Solve -4(2x - 1) = -6(x + 2) - 2.
1) -5
2) 5
3) 9
4) -9
Answers
Answer:
The answer is x=9 so, its option 3.
Answer:
The answer to the question provided is 9.
Related Questions
If a number cube is rolled, what is the probability of rolling on a prime number
Answers
Answer:
1/2 chance
Step-by-step explanation:
A cube has 6 sides. 1, 2, 3, 4, 5, 6.
2, 3, and 5 are primes.
3/6=1/2.
definerewrite the pair of functions as one composite function. (be sure to use p as the independent variable.) f(t) = 8et; t(p) = 4p2
f(t(p)) = ____?
Answers
The composite function is f(t(p)) = 8e^(4p^2).
First, we need to substitute the expression for t in terms of p into the expression for f. We get:
f(t(p)) = 8e[t(p)]
Now, we can substitute the expression for t in terms of p:
f(t(p)) = 8e[4p^2]
Simplifying the expression, we get:
f(t(p)) = 8e^(4p^2)
Therefore, the composite function is f(t(p)) = 8e^(4p^2).
When working with functions, sometimes it is useful to combine them into a single composite function. To do this, we can substitute the expression for one function into the other and then simplify.
In this problem, we are given two functions, f(t) and t(p), and we are asked to write them as a single composite function using p as the independent variable.
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The teacher wants to make a fruit punch for the class party. She needs 30 quarts of juice. If there are 15 kids bringing in juice, how many pints should each person bring?
Answers
Answer:
4 pints
Step-by-step explanation:
30 quarts ÷ 15 kids = 2 quarts per kid
there are 2 pints in a quart so..
2 quarts per kid x 2 pints per quarter = 4 pints
You plan to retire in 30 years. After that, you need $75,000 per year for 20 years (first withdraw at t=31 ). At the end of these 20 years, you will enter a retirement home where you will stay for the rest of your life. As soon as you enter the retirement home, you will need to make a single payment of 2 million. You want to start saving in an account that pays you 8% interest p.a. Therefore, beginning from the end of the first year (t=1), you will make equal yearly deposits into this account for 30 years. You expect to receive $350,000 inheritance at t=30 from your late uncle and you will deposit this money to your retirement account. What should be the yearly deposits?
6587.25
7198.40
8066.36
8744.81
Answers
The yearly deposit needed to achieve the retirement goal is approximately $17,650.23. None of the given options match this amount, so the correct answer is not provided in the given options.
To calculate the yearly deposits needed, we can use the concept of future value of an annuity. The future value formula for an annuity is given by:
FV = P * [(1 + r)^n - 1] / r
Where:
FV = Future value of the annuity
P = Yearly deposit amount
r = Interest rate per period
n = Number of periods
In this case, the future value needed is $2 million, the interest rate is 8% (0.08), and the number of periods is 30 years. We need to solve for the yearly deposit amount (P).
Using the given formula:
2,000,000 = P * [(1 + 0.08)^30 - 1] / 0.08
Simplifying the equation:
2,000,000 = P * [1\(.08^3^0 -\) 1] / 0.08
2,000,000 = P * [10.063899 - 1] / 0.08
2,000,000 = P * 9.063899 / 0.08
Dividing both sides by 9.063899 / 0.08:
P = 2,000,000 / (9.063899 / 0.08)
P ≈ 2,000,000 / 113.298737
P ≈ 17,650.23
Therefore, the yearly deposit needed to achieve the retirement goal is approximately $17,650.23. None of the given options match this amount, so the correct answer is not provided in the given options.
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if the minimum amount of weight you could add to a 10 pound backpack someone was wearing (with them noticing) was 1 pound, how much would have to be added to a 100 pound backpack for them to notice?
Answers
Answer:
10 pounds
Step-by-step explanation:
given ratio weight:added weight=10:1
100:x=10:1
100/x=10/1
solving for x
100=10x
x=10
Find the slope-intercept equation of the line that passes through (1,-2) and has an undefined slope.
Answers
The slope - intercept equation of a line that would pass through (1,-2) and has an undefined slope, is y = -2 x
How to find the slope intercept equation?The slope - intercept equation takes the form:
y = mx + b
m = slope
b = y - intercept
When the slope is undefined, it means that there is no y - intercept as the slope is a vertical line which crosses the x - axis alone. The slope would therefore be :
y = mx
- 2 = 1 x
m = - 2
The slope - intercept form is:
y = -2 x
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The function $d\left(t\right)=\frac{1}{2}t+2$ represents the amount (in inches) of water in a rain barrel for six rainy days, where $t$ is the time (in days) since the rainfall began. a. Find the domain and range in this context.
Answers
The domain and the range are 0 ≤ t ≤ 6 and 2 ≤ d(t) ≤ 5, respectively
What is the domain of a function?The domain of the function is the set of input values the function can take
How to determine the domain and the range?The function is given as
d(t) = 1/2t + 2
Where t represents the number of days
And d represents the inches of rainfall
From the question, we have
Total number of days = 6
This means that the domain is 0 to 6.
This is represented as 0 ≤ t ≤ 6
For the range, we have
Set t = 0 in d(t) = 1/2t + 2
d(0) = 1/2(0) + 2 = 2
Set t = 6 in d(t) = 1/2t + 2
d(6) = 1/2(6) + 2 = 5
This means that the range is 2 to 5.
This is represented as 2 ≤ d(t) ≤ 5
Hence, the domain is 0 ≤ t ≤ 6 and the range is 2 ≤ d(t) ≤ 5
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The base of each triangle varies inversely with the height. what are the possible base is 14 and height of a second triangle if the first triangle's base is 14 and its height 6 is ?
Answers
The possible base and height of a second triangle are:
B = 5 H = 12What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental shape in geometry. Triangle ABC denotes a triangle with vertices A, B, and C. In Euclidean geometry, any three non-collinear points define a unique triangle and, by extension, a unique plane.To find the base and height of the triangle:
First, we must find the constant of variation (k).
The problem indicates that the base of each triangle varies inversely with the height.
So, this can be represented as below:
B = k/H
B is the base of the triangle (B=10). H is the height of the triangle (H=6). k is the constant of variation.When we clear "k", we obtain:
B = k/H k = BxH k = 10x6 k = 60Now, we have:
B = 60/HWe can give any value to "H" and you will obtain the base of the second triangle.
If H = 12, then:
B = 60/H B = 60/12 B = 5Therefore, the possible base and height of a second triangle are:
B = 5 H = 12Know more about triangles here:
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Please help ASAP.
Solve the quadratic equation by factoring.
9x^2+24x+20=4
A. x=-3/4
B. x=-4/3
C. x=4
D. x=4/3
Answers
Answer:
the answer is B x= -4/3
Step-by-step explanation:
9x^2+24x+20=4
9x^2+24x+20-4=0
9x^2+24x+16=0
(3x+4)^2=0
3x+4=0
3x=-4
x= -4/3
Henry bought a package of cough drops for $3.79. He gave the clerk a $5 bill. How much change should he receive?
Answers
Answer:
$1.21 he will recieve
Step-by-step explanation:
Subtract the price of the cough drops from $5
5-3.79 = 1.21
He gets $1.21 back.
State whether you have an open circle or a closed circle and what direction is shaded on the number line.5) X ≤ -56) X > 10Pls help me
Answers
When the inequality is < or > you put a open circle
When the inequality is ≥ or ≤ you put a closed circle
When the inequality is < or ≤ you shaded to the left
When the inequality is > or ≥ you shaded to the right
5)
\(x\leq-5\)Closed circle on -5 and shaded area to the left.
Inequality in red
6)
\(x>10\)Open circle on 10 and shaded area to the right
Inequality in red
Need help with 2-word problems, tysm if you do
Answers
Answer:
Step-by-step explanation: okay so, all you have to do is put for example, 4 quarters and 3 nickels. Nickels are 5 cents and quarters are 25. 25x4 is 100 which is a dollar. 5x3 is 15 which is 15 cents. Simple right? Now for this problem we do the same thing. 13 quarters is 13x25 which is 325, which is 3.25 cents. Now it says 3 nickels, which is 3x15, which is also 15 cents. Then you add that together and get $3.40 dollars. So the answer is C.
A local hamburger shop sold a combined total of 814 hamburgers and cheeseburgers on Wednesday. There were 64 more cheeseburgers sold than hamburgers.
How many hamburgers were sold on Wednesday?
Answers
Answer:
814 + 64 = 878
Step-by-step explanation:
just take the # from the previous day and add the 64.
When it says more, add when it says less, subtract.
WILL MARK BRAINLEST simplify the rational expression state any restrictions on the variable n^4-11n^2+/n^4-7n^2+10
A. N2-6/n^2-2 ;=with dash in it 5,n= with dash 2
B. -(n^2-6)/n^2-2; n=/ +-sqrt5,n=/ sqrt 2
C. N^2-6/n^2-2; n=/+-sqrt5 n=/+- sqrt 2
D. n^2-6/n^2-2:n=/5n=/-2
Answers
Answer:
\(\dfrac{n^2 - 6}{n^2 - 2}\)
\( n \neq \pm \sqrt{5} \)
\( n \neq \pm \sqrt{2} \)
Step-by-step explanation:
\( \dfrac{n^4 - 11n^2 + 30}{n^4 - 7n^2 + 10} = \)
\( = \dfrac{(n^2 - 5)(n^2 - 6)}{(n^2 - 5)(n^2 - 2)} \)
\(= \dfrac{n^2 - 6}{n^2 - 2}\)
The factor of the denominator that was removed is n^2 - 5.
Restrictions:
\( n \neq \pm \sqrt{5} \)
From the factor remaining in the denominator, we get
\( n \neq \pm \sqrt{2} \)
Answer:
\(\dfrac{n^2 - 6}{n^2 - 2}\)
\( n \neq \pm \sqrt{5} \)
\( n \neq \pm \sqrt{2} \)
X-2(x+10)=12 I have to find what x equals. Please help I am so confused
Answers
Answer:
X=24
Step-by-step explanation:
X-2(X+10)=20
x-4(x-10)=14
x-4x-40=14
3x-40=14
3x=54
3/54=24
x=24
Triangle def is formed by connecting the midpoints of the sides of triangle abc.
Answers
A triangle def is called a "midsegment triangle" and it is formed by connecting the midpoints of the sides of a triangle ABC.
The midsegment triangle is always parallel to the original triangle and has half the area. The three sides of the midsegment triangle are called the "midsegments" of the original triangle, and they are always parallel to the corresponding sides of the original triangle and have half the length.
A triangle defined by connecting the midpoints of the sides of triangle ABC is called a "midsegment triangle" or "medial triangle." The midsegment of a triangle is a line segment that connects the midpoints of two sides of the triangle and is parallel to the third side. The three sides of the medial triangle are the midsegments of the original triangle, and the three angles of the medial triangle are equal to one-half of the angles of the original triangle.
TriangleA triangle is a geometric shape that has three sides and three angles. It is a fundamental shape in Euclidean geometry and is one of the basic shapes in geometry. Triangles are classified based on their angles and sides, such as acute, right, and obtuse triangles. The sum of the angles in a triangle is always 180 degrees. Triangles can also be classified as equilateral, isosceles, or scalene based on the lengths of their sides. They are used in a variety of fields such as construction, engineering, and physics.
The triangle's characteristics are:A triangle's (of all varieties) total sum of angles is 180°.The length of a triangle's two longest sides added together is longer than the third side.Similarly to this, the length of the third side of a triangle third side is shorter than the difference between its two sides.The longest of a triangle's three sides is the side that faces the larger angle.A triangle's exterior angle is always equal to the product of its inner and exterior opposing angles. The outer angle attribute of a triangle refers to this characteristic.When the corresponding angles of two triangles match up and the side lengths are proportionate, two triangles are said to be comparable.Triangles have an area equal to one-half of their base and height.A triangle's perimeter is equal to the sum of its three sides.To know more about triangles on brainly : brainly.com/question/2773823
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3
厂
= 2
Estimate root
Answers
what is 1whole2/3 x 1whole1/5
Answers
Answer:
Step-by-step explanation:
\(1\frac{2}{3} \times 1\frac{1}{5} = \frac{5}{3} \times \frac{6}{5}\) (see note below for explanation)
\(=\frac{5\times 6}{3 \times 5}\)
\(=\frac{30}{15}\)
\(=2\)
NOTE:
\(1\frac{2}{3} =\frac{3}{3} +\frac{2}{3} =\frac{5}{3} \\\\1\frac{1}{5} =\frac{5}{5} +\frac{1}{5} =\frac{6}{5}\)
Jane is a new engineer at a factory, and part of her job is lowering the number of defective
parts produced. In her first month, there were 1,280 defective parts. In her second month,
there were 1,088 defective parts.
Write an exponential equation in the form y = a(b)* that can model the monthly number of
defective parts, y, x months after Jane was hired.
Use whole numbers, decimals, or simplified fractions for the values of a and b.
y = 1.8( )*
How many months after Jane was hired will the monthly number of defective parts be less
than 500?
Submit
months
Answers
The exponential function is \(y = 1505.88(0.85)^x\).
The monthly number of defective parts will be less than 500 about 7 months after Jane was hired.
What is an exponential function?
The formula for an exponential function is f(x) = a^x, where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.
To model the monthly number of defective parts, we can use an exponential equation of the form:
\(y=a(b)^x\)
Where y is the number of defective parts, x is the number of months after Jane was hired, a is the initial number of defective parts, and b is the common ratio between consecutive months.
To find the values of a and b, use the two data points given -
In the first month, there were 1,280 defective parts, which means that y = 1280 when x = 1.
In the second month, there were 1,088 defective parts, which means that y = 1088 when x = 2.
Substituting these values into the exponential equation -
1280 = a(b)
1088 = a(b)²
Dividing the second equation by the first equation -
1088/1280 = (a(b)²)/(a(b))
0.85 = b
Substituting b = 0.85 into the first equation -
1280 = a(0.85)
1280 = 0.85a
a = 1505.88 (rounded to two decimal places)
So the exponential equation that models the monthly number of defective parts is -
\(y = 1505.88(0.85)^x\)
To find when the monthly number of defective parts will be less than 500, we can set y = 500 and solve for x -
\(500 = 1505.88(0.85)^x\)
Dividing both sides by 1505.88 -
\(0.332 = (0.85)^x\)
Taking the logarithm of both sides (with any base) -
log(0.332) = x log(0.85)
Dividing both sides by log(0.85) -
x = log(0.332) / log(0.85)
x ≈ 6.87
Therefore, the monthly number of defective parts will be less than 500 about 7 months after Jane was hired.
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a survey of athletes at a high school is conducted, and the following facts are discovered: 43% of the athletes are football players, 56% are basketball players, and 4% of the athletes play both football and basketball. an athlete is chosen at random from the high school: what is the probability that they are either a football player or a basketball player? enter your answer as a percentage.
Answers
the probability that the randomly chosen athlete is either a football player or a basketball player is 99%.
To find the probability that the randomly chosen athlete is either a football player or a basketball player, we need to calculate the union of the probabilities.
Let's denote the probability of being a football player as P(F) and the probability of being a basketball player as P(B). We are given the following information:
P(F) = 43% = 0.43
P(B) = 56% = 0.56
P(F ∩ B) = 4% = 0.04 (since 4% play both football and basketball)
The probability that an athlete is either a football player or a basketball player can be calculated using the formula:
P(F or B) = P(F) + P(B) - P(F ∩ B)
Plugging in the values:
P(F or B) = 0.43 + 0.56 - 0.04
= 0.99
Therefore, the probability that the randomly chosen athlete is either a football player or a basketball player is 99%.
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Hi again so this problem I got stuck on can someone help me with this thank u so much and also I hope everyone had a good thanksgiving ❤️
Answers
Step by step:
A:
2x+8=-3.5x+19
2x+3.5x=19-8
5.5x=11
x=2
B:
9(x-2)=7x+5
9x-18=7x+5
9x-7x=5+18
2x=23
x=11.5
C:
3(3x+2)-2x=7x+6
9x+6-2x=7x+6
7x+6=7x+6
No solution
What is the distance between (8, -3) and
(4, -7)?
Answers
Answer:
10.770
Step-by-step explanation:
Sketch and solve the following triangles.
1. The legs of a right triangle measure 5cm and 12cm. What is the measure of its hypotenuse?
2. In ∆ABC and C is a right angle, if c = 12 and b = 10, find cos A.
3. In ∆ABC and C is a right angle, the opposite of ∠A = 12. if the hypotenuse = 13, find tan θ.
4. If sin A = \( \frac{15}{17} \) What is tan A?
5. If cot θ = \( \frac{7}{24} \) What is sec θ?
\(\large\tt{(Nonsense \: will \: be)} \\ \large \tt{( \: reported!)} \)
Answers
Answer:
#1
Use Pythagorean:
c² = a² + b²Apply to given and find c:
c² = 5² + 12²c² = 169c = √169c = 13 cm#2
cos = adjacent / hypotenusecos A = b/ccos A = 10/12 = 5/6#3
Assumed θ is ∠A, this is not too clearWe have:
a = 12c = 13We know that:
tan A = a/bFind b:
b = √c² - a² = √13²-12² = √25 = 5So
tan A = 12/5#4
Given
sin A = 15/17We know that:
sin A = a/c, so a = 15 and c = 17tan A = a/bFind b:
b = √c² - a²= √17²-15²= √64 = 8So
tan A = a/b = 15/8#5
Given
cot θ = 7/24We know:
cot = adjacent / oppositesec = 1/cos = hypotenuse / adjacentFrom the cot we have:
adjacent = 7, opposite = 24Hypotenuse is:
√24² + 7² = √625 = 25So,
sec θ = 25/7What is the LCM and LCD of 60 and 13
Answers
Answer:
LCM=780
Step-by-step explanation:
The least common denominator, also called lowest common denominator (LCD), of 60 and 13 is 780. Here is a math problem example where you need to know the LCD of 60 and 13 to solve: 3/60 + 2/13 = 780
A boy cycles at an average speed of 22 km/h . How long does it take him to travel 55 km ?
Answers
Answer:
Step-by-step explanation:
that is 55/22 = 2.5 hrs
Answer: .two and a half hours.
Step-by-step explanation:
22/1 = 55/x
22x=55
X=2.5
Which set of side lengths forms a right triangle? A) 5 cm, 6 cm,7 cm B) 2 cm, 4 cm, 6 cm C) 8 cm, 9 cm, 11 cm D) 8 cm, 15 cm, 17 cm
Answers
you’re welcome
How high is the hands of the superhero balloon above the ground? The hand is ____ feet above the ground.
Answers
Answer:
61 ft
Step-by-step explanation:
since it's equal
u look cute in that pfp
An office manager buys 34 chairs for the new office. Each chair cost $205. What is the total amount the office manager pays for chairs?
Answers
Multiply the number of chairs by the price of the chair:
34 x 205 = 6,970
Total spent = $6,970
3. 2(x − 3)
A) 2
B) −4
C) 2x − 6
D) 2x − 4 4)
Answers
Answer:
C
Step-by-step explanation:
multiply by 2 to be 2x-6
Answer:
x=8//
Step-by-step explanation:
2(x- 3)
or,2x-6
or,X=6+2
hence,X=8//
pleaseeee helpppp
Match each word with the phrase that best defines it
a Latin American dicator
adapt
cruel and oppressive rule by a
government
caudillo
to fit for a new use
occupation
the use of military power to control a
territory
tyranny
Answers
Answer:
Caudillo - A Latin American dictator
Tyranny - Cruel and oppressive rule by a government
Occupation - The use of military power to control a territory
Adapt - To fit for a new use