Answer:
8 feet
Step-by-step explanation:
4 parking spots ('4x'), three one-foot dividers = 35
4x + 3 = 35
4x = 32
x = 8
Answer: 8ft.
Step-by-step explanation:
Were doing this in class
Suppose you and a friend decided to produce counterfeit 100 Trillion notes to try and make money selling them on Ebay. Because of the new influx of $100 trillion notes, the Ebay price decreases from USD$200 to just USD$50, over 4 weeks.This corresponds to a monthly inflation rate of 400%, since 4 notes are worth what 1 note was a month before.
Assuming this devaluation continues at the same rate, how much will the notes be worth in a years time? What is that yearly inflation rate?
The valuation of the notes in a years is given as follows:
y = 200(0.00000006)^a.
The yearly inflation rate is of:
1,666,666,667%
How to model the situation?The valuation changed by a percentage in a period of time, hence an exponential function is used to model the situation.
An exponential function is defined as follows:
y = a(b)^x.
For which the parameters are given as follows:
a is the initial value.b is the rate of change.The initial valuation is of $200, hence the parameter a is given as follows:
a = 200.
Thus the function should be modeled as follows:
[tex]y = 200(b)^a[/tex]
In which a is the time in years.
In one month, the amount decayed to $50. One month is 1/12 of a year, as one year is composed by 12 months, hence the parameter b is obtained as follows:
[tex]50 = 200(b)^{\frac{1}{12}}[/tex]
[tex](b)^{\frac{1}{12}} = \frac{50}{200}[/tex]
[tex](b)^{\frac{1}{12}} = \frac{1}{4}[/tex]
Elevating both sides to 12, we have that:
b = (0.25)^12
b = 0.00000006.
Hence the function is:
y = 200(0.00000006)^a.
The inflation rate is given as follows:
1/0.00000006 x 100% = 1,666,666,667%
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What are the coordinates of point Q?
Answer:
(4, 2.5)
Step-by-step explanation:
Khalil's birthday party costs $11, plus an additional $9 for each guest he invites. Is the total cost directly proportional to the number of guests?
Answer:
20, yes
Step-by-step explanation:
11+9=20
If he is charged $9 for each guest then it will make a huge impact to the number of guests.
Which value is an exact solution of the equation
Answer:
it's B
Step-by-step explanation:
becaus the exact form of m is the square root of 14
pls mark as brainliest lol
Answer:
[tex]\sqrt{14}[/tex]
Step-by-step explanation:
m is squared, so it would have to be the square root.
If a temperature at 9pm i one third the temperature at midnight then what i the anwer ?
-4°F is equal to -20°C, or 253°K, which is the temperature above absolute zero. Thus, the temperature at midnight was 759°K, or almost 1400°F.
What is temperature ?The physical concept of temperature indicates in numerical form how hot or cold something is.
A thermometer is used to determine temperature.
Thermometers are calibrated using a variety of temperature scales, which historically defined distinct reference points and thermometric substances.
The most popular scales are the Celsius scale, sometimes known as centigrade, with the unit symbol °C, the Fahrenheit scale (°F), and the Kelvin scale (K), with the latter being mostly used for scientific purposes. One of the seven base units in the International System of Units is the kelvin (SI).
The lowest point on the thermodynamic temperature scale is absolute zero, or zero kelvin, or 273.15 °C. It can be very closely approximated experimentally but never actually reached, as stated in the third rule of thermodynamics.
Hence, -4°F is equal to -20°C, or 253°K, which is the temperature above absolute zero. Thus, the temperature at midnight was 759°K, or almost 1400°F.
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11a + 12b = does it equal 23ab or not
Answer:
no it doesn’t.
Step-by-step explanation:
The times taken by 25 people to complete a puzzle are shown. Draw a frequency polygon for data.
To create a frequency polygon calculate the midpoint, locate the midpoints and connect them with lines.
What is a frequency polygon?A frequency polygon is a form of graph that shows how frequently a particular variable—in this case, the amount of time it takes for people to finish a puzzle—occurs.
So, we must determine the midpoint or average of the range for each category.
0 < t < 10 = 5
10 < t < 20 = 15
20 < t < 30 = 25
30 < t < 40 = 35
2. Add a point where the data of the axis Y and X form an intersection.
3. Connect the points.
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In a closed system, an object with a mass of 1.5 kg collides with a second object. The two objects then move together at a velocity of 50 m/s. The total momentum of the system is 250 kg⋅m/s. What is the mass of the second object?
The mass of the second object will be 3.5 kg.
What is momentum?In Newtonian mechanics, momentum is calculated as the sum of an object's mass and velocity. It has both a magnitude and a direction, making it a vector quantity.
According to the collision theory, for a chemical reaction to take place, the reacting particles must come into contact with one another. The frequency of collisions affects the reaction's rate. According to the idea, responding particles frequently encounter without reacting.
The final momentum will be calculated by the expression given below,
(m₁ + m₂ ) V=250
( 1.5 + m₂ 0 x 50 = 250
1.5 + m₂ = 5
m₂ = 5 - 1.5
m₂ = 3.5 kg
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A straw is placed inside a rectangular box that is 9 inches by 5 inches by 4 inches, as shown. If the straw fits exactly into the box diagonally from the bottom left corner to the top right back corner, how long is the straw? Leave your answer in simplest radical form?
Answer:
sq rt 122
Step-by-step explanation:
if the box is 9 inches length (base) then this applies
First find the base diagonal then find the furthest top to base diagonal after.
Pythagoras theorem
Base diagonal
9^2 + 5^2 = c^2
(sqrt) of 81+25 = c^2
(sqrt) of 106 = c^2 = 10.29563 inches
= 10.3 inches.
larger diagonal
We note the height is 4inches and we add this again squaring all digits on calculator
10.29563^2 + 4^2 = c^2
(sqrt) 121.999997 = c^2
= 11.045361017187261 = 11.08 = 11.1 inches
Radical form = sq rt 122
The diagonal of the straw in radical form is √122 inches.
What is rectangular prism?A rectangular prism is a 3-dimensional solid shape which has six faces that are rectangles. A rectangular prism is also a cuboid.
The rectangular box is in the shape of rectangular prism.
For the given situation,
Length of the rectangular box, l = 9 inches
Breadth of the rectangular box, b = 5 inches
Width of the rectangular box, w = 4 inches
The formula to find the diagonal of the rectangular prism is
[tex]d=\sqrt{l^{2}+b^{2}+w^{2} }[/tex]
⇒ [tex]d=\sqrt{9^{2}+5^{2}+4^{2} }[/tex]
⇒ [tex]d=\sqrt{81+25+16}[/tex]
⇒ [tex]d=\sqrt{122}[/tex]
Hence we can conclude that the diagonal of the straw in radical form is √122 inches.
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A circle has a diameter of 26 units. What is the area of the circle to the nearest hundredth of a Square unit?
Answer:
Your answer is 539.93
Step-by-step explanation:
A = pi*r²
A = pi* 13²
A = pi*169
A = 539.93
Please help easy
A) 30/40
B)22/40
C)18/40
D)10/40
Answer:
D
Step-by-step explanation:
If you deposit $8,000 into an account paying 6% simple interest, how long until there is $13,000 in the account? Round to the nearest
tenth
• The balance of the account will be $13,000, in
years.
After 10 years the balance of the account will be $13000.
What is simple interest?
A simple interest is one that does not compound anyway. In this system, a creditor only pay interest on the initial amount and the rate of interest is not changed during the time period.
How many years needed to reach the required amount?
given, initial deposit money = initial principal amount = $8000
initial money is denoted by P
interest rate (annually), r = 6%
generally, simple interest is annual.
expected amount after t years = final amount = $13000
final amount is denoted by A.
t is the time in years.
According to the formula for simple interest, A = P (1 + rt)
$13000 = $8000(1 + 6/100×t)
$13000/ $8000 = (1 + 0.06t)
(1 + 0.06t) = 1.625
0.06t = 0.625
t = 10.417 years or t = 10 years
Therefore, after 10 years the balance of the account will be $13000.
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ALGEBRA 2 - Exponential and Logarithmic Functions
John invests $25,000 in an account that pays 4.75% annual interest compounded continuously. How many years, to the nearest tenth, will it take for John’s investment to triple?
Answer:
The equation you would use to solve this problem is:
A = P * e^(rt)
Where A is the final amount, P is the initial amount, r is the interest rate, and t is the number of years.
We can rearrange the equation to solve for t:
t = (ln(A/P)) / r
Plugging in the values we know:
t = (ln(3*25000/25000)) / (0.0475)
t = (ln(3)) / (0.0475)
t = 4.93 years
So it will take about 4.9 years for John's investment to triple, to the nearest tenth.
Step-by-step explanation:
GIVING BRAINLIEST! HELP
Answer:
Below
Step-by-step explanation:
125 kg * 2.204 pound/kg = 275.5 pounds
Answer:
D. 275.5 pounds
Step-by-step explanation:
1 kg = 2.204 lbs
=> 125 kg = (125 kg)(2.204 lbs/1 kg) = 275.5 lbs
Please if anyone can provide the answer I will manifest tranquility for eternity upon you, I have the brain capacity of an infant
Answer:
the ?=4
Step-by-step explanation:
i got it on desmos basically the vertex is 4 high so you would need to add 4 to get it up there
Write the equation of the line, that passes through the points (- 6, 1) and (10, 0)
Equation:
Now, write an equation of a line that is parallel to the above line and passes through point (-7, 2) in all three forms below.
Point-Slope Form
Slope-Intercept Form
Standard Form
The equation of the line, that passes through the points (- 6, 1) and (10, 0) is y = - (1/16)x + (5/8) and the equation of a line that is parallel to the above line and passes through point (-7, 2) is y = - (1/16)x + (25/16).
What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
{m} - slope.
{c} - intercept along the y - axis.
Given is that the line passes through the points (- 6, 1) and (10, 0).
The slope of the line will be -
{m} = (0 - 1)/(10 + 6) = -1/16
{m} = -1/16
We can write the equation as -
y = - (1/16)x + c
For the point (10, 0), we can write -
0 = - (1/16) x 10 + c
0 = - (10/16) + c
c = 10/16
c = 5/8
So, we can write the equation as -
y = - (1/16)x + (5/8)
The equation of a line that is parallel to the above line and passes through point (-7, 2) is as follows -
y = - (1/16)x + c
2 = - (1/16) x - 7 + c
c = 2 - 7/16
c = 25/16
y = - (1/16)x + (25/16)
Therefore, the equation of the line, that passes through the points (- 6, 1) and (10, 0) is y = - (1/16)x + (5/8) and the equation of a line that is parallel to the above line and passes through point (-7, 2) is y = - (1/16)x + (25/16).
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We take a sample of 80 observations from a large population with a mean of 1460 and a standard deviation of 270. The probability that the sample mean is between 1300 and 1400 is:
The probability that the sample mean is between 1300 and 1400 is approximately 1.34%.
We can use the Central Limit Theorem and the standard normal distribution to calculate the probability that the sample mean is between 1300 and 1400. The Central Limit Theorem states that as the sample size increases, the distribution of the sample means will approach a normal distribution, regardless of the distribution of the population.
Since we have a sample of 80 observations, we can assume that the sample mean follows a normal distribution with a mean of 1460 (the population mean) and a standard deviation of:
Standard deviation of the sample mean
= population standard deviation ÷ [tex]\sqrt {sample size[/tex]
[tex]= 270 \div \sqrt{80} = 27[/tex]
So the standard deviation of the sample mean is 27.
We can now standardize the interval between 1300 and 1400 by subtracting the mean and dividing it by the standard deviation of the sample mean.
[tex]Z_1[/tex] = (1300 - 1460) / 27 = -2.59
[tex]Z_2[/tex] = (1400 - 1460) / 27 = -2.22
We need to find the area under the standard normal distribution curve between Z1 and Z2.
Using a standard normal table or a calculator with the standard normal distribution function, we can find the probability that a random variable from the standard normal distribution is between -2.59 and -2.22. This probability is approximately 0.0134 or 1.34%.
Therefore, the probability that the sample mean is between 1300 and 1400 is approximately 1.34%.
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Find the solutions to x² = 24.
OA. x= 16-√4
B. x = +2√6
O C.
x = +6√ √2
OD. x +4√6
Answer:
x = 2[tex]\sqrt{6}[/tex]
Step-by-step explanation:
[tex]\sqrt{24}[/tex] = [tex]\sqrt{(2)(2)(2)(3)}[/tex] We can pull out a pair of 2's
2[tex]\sqrt{(2)(3)\\}[/tex] = 2[tex]\sqrt{6}[/tex]
n/5+4 = -4. I need help very bad please
In order to get the value of n, which is what we are trying to find, it is important to know how to isolate the variable.
When something is added to n, you subtract to isolate n. Going with this logic, you would multiply by a number if you wanted to isolate n with a fraction.
[tex]\frac{n}{5}+4=-4[/tex]
The first step would be to get rid of the 4 on the left side so we can work on the variable. We can do this by subtracting both sides by 4, so the left side cancels out to 0.
[tex]\frac{n}{5}+4-4=-4-4[/tex]
[tex]\frac{n}{5} =-8[/tex]
Next, we can multiply both sides by 5, so we can isolate the variable, because it is being divided by 5.
[tex]\frac{n}{5} *5=-8*5[/tex]
n=-40
For each situation, make a tree diagram to show the sample space. Then give the total number of outcomes.
choosing a silver, black, or red CD player and choosing a rock, country, or rap CD
a. 3
c. 9
b. 6
d. 12
Answer:
C. 9
Step-by-step explanation:
3 color choices of CD player x 3 choices of music = 9
If x = 7 − p and y = 3p + 4, which of the following
expresses y in terms of x ?
f. 17-x
g. 25-x
h. 17-3x
j. 25-3x
k. 25-3x
Answer:
y = 25 - 3x
Step-by-step explanation:
x = 7 - p ⇒ p = 7 - x
y = 3(7-x) + 4
y = 21 - 3x + 4
y = 25 - 3x
Are 3 4 5 triangles always right?
No, three 4 5 triangles are not always right triangles.
A right triangle is a triangle in which one of the angles is a right angle (90°). Therefore, in order to be a right triangle, the following criteria must be met: a^2 + b^2 = c^2, where c is the longest side and a, b are the other two sides. In a 3 4 5 triangle, the longest side is 5, so a^2 + b^2 = c^2 becomes 3^2 + 4^2 = 5^2. Using simple algebra, this equation becomes 9 + 16 = 25, which is true. Therefore, a 3 4 5 triangle is a right triangle. However, if one of the sides is different, for example a 3 4 6 triangle, the equation becomes 9 + 16 = 36, which is not true. Therefore, a 3 4 6 triangle is not a right triangle. To summarize,3 4 5 triangles are right triangles, but three 4 6 triangles are not.
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yeaahhhh help please i beg for your help -^-
Answer:
48
Step-by-step explanation:
Since it is a triangle, it should add up to be a total of 180 degrees.
I took 64 + 68 = 132
Since there's a missing angle, you can take 180 - 132 = 48
All the angles should add up to 180 so 64 + 68 + 48 = 180
Your welcome !!
what is the value of x?
Answer:119
Step-by-step explanation:
because it's on oppisite sides on the outside
Answer:
C) 119°------------------------------
The two given two angles are alternate exterior angles and therefore congruent according to alternate exterior angles theorem:
x = 119°Definition:
Alternate exterior angles are the pair of angles that are formed on the outer side of the parallel lines but on the opposite side of the transversal.Please help don’t give link if your right you get brainliest
Answer:
rotation, dilation
Step-by-step explanation:
On the question it shows how it is supposed to be ordered, triangle LMN is similar to triangle PQR which means LM and PQ are similar sides and MN and QR are similar, etc.
it is rotation because the P is facing the left side while L is facing upward.
it is dilation because triangle PQR shrunk into a smaller triangle.
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HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
first Q . mirror
Second Q. sight and touch
Answer: Smoothest surface: mirror
senses being used: sight and touch
hope this helps!
Step-by-step explanation:
A scuba diver is at a depth of -14 ft. Her
elevation changes -2 ft per second. How many
seconds will it take her to reach a depth of
79ft? Write and solve an equation.
On solving the provided question, we can say that - by the help of unitary method seconds will it take her to reach a depth of 79ft is = 39.5
What is unitary method ?The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.
here,
scuba diver is at a depth of = -14 ft
elevation changes = -2 ft per second.
seconds will it take her to reach a depth of 79ft is = 39.5
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You need to use 4/5 cups of strawberries for a single pie how many cups are needed for 2 pies i know the answer is 13/5 but how do you work that out
Answer:
8
Step-by-step explanation:
Given: (↔AB) ║ (↔CD)
If the coordinates of point A are (8 , 0) and the coordinates of point B are (3 , 7), the y-intercept of (↔AB) is (?) . If the coordinates of point D are (5 , 5), the equation of line (↔CD) is y =(?) x +(?).
can someone please help me figure out what the (?) is.
Answer:
1. 56/5
2. -7/5
3. 12
Step-by-step explanation:
help meh...............
Answer:
Angles 6, 4, and 2 are congruent to angle 8.
Step-by-step explanation:
By the Opposite Angles Theorem, angle 6 is congruent to angle 8.
By the Corresponding Angles Theorem, angle 4 is congruent to angle 8.
By the Corresponding Angles Theorem, angle 2 is congruent to angle 6, and angle 6 is congruent to angle 8, so angle 2 is congruent to angle 8 by the Transitive Property.