Answer: THE ANSWER IS Blank 1: 200, Black 2: 1000, Blank 3: 800, Blank 4: 30+0.50x, Blank 5: y=50=0.30x.
Step-by-step explanation: Please give Brainliest.
Hope this helps!!!!
I can answer more questions for Brainlist.
After 1 minute, a submarine had descended to −320 feet. After 8 minutes, the submarine had descended to −460 feet. Assuming a linear function, write an equation in the form d(t)=mt+b that shows the depth, d(t), after t minutes.
The equation that shows the depth of the submarine after t minutes is d(t) = (-140/7)t + 460.
We can use the two points given to find the slope of the line, which will give us the rate of change of depth per minute.
The slope is m = (change in depth) / (change in time)
= (-460 - (-320)) / (8 - 1)
= -140/7
Now that we have the slope, we can use the point-slope form of a linear equation to write the equation in the form d(t) = mt + b
where m is the slope we just found and b is the y-intercept (the depth when t=0):
d(t) - (-320) = (-140/7) × (t - 1)
Simplifying, we get:
d(t) = (-140/7)t + 320 - (-140/7)
= (-140/7)t + 460
Therefore, the equation that shows the depth of the submarine after t minutes is d(t) = (-140/7)t + 460.
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What are the coordinates of the image of the point (-9,4) after a 90 degree clockwise rotation followed by a translation 3 units right?
The coordinates of the rotated image is P' ( 7 , 9 )
To find the image of the point (-9, 4) after a 90 degree clockwise rotation followed by a translation 3 units right
Rotate the point (-9, 4) 90° clockwise
(x', y') = (y, -x)
On simplifying , we get
(x1, y1) = (4, -(-9)) = (4, 9)
Translate the point 3 units right:
To translate a point to the right, we add the translation distance to the x-coordinate
So, applying this translation, we get:
(x2, y2) = (4+3, 9) = (7, 9)
Hence , the coordinates of the image of the point (-9, 4) after a 90 degree clockwise rotation followed by a translation 3 units right are (7, 9)
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The scatterplot displays the number of pretzels students could grab with their dominant hand and their handspan, measured in centimeters. An analysis was completed and the computer output is shown.
A graph titled Grabbing Pretzels has handspan (centimeters) on the x-axis, and number of pretzels on the y-axis. A line goes through points (19, 16) and (22, 20).
Predictor Coef SE Coef t-ratio p
Constant -14.71 4.317 1.689 0.046
Handspan 1.585 0.310 5.114 0.000
S = 3.05 R-Sq = 52.1% R-Sq(Adj) = 51.7%
Using the computer output, what is the predicted number of pretzels a person with a handspan of 21 cm could grab?
a) 8.10 pretzels
b) 10.83 pretzels
c) 18.58 pretzels
d) 75.95 pretzels
The slope of the Least-Square Regression Line is 1.585 from the regression output given, hence, for each additional increase in hand span, the number of pretzels increases by 1.585
Given that,
A graph titled Grabbing Pretzels has hand span (centimeters) on the x-axis, and number of pretzels on the y-axis. A line goes through points (19, 16) and (22, 20).
Predictor Coef SE Coef t-ratio p
Constant -14.71 4.317 1.689 0.046
Hand spun 1.585 0.310 5.114 0.000
S = 3.05 R-Sq = 52.1% R-Sq(Adj) = 51.7%
The slope of a linear regression line gives the rate of increase in y-value per change in x
The Handspun Coefficient on the table is the slope of the regression line
Therefore, for every 1 centimeter increase in handspun, number of pretzels increases by 1.585
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complete question:
The scatterplot displays the number of pretzels students could grab with their dominant hand and their handspan, measured in centimeters. An analysis was completed and the computer output is shown.
A graph titled Grabbing Pretzels has handspan (centimeters) on the x-axis, and number of pretzels on the y-axis. A line goes through points (19, 16) and (22, 20).
Predictor Coef SE Coef t-ratio p
Constant -14.71 4.317 1.689 0.046
Handspan 1.585 0.310 5.114 0.000
S = 3.05 R-Sq = 52.1% R-Sq(Adj) = 51.7%
Using the computer output, the slope of the least-squares regression line means for each additional
(c) Figure 6 shows the triangle ABC, with all side lengths measured in centimetres.
side AB = 14.6 cm
side AC = 21.4 cm
side BC = 7.5 cm
(i) Find angle ABC, giving your answer correct to the nearest degree.
(ii) Find the area of triangle ABC, giving your answer correct to the nearest square centimetre.
Answer:
angle B ≈ 149°area ≈ 28 cm²Step-by-step explanation:
You want the largest angle and the area of a triangle with side lengths 7.5 cm, 14.6 cm, and 21.4 cm.
Law of cosinesThe law of cosines tells you ...
b² = a² + c² -2ac·cos(B)
Solving for angle B, we have ...
B = arccos((a² +c² -b²)/(2ac))
B = arccos((7.5² +14.6² -21.4²)/(2·7.5·14.6)) ≈ 149° . . . angle ABC
AreaThe area of the triangle can be found using the formula ...
Area = 1/2(ac·sin(B))
Area = 1/2·7.5·14.6·sin(149°) ≈ 28 cm² . . . area
__
Additional comment
Angle ABC is opposite side AC, which is the longest side. Hence, angle ABC is the largest angle.
We used the original (full precision) angle value to calculate the area. The rounded angle value would be inappropriate for that purpose. (Second attachment.) Note the calculator mode is set to DEGrees.
find the surface area of the right cylinder.
3m
8m 9.1m
10.) The surface area of the right cylinder would be =157m²
How to calculate the surface area of a right cylinder?The cylinder is defined as the type of object that has three parts which consists of two opposite circles and a curved surface that joins them.
To calculate the surface area of the given right cylinder, the formula that should be used would be given below:
Surface area of cylinder = 2πrh + 2πr²
Where;
radius = 2.5 ft
height = 7.5 ft
surface area = 2×3.14×2.5×7.5 + 2×3.14× 2.5×2.5
= 117.75 + 39.25
= 157m²
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Natalie is planning a field day for all the third and fourth graders.
There are 35 students in each of the 3 third grade classrooms and a
total of 112 fourth graders. She wants to have 6 groups and divide
the students as evenly as possible. How can she arrange the
students in groups so that they are as even as possible?
Answer:
5 groups of 36 with one group with 37.
Hope this helps!
Step-by-step explanation:
35 students × 3 classes = 105 total number of third graders
105 third graders + 112 fourth graders = 217 total number of students
217 students ÷ 6 groups = 36.16666... students in each group
Because students cannot be decimals or fractions and have to be whole, there will be 5 groups of 36 with a 6th group with 37 students.
36 + 36 + 36 + 36 + 36 + 37 = 217
3The number of boys in a mixed school is 280. The ratio of boys to girls is 4: 5. Find the total number of students in the school.
Answer:
124
Step-by-step explanation:
add 4 and 5 which gives you 9
the solve 280 x 4/9
and you get 124
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A large random sample of female German Shepherd dogs found that the height of the dogs had a normal distribution with a mean height of 23.2 inches and a standard deviation of 0.8 inches. Based on this, what percent of female German Shepherds would be more than 22.7 inches tall?
Answer:
73.4%
Step-by-step explanation:
The standardized value, or z-score, for a height of 22.7 inches can be calculated as:
z = (22.7 - 23.2) / 0.8 = -0.625
Using a standard normal distribution table, we can find that the area to the right of z = -0.625 is 0.734, or 73.4%.
If the indicator on a flow rate meter moves 85 degrees in 16.5 seconds, what is it’s average angular speed during this time
The average angular speed during this time is 0. 089 rads/sec
What is angular speed?Angular speed can simply be defined as the rate of change of angular displacement with respect to time.
The unit that is used to measure angular speed is radians per second.
The formula used for calculating angular speed is expressed as;
w = θ/t
Given that;
ω is the angular speedt is the time in secondsθ is the angleNote that;
2π radians = 360 degrees
Then x = 85 degrees
x = 1. 48 radians
Substitute the values
ω = 1.48/16. 5
Divide the values
ω = 0. 089 rads/sec
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Calculator What is the volume of this sphere? 8m cm³
Step-by-step explanation:
the formula
4/3πr3
so
36π cm3 is the answer
Answer: 113.1 cm³
Step-by-step explanation:
[tex]V=\frac{4}{3}\pi r^{3}[/tex] r=3
= [tex]\frac{4}{3} \pi 3^{3}[/tex]
[tex]=36\pi[/tex]
=113.1 cm³
3) Calculate the shaded area for the given figure.
←4-
The shaded area for the given figure is equal to 10.32 square units.
How to calculate the area of a rectangle?In Mathematics and Geometry, the area of a rectangle can be calculated by using the following mathematical equation:
A = LB
Where:
A represent the area of a rectangle.B represent the breadth of a rectangle.L represent the length or height of a rectangle.By substituting the given parameters into the formula for the area of a rectangle, we have the following;
Area of rectangle = 4 × 12
Area of rectangle = 48 square units.
For the total area of circle, we have:
Area of circle, A = πr²
Total area of circle, T = 3 × 3.14 × (4/2)²
Total area of circle, T = 37.68 square units.
Shaded area = 48 square units - 37.68 square units.
Shaded area = 10.32 square units
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
José is at an antique car show. He records
the types of cars he sees in the table. What
is the experimental probability for each type
of car he sees at the car show?
The experimental probability for each type of car that José sees at the car show is determined using the formula:
Probability of each car = number of each car seen/total number of cars What is experimental probability?Experimental probability is one that is primarily based on a series of tests.
A random experiment is carried out and repeatedly repeated, with each repetition acting as a trial, to assess their likelihood.
Because the goal of the experiment is to ascertain the likelihood that an event will occur, or whether it will occur at all.
Examples include tossing a coin, rolling dice, or spinning a spinner. In mathematics, the probability of an event is always equal to its frequency divided by the total number of trials.
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what is 10% of 480kg
12 Look at the expression below.
1/2 (a + b) - (a - b)²
What is the value of the expression
when a = 18 and b = 14?
A 32
B
12
C8
D 0
2
I NEED HELP FAST!!!
A cone has a radius of 2 inches and a slant height of 12 inches.
What is the exact surface area of a similar cone whose radius is 6 inches?
Enter your answer in the box.
Surface area of similar cone =
in²
PLEASE HELP IT MEANS ALOT TYSM
Applying the inscribed angle theorem, the value of x in the given circle is: x = 35.
How to Apply the Inscribed Angle Theorem?In the circle given, angle NWT is an inscribed angle in the given diagram and arc NT is the intercepted arc. According to the inscribed angle we have the following equation which we would use to solve for the value of x:
m<NWT = 1/2(measure of arc NT)
Plug in the values:
54 = 1/2(x + 2x + 3)
2(54) = x + 2x + 3
108 = 3x + 3
Solve for x:
108 - 3 = 3x
105 = 3x
105/3 = x
x = 35
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Eren asked Levi, "In general, how tall are giraffes?"
Is this a statistical question?
Answer:
Yes
Step-by-step explanation:
This is a statistical question because you have to collect statistical data to answer the question
2^2 x 2^3 as a positive single exponet
The expression with a single positive exponent is:
[tex]2^5[/tex]
How to rewrite the expression with a single exponent?Remember the rule for a product of two powers with the same base:
[tex]x^n*x^m = x^{n + m}[/tex]
So we just need to add the two exponents (remember that we only can do this when the two bases are the same ones)
In this case, we have the expression:
[tex]2^2*2^3[/tex]
In both powers the base is 2, then we can just use the rule defined above and add the exponents, we will get the expression:
[tex]2^2*2^3 = 2^{2 + 3} = 2^5[/tex]
That is the expression with a single positive exponent.
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simplify
[tex]\frac{3\sqrt{7}+6\sqrt{2} }{4\sqrt{2}+2\sqrt{7} }[/tex]
Answer:
3/2
Step-by-step explanation:
Using the surds addition
-8 times 8 - [-4+4-(-3)]=
Answer:
-67
Step-by-step explanation:
-8 · 8 - [-4+4-(-3)]
= -64 - [-4+4-(-3)]
= -64 - [-4+4+3]
= -64 - [3]
= -64 - 3
= -67
Find the mean and the standard deviation of the data set {10, 1, 4, 1, 2}.
Answer:
mean = 3.6
standard deviation = 3.8
Step-by-step explanation:
The mean of a set of numbers is the sum divided by the number of terms, and The sample standard deviation measures the spread of data distribution of the sample. It is usually used to estimate the population standard deviation.
hope this helps!
In △EFG
, m∠E=(8x+5)°
, m∠F=(x−11)°
, and m∠G=(2x−1)°
. What is m∠E
to the nearest degree?
Answer: 141 °
Step-by-step explanation:
we know sum of angles of a triangle is always 180°.(Angle sum property)
then,
∠E+∠F+∠G=180°
8x+5+2x-1+x-11=180°
11x-7=180C
x=187/11
x=17°
m∠E=8x+15=8*17+5=141°
Thabang is a cyclist on an avareage of 500 in 1 minute determine the formula for distance
The required formula for distance is distance = 500t, where t is the time in minutes and distance is the distance traveled in the corresponding time.
If Thabang's speed is 500 units per minute, then the formula for distance traveled in a certain amount of time t in minutes would be:
distance = speed x time
In this case, Tha bang's speed is 500 units per minute, so the formula becomes:
distance = 500t
Where t is the time in minutes and distance is the distance traveled in the corresponding time.
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Which ordered pair best describes the point plotted in Quadrant I on the coordinate plane shown?
(4, -6)
(4, 6)
(6, 4)
(-4, 6)
Answer:
(4, 6)
Step-by-step explanation:
The first quadrant is in the top right, second is in bottom right, third in bottom left, and fourth in top left.
The x-axis is told by the first number listed in the point (#, #), and the y-axis is listed in the second number.
(4, -6) is in the second quadrant and is listed on the graph.
(4, 6) is in the first quadrant and is listed on the graph.
(6, 4) is in the first quadrant and is not listed on the graph.
(-4, 6) is in the fourth quadrant and is not listed on the graph.
(the point in the third quadrant is at the point (-4, -6), which is not listed)
Brainliest? ;)
7
A number cube was rolled as part of an experiment. The results are displayed in the table below.
Number
Frequency
1 2
3
4 6 5
4
7
5 6
3 ¹5
What is the best explanation of how to find the experimental probability of rolling a 3?
O To find the experimental probability of rolling a three, write a ratio of the number of times three occurs to the total
number of trials. Simplify if necessary.
O To find the experimental probability of rolling a three, write a ratio of the total number of trials to the frequency of the
number three. Simplify if necessary.
O To find the experimental probability of rolling a three, write a ratio of the number three to the total number of trials.
Simplify if necessary.
To find the experimental probability of rolling a three, write a ratio of the total number of trials to the number three.
Simplify if necessary.
Answer:
To find the experimental probability of rolling a 3, we need to write a ratio of the number of times 3 occurs to the total number of trials. Therefore, the best explanation of how to find the experimental probability of rolling a 3 is:
Step-by-step explanation:
"To find the experimental probability of rolling a three, write a ratio of the number of times three occurs to the total number of trials. Simplify if necessary."
In this case, we can see from the table that the number 3 occurs 5 times out of a total of 35 trials. Therefore, the experimental probability of rolling a 3 is:
experimental probability of rolling a 3 = number of times 3 occurs / total number of trials
experimental probability of rolling a 3 = 5 / 35
experimental probability of rolling a 3 = 1/7
Therefore, the experimental probability of rolling a 3 is 1/7, or approximately 0.143 or 14.3%.
An ordinary annuity that earns 7.5% compounded monthly has a current balance of $500000. The owner of the account is about to retire
and has to decide how much to withdraw from the account each month.
Find the number of withdrawals under each of the following options:
(a) $5000 monthly (b) $4000 monthly (c) $3000 monthly
Isabel is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.
Company A charges $121 and allows unlimited mileage.
Company B has an initial fee of $65 and charges an additional $0.70 for every mile driven.
For what mileages will Company A charge less than Company B?
Use m for the number of miles driven, and solve your inequality for m.
The range of mileages that Company A would charge less than Company B would be m > 80.
How to find the mileages ?The function for Company A is $ 121 to show that the company price does not change.
The function of Company B would be 65 + 0. 70 m to show that $ 0.70 is charged per mile.
The mileage where Company B charges more is:
121 < 65 + 0. 70 m
56 < 0. 70 m
m > 56 / 0. 70
m > 80
In conclusion, when the miles are over 80 miles, then Company B is more expensive.
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Model Question 1) J Ina Surve among 330 Students. It was found that Viso liked Mathematics, Looliked Social and 50 likes both subjects. Then find the number of students who. i) like at least one Subject. Like at most one Subject w did not like mathematics and Science iv) like only one Subjeet v illustrate the above information in Venn diagram
the number of students who like at least one subject cannot be determined from the given information. The number of students who like at most one subject and did not like Mathematics and Science is s, and the number of students who like only one subject is m + s - 100.
How to solve the question?
Based on the given information, we can construct a Venn diagram with three sets: M (Mathematics), S (Social), and N (None or neither Mathematics nor Social). Let the number of students who like Mathematics, Social, and neither be denoted by m, s, and n, respectively.
We know that there are 330 students in total, and 50 of them like both Mathematics and Social. Thus, we can start filling in the diagram as follows:
Next, we know that m + 50 students like Mathematics, and s + 50 students like Social. However, we have to subtract the 50 students who like both from both groups to avoid double-counting. Therefore:
m + 50 - 50 = m
s + 50 - 50 = s
We also know that there are no students who like neither Mathematics nor Social, so n = 0.
Now, we can use the principle of inclusion-exclusion to find the number of students who like at least one subject. This is simply the union of the three sets M, S, and N:
| M ∪ S ∪ N | = | M | + | S | + | N | - | M ∩ S | - | M ∩ N | - | S ∩ N | + | M ∩ S ∩ N |
| M ∪ S ∪ N | = m + s + 0 - 50 - 0 - 0 + 50
| M ∪ S ∪ N | = m + s
Therefore, the number of students who like at least one subject is m + s, which we can't determine from the given information.
To find the number of students who like at most one subject and did not like Mathematics and Science, we need to focus on the sets S and N. Since we know that n = 0, we can simplify the diagram:
We are looking for the number of students who like at most one subject and did not like Mathematics and Science, which is simply the set S (since no one likes neither Mathematics nor Social). Therefore, the number of students who like at most one subject and did not like Mathematics and Science is s.
Finally, to find the number of students who like only one subject, we need to subtract the number of students who like both subjects from the total number of students who like at least one subject:
| M ∪ S | = | M | + | S | - | M ∩ S |
| M ∪ S | = m + s - 50
The number of students who like only one subject is therefore:
| M ∪ S | - | M ∩ S | = (m + s - 50) - 50 = m + s - 100
In summary, the number of students who like at least one subject cannot be determined from the given information. The number of students who like at most one subject and did not like Mathematics and Science is s, and the number of students who like only one subject is m + s - 100.
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NEED HELP WILL GIVE BRAINLIEST AND 5 STARS I HAVE 20 MINUTES PLEASE HELP!
For this rational function, find the domain of m(x)
Answer:
hope this helps in some form of a way....im not that good with math:(
Step-by-step explanation:
Graph the following linear equation.
Determine the slope and y - intercept
Y=3x +2
Answer air undefined is selected, the slope value is undefined. Otherwise, the box value is used.
A graph of the linear equation is shown below.
The slope of this linear equation is equal to 3.
The y-intercept of this linear equation is equal to 2.
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is represented by this mathematical expression;
y = mx + c
Where:
m represent the gradient, slope, or rate of change.x and y represent the data points.c represent the vertical intercept, y-intercept or initial number.Based on the information provided above, a linear equation that models the line is represented by this mathematical equation;
y = mx + c
y = 3x + 2
By comparison, we have the following:
mx = 3x
Slope, m = 3.
Initial value or y-intercept, c = 2.
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