Answer:
Surface area = 6.92 cm²
Step-by-step explanation:
Given the following data;
Surface area = 692 cm²
To convert the area in cm² to mm²;
Conversion:
10 mm to cm = 10/10 = 1 cm
1 mm² to cm² = 1/100 = 0.01 cm²
692 mm² to cm² = 692 * 0.01 = 6.92 cm²
Therefore;
692 mm² = 6.92 cm²
In conclusion, the surface area of the piece of paper is 6.92 square centimeters.
What is the vertex of the graph of the function below? y= x2 - 4x + 3
A. (2.-1)
B. (1,-1)
C. (1,0)
D. (2,0)
is x = 3 a function or not a function ?!
Answer:
x = 3 is not a function because, for one thing, its graph does not pass the vertical line test.
Martina read that the average graduate student is 33 years old. She wanted to estimate the mean age of graduate students at her large university, so she took a random sample of 30 graduate students. What is Martina's margin of error?
Answer: Martina's margin of error is 1.5.
Step-by-step explanation:
Given: Average graduate student (upper limit) = 33
Random sample graduate student (lower limit) = 30
Formula to calculate margin of error is as follows.
Margin of error = [tex]\frac{upper limit - lower limit}{2}[/tex]
Substitute the values into above formula as follows.
[tex]Margin of error = \frac{upper limit - lower limit}{2}\\= \frac{33 - 30}{2}\\= \frac{3}{2}\\= 1.5[/tex]
Thus, we can conclude that Martina's margin of error is 1.5.
Micheal has 5^(2) boxes. There are 5^1 of apples in each box. When empty, a box weighs 5^-2 kg. What is the total weight of boxes with the apples in them.
Answer:
5.4
Step-by-step explanation:
Juss took the test
Four spheres of radius 6 cm just fit inside a cylinder.
Calculate the volume inside the cylinder that is empty.
Leave your answer in terms of pi.
Answer:
1152\pi\
Step-by-step explanation:
Jessica filled the birdbath in her yard with 4 liters of water. How many milliliters of water did she put in the birdbath?
Answer:
4,000 milliliters
Step-by-step explanation:
There are 1,000 millililters in one liter. 4*1,000=4,000.
Answer:
4,000 mL
Step-by-step explanation:
there are 1,000 mL in one liter so there are 4,000 mL in four liters
Solve the following system of equations.
\begin{aligned} -5x+4y &= 3\\\\ x&=2y-15 \end{aligned}
−5x+4y
x
=3
=2y−15
x=?
y=?
Step-by-step explanation:
The first president of the United States was
[tex]\begin{aligned} -5x+4y &= 3\\\\ x&=2y-15 \end{aligned}[/tex]
Answer:
x=9
y=12
Step-by-step explanation:
ethan invests £500 in the bank for 2 years he earned £40 simple interest
Answer:
Rate = 4%
Step-by-step explanation:
principal = £500
time = 2 years
simple interest = £40
rate = ?
simple interest = PTR / 100
£40 = £500*2*R /100
£40*100 = £1000*R
£4000/£1000 = R
4 % = R
Subtract the second equation from the first. 4x+3y = 17 (4x + y 9)
A. -8x = 26
B. 4y= 8
C. 8x = 26
D. 2y = 8
Answer:
D
Step-by-step explanation:
4x+3y -4x -y = 17 -9
<=> 2y =8
Which is NOT an example of continuous data?
A)
time it takes to cut the grass
B)
Lifetime (in hours) of a flashlight battery
C)
weights of dogs in animal shelter
D)
number of cheeseburgers sold yesterday at a drive-thru
Answer:
Solution
Height is not an example of a continuous variable.
D) The number of cheeseburgers sold yesterday at a drive-thru is not an example of continuous data.
Here, we have,
Continuous data refers to numerical data that can take on any value within a certain range or interval. It typically involves measurements or quantities that can be expressed as real numbers.
A) The time it takes to cut the grass can be measured in minutes or seconds, and it can take on any value within a range. This is an example of continuous data.
B) The lifetime (in hours) of a flashlight battery is a continuous variable. It can take on any value within a range, such as 5.3 hours, 10.7 hours, or any decimal or fractional value.
C) The weights of dogs in an animal shelter can be measured in pounds or kilograms and can take on any value within a range. This is also an example of continuous data.
D) The number of cheeseburgers sold yesterday at a drive-thru is a discrete variable. It represents a count or a whole number, such as 50 cheeseburgers, 100 cheeseburgers, etc. Discrete data involves distinct values and is not continuous.
Therefore, option D is not an example of continuous data.
learn more on data;
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Bruce Wayne trabaja en un proyecto inmobiliario, éste consiste en un edificio con forma de prisma de base triangular, cuya planta baja se caracteriza por tener una piscina, un gimnasio y una cancha deportiva. Batman tiene este bosquejo de dicho proyecto: Los terrenos destinados para la piscina, el gimnasio y la cancha deportiva son cuadrados, de modo que la superficie de la cancha es de 2.500 m2 y la de la piscina es de 1.600 m2 . ¿Cuál es la superficie destinada al gimnasio?
Answer:
El área del gimnasio sería 2000 metros cuadrados
Step-by-step explanation:
Un lado del gimnasio será igual al lado de la cancha y el otro lado será igual al lado de la piscina.
Dado que tanto la cancha como la piscina tienen forma cuadrada. El lado de la cancha será raíz cuadrada de 2.500 m2 y el de la piscina será raíz cuadrada de 1.600 m2
Por lo tanto, el lado del gimnasio sería 50 y 40.
El área del gimnasio sería 50 * 40 = 2000 metros cuadrados
Fill in the blanks using < or >. (a) -3 ...... -4 (b) 6 ....... -20 (c) -8 ...... -2 (d) 5 ...... -7
[tex]\sf \bf {\boxed {\mathbb {ANSWER:}}}[/tex]
(a) -3 [tex]\boxed{ > }[/tex] -4
(b) 6 [tex]\boxed{ >}[/tex] -20
(c) -8 [tex]\boxed{ < }[/tex] -2
(d) 5 [tex]\boxed{ > }[/tex] -7
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{☂}}}}}[/tex]
The city of Plainview is building a new sports complex. The complex includes eight baseball fields, four soccer fields, and three buildings that have
concessions and restrooms. Arrange the structures in the sports complex using translations, reflections, and rotations so that the final
arrangement satisfies each of these criteria:
. All the fields and buildings fit on the provided lot.
• Each field is adjacent to at least one building for ease of access.
. Two or more fields can be adjacent, but no two fields should share the same boundary (e.g., a sideline or a fence.)
• For safety reasons, no baseball field should have an outfield (the curved edge) pointed at the side (the straight edges) of another baseball
field.
Answer:
See Explanation
Step-by-step explanation:
(Please Find Diagram in the attachment)⇒Answer Drawing is Given There.
According to the question,
Given that, The city of Plainview is building a new sports complex. The complex includes eight baseball fields, four soccer fields, and three buildings that have concessions and restrooms. Now, Arrange the structures in the sports complex using translations, reflections, and rotations so that the final arrangement satisfies each of these criteria: All the fields and buildings fit on the provided lot. Each field is adjacent to at least one building for ease of access. Two or more fields can be adjacent, but no two fields should share the same boundary (e.g., a sideline or a fence.) For safety reasons, no baseball field should have an outfield (the curved edge) pointed at the side (the straight edges) of another baseball fieldFind the value of the angle θ rounded to 1 DP.
The diagram is not drawn accurately
Answer:
Find length opposite to 30deg
Opposite = tan(30)*42
= 24.2
Whole side = 24.2+10
Find angle of 0 + 30deg: (say x)
Tan(x) = 33.2/42
Arctan(0.79) = x
x = 38.3
The angle to find:
38.3-30:
8.3
The angle is 8.3deg.
Express y in terms of x in the equation =
Alt Test 7 -6 -5 -4 -3 -2 -1 2 3 1 Le 6 N . 1 -Z -3 -4 รา -6 In this graph, the y-intercept of the line is The equation of the line is y= y X
Answer:
[tex]{ \tt{y = y {}^{x} }} \\ y - intercept : { \tt{y = {y}^{0} }} \\y = 1[/tex]
What is the formula or equation for this problem I don’t understand
Answer:
B
Step-by-step explanation:
From the property of parallelogram the opposite angels are equal so < DAB = < DCB so < DAB will become 16x.
9x + 5 + 16x(<DAB) = 180 ....... because it is straight line.
25x + 5 = 180
25x = 180 - 5
25x = 175
x = 7 (it's 7 because u divide 175 by 25)
now let's substitute in the angle < DCB( 16x):-16 × 7= 112
To get < ABC lets use the property of parallelogram which says tha adjacent angles are supplementary. which means <ABC + <DCB = 180
<ABC + 112 = 180
< ABC = 180 - 112
< ABC = 68
answer credits: melatleul
Need help on this!!! 10 points!!!
rotation,
glide reflection,
reflection,
translation.
Answer:
it appears to have TRANSLATED
we want to factor the following expression (x-3)^2-10(x-3)+25 which pattern can we use to factor the expression
Answer:
This question is asking for the pattern , not the factoring of it...
this is the [tex](a+b)^{2} pattern = a^{2} + 2ab + b^{2}[/tex]
Step-by-step explanation:
Answer:
(x - 8)²
Step-by-step explanation:
This is in the form of a perfect square, that is
(x + b)² = x² + 2bx + b²
with x = x - 3 and by comparison of like terms
2b = - 10 ⇒ b = - 5
Then
(x + b)²
= (x - 3 - 5)²
= (x - 8)² ← in factored form
b to the power of -3
write that as a positive exponent
explain
Answer:
1/b^3
Step-by-step explanation:
b^-3 is like writing:
1
---
b^3 since negative exponents are made into fractions
please answer this!!!!
Jacob wanted to know what the most popular sneaker brand was of his classmates. His class had 30 students. To save time, he asked 10 boys the brand of sneakers that they were wearing. Of the students surveyed; Nike was the most popular sneaker brand.
Explain 2 ways Jacob's survey could have been more representative of his class's favorite sneaker brand.
Answer:
He could have asked the girls as well, and could have asked the entire class instead of just 10 students.
Step-by-step explanation:
By only asking 10 boys, he is not getting a complete representation of the whole class, as their are 30 students in the class.
Please help me as soon as possible!
36 - 2s² + t²
S = 2
T = 8
Answer:
i think its 20
Step-by-step explanation:
3x + 14 < 38
Please show work
3x + 14 < 38
Subtract 14 from both sides:
3x < 24
Divide both sides by 3:
X < 8
can you help me do this Q I can't seem to get it :)
9514 1404 393
Answer:
x = 3∠IEH = 61°∠IHE = 35°Step-by-step explanation:
There are a couple of useful facts about parallelograms that can be used here.
1) The diagonals bisect each other.
2) Opposite sides are parallel, so each diagonal can be considered a "transversal" with respect to parallel lines. That means all of the angle relationships involving parallel lines apply.
__
The two marked sections of diagonal GIE are congruent, so you have ...
3x +1 = 10
3x = 9 . . . . subtract 1
x = 3 . . . . . divide by 3
__
Angles IEH and IGF are "alternate interior" angles, so are congruent.
angle IEH = 61°
__
Angles IHE and IFG are "alternate interior" angles, so are congruent.
angle IHE = 35°
Anyone know this answer?
Answer:
56 degrees
Step-by-step explanation:
The tangent of any angle in a right triangle is equal to its opposite side divided by its adjacent side.
Therefore, we have the equation:
[tex]\tan x^{\circ}=\frac{15}{10}[/tex]
To isolate [tex]x[/tex], take the inverse tangent of both sides:
[tex]\tan^{-1}(\tan (x^{\circ}))=\tan^{-1}(\frac{15}{10}),\\x^{\circ}=\arctan(\frac{15}{10})=56.30993247\approx \boxed{56^{\circ}}[/tex]
*Recall [tex]\tan^{-1}(\tan x)=x, x\in (-\frac{\pi}{2}, \frac{\pi}{2})[/tex]
Find the y-component of this
vector:
12.0 m
73.3°
Remember, angles are measured from
the +X axis.
y-component (m)
Answer:
The y-component is 11.49 m.
Step-by-step explanation:
Given that,
Vector = 12 m
Angle, θ = 73.3°
We need to find the y-component of this vector.
It can be calculated as follows :
[tex]v_y=v\sin\theta\\\\v_y=12\times \sin(73.3)\\\\=11.49\ m[/tex]
So, the y-component is 11.49 m.
Larry works at the Gap Clothing Store. He works 15 hours week. If his manager cuts all employee hours by 20%, how many hours a week will Larry work now.
Answer:
12 hours
Step-by-step explanation:
Find 20% of 15 hours
15 * 20%
15 * .2
3
Subtract this because his hours are cut
15-3
12
A 68-year old retiree has a pension savings of $51,000, a 401k of $58,000, and an IRA account of $68,000. Before 2008, he had 2% more cash in the pension, 12% more in the IRA, and −1% in the 401k. He wants to take out 2% from each account before he turns 72, which will cost him a penalty of an extra 1% from the pension, 2% from the 401k, and 6% from the IRA. What is the relevant information for the amount that the retiree will have in his pension if he doesn't take money out now?
A: The retiree had 2% more cash in the pension in 2008
B: The retiree has a pension savings of $51,000
C: The retiree has a 401k of $58,000
D: The retiree has an IRA account of $68,000
Answer:
B: The retiree has a pension savings of $51,000
Step-by-step explanation:
A triangle has vertices (-1, 2), (3, 1), and (7.2). What is the approximate perimeter of the triangle? Round your answer to the nearest hundredth
Answer
16.25
Step-by-step explanation: To The Nearest Hundredth
(-1, 2), (3, 1)
√17
(3, 1), (7, 2)
√17
(3, 1), (7, 2)
√8
So our answer is =
8 + √17 + √17 = 16.25
hope it works for you!
