Answer:
Área de un rectángulo = 150 cm²
El perímetro de un rectángulo = 50 cm
Step-by-step explanation:
Área de un rectángulo = largo × ancho (alto)
= 15 cm × 10 cm
= 150 cm²
El perímetro de un rectángulo = 2L + 2W
Donde L = longitud = 15 cm
W = Ancho = 10 cm
= 2 (15 cm) + 2 (10 cm)
= 30 + 20
= 50cm
What is the inverse relation of the function whose equation is y= 3x-2
Answer:
1/3x +2/3 = y
Step-by-step explanation:
y= 3x-2
To find the inverse, exchange x and y
x = 3y-2
And solve for y
x+2 = 3y-2+2
x+2 = 3y
Divide by 3
1/3(x+2) = 1/3(3y)
1/3x +2/3 = y
which of the following exponential functions represents the graph below?
Answer:
D
Step-by-step explanation:
We can start by taking a look at the x and y intercepts. When x=0, y=3. Plugging this into each function,
5 * 3^(0) = 5
3 * 5^(0) = 3
5 * (1/3)^(0) = 5
3 * (1/5) ^ (0) = 3
Therefore, our answer must be either B or D. Then, although y=0 isn't given on the graph, based on where the graph is heading, we can say that y is getting smaller as x gets larger. For a big number, such as 100, we know that
3 * 5^(100) is something big and 3 * (1/5) ^ (100) is something small*. Therefore, as y must get small, not big, as x gets larger, D is our answer.
* We know that this is something small because anything less than 1 to the power of something greater than 1 makes it smaller. For example, 0.5² is 0.25, which is smaller than 0.5
ReeeeeeeeeeeereEeeeeereeeee
Answer:
22
Step-by-step explanation:
B racket
I ndices
D division
M multiplication
A addition
Subtraction
Work out answer using the BIDMAS order
Help... A store owner collected data about the number of customers who came to the store in a day, y, for several days compared to the high temperature for that day, x. He found that the correlation coefficient was −0.76.
Answer:
strong, negative;
decreased
Step-by-step explanation:
A correlation coefficient that is close to 1, shows a strong association.
If the correlation coefficient is negative, it implies a negative association, meaning as one variable increases, the other decreases.
A positive correlation coefficient shows a positive association between two variables. This implies that as one variable increases, the other increases, or as one decreases, the other decreases as well.
In the case given, we are given that the correlation coefficient obtained is -0.76. This therefore shows a negative association. Also, the value is closer to 1.
This implies that there is a STRONG, NEGATIVE association association between x and y. This is because as the temperature (x) of the day increases across days, the number of customers who patronized the store DECREASED.
If the angles are represented in degrees,find both angles: csc(2x+9) =sec(3x+26)
Angle 1: Angle 2:
Please respond quick
Answer:
31°,59°
Step-by-step explanation:
csc (2x+9)=sec(3x+26)
1/sin(2x+9)=1/cos (3x+26)
sin (2x+9)=cos(3x+26)
cos (90-2x-9)=cos(3x+26)
90=3x+26+2x+9
5x+35=90
5x=90-35=55
x=55/5=11
2x+9=2×11+9=31°
3x+26=3×11+26=59°
X, Y and Z are three points on a map. Y is 85km and on a bearing of 190° from X. Z is on a bearing of 140°, from Y. Z is due south of X. Calculate the distance between X and Z rounded to 1 DP
Answer:
The distance between X and Z is approximately 95.99 km
Step-by-step explanation:
Given, X, Y and Z are three points on a map. Y is 85km and on a bearing of 190° from X. Z is on a bearing of 140°, from Y. Z is due south of X.(For Diagram Please Find in Attachment)
Thus, The parameters areThe distance of Y from X = 85 km
The bearing of Y from X = 190°
The bearing of Z from Y = 140°
The bearing of Z from X = 180°
Now,
In triangle XYZ, we have∠YZX = 180° - (130° + 10°) = 40°
Therefore, Apply the sine rule here, we get
(85 km)/sin(40°) = XZ/(sin(130°))
XZ = sin(130°) × (85 km)/sin(30°) ≈ 95.99 km
The distance between X and Z ≈ 95.99 km
What are the lengths of AD, DB, AE, and EC? Measure and record them.
is anyone good with Trigonometry word problems?
Answer:
maybe
Step-by-step explanation:
but what help do u want?
PLEASE HELP!!!!!
The double box plot below shows the number of daily visitors to two national parks.
Use medians to compare the centers of the data sets.
Which park has greater variability in the number of daily visitors? Show your work.
In general, which park has more daily visitors? Justify your response.
For which park, could you more accurately predict the number of daily visitors on any given day? Explain.
Answer:
Kindly check explanation
Step-by-step explanation:
From the boxplot attached :
Summer lake :
Median = 60 ( point in between the box)
Variability is given by the Range = maximum - minimum = 80 - 40 = 40
Maximum number of visitors = 80
Summer lake distribution is approximately normally distributed, so number of daily visitors can be more accurately predicted on any given day
Canyon Overlook:
Median = 80 ( point in between the box)
Variability is given by the Range = maximum - minimum = 120 - 30 = 90
Maximum number of visitors = 120
Find the solutions to the equation below.
Check all that apply.
30x^2 - 28x + 6 = 0
A. X = 4/5
B. X = 1/3
c. X = 1/2
D. X = 1/5
E. X = 3/5
F. X = 2/3
The solution to the equation 30x² - 28x + 6 = 0 is x = 3/5 and x = 1/3 option (B) and (E) are correct.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
We have a quadratic equation:
30x² - 28x + 6 = 0
a = 30, b = -28, and c = 6
Plug the values in the formula:
[tex]\rm x = \dfrac{-(-28) \pm\sqrt{(-28)^2-4(30)(6)}}{2a}[/tex]
After solving:
x = 3/5 or x = 1/3
Thus, the solution to the equation 30x² - 28x + 6 = 0 is x = 3/5 and x = 1/3 option (B) and (E) are correct.
Learn more about quadratic equations here:
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Type the correct answer in the box.
Consider the table below.
х у
-3 0.5
-2
1
-1 2.5
0
5
18.5
Complete the standard form equation representing the quadratic relationship displayed above, where a, b, and care constants.
Answer:
Step-by-step explanation:
Use the standard form equation along with 3 of the coordinates from the table. I used (-1, 2.5), (0, 5), and (1, 8.5). Begin always with the coordinate where you have a 0:
[tex]5=a(0)^2+b(0)+c[/tex] and we get immediately that c = 5. We can use that value as move forward with the next coordinate pair.
[tex]8.5=a(1)^2+b(1)+5[/tex] and
8.5 = a + b + 5 and
3.5 = a + b Hold that thought while we come up with the second equation for this system.
[tex]2.5=a(-1)^2+b(-1)+5[/tex] and
2.5 = a - b + 5 and
-2.5 = a - b Now solve this system using the method of eliination:
a + b = 3.5
+ a - b = -2.5
so
2a = 1 and a = 1/2 Now we can plug that in and solve for b:
a + b = 3.5 becomes
1/2 + b = 3.5 so
b = 3 and the equation is
[tex]y=\frac{1}{2}x^2+3x+5[/tex]
PLEASE HELP PLEASE PLEASE PLEASE
Answer:
45[tex]yd^{2}[/tex]
Step-by-step explanation:
splitting it into 2 rectangles, you have one of 15 x 2 and 5 x 3. multiplying base by width on both and adding the answers together gives you 45.
Answer:
45 yd2
Its a composite shape, so you'll have to "cut" it into basic shapes first.
I've cut it into two rectangles A and B... (see attachment)
Rectangle A on its own would have a l = 5 yd and w = 3 yd
Rectangle B will have l = 15 yd and w = 2yd
Total area = Area of A + Area of B
= (5 × 3) + (15 × 2)
= 15 + 30
=
[tex] {45yd}^{2} [/tex]
How many types of triangles are there?
Answer:
there are 6 type of tryingle hope it helps
Equation of a line is y = 2x + 5
a) what is the gradient?
b)what is y- intercepted?
c) if the gradient is -3 and y-intercept is 1,then what is the equation of the line?
Answer:
Step-by-step explanation:
Generally, we have the equation of a straight line as;
y = mx + b
where m is the slope and g is y intercept
a) The gradient is the slope and we have the value as 2
b) The y-intercept here is 5
c) for slope -3 and intercept 1, the equation becomes
y = -3x + 1
Kevin correctly answered 75% of 32 test questions.
Part A
How many questions did Kevin answer correctly?
Part B
How many more questions would Kevin have to answer correctly to get more than 80% correct?
Answer:
part a-24 questions
part b-2 or 3 more questions
Step-by-step explanation:
part a-to find the number, change the percent into a decimal (.75) and multiply (24)
part b-first find how many questions need to be right to get 80% (.80 times 32=25.6). then subtract by how many he would get with a 75% (25.6-24=about 2 to 3 more questions, rounded 2)
Hi can anyone help me out with this question ?
and if you could explain how to do pls
-
Find the value of the trig ratio to the nearest ten-thousandth
Sin 38°= ?
Answer:
a
using a calculator u can see the digits that follow.
Answer:
Option A is correct
Step-by-step explanation:
Sin 38° = 0.61566147 and 0.6157 is the value of the trig ratio to the nearest ten-thousandth.Option A is the value of the trig ratio to the nearest ten-thousandth .Hope it is helpful....factorise x squared + x - 12
Answer:
(x+4)(x-3)
Step-by-step explanation:
Answer:
(x + 4)(x - 3)
Step-by-step explanation:
Given
x² + x - 12
Consider the factors of the constant term (- 12) which sum to give the coefficient of the x- term (+ 1)
The factors are + 4 and - 3 , since
4 × - 3 = - 12 and 4 - 3 = + 1 , then
x² + x - 12 = (x + 4)(x - 3) ← in factored form
A business owner is paying for a dinner party that costs $212.00, including tax. If the tip is 20%, what is the total bill?
$218.40
$254.40
$276 60
$222.60
Answer:
$254.40
Step-by-step explanation:
Find the total bill by multiplying 212 by 1.2, which will calculate the cost included with the 20% tip:
212(1.2)
= 254.4
So, the total bill will be $254.40
Answer:
[tex]\$254.40[/tex]
Step-by-step explanation:
Since 20% as a decimal is 0.2, the total bill including tax is 1.2 times larger than the original bill.
Original bill of $212.00:
Final bill: [tex]212.00\cdot 1.2=\boxed{\$254.40}[/tex]
El volumen de un prisma de base rectangular es 24 m3. Si el largo de la base es 2,5 m y su ancho es 4 m, ¿cuál es la altura del prisma?
Answer:
La altura del prisma es 2,4 m.
Step-by-step explanation:
Para calcular el volumen de un prisma rectangular, es necesario multiplicar sus tres dimensiones, esto es, longitud*ancho*altura. El volumen se expresa en unidades cúbicas.
Entonces:
volumen= longitud*ancho*altura
En este caso, los datos conocidos son:
volumen= 24 m³longitud= largo de la base= 2,5 mancho= 4 maltura= ?Reemplazando:
24 m³= 2,5 m* 4 m* altura
Resolviendo:
[tex]altura=\frac{24 m^{3} }{2,5 m*4m}[/tex]
[tex]altura=\frac{24 m^{3} }{10 m^{2} }[/tex]
altura= 2,4 m
La altura del prisma es 2,4 m.
I’ve been stuck on these for a while, can someone help? Thank you :) !!
Answer:
6.32
5
254.34
Step-by-step explanation:
The lengths of the missing sides can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
first missing side
7² = 3² + x²
49 = 9 + x²
x² = 49 - 9
x² = 40
x = 6.32
second missing side
3² + 4²
9 + 16
= 25
√25 = 5
Area of a circle = πr²
Where : = π = pi = 3.14
3.14 x 9² = 254.34
Does someone know what the answer is? Help, please!
Answer:
if I'm not wrong it should be A
Consider the points P(0,5), Q(9, 2), R(7, -4), and S(-2, -1). What type of quadrilateral
do these points form? Justify your answer mathematically in the space below.
Answer:
a trapezium
Step-by-step explanation:
by plotting and joining the points you will see a quadilateral with four sides which has one pair of opposite sides parallel but not equal and that is a trapezium
Help me !! Use the image to complete the equation below
m angle APD.
Hope It's help you.
Step-by-step explanation:
yeah angle m is APD so yeah
In the image, two circles are centered at A. The circle containing B was dilated to produce the circle containing B′. What is the scale factor of the dilation? A. 1 B. 2 C. 0.5 D. -0.5In the image, two circles are centered at A. The circle containing B was dilated to produce the circle containing B′. What is the scale factor of the dilation? A. 1 B. 2 C. 0.5 D. -0.5
Answer:
C. 0.5
Step-by-step explanation:
The diameter of B is from -2 to 2, which = 4 units.
The diameter of B' is from -1 to 1, which equals 2 units.
2/4 = 1/2 = 0.5 scale factor.
Let f(x)=2(4)x+1−2. The graph of f(x) is translated 7 units to the left to form the graph of g(x).
The function of g(x) is a transformation of the absolute values parent function which graphs shows g(x)
==============================================================
Explanation:
f(x) is shown in the blue dashed line, while g(x) is a solid black line.
When going from |x| to 3|x|, we are multiplying each y output value by 3. So a point like (4,4) on f(x) moves to (4,12) on g(x). A point like (-3,3) on f(x) moves to (-3,9) on g(x). And so on.
This will result in g(x) being taller and skinnier/narrower compared to f(x) as shown in graph B. We have vertical stretching going on here.
The vertex of each V shape is the same and that's at the origin (0,0).
No translations (horizontal or vertical shifting) are occurring.
The graph that shows the function g(x) = 3|x| is graph B.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
Given that, a function of g(x) is a transformation of the absolute values, we need to find the parent function of g(x)
Function g(x) = 3|x| is a vertical stretch of 3 units of function f(x) = |x|, that is, they keep the same vertex at (0,0), just graph g is stretched, passing at (1,3) instead of (1,1) for example.
Hence graph B is correct.
More can be learned about translation click;
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Hi can someone help me with these? 5 and 6 only though
Answer:
5) 2z - 15 = 9
2z.=9+15
2z =24
z =12
6) 4x-2 = 62°
4x=62°+2°
4x=64°
x=16
Step-by-step explanation:
5).2z-15=9 6).(4x-2°)=62°
2z=9+15 4x=62°+2°
2z=24 4x=64°
z=12 x=16
Use trigonometric identities to simplify [tex]sec^2(\pi /2-(x))[sin^2(x) -sin^4(x)][/tex]
Answer:
Step-by-step explanation:
I am using trig identities and the formula for the difference of the cos of 2 angles to solve this. I'll do the steps one at a time. It's super tricky. First I'm just going to work on simplifying the sec² part and then I'll introduce the sin²(x) - sin⁴(x) when I need it. Beginning with the identity for the difference of the cos of 2 angles, knowing that sec²(x) = [tex]\frac{1}{cos^2(x)}[/tex]:
[tex]sec^2(\frac{\pi}{2}-x)=\frac{1}{cos^2(\frac{\pi}{2}-x )}[/tex] and expand that using the formula for the difference:
[tex]\frac{1}{cos(\frac{\pi}{2}-x)cos(\frac{\pi}{2}-x) }=[/tex] [tex]\frac{1}{(cos\frac{\pi}{2}cos(x)+sin\frac{\pi}{2}sin(x))(cos\frac{\pi}{2}cos(x)+sin\frac{\pi}{2}sin(x)) }[/tex] and all of that simplifies down to
[tex]\frac{1}{(0cos(x)+1sin(x))(0cos(x)+1sin(x))}[/tex] which simplifies further to
[tex]\frac{1}{(sin(x))(sin(x))}=\frac{1}{sin^2(x)}[/tex] Now we'll bring in the other term. This is what we have now:
[tex]\frac{1}{sin^2(x)}(\frac{sin^2(x)-sin^4(x)}{1})[/tex] and distribute in to get:
[tex]\frac{sin^2(x)}{sin^2(x)}-\frac{sin^4(x)}{sin^2(x)}[/tex] which simplifies to
[tex]1-sin^2(x)[/tex] and that, finally, simplifies down to a simple
[tex]cos^2(x)[/tex]
You move down 2 units and up 8 units. You end at (0, 4). Where did you start?
Given:
You move down 2 units and up 8 units.
You end at (0, 4).
To find:
The starting point.
Solution:
Let the starting point be [tex](x,y)[/tex].
You move down 2 units and up 8 units. So, the rule of translation is:
[tex](x,y-2+8)=(x,y+6)[/tex]
You end at (0, 4).
[tex](x,y+6)=(0,4)[/tex]
On comparing both sides, we get
[tex]x=0[/tex]
[tex]y+6=0[/tex]
[tex]y=4-6[/tex]
[tex]y=-2[/tex]
Therefore, the starting point is (0,-2).
Mrs.Tate is 5 feet 3 inches tall. Her daughter is 4 feet 8 inches tall. How much taller is Mrs.Tate than her daughter?
A) 5 inches
B) 7 inches
C) 1 foot 5 inches
D) 1 foot 7 inches
========================================================
Explanation:
1 foot = 12 inches
5 feet = 60 inches (multiply both sides by 5)
5 ft, 3 in = 63 inches (add 3 inches to both sides)
Through similar steps, you should find that 4 ft 8 in converts to 56 inches
The difference is 63-56 = 7 inches