Answer:
75
Step-by-step explanation:
because if you multiply 20 and 25 by 3 you get 60 and 75, 60 being the amount of seconds are in a second and 75 being your heartrate per minute.
The sum of an 84-number series is –7,980. What is the sum of the first and last numbers?
Answer:
- 190
Step-by-step explanation:
Since the sum of 84 number series is -7980. We have to find the sum of first and last numbers. Since sum of an arithmetic sequence is represented as. S =. (First + last) =. So the total of first and last term is (-190). Option B. -190 is the correct option.
Answer:
B) -190
Step-by-step explanation:
Trust
The area of a parallelogram is 12 ft^2 The height is 2 ft. Find the length of the corresponding base
Answer:
The length of the corresponding base is 6 ft.
Step-by-step explanation:
A = bh Use this equation to find the length of the base
12 = 2b Divide both sides by 2 to get b by itself
6 = b
If this answer is correct, please make me Brainliest!
Answer:
6
Step-by-step explanation:
did lesson
A monomial of the 2^{\text{nd}}2
nd
2, start superscript, start text, n, d, end text, end superscript degree with a leading coefficient of 333
Answer:
Possible monomials: 3x² and 3xy
Step-by-step explanation:
We are asked to find a monomial of the 2nd degree with a leading coefficient of 3.
A monomial is a polynomial with only one term. This monomial has to be of 2nd degree, that is, if only one variable is present, the exponent of it is 2, like in x² or y²; but if two variables are present, the exponent of each one is one, so that, the degree is still two, like in xy (degree = 1 + 1 = 2)
In a monomial there is only one coefficient, the leading coefficient, which is the multiplicative factor of the variables. Then, with one variable, the monomial is 3x², and with two, it is 3xy
Answer:
3n^2 is the answer
Step-by-step explanation:
Khan academy lol
how can you identify the zeros of a function from a graph ?
Answer:
Step-by-step explanation:
Set the Format menu to ExprOn and CoordOn. Press [2nd][TRACE] to access the Calculate menu. Press [2] to select the zero option. If necessary, repeatedly press Set the Left Bound for the zero you desire to find.
Write 4x^4 + x^6 - 3+ 6x^8 in standard form.
Answer:
6x^8 + x^6 + 4x^4 + 0x^2 - 3
Step-by-step explanation:
Rewrite this in descending order by powers of x:
6x^8 + x^6 + 4x^4 + 0x^2 - 3x^0
or
6x^8 + x^6 + 4x^4 + 0x^2 - 3
On a test, Robert has been presented with 15 vocabulary words and 15 definitions. He is being asked to match each vocabulary word to appropriate definition. How many different ways are there for Robert to do the matching?
Answer:
15! = 15*14*13*12*11*10*9*8*7*6*5*4*3*2*1
Step-by-step explanation:
It will be 15! = 15*14*13*12*11*10*9*8*7*6*5*4*3*2*1
Because the first vocab has 15 definitions to match
the second then be left with 14 definitions ( cause the first one match with 1 def already
the third has 13 definition
so on ...
hope this help
Answer:
15! ways
Step-by-step explanation:
15! =1.307 × 10¹²
For the first word, he has 15 options
For the second word, 14 options
.
.
.
For the last word, 1 option
Total possibilities:
15 × 14 × 13 × 12 × ...... × 1 = 15!
A rectangular box is tied with a ribbon so that the ribbon crosses the box at the midpoints of its sides. If the box is 8 inches long, 6 inches wide, and 5 inches high, how long is the ribbon? hint: look for right triangles.
Answer:
The ribbon is 28.4 meters
Step-by-step explanation:
Given the box is 5m high, 6m long, and 8m wide,
we have a right angled triangle with hypotenuse = unknown, x, say
Opposite = 5m and 8m
Then, by Pythagoras theorem
x² = 5² + 8²
x² = 25 + 64
x² = 89
x = √89 ≈ 9.4m
The ribbon is now (5 + 6 + 8 + 9.4)m = 28.4m
What is the sum of the numbers
Answer:
B 4i sqrt(2)
Step-by-step explanation:
sqrt(-2) = sqrt(-1) * sqrt(2) = i sqrt(2)
sqrt(-18) = sqrt(-1) sqrt(2) sqrt(9) = 3i sqrt(2)
Add them together
i sqrt(2) + 3i sqrt(2)
4i sqrt(2)
Answer:
B.) [tex]4\sqrt{2}i[/tex]
Step-by-step explanation:
Simplify both radicals from negative form (the square root of -1 is i ):
[tex]\sqrt{-1*2} +\sqrt{-1*18} \\\\\sqrt{2}i+\sqrt{18}i[/tex]
Simplify [tex]\sqrt{18}[/tex] :
[tex]\sqrt{9*2}\\\\\sqrt{9}*\sqrt{2}\\\\ 3\sqrt{2}i[/tex]
Add:
[tex]1\sqrt{2}i+3\sqrt{2}i\\\\4\sqrt{2}i[/tex]
:Done
10x + 4 = 2(5x + 8) – 12 how many solutions and solve for x
Answer:
hope this help
Step-by-step explanation:
10x + 4 = 10x + 16 -12 = 10x + 4
infinite solution of x ( for x is real number)
8.2g of sugar is needed for every cake made. How much sugar is needed for 12 cakes?
Answer:
98.4
Step-by-step explanation:
Since one cake equals 8.2 g of sugar, we can multiply this by 12 to get 12 cakes equals 98.4 g of sugar
Answer:
98.4 Grams because 8.2 times 12 is 98.4
Step-by-step explanation:
Plz give brainliest
The expression of 20-31 gives us the distance between the numbers 20 and 31 write a similar expression for the distance between -5 and -15 and simplify it.
Answer:
After simplifying, our answer is 10
Step-by-step explanation:
20-31 gives the distance between 20 and 30
Now, for -5 and -15
The similar expression to write will be -5-(-15)
Simplifying this, we have;
That would be -5+15 = 10
lenghts of the sides of a rectangular garden are in a ratio 1:2. Line connecting the centers of the adjacent sides of the garden is 20 m long. Calculate the perimeter and the area of the garden.
Answer:
perimeter = 107.4 m
area = 640.82 m²
Step-by-step explanation:
The line connecting the the centers of the adjacent sides of the garden is 20 m long. The line is a diagonal that forms an hypotenuse sides of a triangle.
The length of side of the rectangle has a ratio of 1 : 2. This means one side has a length a meters and the other 2a meters.
Pythagoras theorem can be use to get a since a right angle is formed due to the diagonal.
(a/2)² + (2a/2)² = 20²
(a/2)² + (a)² = 20²
a²/4 + a² = 400
(a² + 4a²)/4 = 400
5a²/4 = 400
cross multiply
5a² = 1600
a² = 1600/5
a² = 320
square root both sides
a = √320
a = 17.88854382
a ≈ 17.90
The required length is a = 17.90 m and the other side will be 17.90 × 2 = 35.80 m.
Area = length × breadth
area = 17.90 × 35.80 = 640.82 m²
perimeter = 2(l + b)
perimeter = 2(35.80 + 17.90)
perimeter = 2(53.7)
perimeter = 107.4 m
HELP!!!!! due in 5 or 10 minutes!!!
Caleb has a cube with an edge length of
3 inches. Emma has a cube whose volume is
27 times as great as the volume of Caleb's
cube.
What is the length of Emma's cube?
Answer:
The answer is 9.
Step-by-step explanation:
Caleb's cube has a volume of 27 inches cubed.
27 x 27 = 729
729 has a cube root of 9.
Rao's Finance claims that less than 50% of adults in Suva have a will. A will is a legal document that sets forth your wishes regarding the distribution of your property and the care of any minor children. If you die without a will, those wishes may not be carried out. To substantiate the claim, a random sample of 1000 adults showed that 450 of them have a will. A. At the 5% significance level, can you conclude that the percentage of people who have a will is less than 50%? B. What is the Type I error in part A? What is the probability of making this error? C. What would your decision be in part A if the probability of making a Type I error were zero? Explain.
Answer:
See the explanation below.
Step-by-step explanation:
n = sample size = 1000
X = proportion of adults that a will = 450 / 1,000 = 0.45
P-value = 0.5
a = level of significance = 5%, or 0.05
A. At the 5% significance level, can you conclude that the percentage of people who have a will is less than 50%?
Our hypotheses are:
Null hypothesis: u ≥ 0.5
Alternate hypothesis: u < 0.5
Since this indicates a left tailed test, the decision rule is to reject null hypothesis if p-value is less than the level of significance.
[tex]Z = test statistic = \frac{0.45 - 0.5}{0.5/\sqrt{1,000} }[/tex]
Z = - 0.05 / 0.0158113883008419 = - 3.1623
Using the excel function NORMSDIST(-3.1623), we have:
P- value = 0.000782701129001276, approximately 0.0008
Therefore, null hypothesis is rejected at 5% level of significance since the p-value 0.0008 is less than 5%, or 0.05.
Therefore, there is an enough reason to reject null hypothesis.
B. What is the Type I error in part A? What is the probability of making this error?
Since the probability is greater than 50%, the Type I error is therefore the statement in the question that less than 50% of adults have a will.
Also, the probability of making this Type I error is the 5% level of significance.
C. What would your decision be in part A if the probability of making a Type I error were zero?
The null hypothesis will be rejected if the probability of making a Type I error were zero in part A.
I need help pleaseeee
Answer:
20cm
Step-by-step explanation:
pythagorean theorem
15^2 + b^2 = 25^2
225 + b^2 = 625
b^2 = 400
b = 20
Answer:
20 cm
Step-by-step explanation:
This is a right triangle so we can use the Pythagorean theorem
a^2 +b^2 = c^2
where a and b are the legs and c is the hypotenuse
15^2 +b^2 = 25^2
225+b^2 = 625
Subtract 225 from each side
225+b^2 -225 = 625-225
b^2 = 400
Take the square root of each side
sqrt(b^2) = sqrt(400)
b = 20
A supermarket has 28 employees. The owner of the supermarket pays each employee 320 per week. After paying his worker for one week the owner has 247 left in his bank account. How much money did he have at first?
Answer:
The owner of the supermarket had 9207 at first
Step-by-step explanation:
The key to unlocking this question is to first of all determine how much the supermarket owner paid to employees:
amount paid as weekly wages=number of employees*pay per employee
there are 28 employees
the pay per week is 320 each
amount paid as weekly wages=28*320=8960
The amount the owner of the supermarket had at first is the amount paid as weekly wages plus the balance left after the wages have been settled.
balance after payment of wages is 247
Amount he had at first=8960+247=9207
You go to "Ice Cream Palace" for dessert one day. You can get vanilla, chocolate, or twist ice cream. You have a choice of rainbow sprinkles, chocolate
sprinkles, or no sprinkles. You can get your ice cream in a cup or a cone and they each come in small, medium, and large sizes. How many different combinations
are there in all?
Answer:
54 combinations.
Explanation:
3x3x2x3= 54
Which property is this 6y-y + 2y + 10 - 4+2
find the volume of the cylinder.
either enter an exact answer in terms of pi or the use of 3.14
radius 3
height 6
Answer:
Volume, [tex]V=169.56\ \text{units}^3[/tex]
Step-by-step explanation:
We have,
Radius of cylinder is 3 units
Height of the cylinder is 6 units
It is assumed to find the volume of the cylinder. The formula of the volume of cylinder is given by :
[tex]V=\pi r^2 h \\\\V=3.14\times 3^2 \times 6\\\\V=169.56\ \text{units}^3[/tex]
So, the volume of the cylinder is [tex]169.56\ \text{units}^3[/tex].
Anthony is a high school basketball player. How many points would Anthony score in a game if he made 8 three point shots and 2 two point shots ? How many points would Anthony score in a game if he made x three point shots and y two point shots?
Answer:
Step-by-step explanation:
x three point shots: 8*3=24
x two point shots: 2*2=4
The point would Anthony score is : 24+4=28
I hope it'll help you much
Thank you for asking
how do you simplify this
Answer:
6^8
Step-by-step explanation:
so whenever there is an exponent outside of a parentheses, multiply it with the exponent inside the parentheses:
so (6^4)^2= 6^8
Hope this helps!
Answer:
well the answer is 1679616
Step-by-step explanation:
how you search it up is (6^4)^2 and how you do it is times 6 by 6 by 6 by 6 then whatever that comes out to (1296) you would multiply that twice (1296 times 1296) and that'd be your answer ( 1679616)
Samuel received $250 as prize money for winning the St. Peterson High School Badminton Tournament. The money was deposited in a special scholarship account that offered an annual interest of 1.8% compounded semiannually. The amount he will have in the account after t years can be calculated using the expression below. Use the given expression to complete the statements below. The expression is the of the amount initially deposited and the of one and the rate of increase raised to the number of .
Complete Question:
Samuel received $250 as prize money for winning the St. Peterson High School Badminton Tournament. The money was deposited in a special scholarship account that offered an annual interest of 1.8% compounded semiannually. The amount he will have in the account after t years can be calculated using the expression below.
250(1+0.018/2)^2t
Use the given expression to complete the statements below.
The expression is the *blank* of the amount initially deposited and the *blank* of one and the rate of increase raised to the number of *blank*
1st Blank:
Product
Sum
Quotient
Square
2nd Blank:
Quotient
Product
Difference
Sum
3rd Blank:
Compounding Periods
Years
Months
Answer:
First blank: product
Second blank : Sum
Third blank : years
Step-by-step explanation:
The expression :
250(1+0.018/2)^2t
The expression is the *blank* of the amount initially deposited and the *blank* of one and the rate of increase raised to the number of *blank*
The first blank represents product which adopts the use of the bracket () symbol
The second blank is the sum of one and the rate of increase depicted with the addition '+' sign
The third blank represents years which is the period of time in years for which the money was kept in the scholarship account
Which function does the graph represent?
Answer:
B
Step-by-step explanation:
HELP DUE NOW GIVING BRAINLIST HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1) distributive property.
Step-by-step explanation:
Becca used the distributive property, in that she distributed (multiplied) 4 to all terms within the parenthesis:
4(x + 2) = 4x + 8
~
Answer:
1. Distributive
Step-by-step explanation:
Becca used the Distributive Property. You can tell because she multiplied (x + 2) by 4, which is distributing the 4.
please help.will mark brainliest!
Answer:
1 an -5/2
Step-by-step explanation:
1. Find the value of (−0.024)square
Plz help! Question is in the picture :)
Answer:
32.94%
Step-by-step explanation:
Hope this helps
6/11 + 4 = 2/11 x + 16
Answer: x = 33
Step-by-step explanation:
Subtract 2/11x from both sides
Subtract 4 from both sides
Multiply both sides by 11/4
Answer:
The result is [tex]x = 33[/tex] .
Step-by-step explanation:
Solve the equation:
[tex]\frac{6}{11} x +4 = \frac{2}{11} x + 16[/tex]
-Subtract [tex]\frac{2}{11} x[/tex] from [tex]\frac{6}{11}x[/tex] :
[tex]\frac{6}{11} x +4 -\frac{2}{11}x = \frac{2}{11} x - \frac{2}{11}x + 16[/tex]
[tex]\frac{4}{11} x +4 = 16[/tex]
-Subtract from both sides by 4:
[tex]\frac{6}{11} x + 4 - 4 = 16 -4[/tex]
[tex]\frac{6}{11} x = 12[/tex]
-Multiply both sides by [tex]\frac{11}{4}[/tex] :
[tex]x = 12[/tex] × [tex](\frac{11}{4})[/tex]
[tex]x = 33[/tex]
So, the answer for the equation is [tex]x =33[/tex] .
If f(x) = -2x + 3 and g(x) = 2x + 3; solve for f(3) + g(7)
Answer:
You just add the 2 equations together and fill in the 3 into the x where the f(x) equation is located and 7 into the x where the g(x) equation is located. I hope this helps. Have a great rest if your day!
Two fire-lookout stations are 14 miles apart, with station B directly east of station A. Both stations spot a fire. The bearing of the fire from station A is Upper N 35 degrees E and the bearing of the fire from station B is N 30 degrees W. How far, to the nearest tenth of a mile, is the fire from each lookout station?
The fire is a distance of 9.33 miles from Station A and 4.67 miles from Station B.
Let's denote the distance of the fire from station A as "x" and the distance of the fire from station B as "y".
From station A, the bearing of the fire is N 35° E. This means that if we draw a line connecting station A and the fire, the angle between this line and the north direction is 35°.
Similarly, from station B, the bearing of the fire is N 30° W. This means that the angle between the line connecting station B and the fire and the north direction is 30°.
Now, let's construct a triangle with vertices at Station A, station B, and the fire. The line connecting station A and station B represents the base of the triangle, and the lines connecting station A and the fire and station B and the fire represent the two sides of the triangle.
Since the triangle is isosceles (both sides are equal), the angles opposite the two sides will also be equal.
Let's denote the angle opposite side x as α and the angle opposite side y as β.
From the given bearings, we can determine the values of α and β:
α = 180° - 35° = 145°
β = 180° - 30° = 150°
Now, using the Law of Sines, we can set up the following ratios:
sin(α) / x = sin(β) / y
Solving for y, we get:
y = (sin(β) / sin(α)) * x
Substituting the known values, we have:
y = (sin(150°) / sin(145°)) * x
Using a calculator, we can evaluate the sin(150°) and sin(145°) to get:
y = (0.5 / 0.996) * x
y = 0.501 * x
Since the two stations are 14 miles apart, we know that x + y = 14.
Substituting the value of y from the previous equation, we have:
x + 0.501 * x = 14
1.501 * x = 14
x = 14 / 1.501
x ≈ 9.33
Now, to find the value of y, we can substitute the value of x into the equation:
y = 0.501 * x
y = 0.501 * 9.33
y ≈ 4.67
Therefore, the fire is 9.33 miles from Station A and 4.67 miles from Station B.
Learn more about the distance here:
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The fire is approximately 38.7 miles away from station A and 38.4 miles away from station B.
To solve this problem, we can use trigonometry and create a diagram to visualize the situation.
Now, let's label the diagram. We'll use the following labels:
A: Fire-lookout station A
B: Fire-lookout station B
F: Fire's location
Next, we need to determine the angles and distances involved. From the problem statement, we know the bearing of the fire from station A is N 35° E, and the bearing of the fire from station B is N 30° W. Let's mark these angles on the diagram.
To find the distance of the fire from each station, we can consider the angles formed between the stations and the fire. The sum of these angles should be 180° since we have a straight line. Let's find the missing angles by subtracting the given angles from 180°.
For station A:
Angle A = 180° - 35° = 145°
For station B:
Angle B = 180° - 30° = 150°
Now, let's draw lines from each station to the fire, and label the distances as dA and dB.
We can use trigonometry (specifically, the tangent function) to find the distances dA and dB. Tangent of an angle is equal to the opposite side divided by the adjacent side.
For station A:
tan(145°) = opposite side (dA) / adjacent side (14 miles)
dA = 14 * tan(145°)
For station B:
tan(150°) = opposite side (dB) / adjacent side (14 miles)
dB = 14 * tan(150°)
Now, let's calculate these distances using a calculator.
dA = 14 * tan(145°) ≈ 38.7 miles
dB = 14 * tan(150°) ≈ 38.4 miles
for such more question on angles
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