Answer:
45.9ft/s
Step-by-step explanation:
Simply plug your given value into the function
[tex]f(26)=9\sqrt{26} = 45.9 (1.d.p.)[/tex]
Factor each expression completely: [tex]3x^2-2xy-8y^2[/tex]
What is the equation of the line that passes through the point
(−3,5) and has a slope of -2?
Answer:
y = -2x-1
Step-by-step explanation:
y = -2x+b
5 = -2(-3)+b
5 = 6+b
-1 = b
Kim and Sam were each given the same pair of numbers. Sam's description of the two numbers was: The larger number is 3 more than three times the smaller number, . Kim's description of the two numbers was: Five times the smaller number decreased by 7 is the larger number. Which equation represents the situation?
Answer:
Sam's description = [tex]3x+3[/tex], Kim's description = [tex]5x-7[/tex]
Step-by-step explanation:
Given:
Kim and Sam were each given the same pair of numbers.
Sam's description of the two numbers was:
The larger number is 3 more than three times the smaller number.
Kim's description of the two numbers was:
Five times the smaller number decreased by 7 is the larger number.
Question asked:
Which equation represents the situation?
Solution:
Let smaller number = [tex]x[/tex]
According to Sam's description of the two numbers, the equation will be:-
Larger number = 3 more than three times the smaller number
= [tex]3x+3\ (eq1)[/tex]
According to Kim's description of the two numbers was, the equation will be:-
Larger number = Five times decreased by 7
= [tex]5x-7\ (eq2)[/tex]
By equating both equation:-
[tex]5x-7=3x+3\\ \\ Subtracting\ both\ sides\ by \ 3x\\ \\ 5x-3x-7=3x-3x+3\\ \\ 2x-7=3\\ \\ Adding\ both\ sides\ by\ 7\\ \\ 2x-7+7=3+7\\ \\ 2x=10\\ \\ Dividing\ both\ sides\ by\ 2\\ \\ x=5[/tex]
Smaller number = [tex]x[/tex] = 5
Larger number = [tex]3\times5+3=15+3=18[/tex]
Therefore, equations represents the situation are [tex]3x+3[/tex] and [tex]5x-7[/tex]
Write the equation in standard form for the circle with radius 9 centered at the origin. Sorry, incorrect... The correct answer is: Explanation review You answered: Learn with an example question Write the equation in standard form for the circle with radius 7 centered at the origin. key idea A circle is the set of points in a plane that are the same distance from a fixed point. The distance is the radius. The point is the center. The equation of a circle in standard form is (x–h)2+(y–k)2=r2. The center is (h,k). The radius is r. The origin is (0, 0). solution You are given the coordinates of the center and the radius, so plug them in. (x–h)2+(y–k)2 = r2 (x–0)2+(y–0)2 = 72 Plug in h=0, k=0, and r=7 x2+y2 = 49 Questions answered
Answer:
[tex]x^2+y^2=81[/tex]
Step-by-step explanation:
The standard form of the equation of a circle of radius r, with centre (h, k) is given as:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
We are required to write an equation in standard form for the circle with radius 9 centered at the origin.
Centre(h,k)=(0,0), r=9Substituting these values into the Standard form of the equation of a circle given above:
[tex](x-0)^2+(y-0)^2=9^2\\x^2+y^2=81[/tex]
The standard form is: [tex]x^2+y^2=81[/tex]
The equation of the circle whose center is at (0,0) and the radius is 7 is [tex]\rm x^2+y^2=49[/tex] and the equation of the circle whose center is at (0,0) and the radius is 9 is [tex]\rm x^2+y^2=81[/tex].
Given :
The circle with a radius 9 is centered at the origin.
The following steps can be used in order to determine the equation in standard form for the circle:
Step 1 - The generalized equation of the circle is given below:
[tex]\rm (x-h)^2+(y-k)^2=r^2[/tex] --- (1)
where (h,k) represents the coordinates of the center of the circle and r is the radius of the circle.
Step 2 - According to the given data, the center of the circle is at (0,0) and the radius of the circle is 9.
Step 3 - Substitute the values of all the known terms in equation (1) in order to determine the equation of the circle.
[tex]\rm x^2+y^2=81[/tex]
Step 4 - Now, the equation of the circle whose center is at (0,0) and the radius is 7 is given by:
[tex]\rm x^2+y^2=49[/tex]
For more information, refer to the link given below:
https://brainly.com/question/10165274
The diagonal of a rectangle is 25 in. The width is 15 inches. What is the length
Answer:
The length is 20 in
Step-by-step explanation:
Use Pythagorean Theorem to solve for the length
15^2 + b^2 = 25^2 Simplify
225 + b^2 = 625
-225 - 225 Subtract 225 from both sides
b^2 = 400 Take the square root of both sides
b = 20 in
If this answer is correct, please make me Brainliest!
Find the mean of these numbers:
4,2,5,6,3
Answer:
5
Step-by-step explanation:
4,2,5,6,3
cancel one on each side ou till you have 1 number left
Answer:
Mean: 4
Median: 4
Mode: 4, 2, 5, 6, 3
Minimum: 2
Maximum: 6
Range: 4
Count: 5
Sum: 20
Step-by-step explanation:
What is the sum of the interior angles of the polygon shown below?
Answer:
540
Step-by-step explanation:
5•180= 900
900 - 360 =540
Answer:
540 degrees
Step-by-step explanation:
Suppose that this year we select a random sample of 50 births. The conditions are not met for use of a normal model since the expected number of preterm births is only 6 (12% of 50). So we ran a simulation with p = 0.12. Suppose that the sample of 50 babies has 4 that are preterm. This is 8% of the sample. Do the data suggest that the percentage of preterm births in the U.S. is lower than 12% this year?
Answer: no
Step-by-step explanation: it is not lower than 12% this year because the Sam model was not used this year which can lead to variation in the calculation of data
Tell which set or sets the number below belongs to natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers.
614
Select all sets in which the number 614 is an element.
A. whole numbers
B. rational numbers
C. integers
D. irrational numbers
E natural numbers
F. real numbers
The number 614 belongs to the sets of natural numbers, whole numbers, integers, rational numbers, and real numbers. It does not belong to the set of irrational numbers.
Explanation:The number 614 belongs to multiple sets of numbers, including natural numbers, whole numbers, integers, rational numbers, and real numbers. It does not belong to the set of irrational numbers.
Natural Numbers: This set includes the positive integers starting from 1, so 614 is a natural number.Whole Numbers: This set includes all natural numbers plus zero. Since 614 is a positive integer and natural number, it is also a whole number.Integers: This set includes all whole numbers and their negatives. As 614 is a whole number, it is also an integer.Rational Numbers: This set consists of numbers that can be expressed as a fraction with integers in both the numerator and denominator, where the denominator is not zero. Since 614 can be expressed as 614/1, it is a rational number.Irrational Numbers: These numbers cannot be expressed as a simple fraction; 614 is not an irrational number since it can be expressed as a fraction.Real Numbers: This set includes all rational and irrational numbers. Because 614 is a rational number, it is also a real number.
The number 614 belongs to the sets: Whole Numbers, Rational Numbers, Integers, Natural Numbers, and Real Numbers.
A. Whole Numbers: Whole numbers include all natural numbers and zero. Since 614 is a positive integer, it is a whole number. So, A is correct.
B. Rational Numbers: Rational numbers include integers and fractions. Since 614 is an integer, it is also a rational number. So, B is correct.
C. Integers: Integers include all positive and negative whole numbers along with zero. Since 614 is a positive integer, it is an integer. So, C is correct.
D. Irrational Numbers: Irrational numbers are numbers that cannot be expressed as a fraction of two integers. Since 614 can be expressed as the fraction 614/1, it is not irrational. So, D is incorrect.
E. Natural Numbers: Natural numbers include all positive integers starting from 1. Since 614 is a positive integer, it is a natural number. So, E is correct.
F. Real Numbers: Real numbers include all rational and irrational numbers. Since 614 is a rational number, it is also a real number. So, F is correct.
In summary, the correct sets for the number 614 are A, B, C, E, and F.
Find the unit rate.
20 miles in 2 minutes = ___
miles per minute
Answer:
10 mpm
Step-by-step explanation:
20 / 2 = 10
Answer:
10 miles per 1 minute
Step-by-step explanation:
In 1987 Babe Ruth has a record setting season in which he hit 60 home runs for New York Yankees. If babe Ruth continues at the same rate how many home runs will he hit over the next 3 seasons?
Answer:
If he maintains the same rate he'll hit 180 home runs over the next three seasons.
Step-by-step explanation:
If he maintains the same rate of homeruns per season as he did in 1987 the number of home runs he'll hit over the next three seasons is the rate from 1987 multiplied by 3. We have:
number of home runs = 3*rate
number of home runs = 3*60
number of home runs = 180
If he maintains the same rate he'll hit 180 home runs over the next three seasons.
What is the range of the function represented by this graph?
Answer:
wheres the graph and it would be match easier if I can see it
Step-by-step explanation:
....
Answer:
where is the graph
Step-by-step explanation:
please give a image next time
Pls help me understand.
A students cost for last semester was $2,000. She spent $380 of that on books. What percent of last semesters cost was spent on books?
Answer:
19 %
Step-by-step explanation:
380 : 2000 = 0.19
0.19 X 100%= 19 %
Please help me idk this ?!?!?
Using the formula given in the question, we can solve for the area.
h = 10
b1 = 20
b2 = 8
Now, solve with the given values.
1/2(10)(20 + 8)
5(28)
140
Therefore, the area is 140 square feet.
Best of Luck!
In , the world's largest pumpkin weighed kilograms. An average-sized pumpkin weighs grams. The world-record pumpkin weighs blank kilograms more than an average-sized pumpkin. The solution is_______
Answer:
Complete question statement is;
n 2009, the worlds largest pumpkin weighed 1,725 kilograms. An average sized pumpkin weighs 5000 grams. The 2009 world record pumpkin weighs ___ kilograms more than the average sized pumpkin
Step-by-step explanation:
The answer to this is that world record pumpkin weighs 1720 kilograms more than the average sized pumpkin
In one kilogram, there are 1,000 grams i
so 5,000 grams means to be equivalent to 5 kilograms.
Now since we are in same metric units, we can now compare the largest weight and the average weight which would be;
= 1725 - 5
= 1720 kilograms
So the difference between largest weighed and average weighed pumpkin is 1720 kilograms
Final answer:
The world-record pumpkin weighs 13.5 kilograms more than an average-sized pumpkin, with the weight of the average pumpkin being 0.243 kilograms and the approximate world-record weight being 13.7 kilograms.
Explanation:
To solve how many kilograms more the world-record pumpkin weighs than an average-sized pumpkin, we need to calculate the difference in their weights. Given that an average-sized pumpkin weighs 243 grams, which is equivalent to 0.243 kilograms (since 1 kg = 1000 g), we need to know the weight of the world's largest pumpkin in kilograms.
We're given that the least precise measurement is 13.7 kg. Assuming that the world-record pumpkin weighs this amount, we subtract the mass of the average pumpkin (0.243 kg) from the world-record pumpkin mass (13.7 kg).
So the calculation is:
13.7 kg - 0.243 kg = 13.457 kg
To express our answer to the same precision as the least precise measurement, we round it to the tenths place. Therefore, the world-record pumpkin weighs 13.5 kilograms more than an average-sized pumpkin when rounded to the nearest tenth of a kilogram.
Jan is trying to increase her water intake to meet recommended guidelines. She currently consumes 2 (24 oz. each) bottles of water per day, and 2 cups (8 oz. each) of low-fat milk. Assuming that she will obtain 15% of her fluid needs from foods, how many cups of water does she still need to drink?
Answer:
Extra 4 cups to make up 11 cups a day
Step-by-step explanation:
Here we have that Jan obtains 15% of her fluid needs from food, therefore, she gets the remaining 85 % from drinking water
If the recommended daily intake = 2.7 liters or 91.3 oz
And she already consumes 48 oz of water and 16 oz of milk
Note milk is equivalent to 0.87 water therefore total intake = 48 + 16*0.87= 61.92 oz
She needs to take additional (91.3 - 61.92) = 29.4 oz or 3.68 ≈ 4 cups extra to meet her recommended daily dosage.
The intensity I of light varies inversely as the square of the distance D from the source. If the intensity of illumination on a screen 56 ft from a light is 2.7 foot-candles, find the intensity on a screen 70 ft from the light.
Answer:
The intensity on a screen 70 ft from the light is 1.728 foot candle.
Step-by-step explanation:
Given that,
The magnitude of intensity [tex]I[/tex] of light varies inversely as the square of the magnitude of distance D from the source.
That is
[tex]I\propto \frac{1}{D^2}[/tex]
Then,
[tex]\frac{I_1}{I_2}=\frac{D_2^2}{D_1^2}[/tex]
Given that,
The magnitude of intensity of illumination on a screen 56 ft from a light is 2.7 foot-candle.
Here,
[tex]I_1[/tex]=2.7 foot-candle, [tex]D_1[/tex]= 56 ft
[tex]I_2[/tex]=?, [tex]D_2[/tex]= 70 ft.
[tex]\frac{I_1}{I_2}=\frac{D_2^2}{D_1^2}[/tex]
[tex]\Rightarrow \frac{2.7}{I_2}=\frac{70^2}{56^2}[/tex]
[tex]\Rightarrow \frac{I_2}{2.7}=\frac{56^2}{70^2}[/tex]
[tex]\Rightarrow {I_2}=\frac{56^2\times 2.7}{70^2}[/tex]
[tex]\Rightarrow {I_2}=1.728[/tex] foot-candle
The intensity on a screen 70 ft from the light is 1.728 foot candle.
Every morning, my neighbor goes out walking. I observe that 20% of the time she walks with her beagle, 70% of the time she walks with her golden retriever, and 30% of the time she walks alone. If these events are all disjoint, is this an example of a valid probability distribution?
Answer:
No, This is not a valid Probability Distribution
Step-by-step explanation:
Probability [Neighbour walks with Beagle] = 20%
Probability [Neighbour walks with Golden Retriever] = 70%
Probability [Neighbour walks alone] = 30%
Disjoint Events are the events that have zero probability of occurring together. If all the three above items are disjoint, it means that it can never happen that two of them happen together.
The total (summed) probability of a valid probability distribution, with disjoint sets = 1 . In given case, total probability = 0.2 + 0.7 + 0.3 = 1.2 ; i.e > 1.
So, this probability distribution with stated disjoint events is not a Valid Probability distribution.
Final answer:
The given percentages (20% with the beagle, 70% with the golden retriever, 30% walking alone) add up to 120%, which exceeds the total probability of 100%. Thus, they do not constitute a valid probability distribution.
Explanation:
The situation described about the neighbor walking with her pets and alone presents individual probabilities of different events. If these events are indeed disjoint, meaning they cannot happen at the same time, then to determine if the given percentages represent a valid probability distribution, they must satisfy two main conditions: the sum of all probabilities must be equal to one (100%), and each individual probability must be between 0 and 1 inclusive.
Calculating the sum of the given probabilities: 20% (for walking with the beagle) + 70% (for walking with the golden retriever) + 30% (for walking alone) equals 120%, which exceeds 100%. This indicates that the given percentages do not contain a valid probability distribution because they do not sum to one, violating one of the fundamental characteristics of a probability distribution.
IF SOMEONE ANSWERS WITHIN 5 MINUTES THEY WILL GET BRAINLIEST ANSWER
Among a group of 86 investors, 23 owned shares of Stock A, 33 owned shares of Stock B, 44 owned shares of Stock C, 11 owned shares of both Stock A and Stock B, 10 owned shares of Stock A and Stock C, 17 owned shares of Stock B and Stock C, and 7 owned shares of all three. How many investors did not have shares in any of the three? How many owned shares of either Stock A or Stock C but not Stock B?
A. 24,33
B. 17,36
C. 17,33
D. 17,40
Answer:
A
Step-by-step explanation:
Hi!
This one's a bit hard to explain! IF you want explanation, just comment.
Using the data given, we can conclude that [tex]\boxed{A}[/tex] is the correct answer.
Hope this helps!
Troy is helping his mom make a fence for their rectangular vegetable garden. First, they measure the sides and find that it is 20 feet long and 40 feet wide. Then, they buy fencing from the hardware store. If the store sells fencing in 4-yard packages, how many packages do Troy and his mom need?
Answer:
10 Packages
Step-by-step explanation:
The rectangular vegetable garden has a dimension of Length 20 feet and Width 40 feet.
Perimeter of a Rectangle=2(L+W)
=2(20+40)=2(60)=120 feet
Since the store sells fencing in 4-yard packages, let us convert our perimeter to Yards.
1 Yard= 3 Foot
x Yard =120 Feet
Cross Multiply
3x=120
x=40 Yards
The Perimeter =40 Yards
Therefore the number of Packages which Troy and his Mom needs:
Perimeter of the Garden÷Length Per Package
=40÷4
=10 Packages
Troy and his mom would need 20 Packages of Fencing.
To be able to conclude, we conver
The value for √10 is approximately between 3 and 4. Approximate further to find the values to the tenths place that √10 is between.
a less-than StartRoot 10 EndRoot less-than b
a =
b =
Answer:
a = 3.1
b = 3.2
Step-by-step explanation:
I did the quiz
Answer:
a =
✔ 3.1
b =
✔ 3.2
Step-by-step explanation:
What’s the distributive property of -5(1 - 2n)=-85
Answer:
-5 + 10n = -85
10n = -80
n = -8
Answer:
= -8
Step-by-step explanation:
-5(1 - 2n)=-85
(-5(1)) + (-5(-2n)) = -85
-5 + 10n = -85
10n = -85 + 5
10n = -80
n = -80/10
n = -8
Suppose Mr. Kraus is 1.75m tall. When her shadow is 1m, how long would the shadow be of a 265m tall building?
Answer:
151.43 meters
Step-by-step explanation:
We can use ratios to solve
1.75m 265m
--------------- = -----------
1 m x meters
Using cross products
1.75x = 265*1
Divide each side by 1.75
1.75x/1.75 = 265/1.75
x =151.4285714
151.43 meters
Answer:
151.429m
Step-by-step explanation:
This is a proportion problem.
1.75m/1m = 265m/ Xm
1.75m= 265m/ Xm
Xm = 265m/1.75m = 151.429m
Find the y-intercept for the parabola defined by
this equation:
y=x² + 8x + 12
Separate the values with a comma.
Enter the correct answer.
Answer:
y-intercepts (0,-12)
Step-by-step explanation:
Two number cubes each have sides that are labeled 1 to 6. Iris rolls the 2 number cubes. What is the probability that the sum of the numbers on the number cubes will equal 4?
1/36
1/18
1/6
1/12
Given:
Two cubes are rolled together.
To find the probability that the sum of the numbers on the number cubes will equal 4.
Formula
P(A) = [tex]\frac{x}{y}[/tex]
where, A be any event.
x be the number of successful outcomes
y be the total number of outcomes
Now,
If the two cubes are rolled together, total number of outcomes = 36
In total outcomes, the sum of the numbers of cube will be 4 for (1,3),(3,1) and (2,2)
So, the number of successful outcomes = 3
Now,
Putting x=3 and y = 36 we get,
[tex]P(A) = \frac{3}{36}[/tex]
or, [tex]P(A) = \frac{1}{12}[/tex]
Hence,
The probability that the sum of the numbers on the number cubes will equal 4 is [tex]\frac{1}{12}[/tex]. Option D.
Jamal(j) and Mackenzie (m) are brother & sister. Jamal(j) is 4 years older than Mackenzie(m). If Jamal (j)is 16 years old, write & solve an equation to find Mackenzie’s (m) age. Please use the letters to set up & help solve your problem. Must see work.
WILL GIVE BRAINLIEST TO THE 2 PERSON
Answer:
12 years old
Step-by-step explanation:
16 = m+4
-4 -4
12 = m
Answer:
12 years
Step-by-step explanation:
j = m + 4
j = 16
16 = m + 4
m = 16 - 4
m = 12
A student said that the surface area of the figure below was 57.4 square centimeters. Is the student correct? Explain.
Answer:
no
Step-by-step explanation:
The surface area is the sum of the areas of the faces.
There are 4 faces that are 5 cm wide. Their respective heights (from front, over the top) are ...
1 cm, 2.5 cm, 2 cm, 2.3 cm
for a total height of 7.8 cm. Thus, those 4 faces have a total area of ...
(5 cm)(7.8 cm) = 39.0 cm^2
__
The two trapezoidal faces each have bases of length 1 and 2 cm, and a "height" of 2.3 cm. Together, their areas are ...
A = 2×(1/2)(b1 +b2)h = (b1 +b2)h
A = (1 cm +2 cm)(2.3 cm) = 6.9 cm^2
__
The surface area of the entire trapezoidal prism is then ...
total area = base area + lateral area = 6.9 cm^2 +39 cm^2
total area = 45.9 cm^2
The student's answer of 57.4 cm^2 is not correct. (We don't know where that calculation came from.)
What does a a isolate variable mean?
Answer:
Isolating a variable means rearranging an algebraic equation so that a different variable is on its own. The goal is to choose a sequence of operations that will leave the variable of interest on one side and put all other terms on the other side of the equal sign.
Step-by-step explanation:
5(1-2x)+8x=15 what the equations
Answer:
x = -5
Step-by-step explanation:
You're asking for the solution? the x value that makes the equation true?
First perform the multiplication: 5 - 10x + 8x = 15
Combining like terms, we get -10 = 2x.
Dividing both sides by 2 yields x = -5.
ninety people in a store were asked whether they liked jeans or khakis and whether they liked t shirts or tank tops out of 25 people that liked khakis 15 liked t shirts there were 55 customers that liked t shirts construct a two way table summarizing the data
Answer:
See the attached figure.
Step-by-step explanation:
Total people = 90
The people that liked khakis = 25
The people that liked t shirts = 55
out of 25 people that liked khakis 15 liked t shirts
See the attached figure, the table on the left represents the given data
While the table on the right represent the table after finding the unknowns.
So,
The people that liked tank tops = V = 90 - 55 = 35
People that liked tank tops out of 25 people that liked khakis=Z=25-15=10
The people that liked jeans = W = 90 - 25 = 65
And X = 55 - 15 = 40
And Y = W - X = 65 - 40 = 25
So, the table on the right is the two way table summarizing the data.