Answer:
Step-by-step explanation:
A. The extreme point which can be the maximum or minimum is called the vertex.
B. Parabolas increase or decrease which refers to the maximum or minimum.
An aquarium has exhibits that feature different marine animals. 5/8 of the staff are male. 5/12 of the staff works part time at the aquarium. What fraction of the staff is female?
Answer:
The fraction of the staff is female is [tex]\frac{3}{8}[/tex]Step-by-step explanation:
Given that an aquarium has exhibits that feature different marine animals.
Also given that [tex]\frac{5}{8}[/tex] of the staff are male.
[tex]\frac{5}{12}[/tex] of the staff works part time at the aquarium
To find the fraction of the staff is female:Let the entire staff is represented by the fraction [tex]\frac{8}{8}[/tex].
The fraction of the staff is female is given by[tex]\frac{8}{8}-\frac{5}{8}[/tex]
[tex]=\frac{8-5}{8}[/tex]
[tex]=\frac{3}{8}[/tex]
∴ The fraction of the staff is female is [tex]\frac{3}{8}[/tex]Use the drop downs to answer the following questions of finding the distance from (–6, 2) to the origin. Use (0, 0) as (x1, y1). d = StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot What is the difference of the x-coordinates, (x2–x1)? What is the difference of the y-coordinates, (y2–y1)? What is the distance from (–6, 2) to the origin?
Answer:
What is the difference of the x-coordinates, (x2–x1)?
-6
What is the difference of the y-coordinates, (y2–y1)?
2
What is the distance from (–6, 2) to the origin?
6.32
The difference between the x-coordinates, (x2–x1) is -6, and (y2-y1)=2
and The distance from (–6, 2) to the origin is 6.32.
We have given a point,
[tex](x_1,y_1)=(0,0)[/tex]
x1=0 and y1=0,
[tex]\ (x_2,y_2)=(-6,2)\\\\[/tex]
x2=-6 and y2=2,
What is the distance formula?
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have to find the difference of the x-coordinates, (x2–x1),
=-6-0
=-6
The difference of the y-coordinates, (y2–y1),
=2-0
=2
The distance from (–6, 2) to the origin,
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d=\sqrt{(6)^2+(2)^2} \\d=\sqrt{36+4} \\d=\sqrt{40}[/tex]
[tex]d=\sqrt{40} \\d=6.32[/tex]
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X/6.5=0.1820
What is x equal to
Answer:
X = 1.183
Step-by-step explanation:
X/6.5=0.1820
Multiply each side by 6.5
X/6.5 * 6.5=0.1820*6.5
X = 1.183
You have a quarter, 3 nickles, 2 pennies and 4 dimes in your pocket. What's the probability that you randomly select a quarter or penny?
What is the domain of 6x+7/9x+2
Answer:
Domain of the function is (inf, -inf)
Step-by-step explanation:
For a regular 36-gon, what is the sum of measure of each interior angle?
Answer:
170°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2)
Here n = 36, thus
sum = 180° × 34 = 6120°
The size of each interior angle = [tex]\frac{6120}{36}[/tex] = 170°
Final answer:
The sum of the measures of each interior angle of a regular 36-gon is 6120 degrees.
Explanation:
For a regular 36-gon, or a polygon with 36 sides, we can calculate the sum of the measures of the interior angles using the formula ((n - 2) × 180°), where n is the number of sides. So for a regular 36-gon:
((36 - 2) × 180°) = (34 × 180°) = 6120°.
Therefore, the sum of the measures of each interior angle of a regular 36-gon is 6120 degrees.
What is the equation of the line that passes through the point
(−5,1) and has a slope of -1/5
Answer:
i think it is x=5y
Step-by-step explanation:
Answer:
y - 1 = -1/5(x + 5)
y - 1 = -1/5x - 1
y = -1/5x
Step-by-step explanation:
What is the equation of the line that passes through the point
(−3,1) and has a slope of -2
The current cost of gourmet coffee Is $14 per pound At the corner market the cost has increased 10% Per year over the past few years What did the coffee cost 2 years before ?
Answer:
$11.57
Step-by-step explanation:
Let's call the price of the coffee two years ago by X.
The price increased 10% per year (that is, the price is multiplied by 1+0.1=1.1) over two years, so the current price is:
X * 1.10 * 1.10 = X * 1.21
If the current price is $14, we have that:
X * 1.21 = 14
X = 14/1.21 = 11.57
The price of the coffee two years ago was $11.57
f(t) = t^2 - 5t; Find f(-8)
Answer:
f(-8) = 104
Step-by-step explanation:
f(t) = t^2 - 5t
Let t=-8
f(-8) = (-8)^2 -5(-8)
= 64 +40
= 104
Pls mark Brainliest.
Answer:
f(-8) = 104
Step-by-step explanation:
f(-8) = (-8)^2 - 5(-8)
f(-8) = 64 + 40
f(-8) = 104
Motor cortex and somatosensory cortex are _____.
A. organized in similar manner adjacent to each other, and are anatomically similar from one person to the next
B. dispersed along the ventral and dorsal, respectively
C. located on the left and right sides, respectively, of the cerebellum
D. located in the hypothalamus and hippocampus, respectively
E. located in the thalamus and hypothalamus, respectively
Answer: A) organized in similar manner adjacent to each other, and are anatomically similar from one person to the next.
The physical organization of the motor cortex and somatosensory cortex, which are located next to one another, is the same in every individual. Hence, Option A is correct.
What is the meaning of cortex?
The brain's cerebral cortex is located on the outside. It looks wrinkled because of the numerous folds on its surface. Numerous deep grooves, or sulci, and elevated regions, or gyri, make up the folds.
These folds increase the surface area of the cerebral cortex, which enables more nerve cells to handle significant amounts of information. A nerve cell's dendrites are the area where a chemical communication from another cell is received. The mass of the brain is roughly divided in half by the cerebral cortex.
There are between 14 billion and 16 billion nerve cells in each of the six layers that make up the cerebral cortex. The brain's gray matter, which is located in the outer layer, is made up of nerve cell bodies, including dendrites, the end of nerves.
Therefore, Option A is correct.
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What is the slope of each line?
Line A: y=-5x-2
Line B: Y=2x+ 3
O The slope of line A--5.
The slope of line B = 2.
O The slope of line A=-2.
The slope of line B = 3.
0. The slope of line A=5.
The slope of line B=-2
The slope of line A= 3.
The slope of line B=-2
The slope of line a is -5, the slope of line b is 2.
Step-by-step explanation:
Answer:
Line A: -5
Line B: 2
Step-by-step explanation:
Hello!
Slope-Intercept Form: [tex]y = mx + b[/tex]
y = outputx = inputm = slopeb = y-interceptLine A: y=-5x-2The slope of this is the "m" value, so that would mean it would be -5.
Line B: Y=2x+ 3The slope of this would be 2, as it is the "m" value in the equation.
A driver is currently at an elevation of -350 feet write an absolute value statement to express the drivers distance in feet from sea level then interpret the results written the context of the situation
Answer:
[tex]d = |h - 0\,ft|[/tex], The driver is 350 feet below sea level.
Step-by-step explanation:
The distance of the driver from the sea level is given by the following expression:
[tex]d = |h - 0\,ft|[/tex]
[tex]d = |-350\,ft-0\,ft|[/tex]
[tex]d = |-350\,ft|[/tex]
[tex]d = 350 \,ft[/tex]
The driver is 350 feet below sea level.
Answer:
Driver is 350 Below sea Level
Step-by-step explanation:
Driver has Elevation of -350 meters, negative indicates below sea level.
Therefore it can be inferred that the driver is 350 below sea level.
Circle O is inscribed in square EFGH.
The circumference of circle Ois 20 centimeters.
Which of the following is closest to the perimeter
of square EFGH?
A. 27 cm
B. 24cm
C. 28.5cm
D. 24.5cm
Answer:
D) 25.5 cm
Step-by-step explanation:
Circumference = pi × d
20 = 3.14 × d
d = 6.3694267516
Diameter = length of one side
Perimeter of the square = 4s
4(6.3694267516)
25.4777070064 cm
From the options, closest is 25.5
Laurel buys 3 balls of yarn. Each ball of yarn costs $4.75. She also buys 2 pairs of knitting needles. Each pair costs $5.75. She pays for her purchase with two 20-dollar bills.What is her change?
Answer:
Her change is $14.25
Step-by-step explanation:
To work this out you would first multiply 3 by 4.75, which comes to 14.25. This is because you are finding the total for the balls of yarn. Then you would multiply 5.75 by 2, which comes to 11.5. Then you would add 14.25 and 11.5, which comes to 25.75. This is because you are now working out how much the total for the purchase is. Then you would multiply 20 by 2, which comes to 40. Then you would minus 25.75 from 40, which comes to 14.25.
1) Multiply 3 by 4.75.
[tex]3*4.75=14.25[/tex]
2) Multiply 5.75 by 2.
[tex]5.75*2=11.5[/tex]
3) Add 14.25 to 11.5.
[tex]14.25+11.5=25.75[/tex]
4) Multiply 20 by 2.
[tex]20*2=40[/tex]
5) Minus 25.75 from 40.
[tex]40-25.75=$14.25[/tex]
Final answer:
To determine Laurel's change, multiply the quantity of each item by its price, add them together, and subtract this total from the amount paid with two 20-dollar bills. The change is $14.25.
Explanation:
The student is asking how to calculate the total cost of items purchased and the change due from a transaction. To find out Laurel's change, we need to multiply the number of each item by its price and then add those amounts together. Subsequently, we subtract the total cost from the amount Laurel pays with.
First, calculate the cost for the balls of yarn. There are 3 balls at $4.75 each:
3 balls times $4.75 per ball = $14.25
Now, calculate the cost for the pairs of knitting needles. There are 2 pairs at $5.75 each:
2 pairs times $5.75 per pair = $11.50
Add the cost of the yarn and knitting needles to get the total:
$14.25 (yarn) + $11.50 (needles) = $25.75
Laurel pays with two 20-dollar bills, which is $40.00 in total. Subtract the total purchase amount from this:
$40.00 - $25.75 = $14.25 change
A train covers a distance of 70 4/5 km in 1 hour. How much distance will it cover in 3 3/4 hours?
Answer:
the distance travelled in 3 3/4 hours is 37/8 km
Question 1
Create a triangle of your choice on the grid. Measure two of the angles on the triangle and the length of the side between the two angles. Record
the measurements in the table
Answer:
see attached
angles: 39.8°, 68.2°; side: 8
Step-by-step explanation:
The triangle and its measurements are shown in the attachment.
_____
If you do this with pencil and paper and protractor, likely your angle measurements will only be to the nearest degree.
You are planning to use PERT for planning of your project. A task has pessimistic estimate of 24 days, most likely estimate of 15 days and optimistic estimate of 12 days. What is the mean using the PERT technique?
a.18 days
b.25.5 days
c.15 days
d.16 days
Answer: d.16 days
Step-by-step explanation:
Hi, using PERT technique we can calculate the mean by applying the next formula:
Mean = (a + 4m + b)/6
Where:
a = optimistic time
m = most likely time
b = pessimistic time
Replacing with the values given:
Mean = (12 +4 (15) + 24)/6
Solving
m = (12+ 60+24)/6
m= 96/6
m = 16 days
Feel free to ask for more if needed or if you did not understand something.
4) A light is on the top of a 12 ft tall pole and a 5 ft 6 in tall person is walking away from the pole at a rate of 2 ft/sec. a. At what rate is the tip of the shadow moving away from the pole when the person is 25 ft from the pole? b. At what rate is the tip of the shadow moving away from the person when the person is 25 ft from the pole?
Final answer:
The rate at which the tip of the shadow is moving away from the pole when the person is 25 ft from the pole is 0 ft/sec. The rate at which the tip of the shadow is moving away from the person when the person is 25 ft from the pole is 0 ft/sec.
Explanation:
To solve for the rates at which the tip of the shadow is moving away from the pole and from the person, we can use similar triangles and related rates. Let's solve each part step by step:
a. Rate the tip of the shadow is moving away from the pole:
We have a right triangle formed by the pole, the person, and the tip of the shadow. Let x be the distance between the person and the tip of the shadow.
Since the person is moving away from the pole at a rate of 2 ft/sec, dx/dt = 2 ft/sec.
Using the similar triangles, we have:
(12 ft + 5.5 ft) / x = 12 ft / (x + 25 ft)
Simplifying the equation gives:
17.5x + 437.5 = 12x + 300
5.5x = 137.5
x = 25 ft
Now, let's differentiate both sides of the equation with respect to time t:
17.5 (dx/dt) = 12 (dx/dt) + 0
17.5 (dx/dt) - 12 (dx/dt) = 0
5.5 (dx/dt) = 0
dx/dt = 0 ft/sec
So, the rate at which the tip of the shadow is moving away from the pole when the person is 25 ft from the pole is 0 ft/sec.
b. Rate the tip of the shadow is moving away from the person:
Using the similar triangles, we have:
(12 ft + 5.5 ft) / x = 5.5 ft / 25 ft
Simplifying the equation gives:
17.5x = 137.5
x = 7.857 ft
Now, let's differentiate both sides of the equation with respect to time t:
17.5 (dx/dt) = 5.5 (dx/dt) + d(7.857)/dt
12 (dx/dt) = d(7.857)/dt
dx/dt = (d(7.857)/dt) / 12
dx/dt = (0 ft/sec) / 12
So, the rate at which the tip of the shadow is moving away from the person when the person is 25 ft from the pole is 0 ft/sec.
Nancy's Cupcakes recorded how many cupcakes it recently sold of each flavor.
chocolate cupcakes 2
pistachio cupcakes 1
banana cupcakes 5
pumpkin cupcakes 6
Considering this data, how many of the next 21 cupcakes sold would you expect to be pumpkin cupcakes?
A
9
B
7
C
6
D
3
Part B
What is probability of a chocolate cupcakes being sold?
Probability (chocolate cupcakes) =
%
Note: Write your answer as a percentage rounded to the nearest whole number.
Answer:
Part A; 9
Part B; 14%
Step-by-step explanation:
Part A;
Knowing that pumpkin cupcake = 6
Total = add all the cupcake which is 2+1+5+6 = 14
Cross multiply
[tex]\frac{6}{14}=\frac{x}{21}[/tex]
6*21 = 126
126/14 = 9
Hence, Next 21 cupcakes sold, 9 cupcake will be pumpkin cupcake
-------------------------------------------------------------------------------------------------------------
Part B;
The probability of a chocolate cupcake being sold would be equal to the amount of chocolate cupcakes divided by the total number of cupcakes.
= 2/(2+1+5+6)
= 2/14
= 1/7.
We convert 1/7 to a percent.
When rounded to the nearest whole percent, we get the probability as 14%.
[RevyBreeze]
In the next 21 cupcakes sold, we would expect approximately 9 to be pumpkin cupcakes based on the past data. The probability of a chocolate cupcake being sold, based on this data, is approximately 14%.
Explanation:The question is about predicting the expected number of pumpkin cupcakes sold based on past data and calculating the probability of a chocolate cupcake being sold.
Part A: In total, 2+1+5+6 = 14 cupcakes were sold. Out of these, 6 were pumpkin cupcakes which is approximately 43% of the total (6/14 = 0.43). If we project this percentage to the next 21 cupcakes, we would expect approximately 9 pumpkin cupcakes to be sold (0.43 * 21 = 9).
Part B: Out of the 14 cupcakes sold, 2 were chocolate. To find the probability of a chocolate cupcake being sold, you divide the number of chocolate cupcakes (2) by the total number of cupcakes (14) which is approximately 14%. So, the Probability (chocolate cupcakes) = 14 %.
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An ice cream shop sells 6 different flavors, 4 toppings, and 3 types of cones. How many different combinations of two different flavors, one topping, and one cone are possible?
144
120
432
360
not enough information
Answer:
360 combinations
Step-by-step explanation:
To calculate the number of different combinations of 2 different flavors, 1 topping, and 1 cone, we are going to use the rule of multiplication as:
6 * 5 * 4 * 3 = 360
1st flavor 2nd flavor topping cone
Because first, we have 6 possible options for the flavor, then we only have 5 possible options for the 2nd flavor. Then, we have 4 options for the topping and finally, we have 3 options for the cone.
It means that there are 360 different combinations of two different flavors, one topping, and one cone are possible
I need help asap :&$/)
!!PLEASE HELP!! Stuck on this and need some help. !!40PTS!!
A basketball player made 2 out of 4 free throws she attempted which is 50%. She wants to know how many consecutive free throws more in a row she would have to make to raise her overall successful baskets divided by attempts or percent of successful free throws to 75%.
(c) Write an equation to represent this situation.
(d) Solve the equation. How many consecutive free throws would she have to make to raise her percent to 75%?
(e) Simplify the expression . Show your work.
Answer:
(2 + x)/(4 + x) = 3/44 more throwsStep-by-step explanation:
2 out of 4 throws:
2/4 = 50%Let x more throws is made to achieve 75%
Then the equation would be:
(2 + x)/(4 + x) = 75%(2 + x)/(4 + x) = 3/44(2 + x) = 3(4 + x)4x + 8 = 3x + 124x - 3x = 12 - 8x = 4The spinner is divided into 8 equal sections.
A spinner is split into 8 sections labeled blue, brown, green, red, purple, brown, green, yellow.
What is the probability of spinning G, green?
One-fourth
StartFraction 3 over 8 EndFraction
One-half
Three-fourths
Answer:
3/8.
Step-by-step explanation:
You didn't give the graph but I just took that test and got it right.
Answer:
B 3/8
Step-by-step explanation:
Ok second time putting this up. CAN SOMEONE HELP?!
Answer:
18x^2 - 45x + 28 , ( r + 4 )( r + 3 )
Step-by-step explanation:
Heres your answers :)
Based on a poll of 100 citizens, a community action group claims that 38% of the population is in favor of the construction of a senior center using tax dollars. A business group claims that the poll is not valid and that 65% of the citizens favor the construction of the senior center using tax dollars. To determine whether this sample supports the population proportion of 0.38, a simulation of 100 trials is run, each with a sample size of 200 and a point estimate of 0.65. The minimum sample proportion from the simulation is 0.42, and the maximum sample proportion from the simulation is 0.72. The margin of error of the population proportion is found using an estimate of the standard deviation. What is the interval estimate of the true population proportion? (0.55,0.75) (0.28,0.48) (0.45,0.85) (0.18,0.58)
Answer:
(0.55, 0.75)
Step-by-step explanation:
The standard deviation and range are both used to measure the spread of a data set. The number of the range and standard deviation gives us information in its own way how spaced out the data are due to the fact that they are both a measure of variation. However, there is not an explicit relationship between the range and standard deviation, there is a rule of thumb that can be useful to relate these two statistics. This relationship is sometimes referred to as the range rule for standard deviation.
The range is estimated to be 6 standard deviations wide. Therefore, the standard deviation is:
Standard deviation= maximum sample proportion - minimum sample proportion / 6
σ = (0.72 - 0.42) / 6
σ = 0.05
The margin of error is defined as a statistic showing the amount of random sampling error in the result of a survey. The greater the margin of error, the lesser the confidence that a poll result would reflect the result of a survey of the entire population.
Here, the margin of error is ±2σ, so:
ME = ±0.10
Interval estimation in statistics is the use of sample data to compute an interval of possible values of an unknown population parameter. This is therefore in contrast to point estimation, which gives a single value.
Therefore, the interval estimate is:
(0.65 - 0.10, 0.65 + 0.10)
(0.55, 0.75)
DO YOU KNOW YOUR GOVERNMENT? According to a recent study by the Annenberg Foundation, only 36% of adults in the U.S. Could name all three branches of government. This was based on a survey given to a random sample of 1416 U.S. Adults.
Final answer:
A study by the Annenberg Foundation shows a stark lack of knowledge about the Legislative, Executive, and Judicial branches of the U.S. government. Educational resources can help improve public understanding of these branches, which are pivotal for civic engagement and democratic processes.
Explanation:
The Annenberg Foundation study highlights a concerning lack of knowledge among the U.S. adult population regarding the basic structure of their government. Despite the importance of understanding the three branches of the U.S. government, which include the Legislative, Executive, and Judicial branches, a majority of adults struggle to identify all three.
The Legislative branch is responsible for making laws and is embodied in Congress, which is divided into the House of Representatives and the Senate. The Executive branch, headed by the President, is tasked with implementing and executing the laws passed by Congress. The Judicial branch, represented by the Supreme Court and other federal courts, interprets the laws and adjudicates legal disputes under the law.
Understanding these branches and their functions is critical for civic engagement and informed participation in democratic processes. Educational resources such as videos, games, and government websites can help improve civic knowledge and awareness of the structure and roles of government.
What is the surface area of the cube below?
A. 147 units2
B. 508 units2
C. 254 units2
D. 294 units2
Answer:
The answer is D
Step-by-step explanation:
Surface Area is the outside part of a shape. Opposite of Volume
To find the area of one side its L x H
So 7 x 7 = 49
Since all the sides of the cube are the same you don't need to figure out the area of the other sides
so 49 x 6 sides = 294
Answer:
SA =294 units^2
Step-by-step explanation:
The surface area of a cube is found by the following
SA = 6 s^2 where s is the side length
SA = 6* 7^2
SA = 6*49
SA =294 units^2
. A random sample of 80 jars of grape jelly has a mean weight of 568 g, with a standard deviation of 48.28 g. Construct a 99% confidence interval for , the true weight of a jar of jelly.
Answer:
The 99% confidence interval is (553.7523, 582.2477)
Step-by-step explanation:
The formula for the confidence interval is
[tex]CI=\bar{x}\pm z\frac{s}{\sqrt{n}}[/tex]
Where:
s = Standard deviation
z = t[tex]_{df}[/tex] since the population variance is unknown
df = Degrees of freedom
n = Sample count
Which gives
[tex]568 \pm t_{79}(0.05\%) \frac{48.28}{\sqrt{80} }[/tex]
= 568 [tex]\pm[/tex] 2.64×5.4
(553.7523, 582.2477)
That is there is a 99% chance that the mean weight of a jar of jelly is
553.75 < μ < 582.25.
Which of the following best describes a function? Select all that apply.
the graphed line overlaps itself
every input has exactly one output
the graph of the relation passes the vertical line test
the graph of the relation is a straight line
Help plz
Final answer:
A function is characterized by having every input paired with exactly one output and by its graph passing the vertical line test. The graph being a straight line or overlapping itself are not definitive characteristics of a function.
Explanation:
The following statements best describe a function:
Every input has exactly one output: This means that for every x-value there is only one y-value associated with it in a function. This is a fundamental characteristic of a function.The graph of the relation passes the vertical line test: If a graph passes the vertical line test, it means that a vertical line drawn at any x-position on the graph touches the graph at no more than one point. This confirms that each value of x has a unique y-value.Not all functions have graphs that are straight lines, nor do their graphs necessarily overlap themselves. A graph can be a function even when it's not a straight line, and overlapping itself would violate the definition of a function where each input must have a unique output.