Answer:
The correct options are (1), (2) and (4).
Step-by-step explanation:
If the cross-section of a right rectangular prism parallel to its base then the cross section is a rectangle.
If the cross section of a right rectangular prism perpendicular to its base then the cross section is a rectangle.
It is provided that a right rectangular prism has a rectangular base measuring 15 inches by 8 inches.
Then the right rectangular prism could have:
Dimensions: Length = 15 inches, Width = 8 inches and Height = 6 inches. A cross section parallel to the base which is a rectangle measuring 15 inches by 8 inches. A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.Thus, the correct options are (1), (2) and (4).
Ayuuuuuuddddaaaaaa!!!
Answer:
Los triangulos son iguales porque tienen dos lados y el angulo comprendido respectivamente iguales, por tanto
[tex]3x = x+8\\2x=8\\x=4\\[/tex]
If paint cost $24 and their is a sale for the next month, and the discount is 25% off paint, how much will the paint be after if you buy it during the sale?
The population of a country has been increasing for several decades. In 1990, the population was about 233 million people. In 2014, the population was about 291 million people. Determine the percent increase in the country's population during this time period.
Answer:
the answer for this question is increase 24.89%
Step-by-step explanation:
100%= 233 million
? = 291 million
100%/(233×10^6) : x/(291×10^6)
x=[100%×(291×10^6)]/(233×10^6)
x=124.8927039
x=124.89
124.89%-100%=24.89%
Find the percent increase in volume when 1 foot is added to each dimension of the prism. Round your answer to the nearest tenth of a percent. Percent increase ≈ %
Answer:
The percentage increase in volume of the prism is impossible to find. This is because the current dimension or the diagram from which the dimension of the prism could be determined is not given.
However I will explain the methods to follow in finding this percentage increase, assuming that the current dimension of the prism is given.
Step-by-step explanation:
Assuming the volume the of prism is x ft³. After adding 1 ft to each dimension, the volume becomes y ft³.
The percentage increase = (y/x) × 100
= z%
That is,
Percentage increase = [(New volume) ÷ (Old volume)] × 100
The resulting value, z% is the percentage increase.
Which expression has a positive value?
Negative 4 + (negative 5) (negative 6) divided by (negative 3)
8 Left-bracket 10 divided by (2) (negative 2) Right-bracket
3 (negative 64 divided by 8) + 25
Negative 2 (negative 5) (negative 3) divided by 10
Answer:
3 (negative 64 divided by 8) + 25 = 1
Step-by-step explanation:
Negative 4 + (negative 5) (negative 6) divided by (negative 3) = -4 + (-5)(-6)/(-3) = -4 + 30/-3 = -4 - 10 = -14
8 Left-bracket 10 divided by (2) (negative 2) Right-bracket = 8(10/((2)(-2)) = -20
3 (negative 64 divided by 8) + 25 = 3(-64/8) + 25 = 3(-8) + 25 = -24 + 25 = 1
Negative 2 (negative 5) (negative 3) divided by 10 = (-2)(-5)(-3)/10 = -3
The only positive value here is 1, which is a result of 3 (negative 64 divided by 8) + 25
Answer:
C
Step-by-step explanation:
i took the test
There are 48 cans of soup on a crate. A supermarket has a delivery of 110 crates for £1980 and sells a can for 41p. How much profit does the supermarket make on the delivery?
Answer:
I would love to help but i dont know pounds so i will try to help in dollars then convert into pounds
lol :) just wait
Step-by-step explanation:
2. What is the distance between the points M(-8,11) and N(3,7)?
a) 11.7
b) 10.2
c) 18.7
d) 19.4
Answer:
I'm not sure I feel like it's A
Step-by-step explanation:
-8 is 11 units away from 3 but I do not know where the 7 came from for answer A.
If I were you I would not trust my answer
The distance between the points M(-8,11) and N(3,7) is 11.7 units option (a) 11.7 is correct.
What is a distance formula?It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
The distance formula can be given as:
[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
It is given that:
The two points are:
M(-8,11) and N(3,7)
From the distance formula, we can find the distance between these two points:
Applying the distance formula:
[tex]\rm d=\sqrt{(3-(-8))^2+(7-11)^2}[/tex]
d = √137
d = 11.7 units
Thus, the distance between the points M(-8,11) and N(3,7) is 11.7 units option (a) 11.7 is correct.
Learn more about the distance formula here:
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A bag contains four yellow jerseys numbered one to four. The bag also contains three purple jerseys numbered one to three. You randomly pick a jersey. It is purple or has an even number. * A: 0.714 B:0.727 C:0.778 D:0.286
Answer:
A: 0.714
Step-by-step explanation:
four yellow jerseys numbered one to four. The bag also contains three purple jerseys numbered one to three. for a total of 7 jerseys
3 even + 3 purple - the purple even ( no double counting) = 5
P( purple or even) = purple or even / total
= 5/7
= .71428
What are the ordered pairs of the
solutions for this system of equations?
f(x) = x2 – 2x + 3; f(x) = -2x + 7
Hey there! :)
Answer:
(2, 3) and (-2, 11).
Step-by-step explanation:
To solve this system of equations, we can set both equations equal to each other:
x² -2x + 3 = -2x + 7
Combine like terms:
x² -4 = 0
Factor using difference of squares:
(x - 2)(x + 2) = 0
Therefore, x = 2 and -2. Plug both of these into an equation to solve for the 'y' value:
f(x) = -2(2) + 7
f(x) = -4 + 7
f(x) = 3
------------------
f(x) = -2(-2) + 7
f(x) = 4 + 7
f(x) = 11
Therefore, the two ordered pairs are (2, 3) and (-2, 11).
What is 6 divided by 2
Answer:
3
Step-by-step explanation:3x2=6
Which inequality matches the graph?
A.−3x + 2y > 7
B.3x − 2y < 7
C.−2x + 3y > 7
D.2x − 3y < 7
The numbers x and y are inversely proportional. When the sum of x and y is 42, x is twice y. What is the value of y when x = -8? PLEASE HELP
Answer:
y= -4
Step-by-step explanation:
x+y=42. We know that x plus y equals 42.
x=2y . We also know that x equals twice y.
2y+y=42. Since we know that x=2y, we're going to replace x with 2y from the original equation, simplified would be 3y=42.
y=14. 3y=42 simplified is y=14, this is because we divided both sides by 3 (since 3 and 42 are both divisible by 3) (btw divisible by 3 simply means that it can be divided by 3)
x+14=42. Now that we know what y equals, let's replace y with 14 from the original equation.
x=28. Now that we know that x=28 and y=14, we know that y is always x/2.
When x=-8, we divide it by 2 and get, -4.
Not absolutely positive as this was all mental math, but hope this helps! :)
The value of the variable y at x = -8, will be negative 49.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
The numbers x and y are inversely proportional. Then we have
y ∝ 1/x
y = k/x ...1
When the sum of x and y is 42. Then the equation will be
x + y = 42 ...2
x is twice y. Then the equation will be
x = 2y ...3
From equations 2 and 3, we have
2y + y = 42
3y = 42
y = 14
Then the value of x will be
x = 2(14)
x = 28
Then the value of k will be
14 = k / 28
k = 392
Then the equation will be
y = 392 / x
Then the value of the variable y at x = -8, will be
y = 392 / (-8)
y = -49
Thus, the value of the variable y at x = -8, will be negative 49.
More about the ratio and the proportion link is given below.
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The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
359, 352, 345, ...
Find the 44th term.
Answer:
Submit Answer
attempt out of 2
(DELTAMATH VERSION)
Answer:
[tex]58[/tex]
Step-by-step explanation:
[tex]-7n+366[/tex]
[tex]-7(44)+366[/tex]
[tex]-308+366[/tex]
[tex]=58[/tex]
PLEASE HELP!! if f(x)= 2x^2-11, find f(4)
Answer: f(4) = 21
Step-by-step explanation:
2(4)^2-11
4^2 = 16
2(16)-11
Multiply 2 and 16
32 - 11
Subtract
21
Answer:
21
Step-by-step explanation:
f(x)= 2x^2-11
Let x= 4
f(4)= 2*4^2-11
= 2 * 16 - 11
= 32 -11
21
. A retailer sold 10 packs of pens in 3 days. There were 48 pens in each pack. He sold twice as many pens on Sunday than on Monday. He sold 55 pens fewer on Tuesday than on Sunday. How many pens did the retailer sell on Monday?
Answer:
The number of pens sold on Monday is 107 pens
Step-by-step explanation:
total pack of pen sold by the retailer in 3 days = 10 packs
total number of pens in the 10 packs = 48 x 10 = 480 pens
let the number of pens sold on Monday = x
let the number of pens sold on Sunday = y
let the number of pens sold on Tuesday = z
He sold twice as many pens on Sunday than on Monday
y = 2x ------equation (1)
He sold 55 pens fewer on Tuesday than on Sunday
y = z + 55 ------equation (2)
total number of pens sold in the three days
y + z + x = 480 ------equation (3)
from equation (1) make x the subject of the formula
x = y/2
from equation (2) make z the subject of the formula
z = y - 55
substitute the value of x, and z into equation (3)
y + y/2 + y - 55 = 480
2y + y/2 = 480 + 55
5y/2 = 535
5y = 535 x 2
5y = 1070
y = 1070 / 5
y = 214
The number of pens sold on Monday is:
x = y / 2
x = 214 / 2
x = 107 pens
Thus, the number of pens sold on Monday is 107 pens
The Griffins bought a new car for $23,865. The total price was $26,959 which included $1,589 for tax and license, $742 for shipping, and payment for accessories. How much were the accessories?
possible answer
5
-5
2.8
-2.8
which best decribes how to slove the equation below 26x=74
Please answer correctly !!!!!!!!! Will mark brainliest answer !!!!!!!!!!!!
Answer:
So it will take the stone 1 (one) second to reach its maximum height.
Step-by-step explanation:
Notice that the mathematical quadratic expression given is that of a parabola with branches pointing down. This means that the maximum value for that parabola is at the vertex. Your expression is also given in vertex form:
[tex]f(x)=a\,(x-x_v)^2+y_v[/tex]
where the pair of coordinates [tex](x_v,y_v)[/tex] are the x coordinate of the vertex and the y coordinate of the vertex.
Since x in your case is the time the stone is on the air, then the maximum (vertex) is at the point (1, 45) where "1" is the time in seconds and 45 is the height of the stone in meters.
So it will take the stone 1 (one) second to reach its maximum height.
I will give you brainliest!!!!! Use the substitution method to solve for the system of equations. x+2y=6 y=x-3
Answer:x=4 y =1
Step-by-step explanation:
your welcome
Answer:
x = 4, y = 1
Step-by-step explanation:
Substitute the y in the first equation for x-3
X + 2(x-3) = 6
3x -6 = 6
3x = 12
x = 4
Plugging 4 into the second equation
y = 4-3
y = 1
From sea level, a submarine descends 40 feet per minute. Where is the submarine in relation to sea level 5 minutes after it starts descending?
Answer:
It is expected to be at a distance of 200 ft below the sea level
Step-by-step explanation:
We are told that the sub marine has a descending rate of 40 ft per minute.
Thus, after five minutes, the distance it would have descended would be 40 ft per minute * 5 minute = 200 ft
Thus, the submarine is expected to be 200ft below sea level
Help me please please
Answer:
1/2 = 2^-1 = 1/2
Step-by-step explanation:
The picture shows you that you find the number at 11:00 a.m. by dividing 1 by 2. That division is represented as ...
[tex]1\div2=\boxed{\dfrac{1}{2}}=\boxed{2^{-1}}=\boxed{1/2}[/tex]
__
Additional comment
It is somewhat difficult to tell exactly what "expanded form" is required for the fraction. We have taken a clue from the form used for positive exponents where the multiplication by 2 is shown. So, for negative exponents, we have shown the division by 2.
The 10 a.m. form might then be 1/4 = 2^-2 = 1/2/2.
What is the solution to log (10x-1)= logs(9x+ 7)?
6
O X=
6
19
O X=
19
X= 7
X= 8
Answer:
[tex]x=8[/tex]
Step-by-step explanation:
[tex]\log _{10}\left(10x-1\right)=\log _{10}\left(9x+7\right)\\\mathrm{Apply\:log\:rule:\:\:If}\:\log _b\left(f\left(x\right)\right)=\log _b\left(g\left(x\right)\right)\:\mathrm{then}\:f\left(x\right)=g\left(x\right)\\10x-1=9x+7\\\mathrm{Add\:}1\mathrm{\:to\:both\:sides}\\10x-1+1=9x+7+1\\\mathrm{Subtract\:}9x\mathrm{\:from\:both\:sides}\\10x-9x=9x+8-9x\\\mathrm{Simplify}\\x=8\\[/tex]
The solution of the equation ㏒₅(10x - 1) = ㏒₅(9x + 7) is x = 8.
What are Logarithms?A logarithm is simply the opposite function of the exponentiation.
It is the exponent to which a number or value is raised to get some other number.
That is, if c = aˣ, then we can write it as x =logₐ c.
Given that,
㏒₅(10x - 1) = ㏒₅(9x + 7)
Let the value of both be n.
So, ㏒₅(10x - 1) = n and ㏒₅(9x + 7) = n
By the definition of logarithms,
10x - 1 = 5ⁿ and 9x + 7 = 5ⁿ
So,
10x - 1 = 9x + 7
10x - 9x = 7 + 1
x = 8
Hence the value of x is 8.
Learn more about Logarithms here :
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Find the
a
circle
circumference of
whose
area is 616 cm
Answer: 88 cm
Step-by-step explanation:
The area of a circle is A=πr². Since we know the area, we can use find the radius, and use the radius to find the circumference,
616=πr²
196=r²
r=14
Now that we have the radius, we can use it to find the circumference. The formula for circumference is C=2πr.
C=2π(14)
C=28π
C=88 cm
Answer: 87.96 cm
Step-by-step explanation:
Radius = √a/π
=√616 / π = 14 cm
Circumference = 2πr
= 2 x π x 14
= 87.96 cm
Given the translation T(-2, 5), translate the given ordered pairs: (2, 5) and (-1, 7)
Answer:
When we have a translation T(a, b) and we apply it to a ordered pair (x, y), the translated pair will be (x + a, y + b)
Here whe have the translation T(-2, 5)
a) if our pair is (2, 5) then:
T(-2, 5) applied to (2, 5) = (2 + (-2), 5 + 5) = (0, 10)
b) if our pair is (-1, 7)
T(-2, 5) applied to (-1, 7) = (-1 + (-2), 7 + 5) = (-3, 12)
True or False: Perpendicular lines sometimes meet at angles that are not 90°.True or False: Perpendicular lines sometimes meet at angles that are not 90°.
Answer:
false
Step-by-step explanation:
that is the definition of a perpendicular line
Solve for x in the diagram below.
200
(3x + 10°
Answer:
x = 20°
Step-by-step explanation:
4x + 10 = 90
4x = 80
x = 20
Answer:
[tex] \boxed{x\degree = 20\degree} [/tex]
Step-by-step explanation:
Two Angles are Complementary when they add up to 90° (a Right Angle).
[tex] = > x\degree + (3x + 10)\degree = 90\degree \\ \\ = > x\degree + 3x\degree + 10\degree = 90\degree \\ \\ = > 4x\degree + 10\degree = 90\degree \\ \\ = > 4x\degree = 90\degree - 10\degree \\ \\ = > 4x\degree = 80\degree \\ \\ = > x\degree = \frac{80}{4} \degree \\ \\ = > x\degree = 20\degree [/tex]
I will mark it as brainliest whoever has the clearest explanation
Answer:
44 cm
Please see the attached picture for full solution
Hope it helps....
Good luck on your assignment
Which is the value of this expression when x = negative 2 and y = negative 3? 10 x cubed y squared Negative 720 Negative 360 360 720
Answer:
Step-by-step explanation:
10x^3y^2
10(-2)^3 * (-3)^2 = -720
Answer: Negative 720
Step-by-step explanation:
-2 * -2 * -2 = -8
10 * -8 = -80
-3 * -3 = 9
-80 * 9 = -720
find the smallest nom which is divisible by 4 7 8 16
Answer:
112
Step-by-step explanation:
find LCM
4,7,8,16=112