 40) -> Cost = 20
Corner point B: (40, 25) -> Cost = 25
Corner point C: (60, 0) -> Cost = 30
Therefore, the minimum cost is $20, which occurs when John buys 20 boxes of Cereal A and 40 boxes of Cereal B.
find the value of angle BAC
Answer:
The value of angle BAC = 75°
Step-by-step explanation:
=> Angle BAC + 105° = 180°
=> Angle BAC = 180° - 105°
=> Angle BAC = 75°
First use appropriate properties of logarithms to rewrite f(x) and then find f’(x)
Answer:
f(x) = 6ln(8) -6ln(x)f'(x) = -6/xStep-by-step explanation:
You want to rewrite f(x) and differentiate it for f(x) = 6·ln(8/x).
Rules of logarithmsThe log of a ratio is the difference of logs:
ln(a/b) = ln(a) -ln(b)
ApplicationUsing this to rewrite f(x), we have ...
f(x) = 6ln(8/x) = 6(ln(8) -ln(x))
f(x) = 6·ln(8) -6·ln(x)
DerivativeThe derivative of the constant is zero, so ...
f'(x) = -6/x
Please help :) this is due today
Answer:
Pretty sure it's 2/3.
100 Points
What is the value of the logarithmic or exponential expression?
Select True or False for each statement
Answer:
True, False, False-------------------------------------------
Let's simplify left sides of each statement and compare with right sides:
\(3^{5log_32}=3^{log_32^5}=3^{log_332}=32 \implies True\)\(2 ln\ e^{1/4}=2*1/4*ln\ e^{}=2*1/4*1=1/2\implies False\)\(e^{2ln e-1}=e^{2*1-1}=e^{2-1}=e^1=e \implies False\)Find the side length, b.
Round to the nearest tenth.
C
a
BL
b
A
C
b = [?]
B = 90°
a = 6
C=7
Answer:
b = 9.2 (Rounded to the nearest tenth)
Step-by-step explanation:
ABC is a right-angled triangle at B.
Then ,according to the Pythagorean theorem:
\(b = \sqrt{a^2 + c^2}\)
\(= \sqrt{6^2 + 7^2}\)
\(= \sqrt{36 + 49}\)
\(= \sqrt{85}\)
\(=9.219544457293\)
Decide whether the data in the table represent a linear function or an exponential function explain how you know
I am giving out 45 points to whoever answers
Answer: B
Step-by-step explanation:
The data in the table represents a linear function
What is a linear function?A linear function is modeled by the following rule:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, the change in y divided by the change in x.
b is the y-intercept, which is the the value of y when the function crosses the x-axis, that is, when x = 0.
Given;
y= 16 8 0 -8 -16
x= 1 2 3 4 5
Here, all the so components in x are multiple of 8
Therefore, data shown will be a linear function.
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given f(x)=2x+1,find f(-5)
Answer:
f(-5) = -9
Step-by-step explanation:
f(x) = 2x + 1
f(-5) = 2(-5) + 1
f(-5) = -10 + 1
f(-5) = -9
A crane has a cable with a breaking strain of 6400 kg
measured to 2 significant figures.
It is used to lift crates which weigh 90 kg measured to the nearest 10 kg.
What is the
greatest number of crates that can safely be lifted
at one time without breaking the cable?
Some working must be shown.
The greatest number of crates that can safely be lifted at one time without breaking the cable is 71.
What is GCF?
The biggest positive integer m that divides both x and y is the GCF of two or more non-zero integers, x, and y. The GCF stands for greatest common factor. In this case, greatest can be changed to highest, and factor to divisor. The highest common factor is often referred to as the biggest common factor, highest common factor, or highest common divisor (GCD). GCF is usually always utilised with fractions, which are frequently employed in daily life. You can obtain the necessary reduced form by determining the GCF of the denominator and numerator of a fraction or ratio.
A crane has a cable with a breaking strain of 6400 kg measured to 2 significant figures. It is used to lift crates which weigh 90 kg measured to the nearest 10 kg.
We need to calculate the greatest number of crates that can safely be lifted at one time without breaking the cable.
According to the question,
It is given that, the breaking strain of the crane is 6,400 kilograms and each crate is 90 kilograms.
Thus, to know the number of crates (n) that can safely lift is equal to the weight of the crane is 6,400 kilograms divided by is 90 kilograms.
thus,
\(n=\frac{weight of the crane}{weight of each crate}\\ \\n=\frac{6400}{90}\)
so, n= 71.111≈71
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Which of the following options has a distance of 12 city blocks? Select three that apply.
Answer:
E
F
D
Step-by-step explanation:
That's what I am sorry if its wrong
Answer:
C, E and F
Step-by-step explanation:
can you write an equation for the function in slope intercept form?
Given the table of the function:
Tank size (gal) Total cost
(x) f(x)
11 22.20
13 25.60
19 35.80
To write an equation for the function in slope intercept form, use the slope intercept form:
y = mx + b
Where m is the slope and b is the y-intercept.
To find the slope, use the formula:
\(m=\frac{y2-y1}{x2-x1}\)Take two points on the table:
(x1, y1) ==> (11, 22.20)
(x2, y2) ==> (13, 25.60)
Input the values into the slope formula and find the slope.
We have:
\(\begin{gathered} m=\frac{25.60-22.20}{13-11} \\ \\ m=\frac{3.4}{2} \\ \\ m=1.7 \end{gathered}\)The slope is 1.7
Substitute 1.7 for m in the slope intercept form:
y = 1.7x + b
To solve for b, substitute 11 for x and 22.30 for y:
y = 1.7x + b
22.20 = 1.7(11) + b
22.20 = 18.7 + b
Substitue 18.7 from both sides:
22.20 - 18.7 = 18.7 - 18.7 + b
3.5 = b
b = 3.5
Thus, the slope intercept form of the function is:
y = 1.7x + 3.5
ANSWER:
y = 1.7x + 3.5
solve for x and y x+1/2 - y+4/11=2 ; x+3/2 + 2y+3/17=5
The value of x and y is 5 , 7
What is an Equation ?An expression consists of variables , constants and mathematical operators , when equated by any other algebraic expression or a constant it becomes an equation.
The equation given in the question is
(x + 1)/2 -(y+4)/11 = 2
(x+3) /2 + (2y+3)/17 = 5
It has to be solved for x and y ,
The simplification of the equation has to be done
and the equation is
11x-2y = 41 -----------1
and
17x +4y = 113 -------------------2
to find the solution elimination method will be followed as
Multiplying equation 1 by 2 and adding the both equations
39x = 195
x = 5
Substituting this value in equation 1
55 -2y = 41
y = 7
The value of x and y is 5 , 7
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Suppose you know that ∠S and ∠Y are complementary, and that m∠S = 4(m∠Y) − 210°. Find m∠Y.
Answer:
angle Y= 60 degrees
Step-by-step explanation:
angle S + angle Y = 90 degrees because they are complementary
Y = 90 - S
angle S = 4(Y)-210
substitute for Y
S = 4(90 - S) - 210
S = 360 - 4S - 210
reduce
5S = 150
S = 30
Y = 90 - 30 = 60
Hello random community i have a question to ask what is 7/8 - 3/4
Answer: 1/8
Step-by-step explanation:
First make the bottom half the same:
3/4*2/2=6/8
We don’t need to change the first portion since they have a common factor
7/8-6/8=1/8