Answer:
The answer is
m<p =66°21'14"
m<R =37°38'46"
PR =28,6
Step-by-step explanation:
\( {pr}^{2} = {18}^{2} + {27}^{2} - 2 \times 18 \times 27 \cos(76) = 817.85 \\ pr = 28.6 \\ \cos(p) = \frac{ {18}^{2} + {28.6}^{2} - { {27}^{2} } }{2 \times 18 \times 28.6 } = 0.4 \\ m < p = 66.42 \\ m < r = 180 - 76 - 66.42 = 37.58\)
Please help me omg i will mark brainliest (look at the picture i inserted)
Answer:
5/16=s/32
Step-by-step explanation:
What we know:
- a school team has 80 swimmers
The ratio of 7th grade swimmers to every swimmer in their school (counting all the grades) is 5:16. Write a proportion of this for a value of s.
a ratio can also be expressed in a fraction by simply putting it from x:y to x/y
so, the ratio 5:16 can also be expressed as 5/16.
note: let sgs represent seventh grade swimmers.
also, let x represent the value of the equivalent amount of swimmers (in the denominator that serves as a value for the proportion of 5/16.
we need to find:
5 sgs/16 swimmers = s amount of sgs/x
5/16=s/x
equivalent fractions could literally be anything, just multiply that ratio by a value equal to one; ex 4/4, or 16/16, or 2/2.
the simplest proportion is to multiply 5/16 by 2/2.
5/16*(2/2)=s/x
10/32=s/x
so s=10 and x=32 but we only need to know x cuz your problem doesn't have a box to answer the s=10.
so... 5/16=s/32.
A truck dropped off milk at two stores. It used 16 gallons of gas to drive to the first store and 6 gallons to drive to the second. How many gallons of gas did the truck use?
Answer:
22 gallons of gas
16+6=22
Step-by-step explanation:
can i please have brainliest
Order the cones described below from least to greatest volume. Cone 1: radius 4 cm and height 12 cm Cone 2: radius 8 cm and height 6 cm Cone 3: radius 6 cm and height 7 cm
Answer:
Cone 1 ⇒ Cone 3 ⇒ Cone 2
Step-by-step explanation:
V=πr²h /3
V cone1 = 3.14*4²*12/3= 200.96 cm³V cone2 = 3.14*8²*6/3 = 401.92 cm³V cone3 = 3.14*6²*7/3= 263.76 cm³Order the cones from least to greatest volume
Cone 1 ⇒ Cone 3 ⇒ Cone 2A racing car can complete an 700 m long lap in 14 s. What is the speed of the
car?
Answer:
\(\boxed {\tt 50 \ m/s}\)
Step-by-step explanation:
To find the speed, divide the distance by the time. We can use the following formula:
\(s=\frac{d}{t}\)
The racing car completed a 700 meter lap in 14 seconds. So, the distance is 700 meters and the time is 14 seconds.
\(d= 700 \ m \\t= 14 \ s\)
Substitute the values into the speed formula.
\(s=\frac{700 \ m }{14 \ s}\)
Divide.
\(s= 50 \ m/s\)
The speed of the racing car is 50 meters per second
Answer:
The answer is 50 m/sStep-by-step explanation:
The speed of an object can be found by using the formula
\(v = \frac{d}{t} \\ \)
where
v is the speed
d is the distance
t is the time
From the question
d = 700 m
t = 14 s
We have
\(v = \frac{700}{14} \\ \)
We have the final answer as
50 m/sHope this helps you
A psychologist conducts a study and finds that d = -63. This effect size would most likely be described as small medium large an error because d cannot be negative
d)An error because d cannot be negative.
According to the data, effect sizes such as Cohen's d typically range from 0 to positive values, and negative values do not make sense in this context. Therefore, an effect size of d = -63 is likely an error or a typo.
Assuming that the correct effect size is a positive value, the magnitude of the effect size can be described as follows based on Cohen's convention:
A small effect size is around d = 0.2A medium effect size is around d = 0.5A large effect size is around d = 0.8 or higherHowever, it's important to note that the interpretation of effect sizes also depends on the context and the specific field of study.
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What is the total surface area of the rectangular prism in square feet?39.25 ft?© 45 ft?B 78.5 ft?DNot here
We have that the total surface area of the rectangular prism is:
\(\begin{gathered} A_T=\text{ 2(4.5ft }\cdot\text{ 4ft) + 2(4.5 ft }\cdot\text{ 2ft)} \\ =2(18ft^2)+2(9ft^2) \\ =36ft^2+18ft^2 \\ =54ft^2 \end{gathered}\)So the answer is 54 ft^2.
5^5=5x5x5x5x5=
i put 3125 but it wont work can someone help me with this
Answer: 4 i think
Step-by-step explanation:
Find the common difference or common ratio of the sequence -8.2,-8.4,-8.6,....?
A. r = -0.2
B. r = 0.2
C. d = -0.2
D. d = 0.2
A number his tripled and then decreased by 10
Answer:
3n-10
Step-by-step explanation:
n is the number it could be any other letter
hope this helps :)
What is the answer to this
Answer:
9.42478
Step-by-step explanation:
Answer:
9.42 cm^3
Step-by-step explanation:
Which ordered pair is a solution to the equation? -7x+3y=2
Answer:
(-7, 3) i think, not 100% sure
Step-by-step explanation:
Answer:
Both (1,3) and (-2,-4)
Step-by-step explanation: i got it right in Khan Academy (n˘v˘•)¬
hope it helps!
Linear Algebra
If A, B, and C are nxn invertible matrices, does the equation C-1(A+X)B-1=In have a solution, X? if so, find it
Yes, the equation C-1(A+X)B-1=In has a solution, X. To find the solution, first use C-1(A+X)B-1=In to simplify to C-1 AB-1=In+X. Next, use matrix multiplication to expand C-1AB-1 to In+X = AC-1B-1-B-1C-1. Subtract In from both sides of the equation to get X=AC-1B-1-B-1C-1-In. This is the solution for X, where A, B, and C are nan invertible matrices.
Given that A, B, and C are invertible nan matrices, we have to check if the equation C-1(A+X)B-1=In has a solution or not, and if there is a solution, we have to find X.
Let's solve it. Let's multiply both sides of the equation by B and C, respectively, we get C-1(A+X)B-1B = IB and C-1(A+X) = B. Now, we have to multiply both sides by C on the left, so we get C*C-1(A+X) = CB, which becomes A+X = CB.
Now we have to multiply both sides by B-1 on the right, so we get A + XBB-1 = CBB-1, which becomes A + XB-1 = CB-1.Now, we have to multiply both sides by C-1 on the left, so we get C-1A + C-1XB-1 = I.
Now, we have to multiply both sides by B and C, respectively, which results in C-1AC-1B + XC-1B = B. Finally, X = B(C-1AC-1B)B-1 - C-1B + I. We know that if A and B are matrices of the same order, then (AB)-1 = B-1A-1. By using this property, we can write the solution as X = B-1(A-1 + C-1)-1B-1 - C-1B + I. So, the solution exists for the given equation.
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Select the correct answer. Determine which equation has the same solutions as the given equation. 2x2 − 12x − 50 = 0 A. (x − 3)2 = 16 B. (x − 6)2 = 31 C. (x − 6)2 = 19 D. (x − 3)2 = 34
Option D is correct, (x-3)²=34 is the equation has the same solutions as the given equation.
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
The given equation is 2x² − 12x − 50 = 0
Let us solve this by using complete square method.
Add 50 on both the sides
2x² − 12x = 50
Divide both sides by 2
x² − 6x = 25
Now x² − 6x can be written as x² − 6x+3²-3²
(x-3)²-9=25
Add 9 on both sides
(x-3)²=34
Hence, Option D is correct, (x-3)²=34 is the equation has the same solutions as the given equation.
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Draw the image of ABC under a dilation whose center is P and scale factor is 1/3
Answer:
there
Step-by-step explanation:
Answer:
khan
Step-by-step explanation:
leirbe the vector with magnitude |vi|l = 89.5 at an angle of 305° from the positive x axis. Find the component form of vector v.
a) v=<-73.3,51.3>
b) v=<73.3,-51.3>
c)v=<-51.3,73.3>
d) v=<51.3,-73.3>
The required component form of the vector V is given as v=<51.3,-73.3>. Option D is correct.
What is vector?Vector is defined as property of object that describes both magnitude and direction of object when in motion is called vector.
here,
|V| = 89.5
and Ф = 305
now,
x component = |V| cos305°
= 89.5×cos305° = 51.3
y component = |V| sin305°
= 89.5×sin305° = -73.3
Thus, the required component form of the vector is given as v=<51.3,-73.3>. Option D is correct.
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One person takes $3 worth of crayons and another person takes $5 worth of crayons. 20 crayons for $1. How many red crayons were bought?
Answer:
160
add $3 and $5
then multiply $8 and 20 since $1 equals 20
Step-by-step explanation:
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Who ever is reading this:
I love u.
U matter.
The world needs u
hang in there ik it may be bad but u deserve the world <3
ur beautiful no matter ur shape, size, color, gender.. anything
don't give up i need u to live.
i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me
Pls pass this on. Everyone deserves to know this. ♥️♥️
just copy and paste its not hard pls this could save someones life
Answer:
160 crayons
Step-by-step explanation:
20 crayons - $1
? crayons - $3, $5
20 x 3 = 60
60 crayons - $3
20 x 5 = 100
100 crayons - $5
100 + 60 = 160
160 crayons were bought in all.
Hope this helps!
Simplify the expression. Write the final form with no fractions.
Answer:
(cot x + 6) / cos x Or (sin x + 6)/cos x
Step-by-step explanation:
We start with the expression:
(cot^2 x + 12 cot x +36)/ (cos x *cot x + 6 cos x)
We can factor the numerator:
(cot^2 x + 12 cot x +36) = (cot x + 6)^2
Now we can rewrite the denominator as:
cos x * cot x + 6 cos x = cos x * (cot x + 6)
We can substitute these expressions into the original expression:
(cot^2 x + 12 cot x +36)/ (cos x *cot x + 6 cos x) = (cot x + 6)^2 / (cos x * (cot x + 6))
We can simplify further by canceling out the common factor of
(cot x + 6):
(cot x + 6)^2 / (cos x * (cot x + 6)) = (cot x + 6) / cos x
Therefore, the simplified expression with no fractions is:
(cot^2 x + 12 cot x +36)/ (cos x *cot x + 6 cos x) = (cot x + 6) / cos x
Alternatively, we can write the simplified expression in a more expanded form:
(cot^2 x + 12 cot x +36)/ (cos x *cot x + 6 cos x) = (cot x/cos x + 6/cos x)
Using the identity cot x = cos x/sin x, we can rewrite the first term:
cot x/cos x = cos x/sin x * 1/cos x = sin x/cos x
Now we have:
(cot^2 x + 12 cot x +36)/ (cos x *cot x + 6 cos x) = (sin x/cos x + 6/cos x)
Combining the two terms, we get:
(sin x/cos x + 6/cos x) = (sin x + 6)/cos x
Therefore, another possible simplified expression with no fractions is:
(cot^2 x + 12 cot x +36)/ (cos x *cot x + 6 cos x) = (sin x + 6)/cos x
what is the area of a semicircle that has a radius of 30 feet
Answer:
1413 sq ft.
Step-by-step explanation:
Area of a semicircle=(1/2)*πr²
Radius=30ft
A=(1/2)*3.14*30²=1413 sq ft.
EOQ Model
Suppose during your college life, every year you need $5,000 cash to spend in addition to the studying expenses. Each time in need of cash, you decide to go to the bank for that. And the transportation costs you $5 (assumed amount) of going to the bank and coming back. Assume that the current saving/checking link account has an interest rate of 5%. Please find the optimal solution of the amount of cash each time for the withdraw.
The optimal solution for the amount of cash to withdraw each time to minimize transportation costs and maximize interest earnings is determined by calculating the Economic Order Quantity (EOQ) using the formula Q = √((2 * C * T) / r), and rounding the result to a convenient amount.
The Economic Order Quantity (EOQ) model is typically used for inventory management, not for optimizing cash withdrawals. However, if we assume that the question is seeking an optimal withdrawal strategy to minimize transportation costs and maximize interest earnings, we can approach it as follows:
Let's denote:
C = Annual cash need ($5,000)
T = Transportation cost per visit ($5)
r = Annual interest rate (5%)
To find the optimal solution for the amount of cash to withdraw each time, we can consider the trade-off between transportation costs and interest earnings. The objective is to minimize the total cost.
Calculate the optimal order quantity (Q) using the EOQ formula:
Q = √((2 * C * T) / r)
Round the calculated Q to the nearest convenient amount, such as multiples of $100 or $500.
The optimal solution would be to withdraw the rounded Q amount each time to minimize transportation costs while still meeting the annual cash need.
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Which of the following are written in point-slope
form?
a) y + 2 = -9(x + 3)
b) y - 7 = 5(x + 1)
c) x - y = -3
d) y = -x +6
Answer:
y + 2 = -9(x + 3) and y - 7 = 5(x + 1)
Step-by-step explanation:
\(\text{Point-Slope form is:}\\\\y-y_1=m(x-x_1)\\\\\text{m - slope}\\\\(x_1,y_1) \text{ - a point}\)
----------------------------------------
\(\text{Options A and B are written in point-slope form.}\\\\\\y+2 =-9(x+3)\\\\\text{The slope is -9 and the point used is (-3, -2).}\\\\\\y-7=5(x+1)\\\\\text{The slope is 5 and the point used is (-1, 7).}\)
-----------------------------------------
\(\text{Option C is written in Standard Form.}\\\\Ax+By=C\\\\\\\text{Option D is written in Slope-Intercept Form.}\\\\y=mx+b\\\\\text {m - slope}\\\\\text{b - y-intercept}\)
Hope this helps.
Arnold is planning on painting a mural. Before painting the mural, Arnold painted the picture on a paper that is 5 inches wide and 11 inches tall. Arnold is using a scale in which 12 inch represents 1 foot to paint the mural.
How wide and tall will the actual mural be?
Drag and drop the height and width of the actual mural into the boxes.
Mural Height Mural Width
2.5 5.5 10 22
Answer: Mural height: 22ft and the Mural width is 10ft
Step-by-step explanation: I took the test and got it wrong, but they told me the correct answers after I took the test. (I got to K-12) Proof:
Taylor has a points card for a movie theater.
She receives 75 rewards points just for signing up.
She earns 6.5 points for each visit to the movie theater.
She needs at least 100 points for a free movie ticket.
Which inequality can be used to determine v, the minimum number of visits Taylor needs to earn her first free movie ticket?
The inequality used to determine v, the minimum number of visits Taylor needs to earn her first free movie ticket is 75 + 6.5v ≥ 100.
What are Linear Inequalities?Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.
Given,
Points for signing up = 75 points
Points for each visit to the movie theater = 6.5 points
Let v be the minimum number of visits Taylor needs to earn her first free movie ticket.
Points earned for v visits = 6.5v
She needs at least 100 points for a free movie ticket.
75 + 6.5v will be the points she earn for a free movie ticket.
This expression must be greater than 100, which is the required points for a free movie.
75 + 6.5v ≥ 100
Hence the inequality representing the situation is 75 + 6.5v ≥ 100.
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Can you help me to do this please?Finding the inverse of each function
Let
\(y=-\frac{3}{x+1}+2\)Find the equation in terms of y in the form x = f(y).
\(\begin{gathered} y-2=\frac{-3}{x+1} \\ x+1=\frac{-3}{y-2} \\ x=\frac{-3}{y-2}-1 \end{gathered}\)Replace y by x in the right hand side, which will be the required inverse of the function.
\(g^{-1}(x)=-\frac{3}{x-2}-1\)4y^5-6y+8y^2-1 for y = -1
Answer:9
Step-by-step explanation:
A sales person makes $200 each week plus an
additional $24 per sale. This sales person wants their
weekly paycheck to be at least $500.
7. Which inequality could be used to solve for how many sales (s) the salesperson will have to make to reach or exceed their goal?
24s + 200≥ 500
24s + 200 > 500
24s + 200 ≤ 500
245 + 200 < 500
Answer:
24s+ 200 ≥ 500
Step-by-step explanation:
Let s be the number of sales
200 + 24s is the amount that they will make
They want to make at least 500 so the amount they make must be greater than or equal to 500
200 + 24s≥ 500
Changing the order on the left side
24s+ 200 ≥ 500
On a plane, 2/5 of the passengers were British. 30% of the British passengers were men. There were 36 British men on the plane. Find the total number of passengers on the plane
Answer:
76 passengers
Step-by-step explanation:
100-36 is 64 and that makes 64 + 36 =100-30 is 70% and we have 36 + 40 =76
There were 300 passengers.
What is Algebra?Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions.
Given:
Fraction of British = 2/5
Percent of British men = 30%
Number of British men = 36
let the British passenger be x
30 /100 * x= 36
x=120
and let the total passenger by y
2/5 of y = 120
y= 120 * 5/2
x= 300
Hence, there were 300 passengers.
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The breaking strengths of a random sample of 20 bundles of wool fibers have a sample mean 436.5 and a sample standard deviation 11.9. (a) Construct 90%, 95%, and 99% confidence intervals for the average breaking strength of the wool fibers. (b) Compare the widths of the three confidence intervals. At which level of confidence do you have the widest interval
(a) Construct confidence intervals are : 90%: [428.95, 444.05], 95%: [427.13, 445.87], 99%: [423.67, 449.33].
(b) The 99% confidence interval has the widest interval.
(a) To construct confidence intervals for the mean breaking strength of the wool fibers, we shall use the given formula:
Confidence interval = sample mean ± (critical value * standard error)
The critical value here will depends on the level of confidence. For a 90% confidence level, the critical value is 1.645 (from the standard normal distribution). For a 95% confidence level, the critical value is 1.96, and for a 99% confidence level, the critical value is 2.576.
Standard error is obtained by dividing the sample standard deviation by the square root of the sample size.
Plugging in the values, we can calculate the confidence intervals:
90% confidence interval:
Lower bound = 436.5 - (1.645 * (11.9 / √20))
Upper bound = 436.5 + (1.645 * (11.9 / √20))
95% confidence interval:
Lower bound = 436.5 - (1.96 * (11.9 / √20))
Upper bound = 436.5 + (1.96 * (11.9 / √20))
99% confidence interval:
Lower bound = 436.5 - (2.576 * (11.9 / √20))
Upper bound = 436.5 + (2.576 * (11.9 / √20))
(b) The width of a confidence interval depends on both the critical value and the standard error. When aiming for a higher level of confidence, the interval becomes wider as it requires a larger critical value. Consequently, it can be concluded that among the given confidence intervals, the one with a 99% confidence level will have the broadest range.
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Whoever get this right, gets a free hamster
Answer:
it's C
Step-by-step explanation:
pink or purple hamster plz :D
omg paint strips, that's the way to go
can somone help plz i need help
Answer:
about 7.3 units
Step-by-step explanation:
to find the answer you do Pythagorean theorem
so you have (-9, -4) and (-2, -6)
you do X1-X2 and Y1-Y2
so -4-(6)=2
and -9-(-2)= -7
now you do a^2 + b^2 = C^2
so 2^2 + -7^2 = C^2
which is 4 + 49= C^2
53=C^2
√53=7.3
so 7.3 units :)
Consider the following general equation for the dynamics of a renewable resource: St+1=St-Qt + ASt As long as it is always the case that S, > Qt, one may assume that the resource S, is growing over time. (circle one answer) A. True B. False C. Uncertain
A. True . As long as S > Qt, one may assume that the resource S is growing over time. If the amount of harvesting is greater than the amount of the resource, the resource may begin to decline in size over time.
The equation given for the dynamics of a renewable resource, St+1=St-Qt + ASt, shows that the resource is influenced by both harvesting (Qt) and growth (ASt). As long as the amount of harvesting (Qt) does not exceed the amount of the resource (S), the resource will continue to grow over time. This is because the growth term (ASt) is always positive, meaning that the resource will increase in size as long as it is not depleted faster than it can grow.
The given equation, St+1=St-Qt + ASt, is a general model for the dynamics of a renewable resource. It describes how the resource changes over time, taking into account both harvesting and growth. The term St represents the amount of the resource at time t, and St+1 represents the amount of the resource at the next time step. The term Qt represents the amount of the resource that is harvested at time t, and ASt represents the amount of the resource that grows over the same time period. If we assume that S > Qt, meaning that the amount of harvesting is less than the amount of the resource, we can see that the resource will continue to grow over time. This is because the growth term (ASt) is always positive, meaning that the resource will increase in size as long as it is not depleted faster than it can grow. In other words, if the amount of harvesting is less than the amount of growth, the resource will increase in size over time.
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