When the points H, I, J and K all lie on the same line segment, in that order, such that the ratio of HI: IJ: JK is equal to 1:2:2 ,the value of HJ is 27.
How to illustrate the information?Fronxrye information, the points H, I, J and K all lie on the same line segment, in that order, such that the ratio of HI: IJ: JK is equal to 1:2:2.
Therefore, the value of HJ will be:
= (1 + 2)/(1 + 2 + 3) × 45
= 3/5 × 45
= 27
Therefore, the value of HJ is 27.
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Need help ASAP! Algebra 2, Systems of Equations
Jenny sells earrings and bracelets on Etsy. The earrings cost $5 a pair and bracelets cost $12. If Jenny made 20 pieces on Saturday for $156. How many of each type of jewelry did she make?
1. 10 earrings and 7 bracelets
2. 7 earrings and 10 bracelets
3. 12 earrings and 8 bracelets
4. 8 earrings and 12 bracelets
The number of each type of jewellery she made is 12 earrings and 8 bracelet .
How to find the number of jewellery using system of equation?She sells earrings and bracelets on Etsy.
The earrings cost $5 a pair and bracelets cost $12.
She made 20 pieces on Saturday for $156.
let
x = number of pair of earring made
y = number of bracelets
Therefore, the system of equation that can be used to find the number of each jewellery she made can be calculated as follows;
5x + 12y = 156
x + y = 20
multiply equation(i) by 5
5x + 12y = 156
5x + 5y = 100
subtract equation(i) from equation(ii)
7y = 56
y = 56 / 7
y = 8
Hence,
x + 8 = 20
x = 20 - 8
x = 12
Therefore, the number of earring and bracelet she made are 12 and 8 respectively.
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A survey question that starts out with the phrase do you agree that. Is an example of what?.
Deliberate bias is the correct answer.
Bias is the tendency of a statistic to overestimate or underestimate a parameter or result. It can be intentional or unintentional. They threaten the accuracy of the collected data. Deliberate bias is the misrepresentation of data to advance an agenda that is done purposely.
The extract of the results of an experiment is changed intentionally for personal benefit in terms of monetary, scientific, personal, or ideological purposes through deliberate bias.
This bias occurs when a group of people wants to control the collected information to move in a certain predetermined direction and receive various benefits that would promote themselves in the area of interest.
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Fill in the blanks
The inverse of an exponential function with a base e is the ________.
The inverse of an exponential function with a base e is the logarithm.
A logarithm is defined simply?
The power to which a number must be increased in order to obtain another number is known as a logarithm (see Section 3 of this Math Review for more about exponents). For instance, since ten raised to the power of two equals 100, the base ten logarithm of 100 is 2: log 100 = 2.How does exponential growth utilise e?
e is the constant growth rate that all processes that are growing continuously share. With e, you may compare a simple growth rate—where all change occurs at the end of the year—with a compound, continuous growth rate, where growth occurs once per nanosecond or quicker.Learn more about logarithm
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How many 3/10 size pieces are in 3 wholes?
Answer:
10
Step-by-step explanation:
3 = [tex]\frac{30}{10}[/tex] , then
[tex]\frac{30}{10}[/tex] ÷ [tex]\frac{3}{10}[/tex]
= [tex]\frac{30}{10}[/tex] × [tex]\frac{10}{3}[/tex] ( cancel the 10's )
= [tex]\frac{30}{3}[/tex]
= 10
5. A bird is at 20 feet above sea level. A fish is 14 feet below sea level. What is the difference?
Answer:
it's either 6 or -6 because if uts Like negative and positive then it should be either one of those
Answer:
Step-by-step explanation:
34
adding and subtracting polynomial (5w3+3w2–6w–7)–( – 5w2+8w–2)
Answer:
5w^3+8w^2-14w-5
Step-by-step explanation:
8p + 4 = −9 + 7p help
The given equation is 8p + 4 = −9 + 7p.The value of p is -13.
The required solution for the given equation is p = -13
A linear equation only has one or two variables. No variable in a linear equation is raised to a power greater than 1.There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.
Now the given equation is,
8p + 4 = −9 + 7p
Solving them,
Taking variables to one side and constant to another, we get
8p-7p=-9-4
p=-13
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ASAP PLEASE HELP IF RIGHT ANSWER WILL GIVE BRAINLIEST, 15 POINTS, AND 5 STAR OVERALL!!!! IF WRONG ANSWER OR INVALID WILL REPORT, PLEASE, PLEASE, PLEASE!!
Answer:
D
Step-by-step explanation:
Answer:
D [tex]y = - 5 - 17[/tex]
Step-by-step explanation:
To make y the subject of formula in:
[tex]5x + y = - 17[/tex]
Mover 5x to the other side of the equation which makes it -5x due to the equality sign
Therefore:
[tex]y = - 5 - 17[/tex]
In the figure below, find the value of X.
2
45
X
Y
answer is 38
good right?
Tank B, which initially contained 80 liters of water, is being drained at a rate of 2.5 liters per minute. How many liters of water remain in the tank after the following amounts of time?
a. 30 seconds
b. 7 minutes
c. t minutes
Solve each equation by factoring. Check your answers.
x²-7 x+12=0
Answer:
x = 4,3
Step-by-step explanation:
x²-7 x+12=0
(x-4) (x-3) = 0
x-4=0 x-3=0
x=4 x=3
Solve each equation. Check for extraneous solutions. √2 x+9 - √x=3
the extraneous solution for the equation √(2 x +9) - √x = 3 is x = 0 or x = 6.
We are given an equation:
√(2 x +9) - √x = 3
√(2 x +9) = 3 + √x
Raise both sides to the power 2, we get that:
2 x + 9 = 9 + x + 6√x
x = 6√x
Squaring both sides again, we get that:
x² = 6 x
x² - 6 x = 0
x ( x - 6) = 0
x = 0 or x = 6.
Therefore, we get that, the extraneous solution for the equation √(2 x +9) - √x = 3 is x = 0 or x = 6.
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Given m || n, find the value of x and y.
(3x+17) (2y+14)°
(6x-16)⁰
Check the picture below.
[tex]3x+17=6x-16\implies 17=3x-16\implies 33=3x\implies \cfrac{33}{3}=x\implies \boxed{11=x} \\\\[-0.35em] ~\dotfill\\\\ (3x+17)+(2y+14)=180\implies 3x+2y+31=180 \\\\\\ 3\stackrel{x}{(11)}+2y+31=180\implies 33+2y+31=180\implies 2y+64=180 \\\\\\ 2y=116\implies y=\cfrac{116}{2}\implies \boxed{y=58}[/tex]
If (f⁰g)(x)=x²-6 x+8 and g(x)=x-3 , what is f(x) ?
Value for f(x) = x² - 12x + 35
What is the domain of the function f(x)?Given :
(f⁰g)(x) = x²-6 x+8
g(x) = x-3
Now ,
(f⁰g)(x) = f(g(x))
x²-6 x+8 = f(x-3)
let x = x-3
f(x) = (x-3)² - 6(x-3) + 8
f(x) = x² + 9 - 6x - 6x + 18 +8
f(x) = x² - 12x + 35
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George has two routes that he likes to use for walking. He can walk 672 yards in 6 minutes on Path A, and he can walk 984 yards in 8 minutes on Path B. How many more yards per minute can George walk on Path B?
Answer:
11 more yards per minute on Path B.
Step-by-step explanation:
Path A: 672 yards in 6 minutes = 112 yards per minute.
Path B: 984 yards in 8 minutes = 123 yards per minute.
123 - 112 = 11 yards per minute longer on Path B.
Answer:
156 yards per minute
Step-by-step explanation:
first off remember to have a label
it is change in Y over change in X so
984-672/ 8-6
you could get 312/2
which equal 156
I attached a photo to make it clear
Does anybody know the answer to this problem?
Answer:
9. (1/3)
10. (0, -2)
11. y = (1/3)x - 2
Step-by-step explanation:
(x₁, y₁) and (x₂, y₂)
(-3, -3) (0, -2)
9.
y₂ - y₁ -2 - (-3) -2 + 3 1
m = ------------ = ------------ = ------------ = -------
x₂ - x₁ 0 - (-3) 0 + 3 3
10.
y = (1/3)x - 2
y = -2
y-intercept: (0, -2)
11.
y - y₁ = m (x - x₁)
y - (-3) = (1/3) (x - (-3)
y + 3 = (1/3) (x + 3)
y + 3 = (1/3)x + 1
-3 -3
y = (1/3)x - 2
I hope this helps!
A. -1/2
B. -2
C. 2
D. 1/2
Need help quickly!
Answer:
C 2
Step-by-step explanation:
Slope is change is y over the change in x
[tex]\frac{5- (-1)}{3-0}[/tex] = [tex]\frac{6}{3}[/tex] = 2
Answer:
C. 2
Step-by-step explanation:
Point F is between points T and K.
The points are collinear.
Answer:
the answer isssssssssssssß
PLEASE HELP ME ASAP!
graph f(x)= -2|x+4|
use the khan academy graph
Answer:[tex]f\left(x\right)\le \:0[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\le \:0\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:0]\end{bmatrix}[/tex]
If your skateboarding on top of a small hill and take a break. You have 100 J of potential energy. If your mass is 80 kg, how high is the hill your skating on?
The height of the hill is 12.8 cm.
What is Gravitational potential energy?
The gravitational potential energy of an object is given by:
U = mgh
where,
m is the mass of the object.
g is the acceleration of gravity.
h is the height of the object.
Given that;
The potential energy = 100 J,
In this problem, we have;
The potential energy of the person is = U = 100 J
The mass of the person = m = 80 kg
Now, Solving for h, we find at what height the person is:
h = U /mg
h = 100 / 80*9.8
h = 12.8 cm
Hence, The height of the hill is 12.8 cm.
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express the terms of the following geometric sequence recursively 3,6,12,24,4&
Answer:
aₙ = 2aₙ₋₁ for n ≥ 2
a₁ = 3
Step-by-step explanation:
A geometric sequence can be expressed recursively using the following general equation
aₙ = r . (aₙ₋₁), n ≥ 2
where
aₙ is the nth term
a₁ is the first term of the geometric sequence
r is the common ratio = aₙ/aₙ₋₁
Here we have the terms 3, 6, 12, 24, 48
The common ratio r = 6/3 = 12/6 = ....... = 48/24 = 2
The first term a₁ = 3
So the recursive relation is
aₙ = 2aₙ₋₁ for n ≥ 2
a₁ = 3
A sofa is on sale for 66% off. The sale price is $231.20.
The regular price of the sofa if 66% is given off, is $680.00
What is regular price?
The regular price of the sofa is the price at which it is sold without considering the coupon of 66%, in essence, it is 100% of the original price of the sofa, in short, if 66% is given off, then the sale price is 34% of the original price
34% of regular price=$231.20
1% of regular price=231.20/34
1% of regular price=$6.80
100% of regular price=$6.80*100
100% of regular price=$680
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Full question
A sofa is on sale for 66% off. the sale price is $231.20 . what is the regular price?
:
Circle Theorum!
We haven’t gone through it much, but have homework.
Answer:
38°
Step-by-step explanation:
1. Angles subtended at the circumference is half at the centre. Therefore angle at the centre is 61x2=122
2. Isosceles triangle have equal base angle. 19°
3. Tangent subtends 90° with the radius.
4. 90-19=71
5. 71x2=142°
6. Angles in a triangle add up to 180°
180-142=38°
If there's anyone who can actually like tell me th answer, please do. I don't understand this homework.
Answer:
domain is horizontal and range is vertical
Step-by-step explanation:
domain is left to right so you look for farthest point on the left side and range you look for the highest point
Evaluate v(x)=12-2x-5 when x=-2,0, and 5.
v(-2)=
v(0)=
v(5)=
v(x) = 12 - 2x - 5
v(-2) = 12 - 2×(-2) - 5 = 12 + 4 - 5 = 11v(0) = 12 - 2×(0) - 5 = 12 - 5 = 7v(5) = 12 - 2×(5) - 5 = 12 - 10 - 5 = -31. A $6,000 investment grows to $7,351.81 in 5.5 years. If the investment has compounded monthly,
determine the interest rate..
Answer:
3.7%
Step-by-step explanation:
You want the annual interest rate that results in an investment of $6000 growing to a value of $7351.81 in 5.5 years, when the interest is compounded monthly.
Account valueThe value of an account in which principal P is invested for t years at annual rate r compounded n times per year is ...
a = P(1 +r/n)^(nt)
ApplicationFor this problem, we have ...
a = 7351.81P = 6000n = 12t = 5.5These values make the equation be ...
7351.81 = 6000(1 +r/12)^(12 ·5.5) . . . . . . equation with given values
(7351.81/6000) = (1 +r/12)^66 . . . . . . . . divide by 6000
(7.35181/6)^(1/66) = 1 +r/12 . . . . . . . . . . rewrite fraction, take 66th root
(7.35181/6)^(1/66) - 1 = r/12 . . . . . . . . . subtract 1
(12)((735181/6)^(1/66) -1) = r ≈ 0.03700003
The interest rate is about 3.7%.
Write a function in terms of t that represents the situation.
A population of 100,000 decreases by 2% each year.
Answer:
Step-by-step explanation:
A 2% decrease each year means that the population at the end of a year is 98% of what it was at the start of the year. Apply this for t consecutive years and you get the relation
P(t) = Po (0.98)t
Po = 100,000
P(t) = 100,000 (0.98)t
what is the answer to the question below
Answer:
4 or -4
Step-by-step explanation:
The number on top (the numerator) is the absolute value of 8. This is just asking the distance from 0. 8 is 8 units away from zero, but so is -8.
So the answer could be [tex]\frac{8}{2}[/tex] or [tex]\frac{-8}{2}[/tex], the answer simplified would be 4 or -4
m∠ABC=(6x+8)° and m∠DEF=(12x−8)°. If ∠ABC and ∠DEF are supplementary, what is the measure of each angle?
A) m∠ABC = 68°; m∠DEF = 122°
B) m∠ABC = 47°; m∠DEF = 122°
C) m∠ABC = 47°; m∠DEF = 112°
D) m∠ABC = 68°; m∠DEF = 112°
Answer:
d is the correct answer
Step-by-step explanation:
m∠ABC = 68°; m∠DEF = 112°
Answer:
D is correct
Step-by-step explanation:
Supplemental angles add to 180
6x + 8 + 12x -8 = 180 Combine line terms
18x = 180 Divide both sides by 18
x = 10
Substitute 10 in for x
ABC
6x + 8
6(10) + 8
60 + 8
68
DEF
12x - 8
12(10) - 8
120 - 8
112
In a radio station contest, 20 people are eligible for a prize drawing. There will be 2
winners, and each winner gets two tickets to an upcoming concert. How many
different sets of 2 winners can be chosen?
Answer:
i think its 10 sets of 2 winners
Step-by-step explanation: