The total amount of money that was spent on lunch on Tuesday is $45.94.
What is the total amount spent on food?
The total amount that was spent on food on Tuesday can be determined by adding the amount spent on breakfast, lunch and dinner. Addition is the mathematical operation that is used to determine the sum of two or more numbers.
Total amount spent = 22.13 + 12.02 + 11.79 = $45.94
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In a field, water flows down through the soil and then through a layer of loose rocks before the flow stops.
What type of material did the water most likely encounter when it stopped?
a layer of granite
another soil layer
a layer of rocks with cracks
another layer of loose rocks
Answer:
A layer of granite
Step-by-step explanation:
This layer so granite is impervious hence is not porous. Due to its non-porosity, water cannot pass through it. These types of rocks are important in aquifers. When an impervious rocks sandwich a pervious layer or are below a pervious rock, an aquifer is created.
The type of material did the water most likely encounter when it stopped is, ''A layer of granite''.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Since, We get;
An igneous rock which is formed by the cooling of a molten body of rock and more cooling of the molten body of rock (magma) is a Granite. The surrounding rock is more dense than the the body of molten material and they rise in form of bulb shaped known as plugin.
After rising, the granite slowly cools down, visible crystals that makes up layers are formed during the slow cooling process.
Water hardly penetrate through a layer of granite because of it's dense nature. The layers of granite prevent the vertical movement of water.
In this case water pass through the layer of rock because it is less dense, but it can't pass through a layer of granite because it is very dense and if forms a bulb(onion) like shape.
Thus, The type of material did the water most likely encounter when it stopped is, ''A layer of granite''.
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The length of a race is 26 miles and 385 yards. what is the length of the marathon in yards
Answer:
46,145 yards
Step-by-step explanation:
convert miles to yards then add
In ΔJKL, j = 10 in., k = 7 in., and l = 6.58 in. Find m∠J.
A. 38º
B. 95º
C. 44º
D. 25º
Answer:
B. 95°
Step-by-step explanation:
Given the three sides of a triangle, the Law of Cosines can be used to find any of the angles.
__
j² = k² +l² -2kl·cos(J) . . . . . law of cosines applied to this triangle
J = arccos((k² +l² -k²)/(2kl)) . . . . . solve for angle J
J = arccos((7² +6.58² -10²)/(2·7·6.58)) = arccos(-7.7036/92.12)
J ≈ 94.797° ≈ 95°
The measure of angle J is about 95°.
_____
Additional comment
Angle J is opposite side j, which is the longest side. That means angle J is the largest angle in the triangle. The largest angle of the triangle can never be less than 60°. Only one answer choice qualifies. (No computation is necessary.)
HELP!!
Find the lateral area of the pyramid to the nearest whole number
85 m2
77 m2
47 m2
51 m2
literally ur the best human if u answer this :)
Answer:
The area of the pyramid is 51 m²
Answer:
The answer is 51m
Step-by-step explanation:
Simplify the following...
[tex]1 \cfrac{1}{5} + 2 \cfrac{1}{7} [/tex]
Simplify the expression. Write your answer as a power.
Answer:
π^8
Step-by-step explanation:
π^30/π^22= π^8
A television game show has 12 doors, of which the contestant must pick 2. Behind 3 of the doors are expensive cars, and behind the other 9 doors are consolation prizes. The contestant gets to keep the items behind the 2 doors she selects. Determine the probability that the contestant wins at least one car.
[tex]the \: answer \: is \: \frac{1}{10} [/tex]
[tex]\blue{———hope it helps———}[/tex]
[tex]\large{ \pink{ \underline{ { \sf{Answer}}}}}[/tex]
[tex]the \: answer \: is \: \frac{1}{10} [/tex]
I need help for this one!!! What u
The above is not a function because -2 is mapped to two elements 2 and -4.
What is a function?A function relates an input to an output. The three main parts of a function are the inputs, outputs and the relationship.
The formal definition of a function is that it relates each element of a set with exactly one element of another set (possibly the same set).
In other words, one element must be mapped to another element.
Each element cannot be mapped to two elements.
Therefore, the above is not a function.
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Write the system of equations and construct the corresponding matrix model for the following exercise.Suppose that one of three different alleles is present in each individual in a population. In each generation the following happens: 8% of individuals carrying allele X mutate to carry allele Y, 6% mutate to allele Z; and the rest remain unchanged; 0.1% of individuals carrying allele Y mutate to carry allele Z and the rest remain unchanged; 90% of individuals carrying allele Z mutate to carry allele X and the rest remain unchanged.
The system of equations and the corresponding matrix model for the following above is given and explained below.
What is a system of equations?A system of Equations refers to a set of equations that one must solve or interact with all at once.
What is the system of equation for the exercise above?Let's call the person who carries alleles X, Y, and Z - Xt, Yt, and Zt, respectively.
Also, lets assume that 5 percent of X alleles mutate from X to Y and 3 percent mutate from X to Z in each generation, thus the percent of X alleles remains constant at:
100 - (5 percent + 3 percent) = 92 percent.
Also, because only 0.1 percent of Y alleles evolve from Y to Z, the percentage of Y alleles remains constant at 99.9%.
We must also consider that 90 percent of Z alleles do not change from Z to X, implying that 10% of Z alleles are indifferent.
Hence, the various equations describing the system will be given as:
Xt+1 = 0.92Xt + 0.92Zt
Yt+1 = 0.05Xt + 0.999Yt
Zt+1 = 0.03Xt + 0.01Yt + 0.1Zt
or
Xt+1 = 0.92Xt + 0.000Yt + 0.9Zt
Yt+1 = 0.05Xt + 0.999Yt + 0.0Zt
Zt+1 = 0.03Xt + 0.01Yt + 0.1Zt.
The Matrix Model is given as follows:
[tex]\begin{bmatrix}X_{t+1} \\Y_{t+1} \\Z_{t+1} \end{bmatrix}[/tex] = [tex]\left[\begin{array}{ccc}0.92&0&0.9\\0.05&0.999&0\\0.03&0.001&0.1\end{array}\right][/tex] = [tex]\begin{bmatrix}X_{t} \\Y_{t} \\Z_{t} \end{bmatrix}[/tex]
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Select the correct answer. what is the probability that a person who is older than 35 years has a hemoglobin level between 9 and 11? a. 0.257 b. 0.284 c. 0.312 d. 0.356 e. 0.548
Based on the number of people who are older than 35 years and the people with a hemoglobin level between 9 and 11, the probability is 0.531.
What is the probability of having the required hemoglobin level?This question does not have the relevant data attached so I will use a similar question.
The probability that a person is older than 35 and has a hemoglobin level of between 9 and 11 can be found as:
= Person who has hemoglobin level of between 9 and 11 and is above 35 years / Total number of people older than 35 years
= (162 - 40 - 76) / 162
= 0.531
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HELP!!
Which of the statements below are true for linear functions? Select all that apply.
1. The general equation is y = mx + b.
2. The general equation is y = ax^2 + bx + c
3. The general equation is y = ab^x
4. The graph contains a vertex
5. The slope of the graph is constant and can be defined as rise over run.
[tex]\rule{60}{1}\:\:\:\rule{60}{1}\:\:\:\rule{60}{1}\:\:\:\rule{60}{1}[/tex]
[tex]\diamond\large\blue\textsf{\textbf{Given question:-}}}[/tex]
Which of the statements below are true for linear functions?
Select all that apply.
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
The general equation for linear functions is [tex]\bold{y=mx+b}[/tex].
The equation [tex]\bold{y=ax^2+bx+c}[/tex] is the general equation for quadratic functions.
The equation [tex]\bold{y=ab^x}[/tex] is the general equation for exponential functions.
Linear functions don't have a vertex, they have slope (m) and y-intercept (b).
One way we can define the slope of a linear function is
[tex]\bold{Slope=\dfrac{Rise}{Run}}[/tex]
So we conclude that the right options are
[tex]\square\!\!\!\!\checkmark[/tex] The general equation is y=mx+b.
[tex]\square\!\!\!\!\checkmark[/tex] The slope of the graph is constant and can be defined as rise over run.
Good luck with your studies.[tex]\rule{300}{1}[/tex]
Grace bought a new sweater on sale for 20% off the original price and an additional 15% off the discounted price. If the sweater originally cost $60, what was the final cost that Grace paid for the discounted sweater?
Answer:
$40.80.
Step-by-step explanation:
60 - 0.20*60
= 60 - 12
= $48
48 - 48*0.15
= 48 - 7.20
= $40.80.
Find the perimeter and area of the following
16. PM = 26x + 8x^2y
A = 52x^3y
17. Area = 33a^5b
5) For the geometric sequence with the following terms, a8= 32 and a11= 256, find the ratio and then find a13
Using geometric sequence concepts, it is found that:
The common ratio is of 2.The 13th term is of 1024.What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
As a function of the mth term, the nth term is given by:
[tex]a_n = a_mq^{n - m}[/tex]
Hence, considering the 8th and the 11th term, the common ratio is found as follows:
[tex]a_{11} = a_8q^3[/tex]
[tex]32q^3 = 256[/tex]
[tex]q^3 = 8[/tex]
q = 2.
Then, considering the 11th term and the common ratio, the 13th term is given as follows:
[tex]a_{13} = a_{11}q^2 = 256 \times 2^2 = 1024[/tex]
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radius of a cylinder is 4 cm and height given is 6 cm. Find the volume in terms of pi
height= 6 cm
radius= 4 cm
to find:the volume of the given cylinder.
solution:[tex]v = \pi {r}^{2} h[/tex]
[tex]in \: terms \: of\pi = {r}^{2} h[/tex]
[tex]v = {4}^{2} \times 6[/tex]
[tex]v = 96\pi \: {cm}^{3} [/tex]
pls help and thank you
Answer:
cost price of the bat: $3130.43
Step-by-step explanation:
3600/1.15 = 3130.43
Hope this helps
C. A store window has a perimeter of 18 feet. The width
is 6 feet. Find the length and the area.
211 +18).
Mrs. Gurung is a bank Manager in a development bank. Her monthly is Rs 50,000.
ther annual income is equivalent to her 15 month's salary, find her income tax
in a year.
The income tax of Mrs Gerung based on the information given in a year will be Rs 142000.
How to calculate the tax?From the information given, the monthly income is s Rs 50,000 and the annual income is equivalent to her 15 month's salary,
The income tax will be:
= 50000 + (450000 × 1%) + (100000 × 10%) + (200000 × 20%) + (125000 × 30%)
= 50000 + 4500 + 10000 + 40000 + 37500
= 142000
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Find the Volume of a triangular pyramid! ~
Answer:
20
Step-by-step explanation:
using the given formula:
V = 1/3(Base Area)(height)
V = 1/3 (5)(12)
V = 1/3 (60)
V = 20
Answer:
20
Step-by-step explanation:
V = 1/3Bh
V = 1/3 x 5 x 12
V = 4 x 5
V = 20 cubic feet
A listing for a home for sale is shown as follows: "4/3/2 house for sale. Price
$140,000." What does "4/3/2" mean?
How would logx (49) = x look like in exponential form
I'm assuming the given log equation is [tex]\log_{\text{x}}(49) = \text{x}[/tex]
If so, then the exponential form is [tex]\text{x}^{\text{x}} = 49[/tex]
This is because the general form [tex]\log_{\text{b}}(\text{x}) = \text{y}[/tex] transforms into [tex]\text{y} = \text{b}^{\text{x}}[/tex]
For both equations, the 'b' is the base.
RIGHT ANSWER GETS BRAINLIST WORTH 30+ POINTS
Two number cubes are rolled.
What is the probability that the first lands on 6 and the second lands on an even number?
Select your answer, as a fraction in simplified form.
Question 5 options:
1/6
2/6
1/12
1/3
Answer:
Hi. Here is your answer:
1/6
Step-by-step explanation:
this is because 1/6 is equal to 5/30 of your answer.
here is proof.
which school do you go to?
Hope this helps
Brainliest please
Have a great day
Please fully rate!
The probability that the first lands on [tex]6[/tex] and the second lands on an odd number is [tex]\frac{1}{12}[/tex]
Calculation of the probabilities:Since The probability of rolling a [tex]6[/tex] should be [tex]\frac{1}{6}[/tex] because there are [tex]6[/tex] total numbers.
Now The probability of rolling an odd number is [tex]\frac{1}{2}[/tex], since there are an equal number of odd and even numbers on a die.
Now the final probability should be
[tex]=\frac{1}{6}*\frac{1}{2}[/tex]
[tex]=\frac{1}{12}[/tex]
Therefore, The probability that the first lands on [tex]6[/tex] and the second lands on an odd number is [tex]\frac{1}{12}[/tex]
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use your formula to convert 20 minutes to seconds please help me
Step-by-step explanation:
Converting 20 minutes into second....
20 × 1 minute
20 × 60 seconds
1200 seconds...
Pls help
In the diagram below, △KLM≅△NOP.
What is the length of line segment KL¯¯¯¯¯?
A - 12 units
B - 14 units
C - 17 units
D - 19 units
The value of x will be equal to 14 units.
What is congruency?The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one are congruent to the included angle and corresponding two sides of the other triangle.
Since the two triangles are congruent so the value of x will be calculated as:-
2x - 9 = x + 5
2x - x = 9 + 5
x = 14
Therefore the value of x will be equal to 14 units.
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Select the correct answer from the drop-down menu. a survey conducted in a certain town found that 1 out of every 5 individuals owned a bike. a statistician calculated the margin of error to be 1.5%. the maximum percentage of individuals who own a bike is .
The maximum percentage of individuals who own a bike is 21.5%.
What is the maximum percentage?Margin of error is the percentage points a researcher's value would differ from the real population's value. The maximum percentage is the sum of the margin of error and the true value.
The maximum percentage = margin of error + true value
(1/5) x 100 + 1.5% = 21.5%
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Answer:
See image
Step-by-step explanation:
Plato
A cylindrical pipe is 28m long.its internal radius is 3.5 and external radius is 5 cm calculate:
The volume in cm,of the metal used in making the pipe
The volume of water in litres that the pipe can hold when full,correct to one decimal place
The volume in cm 112098 cm³.
The volume of water in liters 112 liter.
What is volume of cylinder?The volume of a cylinder is equal to the product of the area of the circular base and the height of the cylinder.
Given: height= 28m= 2800cm, internal radius= 3.5 cm, external radius = 5 cm.
Volume of cylinder
= πr²h
= 3.14(5²-3.5²)2800
=3.14*12.75*2800
=112098 cm³
Volume of water in liter is 112.098 or 112 liter.
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How mony boxes does Sharice need?
sharice needs ? boxes
she will need 18 boxes total :)
Which is the length of the hypotenuse of the triangle? Triangle A B C. Side A C is 12 feet and side C B is 35 feet. StartRoot 94 EndRoot ft
Answer:37
Step-by-step explanation:
just took the test
somebody please help me with this
Answer:
1/21
Step-by-step explanation:
there are 7 songs total
3 rock sounds, 2 reggae songs and 2 country songs
probability of choosing both country songs without returning the first song = probability of choosing country song first time × probability of choosing country song second time
probability of choosing a country song first time = # of country songs / # of total songs
# of country songs = 2
total # of songs= 7
so probability of picking a country song = 2/7
if she doesn't return the disc there are 7 - 1 = 6 more songs left and 2 - 1 = 1 is country
probability of choosing country song second time
again probability = # of country songs / total # of songs
here there are only 6 songs total and 1 of them are country
so probability = 1/6
we have probability of choosing both country songs without returning the first song = probability of choosing country song first time × probability of choosing country song second time
first probability = 2/7
second probability = 1/6
total probability = 2/7 × 1/6 = 1/21
A store buys 11 sweaters for $55 and sells them for $286. How much profit does the store make per sweater?
Answer:
The store makes $21 per sweater.
This is the same as the constant of proportionality between the profit made and the number of sweaters sold.
Step-by-step explanation:
$286−$55
Total Profit=$231
Profit Per Sweater=11/$231
Profit Per Sweater=$21
If store buys 11 sweaters for $55 and sells them for $286 then the store makes a profit of $21 per sweater.
To calculate the profit per sweater, you need to subtract the cost per sweater from the selling price per sweater.
Cost per sweater = Total cost / Number of sweaters
= $55 / 11
= $5
Selling price per sweater = Total selling price / Number of sweaters
= $286 / 11
= $26
Profit per sweater = Selling price per sweater - Cost per sweater
= $26 - $5
= $21
So, the store makes a profit of $21 per sweater.
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