Answer: y=7/4x
Step-by-step explanation:
the slope is 7/4
Step-by-step explanation:
help with what ? what do you need ?
the slope of the line ? the line equation ?
if that is the case :
remember, the slope is the ratio
y coordinate difference / x coordinate difference
when going from one point to another on the line.
for that I always recommend to find points with integer coordinates.
we find e.g.
(0, 0) and (12, 21)
going from (0, 0) to (12, 21)
x changes by 12 (from 0 to 12).
y changes by 21 (from 0 to 21).
so, the slope is
+21/+12 = 21/12 = 7/4
for the line equation remember the general form :
y = ax + b
a being the slope, b being the y-intercept (the y value when x = 0).
and so, the line equation is
y = (7/4)x + 0 = (7/4)x = 7x/4
since the line goes through (0, 0), this gives us the y-value, when x = 0 : also 0.
Find the value of x
8,
9,
7,
10
The value of x in this problem, considering the intersecting chords, is given as follows:
x = 10.
How to obtain the value of x?A chord of a circle is a straight line segment that connects two points on the circle, that is, it is a line segment whose endpoints are on the circumference of a circle.
When two chords intersect each other, then the products of the measures of the segments of the chords are equal.
Hence the value of x is obtained as follows:
12x = 15 x 8
12x = 120
x = 10.
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You invested $4000 between two accounts paying 3% and 4% annual interest. If the total interest earned for the year was $130, how much was invested at each rate?
You invested $3000 at 3% annual interest rate, and the remaining amount of $4000 - $3000 = $1000 was invested at 4% annual interest rate.
Let's assume you invested an amount, x, at 3% annual interest rate. This means the amount invested at 4% annual interest rate would be $4000 - x.
To calculate the interest earned from the investment at 3%, we multiply x by 3% (0.03). Similarly, the interest earned from the investment at 4% is calculated by multiplying ($4000 - x) by 4% (0.04).
According to the given information, the total interest earned from both investments is $130. So we can set up the equation:
0.03x + 0.04($4000 - x) = $130
Simplifying the equation:
0.03x + 0.04($4000 - x) = $130
0.03x + $160 - 0.04x = $130
-0.01x = $130 - $160
-0.01x = -$30
x = -$30 / -0.01
x = $3000
Therefore, you invested $3000 at 3% annual interest rate, and the remaining amount of $4000 - $3000 = $1000 was invested at 4% annual interest rate.
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Can anyone help with this problem
Answer:
They are both 60 thats all I know im sorry.
Step-by-step explanation:
The answer is Option C - They both use same amount of paper!
Which graph shows u + v for the given vectors u and v?
Answer:
The answer is A
Step-by-step explanation:
When you move v's tail to u's head, you see that the vectors align up.
The graph shows (u + v) for the given vectors u and v will be Graph A.
What is vector ?A vector is an object that has both a magnitude and a direction. Magnitude defines the size of the vector. It is represented by a line with an arrow, where the length of the line is the magnitude of the vector and the arrow shows the direction.
We have,
Four graphs and we have to tell which is the correct graph for (u + v).
So,
To add two vectors, add the corresponding components.
i.e. The sum of u and v vector = ( u₁ + v₁, u₂ + v₂)
i.e.
Let u = (u₁, u₂) and
v = (v₁, v₂)
Now,
(u + v) = ( u₁ + v₁, u₂ + v₂)
So,
From Graph A,
We have,
u = (1, 4) and v = (2, -2)
i.e.
u₁ = 1,
u₂ = 4,
v₁ = 2,
v₂ = -2
So,
Using the addition method of vector,
i.e.
(u + v) = ( u₁ + v₁, u₂ + v₂)
Substituting values,
(u + v) = [( 1 + 2), (4 + (-2))]
We get,
(u + v) = (3, 2)
So,
The graph A represents the correct points of (u +v).
Hence, we can say that the graph shows (u + v) for the given vectors u and v will be Graph A.
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Using ratios in right triangles
Answer:
Your answer should be A) 0.34.
Step-by-step explanation:
Look at the other 3 triangle above and compare it to the below triangle that only has 70°.
One of the triangles is similar to the triangle below that has 70°.
Using the Side Length value we get 3.4/10 = 0.34.
if CORRECT answerS then good review
Answer:
number 8 is D) 78.7 in.
and number 9 is C) 63°
hope these are the answers you are looking for
Step-by-step explanation:
3,4,4,5,5,6,6,6,6,7,9,12,14,15 Min: Q1: Med: Q3: Max:
Answer:
Median ( Q2) = 6
Q1 ( lower quartile) = 4.5
Q3 ( upper quaartile) = 10.5
Step-by-step explanation:
3,4,4,5,5,6, 6,6 ,6,7,9,12,14,15
6,6 is the median but we only need I median. So 6 + 6 = 12, 12 divided 2 = 6.
3,4,4,5,5,6, is the Q1 ( lower quartile ) and median of Q1, is 4,5. 4 + 5 = 9. 9 divided 2 = 4.5
6,7,9,12,14,15 is Q3 ( upper quartile) 9,12 is median but we only need one. So 9 + 12 =21. 21 divided 2 = 10.5
What is the next value?
2 3 E 4 5 I 6 8
options: O 8 M N
Answer:
The correct answer is a.
Step-by-step explanation:
The sequence is: 2 3 E 4 5 I 6 8 We can notice that there are numbers and letters alternating in the sequence. The numbers are increasing, and the letters seem to be vowels in alphabetical order. So, the next value should be a letter (vowel) after I, which is O. The correct answer is a.
Parametric Functions
Answer:
Step-by-step explanation:
it think it 23 becasue u add
1 divide it by 2
Enter the number that belong in the green box please help
Step-by-step explanation:
Since we have three sides and trying to find an angle, use Law of Cosines
\(c = \sqrt{ {a}^{2} + {b}^{2} - 2ab \times \cos(d) } \)
where c is
Solving for the angle d.
\( \cos {}^{ -1 } (( \frac{ {c}^{2} - {b}^{2} - {a}^{2} }{ - 2ab} ) = d\)
where d is in degrees
The angle d is the opposite of the side c.
It does not matter what a and b is(they can be either 4 or 5)
let
c=7
a=4
b=5
\( \cos {}^{ - 1} ( \frac{ - 1}{5} ) = d\)
This angle must be within 0 and 180
We get
\(d = 101.54\)
Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g.
Answer:
Step-by-step explanation:
Number patterns 2 3 4 12 13 14 22 23 24 25 26 27 28 29 32 33 34 35 36 37 38 39 42 43 44 45 46 47 48 49 52 53 54 55 56 57 58 59 62 63 64 65 66 67 68 69 72 73 74 75 76 77 78 79 84 82 83 85 86 90 87 88 89 94 92 93 95 96 97 98 99 100 1 11 21 31 41 51 61 71 81 91 5 6 7 8 9 10 15 16 17 18 19 20 30 40 50 60 70 80 2. Start at 2.. Count by 2s. Colour these boxes yellow. 3. Start at 5. Count by 5s. Colour these boxes green. 4. Start at 1. Count by 10s. Colour these boxes red. 5.Count up to 100, by 1s, 2s, 5s, 10s, and 25s. Ask a friend to listen to you. Count forwards and backware Learning Outcome: skip count forward and backward by 2s. 5s. 10s. 25s. and 100s to 1000.
Answer:
Step-by-step explanation:
4n-2n m4 I need help with this
Please help me with this question
answer this please!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
200
Step-by-step explanation:
\(a^{2}\) + \(b^{2}\) = \(c^{2}\)
\(120^{2}\) + \(160^{2}\) = \(c^{2}\)
14400 + 25600 = \(c^{2}\)
40000 = \(c^{2}\)
\(\sqrt{40000}\) = \(\sqrt{c^{2} }\)
200 = c
Jesus love you.
What is the domain of the function y=√√x+6-7?
x>|-7
x>|-6
x>|6
x>|7
The domain of the function \(y=\sqrt{(x+6)}-7\) is given by (B) that is \(x \geq-6\)
Domain of a function refers to the values or range of input values of a function for which the function exists in real.
In this problem the given function is
\(y=\sqrt{(x+6)}-7\)
Now the above function exists if the expression under square root is greater or equal to 0, since negative number cannot be square rooted in real, that gives imaginary number.
So, for existence of function it is must to
\(x+6\geq0\)
\(x\geq-6\)
Hence the domain of the given function is given by \(x\geq-6\)
Hence the correct option is (B).
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I fr just need help bro ..
Answer:
the lines are //
thales
15/45=x/(x+10)
15(x+10)=45x
15x+150=45x
15x-45x=-150
30x=150
x=150/30 = 5
Step-by-step explanation:
Answer:
x = 5
Step-by-step explanation:
Here the the line intersecting the two sides of the triangle is parallel to third side . So here we can use Thale's Theorem , according to which, If a line is drawn parallel to one side of a triangle intersecting the other two sides in distinct points, then the other two sides are divided in the same ratio .
So , here ,
30/45 = 10/(10+x)
Simplify,
2/3 = 10/(10+x)
Cross multiply,
2(10+x) = 3*10
20 + 2x = 30
2x = 30 - 20
2x = 10
x = 5
Hence the value of x is 5 .
Is y=2.75x proportional
Explanation
A function is proportional when the output is equal to the input multiplied by a constant.
\(\begin{gathered} y=kx \\ \text{where k is a constant} \end{gathered}\)then, identify
\(undefined\)how would someone use the cross product property on an equation with 3 different values instead of two? I provided an example image
Using the cross product for the proff of Pythagoras theorem, the correct step is
By the cross product property, AB² = BC multiplied by BD
What is cross product propertyThe cross product property is typically used to solve equations with two values, where the product of the extremes (the outer terms) is equal to the product of the means (the inner terms).
For the similar triangles, the ratio is as follows
BD / BA = BA / BC
BA² = BD * BC
and AB = BA, hence
BA² = BD * BC
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. Which table does NOT show y as a function of x?
I 름
4
1
A.
7
Х
10
14
9
9
11
y
18
17
15
16
110
90
B.
14
х
100
80
100
y
-0.2
1.0
-0.9
8.1
-1.3
4.4
C.
0.6
-3.7
Х
-0.2
5.8
y
29
24
21
-27
2.5
2.5
D.
- 24
Х
2.7
2.8
2.7
Y У
o
7.682/0.072
please help long division
The value of 7.682/0.072 using long division is 106 25/36
What is division?Division is a mathematical operation which involves the sharing of an amount into equal-sized groups.
By solving this, we need to make both the numerator and denominator a whole number by multiplying all by 1000
= (7.682×1000)/0.072 × 1000
= 7682/72
divide through by 2
= 3841/36
Now there is no common factor between the numerator and denominator,
We therefore find the number of 36 in 3841
= 106 remainder 25
therefore 7.682/0.072
= 106 25/36
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whole numbers are ______integers.
Answer:
ALWAYS
Step-by-step explanation:
A particle moves in the xy plane so that at any time
,
x=3sint
and
.y=t-4cost+1
What is the vertical component of the particle's location when it's horizontal component is 2?
Responses
y = -1.05
y = -1.05
y = -2.25
y = -2.25
y = -1.25
y = -1.25
y = 0.73
The vertical component of the particle's location, when its horizontal component is 2, is:
y = -1.25
How to solveTo find the vertical component of the particle's location when its horizontal component is 2, we need to first find the value of t when x = 2.
Given the equation:
x = 3sin(t)
Substitute x with 2:
2 = 3sin(t)
Now, isolate t by dividing both sides by 3:
sin(t) = 2/3
Take the inverse sine (arcsin) of both sides:
t = arcsin(2/3)
Now, plug the value of t back into the y equation:
y = t - 4cos(t) + 1
y = arcsin(2/3) - 4cos(arcsin(2/3)) + 1
Using a calculator to find the approximate value of y, we get:
y ≈ -1.25
Therefore, the vertical component of the particle's location when its horizontal component is 2 is:
y = -1.25
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Which symbol can be used to indicate the pressure at which a chemical reaction is carried out?
The symbol that can be used to indicate the pressure at which a chemical reaction is carried out is the letter "P".
What is the pressure?In a chemical reaction, the pressure corresponds to the force that a gas is able to reach on the wall of a container, influencing the system as a whole, such as its balance.
In chemical experiments, pressure can be measured and controlled under various conditions, through certain academic approaches and with the use of devices such as regulators and manometers.
Therefore, the letter P is the symbol that represents the pressure in a chemical reaction, written in an equation next to the products, in various measures such as atm and kPa.
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27,813 students took the ACET this year. If only 2,836 students were admitted into the Ateneo among those students, what is the Ateneo’s acceptance rate? a. 7.5% b. 10.2% c. 13.4% d. 9.0%
If only 2,836 students were admitted into the Ateneo among 27,813 students, who took the ACET this year, the Ateneo’s acceptance rate is b. 10.2%.
How the rate is determined:The rate is the ratio of one value, expression, measurement, or quantity compared to another.
The rate represents the quotient of the numerator and the denominator.
The rate is expressed as a percentage by multiplication with 100.
The number of students who took the ACET this year = 27,813
The number of students who were admitted into the Ateneo = 2,836
The percentage or rate admitted = 10.19667% (2,836 ÷ 27,813 × 100)
= 10.2%
Thus, we can conclude that the acceptance rate or percentage is Option B.
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Without using the P value chart, how would you find the P value using Excel?
To find the P value using Excel, you can use the T.TEST function. The T.TEST function calculates the probability of a given test statistic, such as the T-value, assuming that the null hypothesis is true. The function takes several arguments, including the range of values for the sample data, the hypothesized mean of the population, the type of test (two-tailed or one-tailed), and the significance level.
Here is an example of how to use the T.TEST function in Excel:
Enter your sample data into a column in Excel.
In an empty cell, enter the formula =T.TEST(data range, hypothesized mean, type of test, significance level).
Replace "data range" with the range of cells containing your sample data, "hypothesized mean" with the mean of the population, "type of test" with 1 for a one-tailed test or 2 for a two-tailed test, and "significance level" with the level of significance.
Press enter, the P-value will be returned.
For example, if your sample data is in cells A1:A10, the hypothesized mean is 0, the type of test is two-tailed, and the significance level is 0.05, the formula would be =T.TEST(A1:A10, 0, 2, 0.05)
The P-value returned will be the probability that the sample data came from a population with a mean equal to the hypothesized mean, assuming that the null hypothesis is true.
Find the slope from the table.
Answer:
m=0
Step-by-step explanation:
the slope is calculated using two points on the line and the formula
m = (y2 - y1) ÷ (x2 - x1)
where
x1 and y1 are the coordinates of point 1
x2 and y2 are the coordinates of point 2
for example, you can take
point 1 = (x1;y1) = (-2;3)
point 2 = (x2;y2) = (-1;3)
then your slope is
m = (3 - 3) ÷ (-1 - (-2)) = 0
notice that x1 is always at the left of x2 on the x axis
and it makes sense that your slope is 0 because for each x your y is the same
Finding Missing Angles in a Polygon
Answer:
120
61+97+82=240 There are 360 degrees in a rectangle. 360-240 is 120
Help!!!!!!! solve the inequality
Answer:
25≥ w
i dont have the inquality sign
Step-by-step explanation:
multiply both sides by 5/4
What are the coordinates of the image of vertex F after a reflection across the line y = –x?
(–1, –3)
(3, –1)
(1, 3)
(–3, 1)
Answer:(-3,1)
Step-by-step explanation:
Answer:
D. (-3,1)
Step-by-step explanation: