Answer:
A
Step-by-step explanation:
Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and point C is 25 yards. Pete walks directly from point A to point C, without passing through point B. What is the direct distance from A to C?
How far would Pete walk if he went from A to B to C? yards
The direct distance from A to C is more than yards.
The inequality w < represents the distance, w, that Pete might save by taking the direct path.
The total distance if Pete walks from A to B to C is 40 yards, the direct distance from A to C is more than 10 yards, and an inequality w < 30
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We have:
Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and point C is 25 yards.
Total distance if Pete walks from A to B to C:
= 15 + 25 = 40 yards
As we know in the triangle the sum of the two sides is greater than the third side.
25 + 15 > AC
40 > AC
or
AC < 40
The direct distance from A to C is more than 10(25-15) yards.
The inequality w < 30 represents the distance, w, that Pete might save by taking the direct path.
Thus, the total distance if Pete walks from A to B to C is 40 yards, the direct distance from A to C is more than 10 yards, and an inequality w < 30
Learn more about the inequality here:
brainly.com/question/19491153
#SPJ1
Answer:
40, 10, 30
see picture
Step-by-step explanation:
food safety guidlines recommend that a beef rib roast should cook for 23 minutes per pound based on 325f oven setting. how many hours should it take to cook a 5.17 pound roast?
It should take approximately 1.98 hours, or around 1 hour and 59 minutes, to cook a 5.17 pound beef rib roast based on the recommended guideline of 23 minutes per pound at a 325°F oven setting.
To calculate the cooking time for a 5.17 pound roast, we can use the recommended guideline of 23 minutes per pound. First, we need to convert the weight from pounds to minutes, and then convert minutes to hours.
Cooking time in minutes = 5.17 pounds * 23 minutes/pound
Cooking time in minutes = 118.91 minutes
To convert minutes to hours, we divide the total minutes by 60:
Cooking time in hours = 118.91 minutes / 60
Cooking time in hours ≈ 1.98 hours
Therefore, it should take approximately 1.98 hours to cook a 5.17 pound beef rib roast based on the recommended guideline of 23 minutes per pound at a 325°F oven setting.
To know more about recommended guideline refer here:
https://brainly.com/question/28617982#
#SPJ11
A study is designed to test the effects of location (island vs. mainland) and squirrels (present or absent) on the cone sizes of lodgepole pines. Which of the following interaction plots is consistent with this combination of main effects and interactions? A main effect of location is present. A main effect of squirrels is present. An interaction between squirrels and location is present.
The interaction plot consistent with the combination of main effects and interactions described is Plot D, which shows an interaction between squirrels and location.
An interaction occurs when the effect of one independent variable (in this case, squirrels) on the dependent variable (cone sizes) depends on the level of another independent variable (location).
Based on the given information, we have the following main effects and interactions:
1. Main effect of location: This means that the location (island vs. mainland) has an independent effect on cone sizes. It suggests that there is a difference in cone sizes between the two locations.
2. Main effect of squirrels: This means that the presence or absence of squirrels has an independent effect on cone sizes. It suggests that the presence of squirrels may influence cone sizes.
3. Interaction between squirrels and location: This means that the effect of squirrels on cone sizes depends on the location. In other words, the presence or absence of squirrels may have a different impact on cone sizes depending on whether the trees are on an island or the mainland.
Among the given interaction plots, Plot D is consistent with these main effects and interactions. It shows that the effect of squirrels on cone sizes differs between the island and mainland locations, indicating an interaction between squirrels and location.
Therefore, Plot D is the interaction plot that aligns with the combination of main effects and interactions described in the question.
To learn more about variable, click here: brainly.com/question/28248724
#SPJ11
Graph the system y=2x-4 y=2x^2 then write its solution
Okay, here we have this:
Considering the provided system of equations, we are going to graph the system, so we obtain the following:
Graphing the system we have:
We can see that the two functions do not intersect at any time, therefore the system of equations has no solution in the set of real numbers.
If 5 is lessened by 1/2 of a number the result is the same as subtracting 5/6 from 11.
Write an equation to represent the situation, use X as the variable.
The equation to represent the given situation is 1/2X-5=11-5/6 using X as the variable.
What is an equation and how it can be formed?
Mathematically, an equation can be defined as a statement that supports the equality of two expressions, which are connected by the equals sign “=”.
When we are given a mathematical problem that is or may be described using algebraic expressions, we form and solve equations. The information from the situation and the algebraic expressions can be used to create an equation. The equation can then be solved to obtain the answer.
Given the situation: If 5 is lessened by 1/2 of a number the result is the same as subtracting 5/6 from 11.
To write an equation for the given situation.
Let the number be X.
If 5 is lessened by 1/2 of the number, we get the expression 1/2X-5
Subtracting 5/6 from 11 gives the expression 11-5/6
Now, it is given that both the situations are same so equating both the expressions we get,
1/2X-5=11-5/6
⇒1/2X-5=61/6
Hence, the equation to represent the situation is 1/2X-5=11-5/6.
To learn more about the concept of algebraic equations, visit:
https://brainly.com/question/953809
#SPJ9
Use <,> or = to compare the ratios. Show your work.
(b) 9/6 and 36/24
Answer:
They're both equal.
Step-by-step explanation:
If you simplify 36/24, its 3/2. (36 divided by 24 = 3/2.)
9/6 simplified is 3/2. (9 divided by 6 = 3/2.)
3/2 = 3/2.
Answer: It's really easy you can make up any numbers (":
Step-by-step explanation:
7. A house painting company charges $350 plus $10 per hour. Another painting company charges $300 plus $15
per hour.
a) How long is a job for which both companies will charge the same amount? Write an equation first, then solve.
b) What will that cost be?
6 hours long is a job for which both companies will charge the same amount and the cost will be $410.
a) Let 'x' stand for the number of hours required to complete the task.
350 + 10x = 300 + 15x
350-300=15x-10x
50=5x
x=6
Thus both the companies will charge the same for a task that takes 6hours.
b) The price will be 350+10(6) =
=350+60
= $410
How to simplify algebraic expression?
Finding a simplified version of an expression is the act of simplifying it. In order to factor or simplify the phrase, we also need to know how to combine like terms and factor a number in addition to the order of operations.
You gather the variables with the same degree that are like terms, or together. The constant terms should be separated to provide simplification.
To learn more about algebraic expression visit the link:
https://brainly.com/question/25829061
#SPJ9
The function f(x) goes through the point (4,7). what point will this translate to in the function f(x)=(x-6)+3?
The point (4,7) in the original function translates to the point (4,1) in the translated function f(x) = (x-6) + 3.
To find the point that the function f(x)=(x-6)+3 translates to, we need to substitute the x-coordinate of the given point (4,7) into the translated function and evaluate the corresponding y-coordinate.
Let's substitute x = 4 into the translated function:
f(x) = (x - 6) + 3
f(4) = (4 - 6) + 3
f(4) = -2 + 3
f(4) = 1
The translated point is (4, 1). This means that the original point (4,7) translates horizontally by shifting 6 units to the right and vertically by shifting 3 units upwards. The x-coordinate remains the same, while the y-coordinate changes.
For such more questions on function
https://brainly.com/question/25638609
#SPJ8
Sammy wrote the following proof. What did he do wrong?
While solving the proof, Sammy made a mistake as option b), he assumed secθ = 1/sinθ but secθ = 1/cosθ
Here we see that in the first line, Sammy writes
cos²θ . tan²θ = cos²θ(sec²θ -1)
This is definitely correct as 1 + tan²θ = sec²θ
Now, in the next line, he expanded the expression by solving the brackets to get
cos²θ . tan²θ = cos²θ . sec²θ - cos²θ
Now, he changes the sec²θ expression. We know that,
secθ = 1/cosθ
Hence, sec²θ = 1/cos²θ
But, Sammy wrote, 1/sin²θ, hence he was wrong here.
Therefore, the correct proof will be
cos²θ . tan²θ = cos²θ/cos²θ - cos²θ
or, cos²θ . tan²θ = 1 - cos²θ
= sin²θ
Hence Sammy assumed secθ = 1/sinθ but secθ = 1/cosθ and made a mistake
To learn more about Trigonometry visit
https://brainly.com/question/10283811
#SPJ4
aArnold compares the means of three groups and calculates a value of -2.01 for the F-ratio. This implies
Arnold has made an error in his calculations of the F ratio. thus option D is correct.
According to the statement
we have given that the a value of -2.01 for the F-ratio. And we have to find that the this value is correct or not and what this value implies.
So, For this purpose, we know that the
The F-ratio is the ratio of the between group variance to the within group variance.
we have given value of -2.01 and
we know that f ratio implies the p value and
this value is always positive.
He has made an error in his calculations because he got negative value which is not possible.
So, Arnold has made an error in his calculations of the F ratio. thus option D is correct.
Learn more about F-Ratio here
https://brainly.com/question/2784798
Disclaimer: This question was incomplete. Please find the full content below.
Question:
Arnold compares the means of three groups and calculates a value of -2.01 for the F-ratio. This implies ______.
A. the mean of the third group is the highest of the three groups
B. he has made an error in his calculations
C. the differences between the means are statistically significant
D. the mean of the first group is the highest of the three groups
#SPJ4
Using the CER answering technique, address the following prompt: "Should nuclear power production be continued in the United States?"*
Based on scientific evidence, cost-benefit analysis, and risk assessment, it is justifiable to continue nuclear power production in the United States, provided that adequate safety measures and regulations are in place.
Claim, Nuclear power production should be continued in the United States.
Evidence, There are several reasons to support the continued use of nuclear power production in the United States. Firstly, nuclear power plants provide a significant source of low-carbon energy that can help to reduce greenhouse gas emissions and mitigate climate change. Secondly, nuclear power is a reliable and stable source of energy that can provide baseload power to the electrical grid, which is essential for meeting the energy demands of a modern society. Finally, nuclear power has a proven track record of safety and has become increasingly safe over time, with advanced safety systems and protocols in place to prevent accidents and minimize their impact.
Reasoning, Despite the risks associated with nuclear power production, the benefits outweigh the risks. While there is always a risk of accidents and radioactive contamination, the probability of such events is low, and the consequences can be mitigated through effective safety measures and emergency response plans.
To learn more about nuclear power here:
https://brainly.com/question/15883491
#SPJ4
Please help I would really appreciate it
Answer:
alternate exterior
What is the volume of the composite figure?
Answer:
1428 in³
Step-by-step explanation:
To find the volume of this figure, we will need to use two formulas. The volume of a Rectangular Prism \((A=l*w*h)\) and volume of a triangular prism.
\((A=\frac{1}{2} (b*h )\)
If we look at the Rectangular Prism, we can find that l = 17, w = 8, and h = 5. Multiply these to find the volume:
17 × 8 × 5 = 680 in³.
Solving for the triangular prism gives us:
A = 1/2 (11 × 8 × 17)
A = 748.
Add these two volumes to find the volume of the composite figure:
748 + 680 = 1428 in³
Hope this helps!
(THERE ARE NO LINKS STOP REPORTING ME)
If f(x)= -4x 11, find f(5) + 2
Answer:
f(5)+2 = - 195 312 498Step-by-step explanation:
f(x)= -4x¹¹ ⇒ f(x) + 2 = -4x¹¹ + 2
f(5) means x=5
f(5)+2 = -4(5)¹¹ + 2 = -4(48 828 125) + 2 = -195 312 500 + 2 = - 195 312 498
what is the length of the base of a triangle with height 22.2 mm and area 293.04 mm squared
Answer:
b = 26.4 mm
Step-by-step explanation:
The formula for area of a triangle is A = 1/2bh
By plugging in what we know, we have 293.04 = 1/2b * 22.2
13.2 = 1/2b
26.4 = b
Solve for p.
p/2 − 3.71 = –3.51
p =
Step-by-step explanation:
mark me as the brainliest
Write the system of equations that best represent this graph in any form and find the
solution.
Answer:
Step-by-step explanation:
Each system is written in slope intercept form which is
y = mx + b
m is the slope and b is the y intercept.
The one for the green line is
y = x + 4
The red line is
y = x + 2
Emma drew 11 hearts and 20 cycles.What is the ratio of circles to hearts in simplified form?
The ratio of a to be is expressed as a/b or a:b
Given that Emma drew 11 hearts and 20 cycles, the ratio of circles to hearts would be
20/11
Looking at the above ratio, there are no common factors. This means that it cannot be simplified further. Therefore, the ratio of circles to hearts in simplified form is
20/11
What number added to 145 results in zero
Answer:
-145
Step-by-step explanation:
If you add a positive and negative number together, it cancels out and gives you zero.
Suppose that you have data recording the body weight and the running speed for each of several different jackrabbits. To summarize this data, it suffices to note the mean and SD for each of these two variables. a. True b. False
I think that it is true because it is asking for a summary of the data and finding the mean and standard deviation of the speeds and weight would give you the summary of all the data.
What is standard deviation?The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a larger range, a low standard deviation suggests that the values tend to be near to the established mean. The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation indicates that the data are grouped around the mean, whereas a high standard deviation shows that the data are more dispersed.
To know more about standard deviation,
https://brainly.com/question/16555520
#SPJ4
(9x-2)+(2x-8) I forgot how to do this
Answer:
Hey there!
9x-2+2x-8
11x-2-8
11x-10
Let me know if this helps :)
Answer:
11x - 10
Step-by-step explanation:
because there is a plus sign between the brackets, we just assume there are no brackets at all........so it will be:
9x - 2 + 2x - 8,,,,,,,,,bring the like terms together
9x + 2x - 2 - 8 = 11x -10.
the answer has a minus sign because when working out two negative numbers, we add them but still maintain the negative sign.
NOTE: If the sign between the brackets was a minus , the sign in the second expression would have changed from -8 to +8
6/7 divided by 2/9 i dnt knowwwww
Answer: 6/7 / 2/9 = 3/1 or 3 ✅
PLEASEEEE GIVE BRANLIEST
Step-by-step explanation:
To divide two fractions, you can invert the second one (the one being divided by) and then multiply the two fractions.
So:
(6/7) / (2/9) = (6/7) * (9/2)
To multiply the fractions, you just multiply the numerators together and multiply the denominators together.
(6/7) * (9/2) = (69)/(72)
= 54/14
So the final answer is 54/14.
You can also simplify the fraction by dividing the numerator and denominator by their greatest common factor.
54/14 = 3/1
So the final answer is 3/1 which is 3.
Find the slope of the line that passes through the pair of points (2, -3), (5, -4)
Answer:
-1/3
Step-by-step explanation:
y2-y1/x2-x1 is how you would find the slope
-4+3/5-2
-1/3
Find the surface area of the solid given the net
Tammy has a rectangular rug with an area of 28 square feet. The rug is 12 feet
longer than it is wide.
The equation to determine the length and width of the rug is
28 = w² + 12w
Since, the shape of the rug is rectangle, therefore area of rectangle has been used to obtain the solution.
What is a rectangle?
Rectangle is a flat, two-dimensional shape, having four sides and vertices with opposite sides being equal and parallel. We may easily represent a rectangle in an XY plane by using its length and breadth as the arms of the x and y axes, respectively.
Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.
We are given a rectangular rug with an area of 28 square feet.
Also, the rug is 12 feet longer than it is wide.
So,
Let 'l' be the length of the rug and 'w' be the width of the rug
As given, Length is 12 feet longer than its width
Therefore, l = w + 12
We know Area of rectangle = Length * Width and area is given to be 28 square feet.
So,
⇒28 = (w + 12)w
⇒28 = w² + 12w
Hence, the equation to determine the length and width of the rug is
28 = w² + 12w.
Learn more about rectangle from the given link
https://brainly.com/question/25292087
#SPJ1
Question: Tammy has a rectangular rug with an area of 28 square feet. The rug is 12 feet longer than it is wide.
Create an equation to determine the length and the width of the rug.
true or false
sin 30°=√3/2 and cos 30°=1/2
Answer:
false
Step-by-step explanation:
because it is vice versa
sin 30=1/2
cos 30=√3/2
The difference between Monica’s age and her father’s age is 32 years.16 years ago her father was 9 times as old as Monica. Find Monica’s age and her father’s age
Monica's age is 20 years and her father's age is 52
What is Simultaneous equation?Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . They are called simultaneous equations because the equations are solved at the same time. For example, below are some simultaneous equations: 2x + 4y = 14 4x − 4y = 4.
Represent Monica's age by x and her father's age by y
y -x = 32 equation 1
y-16= 9(x-16)
= y-16 = 9x -144
y-9x = -144+16
y - 9x = -128 equation 2
subtract equation 2 from 1
-x-( -9x )= 32-(-128)
8x = 160
x = 160/8
x = 20
substitute 20 for x in equation 1
y = 32+x
y = 32+20
y = 52
Therefore Monica's age is 20 and her father's age is 52
learn more about Simultaneous equation in from
https://brainly.com/question/16863577
#SPJ1
PLEASE HURRY
3x - 10 - 2x +5
What is the value of x?
-5
1
3
15
Answer:
its -5
Step-by-step explanation:
A uniform solid disk of radius R and mass M is free to rotate on a frictionless pivot through a point on its rim (see figure below). The disk is released from rest in the position shown by the copper-colored circle.
a) At the instant the rod is horizontal, find its angular speed. (Use any variable or symbol stated above along with the following as necessary: g for the acceleration of gravity.)
b) At the instant the rod is horizontal, find the magnitude of its angular acceleration. (Use any variable or symbol stated above along with the following as necessary: g for the acceleration of gravity.)
c) At the instant the rod is horizontal, find the x and y components of the acceleration of its center of mass. (Use any variable or symbol stated above along with the following as necessary: g for the acceleration of gravity.)
d) At the instant the rod is horizontal, find the components of the reaction force at the pivot. (Use any variable or symbol stated above along with the following as necessary: g for the acceleration of gravity.
a) angular speed = α = (2*g)/R
b) The magnitude of angular acceleration = |α| = (2*g)/R
c) x-acceleration of center of mass is zero, y-acceleration of center of mass is a_y = Rα = 2g
d) Force at the pivot is M*g
a) How to find angular speed?A horizontal rod has a disk with center of mass R from pivot. Gravitational force generates torque by acting perpendicularly to radius.
τ = F_gravity * R = MgR
Torque = moment of inertia × angular acceleration (due to gravitational force on disk).
τ = I * α
MgR = (1/2)MR^2*α
α = (2*g)/R
b) How to find angular acceleration?The magnitude of the angular acceleration is given by:
|α| = (2*g)/R
c) How to find acceleration of center of mass?At horizontal position, x-acceleration of center of mass is zero due to pivot point fixed in x-direction. The y-acceleration of center of mass is given by the expression.
a_y = Rα = 2g
d) How to find force at the pivot?d) When the rod is horizontal, the reaction force at pivot is perpendicular to rod and equal in magnitude to gravitational force on disk.
F_pivot = F_gravity = M*g
The reaction force at pivot has zero x and y components as it acts perpendicular to both axes.
Learn more about acceleration
brainly.com/question/12550364
#SPJ11
If you died tomorrow, what would you wish you had done?
Answer:
I would wise I had tried to reconnect with my ex best friend...