Mary has $120 to spend on a tour of a
castle with her friends. The cost is $15 for a
tour guide and then $12 per person. Which
equation best represents how many friends
she can invite?
A. 15x + 12 > 120
B. 15x + 12 < 120
C. 12x + 15 > 120
D. 12x + 15 < 120
Answer:
12x+15>120, choice C
Step-by-step explanation:
$12/person
$15/guide
X=12
It cannot be B or D because she only has 120 to spend. It is not possible to spend more than that. It cannot B either because X=12, the number f friends she can invite which is our unknown variable. The answer has to be C. It makes the most sense.
There are 7 days in a week.
Let x represent the number of weeks and y represent the corresponding number of days.
Complete the table using the equation y=7x.
x y
5
6
7 49
8
Answer:
Step-by-step explanation:
The equation is y=7x
x y Calculation
5 35 y=7x, y=7*5, y=35
6 42 y=7x, y=7*6, y=42
7 49 y=7x, y=7*7, y=49
8 56 y=7x, y=7*8, y=56
If all of the angles in the pentagon below are congruent (equal), then what is the m
A) 77°
B) 97°
C) 108°
D) 120°
Answer:
C
Step-by-step explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
a pentagon has 5 sides , that is n = 5
sum = 180° × (5 - 2) = 180° × 3 = 540°
since the 5 angles are congruent then divide the sum by 5 , that is
∠ F = 540° ÷ 5 = 108°
Step-by-step explanation:
Formula of calculating total angles with n side (Polygon) : (n-2) . 180°
total pentagon angles :
= (5 - 2) . 180
= 3 . 180
= 540°
all of the angle is congruent, then :
m<F = 540/5
m<F = 108° (C)
Subject : Mathematics
Level : JHS
Chapter : Geometry
(1,-1) (5,-7 find the slope
Answer:
m=-2
Step-by-step explanation:
m=-8/5-(1)
m=-8/4
divided -8 by 4
m=-2
Answer:
m=-2
Step-by-step explanation:
Write the expression in radical form. (x + 1) 2/3
In a multiple-choice test, there are 10 questions. Each question has 4 choices, one of which is correct. Tom, who knows nothing about the subject, guesses each answer at random. Let X be the number of questions that Tom has actually guessed correctly. Find the mean and standard deviation of the X-distribution.
Answer:
B
Step-by-step explanation:
These spam comments are getting out of hand. They’re everywhere and it’s really annoying having to post another question because of those spam comments. Like who’s behind all of this? And for what reason are they doing this?
Answer:
I agree it's annoying!!!
Step-by-step explanation:
I think the people who just spam questions are just lazy and they have nothing else to do with their lives. So they try to make themselves feel better by annoying other people. I hope you are having a good day other than people spamming questions!
Pls help me and show the answer clearly and pls make sure it is right since I checked a few others and it said it was wrong and also pls do it quick since my homework is do in tomorrow! Thank you! :)
Answer:
x² + 6
Step-by-step explanation:
think of a number: x
multiply it by itself: x × x = x²
add 6 to the result: x² + 6
Research shows that infant mortality rate (number of infants less than a year old who die per every 1,000 live births) is a strong predictor of average life expectancy. The regression equation gives a y-intercept of 70 and a slope of - 0.05. Given the information above, write down the equations that correctly represents the relationship between infant mortality rate (IMR) and average life expectancy (ALE).
The equation that represents the relationship between infant mortality rate (IMR) and average life expectancy (ALE) is ALE = 70 - 0.05 \(\times\) IMR.
In this equation, the y-intercept of 70 represents the average life expectancy when the infant mortality rate is zero.
This implies that even without any infant deaths, the expected average life expectancy would be 70 years.
The slope of -0.05 indicates that for every one-unit increase in the infant mortality rate, the average life expectancy decreases by 0.05 years.
This suggests that higher infant mortality rates are associated with lower average life expectancies.
The negative slope is indicative of an inverse relationship between IMR and ALE.
As the infant mortality rate increases, it has a detrimental effect on average life expectancy.
This relationship is supported by the research that shows higher infant mortality rates are associated with poorer health outcomes and lower life expectancies.
It's important to note that this equation assumes a linear relationship between IMR and ALE.
In reality, the relationship may be more complex, and other factors not included in the equation could also influence average life expectancy. Nonetheless, the given equation provides a simple representation of the relationship between IMR and ALE based on the provided information.
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Need help please thanks
The reason and similarity statement are:
D. Similar due to SSS and scale factor of 0.29. triangle QRS ~ triangle VUT.
What are Similar Triangles?If the corresponding sides of two triangles have a ratio that is equal, the ratio is said to be the scale factor, and therefore, the two triangles are similar.
If all the three corresponding sides have equal ratio, then the triangles are similar by the SSS similarity theorem.
From the figures given, we have:
28/98 = 0.29
16/56 = 0.29
20/70 = 0.29.
This shows that they have a scale factor of 0.29.
Therefore the two triangles are similar. We can then state the similarity statement as:
triangle QRS is similar to triangle VUT.
The answer is: D.
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Find the radius of gyration of a plate covering the region bounded by x= 3, x= 6, y=0 and y=3 with respect to the y-axis Find the moment of inertia of a plate covering the region bounded by x = -7, x=7, y=0, and y =0 with respect to the y-axis .
The radius of gyration for the first region is 3, and the moment of inertia for the second region is 0.
To find the radius of gyration and the moment of inertia for the given regions.
First, let's find the radius of gyration of a plate covering the region bounded by x = 3, x = 6, y = 0, and y = 3 with respect to the y-axis.
So, the radius of gyration for the first region is 3, and the moment of inertia for the second region is 0.
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8x+6y=18
Put the following equation of a line into slope-intercept form, simplifying all fractions.
Answer:
\(y = - \frac{4}{3} x + 3\)
Step-by-step explanation:
slope-intercept form
y= mx +c, where m is the slope and c is the y-intercept.
8x +6y= 18
Move everything that is not a y term to the right side of the equation:
6y= -8x +18
Divide both sides by 6 so that the coefficient of y is 1:
\(y = - \frac{8}{6} x + \frac{18}{6} \)
\(y = - \frac{4}{3} x + 3\)
Find the equation of clean pulsations for a
left-mounted beam (for x=0) and simple pressed on the right (for
x=l) Take into account that: (sinx)^2+(cosx)^2=1
(chx)^2-(shx)^2=1
We can conclude that there are no nontrivial clean pulsations for the given left-mounted beam with a simple support on the right.
To find the equation of clean pulsations for a left-mounted beam with a simple support on the right, we can use the differential equation that describes the deflection of the beam. Assuming the beam is subject to a distributed load and has certain boundary conditions, the equation governing the deflection can be written as:
d^2y/dx^2 + (chx)^2 * y = 0
Where:
y(x) is the deflection of the beam at position x,
d^2y/dx^2 is the second derivative of y with respect to x,
ch(x) is the hyperbolic cosine function.
To solve this differential equation, we can assume a solution in the form of y(x) = A * cosh(kx) + B * sinh(kx), where A and B are constants, and k is a constant to be determined.
Substituting this assumed solution into the differential equation, we get:
k^2 * (A * cosh(kx) + B * sinh(kx)) + (chx)^2 * (A * cosh(kx) + B * sinh(kx)) = 0
Simplifying the equation and applying the given identity (chx)^2 - (shx)^2 = 1, we have:
(A + A * chx^2) * cosh(kx) + (B + B * chx^2) * sinh(kx) = 0
For this equation to hold for all values of x, the coefficients of cosh(kx) and sinh(kx) must be zero. Therefore, we get the following equations:
A + A * chx^2 = 0
B + B * chx^2 = 0
Simplifying these equations, we have:
A * (1 + chx^2) = 0
B * (1 + chx^2) = 0
Since we are looking for nontrivial solutions (A and B not equal to zero), the expressions in parentheses must be zero:
1 + chx^2 = 0
Using the identity (sinx)^2 + (cosx)^2 = 1, we can rewrite this equation as:
1 + (1 - (sinx)^2) = 0
Simplifying further, we get:
2 - (sinx)^2 = 0
Solving for (sinx)^2, we find:
(sin x)^2 = 2
Since the square of the sine function cannot be negative, there are no real solutions to this equation. Therefore, we can conclude that there are no nontrivial clean pulsations for the given left-mounted beam with a simple support on the right.
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how many liters of 10% salt solution must be added to 5 liters of 25% salt solution to obtain a 15% salt solution?
Answer: 10 liters
Step-by-step explanation:
Let the number of liters of 10% solution be \(x\).
\(0.10x+5(0.25)=0.15(x+5)\\\\0.10x+1.25=0.15x+0.75\\\\1.25=0.05x+0.75\\\\0.05x=0.50\\\\x=10\)
do we have to use u-substitution for non-basics, or is there a more direct way to find chain rule integrals?
While there may be other integration techniques that can be used to evaluate some chain rule integrals directly, u-substitution is a powerful and versatile tool that is often used to simplify and evaluate these types of integrals.
The chain rule is a fundamental concept in calculus, and it applies to differentiation as well as integration. The chain rule integration technique involves recognizing the function inside the integral as the composition of two functions, and then using substitution to simplify the integral.
In some cases, it may be possible to use other integration techniques to evaluate chain rule integrals directly, without using substitution. However, in general, the use of substitution (or a related technique, such as integration by parts) is often necessary to evaluate chain rule integrals.
That being said, there are some special cases where the chain rule integrals can be evaluated more directly, such as when the integrand is a polynomial or a rational function, or when it has a simple algebraic form.
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If a runner was traveling with a velocity of 4 m/s north and had a displacement of 2500 m, how long was he running?
Answer:
625
Step-by-step explanation:
t= d/s
2500/4
middle school math!
really easy points :D
Answer:
check b, c, and d
Step-by-step explanation:
not all functions are linear so don't click A.
Answer:
I'm not sure if it's c but b and d are true
Step-by-step explanation:
Sorry this is late.... need the points
How many subjects were examined based on the following: t(29) = 2.001, p < 0.05?
Based on the provided information, the number of subjects examined is not explicitly mentioned. However, the given t-value (t(29) = 2.001) suggests that the study involved a sample size of 30 participants, as denoted by the degrees of freedom (df) in parentheses.
The notation t(29) = 2.001 represents a t-test, a statistical test used to determine if there is a significant difference between the means of two groups. In this case, the subscript "29" in t(29) denotes the degrees of freedom (df), which is calculated by subtracting 1 from the sample size. Therefore, df = 30 - 1 = 29.
Since the degrees of freedom are 29, it indicates that the sample size used in the study was 30 participants. The t-value of 2.001 represents the magnitude of the t-statistic, which measures the difference between the means of the two groups being compared.
The critical value for significance is not provided, but the statement "p < 0.05" suggests that the obtained p-value is less than 0.05, indicating statistical significance. However, the exact p-value is not given, so the level of significance cannot be precisely determined.
Overall, the information provided implies that the study involved a sample of 30 subjects, and the t-value and p-value suggest a significant result.
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Taryn bought 12.6 gallons of gasoline. There are approximately 3.8 liters in 1 gallon. Which measurement is closest to the number of liters of gasoline Taryn bought?
Answer:
Amount in liters is 47.9 litersStep-by-step explanation:
The Question is incomplete, it does not provide the measurements or options to choose from, but we can estimate the answer
Step one:
Given data
Taryn Bought 12.6gallons of gasoline
1 gallon of gasoline is 3.8 liters
We want to convert from gallons to liters
Step two:
----if 1 gallon has 3.8 liters
then 12.6 gallons will have x liters
cross multiply we have
x= 12.6*3.8
x=47.88 liters
Hence the estimated amount in liters is 47.9 liters
Find the equation that intersects the x-axis at point (3, 0) and
intersects the y-axis at
point (0, 5). Then sketch the diagram.
The equation of the line that intersects the x-axis at point (3, 0) and intersects the y-axis at point (0, 5) is y = (-5/3)x + 5.
To find the equation of a line that intersects the x-axis at point (3, 0) and intersects the y-axis at point (0, 5), we can use the slope-intercept form of a linear equation, which is y = mx + b. Given the point (3, 0) on the x-axis, we know that when x = 3, y = 0. This gives us one point on the line, and we can use it to calculate the slope (m).
Using the slope formula: m = (y2 - y1) / (x2 - x1)
Substituting the values (0 - 5) / (3 - 0) = -5 / 3
So, the slope (m) is -5/3. Now, we can substitute the slope and one of the given points (0, 5) into the slope-intercept form (y = mx + b) to find the y-intercept (b).
Using the point (0, 5):
5 = (-5/3) * 0 + b
5 = b
The y-intercept (b) is 5. Therefore, the equation of the line that intersects the x-axis at point (3, 0) and intersects the y-axis at point (0, 5) is:
y = (-5/3)x + 5
To sketch the diagram, plot the points (3, 0) and (0, 5) on the x-y plane and draw a straight line passing through these two points. This line represents the graph of the equation y = (-5/3)x + 5.
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Input output please
Step-by-step explanation:
89815083295hope it helps.stay safe healthy and happy.A forest produces approximately 970 kg of oxygen for every metric ton of wood produced. If the average person breathes about 165 kg of oxygen per year, how many people does this forest support
This forest can support approximately 5 people based on its oxygen production.
To find out how many people the forest can support based on the amount of oxygen produced, we will use the given information:
1. The forest produces 970 kg of oxygen per metric ton of wood.
2. The average person breathes 165 kg of oxygen per year.
We'll first calculate the total amount of oxygen the forest produces, and then divide that by the oxygen consumption of one person to find out how many people the forest can support.
Your answer: A forest produces approximately 970 kg of oxygen for every metric ton of wood produced. If the average person breathes about 165 kg of oxygen per year, the number of people this forest can support can be calculated using the following steps:
Step 1: Determine the total amount of oxygen produced by the forest.
Let's assume the forest produces 1 metric ton of wood.
Total oxygen produced = 970 kg of oxygen per metric ton of wood x 1 metric ton of wood = 970 kg of oxygen.
Step 2: Calculate the number of people the forest can support.
\(Number of people = \frac{Total oxygen produced}{Oxygen consumption per person}\)
\(Number of people = \frac{ 970 kg of oxygen}{165 kg of oxygen per person}\)
Number of people = 5.88
Since we cannot have a fraction of a person, we round down to the nearest whole number. Therefore, this forest can support approximately 5 people based on its oxygen production.
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50 POINTS HELP WILL MARK BRAINLIEST
find the value of x.
(picture attached)
wilbur has sold 100, 42,87, and 66 appliances in the last four months, respectively. How many appliances will he need to sell this month to maintain an average of at least 72 sales per month?
Answer:
59
Step-by-step explanation:
1) so you start with the mean being 72x5=360
2)100+42+87+66=295
3) 360-295=65
(you get the 5 from the amount of numbers there are) P.S sorry if I'm wrong or this doesn't help
Help please and thank you
Answer:
A --> 57
Step-by-step explanation:
you can find the linear pair on YH by getting 180 and subtracting it by 106 giving 74. Add 74 and 49 to get 123. The rule with triangles is that all angles inside one equal 180 so get 180 and subtract it by 123 which gets you 57.
Can someone please help me on this ty!!
Answer:
a. 1
Step-by-step explanation:
Answer:
The answer is A it only has 1 line of symmetry.
Step-by-step explanation:
A line of symmetry is a line that cuts a shape exactly in half.
This means that if you were to fold the shape along the line, both halves would match exactly. Equally, if you were to place a mirror along the line, the shape would remain unchanged.
However, for this shape you can only fold the shape once (vertically) to have an exact match; making the answer the first option.
The four control points in 2D plane are Po(0,0) ?, (1, 1), P₂ (2,-1) and P3 (3,0). The tangent veehrs at the end points are Po'(1,1) & P3'(1,1). Determine the intermiclate points on the Humite curve at t = 1/3 & 2/3
The Hermite curve with four control points P0(0,0), P1(1,1), P2(2,-1), and P3(3,0) has tangent vectors P0'(1,1) and P3'(1,1) at the endpoints. To determine the intermediate points on the curve at t = 1/3 and t = 2/3, we can use the Hermite interpolation formula.
The Hermite interpolation formula allows us to construct a curve based on given control points and tangent vectors. In this case, we have four control points P0, P1, P2, and P3, and tangent vectors P0' and P3'.
To find the intermediate point at t = 1/3, we use the Hermite interpolation formula:
P(t) = \((2t^3 - 3t^2 + 1)P0 + (-2t^3 + 3t^2)P3 + (t^3 - 2t^2 + t)P0' + (t^3 - t^2)P3'\)
Substituting the given values:
\(P(1/3) = (2(1/3)^3 - 3(1/3)^2 + 1)(0,0) + (-2(1/3)^3 + 3(1/3)^2)(3,0) + ((1/3)^3 - 2(1/3)^2 + (1/3))(1,1) + ((1/3)^3 - (1/3)^2)(1,1)\)
Simplifying the equation, we can find the coordinates of the intermediate point at t = 1/3.
Similarly, for t = 2/3, we use the same formula:
\(P(2/3) = (2(2/3)^3 - 3(2/3)^2 + 1)(0,0) + (-2(2/3)^3 + 3(2/3)^2)(3,0) + ((2/3)^3 - 2(2/3)^2 + (2/3))(1,1) + ((2/3)^3 - (2/3)^2)(1,1)\)
Calculating the equation yields the coordinates of the intermediate point at t = 2/3.
In this way, we can use the Hermite interpolation formula to determine the intermediate points on the Hermite curve at t = 1/3 and t = 2/3 based on the given control points and tangent vectors.
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you note that your prescription for new eyeglasses is −4.95 d. what will their focal length (in cm) be?
The focal length of the lenses needed for vision correction is approximately -20.20 cm, which means they are concave lenses (used for myopia).
As per the question given,
The prescription for a new pair of glasses is given in dioptres, a unit of measure used to describe the refractive power of a pair of glasses. In this case, a prescription of -4.95 D means that the lenses required for vision correction have a refractive power of -4.95 dioptres.
To determine the focal length of your lenses in centimetres, you can use the following formula:
focal length (cm) = 100 / refractive power (diopters)
Using Recipes -4.95D as an example, the focal length can be calculated as follows:
focal length (cm) = 100 / -4.95 D = -20.20 cm
It is important to note that a negative sign on your prescription indicates that you are nearsighted.
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(13/7) ^2 please help thank you! Enjoy your day :)
Answer:
3.45
Step-by-step explanation:
Answer:
169/49 and I hope you have a great day as well
If the scale factor of figure A to figure B is 3:8 find the value of x
If the scale factor of figure A to figure B is 3:8, the value of x is 9.
We are given Figure A and Figure B, along with their respective scale factors. To solve the problem, we must utilize the proportion rule. The ratio of the two figures is 3:8, so we can write the equation for proportion as follows -
3/8 = x/24
Applying the cross-multiplication rule, we get,
3 * 24 = 8 * x
Further solving for the value of x, we get,
x = (3 * 24) / 8
x = 9
Hence, the value of x is 9.
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The complete question is -
If the scale factor of figure A to figure B is 3:8 find the value of x.