Answer:
Being an angle its sum is 180 °
Step-by-step explanation:
45+35=180
80=180
180-80
100
Hope it may helped you
Find the following indefinite integral. Use C for the constant of integration.
Given that:
we should find the indefinite integral of integral -2x^-10 -2 dx using C as contstant of integration
so,
integral of (-2x^a - 2) = -2/(a+1)x^(a+1) - 2x + C
Where a is the exponent of x
we have our exponent of x as -10 from the question
so,
integral of -2x^-10 - 2
= -2/(-10+1)x^(-10+1) - 2x + C
= 2/9x^(9) - 2x + C
= (2/9x)^-9 - 2x + C
Last season Emily soccer team how to win loss ratio of 9 to 12 and Grant soccer team how to win loss ratio of 10 to 15 who’s team has a higher ratio of wins to losses use complete sentences to explain your reasoning
The Emily soccer team has the higher ratio of wins to losses.
What is Ratio?Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.
The ratio of a and b is denoted as a : b.
Given that,
Ratio of win to loss of Emily soccer team = 9 : 12
Ratio of win to loss of Grant soccer team = 10 : 15
9 : 12 = 9 / 12 = (9 × 5) / (12 × 5) = 45 / 60
10 : 15 = 10 / 15 = (10 × 4) / (15 × 4) = 40 / 60
If 60 games are losses, then 45 games are wins for Emily soccer team.
If 60 games are losses, then 40 games are wins for Grant soccer team.
Higher ratio is for Emily soccer team.
Hence higher ratio of wins to losses is for Emily soccer team.
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PLZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPPP
HELP PLEASE whats the number for this answer?
ASAP
Answer:
68°
Step-by-step explanation:
Total angle in a quadrant = 90°
x + 22° = 90°
x = 90 - 22
x = 68°
HELP ASAP GEOMETRY 40 POINTS
Use the image to answer the following questions.
(a) The angle pitch of a roof is safest when measuring between 18° -27°. According to these guidelines, is
the roof pictured in the image safe? (Note:
(
b) What is length of the roof line (segment PR)? Round answer to the nearest tenth of a foot and show all
your work
Answer:
Part (a)
It's not stated, but I'm assuming that RV = VQ
If so, then we use the tangent ratio to connect the opposite side PV = 7 and adjacent side RV = 16
Focus on triangle RPV
tan(angle) = opposite/adjacent
tan(R) = PV/RV
tan(x) = 7/16
x = arctan(7/16) ...... same as inverse tangent
x = 23.6293777 ...... which is approximate
Rounding to the nearest degree, the angle x is roughly 24 degrees.
Since 18 < 24 < 27, this means the roof pitch follows the safety guidelines.
Answer: Yes the roof is safe====================================================
Part (b)
Again we only focus on triangle RPV
We have two pathways we can take. The first option is to use the pythagorean theorem
a^2+b^2 = c^2
c = sqrt(a^2 + b^2)
PR = sqrt( (RV)^2 + (PV)^2 )
PR = sqrt( (16)^2 + (7)^2 )
PR = 17.464249 .... approximate
PR = 17.5
----------
The second path you could take is to use the angle x we found in part (a). Use either the cosine or sine ratios like so
sin(angle) = opposite/hypotenuse
sin(x) = PV/PR
PR = PV/sin(x)
PR = 7/sin(23.6293777)
PR = 17.464249
PR = 17.5
The pathway for cosine will look almost identical to this, but you'll be computing PR = RV/cos(x) instead.
----------
Answer: 17.5 feetMr. Baldwin is opening a new restaurant. The ratio of the number of seats to the number of tables in his restaurant is 12:3. If there are 108 seats, how many tables are there?
27
This is your answer
Answer:
27
Step-by-step explanation:
108/12=9
9*3=27
pls help i am in 8th grade k12
What is the equation of the line shown in this graph?
A function graph of a line with two points (-2,2) and (-2,-3) with an x axis of negative five to five and a y axis of negative five to five
Enter your answer in the box.
Answer:
x = -2
Step-by-step explanation:
John wants to make 15 L of a 71% alcohol
solution by mixing together a 80% alcohol
solution and a 65% alcohol solution. How
much of each solution must he use?
Step-by-step explanation:
To answer this question we must understand what does each percentge mean :
80 percent alcohol mrans that in one liter we have 0.8 l of alcohol and 0.2 liter of water for example 65 percent ⇒0.65 liter of alcohol and 0.35 liter of waterFor 71 percent alcohol we have the quantity wich is 15 liter
so :
15 liter⇒ 100 percent
x( the unkhown quantity)⇒ 71 percent
x = (15*71)/100 )= 10.65 liter of alcohol
so we want 10.65 liter of alcohol
here is a way :
lat's take 10 L of 80 percent alcohol and 4liters of the other one
10*0.8+4*0.65 = 10.6
we just need 0.05 liter of alcohol
add 0.0625 L of the 80 percent liter alcohol to get 10.65
Select the correct sentences in the passage. Which statements are true? Any two squares are either similar or congruent. If two lines are parallel, they never intersect. If all the angles of a polygon are congruent, then it is a square. The intersection of two lines always forms 4 congruent angles. A line can be drawn through any two distinct points.
The correct sentences in the passage are option A, option B, and option E.
Any two squares are either similar or congruent. If two lines are parallel, they never intersect.A line can be drawn through any two distinct points.Let's check all the options, then we have
Any two squares are either similar or congruent. The statement is true.
If two lines are parallel, they never intersect. The statement is true.
If all the angles of a polygon are congruent, then it is a square. The statement is false because a regular polygon has an equal angle but it may be a pentagon, hexagon, etc.
The intersection of two lines always forms 4 congruent angles. The statement is false because opposite angles are the same. But if adjacent angles become the same, then the statement will be true.
A line can be drawn through any two distinct points. The statement is true.
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Complete this puzzle using each of these numbers only once : 2, 4, 5, 7, 8, 11, 13, 14, 16 Put the even numbers in the squares and the odd nurmbers in the circles. Each row of three numbers must add up to 26.
Here is one solution to the puzzle:
Squares: 2, 8, 16
Circles: 5, 7, 14
Total: 26
You can verify that each row of three numbers adds up to 26: 2 + 8 + 16 = 26, 5 + 7 + 14 = 26.
What are even and odd numbers?An even number is a number that can be divided into two equal groups. An odd number is a number that cannot be divided into two equal groups. Even numbers end in 2, 4, 6, 8 and 0 regardless of how many digits they have. Odd numbers end in 1, 3, 5, 7, 9.
Therefore, the correct answer is as given above
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P v ~Q => Q
Construct truth table
Please need it ASAP
p … q … ¬q … p ∨ ¬q … (p ∨ ¬q) ⇒ q
T … T … F … T … T
T … F … T … T … F
F … T … F … F … T
F … F … T … T … F
Start with the first two columns, taking every possible pair of True/False for p and q.
¬q is just the negation of q, so True becomes False and False becomes True.
p ∨ q is the logical disjunction, or logical "or". It's True if either p or q is True, and False otherwise. So p ∨ ¬q is True only if either p or ¬q is True.
p ⇒ q is the logical implication. It's True only when both p and q are True, or when p is False. So (p ∨ ¬q) ⇒ q is True when both p ∨ ¬q and q are True, or when p ∨ ¬q is False.
When the point (2,-5) is reflected in the x-axis what are the coordinates
Answer:
(2,5)
Step-by-step explanation:
Angles relationships
2x = 74
x = 74 ÷ 2
x = 37
that's all
Answer:
x = 37
Step-by-step explanation:
x2 = 74
74 ÷ 2 = 37
therefore the answer is x = 37
Use long division to find the quotient below.
Answer:
I think the image above will definitely help you.
At a company, a copy machine prints 175 pages in 5 minutes. If the number of pages printed is proportional to the time, what is the unit rate?
Answer:
35 pages per minute is the unit rate
Step-by-step explanation:
Divide 175 by 5 to find the unit rate
in a cooking competition called heaven's kitchen, two teams compete against each other to serve a restaurant full of customers. the competitors cook dishes and send them to an executive chef, where it is either approved and sent to the customer, or is deemed unacceptable and sent back to the kitchen. the competition has run for the past 19 years. during the 9th annual heaven's kitchen competition, the ruby team cooked a total of 207 dishes, of which 175 were sent back to the kitchen by the executive chef. in the same period, the competing sapphire team cooked a total of 203 dishes and had 71 return. construct a confidence interval to estimate the difference in the proportion of dishes sent back to the ruby team and the proportion of dishes sent back to the sapphire team. use a confidence level of 83%. round each answer to 4 decimal places. do not round from one part to the next when performing the calculations, though.
a. Find the point estimate. ____
b. Find the critical value. ____ c. Find the margin of error ____
The 83% confidence interval for the difference in the proportion of dishes sent back to the Ruby team and the Sapphire team is (0.1344, 0.2579). The point estimate is 0.1962 and the margin of error is 0.0618.
a. The point estimate of the difference in the proportion of dishes sent back to the Ruby team and the Sapphire team is:
p₁ - p₂ = (175/207) - (71/203) = 0.1962
b. To find the critical value, we first need to calculate the degrees of freedom:
df = (207-1) + (203-1) = 408
Using a t-distribution with 408 degrees of freedom and a confidence level of 83%, we find the critical value to be:
tc = 1.2554
c. The margin of error is given by:
ME = tc [√[(p₁ [q₁ / n₁]) + (p₂ [q₂ / n₂])]]
where q₁ and q₂ are the complements of p₁ and p₂, respectively. In this case:
q₁ = 1 - p₁ = 1 - 175/207 = 32/207
q₂ = 1 - p₂ = 1 - 71/203 = 132/203
Substituting the values, we get:
ME = 1.2554 [√[(175/207 [32/207 / 207]) + (71/203 [132/203 / 203])]] ≈ 0.0618
Therefore, the 83% confidence interval for the difference in the proportion of dishes sent back to the Ruby team and the Sapphire team is:
0.1962 ± 0.0618, or (0.1344, 0.2579)
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Determine if the function is a polynomial function. If the function is a polynomial function, state the degree and the leading coefficient. If the function is not a polynomial, state why. f(x)=(x+1)^1/2(x+2)
It is not a polynomial because there is a fractional exponent.
whats the difference between the lowest temperature -8 and the highest 6
Answer:
-14
Step-by-step explanation:
just like 8+6 = 14
-8-6 = -14
From the tower of 32meter of heights,a car is observed at angle of the depression of 55 degrees. Find how far the a car from the tower
the car is approximately 22.4 meters away from the tower.
What is Trigonometric Functions?
Trigonometry uses six fundamental trigonometric operations. Trigonometric ratios describe these operations. The sine function, cosine function, secant function, co-secant function, tangent function, and co-tangent function are the six fundamental trigonometric functions. The ratio of sides of a right-angled triangle is the basis for trigonometric functions and identities. Using trigonometric formulas, the sine, cosine, tangent, secant, and cotangent values are calculated for the perpendicular side, hypotenuse, and base of a right triangle.
we can write:
tan(55 degrees) = 32 / d
To solve for "d", we can rearrange the equation:
d = 32 / tan(55 degrees)
Using a calculator, we can evaluate the tangent of 55 degrees:
tan(55 degrees) = 1.428
d = 22.4 meters
Therefore, the car is approximately 22.4 meters away from the tower.
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Carol Miller went to Europe and forgot to pay her $740 mortgage payment on her New Hampshire ski house. For her 59 days overdue on her payment, the bank charged her a penalty of $15? What was the rate of interest charged by the bank? Round to the nearest hundredth percent. (Assume 360 days)
The rate of interest charged by the bank on the principal amount is 12.36%.
What is rate of interest?The amount a lender charges a borrower is called an interest rate, and it is expressed as a percentage of the principal, or the loaned amount. Typically, a loan's interest rate is expressed as an annual percentage rate, or APR (APR).
A savings account or certificate of deposit earnings at a bank or credit union may also be subject to an interest rate (CD). The interest received on these deposit accounts is measured in annual percentage yields (APY).
Given that,
Principal = 740
Interest payment = $15
Overdue days = 59
The rate of interest charged is calculated using the following formula:
R = 15 / Principal × 360 / days overdue
R = 15 / 740 × 360 / 59
R = 12.36%
Hence, the rate of interest charged by the bank on the principal amount is 12.36%.
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At a sale, coats were sold for $180 each. This price was 90% of a coat’s original price. How much did a coat originally cost?
Answer: 200
Step-by-step explanation:
A red pebble is equal to 3 yellow pebbles A blue pebble is equal to a red pebble and 2 yellow pebbles. A green pebble is equal to 3 red pebbles
Using the smallest number of pebbles possible and without using blue pebbles, what is the value in pebbles of 2 blue pebbles?
The computation shows that 2 blue pebbles will be C. 3 red pebbles and 1 yellow pebbles
How to illustrate the information?A red pebble is equal to 3 yellow pebbles. A blue pebble is equal to a red pebble and 2 yellow pebbles. Therefore, the blue pebbles will be:
= 3 yellow pebble + 2 yellow pebbles
= 5 yellow pebbles or 15 red pebbles
Two blue pebbles will be:
= 10 yellow pebbles
= 3 red pebbles and 1 yellow pebbles
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Explain whether the following graph represents a function. Why or why not?
A- yes each x-value has a unique y-value
b- yes each x-value has a y-value that is not negative
c- no there is no negative y-values
d- no the graph is not liner
Answer:
no x values repeat, so yes it is a function
Step-by-step explanation:
*
7. Match each quantity in the first list with an appropriate unit of measurement from the second list.
A. the perimeter of a baseball field
B. the area of a bed sheet
C. the volume of a refrigerator
D. the surface area of a tissue box
E. the length of a spaghetti noodle
F. the volume of a large lake
G. the surface area of the moon
1. centimeters (cm)
2. cubic feet (cu ft)
3. cubic kilometers (cu km)
4. meters (m)
5. square feet (sq ft)
6. square inches (sq in)
7. square kilometers (sq km)
A
B
с
D
E
LL
G
which unit of measurement
(1-7) is appropriate?
The solution is
A. The perimeter of a baseball field - 4. Meters (m)
B. The area of a bed sheet - 5. Square Feet (sq ft)
C. The volume of a refrigerator - 2. Cubic Feet (cu ft)
D. The surface area of a tissue box - 6. Square Inches (sq in)
E. The length of a spaghetti noodle - 1. Centimeters (cm)
F. The volume of a large lake - 3. Cubic Kilometers (cu km)
G. The surface area of the moon - 7. Square Kilometers (sq km)
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
a)
The perimeter of a baseball field is represented by 2 ( Length + Width ) and is expressed in Meters (m)
b)
The area of a bed sheet is represented by Length x Width and is expressed in Square Feet (sq ft)
c)
The volume of a refrigerator is represented by Length x Width x Height and is expressed in Cubic Feet (cu ft)
d)
The surface area of a tissue box is represented by Base x Length and is expressed in Square Inches (sq in)
e)
The length of a spaghetti noodle is the total length and is expressed in Centimeters (cm)
f)
The volume of a large lake is the amount the lake can occupy and is expressed in Cubic Kilometers (cu km)
g)
The surface area of the moon is represented by area in km and is expressed in Square Kilometers (sq km)
Hence , the equations are solved
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Pamela had $17. She bought 7 burgers for $5.50 and 2 kilograms of orange for $5.30. Find the remaining amount she has now.
$4.20
$5
$6
$6.20
Answer:
$ 6.20 Cents
Step-by-step explanation:
17 - 5.50= 11.5
11.50 - 5.30= 6.2
Add A Zero at the end
You Get 6.20
How much is 10% of 10 liters of milk?
Answer:
go to math papa dot com. he will give you the answers . trust me . algebra is not fun...
using the disk method, determine the volume of a solid formed by revolving the region bounded above by the line , on the left by the line , on the right by the curve , and below by the line the about the -axis.
The volume of a solid formed by revolving the region bounded above by the line is (932π/15)
To use the disk method, we need to integrate over the axis of revolution, which is the y-axis in this case. We can break the solid into vertical disks of thickness dy.
The radius of each disk is given by the distance between the y-axis and the curve \(x = y^2 - 1\). So the radius is:
\(r = y^2 - 1\)
The height of each disk is the difference between the y-coordinate of the top curve y = 3 and the y-coordinate of the bottom curve y = 1. So the height is:
h = 3 - 1 = 2
The volume of each disk is then:
\(dV = \pi r^2h dy\)
Substituting r and h, we have:
\(dV = \pi (y^2 - 1)^2 (2) dy\)
To find the total volume, we integrate over the range of y from 1 to 3:
\(V = \int_{1}^{3} \pi(y^2 - 1)^2 (2) dy\)
This integral can be simplified by expanding the squared term:
\(V = \int_{1}^{3} \pi (y^4 - 2y^2 + 1) (2) dyV = 2\pi \int_{1}^{3}(y^4 - 2y^2 + 1) dyV = 2\pi [(1/5)y^5 - (2/3)y^3 + y]^3_1\)
V = \(2\pi [(1/5)(3^5 - 1^5) - (2/3)(3^3 - 1^3) + (3 - 1)]\)
V = 2π [(1/5)(242) - (2/3)(26) + 2]
V = 2π [(242/5) - (52/3) + 2]
V = 2π [(726/15) - (260/15) + 30/15]
V = 2π [(466/15)]
V = (932π/15)
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Note: The full question is
Use the disk method or the shell method to find the volumes of the solids generated by revolving the region bounded by the graphs of the equations about the given lines. y = 1, y = 3, x = y^2 - 1.
6x−5(6x+39)=−75 solve for X
Solution of the equation 6x−5(6x+39)=−75 is x=5.
What is an equation?Two algebraic expressions having same value and symbol '=' in between are called as an equation.
We have the equation,
6x−5(6x+39) = −75.
In order to solve the equation for x:
We will find the value of x.
First, we solve parenthesis.
6x−5(6x+39) = −75
6x - 30x - 195 = -75
Taking constant terms to the right side of the equation,
6x - 30x = 195 - 75
-24x = 120
x = -120 / 24
x = -5
This is the required solution.
Therefore, The value of x is 5.
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It says write each number in standard notation 2.350 × 10^-4:6.5 × 10^-3:7.07 × 10^-5:
To write the expressions in standard notation we need to follow this rule:
• When we multiply by a power of 10 we will move the decimal point to the right if the exponent of the 10 is a positive number and to the left, if the exponent of the 10 is a negative number.
We start with the first expression:
\(2.350\times10^{-4}\)Since the exponent of 10 is negative, we will move the decimal point to the left. And we move it the number of times that the exponent indicates: 4
The following image shows the result after moving the decimal place:
As you can see we have moved the decimal point 4 places to the left and it is important to fill the spaces with 0.
Thus:
\(2.350\times10^{-4}=0.0002350\)Now we solve the second expression:
\(6.5\times10^{-3}\)Again the exponent of 10 is negative so we will move the decimal point to the left the number of times the exponent indicates: 3 times.
The following image shows the result after moving the decimal point:
Thus:
\(6.5\times10^{-3}=0.0065\)Finally, we solve the third expression:
\(7.07\times10^{-5}\)We will move the decimal point 5 times to the left:
And again we have filled the blank spaces with 0.
The result is:
\(7.07\times10^{-5}=0.0000707\)Answer:
\(\begin{gathered} 2.350\times10^{-4}=0.0002350 \\ 6.5\times10^{-3}=0.0065 \\ 7.07\times10^{-5}=0.0000707 \end{gathered}\)
A farmer harvests 15 cucumbers for every 45 carrots. Which of the following ratios represents the ratio of cucumbers to carrots, in simplest form? 4 3 please help
Answer:
1 : 3.
Step-by-step explanation:
15 : 45
Divide both numbers by 15 , we get:
1 : 3.