The answer is 5500 meters.
i.e. 5500 meters is shorter than 6 km.
What is measurement?Measurement is the quantification of attributes of an object or event, which can be used to compare with other objects or events. In other words, measurement is a process of determining how large or small a physical quantity is as compared to a basic reference quantity of the same kind.
Here, we have,
6 kilometers=6000m.
because, 1 kilometer=1000 meters
6000>5500
Hence, 5500 meters is shorter than 6 km.
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Find the length of the unknown side round your answer to the nearest 10th
Answer:
A. 20
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^{2}[/tex]
Plug in the numbers
[tex]15^{2} + b^{2} = 25^{2}[/tex]
Simplify the equation
225 + b = 625
Subtract both sides by 225
625 - 225 = 400
Your equation should look like
b = 400
Because you squared it, now you have to get it back to the formula you started with first. To do this, just find the square root.
The square root of 400 is 20
[tex]15^{2}+ 20^{2} =25^{2}[/tex]
In ΔEFG, the measure of ∠G=90°, the measure of ∠E=40°, and EF = 75 feet. Find the length of GE to the nearest tenth of a foot.
Answer:
57.453 ft
Step-by-step explanation:
Glad to help ! :)
Answer:
the answer is 57.5
A student said the volume of a cylinder with a 7-inch diameter is two times the volume of a cylinder with
the same height and a 3.5-inch radius. What is the error?
Answer:
When you find the volume of the cylinder you square instead which isn't equal to multiplying so the answer will be more then doubled.
Step-by-step explanation:
Answer:
The volume of the first is not 2 * volume of the second. They both have the same volume.
Step-by-step explanation:
The 2 cylinders described are identical. The diameter = 2 times the radius, so the radius of the first cylinder = 1/2 * 7 = 3.5 in, which is the same as the radius of the second one. Also the heights are the same so the volumes are the same too.
debbie is making bows that use 1/6 yards of ribbion each, if debbie has 2 yards of ribbion, how many bows can she make? write a division equation and multipcation equation to show this
Debbie can make 12 bows from 2 yards of ribbon, as shown by the division equation (2 ÷ 1/6 = 12) and confirmed by the multiplication equation (12 × 1/6 = 2).
Explanation:The student is asking about division and multiplication of fractions in the context of making bows from a length of ribbon. To determine how many bows Debbie can make with 2 yards of ribbon, when each bow requires 1/6 yard, we formulate a division equation and a multiplication equation.
The division equation is:
Number of bows = Total yards of ribbon ÷ Yards of ribbon per bow
Number of bows = 2 yards ÷ 1/6 yard
The multiplication equation is the inverse of the division equation, which helps us to check our work:
X bows × 1/6 yard per bow = 2 yards (X represents the number of bows)
By solving the division equation:
Number of bows = 2 yards × (6/1 bows)
Number of bows = 12 bows
So, Debbie can make 12 bows from 2 yards of ribbon. The multiplication equation confirms this since 12 bows × 1/6 yard equals 2 yards.
Solve the logarithmic equation for x.
2 log x = log 2 + log(3x - 4)
x= [
(smaller value)
X
=
(larger value)
Answer:
x = 2 or x = 4
Step-by-step explanation:
Solve: 2 log x = log 2 + log(3x - 4)
log (x^2) = log 2 + log (3x - 4)
log (x^2) = log [2*(3x - 4)]
x^2 = 2*(3x - 4)
x^2 = 6x - 8
x^2 - 6x + 8 = 0
factor:
(x - 2 )(x - 4) = 0
x = 2 or x = 4
A granola recipe calls for 3/4 of a cup of peanuts and 2/3 of cup raisins. How many cups of raisins should be used for every one cup of peanuts? A. 1/2 B.8/9 C. 1 1/4 D. 2 cups please help! This is kinda urgent ;w;
Answer:
8/9
Step-by-step explanation:
It has to be bigger than 2/3 which is equivalent to 6/9.It cannot be a half which is too less.1 or above is too much.B. is just right.
Una empresa desea contratar 3 nuevos
empleados, pero hay 8 candidatos, 6 de los
cuales son hombres y 2 son mujeres. Si la
seleccion es al azar:
a) 2De cuántas maneras diferentes se pueden
elegir los nuevos empleados?
b) De cuántas maneras distintas se puede
elegir a un solo candidato hombre?
c) De cuántas maneras distintas se puede
elegir por lo menos a un candidato horribre?
Rptas a)56 b)6 c)56
Answer:
A company wants to select 3 new employees.
We have 8 candidates, 6 males, and 2 females.
1) What is the number of combinations in which the new employees can be selected?
We have 3 positions.
For the first position, we have 8 options.
For the second position, we have 7 options, because we already selected one.
For the third position, we have 6 options, because we already selected two.
The number of different combinations is (8*7*6)/(3*2*1) = 56
The division by 3*2*1 is because if we no divide by this, we are counting multiple times the same combination of employees, but they are contracted in different orders.
2) How many ways you can select only one male?
In this case, we have 3 positions, two of those positions must be for the 2 women, so in the other position, we can select only one male.
We have 6 different males for that position, so we have only 6 combinations in this case.
3) In how many ways we can select at least one male?
Previously found that we have 56 combinations in total.
We only have 2 women and 3 positions, so in all of these combinations, we have at least one male. So there are 56 combinations with at least one male.
The number of combinations in which these 3 new employees can be selected is equal to 56.
Given the following data:
Number of candidates = 8 candidates.Number of males = 6 males.Number of females = 2 females.Number of employees = 3 new employees.How to find the number of combinations?Since the company needs 3 employees, it simply means there are 3 vacant positions. Thus, the number of combinations in which these 3 new employees can be selected is given by:
_nC_r = \frac{n!}{r!(n-r)!}
Combination(n, k) = n!/(r!(n - r)!)
Combination(8, 3) = 8!/(3!(8 - 3)!)
Combination(8, 3) = 8!/(3!(5)!)
Combination = (8 × 7 × 6)/(3 × 2 × 1)
Combination = 336/6
Combination = 56.
How many ways can a single male be selected?Two (2) of the 3 vacant positions must be taken by 2 women, so we can only select one male. Thus, the number of ways is given by:
Number of ways = 6 × 1
Number of ways = 6.
In how many different ways can at least one male candidate be chosen?Choosing 1 male = 6 ways
Choosing 2 males = two males from 6 males and 1 male from two females.
Comb(6, 2) × 2 = 6!/(2!(6 - 2)!) × 2
Comb(6, 2) × 2 = 6!/(2!(4)!) × 2
Comb(6, 2) × 2 = 15 × 2
Comb(6, 2) × 2 = 30 males.
Choosing 3 males = three males from 6 males;
Comb(6, 3) = 6!/(3!(6 - 3)!)
Comb(6, 3) = 6!/(3!(3)!)
Comb(6, 3) = 20 males.
Total combination = 6 + 30 + 20
Total combination = 56.
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Match the terms to their definition.
parallel lines
function
independent variable
1. a mathematical sentence whose verb is 'equal' E)
a relation in which each first coordinate is paired with exactly
one second coordinate
3. an equation that is true for all values of the variable
the variable representing the first elements of the ordered
pairs in a function; the inputs
an open sentence whose graph is a line; the general form for
such an equation is Ax + By + C = 0
6. an equation containing more than one variable
identity
equation
literal equation
7. lines that never intersect
linear equation
Need the answer ASAP!!
Answer:
parellel lines = 7
function = 3
independent variable = 6
What is the image point of ( 1 , 2 )after a translation right 5 units and up 3 units?
Answer:
Step-by-step explanation: 6,5
Answer:
6, 5
Step-by-step explanation:
1+5=6 It moves to the right so it's addition
2+3=5 It moves up so it's addition
Taylor tried to solve an equation step by step.
7(y + 4.5) = 32.5
7y + 4.5 = 32.5 step 1
7y = 28 step 2
y=4 step 3
Find Taylor's mistake.
Choose 1 answer:
A: step 1
B: step 2
C: step 3
D: Taylor did not make a mistake.
Answer: step 1
Step-by-step explanation:
a baseball league finds the speeds of pitches are normally distributed, with a mean of 89 mph and a standard deviation of 2.4 mph. One pitch is thrown at a speed of 85.2 mph. What is the z-score of this pitch? Round your answer to two decimal places.
Answer:
-1.58
Step-by-step explanation:
We have that the mean (m) is equal to 89 and the standard deviation (sd) 2.4
They ask us for P (x <85.2)
For this, the first thing is to calculate z, which is given by the following equation:
z = (x - m) / (sd)
We have all these values, replacing we have:
z = (85.2 - 89) / (2.4)
z = -1.58
Which equation and solution can be used to solve this problem? Twenty-two less than a number is twenty-four. q + 22 = 24: Subtract 22 from both sides. The answer is 2. 24 + q = 22: Subtract 22 from both sides. The answer is 2. q minus 24 = 22: Add 24 to both sides. The answer is 46. q minus 22 = 24: Add 22 to both sides. The answer is 46.
Answer:
D. q minus 22 = 24: Add 22 to both sides. The answer is 46.
Step-by-step explanation:
From the list of options, one would notice that the number is represented with letter q.
So, we'll analyse the question base on the assumption that the number is represented with letter q.
The statement "Twenty-two less than a number is twenty-four".
First, this statement can be splitted into two.
"Twenty-two less than a number" and "is twenty-four."
Taking them one after the other.
"Twenty-two less than a number" as it is means; q - 22
Then we have "is twenty-four."
is represents =
twenty-four = 24
This gives "= 24"
Bringing the two expressions together;
q - 22 = 24
To get the value of q; simply add 22 to both sides
q - 22 + 22 = 24 + 22
q = 46
Hence, option D is correct.
Answer:
ITS D
Step-by-step explanation:
how many gallons of a 15% sugar solution must be mixed with 5 gallons of a 40% sugar solution to make a 30% sugar solution
To find the number of gallons of a 15% sugar solution needed to mix with a 40% sugar solution to make a 30% sugar solution, set up an equation.
Explanation:In order to solve this problem, we can set up an equation based on the given information.
Let's say we need to mix 'x' gallons of the 15% sugar solution with the 5 gallons of the 40% sugar solution to get a 30% sugar solution.
The equation would be: 0.15x + 0.40(5) = 0.30(x + 5).
Solving this equation will give us the value of 'x', which represents the gallons of the 15% sugar solution needed.
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I need help please it gives a hint I don’t get it
Answer:
Lower quartile: 72
Upper quartile: 84
Step-by-step explanation:
Follow the instructions in the hint to solve the problem.
First, divide the data set into halves:
70, 70, 72, 75, 79
80, 80, 84, 89, 95
Now, find the median of the two sets. The median of set #1 is 72, as that is the number in the middle of the data.
The median of set #2 is 84 for the same reason.
Upper and lower quartiles are just different words for upper and lower medians. The upper quartile is the higher number, and the lower quartile is the lower number.
what is (f • g)(x)
f(x) = x^4 — 9
g(x) = x^3 + 9
Answer:
x^12 + 9x^4 - 9x^3 - 18
Step-by-step explanation:
When there is a circled in black dot in the middle of f and g, then it means to multiply. Using the distributive property and the FOIL method, the answer should be x^12 + 9x^4 - 9x^3 - 18.
Whitney walks from her house to school, a distance of 1 mi. It takes her 14 min. How long will it take Whitney to walk home from school if, on her way, she walks at a rate of 1 mi/7 min?
Answer:
7 minutes
Step-by-step explanation:
If Whitney walks 1 mile at a rate of 1 mile every 7 minutes, then it would take her 7 minutes to walk home from school.
Paul has £7.80 pocket money each week.
He always saves 1/3 of it.
With the remaining money he spends on
comics and the rest on sweets.
(i) How much does he save?
(ii) How much is spent on comics?
(iii) How much does he spend on sweets?
Answer:
i) $2.60 is money he saves each week
ii( iii) $5.20 to spend on comics and sweets.
You need more info to determine how he spends his money thereafter.
Lets say x = sweets and y = comics.
and lets say he spends under 1/3 on sweets
2(1 1/5x + 1 1/2y) = xy
2 2/5x + 3y = xy
xy = 5 2/5
Step-by-step explanation:
i) 7.80 /3 = 2.60 = $2.60
ii) 7.80-2.6 = 5.20 = $5.20
iii) algebra example or refer to question for more info not shown.
Paul saves a portion of his pocket money which is £2.60 and spends the rest on comics and sweets.
(i) How much does he save?
Paul saves £2.60 each week, which is 1/3 of his pocket money.
(ii) How much is spent on comics?
Paul spends £2.60 on comics, as it is the remaining amount after saving.
(iii) How much does he spend on sweets?
Paul spends the rest of his pocket money, £2.60, on sweets.
Divide.
1/7 ÷ 6
Enter your answer as a fraction in simplest form by filling in the boxes.
Answer:
1/42
Step-by-step explanation:
You can use a calculator and input the equation.
Answer:
1/42
Step-by-step explanation:
1/7 divided by 6= 1/7 multiplied by 1/6. We get 1/6th because we have to flip 6/1 around, 1/6 times 1/7 =1/42
Bethany used the steps below in an attempt to solve for angle B in triangle ABC.
4.1 cm
2.7 cm
4.5 cm
[Not drawn to scale]
4.12 - 4.52+2.72 -2(4.5)(2.7)cos B
4.1=4.5+2.7-24.3cos B
-3.1--24 3cOSB
0.1276= COS B
Final answer:
To solve for angle B in triangle ABC, you can use the Law of Cosines. Rearrange the equation to isolate the cosine of angle B and then take the inverse cosine to find the value of angle B. The value of angle B is approximately 99.99 degrees.
Explanation:
To solve for angle B in triangle ABC, you can use the Law of Cosines. The Law of Cosines states that the square of one side of a triangle is equal to the sum of the squares of the other two sides minus twice the product of the other two sides and the cosine of the angle between them.
In this case, you are given the lengths of sides AB, BC, and AC as 4.1 cm, 2.7 cm, and 4.5 cm respectively. You are also given the equation 4.1 = 4.5 + 2.7 - 24.3cos B. To solve for angle B, you can rearrange the equation to isolate the cosine of angle B and then take the inverse cosine to find the value of angle B.
Let's go step-by-step:
Start with the equation 4.1 = 4.5 + 2.7 - 24.3cos B
Subtract 4.5 and 2.7 from both sides: 4.1 - 4.5 - 2.7 = -3.1 - 24.3cos B
Combine like terms: -3.1 - 24.3cos B = -7.1
Add 7.1 to both sides: -3.1 - 24.3cos B + 7.1 = -7.1 + 7.1
Simplify: -3.1 + 7.1 - 24.3cos B = 0
Subtract -3.1 + 7.1 from both sides: -3.1 + 7.1 - 3.1 + 7.1 - 24.3cos B = -3.1 + 7.1
Simplify: -24.3cos B = 4.0
Divide both sides by -24.3 to isolate cos B: (-24.3cos B) / -24.3 = 4.0 / -24.3
Simplify: cos B = -0.1645
Take the inverse cosine of -0.1645 to find the value of angle B: B = cos-1(-0.1645)
Using a calculator, you can find that angle B is approximately 99.99 degrees.
A school conducted a survey to determine which sport was the students’ favorite. The school asked every seventh grade student for his or her favorite sport. Were the results of the school's survey valid?
A.
Yes, because every student in the seventh grade was surveyed.
B.
No, because the sample was not random.
C.
Yes, because the school surveyed every seventh student that entered the school.
D.
No, because only girls were surveyed.
Answer:
B. No, because the sample was not random.
Step-by-step explanation:
The survey asks to find the favourite sport of the school's students. Not just the school's seventh graders. The seventh graders do not make up a random sample of the student body, and therefore the results of this survey are invalid.
Let's look at the answers:
A - No. We've already discussed why sampling just the seventh graders is wrong.
B - Yes. The entire seventh grade is not a random sample of the entire school and do not yield a valid response.
C - No. The school surveyed every seventh grader, not every seventh student. This is a play on words.
D - No. Every student in the seventh grade was sampled, not just girls.
The length of a rectangular prism is 5 more than twice the width w. The volume of the prism is 2w^3+13w^2+20w. What is a simplified expression for the height of the prism?
Answer:
w + 4
Hope the picture helps
useable energy is lost each time energy is converted to another form of energy, true or false?
Answer:True, becuase every time energy is converted to another form, is some of it is bled off and it made unusable.
Step-by-step explanation:
What is the measure of θ in radians?
Enter an exact expression.
In the diagram, θ is a central angle.
Answer:
pi
Step-by-step explanation:
Theta is 1/2 of a circle
A circle is 360 degrees or 2pi radians
Take 1/2 of that for a semi circle
180 degrees or pi radians
Answer:
pi
Step-by-step explanation:
Arc length = r × theta
8pi = 8 × theta
theta = 8pi/8
= pi radians
SOLVE FOR X: (75 PTS)
x^2 - x - 20
Select the solutions to the problem. ONLY SELECT TWO ANSWERS. If you select more than two, your answer will be counted as wrong. *
0 points
-7
-6
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
7
Answer:
The value of x is -4 and 5.
Step by step explanation:
First, you have to let the expressions equals to 0 and elaborate the equation :
[tex] {x}^{2} - x - 20 = 0[/tex]
[tex] {x}^{2} + 4x - 5x - 20 = 0[/tex]
Next you have to factorize by taking out the like-terms :
[tex]x(x + 4) - 5(x + 4) = 0[/tex]
[tex](x - 5)(x + 4) = 0[/tex]
Lastly, you can solve it :
[tex]x - 5 = 0[/tex]
[tex]x = 5[/tex]
[tex]x + 4 = 0[/tex]
[tex]x = - 4[/tex]
Answer:
-4 and 5
Step-by-step explanation:
When solving quadratic equations it's important to remember that they have 2 solution. We need to work out the factors, sum and the products to successfully factorise the quadratic and solve it. So,
x² - x - 20 = 0
Sum = -1
Product = -20
So we need two number that sum to -1 and multiply together to make -20
Factors = -5 and 4
x² - 5x + 4x - 20
Factor x² - 5x and 4x -20 separately
x² - 5x = x ( x - 5 )
4x - 20 = 4 ( x - 5 )
So
x ( x - 5 ) + 4 ( x - 5 )
We can see a common factor of ( x - 5 ) and the other bracket would be ( x + 4).
( x - 5 ) ( x + 4 )
But the question asks us for the solution so
x - 5 = 0
x = 5
x + 4 = 0
x = -4
I have 3 digits. If I round to the nearest hundred, I am 200. Multiply my ones digit by 2 and you get my tens digit. Both my ones and tens digits are even.
Answer:
the answer is 393
Step-by-step explanation:
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can i please get brainliest
What is the volume of the composite figure ?
Answer:
Volume Area 1 - Long Rectangle = 8 x 4 x 2 =64
Volume smaller Rectange = 2 x 2 x 3 = 12
Total Volume = 64 + 12 = 76 cubic inches
Step-by-step explanation:
Answer:
68
Step-by-step explanation:
What is the product? 3 a (8 a minus 6 b) 24 a squared minus 6 b 24 a squared minus 6 a b 24 a squared minus 18 b squared 24 a squared minus 18 a b
The solution to the algebraic expression using the product rule is 24a squared minus 18ab
Calculating algebra with product rule.The calculation of algebraic expression using the product rule implies that we multiplied similar variables together.
Given that:
3a (8a minus 6b)
= 3a(8a - 6b)
We cannot subtract the expression in the brackets because they are not of the same variable.
So, by opening the brackets, we have:
=24a² - 18ab
= 24a squared minus 18ab
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How would you describe Earth's layers to someone else? *
Your answer
Answer:
there are 4 layers
mantle
core
outer core
inner core
Step-by-step explanation:
mantle- mostly solid bulk of earths interior
core- very hot, very dense center of our planet
outer core- fluid layer composed of mostly iron and nickel that lies above earths solid inner core and below its mantle
inner core- earths inner core is the innermost geologic layer of the earth
Geri built a pencil box in the shape of a right rectangular prism. The amount of space inside of the box is 176 cubic inches
What is the height of Geri's pencil box?
2 inches
4 inches
8 inches
9 inches
Answer:2 inches
Step-by-step explanation:
8*11=88
176/88=2
Check answer: 2*8*11
Answer:
A) 2 inches
I took the test, picture for proof
Step-by-step explanation:
two dice are rolled. Find the probability that the sum is 9 or doubles are rolled
The probability for the sum of two dice to be 9 is 1/9, and the probability for rolling doubles is 1/6. These two events are mutually exclusive; hence their combined probability is the sum of the individual probabilities, which is 5/18.
Explanation:The probability that the sum of two rolled dice is 9 can be calculated by identifying all possible combinations that result in a sum of 9. There are four such combinations: (3,6), (4,5), (5,4), (6,3). The probability of any one specific outcome when rolling two dice is 1/36, thus the probability of the sum being 9 is 4/36 or simplified, 1/9.
To find the probability of rolling doubles, we identify all the combinations where both dice show the same number. There are six possibilities: (1,1), (2,2), (3,3), (4,4), (5,5), (6,6), so the probability of rolling doubles is 6/36 or simplified, 1/6. These two events are mutually exclusive; thus, the total probability is found by adding the two probabilities: 1/9 + 1/6 = 2/18 + 3/18 = 5/18.