Answer: The number of sides of the base of a prism and the number of lateral faces is equal.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
edge exam
The function f(x) = 5x - 4 is changed to f(x) = 5x + 3. What is the result?
Answer: move up or add 7 in positive direction
Choose the best selection for the
quadrilateral with vertices at the
following points:
(4,0), (8,0), (4,-4), (8,-4)
Hint: Start by graphing the points.
Distance Formula: d= √(x2-x1)² + (y2-y1)²
A. Rectangle
B. Square
C. Rhombus
D. Trapezoid
Answer:
B. Square
Step-by-step explanation:
Finding the side lengths :
Side 1
⇒ d₁ = √(-4 - 0)² + (8 - 8)²
⇒ d₁ = √16
⇒ d₁ = 4
=============================================================
Side 2
⇒ d₂ = √(-4 + 4)² + (8 - 4)²
⇒ d₂ = √16
⇒ d₂ = 4
===========================================================
Side 3
⇒ d₃ = √(-4 - 0)² + (4 - 4)²
⇒ d₃ = √16
⇒ d₃ = 4
============================================================
Side 4
⇒ d₄ = √(0 - 0)² + (8 - 4)²
⇒ d₄ = √16
⇒ d₄ = 4
As all sides of the figure are equal, and it creates 4 right angles, it is a square.
Which of the following is not a triangle congruence theorem?
AAA
AAS
ASA
Answer:
A. (AAA)
Step-by-step explanation:
.....(AAA) "does not work because it can produce similar but not congruent triangles"
.....(AAS) "If two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent."
.....(ASA)"triangles are congruent if any two angles and their included side are equal in the triangles."
Hope This Helped
Mr. Franco's class wants to raise at least $750 for a fundraiser. Let r be the amount of money, in dollars, the class raised.help ASAP..
Answer:
>
Step-by-step explanation:
Cause 750 was the least they could raise
Answer:
>=
Step-by-step explanation:
>= because the teacher wants AT LEAST 750. at least meaning you can raise 750 or MORE
Can someone please help me!!
Multiplication is the process of multiplying. Jay lost 30 pounds in a period of 6 months.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
A.) The newly recorded temperature in January will be six times the temperature in February, therefore, we can write,
January = 6 × February = 6×(-3°F) = -18°F
Hence, the newly recorded temperature in January will be equal to -18°F.
B.) Change in water level on each day of the drought was equal to -4 inches, while the drought lasted for 1 week(7days), Thus, the net change in water level can be written as,
net change = 7 × -4 = -28inches
Hence, the net change in the water level during the drought was equal to -28 inches.
C.) Jay went on a diet for six months and lost 5 pounds each month, therefore, the net change in the weight will be equal to,
Net Change = 6 × 5 = 30 pounds
Hence, Jay lost 30 pounds in a period of 6 months.
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A scientist cools some water at a constant rate. The graph and table show
how the temperature of the water changes with time.
Which function models this situation?
Water Temperature
8
7
8
Time (minutes)
Temperature (°C)
2899 228 229
55
50
45
40+
35+
30
25
20
15
10
5
Time (minutes)
Temperature (°C)
A. a(n) = 46-n-(4-1)
B. a(n) = 46 - 40+1
C. a(n) = 46-(n-1)-4
D. a(n) = 46-47-1
9 10
5
30
6
26
The correct function that matches the data in the graph is a(n) = 46-(n-1)-4 (option C)
How to choose the correct option?The only way is to verify the function matches the data by replacing n.
For example, we know at 5 seconds the temperature is 30. Let's use 5 (n) to verify the function.
a(n) = 46-(5-1) x 4a(n) = 46- 4x 4a(n) = 46- 16a (n) = 30This option matches the value of the temperature.
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The quadratic function
d=-9x² + 40 models a
skateboarder's distance, in
feet, from the bottom of a hill
x seconds after the skateboarder
starts moving down the hill.
After how many seconds is the
skateboarder 4 ft from the
bottom of the hill?
A) 3s B) 4s C) 2s D) 3.5s
Please help!! Also if you could explain that would be great! Tysm!
Answer:
C
Step-by-step explanation:
equate d to 4 and solve for t , that is
- 9x² + 40 = 4 ( subtract 40 from both sides )
- 9x² = - 36 ( divide both sides by - 9 )
x² = 4 ( take square root of both sides )
x = [tex]\sqrt{4}[/tex] = 2
It takes 2 seconds for the skateboarder to be 4m from bottom of hill
Find the equation of a line that passes through the points (-4, -2) and (6, 3).
Answer:
[tex]y=\frac{1}{2} x[/tex]
Step-by-step explanation:
The equation of a line through two points can usually (except when the line is a vertical line) be written in slope intercept form, [tex]y=mx+b[/tex] , where "m" is the slope of the line, and "b" is the y-intercept of the line.
General outlineFind the slopeFind the y-interceptTo find "m", use the formula for slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{(3)-(-2)}{(6)-(-4)}[/tex]
[tex]m=\dfrac{3+2}{6+4}[/tex]
[tex]m=\dfrac{5}{10}[/tex]
[tex]m=\dfrac{1}{2}[/tex]
So, the slope is 1/2 and we know that the equation for the line that passes through these two points should look like: [tex]y=\frac{1}{2} x+b[/tex]
Step 2. Find the y-interceptTo find "b", substitute one of the known points, and solve for "b":
[tex]y=\frac{1}{2} x+b[/tex]
[tex](3)=\frac{1}{2} (6)+b[/tex]
[tex]3=3+b[/tex]
Subtracting 3 from both sides to isolate the "b"...
[tex](3)-3=(3+b)-3[/tex]
[tex]0=b[/tex]
So, the y-intercept is 0. Substituting into our line equation, [tex]y=\frac{1}{2} x+(0)[/tex] which simplifies to [tex]y=\frac{1}{2} x[/tex]
Solve for h.
6h= 7h + 5
H= ?
Answer:
h = -5
Step-by-step explanation:
1) Subtract 7th from both sides
6h = 7h + 5
6h - 7h= 7h + 5 - 7h
2) Simplify
- Combine like terms
6h - 7h = 7h + 5 - 7h
-h = 7h + 5 - 7h
- Combine like terms
-h = 7h + 5 - 7h
-h = 5
3) Divide both sides by the same factor
-h = 5
-h/-1 = 5/-1
4) Simplify
Cancel terms that are in both the numerator and denominator
h/-1 = 5/-1
h = 5/-1
Divide the numbers
h = 5/-1
h = -5
Answer:
The answer is H=-5
Step-by-step explanation:
Use the listing method to represent the following set. {x | x I, x ≤ 3}
....,0,1,2,3
4,5,6,7...
3,4,5,6....
Here the set given is
{x|x,x≤3}So the set should be
(-oo,3]The set elements are
{..,1,2,3}
Answer:
{ ..., 0, 1, 2, 3}
Step-by-step explanation:
Set notation is used in math to list numbers, objects or outcomes.
It uses curly brackets called "braces". Objects placed within the braces are the elements of the set.
Given set notation: { x | x ∈ I, x ≤ 3 }
The ∈ symbol means "is an element of".
Therefore, x ∈ I means that x is an element of the set of integers. (Integers are whole numbers that can be positive, negative, or zero).
The ≤ symbol means "less than or equal to".
Therefore, x ≤ 3 means that x is less than or equal to 3.
Therefore, the given set notation means:
x is an element of the set of integers less than or equal to 3
The listing method of set notation simply lists the numbers in the set.
The three dots "..." means it is infinite (goes on forever).
Therefore:
{ x | x ∈ I, x ≤ 3 } = { ..., 0, 1, 2, 3}
Presently, Victor is three times as old as Maria. Ten years ago, Victor was seven times as old as Maria. How old is each person now?
Step-by-step explanation:
v = Victor's age
m = Maria's age
v = 3m
v - 10 = 7(m - 10)
3m - 10 = 7m - 70
60 = 4m
m = 15
v = 3m = 3×15 = 45
Victor is 45 years old. Maria is 15 years old.
Graph the inverse of the line provided on the graph.
Drawing Tools
Click on a tool to begin drawing.
this question confuses me any help
Answer:
42.25π m²
Step-by-step explanation:
Let's solve!
⇒ Take the radius of the lawn to be 'r'
===========================================================
Then, area of the path equals :
⇒ Area of (lawn + path) - Area of lawn
⇒ π (r + 2)² - πr² = 30π
⇒ πr² - πr² + 4πr + 4π = 30π
⇒ 4πr = 26π
⇒ r = 6.5 m
===========================================================
Area of the lawn :
⇒ Area = πr²
⇒ Area = π × (6.5)²
⇒ Area = 42.25π m²
A coin is tossed 3 times. what is the probability of getting:
Answer correctly please
The probability of all heads, all tails, exactly two tails, exactly one head will be 1/8, 1/8, 3/8, and 3/8 respectively.
The complete question is given below.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
Then the total number of the event will be
Total event = 2³
Total event = 8 {HHH, HHT, HTH, THH, HTT, THT, HHT, TTT}
Then the probability of all heads will be
⇒ 1/8
Then the probability of all tails will be
⇒ 1/8
Then the probability of exactly two tails will be
⇒ 3/8
Then the probability of exactly one head will be
⇒ 3/8
More about the probability link is given below.
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What is the value of x?
What is the exact volume of the sphere?
56.3¯π ft³
274.625π ft³
366.16¯π ft³
1464.6¯π ft³
Answer:
1150.35 ft^3
Step-by-step explanation:
4/3πr^3 is the equation to find the volume of a sphere.
we know the radius is 6.5 feet so all we have to do is input it and calculate.
please give brainliest!
hope this helps
A soup can lid has a diameter of 8 cm and it is 15 cm tall. what is the area of the lid?
Answer:
50.27
Step-by-step explanation:
area for a circle is (pie)r^2
r^2=16
16xpie=50.27
2. Given 4x² + bx + 25, select a possible b value that will make this factorable. [A] b=-50 [B] b = -29 [C] b = 10 [D] b= 100
Answer:
b = 40 and -40
General form of Perfect square trinomial is
a
2
+
2
a
b
+
b
2
Therefore from
16
x
2
−
b
x
+
25
a
2
=
√
16
x
2
,
b
2
=
25
, then
a
=
±
4
x
,
b
=
±
5
take consideration a=4x and b=-5 (different sign), then
−
b
x
=
2
(
4
x
)
(
−
5
)
−
b
x
=
−
40
x
b
=
40
The perfect square is
(
4
x
−
5
)
2
=
16
x
2
−
40
x
+
25
.
if we consider a=4x and b=5 (same sign), then
−
b
x
=
2
(
4
x
)
(
5
)
−
b
x
=
40
x
b
=
−
40
The perfect square is
(
4
x
+
5
)
2
=
16
x
2
+
40
x
+
25
.
The first solution
(
4
x
−
5
)
2
is the best solution after comparing the expression given.
What are the values of x and y?
A- x=56, y=68
B- x=68, y=56
C- x=57, y=66
D- x=66, y=57
The value of "x" and "y".
Solution:Let's solve "x" first.
Given is a supplementary angle so it should add up to 180°
[tex]x=180-123[/tex]
[tex]\large\boxed{x=57°}[/tex]
Now, we can solve "y"
Given is an isosceles triangle so the opposite sides will be equal.
[tex]57+57[/tex]
[tex]114°[/tex]
Angle sum of triangle is 180° so, it should add up to 180°
[tex]y=180-114[/tex]
[tex]\large\boxed{y=66°}[/tex]
Therefore, the correct answer is option C
1 Pound brown sugar is equivalent to _____ cups
Answer:
3 1/2 or said as 3.5 cups is equal to 1 pound
Step-by-step explanation:
1 Pound brown sugar is equivalent to ___3 1/2 or 3.5 __ cups
Hope This Helped
Find g(x), where g(x) is the translation 8 units left of f(x)=x
Using translation concepts, it is found that function g(x) is given by:
g(x) = x + 8.
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.
In this problem, function g(x) is a translation 8 units left of f(x) = x, hence x -> x + 8 and:
g(x) = f(x +8) = x + 8.
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Write 320 g as a fraction of 2 kg. Give your answer in its simplest form.
Answer:
4/25
Step-by-step explanation:
Let's make the units the same :
2 kg = 2000 g
Now lets simplify this fraction :
Divide top and bottom by 2 until you can't :
320/2000 = 160/1000
160/1000 = 80/500
80/500 = 40/250
40/250 = 20/125
Now we divide top and bottom by 5 as 2 is not a factor of 125 :
20/125 = 4/25
This is our final answer
Hope this helped and brainliest please
The sum of 3 times a number and 7 is equal to 5. (translate into an equation)
Answer:
let n be the number then the sum of this number and 7 is n +7 and 3 times this sum is 3(n +7) 5 times the number less thirteen is 5n − 13
Step-by-step explanation:
Frank bought 6 pens and 3 highlighters in the school store and paid $21 for the whole purchase. His friend, Andy, paid $19 for 2 pens and 4 highlighters. If all pens cost the same and all highlighters cost the same, what is the price of one pen?
Answer:one pen = $1.50
Step-by-step explanation:
See picture for the math if that helps
Using p for pens, h for highlighter,
A for first equation
B for second equation
I used equation A to reduce to a usable substitute by dividing all by 3
And then isolating “h”.
Now substitute the value of “h” into equation B and solve for “p”
P=$1.50
To check your work, substitute p ($1.50) into equation B and solve for “h”
h=$4.00
Now substitute the p and h values into either equation A or B and solve, they equal the numbers given
G
ewrite the equation in Ax+By=C form.
se integers for A, B, and C.
y+4= -4(x-2)
Step-by-step explanation:
y + 4 = -4(x - 2) = -4x + 8
y - 4 = -4x
-4x - y = -4
4x + y = 4
Please help me with this
Answer:
1 and 4
Step-by-step explanation:
(x²+1)(x²-4) = x^4 -3x²-4
The green blank is 1 and the blue/purple is 4.
Hope this helped and brainliest please
Solve number 8 please
Answer:
see explanation
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k )² = r²
where (h, k ) are the coordinates of the centre and r is the radius
given
x² + y² - 8x + 8y + 23 = 0
collect the x and y terms together and subtract 23 from both sides
x² - 8x + y² + 8y = - 23
using the method of completing the square
add ( half the coefficient of the x / y terms )² to both sides
x² + 2(- 4)x + 16 + y² + 2(4)y + 16 = - 23 + 16 + 16
(x - 4)² + (y + 4)² = 9 ← in standard form
with centre = (4, - 4 ) and r = [tex]\sqrt{9}[/tex] = 3
this is shown in graph b
Explain how to solve
Answer:
198 cm^3
Step-by-step explanation:
volume = 22/7 * 3^2 * 7
volume = 22/7 * 7 * 3^2
volume = 22 * 3^2
volume = 22 * 9
volume = 198
Can somebody please help me with this?
Answer:
The slope of the line is:
[tex]-\frac{3}{4}[/tex]
Slope of a parallel line is the same:
[tex]-\frac{3}{4}[/tex]
Slope of a perpendicular line, invert the sign and fraction:
[tex]\frac{4}{3}[/tex]
Hope this helps
I need help with this question . I have 1 answer and this question has 4 answers I already found 1.
Answer:
A , C , E , F
Step-by-step explanation:
If you have to write the solution, just tell me.