Answer:
The first one-in green. 6x4=24, and there are four parts.
Step-by-step explanation:
Geneva treated her parents to dinner at their favorite restaurant. The bill was $88.75. Geneva wants to leave 17% of the total bill as a tip. How much should the tip be? Round to the nearest cent.
Answer:
$15.09
Step-by-step explanation:
88.75 x .17 =15.0875 round to nearest cent
15.09 rounded (thats the tip )
a certain radioactive isotope has leaked into a small stream. one hundred days after the leak 8% of the original amount of substance remained. Determine the half life of this radioactive isotope
Answer:
The half-life of a radioactive substance is the time it takes for half of the initial amount of the substance to decay. We can use the fact that 8% of the original amount remains after 100 days to determine the half-life of the isotope.
Let's assume that the initial amount of the substance is 1 unit (it could be any amount, but we're assuming 1 unit for simplicity). After one half-life, half of the original amount remains, or 0.5 units. After two half-lives, half of the remaining amount remains, or 0.25 units. After three half-lives, half of the remaining amount remains, or 0.125 units. We can see that the amount of substance remaining after each half-life is half of the previous amount.
We can use this information to set up the following equation:
0.08 = (1/2)^n
where n is the number of half-lives that have elapsed. We want to solve for n.
Taking the logarithm of both sides, we get:
log(0.08) = n*log(1/2)
Solving for n, we get:
n = log(0.08) / log(1/2) = 3.42
So the number of half-lives that have elapsed is approximately 3.42. Since we know that 100 days is the time for three half-lives (from the previous calculation), we can find the half-life by dividing 100 days by 3.42:
Half-life = 100 days / 3.42 = 29.2 days (rounded to one decimal place)
Therefore, the half-life of the radioactive isotope that leaked into the stream is approximately 29.2 days.
please help with this practice question
please help with steps
Answer:
Okay so, if he is getting a console for $17.50, then you first want to do is subtract that from the total amount that he has which is $49.
49 - 17.50 = $31.50
Now each game costs $5.25
You can either just keep adding 5.25 by itself until you get to 31.50, or you can just divide 31.50 by 5.25, but I am going to just multiply then by certain numbers until I get the result.
5.25 * 5 = 26.25 so we know he can buy more than 5.
5.25 * 6 = 31.50
He can buy 6 games!
Step-by-step explanation:
Hope it helps! =D
If there are 15 students at party each child eat 3/16 pizza how many pizzas to order
The table below shows some values that satisfy a linear function.
Х
Y
-5
0
-3
3
-1
6
1
9
3
12
What is the slope of the line that is represented by the values in the table above?
w
Answer:
3/2
Step-by-step explanation:
Truthfully, you only need two points for a linear equation, so I will only use two.
(-5, 0)
(-3, 3)
I will use the skeleton method to find the slope
((0) - (3))/((-5) - (-3)) -> -3/-2
The slope is 3/2
Ahmed is planning to cook his family dinner and needs to purchase several food items. He is able to purchase these items either at the local grocery store or the farmer's market. Given in the table are the items and their prices.
Grocery Store Farmer's Market
8 tomatoes for $13.20 10 tomatoes for $17.50
4 cups of mozzarella cheese for $4.60 3 cups of mozzarella cheese for $3.30
12 eggs for $3.00 7 eggs for $1.40
Part A: Choose one of the food items offered at the grocery store and the farmer's market and determine the unit price of the item at each location. Show all necessary work, including the name of the item chosen. (6 points)
Part B: Based on your answer in part A, which location offers a better deal? Explain
Part A: Grocery Store: unit price = $1.65 (Tomatoes)
Farmer's Market: unit price = $1.75
Part B: Grocery Store offers a better deal because the unit price is less.
How to determine the unit price of the item at each location?Unit price is defined as the price for one of something. For example, if 10 oranges cost $50, the unit price will be $50/10 = $5 i.e. $5 for one orange.
PART A:
Let's choose tomatoes
Grocery Store
8 tomatoes for $13.20
Unit price = $13.20/8 = $1.65
Farmer's Market10 tomatoes for $17.50
Unit price = $17.50/10 = $1.75
Part B:
The location that offers a better deal is Grocery Store. This is because the unit price is less.
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Question 2
A box contains 22 coloured pencils.
6 pencils are pink, 9 pencils are blue and 7 pencils are yellow.
Write down the ratio pink pencils : not pink pencils.
Give your answer in its simplest form.
Answer:
3/8 or 3:8
Step-by-step explanation:
pink : not pink
6 : 16
Think of it as a fraction. Simplify it in the same way.
6/16 simplifies to 3/8
So the pink:notpink ratio is 3/8 or 3:8
(x³ + 4x-15) + (x-2)
Answer:
If you are asking for it to be simplified or factored, the answer is:
x^3+5x-17
Answer: Factored = x^3+5x+−17
Step-by-step explanation:
Simplify:
x^3+4x−15+x−2
=x^3+4x+−15+x+−2
Combine:
=x^3+4x+−15+x+−2
=(x^3)+(4x+x)+(−15+−2)
=x^3+5x+−17
Navy’s Works At A Cell phone Store Monday To friday . She Earns $80 Per day plus $8 per Phone Sold . On tuesday , Nayva Makes at least $176 . Which Number Line Could be used to show the number of phones Navya Sold By The end Of her Shift On Tuesday
Answer Choices
Answer:
D.
Step-by-step explanation:
If She earns 80$ PER day + 8$ per phone sold and makes AT LEAST 176$ on Tuesday, You need to figure out how many phones she has sold by Tuesday.
Okay so now you need to set up your problem.
8x + 80 ≥ 176
Take away the 80, then take 80 from 176.
176 - 80 = 96
96 ÷ 8
x ≥ 12
Four people- Rob, Sonya, Jack, and Ang- enter their names into a drawing. The winner receives either a t-shirt or a mug, and which prize they receive is randomly selected. What is the probability that either Ang wins and is given a mug, or Jack wins (and is given either prize?) Write the answer as a precent.
Explanation:
The probability that Ang wins is 1/4 since he's one person out of the four total. This assumes each person has an equal chance at winning.
Once Ang wins, the chances of getting a mug are 1/2.
So the probability of Ang winning and getting a mug is (1/4)*(1/2) = 1/8
Meanwhile, the probability of Jack winning and getting either prize is 1/4, which we'll add to the previous result to get
1/8 + 1/4 = 1/8 + 2/8 = (1+2)/8 = 3/8
Then convert this to a percentage
3/8 = 0.375 = 37.5%
A car’s gas tank will hold 24 gallons when full. The car’s tank is presently 1/3 full. How much more gas will it take to fill the tank?
The additional gas it will take to fill the tank is 16 gallons
How much more gas will it take to fill the tank?From the question, we have the following parameters that can be used in our computation:
Capacity = 24 gallons
Current volume = 1/3 full
This means that
Remaning volume = 1 - 1/3
Evaluate
Remaning volume = 2/3
The additional gas it will take to fill the tank is
Additional = 2/3 * 24
Evaluate
Additional = 16
Hence, the additional gas it will take to fill the tank is 16 gallons
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Every day, Lebron's hot dog cart uses 1.25 pounds of ketchup. For how
many days will 8.75 pounds of ketchup last?
Please help me ASAP
Please help me
Answer:
The base of triangle b is 8 inches
A boy needs to grill 17 pounds of meat for a cookout. Determine the maximum cost per pound that he can afford, if he wants to spend at most $50 on this meat purchase?
Solution:
Let us denote by x the cost per pound. According to the problem, the inequality that describes the situation is:
\(17x\leq50\)then solving for x, we get:
\(x\leq\frac{50}{17}\text{ = 2.94}\)so that, we can conclude that the maximum cost per pound that he can afford is 2.94.
when should you use slope intercept form
Answer:
If given the slope and a point, use the point-slope form.
If given the slope and the y-intercept, use the slope-intercept form.
The two legs of a triangle are 300m ang 150m, respectively. The anle opposit the 150m side is 26 degress. What is the third side?
Answer:
335.4
Step-by-step explanation:
You can use the Pythagorean Theorem (a^2 + b^2 = c^2)
300^2 + 150^2 = 112500
The square root of 112500 is 335.4
_______ quadratic equations in standard form can be solved
using the quadratic formula.
No
All
Some
PLS HELP
The answer is All
Step-by-step explanation:
It has been proven that all quadratic equations can be solved with the quadratic formula.
What is the area, measured in square centimeters, of the triangle below? Do
not include units in your answer.
Answer here
Answer:
The area of this triangle is (1/2)(9)(8) = 36.
Use the tables below to find (p + a)(2).
*
p(x)
*
9(x)
. 4.
-1
4
1
2
3
2
-2
--3
2
-3
5
(p + 9)(2) =
+
Answer: 1
Step-by-step explanation:
1. (04.03 MC)
If a household is saving 35% of their total bi-weekly gross pay of $1,546.00, determine how many months it will take to save a 20% down payment and 2.5% for closing costs for a
property with a purchase price of $195,450.00. (2 points)
Answer:
38
Step-by-step explanation:
The Variance Inflationary Factor (VIF) measures the: a. correlation of the X variables with the Y variable. b. correlation of the X variables with each other. c. standard deviation of the slope. d. contribution of each X variable with the Y variable after all other X variables are included in the model. e. both a and b.
The X variables have an overall correlation of 0. VIF, or Variance Inflationary Factor, measures the
How much of an inflation variance factor is there?Regression analysis's level of multicollinearity is gauged by a variance inflation factor, or VIF. When several independent variables in some kind of a model with multiple regression correlate with one another, this is known as multicollinearity. The regression findings may be significantly impacted by this.
How high of a VIF is that?Greater correlation between the variable and other variables is indicated by a higher value. With values of Ten or more being considered very high, values greater than 4 or 5 are occasionally considered to be moderate to high.
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A newspaper regularly reports the air quality index for various areas of Southern California. A sample of air quality index values for Pomona provided the following data:
29, 43, 58, 49, 46, 56, 60, 49, and 51.
The Interquartile range of the distribution which is the difference between the upper and the lower quartile values is 12.5
Arranging the data in ascending order :
29, 43, 46, 49, 49, 51, 56, 58, 60The Interquartile range(IQR) :
IQR = Q3 - Q1
The Lower quartile (Q1) :
0.25(n + 1)th term ; n = number of terms = 9
Q1 = 0.25(10) = 2.5th term
Q1 = (43 + 46) / 2 = 44.5
The Upper Quartile (Q3) :
0.75(n + 1)th term ; n = number of terms = 9
Q3 = 0.75(10) = 7.5th term
Q3 = (56 + 58) / 2 = 57
Therefore, the Interquartile range, IQR = (57 - 44.5) = 12.5
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Given the unit circle what is the value of x
Hello there. To solve this question, we'll have to remember some properties about the unit circle.
Given the unit circle:
Notice we have a right triangle with opening angle theta and hypotenuse equals 1.
Therefore all the points in this unit circle have coordinates (cos(Θ), sin(Θ)).
To find the value of x, we first have to know that it is a point from the third quadrant, so the angle is between pi and 3pi/2.
In this case, cos is negative and so do sin.
We just have to make:
\(\sin (\theta)=-\frac{\sqrt[]{2}}{2}\)For an angle theta between pi and 3pi/2.
We know that sin(pi/4) = sqrt2/2. Also, from the identity sin(x + pi) = -sin(x), we have that:
sin(pi/4 + pi) = sin(5pi/4) = -sin(pi/4) = -sqrt2/2.
Therefore we say the angle theta is 5pi/4.
Taking its cosine, we have:
\(x=\cos \mleft(\frac{5\pi}{4}\mright)=-\cos \mleft(\frac{\pi}{4}\mright)=-\frac{\sqrt[]{2}}{2}\)Thus we have that the expressions between brackets are:
need help please with this problem
The surface area of the pyramid, in square feet is \(84.84\) \(ft^2\)
All the triangles are equilateral.
Here, the side of one triangle is perfectly in line with the side of the other triangle as seen in the net.
So, all the triangles are congruent and hence the area of all the triangles will also be equal.
Base of the triangle \(= 7\) ft.
Height of the triangle \(= 6.06\) ft
Area \(= \frac{1}{2} \times base \times height\)
Area \(= \frac{1}{2} \times 7 \times 6.06\)
Area \(= 21.21 ft^2\)
There are \(4\) triangles in the net.
So, total area \(= 4 \times 21.21\)
\(= 84.84 ft^2\)
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m+4= -12
Please answer I really need help!! Solve each equation. Put your answer in the form of m=__
Answer:
-16
Step-by-step explanation:
If y9u do 16-4=4 and then you just take the sign of the bigger number which is -16
Answer:
its probly 16
Step-by-step explanation:
On a coordinate plane, a line is drawn from point J to point K. Point J is at (negative 3, 1) and point K is at (negative 8, 11). What is the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:3? y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1 –6 –5 5 7
Answer: (-5, 5)
Step-by-step explanation:
J = (-3, 1) K = (-8, 11) ratio 2 : 3 --> 2 + 3 = 5 segments
x-distance from J to K: -8 - (-3) = -5 units
y-distance from J to K: 11 - 1 = 10 units
Divide those distance into 5 segments:
x = -5/5 = -1 unit per segment
y = 10/5 = 2 units per segment
The partition is 2 segments from J:
x = -3 +2(-1) = -5
y = 1 + 2(2) = 5
The partition is located at (-5, 5)
Answer:
5
Step-by-step explanation:
A rectangular park had a dirt path across its diagonal that was yards long. The diagonal and the long side of the park formed an angle that measured . A person walked along the sidewalks outside the park, from the start to the end of the path, as shown by the arrows. The diagonal dirt path that cuts across the rectangular park and the sidewalks outside the park form a right triangle. The dirt path is the hypotenuse and it is labeled 100 yards. The start of the sidewalk is adjacent to the 30-degree angle, and it is labeled X. The end of the path is opposite the 30-degree angle, and it is labeled Y. Which expression shows the distance that he walked?
Trigonometry functions are functions that relate two sides of a given triangle with one of its included angles.
The expression that shows the distance that he walked = x + y + 100
= 87 + 50 + 100
= 237 yards
Trigonometry functions are functions that relate two sides of a given triangle with one of its included angles. The required function may be a sine function, a cosine function, or a tangent function.
Such that;
Sin θ = \(\frac{Opposite}{Hypotenuse}\)Cos θ = \(\frac{Adjacent}{Hypotenuse}\)Tan θ = \(\frac{Opposite}{Adjacent}\)The given question can be solved by applying the appropriate trigonometric function.
So that to determine the value of x, we have:
Cos θ = \(\frac{Adjacent}{Hypotenuse}\)
Cos 30 = \(\frac{x}{100}\)
⇒ x = 100 cos 30
= 100 x 0.866
x = 86.60
Thus, the start of the sidewalk is approximately 87 yards.
To determine the value of sidewalk y, we have:
Sin θ = \(\frac{Opposite}{Hypotenuse}\)
Sin 30 = \(\frac{y}{100}\)
⇒ y = 100 x Sin 30
= 100 x 0.5
y = 50
Thus the sidewalk which represents the end of the path is 50 yards.
Therefore, the total distance that he walked = 100 + 87 + 50
= 237 yards
The expression that shows the distance that he walked = x + y + 100
= 87 + 50 + 100
= 237 yards
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a rectangle has a length of 5^3 units and a width of 5^2 units what is the area of the rectangle.
Answer:
Area = 3,125 units squared
Step-by-step explanation:
5^3= 5 x 5 x5 = 125
5^2= 5 x 5 = 25
Area = L x W = 125 x 25 = 3,125 ^2
PLS HELP ME WITH MY MATH
Answer:
-15
3
Step-by-step explanation:
-26 - 3x ≤ 19 and -8x ≥ -24
-3x ≤ 45 and x ≤ 3
x ≥ -15 and x ≤ 3