Answer:
Step-by-step explanation:
Prime factorization
30 = 2 × 3 × 5
36 = 2² × 3²
HCF = 2 × 3 = 6
What is the area of the right triangle with base 5 cm and altitude 4cm?
The area of the right triangle with base 5 cm and altitude 4 cm will be 10 cm².
The area of right triangle is calculated using the formula -
Area = 1/2 × b × h. In the formula, the b is base of triangle and h is height of triangle.
Keep the values in formula to find the area of the right triangle.
Area = 1/2 × 5 × 4
Performing division on Right Hand Side of the equation
Area = 5 × 2
Performing division on Right Hand Side of the equation
Area = 10 cm²
Therefore, the area of right hand triangle will be 10 cm².
Learn more about triangle -
https://brainly.com/question/28470545
#SPJ4
What is this number in standard form?
(4×100)+(1×10)+(3×1/10)+(5×1/1,000)
410.3005
thats the answer but i need to add more characters ignore this
two cruise ships left Maui traveling in the opposite directions. The one heading east was going 12 mph faster than the one heading west. After six hours, the ships were 300 miles apart. How fast did the ship going east travel?
Answer: We can start solving this problem by using the information given: the ships are traveling in opposite directions and the speed difference between them is 12 mph. Let's call the speed of the ship heading east x and the speed of the ship heading west x-12.
We also know that the ships were 300 miles apart after 6 hours. The distance between the two ships can be represented as the sum of the distances traveled by each ship, which is x*6 + (x-12)*6 = 300.
We can use this equation to find the value of x.
x*6 + (x-12)*6 = 300
We can simplify it as:
x6 + x6 - 72 = 300
x12 - 72 = 300
x12 = 372
x = 31
So the ship heading east travels at 31 mph.
It is important to notice that the ship going west was 12 mph slower than the ship going east, so the speed of the ship going west is 31-12 = 19 mph.
It is also important to notice that the speed of each ship, x and x-12, are in the same units (mph) and also the distance, 300 miles, and the time, 6 hours, are also in the same units (hours and miles)
Step-by-step explanation:
Slope intercept form of this question?
Answer:
[tex]\displaystyle y=-\frac{1}{6}x-\frac{2}{6}[/tex]
Step-by-step explanation:
[tex]\displaystyle x+6y=-2\\\\6y=-2-x\\\\y=-\frac{2}{6}-\frac{1}{6}x\\\\y=-\frac{1}{6}x-\frac{2}{6}[/tex]
Given the equation f(x) = x³ - 2x, find the average rate of change of the function over the interval -1 ≤ x ≤ 5.
From the set {16, 20, 24}, use substitution to determine which value of x makes the inequality true
x = 16, x = 20, and x = 24 make the inequality true.
What is inequality?
In mathematics, a relationship between two expressions or values that are not equal to each other is called 'inequality. ' So, a lack of balance results in inequality.
To use substitution to determine which value of x makes the inequality true, we can substitute each value from the {16, 20, 24} into the inequality and see if it makes the inequality true or false.
For example, if the inequality is x < 10, we can substitute 16, 20, and 24 into the inequality to see which one makes it true:
16 < 10 is true
20 < 10 is false
24 < 10 is false
So, we can see that only 8 makes the inequality true. Therefore, x = 8 makes the inequality true.
If the inequality is x > 10, we can substitute 16, 20, and 24 into the inequality to see which one makes it true:
16 > 10 is true
20 > 10 is true
24 > 10 is true
Hence, x = 16, x = 20, and x = 24 make the inequality true.
To learn more about inequality visit,
https://brainly.com/question/25275758
#SPJ1
How do you find the three factors of a polynomial function?
Find two numbers, r and s, whose product is c and whose sum is b to factor a trinomial of the type x2 + bx + c. Rewrite the trinomial as x2 + rx + sx + c, and then factor the polynomial using grouping and the distributive property.
What is polynomial?A polynomial is an expression in mathematics that consists of variables (also known as indeterminates) and coefficients and includes only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Step 1: Combine the first two terms, then the last two terms. Step 2: Separately extract a GCF from each binomial. Step 3: Get rid of the common binomial. It's worth noticing that dividing our solution by itself yields the original polynomial. A polynomial is an equation made up of variables, constants, and exponents that are mixed using mathematical operations including addition, subtraction, multiplication, and division (No division operation by a variable).
Here,
To factor a trinomial of the type x2 + bx + c, find two numbers, r and s, whose product is c and whose sum is b. Rewrite the trinomial as x2 + rx + sx + c, then factor the polynomial using grouping and the distributive property.
To know more about polynomial,
https://brainly.com/question/20630027
#SPJ4
Triangle xyz has coordinates x(2, 4), y(−3, 4), and z(−3, 1). if the triangle is translated using the rule (x, y) → (x − 2, y 1), what are the coordinates of y'? y'(–5, 5) y'(0, 5) y'(–5, 2) y'(–1, 3)
The given coordinates for point y are y(−3, 4). Using the translation rule (x, y) → (x − 2, y + 1), the new coordinates for point y' will be y'(–5, 5).
The given coordinates for point y are y(−3, 4). This means that the x coordinate of point y is -3, and the y coordinate of point y is 4. Applying the translation rule (x, y) → (x − 2, y + 1), the x coordinate of point y' is obtained by subtracting 2 from the x coordinate of point y, which is -3. The y coordinate of point y' is obtained by adding 1 to the y coordinate of point y, which is 4. Therefore, the new coordinates for point y' are y'(–5, 5).
The given coordinates for point y are y(−3, 4). Using the translation rule (x, y) → (x − 2, y + 1), the new coordinates for point y' will be y'(–5, 5).
learn more about coordinate here
https://brainly.com/question/27749090
#SPJ4
Answer:
A 5,-5
Step-by-step explanation:
i need help willing to give 10 pts if anybody to help me with these quiz 4-1 classifying and solving for sides/ angles in triangles
The Values of missing angles are shown below.
What is angle Sum Property?Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.
6. Using Angle sum property
<1 + 72 + 57 = 180
<1 = 51
Now, <2 +72 = 90
<2 = 18
<and, <3+ 57 = 180 (linear pair)
<3 = 123
Now, <4 = 180- 123- 18
<4 = 39
7. <1 = 180- 129 = 51 (linear pair)
<2 = 180- 51 - 95 = 34 (Angle sum property)
<3 = 95 (Vertical opposite angle)
<4= 180- 47 - 95 = 38
<5 = 47 (Vertical opposite angle)
<7= 180-121= 59
<6= 180-59-47= 74
8. Using Angle sum property
13x+ 2 + 5x - 7 + 3x -4 = 180
21x -9 = 180
21x = 189
x= 9
So, angles are 13x+2 = 119, 5x-7 = 38 and 3x-4 = 23
9. Using Exterior Angle property
19x- 18 = 7x+1 + 10x- 9
19x - 18 = 17x - 8
2x = 10
x= 5
So, angles are 19x-18 = 77, 7x+1 = 36 and 10x-9 = 41
Learn more about angle sum Property here:
https://brainly.com/question/4316040
#SPJ1
solve: y=5
3x - 2y= 14
Answer:
(8,5)
Step-by-step explanation:
Step-by-step explanation: y=5 x 3x - 2y= 14
I need help asap please and thank you
Answer:
1) (-1;4), (4;3)
2) (-1;4), (0;0)
Step-by-step explanation:
Did I Help You?
What are the factors of 904?
904 is a composite number.
Prime factorization: 904 = 2 × 2 × 2 × 113, which can be written 904 = 2³ × 113.
What is a factor in math?
A factor is a number that divides another number, leaving no remainder. In other words, if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product because they are divisible by the product
The exponents in the prime factorization are 3 and 1. ...
Factors of 904: 1, 2, 4, 8, 113, 226, 452, 904.
Factor pairs: 904 = 1 × 904, 2 × 452, 4 × 226, or 8 × 113.
learn more about of factor here
https://brainly.com/question/29296093
#SPJ4
What is the growth factor in an exponential function?
The growth factor in an exponential function is the constant multiplier that is used to generate the next value in a sequence. It is usually represented by the letter r or b.
The growth factor in an exponential functionThe growth factor in an exponential function is a constant multiplier that is applied to each successive value in the series to generate the next value.
For example, with an exponential function of the form y = a*b^x, the growth factor is represented by the letter b.The growth factor is essentially the rate of growth of the exponential function, and is calculated by taking the ratio of two successive values of the function.
For example, with the function y = 2*3^x, the growth factor would be calculated by taking the ratio of y(x+1) / y(x) = 3. This means that for every one unit increase in the value of x, the value of y is multiplied by 3.The growth factor is an important concept in exponential functions, as it helps describe how quickly the function is growing or decaying.
Learn more about exponential function: https://brainly.com/question/2456547
#SPJ4
Please help as soon as possible!!!
Answer:
Anything to the 0 power is equal to 1
Step-by-step explanation:
Answer:
Anything to the zero power equals 1.
In the figure, ∠1 ≅ ∠2, ∠3 ≅ ∠4, and . You can justify the conclusion that ∠TKL ≅ ∠TLK by stating _____
The congruence of the angles <TKL and <TLK is justified as follows:
The supplements of congruent angles are congruent.
How to justify the congruence of angles TKL and TLK?Congruent angles are angles that have the same angle measure.
The congruent angles for this triangle are given as follows:
<TKL and <TLK∠3 ≅ ∠4.An angle is supplementary with it's exterior angle, meaning that the sum of their measures is of 180º, hence:
<TKL + <3 = 180º.<TLK + <4 = 180º.As angles 3 and 4 are congruent, we have that angles <TKL and <TLK are also congruent, and thus the correct option is given by the last option.
Missing InformationThe problem is given by the image presented at the end of the answer.
More can be learned about congruent angles at https://brainly.com/question/14791175
#SPJ1
Please help me on this!!!!!!
Answer:
y = -[tex]\frac{1}{2}[/tex]x+6
Step-by-step explanation:
First off, you need to know what slope-intercept form is: y = mx+b
y = mx+b
b = the y-intercept, or where the line meets with (0,y), which is value of the coordinate is the y-intercept.
Looking at your yellow dot on the y axis, (0,6), could be the perfect fit to find the y-intercept.
So, know we know: y = mx+6
m = the slope of the line - you have to find two coordinates
in this case, it could be the two yellow points
(0,6)
(6,3)
use the following two coordinates to find the slope:
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
In this case, it would be 3-6/6-0, which equals to -1/2.
So, finally, we get:
y = -[tex]\frac{1}{2}[/tex]x+6
Complete the table for the given rule.
Rule: y=x/2
(X over 2)
X y
X 1
X 2.5
X 3.5
Answer y = X/2
How to complete the table using y=x/2 (X over 2) rule ?
The given function is a linear function passing through Origin.
We have to Complete the table using the given rule.
y=x/2
1.→ 1= x/2
x=2
2.→ 2.5=x/2
x=5
3.→2=3.5=x/2
x=7
To learn more about value of x refers to;
https://brainly.com/question/12263156
#SPJ1
Magela is modeling 3.18 / 6. How should she exchange the place value blocks so she can make 6 equal shares?
Place value blocks should be exchanged as
30 tenths and 18 hundredths for modeling 3.18/6 .
What is place value ?Place value can be defined as the value represented by a digit in a number on the basis of its position in the number. For example, the place value of 7 in 3,743 is 7 hundreds or 700. However, the place value of 7 in 7,432 is 7 thousands or 7,000.
Given,
Number to model = 3.18/6 = 0.53
The number is 3 wholes 1 tenths and 8 hundredths.
To divide it into 6 equal shares she has to exchange place value blocks as
30 tenths and 18 hundredths
Making its equal shares
30/6 tenths and 18/6 hundredths
5 tenths and 3 hundredths
Hence, 30 tenths and 18 hundredths is the way to exchange place value blocks for modeling 3.18/6.
Learn more about place value here:
https://brainly.com/question/27734142
#SPJ1
Shayna and Arjun each improved their yards by planting grass sod and geraniums. They bought
their supplies from the same store. Shayna spent $16 on 2 ft² of grass sod and 1 geraniurn, Arjun
spent $73 on 1 ft² of grass cod and 7 geraniums. What is the cost if one ft² of grass sod and the cost of one geranium?
The cost of 1 ft² grass sod is $3 and the cost of 1 geranium is $10.
This is found using simultaneous equations.
What are simultaneous equations?
A finite set of equations for which common solutions are sought is referred to as a set of simultaneous equations, often known as a system of equations.
Let,
x = Cost of 1 ft² grass sod
y = Cost of 1 geranium
In Shayna's case
Grass sod = 2ft²
Geranium bought = 1
Cost = $16
Equation
2x + y = 16 ⇒ (1)
In Arjun's case
Grass sod = 1 ft²
Geranium = 7
Cost = $73
Equation
x + 7y = 73 ⇒ (2)
Solving the equation (1) and (2)
From (1)
y = 16 - 2x
Substituting the above in (2)
x + 7 (16-2x) = 73
-13x = -39
x = 3
y = 16 - 2*3 = 10
Therefore from the solution of the above simultaneous equations, we can conclude that the cost of 1 ft² grass sod is $3 and the cost of 1 geranium is $10.
To learn more about simultaneous equations, follow the link.
https://brainly.com/question/16863577
#SPJ1
HELP ASAP (100 POINTS)
It is impossible to determine the constant of proportionality from the information given. A proportional relationship is when two quantities are related by a constant factor. The graph shows the relationship between math test raw scores and a certain number of points, but the constant of proportionality cannot be determined based on this alone. To determine the constant of proportionality, we would need to know how the points are calculated based on the raw scores, and see an equation that relates the two variables.
Which statements are true about the regular polygon select three options
Answer:
Each interior angle measures 108 degrees. All of the angles are congruent. The sum of the measures of the interior angles is 180(5 – 2)°.
what is the 4+6+9+0+6000438975.226
Answer:
It equals 0
Step-by-step explanation:
Hope it helps!
True or False?
When solving two-step equations, you are basically using the reverse order of operations to solve the two-step equations.
1. Traci is t years old. Her brother Scott is 3 years older than she is. Write an expression that represents Scott's age.
Answer:
(t + 3) years old
Step-by-step explanation:
The Johnson family went out to lunch The meal cost $46.72 The sales tax was % of the cost of the meal The tip was 15 % of the meal and sales tax . There are 4 people in the Johnson family . How much did the meal cost per person , including sales tax and tip ? A $ 14.00 B $ 14.50 C $ 14.95 D $ 15.25
Answer: The answer is B. $14.50
How do you find the value of x in exponents and powers?
To find the value of x in exponents and powers, we can use logarithm.
To find the value of x in an equation involving exponents or powers, you can use logarithms. The logarithm of a number is the exponent to which a base, such as 10 or e, must be raised to equal that number. The base of the logarithm is usually written as a subscript, so log base 10 of 100 is written as log10(100).
For example, if the equation is x^3 = 27, you can use logarithms to solve the equation by taking the logarithm of both sides with the same base. log(x^3) = log(27) and by using the logarithm properties we can simplify this to 3log(x) = log(27) and then divide both sides by 3 and x = 3.
Read more about Exponents and Powers:
https://brainly.com/question/11624048
#SPJ4
what is the solution to the equation 1/ the root of 8 =4^(m-2). 15/4 11/4 5/4 9/4 plsssss help
m = 5/4 is the solution to the equation
How to find the solution to the equation?
An indices equation is an equation that relates the indices of two or more variables or functions in a mathematical expression. The indices are the exponents of the variables or functions, and the equation states the relationship between them.
The equation can be simplified as follows:
[tex]\frac{1}{\sqrt{8} } = 4^{m-2}[/tex]
[tex]\frac{1}{8^{\frac{1}{2} } } = 4^{m-2}[/tex]
[tex]8^{-\frac{1}{2} } = 4^{m-2}[/tex]
[tex](2^{3})^{-\frac{1}{2} } = 2^2^{(m-2)}[/tex]
[tex]2^{-\frac{3}{2} } = 2^2^{(m-2)}[/tex]
Equate the powers or exponents:
-3/2 = 2(m-2)
-3/2 = 2m - 4
2m = -3/2 + 4
2m =5/2
m = 5/4
The solution to the equation is m = 5/4
Learn more about indices on:
brainly.com/question/10339517
#SPJ1
Write the rule to describe the transformation
Answer:
Dilation of 2
Step-by-step explanation:
Note that [tex]SR=2[/tex] and [tex]S'R'=4[/tex].
The scale factor is defined as the ratio of the length of the side of the image to the length of the corresponding side of the preimage.
So, the scale factor is [tex]\frac{4}{2}=2[/tex].
What type of sequence is 1 1 2 3 5 8?
Answer:
Fibonacci sequence
Step-by-step explanation:
A sequence where a term in the sequence is the sum of the 2 previous terms , is a Fibonacci sequence , that is
1 + 1 = 2
2 + 1 = 3
3 + 2 = 5
5 + 3 = 8
Can you help me with this
Answer:
Step-by-step explanation:
whats the function