Answer:
Step-by-step explanation:
X+125=180 (angles on a straight line add to 180 (supplementary) ).
so x=55°
HELPPPP HURRY PLSS………………..
Answer:
C is your answer
Step-by-step explanation:
in my opinion, i think it would be the mode.
2.3. Ntando can either walk to school at 5 km/h or ride his bicycle at 15 km/h. If he rides his bicycle, it takes him 10 minutes to get to school. 2.3.1. How long will it take him if he walks to school?
Answer:
30 minutes
Step-by-step explanation:
Use ratios. This is an inverse function, as speeding up makes the time traveling go down. So, when dividing the speed by 3 (done so 15 can get to 5), we multiply the time traveled by 3.
10 minutes * 3 = 30 minutes
The null hypothesis is rejected whenever:A. past studies prove it wrong. B. there is a low probability that the obtained results could be due to random error.C. the independent variable fails to have an effect on the dependent variable.D. the researcher is convinced that the variable is ineffective in causing changes in behavior.
The null hypothesis is rejected whenever "there is a low probability that the obtained results could be due to random error." The correct answer is Option B.
What is the null hypothesis?The null hypothesis is a statistical hypothesis used to test the difference between two sample data groups. The null hypothesis is the hypothesis that the sample statistics are not significantly different. Any significant differences between the sample data are seen as supporting the alternative hypothesis.
A null hypothesis is often expressed as "no difference," "no correlation," or "no significant effect." For example, the null hypothesis for an experiment comparing two groups of people could be "there is no difference between the two groups." When the null hypothesis is rejected, it means that the results of the experiment are statistically significant, and the alternative hypothesis is supported.
Therefore, the null hypothesis is rejected whenever there is a low probability that the obtained results could be due to random error.
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Arrange the steps to find an inverse of a modulo m for each of the following pairs of relatively prime integers using the Euclidean algorithm in the order. a = 2, m=17 Rank the options below. The ged in terms of 2 and 17 is written as 1 = 17-8.2. By using the Euclidean algorithm, 17 = 8.2 +1. The coefficient of 2 is same as 9 modulo 17. 9 is an inverse of 2 modulo 17. The Bézout coefficients of 17 and 2 are 1 and 8, respectively. a = 34, m= 89 Rank the options below. The steps to find ged(34,89) = 1 using the Euclidean algorithm is as follows. 89 = 2.34 + 21 34 = 21 + 13 21 = 13 + 8 13 = 8 + 5 8 = 5 + 3 5 = 3 + 2 3 = 2+1 Let 34s + 890= 1, where sis the inverse of 34 modulo 89. $=-34, so an inverse of 34 modulo 89 is -34, which can also be written as 55. The ged in terms of 34 and 89 is written as 1 = 3 - 2 = 3-(5-3) = 2.3-5 = 2. (8-5)- 5 = 2.8-3.5 = 2.8-3. (13-8)= 5.8-3.13 = 5. (21-13)-3.13 = 5.21-8. 13 = 5.21-8. (34-21) = 1321-8.34 = 13. (89-2.34) - 8.34 = 13.89-34. 34 a = 200, m= 1001 Rank the options below. By using the Euclidean algorithm, 1001 = 5.200 +1. Let 200s + 1001t= 1, where sis an inverse of 200 modulo 1001. The ged in terms of 1001 and 200 is written as 1 = 1001 - 5.200. s=-5, so an inverse of 200 modulo 1001 is -5.
We have that, using Euclid's algorithm, we find the inverse of 200 modules 1001 is -5 (or 1001+5).
How do we find the inverse of a modulus?To find the inverse of a module m using Euclid's algorithm, the steps are as follows:
1. Calculate the greatest common divisor (GCD) of a and m using the Euclidean algorithm.
2. Let a = GCD * s + m*t, where s is the inverse of a module m.
3. The GCD in terms of a and my is written as 1 = m-s*a.
4. Find s = -a, so the inverse of a module m is -a (or m+s).
For example, a = 2, m=17, so GCD = 1 = 17-8*2 and the inverse of 2 modulo 17 is -8 (or 17+8). Similarly, for a = 34, m= 89, the GCD = 1 = 89-34*2 and the inverse of 34 modulo 89 is -34 (or 89+34). Finally, for a = 200, m= 1001, the GCD = 1 = 1001-5*200 and the inverse of 200 modulo 1001 is -5 (or 1001+5).
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What is 252 divided by 9
Answer:
28 is the ans of 252÷9here we go
252 divided by 9 equals 28.
To divide 252 by 9, you can use long division, which involves dividing the number in steps until there is no remainder left.
Here's the step-by-step process:
Write down the dividend (252) and the divisor (9), and set up the long division format:
9 | 252
Look at the leftmost digit of the dividend (2) and see if it's divisible by the divisor (9). Since 2 is less than 9, we bring down the next digit (5) to the right of 2, making it 25.
9 | 252
2
Divide the new number (25) by the divisor (9). The result is 2, which is the first digit of the quotient. Multiply this result by the divisor (2 x 9 = 18) and write it below the 25, then subtract it from 25:
9 | 252
25
18
--
7
Bring down the next digit (2) from the dividend to the right of the remainder (7), making it 72. Now, divide 72 by 9, which gives you 8. Multiply this result by the divisor (8 x 9 = 72) and write it below the 72, then subtract it from 72:
9 | 252
25
18
--
72
72
---
0
There is no remainder left, and the dividend has been completely divided. The quotient is the result of the division, which is 28.
Therefore, 252 divided by 9 equals 28.
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I need help! I need the graph drawn and the steps to how I got the answer but I don’t know it! Please help me!
Answer:
25 computers per hour
Step-by-step explanation:
look ate the point 2 hours corresponding to 50 computers
50/2 = 25/1 or 25 computers per hour
a cylindrical glass is half full of lemonade. the ratio of lemon juice to water in the lemonade is $1:11$. if the glass is $6$ inches tall and has a diameter of $2$ inches, what is the volume of lemon juice in the glass? express your answer as a decimal to the nearest hundredth.
The volume of lemon juice in the glass is 0.38 cubic inches.
Explanation:
Given,
Let the volume of the lemonade in the glass be V cubic inches
Therefore, the volume of lemon juice in the lemonade is [tex]$\frac{1}{12}$[/tex] V cubic inches
Volume of water in the lemonade is [tex]$\frac{11}{12}$[/tex] V cubic inches
The volume of the cylindrical glass is given by:
[tex]$V_{\text{cylindrical glass}} = \pi r^2h$[/tex]
Here,
Radius r = 1 inch
Height h = 6 inches
[tex]$V_{\text{cylindrical glass}} = \pi r^2h = \pi (1)^2(6) = 6 \pi$[/tex]
Since the glass is half full of lemonade, the volume of lemonade in the glass is:
[tex]$V_{\text{lemonade}} = \frac{1}{2}V_{\text{cylindrical glass}} = \frac{1}{2} 6 \pi = 3\pi$[/tex]
The volume of lemon juice in the lemonade is given by:
[tex]$V_{\text{lemon juice}} = \frac{1}{12}V$[/tex]
Therefore
[tex]$V_{\text{lemon juice}} = \frac{1}{12}3\pi = \frac{1}{4}\pi = 0.7854$[/tex] cubic inches
Hence, the volume of lemon juice in the glass is 0.38 cubic inches (rounded to the nearest hundredth).
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Solve the inequality for u.
48<5u+8
Simplify the answer as much as possible
Answer:
U=8
Step-by-step explanation:
48<5U+8
-5U<8-48
-5U<-40
-5U/-5<-40/+5
U>8
NEED HELP ASAP
This composite figure is created by placing a sector of a circle on a rectangle. What is the area of this composite figure? Show you work
Thus, the total area of composite figure (circle on a rectangle) is found as 29.91 m².
Explain about the sector of the circle?A sector is a portion of the circle that is formed by two distinct radii. somewhat of like a slice of pie or pizza. A line segment known as a chord connects two points on a circle. A unique kind of chord called the diameter passes through the circle's focal point.Area of sector of the circle = (Ф/360°) *π*r²
r is the radius = 5.5 m
π = 3.14
Area = (30/360°) *3.14 * 5.5²
Area = 7.91 m²
Area of rectangle = width × length
Area = 4 × 5.5 = 22 m²
Total area of composite figure = area of the circle's sector + area of the rectangle
Total area of composite figure = 7.91 m² + 22 m² = 29.91 m²
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The speed s (in miles per hour) of a car can be given by s = √(30fg), where fis the
coefficient of friction and d is the stopping distance (in feet). The table shows the
coefficient of friction for different surfaces. You are driving 35 miles per hour on an
icy road when a deer jumps in front of your car. How far away must you begin to
brake to avoid hitting the deer? Round your answer to the nearest whole integer. NO
UNITS NEEDED
Answer:
Step-by-step explanation:
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Answer:
s= 6
Step-by-step explanation:
The speed s (in miles per hour) of a car can be given by s = √(30fg), where fis the
coefficient of friction and d is the stopping distance (in feet). The table shows the
coefficient of friction for different surfaces. You are driving 35 miles per hour on an
icy road when a deer jumps in front of your car. How far away must you begin to
brake to avoid hitting the deer? Round your answer to the nearest whole integer. NO
UNITS NEEDED
please help with question 6
Answer:
a = -13b = 6f(x) = (2x -1)(x -2)(x +3)Step-by-step explanation:
Given f(x) = 2x³ +x² +ax +b has a factor (x -2) and a remainder of 18 when divided by (x -1), you want to know a, b, and the factored form of f(x).
RemainderIf (x -2) is a factor, then the value of f(2) is zero:
f(2) = 2·2³ +2² +2a +b = 0
2a +b = -20 . . . . . . . subtract 20
If the remainder from division by (x +1) is 18, then f(-1) is 18:
f(-1) = 2·(-1)³ +(-1)² +a·(-1) +b = 18
-a +b = 19 . . . . . . . . . . add 1
Solve for a, bSubtracting the second equation from the first gives ...
(2a +b) -(-a +b) = (-20) -(19)
3a = -39
a = -13
b = 19 +a = 6
The values of 'a' and 'b' are -13 and 6, respectively.
Factored formWe can find the quadratic factor using synthetic division, given one root is x=2. The tableau for that is ...
[tex]\begin{array}{c|cccc}2&2&1&-13&6\\&&4&10&-6\\\cline{1-5}&2&5&-3&0\end{array}[/tex]
The remainder is 0, as expected, and the quadratic factor of f(x) is 2x² +5x -3. Now, we know f(x) = (x -2)(2x² +5x -3).
To factor the quadratic, we need to find factors of (2)(-3) = -6 that have a sum of 5. Those would be 6 and -1. This lets us factor the quadratic as ...
2x² +5x -3 = (2x +6)(2x -1)/2 = (x +3)(2x -1)
The factored form of f(x) is ...
f(x) = (2x -1)(x -2)(x +3)
3. What is the value of x?
x + 5
X
05
02.5
07.5
O 10
x-2
x + 1
(1 point)
The value of x is equal to; A. 5.
What is the basic proportionality theorem?In Mathematics, the basic proportionality theorem states that when any of the two (2) sides of a triangle is intersected by a straight line which is parallel to the third (3rd) side of the triangle, then, the two (2) sides that are intersected would be divided proportionally and in the same ratio.
By applying the basic proportionality theorem to the given triangle, we have the following:
x/(x + 5) = (x - 2)/(x + 1)
By cross-multiplying, we have the following:
x(x + 1) = (x - 2)(x + 5)
x² + x = x² + 5x - 2x - 10
By rearranging and collecting like-terms, the value of x is given by:
2x - 10 = 0
2x = 10
x = 10/2
x = 5.
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pls answert this within 1 hour or else i will be DOOMED
In the fractions prompts given, the correct output are:
(1 ÷2) ÷ 4 = 1/8(1 ÷5) ÷ 2 = 1/10(1 ÷3) ÷ 5 = 1/15(1 ÷4) ÷ 4 = 1/16The solution to the problem for (1/2) ÷ 3 is given below.What is a fraction?A fraction represents a part of a whole. It consists of a numerator and a denominator, with the numerator indicating the number of parts and the denominator indicating the total number of parts.
The calculations are given as follows;
1 )
= (1/2) x (1/4) [dividing by a number is the same as multiplying by its reciprocal]
= 1/8
2) (1/5) ÷ 2
= (1/5) x (1/2)
= 1/10
3)
(1/3) ÷ 5
= (1/3) x (1/5)
= 1/15
4) (1/4) ÷ 4
= (1/4) x (1/4)
= 1/16
5) One day, Amy baked a cake and wanted to divide it equally among 3 of her friends. She realized she only had half a cake left, so she decided to divide it into equal parts. Each friend received 1/6 of a cake. To check her calculation, she multiplied 1/6 by 3 and got 1/2. Thus, (1/2) ÷ 3 = 1/6, since dividing by 3 is the same as multiplying by 1/3.
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Shanika bought 1 Notebook and 5 pencils at a cost of $10.00. Jules paid $14.90 for 1 Notebook and 12 pencils. How much did Jules pay for 1 pencil if both pay the similar prices?
ANSWER
Jules paid $0.70 for one pencil
STEPS
Cost of One Pencil.
Let's assume the cost of one notebook be x and one pencil be y.
According to the given information,
Shanika bought 1 notebook and 5 pencils at a cost of $10.00. Therefore,
1x + 5y = 10 --- equation 1
Jules paid $14.90 for 1 Notebook and 12 pencils. Therefore,
1x + 12y = 14.9 --- equation 2
We need to find the cost of one pencil, i.e., y.
We can solve the above equations simultaneously to find the value of y.
Multiplying equation 1 by 12 and equation 2 by 5, we get:
12x + 60y = 120 --- equation 3
5x + 60y = 74.5 --- equation 4
Subtracting equation 4 from equation 3, we get:
7x = 45.5
x = 6.5
Substituting the value of x in equation 1, we get:
1(6.5) + 5y = 10
5y = 3.5
y = 0.7
Therefore, Jules paid $0.70 for one pencil.
ChatGPT
Answer:
Jules pay:
$0.7
Step-by-step explanation:
1n + 5p = 10 Eq. 1
1n + 12p = 14.9 Eq. 2
n = cost of one notebook
p = cost of one pencil
From Eq. 1
n = 10 - 5p Eq. 3
From Eq. 2
n = 14.9 - 12p Eq. 4
Equalizing Eq. 3 and Eq. 4:
10 - 5p = 14.9 - 12p
12p - 5p = 14.9 - 10
7p = 4.9
p = 4.9 / 7
p = 0.7
From Eq. 3:
n = 10 - 5p
n = 10 - 5*0.7
n = 10 - 3.5
n = 6.5
Check:
From Eq. 2:
n + 12p = 14.9
6.5 + 12*0.7 = 14.9
6.5 + 8.4 = 14.9
Then:
1 pencil = $0.7
a quality-conscious disk manufacturer wishes to know the fraction of disks his company makes which are defective. step 2 of 2 : suppose a sample of 1015 1015 floppy disks is drawn. of these disks, 904 904 were not defective. using the data, construct the 95% 95 % confidence interval for the population proportion of disks which are defective. round your answers to three decimal places.
Therefore, the 95% confidence interval for the population proportion of disks that are defective is (0.8357, 0.9475). This means that there is a 95% probability that the true population proportion of disks that are defective is between 0.8357 and 0.9475.
The quality-conscious disk manufacturer can use a 95% confidence interval to estimate the fraction of defective disks made by the company. The 95% confidence interval is calculated using the sample data to construct an interval estimate of the population proportion.
Using the given data, the sample proportion of disks that are not defective is 904/1015 = 0.8915.
The 95% confidence interval for the population proportion of disks that are defective is then given by:
Lower limit = 0.8915 – (1.96 x √(0.8915 x (1- 0.8915)/1015))
= 0.8915 – (1.96 x 0.0285)
= 0.8915 – 0.0558
= 0.8357
Upper limit = 0.8915 + (1.96 x √(0.8915 x (1- 0.8915)/1015))
= 0.8915 + (1.96 x 0.0285)
= 0.8915 + 0.0558
= 0.9475
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the centroid of a triangle is located 12 units from one of the vertices of a triangle. find the length of the median of the triangle drawn from that same vertex
a. 16
b. 18
c. 24
d. 36
e. 48
Length of the median of the triangle is b. 18
How to find the length of the median of a triangle?
Given that the centroid of a triangle is located 12 units from one of the vertices of a triangle. We need to find the length of the median of the triangle drawn from that same vertex.
Let ABC be a triangle.
Let AD be median of the triangle.
Let E be centroid of ΔABC
Length of the median of triangle = AD
AD = Length of AE + Length of ED
But,
AE = 12
ED = x
So,
AD = 12 + x
Since, centroid divides median in 2:1 ratio.
Then,
[tex]12 : x = 2 : 1\\12/x = 2/1\\\\12= 2x\\[/tex]
Divide by 2 each side
[tex]x = 6[/tex]
So, AD = 12 + x = 12 + 6 = 18
Thus, Length of the median of triangle is 18.
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Find The surface area of the composite figure
Answer: It should be 470 cm^2
Step-by-step explanation:
What is the scale factor of the following pair of similar polygons ?
The scale factor of the following pair of similar polygons after the dilation is 0.7
Calculating the scale factor of the similar polygonsGiven
The pair of similar polygons
From the pair of similar polygons, we have the following corresponding side lengths
Pre-image of the polygon = 30
Image of the polygon = 21
The scale factor of the similar polygons is then calculated as
Scale factor = 21/30
Evaluate the quotient
Scale factor = 0.7
Hence, the scale factor is 0.7
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The area of a rectangle is x2 – 6x +8. Find its possible length and breadth:
Answer:
Step-by-step explanation:
To find the possible length and breadth of the rectangle, we need to factor the given expression:
x^2 - 6x + 8 = (x - 4)(x - 2)
Therefore, the length and breadth of the rectangle can be any combination of (x-4) and (x-2).
For example, if we choose (x-4) as the length and (x-2) as the breadth, we have:
Length = x - 4
Breadth = x - 2
Conversely, if we choose (x-2) as the length and (x-4) as the breadth, we have:
Length = x - 2
Breadth = x - 4
So, the possible length and breadth of the rectangle are (x-4) and (x-2), and vice versa.
Answer:(x-4) and (x-2)
Step-by-step explanation:
Solve the inequality 12≥ 73x + 2
10/73 is the value of x in inequality.
What does the word "inequality" mean?
In mathematics, inequalities describe the connection between two values that are not equal. Equal does not imply inequality. The "not equal symbol ()" is typically used to indicate that two values are not equal.
However different inequalities are used to compare the values to determine if they are less than or higher than. The term "inequality" refers to a relationship between two expressions or values that is not equal to one another. Inequality originates from an imbalance, thus.
the inequality 12≥ 73x + 2
= 12 - 2 ≥ 73x
= 10 ≥ 73x
= 10/73 ≥ x
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Suppose Elena has $5 and sells pens for $1.50 each. Her goal is to save $20 to buy a t-shirt. She does not spend any money while she is saving money.
Let p represent the number of pens Elena sells. Write an expression for how much money she saves in total after selling p pens.
Write an equation using your answer from question 1, showing that she saves exactly $20.
Solve the equation you wrote from question 2. What do you notice about your value for p?
What if Elena wants to have some money left over? Write an inequality using your expression from question 1 to show this.
Write down other values for p where Elena would have money left over.
Write an inequality using p, to describe the values of p where she would be able to buy the tshirt and still have money left over.
In conclusion the values of p that satisfy this inequality are p = 11, p = 12, p = 13, etc. The equation showing that Elena saves exactly $20 is:
5 + (1.5)p = 20
Why it is?
The expression for how much money Elena saves after selling p pens is:
Total money saved = 5 + (1.5)p
The equation showing that Elena saves exactly $20 is:
5 + (1.5)p = 20
Solving the equation:
5 + (1.5)p = 20
(1.5)p = 15
p = 10
We notice that the value of p is a whole number, which makes sense since Elena cannot sell a fractional number of pens.
If Elena wants to have some money left over, we can write the inequality:
5 + (1.5)p > 20
Some values for p where Elena would have money left over are p = 11, p = 12, p = 13, etc.
To describe the values of p where Elena would be able to buy the t-shirt and still have money left over, we can write the inequality:
5 + (1.5)p > 20
(1.5)p > 15
p > 10
Therefore, the values of p that satisfy this inequality are p = 11, p = 12, p = 13, etc.
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Solve 2log 12 (-8x)=6
The solution to the logarithmic equation [tex]2log12(-8x) = 6[/tex] is [tex]x = -9/32[/tex] .
What are logarithmic properties ?
Logarithmic properties are the rules that govern the behavior of logarithmic functions. These properties are important in simplifying logarithmic expressions and solving logarithmic equations. Some of the commonly used logarithmic properties include:
Product property: [tex]logb(xy) = logb(x) + logb(y)[/tex]
This property allows us to simplify the logarithm of a product of two numbers into the sum of logarithms of the individual numbers.
Quotient property: [tex]logb(x/y) = logb(x) - logb(y)[/tex]
This property allows us to simplify the logarithm of a quotient of two numbers into the difference of logarithms of the individual numbers.
Power property:[tex]logb(x^y) = ylogb(x)[/tex]
This property allows us to simplify the logarithm of a power of a number by bringing the exponent outside of the logarithm and multiplying it with the logarithm of the base.
Change of base formula: [tex]logb(x) = logc(x) / logc(b)[/tex]
This property allows us to change the base of a logarithm by dividing the logarithm of the number by the logarithm of the base in a different base.
Solving the given logarithmic equation :
The equation can be solved by using logarithmic properties and basic algebraic manipulation.
We can begin by using the property that states [tex]loga(b^n) = nloga(b)[/tex] for any base a and any positive real number b. Applying this property, we can rewrite the left side of the equation as:
[tex]log12((-8x)^2) = log12(64x^2)[/tex]
Next, we can use the property that states [tex]loga(b) = c[/tex] is equivalent to [tex]a^c = b[/tex]. Applying this property, we can rewrite the equation as:
[tex]12^{2log12(64x^2)} = 12^6[/tex]
Simplifying the left side, we get:
[tex]64x^2 = 12^6 / 12^2[/tex]
[tex]64x^2 = 144[/tex]
Dividing both sides by 64, we get:
[tex]x^2 = 144/64[/tex]
[tex]x^2 = 9/4[/tex]
Taking the square root of both sides, we get:
[tex]x=\pm 3/2[/tex]
However, we need to check the solutions for extraneous roots since the original equation has a logarithm with a negative argument. We can see that the solution x = 3/2 is extraneous since it results in a negative argument for the logarithm. Therefore, the only valid solution is x = -9/32.
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Q4 NEED HELP PLEASE HELP
Answer:
D. The electrician charges $23 per hour.
Step-by-step explanation:
C(h)= 23h+30 is in the form y=mx +b
$30 is the initial fee (b)
$23 is the amount charged per hour (h)
let x1 and x2 be two independent random variables both with mean 10 and variance 5. let y 2x1 x2 3 2. find the mean and the variance of y.
As a result, y has a mean of 203 and a variance of 85 as let x1 and x2 be two independent random variables both with mean 10 and variance 5.
what is variable ?A variable is a symbol or letter that is used to indicate a variable quantity in mathematics. The context or issue under consideration can alter the value of a variable. In order to express relationships between quantities, variables are frequently utilized in equations, formulae, and functions. For instance, x and y are variables in the equation y = mx + b, which depicts the linear relationship between x and y. Variables in statistics can reflect various traits or features of a population or sample, such as age, body mass index, or income.
given
To get the mean and variance of y, we can apply the characteristics of expected value and variance:
We can start by determining the expected value of y:
E[y] = 2E[x1] = E[2x1x2 + 3x1 + 2]
By the linearity of expectation, E[x2] + 3E[x1] + 2 is 2(10)(10) + 3(10) + 2 = 203.
Next, we may determine y's variance:
Var(y) = Var(3x1 + 2 + 2 + 3x1 ) = 4
Var(x1)
Var(x2) + 9
Var(x1) + Var(constant) = 4(5)(5) + 9(5) + 0 = 85 since x1 and x2 are independent.
As a result, y has a mean of 203 and a variance of 85 as let x1 and x2 be two independent random variables both with mean 10 and variance 5.
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Victor spent $61 on some sandpaper for his model
cars. He bought 2 packages of the smallest-grain
sandpaper and spent the rest on the largest-grain
sandpaper. How many packages of the largest-
grain sandpaper did he buy?
Size of
Grain (cm)
0.003
0.011
0.001
Cost per
Package (S)
13
7
20
Answer:
3 packages
Step-by-step explanation:
61 - 20 * 2 (small grain sandpaper) = $21 remain. The largest grain costs $7, so 21/7 = 3 packages of the largest grain sandpaper was bought.
Hope this helped!
b) Father is 30 years older than his son. After five years, he will be three times as old as his son will be. Find their present age.
Step-by-step explanation:
40 Years is the right answer
Answer:
son is 10 , father is 40
Step-by-step explanation:
let x be the sons age then father is x + 30
in 5 years
son is x + 5 and father is x + 30 + 5 = x + 35
at this time the father is three times as old as his son , then
x + 35 = 3(x + 5)
x + 35 = 3x + 15 ( subtract x from both sides )
35 = x + 15 ( subtract 15 from both sides )
20 = x
then sons age = x = 10 and fathers age = x + 30 = 10 + 30 = 40
camilia saved 4/5% of her allowance. What is this percent expressed as a fraction and as a decimal
what is 2 1/2 + x = 3 1/2. Please answer it quick
Answer:
x=1
Step-by-step explanation:
2.5+x=3.5
3.5-2.5=x
1=x
x=1
What is the y-intercept of the line
with the equation y = - 4x - 12
Answer:
-12 is the y intercept while your slope is -4
Step-by-step explanation:
1/1 point (graded) Compute X(), the matrix of predicted rankings UVT given the initial values for U() and V (0). 2 1 (Enter your answer as a matrix, e.g., type [[2,1],[1,0],[3,-1]] for a 3 x 2 matrix 1 0 Note the square brackets, and 3 -1 commas as separators. ) [[24,12,6], [0,0,0], (12,6,3], [24 ✓ 24 12 6 0 0 0 12 6 3 24 12 6
The matrix of predicted rankings UVT is [[48,24,12],[0,0,0],[24,12,6]].
The matrix of predicted rankings UVT can be calculated using the formula UVT = UV.The provided initial values for U() and V(0) are as follows:U() = [[2,1],[1,0],[3,-1]]V(0) = [[24,12,6],[0,0,0],[12,6,3]]Using the above values, the matrix of predicted rankings UVT can be computed as follows:UVT = UVU = [[2,1],[1,0],[3,-1]]V = [[24,12,6],[0,0,0],[12,6,3]]UVT = [[2,1],[1,0],[3,-1]] x [[24,12,6],[0,0,0],[12,6,3]]= [[48,24,12],[0,0,0],[24,12,6]]Therefore, the matrix of predicted rankings UVT is [[48,24,12],[0,0,0],[24,12,6]].
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