Answer:
92%
Step-by-step explanation:
This is because all you have to do to turn a decimal into percentage is to move the decimal over 2 spots, and drop the Zero.
how many factors of 10 are in 10³
Answer:
16
Step-by-step explanation:
1,2,4,5,8,10,20,25,40,50,100,125,200,250,500,1000
Pick the expression that matches this description:
A trinomial with a leading coefficient of 3 and a constant term of -5
Choose 1 answer:
(Choice A)
3m^2-5
(Choice B)
3m^2-5m+1
(Choice C)
-5m^2+4m+3
(Choice D)
3m^2+m-5
Answer:
D. [tex]3m^2+m-5[/tex]
Step-by-step explanation:
A trinomial expression is a polynomial expression with three terms.
The term with the highest power of variable is called the leading term and the co-efficient of this term is called the leading co-efficient.
The alone number without any variable in the expression is called the constant.
Example of a trinomial:
[tex]5x^2+2x+4[/tex]
Leading co-efficient = 5
Constant = 4
A trinomial with a leading coefficient of 3 and a constant term of -5 from the given choices is:
D. [tex]3m^2+m-5[/tex]
A restaurant has 4 pizza toppings to choose from. How many different 3 topping pizzas are possible
Using combinations in mathematics, it's found that there are 4 different 3-topping pizzas possible from a selection of 4 toppings, since the order of toppings on a pizza does not matter.
Explanation:Combination Calculation for Pizza Toppings
When considering the number of different 3-topping pizzas possible from 4 choices, one must use combinations to solve this problem. A combination is a selection of items where the order does not matter, which fits our scenario since the order of toppings on a pizza does not change the pizza's identity. In mathematical terms, we look for the number of combinations of 4 items taken 3 at a time, which is denoted as 4C3.
The formula for combinations is:
C(n, k) = n! / (k!(n-k)!), where n is the total number of items, k is the number of items to choose, and ! denotes a factorial.
Thus, for our pizza topping problem, this becomes:
4C3 = 4! / (3!(4-3)!) = (4×3×2×1) / ((3×2×1)×1) = 24 / 6 = 4 different 3-topping pizzas.
Therefore, there are 4 different ways to select 3 toppings from a choice of 4.
Fractions between -8/10 and -4 / 5
Answer:
They are equal.
Step-by-step explanation:
-4/5=-8/10
How do u do this I’m lost
Answer:
A = 1/3b
Step-by-step explanation:
Divide each side by 12b to isolate the variable "a". This leaves a = 4/12b. This can be simplified to 1/3b.
Steps to solve:
12ab/12b = 4/12b (Divide 12/b to both sides)
a = 4/12b
a = 1/3b (Answer)
______
Best Regards,
Wolfyy :)
someone help plzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
Part A: Option C
Part B: Option B
Step-by-step explanation:
Part A:
We have to find the equation of a straight line having x-intercept at (3,0) and y-intercept at (0,2).
Now, using intercept form of straight line equation we can write the equation of the required straight line is [tex]\frac{x}{3} + \frac{y}{2} = 1[/tex]
⇒ [tex]\frac{y}{2} = 1 - \frac{x}{3}[/tex]
⇒ [tex]y = - \frac{2}{3} x + 2[/tex]
So, option C is correct. (Answer)
Part B:
See the graph of the straight line provided.
The straight line passes through the points (10, 80) and (20, 100)
Therefore, the slope of the straight line is given by [tex]\frac{100 - 80}{20 - 10} = \frac{20}{10} = 2[/tex]
therefore, option B is correct. (Answer)
What is y-2=5(x+7) in standard form?
You want to work out the distance you have travelled on your bike so far. In total, you have travelled 600 km. You believe that for every 5 km travelled, 2 km of that was on your bike. How far have you travelled on your bike?
Answer:240 km
Step-by-step explanation: 600 ÷5 = 120, 120 × 2 = 240 km
I think that's the answer I'm not sure but hope this helps ;)
Find the area of a circle with a circumference of 18.84 units
welp
Answer:
A=28.25 is the rounded form of the answer.
A = 28.245673384359 in^2
Answer:
Area: 28.25
Step-by-step explanation:
Area = Circumference^2
4 (pi)
18.84^2 = 354.9456
4(pi) = 12.5663706144
354.9456 ÷ 12.5663706144 = 28.2456733843
Rounded to the nearest hundreth, the 5 in the thousandths place converts the 4 in the hundreths place into 5.
what is the slope of y=-5+4x
Answer:
the slope is 4
Step-by-step explanation:
y=mx+ c
m=4
c=-5
Answer:y intercept :5
Step-by-step explanation:
slope-4
15 Teocars ware Lauderdale
Blood internacional Airport
One can travels morth 12 miles
amores miles east. The second
cartaceis Smiles south and then
(9.12)
How far apart are the cars?
F. 42 miles
25 miles
FL 21 miles
L 18 miles
Answer:
The two cars are at the distance of 21 miles apart .
Step-by-step explanation:
Given as :
The car travel due north to the distance = 12 miles
The car travel due south to the distance = 9.12 miles
let the distance between the two cars = x miles
So, the total distance between the cars = The distance of north going car + the distance of south going car
Or, the total distance between the cars = 12 miles + 9.12 miles
or, the total distance between the cars = 21.12 miles ≈ 21 miles
I.e the total distance between the cars = 21 miles
Hence The two cars are at the distance of 21 miles apart . Answer
A recip calls for 1/2 cup of mike. Epress the number of mike as a decimal.
Answer:
.5
Step-by-step explanation:
1 divided by 2 is .5.
Answer:
0.5
Step-by-step explanation:
1/2 is equal to 5/10, and 5/10 is equal to 0.5.
Are coplanar points in the same line?
Answer:
I am not sure what you mean by same line but a CO planar point have to both share the same plane so not necessarily the same ray or line segment but it has to be on the same plane
Step-by-step explanation:
[tex]3x - 7 = 3x + 1[/tex]
solve for x
Answer:
No Solution.
Step-by-step explanation:
3x-7=3x+1
3x-3x-7=1
0-7=1
-7=1
no solution
Gas mileage is the number of miles you can drive on a gallon of gasoline. A test of a new car results in 560 miles on 20 gallons of gas. How far could you drive on 50 gallons of gas? What is the car’s gas mileage?
Answer:
Gas mileage is the number of miles you can drive
Gas mileage is the number of miles you can drive on a gallon of gasoline. A test of a new car results in 600 miles on 20 gallons of gas.
Step-by-step explanation:
Plzzz give me brainllest
In which quadrant is the number -14-5i located on the complex plane?
Answer:lll(3) Quadrant lll
Step-by-step explanation:Quadrant 3 is the quadrant where the imaginary part of a number and the real part of a number are both negative and in this number they both are.
Solve the system of equations:
3x + 2y = 4
3x + 6y = -24
Answer:
y=-7
x=6
Step-by-step explanation:
If you subtract 3x from both equations, you get -4y=28, which means that y=-7. When you substitute it back in, you get the x-value of 6.
24:8,39:13 equvilent
Answer:
24 : 8 ≡ 39 : 13
Step-by-step explanation:
We are given two proportion relation and we have to determine whether they are equivalent or not.
Now, the first proportion is 24 : 8
So, the simplified proportion will be 24 : 8 = 8 × 3 : 8 = 3 : 1
Again the second proportion is 39 : 13
So, the simplified proportion is 39 : 13 = 13 × 3 : 13 = 3 : 1
Therefore, the two given proportions are equivalent i.e. 24 : 8 ≡ 39 : 13. (Answer)
Need help with this math problem
Answer:
[tex]x=16[/tex]
Lenght of the equal sides: [tex]71\ units[/tex]
Step-by-step explanation:
You can observe in the picture that the triangle have two angles that have equal measure; therefore, it is an Isosceles triangle.
By definition, Isosceles triangles have two equal angles and two equal sides.
Based on this, you can write the following equation:
[tex]9x-73=3x+23[/tex]
Solving for "x", you get this value:
[tex]9x-3x=23+73\\\\6x=96\\\\x=\frac{96}{6}\\\\x=16[/tex]
Finally, you can subsitute the value of "x" into any expression to find the lenght of the equal sides:
[tex]3(16)+23=71\ units[/tex]
you and your friend are collecting seashells on the beach. You collect 20 more shells than your friend collects. Together, you and your friend have 92 seashells. How many seashells do each of you collect
You first add 92+20. You will get 112. So 112 seashells collected.
Caden answered 84% of the questions on her science test correctly. If she answered 21 questions correctly, how many questions were on the test?
A
25
B
26
C
27
D
28
Suppose a radioactive substance decays at a rate of 4% per hour. How long does it take until the substance is half of its original weight?
7 days and 5 hours
1713 hours
712 hours
17 days and 8 hours
also have a few questionsmore.
Answer:
The radioactive substance will decay in 17.70 hours .
Step-by-step explanation:
Given as :
The rate of decay of radioactive substance = 4 % per hour
Let The original weight of substance = w
The final weight of substance = [tex]\frac{w}{2}[/tex]
Let the hours for decay of substance = n
Now,
The weight of substance after n years = The original weight of substance × [tex](1- \dfrac{\textrm Rate}{100})^{n}[/tex]
or,
[tex]\frac{w}{2}[/tex] = w × [tex](1- \dfrac{\textrm 4}{100})^{n}[/tex]
Or, [tex]\frac{1}{2}[/tex] = [tex](1- \dfrac{\textrm 1}{25})^{n}[/tex]
or, [tex]\frac{1}{2}[/tex] = [tex](\dfrac{\textrm 25-1}{25})^{n}[/tex]
or, [tex]\frac{1}{2}[/tex] = [tex](\dfrac{\textrm 24}{25})^{n}[/tex]
Taking log both sides :
Log [tex]\frac{1}{2}[/tex] = Log [tex](\dfrac{\textrm 24}{25})^{n}[/tex]
So, Log [tex]\frac{1}{2}[/tex] = n × Log [tex]\frac{24}{25}[/tex]
∴ - 0.301 = n × ( - 0.017 )
So , n = [tex]\frac{0.301}{0.017}[/tex]
I.e n = 17.70 hours
Hence The radioactive substance will decay in 17.70 hours . Answer
Answer:
0.22 hours
Step-by-step explanation:
Half life is defined as the time taken by a radioactive material to decay to half of its original value.
Mathematically, half-life (t1/2) = ln2/¶ where ¶ is the decay constant.
Before we can get the half life, we need to get the decay constant first. To get ¶, we will use the radioactivity formula. According to the formula,
N/No = e^-¶t where;
N/No is the fraction of the final substance after decay the the original value of the substance = 4% = 1/25
t is the time of decay = 1hour
Substituting into the formula to get the decay constant we have;
1/25 = e^-1¶
Applying ln to both sides, we have;
ln 1/25 = lne^-¶
ln1/25 = -¶
-3.22= -¶
¶ = 3.22
The decay constant is 3.22
Half life = ln2/3.22
Half life = 0.22hours
It will take the substance 0.22hours before it changes to half of its original weight.
Equliteral triangel has length 2x-7 cm=x+y-9 cm and breath y +5 cm Find the length of each side of the triangel
Answer:
First Side = 21 units
Second side = 21 units
Third side = 21 units
Step-by-step explanation:
Here, the three sides of the equilateral triangle are:
(2 x-7) cm , ( x + y - 9) cm and ( y + 5) cm
Now, a triangle is said to be an EQUILATERAL TRIANGLE if all three sides of the triangles are equal in the measure.
⇒ For the given triangle to be equilateral:
(2 x-7) = ( x + y - 9) = ( y + 5)
Consider third and second term, we get:
x + y -9 = y + 5
or, x - 9 = 5
⇒ x = 9 + 5 = 12, or x = 14
Also,from first and second term :
(2 x-7) = ( x + y - 9)
⇒ 2(14) - 7 = (14 + y) - 9
⇒ 28 - 7 -14 + 9 = y
or, y = 16
Hence, First Side = 2 x - 7 = 2(14) - 7 = 21 units
Second side = x + y - 9 = 14+ 16 - 9 = 21 units
Third side = y + 5 = 16 + 5 = 21 units
Food bill before tax: $40
Sales Tax: 8% Tip: 17%
Answer: $50.00
Step-by-step explanation:
Org. Price- $40.00
10% - $4.00
1% - $0.40
8% - $3.20
Tax - $3.20
10% + 8% - 1% = 17%
4.00 + 3.20 - 0.40 = 6.80
Tip - $6.80
$40.00 + $3.20 + $6.80 = $50.00
Work out the size of angle X.
Answer:
x = 70°
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
120° is an external angle of the triangle, thus
x + 50 = 120 ( subtract 50 from both sides )
x = 70
to visit the of the empire state building, a ticket cost $4.00 in 1999.in 2009 ,the price rose to 20.00. what was the percent change?
Answer:
Step-by-step explanation:
i think its 500%
but im not sure
because 20 divided by 4 = 5
and 5.0 = 500%
Answer:
The percent change is 400%
Explanation:
We know that percentage change is given by the
[tex]\frac{change in value}{absolute value of the original value} \times 100[/tex]
i.e we find the difference between the original value and current value and then divide it by original value and multiply the obtained value with 100.
a negative percentage change indicates increase in value.
so we get 4 - 20 = -16
[tex]\frac{-16}{4}[/tex] = -4
[tex]-4 \times[/tex] 100 = -400
hence there is an increase of 400% in the percentage which is the required percentage.
Marie will earn $15 per hour at a new job. During training, she will earn $10 per hour. What percent of Marie's regular rate will she earn during training?
Answer:
66.67%
Step-by-step explanation:
Marie's earnings at a new job : $15 per hour
Her earnings during training : $10 per hour
percentage of Marie's regular rate earned by her during training
= [tex]\frac{Her\ earnings\ during\ training}{Her earning\ at\ a\ new\ job}[/tex]×100
= [tex]\frac{10}{15}[/tex]×100
= [tex]\frac{200}{3}[/tex]
= 66.67%
∴percentage of Marie's regular rate earned by her during training = 66.67%
Final answer:
To find what percentage of Marie's regular rate she will earn during training, divide her training rate by her regular rate and multiply by 100%.
Explanation:
Marie will earn $10 per hour during training. Her regular rate is $15 per hour. To calculate what percentage of her regular rate she will earn during training, we use the formula: percentage = (training rate / regular rate) * 100%. Plugging in the values, we get (10 / 15) * 100% = 66.67%. Therefore, Marie will earn 66.67% of her regular rate during training.
An industrial designer wants to determine the average amount of time it takes an adult to assemble an “easy to assemble” toy. A sample of 16 times yielded an average time of 19.9 minutes, with a sample standard deviation of 6 minutes. Assuming normality of assembly times, provide a 90% confidence interval for the mean assembly time.
Answer:
(17.42 ; 22.38)
Step-by-step explanation:
To construct a confidence interval we use the following formula:
ci = (sample mean) +- z*(sd)/[n^(1/2)]
The sample mean is 19.9 and the standard deviation is 6. The sample has a n of 16. We have to find the value of z which is the upper (1-C)/2 critical value for the standard normal distribution. Here, as we want a confidence interval at a 90% we have (1-C)/2=0.05 we have to look at the 1-0.05=0.95 value at the normal distribution table, which is 1.65 approximately. Replacing all these values:
ci: (sample mean - z*(sd)/[n^(1/2)] ; sample mean + z*(sd)/[n^(1/2)])
ci: (19.9 - 1.65*6/[16^(1/2)] ; 19.9 + 1.65*6/[16^(1/2)])
ci: (19.9 - 9.9/4] ; 19.9 + 9.9/4)
ci: (19.9 - 2.48 ; 19.9 + 2.48)
ci: (17.42 ; 22.38)
To find a 90% confidence interval for the mean time, we can use the formula C-I = x ± z * (σ/√n). Using the given sample mean, sample standard deviation, and sample size, the 90% confidence interval is approximately (17.43, 22.37) minutes.
Explanation:To find a 90% confidence interval for the mean time, we can use the formula:
C-I = x ± z * (σ/√n)
Where:
C-I is the confidence intervalx is the sample meanz is the z-score corresponding to the confidence level (in this case, 90%)σ is the population standard deviationn is the sample sizeSince the population standard deviation is unknown, we can use the sample standard deviation as an estimate. The z-score corresponding to a 90% confidence level is approximately 1.645.
Plugging in the given values:
C-I = 19.9 ± 1.645 * (6/√16)
C-I = 19.9 ± 1.645 * 1.5
C-I = 19.9 ± 2.46875
Therefore, the 90% confidence interval for the mean time is approximately (17.43, 22.37) minutes.
Learn more about Confidence interval here:
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Graph a line with a slope of 2/5 that contains the point (-2,4)
A graph of the line with slope 2/5 and passing through the point (-2, 4) is shown on the coordinate plane in the image below.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
[tex]y - y_1 = m(x - x_1)[/tex]
Where:
x and y represent the data points.m represent the slope.At data point (-2, 4) and a slope of 2/5, an equation for this line can be calculated by using the point-slope form as follows:
[tex]y - y_1 = m(x - x_1)[/tex]
y - 4 = 2/5(x - (-2))
y - 4 = 2/5(x + 2)
y = 2/5(x) + 4/5 + 4
y = 2/5(x) + 24/5
Read more on point-slope here: brainly.com/question/24907633
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What is the quotient of the complex numbers below?
(5-5i) = (3-i)
Answer:
A. 2- i
Step-by-step explanation:
Answer:
2 + i
Step-by-step explanation: