we have that the sum of the internal angles of a triangle is equal to 180 therefore,
for p
\(\begin{gathered} p+80+20=180 \\ p+100=180 \\ p+100-100=180-100 \\ p=80 \end{gathered}\)for q
\(\begin{gathered} 45+55+q=180 \\ 100+q=180 \\ 100+q-100=180-100 \\ q=80 \end{gathered}\)answer: B. p = q
Find the point that maximizes the objective functions P=2x+5y using constraints:
y>=10-2x
y<=7-1/2x
x>=0
y>=0
Answer:
(2,6)
Step-by-step explanation:
Which value of x in the equation 18x + 5 - 3 = 65 makes the equation true
Answer:
the value of x that makes the equation true is x = 3.5.
Step-by-step explanation:
To find the value of x that makes the equation 18x + 5 - 3 = 65 true, we need to simplify the equation and solve for x.
Starting with the equation:
18x + 5 - 3 = 65
First, combine like terms:
18x + 2 = 65
Next, isolate the term with x by subtracting 2 from both sides:
18x = 65 - 2
18x = 63
Finally, divide both sides of the equation by 18 to solve for x:
x = 63 / 18
x = 3.5
Therefore, the value of x that makes the equation true is x = 3.5.
The answer is:
x = 7/2 (3.5 in decimal form)Steps & work :
First, I focus only on the left side.
Combine like terms:
\(\sf{18x+5-3=65}\)
\(\sf{18x+2=65}\)
Subtract 2 from each side:
\(\sf{18x=63}\)
Now, divide each side by 18:
\(\sf{x=\dfrac{63}{18}\)
Clearly, this fraction is not in its simplest terms, and we can divide the top and bottom by 9:
\(\sf{x=\dfrac{7}{2}}\)
\(\therefore\:\:\:\:\:\:\stackrel{\bf{answer}}{\boxed{\boxed{\tt{x=\frac{7}{2}}}}}}\)
4.(03.01)
Is the following relation a function? (1 point)
A: Yes
B: No
Answer:
A
Step-by-step explanation:
X can only have 1 input buy Y can have many
Express the ratio DE/AB in simplest form
How many ways to paint a house with 3 different colors from a pool of 12 distinct colors
devide 255 in the ratio 3:7:7:10
Answer:5
Step-by-step explanation:
5098
Which linear function has the steepest slope?
On a coordinate plane, a line goes through points (0, 1) and (1, negative 2).
A 2-column table with 4 rows. Column 1 is labeled x with entries 3, 6, 9, 12. Column 2 is labeled y with entries 10, 13, 16, 19.
On a coordinate plane, a line goes through points (0, negative 2) and (1, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries 2, 4, 6, 8. Column 2 is labeled y with entries negative 4, negative 12, negative 20, negative 28.
Mark this and return
Answer:
Its answer d
Step-by-step explanation:
I took the quiz
A 2-column table with 4 rows. Column 1 is labeled x with entries 2, 4, 6, 8. Column 2 is labeled y with entries negative 4, negative 12, negative 20, negative 28.
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
<1 and <5 are ___ angles.
right
vertical
alternate interior
corresponding
angles.
Answer:
corresponding
Step-by-step explanation:
<1 and <5 are corresponding angles because they are on the same side of the transversal and on the same side of l and m
Please help me to answer this
The value of y varies directly with x. When y = 25,x = . What is the value of y when x is 4? A. 81 ) B. 121 2 103 7 162
The value of y is option (D) 162 1/2 when x = 4 7/8 and x and y varies directly.
We are given that:
x varies directly with y
when y = 25 , we have that x = 3 / 4
We need to find the value of y when the value of x is 4 7/8
First we will find the ratio between x and y.
y / x = 25 / (3 / 4)
y / x = 100 / 3
Now, put x = 4 in the expression, we get that:
y / (4 7/8) = 100 / 3
y / (39/8) = 100 / 3
8 y / 39 = 100 / 3
Use cross multiplication, we get that:
24 y = 3900
y = 3900 / 24
y = 1300 / 8
y = 650 / 4
y = 325 / 2
y = 162 1/2
Therefore, we get that, the value of y is option (D) 162 1/2 when x = 4 7/8 and x and y varies directly.
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Pls answer this quickly. I need at atleast 70%
The equation of the line with yellow point in slope intercept form is y = 7 / 6 x + 2.
How to find the equation of a line?The equation of a straight line can be represented in different form such as slope intercept form, point slope form, etc.
Therefore, let's represent the line with yellow point in slope intercept form.
Hence,
y = mx + b
where
m = slopeb = y-interceptTherefore, using (0, 2) and (6, 9).
m = 9 - 2 / 6 - 0
m = 7 / 6
Hence, let's find the y-intercept
y = 7 / 6 x + b
2 = 7 / 6(0) + b
b = 2
Therefore,
y = 7 / 6 x + 2.
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On the number line A,
I forgot
Do you take the free samples offered in super- markets? About 70% of all customers will take free samples. Furthermore, of those who take the free samples, about 30% will buy what they have sampled. Suppose you set up a counter in a supermarket offering free samples of a new product. The day you are offering free samples, 317 customers pass by your counter.
Answer:
222 customers took a free sample of the product, and 67 finally bought it.
Step-by-step explanation:
Given that 317 consumers passed through the sample stand, and taking into account that 70% usually take free samples, the number of people who take free samples is determined by the following calculation:
317 x 70/100 = X
22,190 / 100 = X
221.9 = X
Therefore, of the 317 consumers, about 222 took free samples of the product. Furthermore, of those 222, it is estimated that 30% bought the product after testing the sample. To determine the number of people who bought the product, the following calculation must be made:
222 x 30/100 = X
6,660 / 100 = X
66.6 = X
Therefore, 67 consumers purchased the product after taking a free sample of it.
What is the measurement of angle BAD? (angle BDC = 34, angle BDA = 37)
Since ∠BDA is an inscribed angle measuring 25°, the arc it intercepts, AB, must measure 50°. For the same reason, the arc intercepted by ∠BDA must measure 64°. That's a total of 114° out of the semicircle ABCD, which leaves 66° out of the 180° half-circle. That's the measure of arc BC.
Define measurement?Associating numbers with physical quantities and events is the process of measuring. The sciences, engineering, building, and other technological professions, as well as practically all daily activities, all depend on measurement.An object or event's attributes are quantified through measurement so that they can be compared to those of other things or occurrences. Measurement, then, is the process of establishing how big or little a physical quantity is in relation to a fundamental reference quantity of the same kind.Comparing a physical quantity with a recognized standard quantity of some kind is the process of measurement.Comparison of an unknown fixed quantity with a known fixed quantity of the same kind is measurement.To learn more about measurement refer to:
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Since ∠BDA is an inscribed angle measuring 25°, the arc it intercepts, AB, must measure 50°. For the same reason, the arc intercepted by ∠BDA must measure 64°. That's a total of 114° out of the semicircle ABCD, which leaves 66° out of the 180° half-circle. That's the measure of arc BC.
Define measurement?
Associating numbers with physical quantities and events is the process of measuring.The sciences, engineering, building, and other technological professions, as well as practically all daily activities, all depend on measurement.An object or event's attributes are quantified through measurement so that they can be compared to those of other things or occurrences.Measurement, then, is the process of establishing how big or little a physical quantity is in relation to a fundamental reference quantity of the same kind.Comparing a physical quantity with a recognized standard quantity of some kind is the process of measurement.Comparison of an unknown fixed quantity with a known fixed quantity of the same kind is measurement.To learn more about measurement refers to:
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Write a situation in which positive and negative numbers are used to describe values that have opposite meaning. What does 0 represent in this situation you Created? PLEASE PUT IT INTO LITTLE WORDS IM ONLY IN MIDDLE SCHOOL
NO PLAGIARISM
Answer:
Explained below.
Step-by-step explanation:
There are quite a few examples of this but I will go with what is common in physics which is "acceleration due to gravity".
Acceleration due to gravity is positive when an object is falling down in the direction of gravity but negative when it is thrown upwards and acting against gravity motion.
Thus;
g_downwards = 9.8 m/s²
g_upwards = -9.8 m/s²
If acceleration due to gravity is zero, it means that the object is at the centre of the earth because at that point g = 0.
Answer:
A miner digs 100ft underground. Then he went up to the surface and climbed all the way to the top of the mountain. The entrance of the underground cave represents 0.
Step-by-step explanation:
Find the missing side round to the nearest 10th please help
Step-by-step explanation:
Number 3
cos∅ = adj/hyp
cos35° = 20/x
x = 20/cos35°
x = 20/0.8192
x = 24.4155
x ≈ 24.4 to the nearest tenth
Option C
Number 6
tan∅ = opp/adj
tan37° = 20/x
x = 20/tan37°
x = 20/0.7536
x = 26.5409
x ≈ 26.5 to the nearest tenth
Option B
1. A 5 pound bag of dog treats cost $15.80. What is the uni
cost of the dog treats per pound?
Answer: $3.16 per pound
Step-by-step explanation:
$15.8/5=$3.16 per pound
Anne has an aquarium in the shape of a rectangular prism that measures 10 in. By 20 in. By 10 in. How many cubic inches of water can the aquarium hold?
Answer:
\(Volume = 2000\ in^3\)
Step-by-step explanation:
Given
Dimension: 10in by 20in by 10in
Required
Determine the capacity of the aquarium
This question implies that, we calculate the volume of the prism and this is calculated by multiplying the dimensions of the aquarium. i.e.
\(Volume = Length * Width * Height\)
Substitute values for the dimensions
\(Volume = 10 * 20 * 10\)
\(Volume = 2000\ in^3\)
Hence, the volume of the aquarium is 2000 cubic inches
Order the values from least to greatest
Answer:
option d
Step-by-step explanation:
6-,|-2|,|-4|,5,|9|
Answer:
-6,-4,-2,5,9 =a
the answer is a
CAN SOMEONE HELP WITH THIS QUESTION?✨
The approximation for the population of the bacteria 5 minutes from now is 3506 organisms.
How to approximate the population of the bacteria 5 minutes from now.Let's call the current time "t", and the population of the bacteria at time "t" be "P(t)".
Then, after 9 minutes, the population will be P(t + 9) = 3 * P(t). And after 5 minutes, the population will be P(t + 5) = 3^(5/9) * P(t).So, we have two points on the curve:
(t, P(t)) = (0, 1661), and (t + 9, P(t + 9)) = (9, 3 * 1661) = (9, 4983).
The equation of the line that passes through these two points can be found using the point-slope form of the line:
y - y1 = m(x - x1)
Substituting the points into the equation, we get:
4983 - 1661 = m(9 - 0)
m = (4983 - 1661) / (9 - 0) = 3322 / 9 = 369
So, we have
y = 369x + 1661
For the next 5 minutes, we have
P(t + 5) ≈ y = 369 * 5 + 1661 = 3506 (rounded to the nearest whole number)
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Water is boiled at sea level in a coffee maker equipped with an immersion-type electric heating element. The coffee maker contains 1 L of water when full. Once boiling starts, it is observed that half of the water in the coffee maker evaporates in 25 min. Determine the power rating of the electric heating element immersed in water. Also, determine how long it will take for this heater to raise the temperature of of cold water from to the boiling temperature.
It will take 2.96 minutes for the electric heating element to raise the temperature of cold water from to the boiling temperature.
The power rating of the electric heating element can be determined by using the equation:
Power = (Mass of water × Specific heat capacity × Change in Temperature)/Time taken
For the given case, the power rating of the electric heating element = (1 L × 4.18 kJ/kgK × 100°C)/25 min = 16.7 kW
To determine how long it will take for this heater to raise the temperature of cold water from to the boiling temperature, we can use the equation:
Time taken = (Mass of water × Specific heat capacity × Change in Temperature)/Power
For the given case, the time taken = (1 L × 4.18 kJ/kgK × 100°C)/16.7 kW = 2.96 min.
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What is the probability that someone in the United States owns at least one dog?
Answer: 39% chance
Step-by-step explanation: you look it ip on goooogle
a high school sells students tickets for $5 as well as general admission tickets for $7 to attend thier football games. The school needs to bring in at least $1500 per game in order to maintain the costs of the football team
The cost of students ticket is $37.5and the cost of general admission is $187.5.
What is system of equations?A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, also known as a system of equations or an equation system.
Assume s be the students tickets cost and g be the general admission cost.
From the given information,
⇒ s + g = 225 ..(1)
5s + 7g = 1500 ..(2)
From equation (1),
s = 225 - g
Plug the value of s in equation (2)
5(225 - g) + 7g = 1500
1125 - 5g + 7g = 1500
2g = 1500 - 1125
2g = 375
g = 187.5
Plug g = 125 in equation (1),
s + 187.5= 225
s = 225 - 187.5
s = 37.5
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3. Create a graph that shows three linear relationships with different y-intercepts using
the following slopes, and write an equation for each line.
Slopes:
●
5/5 5/5 115
3
y
Setting x = 0, we get the y-intercept: y = 31/5. So, the equation of the line is y = 6/5x + 31/5.
What does line intersect?In geometry, a line intersect is a point where two or more lines cross or meet. When two lines intersect, they share a single point in common, which is called the point of intersection. This point of intersection is the solution to the system of equations formed by the two lines.
by the question.
To find different y-intercepts using the given slopes, we need to use the point-slope form of the equation of a line, which is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. To find the y-intercept, we can set x = 0 and solve for y.
For slope 1/5, let's choose the point (2, 3) on the line. Using the point-slope form, we get:
y - 3 = 1/5(x - 2)
y - 3 = 1/5x - 2/5
y = 1/5x + 13/5
Setting x = 0, we get the y-intercept: y = 13/5. So, the equation of the line is y = 1/5x + 13/5.
For slope 3/5, let's choose the point (4, 2) on the line. Using the point-slope form, we get:
y - 2 = 3/5(x - 4)
y - 2 = 3/5x - 12/5
y = 3/5x + 8/5
Setting x = 0, we get the y-intercept: y = 8/5. So, the equation of the line is y = 3/5x + 8/5.
For slope 6/5, let's choose the point (-1, 5) on the line. Using the point-slope form, we get:
y - 5 = 6/5(x + 1)
y - 5 = 6/5x + 6/5
y = 6/5x + 31/5
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m grade> Y.4 Area and perimeter: word problems JFR
A rectangular garage is 6 meters wide and 7 meters long. What is its perimeter?
Answer:
26 meters
Step-by-step explanation:
To solve the perimeter you need to know the formula which is 6 + 7 x 2 and you get 26 meters
The equation for the line of best fit for change in temperature, y, to amount of rain, r, is given by ŷ = − 1.4r + 0.2. On Monday, the observed amount of rain was 0.4 inches and the temperature change was 2.3 degrees. Find and interpret the residual.
2.66; The line of best fit overpredicts the temperature change.
2.66; The line of best fit underpredicts the temperature change.
1.94; The line of best fit underpredicts the temperature change.
−1.94; The line of best fit overpredicts the temperature change.
The correct statement regarding the residual in this problem is given as follows:
2.66; The line of best fit underpredicts the temperature change.
What are residuals?For a data-set, the definition of a residual is that it is the difference of the actual output value by the predicted output value, that is:
Residual = Observed - Predicted.
For a rain amount of 0.4 inches, the predicted temperature change is given as follows:
y = -1.4 x 0.4 + 0.2
y = -0.36.
Then the residual is given as follows:
R = 2.3 - (-0.36)
R = 2.66 -> underpredicts the change.
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Answer:
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sofiapenaloza
05/31/2023
Mathematics
College
answered • expert verified
The equation for the line of best fit for change in temperature, y, to amount of rain, r, is given by ŷ = − 1.4r + 0.2. On Monday, the observed amount of rain was 0.4 inches and the temperature change was 2.3 degrees. Find and interpret the residual.
2.66; The line of best fit overpredicts the temperature change.
2.66; The line of best fit underpredicts the temperature change.
1.94; The line of best fit underpredicts the temperature change.
−1.94; The line of best fit overpredicts the temperature change.
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joaobezerra
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31.3K answers
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The correct statement regarding the residual in this problem is given as follows:
2.66; The line of best fit underpredicts the temperature change.
What are residuals?
For a data-set, the definition of a residual is that it is the difference of the actual output value by the predicted output value, that is:
Residual = Observed - Predicted.
For a rain amount of 0.4 inches, the predicted temperature change is given as follows:
y = -1.4 x 0.4 + 0.2
y = -0.36.
Then the residual is given as follows:
R = 2.3 - (-0.36)
R = 2.66 -> underpredicts the change.
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Step-by-step explanation:
Learning Task 3 Answer the questions that follow. Put a check mark (/) on the space provided. Copy and answer in your math notebook. 1. The units for Volume are always ______squared _____cubed 2. Volume is the amount of space an object takes up. ___True ___False Calculate for the volume of solid. 3. Chona is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches. 4. A 3-tier cake with the same height of 10 in and radius of 12 in, 8 in, 5 in respectively is to be delivered to a birthday party. How much space does this cake take up? Use 3.14 for π. 5. A Styrofoam model of a volcano is in the shape of a cone. The model has a circular base with a diameter of 48 centimeters and a height of 12 centimeters. Find the volume of foam in the model to the nearest tenth. Use 3.14 for π.
3. The volume of the Pringle Chips container is approximately 2034.72 cubic inches.
4. The cake takes up approximately 7317 cubic inches of space.
5. The volume of foam in the model of the volcano is approximately 7234.08 cubic centimeters.
1. The units for Volume are always cubed.
2. Volume is the amount of space an object takes up. True.
3. To calculate the volume of the Pringle Chips container, we need to find the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where π is a constant (approximately 3.14), r is the radius, and h is the height. Given that the diameter is 9 inches, the radius would be half of that, which is 4.5 inches. Substituting the values into the formula, we have:
V = 3.14 * (4.5)^2 * 32
V = 3.14 * 20.25 * 32
V ≈ 2034.72 cubic inches
4. To find the volume of the 3-tier cake, we need to find the volume of each tier separately and then add them together. Since all the tiers are cylinders, we can use the formula V = πr^2h.
Tier 1:
V1 = 3.14 * (12)^2 * 10 = 4521.6 cubic inches
Tier 2:
V2 = 3.14 * (8)^2 * 10 = 2010.4 cubic inches
Tier 3:
V3 = 3.14 * (5)^2 * 10 = 785 cubic inches
Total volume:
Total V = V1 + V2 + V3
Total V = 4521.6 + 2010.4 + 785
Total V ≈ 7317 cubic inches
5. To find the volume of the Styrofoam model of the volcano, we can use the formula for the volume of a cone, V = (1/3)πr^2h. Given that the diameter is 48 centimeters, the radius would be half of that, which is 24 centimeters. Substituting the values into the formula, we have:
V = (1/3) * 3.14 * (24)^2 * 12
V = (1/3) * 3.14 * 576 * 12
V ≈ 7234.08 cubic centimeters
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Can someone please help me? I’ll give brainly :) question is in photo
Answer:
Step-by-step explanation:
So basically you would cut the block in half however you'd like but this is how I did it- first you would multiply one side the side I chose has the numbers 7*15*10 so you multiply those getting 1050 then set that aside and do the other side with the numbers of 6*5*10 which if you multiply you would get 300 then you add the first number 1050+300 = 1350 •tbh this might not be correct I tried•
If a coconut has tree has 12 coconut on it if 25% of the coconuts fell to the ground how many fell
Answer:
It would be three coconuts hope this helped
Step-by-step explanation:
For which value of k does Limit as x approaches kf(x) = 4?
0
2
6
8
Answer:
2
Step-by-step explanation:
on Edge
Answer: 2
Step-by-step explanation:
have a great day!