If at least one of $y_1, y_2$ is nonzero, then $\frac{y_2}{y_1}$ = $\frac{1}{4}$
If x is directly proportional to y, we can write this as x = ky for some constant k.
Since $\frac{x_1}{x_2} = 4$, we can write it as $x_1 = 4x_2$.
Now, substituting the value of $x_1$ in equation x = ky gives
$4x_2 = ky_1$.
Also, since x = ky, we can write $x_2 = ky_2$.
Now, we can substitute the value of $x_2$ in the equation $4x_2 = ky_1$
So, $4ky_2=ky_1$, which gives $\frac{y_2}{y_1} = \frac{1}{4}$
Therefore, $\frac{y_2}{y_1}$ = $\frac{1}{4}$ when x is directly proportional to y and $\frac{x_1}{x_2} = 4$.
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What value of n makes the equation true? Show your work.
Answer:
5n
Step-by-step explanation:
(7^5 * 7^n) ^ 4 = (7^11/7^n)^3
7^(20 + 4n) = 4.7^15 / n^3
= 20/4 = 5n and 15/3 = 5n
Answer 5n
Dr. And Mrs. Tutt are married, lives in Burleson and file a joint return. The Tutts cannot
be claimed as dependents on anyone else's tax return. Their daughter, Lavender, is 19
years old, single and a full-time student away at college. Lavender earned $4,500
during the year, but her parents provided more than half of her support. Which of the
following statements is true?
The real earning of her could be less than $2250 during the year where their parents supported more than half.
What is linear equation ?
linear equation can be defined as the equation in which the highest degree of the exponent is one.
Given
The Tutts cannot be claimed as dependents on anyone else's tax return. Their daughter, Lavender, is 19years old,
single and a full-time student away at college.
Lavender earned $4,500 during the year
The real earning of Lavender could be
as her parents supported more than half.
so,
her real earning could be less than $2250
Hence , the real earning of her could be less than $2250 .
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Solve for x. the formula is cosine
Answer:
Step-by-step explanation:
i need help please this is due at 8
Answer:
[tex]use \: this \: formula \\ circumference = dimeter \times 3.14 = 2 \times radius \times 3.14 \\ \\ area = 0.25 \times {diameter}^{2} \times 3.14 = {radius}^{2} \times 3.14[/tex]
50 POINTS!! Pls make sure the answers are correct and the work is shown
Answer all pls and show work
Answer:
it 33 pts not 50
An ice cream store has the following pints
in stock: 6 cookies and cream, 4 chocolate, 7
strawberry, 5 vanilla, and 8 mint chocolate
chip. Courtney is going to take out one pint,
not replace it, and then take out a second
pint. What is the probability that she will pull
out first a strawberry, then a mint chocolate
chip?
Answer:
0.03333333333 she will pull out a strawberry first then 0.00114942528 perfect chance she will get both of them.
Step-by-step explanation:
30 possibilities for the first one and 29 other for the second one
Someone help plz make sure it’s right will mark brainiest
Please help me with this! <-
Answer:
this is very hard i have one of this but it might be wrong
The 7th grade has 159 students. There are twice as many boys in the grade as there are girls.
How many boys are in the 7th grade?
Answer:
106 boys
Step-by-step explanation:
7th grade = 159 students
Boys to girls ratio:
2:1
Find two thirds of 159:
2/3*159 = 106 boys
159-106= 53 girls
Check:
53*2 = 106
Answer:
318 boys
Step-by-step explanation:
Easy mutiplication
159*2=318
Please solve and give me the answer. Please show me how you solved it too.
Answer:
x = 24
Step-by-step explanation:
The sum of the measures of the angles of a triangle is 180°.
4x + x + 60 = 180
5x + 60 = 180
5x = 120
x = 24
how do you solve this
Answer:
5^5+4/5^6
5^9/5^6
5^9-6
5^3
125
Step-by-step explanation:
Firstly the powers of 4 adds up
Then net power is formed by (9-6) ie 3
Lastly 5^3 is result which is 125
A skateboarding ramp is
in the shape of a triangular
prism. If the entire ramp is
to be painted, and a can of
spray paint covers 1,000
square inches, how many
cans will be needed?
Help me please! I only need one more question
Answer:
chicken pot pie
Step-by-step explanation:
ain't good
The number of cans needed will be 3.divide the total surface area by the area the spray paint can cover.
What is surface area ?The total land area of all the faces of a three-dimensional object is its surface area. When we wish to wrap something in real life, we employ the notion of surface areas of distinct things.
The total surface area to be painted;
A = Area 1 + Area 2 +Area 3+Area 4 \\\\\ A= Area of rectangular face 1 + Area of triangular surface 1+Area of triangular face 2 +Area of rectangular face 2
[tex]\rm \ A = 36 \times 50 + \frac{1}{2}\times 48 \times 14 +\frac{1}{2} \times 48 \times 14 + 36 \times 14 \\\\ A = 1800 +672+504 \\\\ A = 2976 \ inch^2[/tex]
The total surface area to be painted is 2976 inch².
To find the number of cans, divide the total surface area by the area that the spray paint can cover;
[tex]\rm n = \frac{2976}{1000} \\\\ n = 2.976 \\\\ n \approx 3[/tex]
Hence, the number of cans required will be 3.
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WILL MARK BRAINLIEST ASAPPPP
GIVING BRAINLIEST! HELP
Answer:
The answer is a because the sign should be facing right but not be greater than or equal to.
The length of a rectangle is 3cm longer than its width.
If the perimeter of the rectangle is 58 cm, find its length and width.
The length and width of the rectangle will be 16 centimeters and 13 centimeters, respectively.
What is the perimeter of the rectangle?Let W be the rectangle's width and L its length.
The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be
Perimeter of the rectangle = 2(L + W) units
The length of a rectangle is 3cm longer than its width. If the perimeter of the rectangle is 58 cm. Then the equations are given below.
L = 3 + W ...1
2(L + W) = 58
L + W = 29 ...2
From equations 1 and 2, then we have
3 + W + W = 29
2W = 26
W = 13 cm
Then the length of the rectangle will be given as,
L = 3 + 13
L = 16 cm
The length and width of the rectangle will be 16 centimeters and 13 centimeters, respectively.
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Use the quadratic formula to find both solutions to the quadratic equation
given below.
4x² + 5x+1=0
A. X=-
-3-√√-7
8
□ B. x=-3-√7
8
C. x=
E. x=
-3+√√-7
8
D. x=-¹
+3+√7
8
F. x= -1
Answer: x=-1/4 and x=-1
Step-by-step explanation:
The answer choices you give are extremely hard to figure out, so I hope my explanations and answers help.
The quadratic formula is [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]. Once we figure out a, b, c, we can plug them into the formula and solve for x.
The standard form equation is ax²+bx+c=0. The equation given matches this so we know that:
a=4
b=5
c=1
Plug them into the formula. There is a [tex]\pm[/tex] symbol, which stands for "plus or minus". This means we solve the formula with addition and subtractions separately. We should have 2 solutions at the end. Let's do them separately to show work.
Solution 1: addition
[tex]x_1=\frac{-5+\sqrt{5^2-4(4)(1)} }{2(4)}[/tex] [exponents]
[tex]x_1=\frac{-5+\sqrt{25-4(4)(1)} }{2(4)}[/tex] [multiply]
[tex]x_1=\frac{-5+\sqrt{25-16} }{8}[/tex] [inside square root]
[tex]x_1=\frac{-5+\sqrt{9} }{8}[/tex] [square root]
[tex]x_1=\frac{-5+3}{8}[/tex] [add]
[tex]x_1=\frac{-2}{8}[/tex] [divide top and bottom by 2]
[tex]x_1=-\frac{1}{4}[/tex]
Solution 2: subtraction
[tex]x_2=\frac{-5-\sqrt{5^2-4(4)(1)} }{2(4)}[/tex] [exponents]
[tex]x_2=\frac{-5-\sqrt{25-4(4)(1)} }{2(4)}[/tex] [multiply]
[tex]x_2=\frac{-5-\sqrt{25-16} }{8}[/tex] [inside square root]
[tex]x_2=\frac{-5-\sqrt{9} }{8}[/tex] [square root]
[tex]x_2=\frac{-5-3}{8}[/tex] [subtract]
[tex]x_2=\frac{-8}{8}[/tex] [divide]
[tex]x_2=-1[/tex]
I am not able to find the answer choices, but we know that x=-1/4 and x=-1.
please answer correctly !!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
WU/VU
Step-by-step explanation:
cos = adj/hyp
since vu is the longest side, we can determine that is the hypotenuse.
angle w is the right ange, so side wu would be the adjacent side.
putting it together, the ratio for cosine of angle u would be wu/vu
can someone help me pls
what is 25% more than60
Answer:
1/4 of 60= 15
15+60=75
75 is 125% of 60
Step-by-step explanation:
what is x and the measure of angle EHF
Answer:
x = 10, ∠ EHF = 110°
Step-by-step explanation:
7x and 11x are adjacent angles and sum to 180° , then
7x + 11x = 180
18x = 180 ( divide both sides by 18 )
x = 10
∠ EHF = 11x = 11(10) = 110°
Answer:
EHF = 110 deg
Step-by-step explanation:
From what it looks like 7x and 11x are being used as units of measurment. I can asssume a full circle adds up to 36x because 180deg adds up to 18deg.
If there were a number that was supposed to fill in for x it could be 0 because if the angles in this problem were 110 deg and 70 deg they would make 180 deg which is the straight line that the problem has.
is this right?? this is a graded assignment and no links!!
Is 0 the middle of a number line?
Zero is the middle point of a number line.
On the number line, all positive (natural numbers) numbers are on the right side of zero, while all negative numbers are on the left. A number's value lowers as we turn to the left. As an illustration, 1 is greater than -2.
A number line is a diagram of a graduated straight line used to represent real numbers in introductory mathematics. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point. [1]
The integers are frequently represented as specially designated, uniformly spaced dots on a line. It is frequently employed as a teaching tool for basic addition and subtraction, particularly when negative numbers are involved.
The number line may also be referred to as a real line or real number line in advanced mathematics.
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Describe the distribution of the ages of the Best Actor Oscar winners [LINK]:
A) What is the BEST description of the SHAPE?
- The distribution is not skewed
- The distribution is skewed left.
- The distribution is skewed right.
The correct option is option (c)-"The distribution is skewed right."
The distribution of the ages of the Best Actor Oscar winners is slightly skewed to the right.
A histogram of the ages of the Best Actor Oscar winners shows that the majority of the ages are centered around the mean age, with a few ages on the higher end that extend the right tail of the distribution. This creates a small skewness to the right.
The distribution seems to be centered at around 42-43.
The age distribution ranges from about 30 to about 75, without taking into account an outlier.
It's worth noting that the distribution is not extremely skewed, and the majority of the ages are still grouped around the center of the distribution.
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when processing an invoice what account is debited
a. cash
b. accounts payable
c. accounts receivable
d. the answer depends on the transaction
Answer:
D
Step-by-step explanation:
Because the account that gets debited depends on the specific transaction
PLEASE HELP! Jake and Hakeem's rocket's flight is approximately modeled by the equation h(t) = - 12t ^ 2 + 36t + 3 where h(t) is the height in meters of their rocket seconds after launch.
Jake and Hakeem's rocket's flight is approximately modeled by the equation h(t) = - 12t ^ 2 + 36t + 3. The rocket's highest point is 30m
What is the height?Generally, Since we are not instructed on what to look for, we are able to determine the highest point that the rocket ever achieved.
Given that the rocket's flight can be approximated approximatively using the equation,
h(t) = - 12t ^ 2 + 36t + 3
At maximum height dh/dt = 0
dh/dt = --24t + 36
0 = -24t + 36
24t = 36
t= 36/24
t = 1.5s
Find out the maximum height.
h(1.5) = - 12 (1.5)^ 2 + 36(1.5) + 3
h(1.5) = - 12(2.25) + 54 + 3
h(1.5) = -27 + 57
h(1.5) = 30m
As a result, the rocket is only capable of reaching a height of 30 meters at its highest point.
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Help! How do I do this??
Answer:
a = 14.9; b = 11.1
Step-by-step explanation:
SOHCAHTOA:
Sine = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tangent = Opposite / Adjacent
[tex]cos48[/tex]° : adjacent is 10, and hypotenuse is a
[tex]cos48=10/a; a*cos48=10;a=10/cos48[/tex]
type 10/cos48 into calculator to get a = 14.9
[tex]sin48[/tex]° : opposite is b, and hypotenuse is a
[tex]sin48=b/a; sin48=b/14.9; b=14.9*sin48[/tex]
type 14.9*sin48 into calculator to get b = 11.1
A teacher performing a demonstration finds that a piece of cork displaces 23.5 mL of water. The
piece of cork has a mass of 5.7 g. What is the density of the cork?
Answer:
0.243 g/mL
Step-by-step explanation:
Density is grams divided by mL. All you need to do for this is take your values and use them for the equation. Divide 5.7 grams by 23.5 mL
PLEASE HELPP
mia has 3 bags the number of toys in each bag is 6, 8 and x what is the number of toys in the third bag if the average number of toys in the three bags is 6?
a. 3
b.6
c.4
d.8
Answer:
b
Step-by-step explanation:
i think b because it makes more sense than a or c
Write four consecutive numbers with a mean and medium of 14.5
Answer:
13, 14, 15, 16
Step-by-step explanation:
Call the first number n. Then the next three consecutive numbers (assuming integers) are n + 1, n + 2, n + 3.
The mean is the total of the numbers divided by how many there are.
[tex]\frac{n+(n+1)+(n+2)+(n+3)}{4}=14.5[/tex]
Simplify and multiply by 4.
[tex]4n+6=58\\4n=52\\n=13[/tex]
The first number is 13.
The median is 14.5, halfway between the "middle" numbers 14 and 15. This is just a check; no additional equation is necessary.
the mean of a 6 number dataset is 20 if one of the numbers is 15 and you remove it from a dataset what us the mean of the remaining 5 numbers in the data?
Answer:
21
Step-by-step explanation:
If the mean of the data set is 20, we know that it is the sum of all the values in the data set, divided by the number of values. So, with s representing the sum, the mean is s/6 = 20
To undo division, multiply 20 by 6. 20*6 = 120.
120 is the sum of all of the values. Since we're taking out the number 15, subtract it from 120. You're left with 105, which is the sum of the rest of the numbers. Since you now only have 5 numbers, divide 105 by 5 and you get the new mean, which is 21.