A deli makes potato, macaroni, three bean, Caesar, 7-layer, and Greek Salads. The deli randomly makes only four salads each day. What is the probability that the four salads made in one day are 7-layer, macaroni, Greek, and potato?
how do you solve this
Solve the following system of equations graphically.
x = -5
y = -6
What is the solution set?
{(-6, -5)}
{(-5, -6)}
∅
Write a function in terms of t that represents the situation.
Your starting annual salary of $35,000 increases by
4% each year.
With instructions on how you did it please!!!
To represent the situation, the function can be written as f(t) = 35000 × (1 + 0.04)^t, where t represents the number of years into the future.
Explanation:To write a function in terms of t that represents the situation, we can start with the initial salary of $35,000 and then calculate the annual increase using the 4% growth rate.
We need to multiply the current salary by (1 + 0.04) to get the new salary for each year. The function can be written as:
f(t) = 35000 × (1 + 0.04)^t
Here, t represents the number of years into the future from the initial starting point.
For example, if you want to find the salary after 3 years, you can plug in t = 3 into the function.
A function that represents your annual salary starting at $35,000 and increasing by 4% each year,
[tex]S(t) = 35000 * (1 + 0.04)^t[/tex], where t is the number of years.
To create a function that represents your annual salary starting at $35,000 and increasing by 4% each year,
we use the formula for exponential growth,
[tex]final amount = initial amount * (1 + growth rate)^t^i^m^e.[/tex]
Given that your initial salary is $35,000 and the growth rate is 4% (or 0.04),
let's define the function S(t) where S represents your salary and t represents the number of years:
[tex]S(t) = 35000 * (1 + 0.04)^t[/tex]
the initial salary=$35,000.
Convert the percentage increase to a decimal,
4% becomes 0.04.
Set up the function using the formula for exponential growth,
which is initial amount multiplied by [tex](1 + growth rate) ^t[/tex]
Thus, for any year t, the function [tex]S(t) = 35000 * (1 + 0.04)^t[/tex] calculates your annual salary.
Which measure is equivalent to 48 quarts? 1 cup = 8 fluid ounces 1 quart = 4 cups
A tennis Racquet costs $100 and is 30% off right now. Sales tax is 5.5%.
can you please explain how to do it?
A balloon that is tied to a stake in the ground is being blown sideways by the wind. The length of the string from the stake to the balloon is 26 feet, and the distance from the stake to a point directly under the balloon is 24 feet.
Part 2!
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Look at the picture!
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How do I find the slope of the line through (–9, –10) and (–2, –5)?
The area of a quarter circle is 0.785 square kilometers. What is the quarter circle's perimeter?
To find the perimeter of the quarter circle, the radius is first calculated using the area, and then the perimeter formula for a circle is applied, adjusting the final calculation to include the straight edges of the quarter circle.
The student has provided the area of a quarter circle and is seeking to find its perimeter. The area of the full circle can be found by multiplying the quarter circle area by 4, yielding an area of 3.14 square kilometers (since the area of a quarter circle is 0.785 square kilometers). Using the formula for the area of a circle, A = πr², we can solve for the radius (r).
Let's calculate the radius of the circle:
A = πr² = 3.14 km²r² = A/πr² = (3.14)/(3.1415927)r = 1 km (Here we're considering π to be approximately 3.1415927)Now, the perimeter (or circumference) of the full circle is given by the formula P = 2πr. For a quarter circle, the perimeter includes the arc of the quarter circle and the two radii.
The perimeter of the quarter circle is thus:
P = (1/4) × 2πr + 2rP = (1/4) × 2 × 3.1415927 × 1 km + 2 × 1 kmP = 1.57079635 km + 2 kmP = 3.57079635 kmBut since we know the measurements are to a certain precision, we must adjust our answer accordingly:
The final perimeter of the quarter circle, rounded to an appropriate number of significant figures based on the original measurement given, is approximately 3.57 km.
In a layout of Mark’s backyard, the ratio is 1 centimeter = 10 meters. The length of the deck on the layout is 4 cm and the width is 4 cm. What is the perimeter of Mark’s deck?
The perimeter of Mark's deck in real life is calculated by converting the layout measurements to actual measurements using the scale factor and then applying the perimeter formula. The perimeter is found to be 160 meters.
To calculate the perimeter of Mark's deck, which is represented on a layout where the scale is 1 centimeter = 10 meters, we use the perimeter formula for a rectangle: Perimeter (P) = 2 * (length + width). Since both the length and width of Mark's deck are provided as 4 centimeters each, and each centimeter corresponds to 10 meters in reality, we first convert the measurements from centimeters to meters by multiplying them by the scale factor.
Length in meters = 4 cm * 10 meters/cm = 40 meters
Width in meters = 4 cm * 10 meters/cm = 40 meters
Now, calculate the perimeter:
P = 2 * (40 meters + 40 meters)
P = 2 * 80 meters
P = 160 meters
The real-life perimeter of Mark's deck is 160 meters.
Match the Polynomials with their names.
What do you call a person who makes faces all day long
A person who makes faces all day is often described as expressive or animated, and may be humorously termed a 'mugger' or 'face-puller'. Facial expressions are crucial for conveying emotion in human interaction and can be particularly striking in literature and dramatic performances.
The question 'What do you call a person who makes faces all day long?' is asking about a term or description for someone who frequently changes their facial expressions. While there is no specific term that describes this behavior in a clinical or professional sense, in a colloquial context, you might call such a person expressive, animated, or if the expressions are humorous or exaggerated, a 'mugger' or 'face-puller'. In literature and drama, characters known for their expressive faces can bring a story to life or provide comic relief.
Facial expressions are an integral part of human communication. They can underscore the emotional state of a person, such as the sense of pride on the face of a monomaniacal king, the devotion seen in a religious fanatic, or the terror described in the imagery of wallpaper patterns appearing to have expressive eyes. Whether in social interactions, literature, or public speaking, the alignment of facial expressions with spoken words is important for conveying meaning and emotion.
Each small cube is 1 cm3. The length of the large cube is 12 cm. What is the volume of the large cube? A. 24 cm3 B. 144 cm3 C. 864 cm3 D. 1,728 cm3
Answer:
d
Step-by-step explanation:
The radius of a circular hat is 3.7 inches. Find the circumference. Use 3.14 for π. (1 point)
1.85 in.
11.618 in.
23.236 in.
22.2 in.
Answer:
The circumference is [tex]23.236\ in[/tex]
Step-by-step explanation:
we know that
The circumference of a circle is equal to
[tex]C=2\pi r[/tex]
we have
[tex]r=3.7\ in[/tex]
substitute
[tex]C=2(3.14)(3.7)=23.236\ in[/tex]
A sign in front of a roller coaster says ''you must be 40 inches tall to ride" what percentage of this height is A 34 inches and B 54 inches please answer both if you can thank you.
The percentage of height of A is 85% and the percentage of height of B is 135% and it can be evaluated by using unitary method.
Given :
To ride on roller coaster you must be 40 inches tall.
Unitary method is used to find the percentage of height of A and percentage of height of B. Single unit is determined first in the unitary method and than multiply the single unit to find the necessary value.
Applying unitary method to determined the percentage of height of A.
Divide 34 by 40.[tex]=\dfrac{34}{40}[/tex]
Multiply the above value by 100.[tex]=\dfrac{34}{40}\times 100[/tex]
= 85%
Again applying unitary method to determined the percentage of height of B.
Divide 54 by 40.[tex]=\dfrac{54}{40}[/tex]
Multiply the above value by 100.[tex]=\dfrac{54}{40}\times 100[/tex]
= 135%
The percentage of height of A is 85% and the percentage of height of B is 135% and it can be evaluated by using unitary method.
For more information, refer the link given below:
https://brainly.com/question/20196352
What is the constant of variation?
Isaac has 21 green marbles and 7 blue marbles. He wants to place them in identical groups without any marbles left over. What is the greatest number of groups Isaac can make? PLEASE ANSWER WITH WORK!!!
Answer:
7 groups.
Step-by-step explanation:
We have been given that Isaac has 21 green marbles and 7 blue marbles. He wants to place them in identical groups without any marbles left over.
To find the greatest number of groups Issac can make we will find the GCF of 7 and 21.
Factors of 7 are: 1, 7.
Factors of 21 are: 1, 7, 3, 21.
We can see that 7 is the greatest common factor of 7 and 21, therefore, Issac can make 7 groups from 21 green marbles and 7 blue marbles.
Let us find number of each type of marble is each group.
[tex]\text{Number of green marbles in each group}=\frac{21}{7}[/tex]
[tex]\text{Number of green marbles in each group}=3[/tex]
Therefore, there will be 3 green marbles in each group.
[tex]\text{Number of blue marbles in each group}=\frac{7}{7}[/tex]
[tex]\text{Number of blue marbles in each group}=1[/tex]
Therefore, there will be 1 blue marble in each group.
Ratio of dogs to cats is 9:4. If there are 54 dogs, how many cats?
If the triangle ABC is similar to the triangle DEF, estimate the area of triangle ABC if the area of the triangle DEF is 90
The area of triangle ABC, given that it is similar to triangle DEF with an area of 90, cannot be estimated without the ratio of corresponding sides. Areas of similar triangles are proportional to the square of the ratio of their corresponding sides.
Explanation:To estimate the area of triangle ABC given that triangle ABC is similar to triangle DEF, and the area of triangle DEF is 90, we first need to understand that the areas of similar triangles are proportional to the square of the ratio of their corresponding sides. However, without knowing the specific ratio of the corresponding sides of triangles ABC and DEF, we cannot calculate the exact area of triangle ABC.
For example, if we knew that every side of triangle ABC was twice as long as the corresponding sides of triangle DEF, the area of triangle ABC would be 4 times the area of triangle DEF, because the area is proportional to the square of the side lengths (2 squared is 4). In this case, if the area of DEF is 90, then the area of ABC would be 90 × 4 = 360.
Without the ratio of the sides, we can't directly calculate the area of triangle ABC from the area of triangle DEF. The relationship between similar triangles and their areas illustrates an important geometric principle, but requires specific information about the ratio of corresponding linear dimensions to make an estimation.
There is a line whose y-intercept is 7 and whose slope is 8. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
y = x +
How could you calculate each product? Describe the strategy you would use. Then calculate.
a) 9 x 5
b) 5 x 8
What components are important in a linear function?
Three brothers, Justin, Jared, and Jonathan decided to buy a present for their mom's birthday. Justin gave decided to spend 1/4 of his savings on the present, Jared said he will contribute 1/3 of his money, and Jonathan was willing to put in 2/5 of all he had. Each brother invested exactly the same amount of money and they bought a vase that costed $33.00. How much money did each boy have before the purchase?
Final answer:
Each brother spent $11 on the gift. To find their original savings, we calculate 4 * $11 for Justin, which is $44, 3 * $11 for Jared, which is $33, and 5/2 * $11 for Jonathan, which is $27.50.
Explanation:
The question is asking us to find out how much money each of the three brothers, Justin, Jared, and Jonathan, had before they each spent an equal amount on a present for their mom's birthday. They bought a vase for $33, and Justin spent 1/4 of his savings, Jared contributed 1/3 of his, and Jonathan gave 2/5 of his. We can set up an equation for each brother using the fact that they all spent the same amount, which we'll call 'x'. So for Justin, (1/4) * Justin's savings = x, for Jared, (1/3) * Jared's savings = x, and for Jonathan, (2/5) * Jonathan's savings = x. Since the total cost of the vase is $33, we know that 3x = $33 or x = $11. This means each brother spent $11.
Now, we can find out how much each had originally:
Justin's original savings: (1/4) of his savings is $11, so Justin had 4 * $11 = $44 before the purchase.Jared's original savings: (1/3) of his savings is $11, so Jared had 3 * $11 = $33 before the purchase.Jonathan's original savings: (2/5) of his savings is $11, so Jonathan had 5/2 * $11 = $27.50 before the purchase.which expression is equivalent to the expression shown?
Answer:
5 to the power of 8
Step-by-step explanation:
The table shows the number of students in a school who like rap and/or hip-hop:
Like Rap Do Not Like Rap Total
Like Hip-Hop 35 8 43
Do Not Like Hip-Hop 10 21 31
Total 45 29 74
What is the relative frequency, by row, of students who do not like rap or hip-hop?
0.17
0.68
0.72
0.81
Answer:
The correct answer would be 0.68. I just took the test, your welcome :)
Step-by-step explanation:
The relative frequency, by row, of students who do not like rap or hip-hop is:
0.68
Step-by-step explanation:Like Rap Do Not Like Rap Total
Like Hip-Hop 35 8 43
Do Not Like Hip-Hop 10 21 31
Total 45 29 74
The relative frequency by row of an outcome is calculated as the ratio of the frequency corresponding to the outcome to the total of the row.
Total of a row is: 31
The number of students who did not like Rap or Hip-Hop is: 21
Hence, the relative frequency is: 21/31=0.6777
which is approximately equal to 0.68
What is the correct answer for number 6
A batch of muffins needs to bake in the oven for 22 minutes. They need to cool for at least 15 minutes before they should be eaten. Wade puts the muffins in the oven at 10:17 am. Select true or false for each statement.
a) Wade can eat muffins at 10;39 pm
b) wade can eat muffins at 10:44 am
c)Wade should take the muffins out of the oven at 10:39 pm
d) Wade should take the muffins out of the oven at 10:39 am
Wade placed the muffins in the oven at 10:17 AM; they will be ready to eat after baking and cooling at around 10:54 AM. The statements about eating the muffins at 10:39 PM and taking them out at 10:39 PM are false, while the statement about taking them out at 10:39 AM is true.
Explanation:To calculate when Wade can eat the muffins we must add the baking time and cooling time to the time he put the muffins in the oven. Wade puts the muffins in at 10:17 am and the muffins need to bake for 22 minutes. After baking, they need 15 minutes to cool.
First, the muffins would be done baking at 10:39 am (10:17 am + 22 minutes). Then, after cooling for at least 15 minutes, Wade can eat the muffins at 10:54 am (10:39 am + 15 minutes).
a) False: Wade cannot eat muffins at 10:39 pm because this time is 12 hours after the correct time.b) False: Wade cannot eat muffins at 10:44 am because they will only have cooled for 5 minutes, which is not enough.c) False: Wade should take the muffins out at 10:39 am, not pm.d) True: This is the correct time for Wade to take the muffins out of the oven.At a ski resort there are three different chair lifts that will take you to the top of the mountain. There are six ski trails to the bottom of the mountain. How many different paths are there to go up and down the mountain?
100 POINTSS!!!!!
Which expression is equivalent to 1/3(4−5x−1) ?
−5x+3
−5/3x−1
−5/3x+1
−5x+1/3