Let us begin by expresing all the numbers in the same unit.
A = 13.5
\(\begin{gathered} B=-\frac{26}{2} \\ B=-13 \end{gathered}\)\(\begin{gathered} C=-\sqrt[]{9} \\ C=-3 \end{gathered}\)\(D=0\)\(undefined\)ANSWER PLS HELP NOW PLS
The function B is defined by the equation B(x)=10x+25
Find the value of each expression:
B(6)=
B(2.75)=
B(1.482)=
Solve each equation:
B(x)=93; x=
B(x)=42.1; x=
B(x)=116.25; x=
10(6) + 25 = 60 + 25 = 85
10(2.75) + 25 = 27.5 + 25 = 52.5
10(1.482) + 25 = 14.82 + 25 = 39.82
93 = 10x + 25 || 68 = 10x || x = 6.8
42.1 = 10x + 25 || 17.1 = 10x || x = 1.71
116.25 = 10x + 25 || 91.25 = 10x || x = 9.125
The value of each expression is given below,
B(6)=85
B(2.75)=52.5
B(1.482)=39.82
Value of x for each expression,
B(x)=93; x=6.8
B(x)=42.1; x=1.7
B(x)=116.25; x=9.125
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given expression is B(x)=10x+25.
The value of each expression will b calculated as,
10(6) + 25 = 60 + 25 = 85
10(2.75) + 25 = 27.5 + 25 = 52.5
10(1.482) + 25 = 14.82 + 25 = 39.82
93 = 10x + 25 || 68 = 10x || x = 6.8
42.1 = 10x + 25 || 17.1 = 10x || x = 1.71
116.25 = 10x + 25 || 91.25 = 10x || x = 9.125
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In right triangle ABC, angle c is a right angle and sin A= sin B. What is m
which
In plane trigonometry, the sine theorem or also known as the law of sines is a ratio between the lengths of the sides of a triangle and the sines of their corresponding opposite angles.
it is
\(\frac{a}{\sin A}=\frac{b}{\sin B}\)According to the question Sin A=Sin B, so
\(a=b\)wich means that this right traingle has two equal sides
if the two sides of a right triangle have the same length, then, they form the same angle with the hypotenuse
also, the question says that C=90 °
we know the sum of the internal angles on a triangle must be 180 °,then
\(\begin{gathered} A+B+C=180 \\ A=B \\ 2A+C=180 \\ A=\frac{180-C}{2} \\ A=\frac{90}{2} \\ A=45\text{ \degree} \\ B=45\text{\degree} \end{gathered}\)so the answer is B)45 °
If f(x)=9x+2, for what value of x is the value of the function 29?
Answer:
The answer is 3.
Step-by-step explanation:
In oder to find the value of x you have to let f(x) = 29 :
\(f(x) = 9x + 2\)
Let f(x) = 29
\(9x + 2 = 29\)
Next, you have to solve x by substracting 2 and divide 9 to both sides :
\(9x + 2 = 29\)
\(9x + 2 - 2 = 29 - 2\)
\(9x = 27\)
\(9x \div 9 = 27 \div 9\)
\(x = 3\)
Answer:
Answer shown below.
Step-by-step explanation:
For 29;
It means f(x)= 9x + 2 =29
Therefore; 9x =29-2=27
9x = 27
X=27/9
x=3
Find the value of each variable. Round to the nearest tenth, if necessary.
16.7, 6.7 and 22 degrees respectively are the measures of a, c and m<C
Solving trigonometry identityThe given diagram is a triangle with the following sides
Hypotenuse = AC = 18
m<A = 68 Degrees
We need to determine the measure of a, b and m<C
Using the trigonometry identity
sin 68 = a/18
a = 18sin68
a = 16.7
Similarly;
cos68 = c/18
c = 18cos68
c = 6.7
Since the sum of angles in a triangle is 180 degrees, hence:
m<C = 90 - m<A
m<C = 90 - 68
m<C = 22 degrees
Hence the measure of a, c and m<C is 16.7, 6.7 and 22 degrees respectively.
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3. The graph at the right shows
Lanna's total distance in miles
for each day she is training for a marathon. What is her distance on
day 10?
A.21 miles C.30 miles
B. 27 miles D.33 miles
Answer:
30 miles
Step-by-step explanation:
there is three miles per day so u count by 3 up to ten days and you’ll get 30 (10,30) option c
A total of 76 groom's guests and 64 bride's guests attended a wedding. The bride's guests used 96 tissues. The groom's guests used 152 tissues. Calculate approximately how many tissues each bride's guest used.
Answer:
The tissues each bride's guest used is 1.5.
Step-by-step explanation:
We are given that a total of 76 groom's guests and 64 bride's guests attended a wedding. The bride's guests used 96 tissues. The groom's guests used 152 tissues.
We have to find that approximately how many tissues each bride's guest used.
As we know that whenever we have to find the value of 'each item', we have to use division.
Number of bride's guests who attended a wedding = 64
Number of tissues used by the bride's guests = 96
So, the tissues each bride's guest used = \(\frac{\text{Total tissues used by bride's guests}}{\text{Total number of bride's guests}}\)
= \(\frac{96}{64}\)
= \(\frac{3}{2}\) = 1.5
Hence, each bride's guest used approximately 1.5 tissues.
Please help I have trouble on these...
The value of a is 5, b is 4, c is 0, d is 3, e is 6 and R is 6 after following the long division method.
According to the question,
We have to divide 430 by 8 by following the long division method.
Note that when we follow long division method then the number by which we are dividing (divisor) is to be multiplied in such a way that the result remains less than the number in the dividend.
Now, we will solve it step by step.
In dividing 43 by 8, we have to multiply 8 by 5. Then, we get 40.
So, we have a = 5, b = 4 and c = 0.
Now, after this we have 30 and the number that we get after multiplication is 24. So, 3 has to be multiplied in 8 to get 24.
So, we have d = 3.
Now, when we will subtract 24 from 30, we will get 6.
So, we have e = 6.
And e is also the remainder, R. So, we have R = 6.
Hence, the values of a, b, c, d, e, and R are 5, 4, 0, 3, 6, and 6 respectively.
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f A and B are arbitrary real m x n matrices, then the mapping ⟨A,B⟩=trace(ATB) defines an inner product in Rmxn. Use this inner product to find ⟨A,B⟩, the norms ||A|| and ||B||, and the αAB between A and B for
the inner product ⟨A,B⟩ = 582, the norms ||A|| = √67 and ||B|| = √1009, and the angle αAB between A and B is approximately 0.903 radians or 51.74 degrees
Using the inner product defined as ⟨A,B⟩=trace(ATB), we can find the values of ⟨A,B⟩, ||A||, ||B||, and αAB for any real m x n matrices A and B.
First, let's find ⟨A,B⟩:
⟨A,B⟩ = trace(ATB)
Now, let's find the norms ||A|| and ||B||:
||A|| = √(⟨A,A⟩) = √(trace(A^{TB}))
||B|| = √(⟨B,B⟩) = √(trace(B^{TB}))
Next, let's find the angle αAB between A and B:
cos αAB = ⟨A,B⟩ / (||A|| ||B||)
sin αAB = ||A x B|| / (||A|| ||B||)
where A x B is the cross product of A and B.
Now, let's apply these formulas to find the values of ⟨A,B⟩, ||A||, ||B||, and αAB for some arbitrary real m x n matrices A and B:
Suppose that A = [1 2 3; 4 5 6] and B = [7 8 9; 10 11 12; 13 14 15]. Then,
⟨A,B⟩ = trace(ATB)
= trace([1 4; 2 5; 3 6][7 8 9; 10 11 12; 13 14 15])
= trace([74 80 86; 173 188 203; 272 296 320])
= 582
To find the norms ||A|| and ||B||, we first need to find A^{TA} and B^{TB}:
A^{TA} = [1 4; 2 5; 3 6][1 2 3; 4 5 6]
= [26 32; 32 41]
B^{TB} = [7 10 13; 8 11 14; 9 12 15][7 8 9; 10 11 12; 13 14 15]
= [279 306 333; 306 335 364; 333 364 395]
Then, we can find ||A|| and ||B||:
||A|| = √(trace(A^{TA}))
= √(26 + 41)
= √67
||B|| = √(trace(B^{TB}))
= √(279 + 335 + 395)
= √1009
To find the angle αAB between A and B, we need to find A x B first:
A x B = [1 2 3; 4 5 6] x [7 8 9; 10 11 12; 13 14 15]
= [-18 -18 -18; -9 -9 -9]
Then, we can find cos αAB and sin αAB:
cos αAB = ⟨A,B⟩ / (||A|| ||B||)
= 582 / (√67 √1009)
≈ 0.903
sin αAB = ||A x B|| / (||A|| ||B||)
= 27 / (√67 √1009)
≈ 0.327
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Answer this question please
Answer:
[-13,∞)
Step-by-step explanation:
x ≥ -13
x ≥ -13
Convert the inequality to interval notation.
[-13,∞)
I need help on the problem!! please
Answer:
choice 2) 1/4(n - 64)
Step-by-step explanation:
1/4n - 16 = 1/4(n - 64)
ANSWER ASAP DONT SEND A FILE. IS THIS SHAPE A ROTATION, REFLECTION,TRANSLATION, DILATION OR NONE????
Answer:
the answer is none
Step-by-step explanation: It's not the same shape so it can't be either of these choices.
Answer:
none!
Step-by-step explanation:
not same shape
Write 4.83…. (The 3 repeats infinitely)as a mixed number
Answer:
\(4\frac56\)
Step-by-step explanation:
\(\frac56=0.8 \dot{3}\)
\(\implies 4.8 \dot{3}=4\frac56\)
4 5/6 if you need more answers go to decimal converts fractions and you will have it on your own
have a wonderful day
Hailey lee
In the month of May 2019, Norfolk International Airport had approximately 360,000 passengers. In the month of May 2020, they had approximately 46,000 passengers. What is the percent of change in the number of passengers from May 2019 to May 2020? Round your answer to the nearest whole percent.
Answer:
87% decrease (rounded to nearest whole percent)
Step-by-step explanation:
Change = 360,000 - 46,000
= 314,000
Percent of change = \(\frac{314,000}{360,000}\) × 100%
= 87% (rounded to nearest whole percent)
What is the volume of a triangular pyramid, with a base area of 12 square centimeters and height of 8 centimeters? Enter your answer in the box.
________ cm³
???
Step-by-step explanation:
To find the volume of triangular pyramid we are given two parameters that is base area of pyramid and height which is required,
Volume of pyramid given by:-
V = 1/3*bh
V = 1/3*12*8
V = 4*8
V = 32cm³
Hence the volume of triangular pyramid is 32cm³
Taylor is going to an amusement park. The price of admission into the park is $10,
and once she is inside the park, she will have to pay $5 for every ride she rides on.
How much money would Taylor have to pay in total if she goes on 14 rides? How
much would she have to pay if she goes on r rides?
Cost for 14 rides:
Cost for r rides:
3xy(2xy−y2)−2yz(yz−zx)+3yx(z−x)
solve this math please with explanation
Answer:
the answer is 3x + 7x = (3 + 7)x = 10x -5xy + 9xy = ( -5 + 9)xy = 4xy
Step-by-step explanation:
For each graphically defined function below, state the domain, the range, and the intervals over which the function is increasing, decreasing, or constant.
The domain of the function above is [-2, 3].
The range of the function above is [-2.5, 2].
The intervals over which the function is increasing is [-2, 1.5] U [-2.5, 2].
The intervals over which the function is decreasing is [1.5, -2.5].
What is a domain?In Mathematics and Geometry, a domain refers to the set of all real numbers for which a particular function is defined.
Furthermore, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.
By critically observing the graph of this rational expression (function) shown in the image attached below, we can reasonably and logically deduce the following domain and range:
Domain = [-2, 3] or -2 ≤ x ≤ 3.
Range = [-2.5, 2] or -2.5 ≤ y ≤ 2.
Additionally, the intervals over which the function is increases over the interval [-2, 1.5] and [-2.5, 2], while it decreases over the interval [1.5, -2.5].
In conclusion, the given function is not constant over any interval.
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The graph shows information about the
height of the tide over 12 hours.
How fast is the depth changing at 11:00?
Give your answer as a fraction in its
simplest form.
According to the information we can infer that the change between 11 and 12 is 1.3 m/hr
How much does the height of the wave change between 11 and 12?To establish the value of the change in height between 11 and 12 we must look at the values of the y axis. According to this information we can establish that 11 o'clock coincides with 5.2 and 12 o'clock coincides with 3.9. So we must subtract these two values:
5.2 - 3.9 = 1.3According to the above, we can infer that the change between these two hours is 1.3 m/hr.
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DIRECTIONS: Circle the analogy that BEST matches the bold words.
1. QUART: GALLON
a) centimeter: meter
b) quart: cups
c) four: five
d) quarter: dollar
4. PENTAGON : POLYGON
a) rice : grain
b) aircraft: plane
c) five : sides
d) rhombus: circle
2. TRIMESTER : MONTHS
a) book: chapters
b) three: period
c) days: week
d) yearly: weekly
5. TRIDENT: THREE
a) spear : fork
b) Poseidon : Zeus
c) fishing : tool
d) duplex: two
Answer:
1. d)
4.a)
2.a)
5.d)
Step-by-step explanation:
What is the equation of the line in slope intercept form?
Answer:
y = x + 60
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (20, 80) and (x₂, y₂ ) = (40, 100) ← 2 points on the line
m = \(\frac{100-80}{40-20}\) = \(\frac{20}{20}\) = 1
the line crosses the y- axis at (0, 60 ) ⇒ c = 60
y = x + 60 ← equation of line
A fish descends 4 meters per minute for 2 minutes. Then it ascends 3 meters per minute for 3 minutes. What is the total distance, in meters, the fish traveled?
The fish's total distance traveled is 17 meters in 5 minutes based on multiplication and addition operations.
How is the total distance traveled determined?The total distance the fish traveled can be determined using mathematical operations, especially multiplication and addition.
We know that distance is the product of speed and time, i.e. d = st, where s is speed, t is time, and d is distance.
In this situation, we separately find the distance the fish traveled during its descent and ascent by multiplying time and speed.
The results are added to obtain the total distance the fish traveled for both activities.
The fish's descent speed = 4 meters per minute (MPM)
The total time for the descent = 2
The total distance for the descent = 8 miles (4 x 2)
The fish's ascent speed = 3 meters per minute (MPM)
The total time during ascent = 3 minutes
The total distance for the ascent = 9 miles (3 x 3)
The total distance the fish traveled for descent and ascent = 17 meters (8 + 9)
Thus, we can mathematically conclude that the fish traveled 17 meters.
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A plane can fly 300 miles in the same time as it takes a car to go 210 miles. If the car travels 90 mph slower than the plane, find the speed of the plane.
Answer:
210/{s 60}
Answer is this
Mark as brainlist
awnser the qusetion 9iu523hb5hn33
The order of the matrices of each product is given as follows:
AB is nonexistent, BA is nonexistent.
How to apply multiplication of matrices?Multiplication of matrices is applied multiplying the rows of the first matrix by the columns of the second matrix, and hence the number of columns of the first matrix must be equal to the number of rows of the second matrix.
For the product AB, we have that:
A has four columns.B has two rows.Hence the product is nonexistent.
For the product BA, we have that:
B has four columns.A has two rows.Hence the product is nonexistent.
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Find all solutions of the equation in the interval [0, 2π).
Answer:
x = pi/6
x = 11pi/6
x = 5pi/6
x =7pi/6
Step-by-step explanation:
2 sec^2 (x) + tan ^2 (x) -3 =0
We know tan^2(x) = sec^2 (x) -1
2 sec^2 (x) +sec^2(x) -1 -3 =0
Combine like terms
3 sec^2(x) -4 = 0
Add 4 to each side
3 sec^2 (x) = 4
Divide by 3
sec^2 (x) = 4/3
Take the square root of each side
sqrt(sec^2 (x)) = ±sqrt(4/3)
sec(x) = ±sqrt(4)/sqrt(3)
sec(x) = ±2 /sqrt(3)
Take the inverse sec on each side
sec^-1 sec(x) = sec^-1(±2 /sqrt(3))
x = pi/6 + 2 pi n where n is an integer
x = 11pi/6 + 2 pi n
x = 5pi/6 + 2 pi n
x =7pi/6 + 2 pi n
We only want the solutions between 0 and 2pi
Fill in the table using this function rule.
y=-3x-3
X
-2
-1
0
1
y
0
0
0
X
Ś
Answer:
X | y
---------------
-2 | 3
-1 | 0
0 | -3
1 | -6
Explain or show how you could find 5 ÷ 1/3 by using the value of 5x3.
Answer:
20
You could find 5/⅓
by using 5 × 3
Knowing that:
Any number multiplied by 1, gives the number itself.
Dividing any number by itself gives 1.
Writing 5/⅓ as 5/⅓ × 1 doesn't change the value.
Then I can write 5/⅓ as
5/⅓ × (5×3)/(5×3) = 1
This can become
[5×(5×3)] / [(⅓) × (5×3)]
= 75/(15/3)
= 75/5
= 15
or
12/ 3/5
= [12/ (3/5)] × [(5×3)/(5×3)]
= 12×(5×3) / (3/5)×(5×3)
= (12×5×3) / [(3×5×3)/5]
= 180 / (45/5)
= 180 / 9
= 20
Plz help I need help
Answer:
a is 4 because 4 x 16=20 i hope this help
a + 16 = 20
a = ?
a = 20 + 16
a = 36
a = 36 ✔️
A student researcher compares the ages of cars owned by students and cars owned by faculty at a local state college. A sample of 263 cars owned by students had an average age of 7.25 years. A sample of 291 cars owned by faculty had an average age of 7.12 years. Assume that the population standard deviation for cars owned by students is 3.77 years, while the population standard deviation for cars owned by faculty is 2.99 years. Determine the 90% confidence interval for the difference between the true mean ages for cars owned by students and faculty. Step 1 of 3: Find the point estimate for the true difference between the population means.
Answer:
The point estimate for the true difference between the population means is 0.13.
The 90% confidence interval for the difference between the true mean ages for cars owned by students and faculty is between -0.35 years and 0.61 years.
Step-by-step explanation:
To solve this question, before building the confidence interval, we need to understand the central limit theorem and subtraction between normal variables.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Subtraction between normal variables:
When we subtract two normal variables, the mean is the subtraction of the means while the standard deviation is the square root of the sum of the variances.
A sample of 263 cars owned by students had an average age of 7.25 years. The population standard deviation for cars owned by students is 3.77 years.
This means that:
\(\mu_s = 7.25, \sigma_s = 3.77, n = 263, s_s = \frac{3.77}{\sqrt{263}} = 0.2325\)
A sample of 291 cars owned by faculty had an average age of 7.12 years. The population standard deviation for cars owned by faculty is 2.99 years.
This means that:
\(\mu_f = 7.12, \sigma_f = 2.99, n = 291, s_f = \frac{2.99}{\sqrt{291}} = 0.1753\)
Difference between the true mean ages for cars owned by students and faculty.
Distribution s - f. So
\(\mu = \mu_s - \mu_f = 7.25 - 7.12 = 0.13\)
This is also the point estimate for the true difference between the population means.
\(s = \sqrt{s_s^2+s_f^2} = \sqrt{0.2325^2+0.1753^2} = 0.2912\)
90% confidence interval for the difference:
We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:
\(\alpha = \frac{1 - 0.9}{2} = 0.05\)
Now, we have to find z in the Ztable as such z has a pvalue of \(1 - \alpha\).
That is z with a pvalue of \(1 - 0.05 = 0.95\), so Z = 1.645.
Now, find the margin of error M as such
\(M = zs = 1.645*0.2912 = 0.48\)
The lower end of the interval is the sample mean subtracted by M. So it is 0.13 - 0.48 = -0.35 years
The upper end of the interval is the sample mean added to M. So it is 0.13 + 0.48 = 0.61 years.
The 90% confidence interval for the difference between the true mean ages for cars owned by students and faculty is between -0.35 years and 0.61 years.
(GIVING BRAINLYST) 1(Multiple Choice Worth 2 points) (15.01 LC) Which number sequence follows the rule subtract 15 starting from 105? O 15, 30, 45, 60, 75 O 15, 10, 25, 20, 35 O 105, 100, 95, 90, 85 O 105, 90, 75, 60, 45
D
Step-by-step explanation:
The correct answer is option D, which is 105, 90, 75, 60, 45.