How do you graph the function f(x)=−1/4x−2?
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How do you solve -10=10(k-9)
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add 90 on both sides that would be
80=10k
divide by 10
8=k or k=8
HOPE THIS HELPED!!! :)
1 step: Distributive Property
2nd step: Addition Property of Equality or added 90 to both sides
3rd step: Division Property of equality or divided by 10 on both sides.
k=8
Which is a true statement about the line x − 4y = 8?
a
The y-intercept of the line is (0, 2).
b
The line passes through the origin.
c
The slope of the line is 1/4
d
The x-intercept of the line is (2, 0).
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so your answer is C.
hope this helps, God bless!
The volume of a rectangular prism can be computed using the formula V = lwh. What is the height of a prism that has a volume of 2376 cubic centimeters, a length of 18 centimeters, and a width of 11 centimeters
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198x12= 2376
Answer:
The height of the prism is approximately [tex]\(12\)[/tex] centimeters.
Explanation:
To find the height ([tex]\(h\)[/tex]) of the prism, we can rearrange the formula for volume to solve for [tex]\(h\):[/tex]
[tex]\[ V = lwh \][/tex]
We can rewrite this formula to solve for [tex]\(h\):[/tex]
[tex]\[ h = \frac{V}{lw} \][/tex]
Given:
- Volume ([tex]\(V\)[/tex]) = 2376 cubic centimeters
- Length ([tex]\(l\)[/tex]) = 18 centimeters
- Width ([tex]\(w\)[/tex]) = 11 centimeters
Substitute these values into the formula to find the height:
[tex]\[ h = \frac{2376}{18 \times 11} \][/tex]
[tex]\[ h = \frac{2376}{198} \][/tex]
[tex]\[ h \approx 12 \text{ centimeters} \][/tex]
So, the height of the prism is approximately [tex]\(12\)[/tex] centimeters.
Plzzzz Help meeeeee!!!!!!
Sara is selling cookies and brownies as a fundraiser for the school band. She charges $2.25 for two cookies and one brownie. She charges $5.75 for four cookies and three brownies. How much does Sara charge per cookie? How much per brownie?
A. $0.50 per cookie, $1.25 per brownie
B. $0.75 per cookie, $1.50 per brownie
C. $0.25 per cookie, $1.00 per brownie
D. $1.00 per cookie, $1.00 per brownie
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Answer:
The cost of the $0.5 per cookies and $1.25 per brownie.
Option (A) is correct.
Step-by-step explanation:
Let us assume that the cost of the cookies =x
Let us assume that the cost of the brownie = y
As given
Sara is selling cookies and brownies as a fundraiser for the school band.
She charges $2.25 for two cookies and one brownie.
Than the equation becomes
2x + y = 2.25
She charges $5.75 for four cookies and three brownies.
4x + 3y = 5.75
Than two equation are
2x + y = 2.25 and 4x + 3y = 5.75
Multiply 2x + y = 2.25 by 3 and subtracted from 4x + 3y = 5.75
4x - 6x + 3y - 3y = 5.75 - 6.75
-2x = - 1
2x = 1
[tex]x = \frac{1}{2}[/tex]
x = $0.5
Put in the equation 2x + y = 2.25
2 × 0.5 + y = 2.25
1 + y = 2.25
y = 2.25 - 1
y = $1.25
Therefore the cost of the $0.5 per cookies and $1.25 per brownie.
Option (A) is correct.
Answer:
A is correct
Step-by-step explanation:
Which pair of numbers is relatively prime? A. 102 and 321 B. 10 and 45 C. 3 and 51 D. 35 and 72
Answers
D. 35 and 72
The pair of numbers 35 and 72 are relatively prime, which is the correct answer would be option (D).
What is the pair of relatively prime?If there is no integer greater than 1 that divides both integers, they are expressed to be relatively prime.
Consider the given pair of numbers to determine which pair is more prime.
A. Consider 102 and 321
3 is the number that divides by 102 and 321 both. Therefore, they are not relatively prime.
B. Consider 10 and 45
5 is the number that divides by 10 and 45 both. Therefore, they are not relatively prime.
C. Consider 3 and 51
3 is the number that divides by 3 and 51 both. Therefore, they are not relatively prime.
D. Consider 35 and 72
As there is no number greater than one, this divides both numbers. As a result, they are relatively prime numbers.
Therefore, the correct answer would be an option (D).
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find the coordinates of the orthocenter for a triangle with vertices (1,3) , (1,12) , (8,10)
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The orthocenter is where the three altitudes of the triangle meet. That is, where the perpendicular lines from each vertex to the opposite side meet.
the goal in this case is to find out where the perpendicular line from C to AB, the perpendicular line from B to AC, and the perpendicular line form A to BC meet.
It is enough to find two perpendicular lines.
step one: find the equation of two perpendicular lines
find the slope of AB: m=(12-3)/(1-1), notice the denominator is 0, so the slope doesn't exist, that means AB is a vertical line parallel to the y axis, so the perpendicular line has a slope of o, a horizontal line. this horizontal line goes through C(8,10), so the equation is y=10
use the same method, slope of AC: (10-3)/(8-1)=1, so the perpendicular line from B to AC has a slope of -1. y=-x+b
Now use the point B(1,12) to find b: 12=-1+b =>b=13
so the equation for this line is y=-x+13
Step two: solve the system of equations: y=10
y=-x+13
we get x=3, y=10, which are the coordinates of the orthocenter.
I've also found the equation of the third line, which is y=(7/2)x-1/2, the point (3,10) is also on this line. So it works!
Jenna says that no row or column contains products with only odd numbers do you agree explain.
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Jenna's claim that no row or column contains products with only odd numbers is wrong. A counterexample can be found by examining a matrix.
Explanation:Jenna claims that no row or column contains products with only odd numbers. Let's examine whether this statement is true or not. Let's consider a matrix and see if we can find a row or column that contains products with only odd numbers.
For example, let's take the following matrix:
1 2
3 4
In this matrix, we can see that the 1st row contains the product 2 and the 2nd row contains the product 12 which are both even numbers.
So, Jenna's statement is not true as we have found a row that contains products with only even numbers.
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find A common denominator of 1/6 and 1/9. rewrite the pair of fractions using common denominator.
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Answer:
the pair would be 3/18 and 2/18
The pair of fractions, 1/6 and 1/9, can be rewritten as 3/18 and 2/18, respectively, using the common denominator of 18.
We have,
The prime factorization of 6 is 2 * 3.
The prime factorization of 9 is 3 * 3.
To find the LCM, take the highest power of each prime factor:
LCM = 2 * 3 * 3 = 18
The common denominator for 1/6 and 1/9 is 18.
To rewrite the fractions using the common denominator of 18:
1/6 = (1/6) * (3/3) = 3/18
1/9 = (1/9) * (2/2) = 2/18
Thus,
The pair of fractions, 1/6 and 1/9, can be rewritten as 3/18 and 2/18, respectively, using the common denominator of 18.
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What is the equation of this line? y=12x−3 y=−12x−3 y=−2x−3 y=2x−3 Number graph ranging from negative 5 to 5 on both the x and y axis. A line passes through the point begin ordered pair 0 comma negative 3 end ordered pair and the point begin ordered pair 4 comma negative 1 end ordered pair
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We are given that
A line passes through two points as
(0,-3) and (4,-1)
[tex](x_1,y_1)=(0,-3)[/tex]
[tex]x_1=0,y_1=-3[/tex]
[tex](x_2,y_2)=(4,-1)[/tex]
[tex]x_2=4,y_2=-1[/tex]
Firstly, we can find slope
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
now, we can plug values
[tex]m=\frac{-1+3}{4-0}[/tex]
[tex]m=\frac{2}{4}[/tex]
[tex]m=\frac{1}{2}[/tex]
now, we can use point slope form of line
[tex]y-y_1=m(x-x_1)[/tex]
we can plug values
[tex]y+3=\frac{1}{2} (x-0)[/tex]
[tex]y+3=\frac{1}{2}x[/tex]
[tex]y=\frac{1}{2}x-3[/tex]
so, the equation of line is
[tex]y=\frac{1}{2}x-3[/tex]...............Answer
Which one of the following is an arithmetic sequence?
A. −2, 1, 4, 7, 10, . . .
B. 2, 3, 5, 7, 11, 13, 17, . . .
C. 5, 0, −1, −3, −7, . . .
D. .35, .5, .85, 1.1, 1.22, . . .
Answers
we express this mathematically by saying let q be the common difference let a(n) be the nth term of a sequence than the sequence is only arithmetic if and only if for (1st)to(n-1th term) the difference a(n+1)=a(n)+q and a(n)=q*n
so let us check the choices
A)-2,1,4,7,10 is arithmetic since the common difference is 3
B)2,3,5,7,11,13,17 is not arithmetic since there is no common difference
c)5,0,-1,-3,-7 is not arithmetic since there is no common difference
D)0.35,0.5,0.85,1.1,1.22 isn't arithmetic since there is no common difference
Final answer:
Option A (-2, 1, 4, 7, 10, ...) is an arithmetic sequence because there is a consistent common difference of +3 between each term. The other options do not show a constant difference between terms, so they are not arithmetic sequences.
Explanation:
To determine which of the sequences is an arithmetic sequence, we look for a constant difference between successive terms. An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a constant, known as the common difference, to the previous term.
A. −2, 1, 4, 7, 10, . . . - The difference between terms is consistently +3, so this is an arithmetic sequence.
B. 2, 3, 5, 7, 11, 13, 17, . . . - The sequence consists of prime numbers and does not have a consistent difference. Not an arithmetic sequence.
C. 5, 0, −1, −3, −7, . . . - The differences between terms here change; they are not constant. Not an arithmetic sequence.
D. .35, .5, .85, 1.1, 1.22, . . . - The differences between terms do not remain the same, so it's not an arithmetic sequence.
Our answer is A: −2, 1, 4, 7, 10, . . .. This is the only arithmetic sequence from the given options as it has a consistent common difference of +3 between each term.
two sides of a triangle have lengths of 10 and 15. Between what two numbers does the length of the third side lie?
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3868000000 in scientific notation
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A ladder is leaning against the side of a building. The building and the ground form a right angle. How high on the building will the ladder touch if the ladder is 10 ft long and the base of the ladder is 6 ft from the base of the building?
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8 ft
6, 8, 10 are lengths of a Pythagorean triple
6^2 + 8^2 = 10^2
The height of wall where the ladder touches it is 8 ft.
Given that, a ladder is leaned against a wall, the building and the ground form a right angle, we need to find that how high on the building will the ladder touch,
So, here using the Pythagoras theorem,
Formula =
a²+b² = c², a, b and c are the sides of a right triangle,
Here, c = 10 ft, b = 6 ft we need to find the a,
a²+6² = 10²
a² = 100-36
a² = 64
a = 8
Hence, the height of the wall where the ladder touches it is 8 ft.
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a plane takes off at 6 am, traveling north at 270 mph. a jet takes iff at 7 am, traveling north at 460 mph. at what time will the jet overtake the plane?
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[tex]d=rt[/tex]
Now, if the jet overtakes the plane, then at some point their distances will be the same. This means their rate * time will be equal.
Let's call the rate for the first plane, r1, and the rate for the second plane, r2. If we set time as t, then we can create ourselves a formula. However, we have to add one to the time of the first plane since it leaves one hour earlier. In the end, we should have something like this:
[tex]r_{1}(t+1)= r_{2}t [/tex]
If you plug in the values, you should get:
[tex]t = 0.704h[/tex]
Evaluate 13 + ab, when a = 2.5 and b = 3. A. 46.5 B. 20.5 C. 18.5 D. 19.5
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So the equation becomes 13 + axb
Lets fill a and b in:
13+(2.5)(3)
In the order of operations (or PEMDAS),we must multiply first.
2.5 x 3 =7.5
Then the equation becomes:
13 + 7.5
No you just add to get your answer which is (B)20.5
Hope this helps!
Answer:
the answer is b
Which describes the difference between the two sequences? First Sequence: 1, 6, 36, 216 ... Second Sequence: 3, 6, 9, 12, ...
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8+x/-9=9
Please solve this equation and show your work!
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x/-9= 1 multiply by -9
x= -9
-9×9=8+x
-81-8=x
X=-89
What is the product in lowest terms?
1/6 x 5/7. ( / means fractions)
1. 6/13
2. 5/13
3. 1/7
4. 5/42
Thank you so much, if you could answer as fast and best as you can you really are very helpful!
Answers
Your answer is D. 5/42. Here's how we got that.
1) Multiply across. 1 * 5 / 6 * 7.
2) 1 * 5 = 5. 6 * 7 = 42.
Put solved form of 1 * 5 and 6 * 7 into fraction.
5 / 42.
Hope this helps! ☺♥
A turtle fell to the bottom of a deep well. The turtle climbed up 2 meters on the first day, but slipped back 1 meter as he rested. The second day, the turtle climbed double the distance of the previous day, but slipped and lost ½ of the day’s climbed distance as he rested. This pattern continued until the end of the fourth day, when the turtle realized he was halfway to the top of the well. How deep was the well?
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Analyzing the climbing pattern of the turtle for four days shows that it climbed 15 meters which is halfway to the top, thus the entire depth of the well is 30 meters.
The question asks for the determination of the depth of a well based on a pattern observed in a turtle's attempt to climb out of it. To do this, we need to analyze the climbing and slipping pattern for four days until the turtle is halfway out of the well.
On the first day, the turtle climbed up 2 meters and slipped back 1 meter, netting a 1 meter gain. On the second day, the distance climbed is double that of the previous day (2 meters x 2 = 4 meters), but the turtle loses half of it while resting, which means a gain of 2 meters for the second day (4 meters / 2 = 2 meters). Following the pattern:
Day 1: +2 - 1 = +1 meterDay 2: +(2 x 2) - (4 / 2) = +2 metersDay 3: +(4 x 2) - (8 / 2) = +4 metersDay 4: +(8 x 2) - (16 / 2) = +8 metersThe total distance climbed after four days is 1 + 2 + 4 + 8 = 15 meters. Since this is halfway to the top, the entire depth of the well would be 15 meters imes 2 = 30 meters.
how do i evaluate 256 1/4 .? this is algebra 2.
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The value of the 256 1/4 is 384.25
What is a fraction?A fraction represents a part of a number or any number of equal parts.
A fraction consisting of a quotient and a remainder is a mixed fraction. we can convert the mixed fraction to an improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and the remainder as the numerator of the proper fraction keeping the denominator.
We have the fraction as 256 1/4
First, we will multiply 256 with 4.
256 x 4 = 1536
1536 + 1
= 1537
Then
1537 / 4 = 384.25
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A square pyramid has a height “h” and a base with side length “b”. The side lengths of the base increase by 50% write a formula for the volume of the new pyramid in terms of b and h.
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h-height
b-base
1.5- an increase
v- volume
Michell bought 5 packs of crayons for $13.75 what's the coust of one pack?
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13.75 ÷ 5 = 2.75
So one pack would cost 2.75
(:
A Town's population went from 25800 to 42600 in 15 years. What was the percentage of change?
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The O'Malley family is driving tlcross-country to see their cousins. So far, they have traveled 275 miles. This is 1/5 of the way to their cousins' house. How far do the O'Malleys live from their cousins?
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I need help ..........
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Answer:
The answer is B
Step-by-step explanation:
You need to graph the equation from the left of equality sign which is y=x*1/6 and the other is -2x+5
The first has a point (0,0) and other point could be (6,1) from there you can have your graph
The second has one point in (2.5, 0) and (0,5)
A triangle has base 15ft and area 60ft2. What is the height?j
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help i dont get this question!
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P = side + side + side
4x + 3y = x + y + x + y + s
2x + y = s
Hope this helps!
1. simplify 6^2+ 3^2
2. 4^3+ 4.5
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2. 68.5
please mark me brainliest!!!
Remember that an exponent of 2 means to multiply the base by itself, not multiply the base by 2.
6^2+ 3^2 = 6 * 6 + 3 * 3 = 36 + 9 = 45
2. 4^3 + 4.5 = 4 * 4 * 4 + 4.5 = 64 + 4.5 = 68.5
the tax on a property with an assessed value of $120,000 is $300. find the tax on a property with an assessed value of $140,000.
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What is a multiplication problem with a product that is greater than 0.1 but less than 0.2
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3 x 0.05 can be one of your answers
hope this helps
Both of these are good examples. I hope I was able to help you, and if you have any more questions, please let me know!