Gina is building a rectangular prism out of sugar cubes for her art class project. She started by drawing a diagram of the rectangular prism that is 4 cubes high, 4 cubes long and 2 cubes wide. How many cubes does she use to make the prism?
The rectangular prism is made up of the dimensions
Lenght = 4 cubes
Width = 2 cubes
Height = 4 cubes
The total number of cubes she needs shall be derived as number of cubes along the lenght multiplied by number of cubes along the width, and then multiplied by number of cubes along the height. Therefore, she would have:
[tex]volume = l \times w \times h \\ volume \: = 4 \times 2 \times 4 \\ volume = 32 \: cubes[/tex]
Therefore, She need 32 cubes to make the prism.
1.19x10^-7 in standard notation
Answer:
it should be 1.19 x 10^-7
Step-by-step explanation:
Hope its correct.
find the area of the composite shape
Answer:
96 m²
Step-by-step explanation:
To calculate the area of a composite shape, you must divide the shape into rectangles, triangles, or other shapes.
A = l × w
L = length
W = width
Find the area and then add the areas back together.
12m × 8m
= 96 m²
The area of the composite shape is 96 m²
Let f(x) = 7x² + 19x + 21 and g(x) = 4x² + 4x + 3 . Identify the solution(s) of f(x) = g(x).
Answer:
-3 and -2
Step-by-step explanation:
7x² + 19x + 21 = 4x² + 4x + 3
combine like terms:
3x² + 15x + 18 = 0
3(x² + 5x + 6) = 0
(x + 3)(x + 2) = 0
x = -3
x = -2
Find domain and range of the following function
Answer:
Domain and Range are both all real numbers.
Step-by-step explanation:
Ice cream cones cost $1.10 and sundaes cost $2.35. One day, the receipts for a total of 172 cones and sundaes were $294.20. How many cones were sold.
Answer:88
Step-by-step explanation:
1.10c+2.35s=294.20
C+S=172
1.10c+2.35s=294.20 if you multiply by 100.
110c+235s=29420
-110 (cones + sundaes =172)
-110c-110s=-18920
125s/125=10500/125
S= 84
C+84=172
-84. -84
C= 88
Select the three ratios that represent the numbers of blue marbles to red marbles, there are 6 blue marbles and 9 red marbles
Answer:
6:9 or (2:3)
Step-by-step explanation:
A ratio is a term that gives comparison of values. It helps to determine
how much of a particular thing that is compare to other thing.
Given:
numbers of blue marbles= 6
numbers of red marbles= 9
Hence, ratios that represent the numbers of blue marbles to red = 6:9
We can reduce it using factor of 3, hence the ratio becomes(2:3)
What is the measure of ∠A, the exterior angle of the triangle shown below?
F. m∠A = 92°, because 180 – (50 + 38) = 92.
G. m∠A = 272°, because 180 – (50 + 38) = 92 and 92 + 180 = 272. H.m∠A=78°,because 50–38=12and90–12=78.
J. m∠A = 88°, because 50 + 38 = 88.
Answer: A is 88
Step-by-step explanation: Sum of all angles is 180 degree.
Let the third interior angle be x.
38+50+x=180
88+x=180
x= 92
A and X are in linear pair.
A+X=180
A+92=180
A=88
A scuba diver descended at the rate of 8 feet per second for one minute what was her total change in elevation over that period of time.
Answer:
480
Step-by-step explanation:
if you are descending 8 feet per second for one minute, you have to multiply 8 by 60 and that gives you 480. Hope it helps!
Read the excerpt from "Pilgrim at Tinker Creek The sharks disappeared as each wave rolled toward me then a new wave would swell above i scorpions in amber, sharks that roiled and heaved. Which answer best describes how the word roiled affects this excerpt? It demonstrates that the sharks are wiggling playfully in the water lt illustrates that the sharks are swaying gently. lt suggests that the sharks are moving violently. lt shows that the sharks are swimming in unison.
Answer:
Read the excerpt from "Pilgrim at Tinker Creek."
The sharks disappeared as each wave rolled toward me; then a new wave would swell above the horizon, containing in it, like scorpions in amber, sharks that roiled and heaved.
Which answer best describes how the word roiled affects this excerpt?
It shows that the sharks are swimming in unison.
It demonstrates that the sharks are wiggling playfully in the water.
It illustrates that the sharks are swaying gently.
It suggests that the sharks are moving violently.
Step-by-step explanation:
i took the test it is not c
A circle is centered at the point (-7,-1) and passes through the point (8, 7). The radius of the circle is ___ units. The point (-15, __ ) lies on this circle
Answer:
(x + 7)2 + (y + 1)2 = r2.
To get we use point (8, 7): (8 + 7)2 + (7 + 1)2 = r2, r2 = 225 + 64 = 289 = 172.
So, equation of circle: (x + 7)2 + (y + 1)2 = 289
Step-by-step explanation:
What is 602.88 rounded to the nearest hundredth?
Answer:
600
Step-by-step explanation:
Which choices are equivalent to the exponential expression below? Check all that apply (5/3)^3
Answer:
D is the answer
Step-by-step explanation:
f(3) = 12 for a geometric sequence that is defined
recursively by the formula f(n) = 0.5 ∙ f(n – 1), where
n is an integer and n > 0.
Write the equation in explicit form.
Answer:
[tex]f(n) = 96 * 0.5^n[/tex]
Step-by-step explanation:
Given
[tex]f(3) = 12[/tex]
[tex]f(n) = 0.5 * f(n-1)[/tex]
Required
Write as an explicit function
When n = 3, we have:
[tex]f(3) = 12[/tex]
[tex]f(3) = 0.5 * f(3-1)[/tex]
[tex]f(3) = 0.5 * f(2)[/tex]
Substitute: [tex]f(3) = 12[/tex]
[tex]12 = 0.5 * f(2)[/tex]
Solve for f(2)
[tex]f(2) = 12/0.5[/tex]
[tex]f(2) = 24[/tex]
So, we have;
[tex]f(3) = 12[/tex]
[tex]f(2) = 24[/tex]
Since it is a geometric sequence, calculate the common ratio (r)
[tex]r = \frac{f(3)}{f(2)}[/tex]
[tex]r = \frac{12}{24}[/tex]
[tex]r = 0.5[/tex]
Calculate the first term using:
[tex]r = \frac{f(2)}{f(1)}[/tex]
Solve for f(1)
[tex]f(1) = \frac{f(2)}{r}[/tex]
[tex]f(1) = \frac{24}{0.5}[/tex]
[tex]f(1) = 48[/tex]
The explicit function is then calculated as:
[tex]f(n) = f(1) * r^{n-1[/tex] ----nth term of a gp
[tex]f(n) = 48 * 0.5^{n-1[/tex]
Split the exponent
[tex]f(n) = 48 * \frac{0.5^n}{0.5^1}[/tex]
[tex]f(n) = 48 * \frac{0.5^n}{0.5}[/tex]
[tex]f(n) = 96 * 0.5^n[/tex]
who can help me with these
Find the area (include units in your response
Answer: 128
Step-by-step explanation: a=bh so 16 x 8 =128
Naomi's bill for breakfast at a restaurant was $82.She left a15% tip.What was the amount of the tip?
Answer:
$12.30 is the tip
Answer:
$12.30 is the answer.
Step-by-step explanation:
82 * 0.15 = 12.3
Marco got 15 questions wrong on his 30-question test. What is his grade as a percent?
Answer:
15
Step-by-step explanation:
The grade percentage of Marco is 50%.
What is percentage?A percent is a dimensionless number, meaning that it has no units of measurement, since it represents a part of whatever whole is being measured.
Given that, Marco got 15 questions wrong on his 30-question test.
We need to find his grade as a percent,
So,
Since he got 15 answers wrong,
Therefore, his correct answers = 30-15.
That mean his grade in marks = 15
Now, his grade in percent = 15/30 x 100 = 50%
Hence the grade percentage of Marco is 50%.
Learn more about percentage click;
https://brainly.com/question/29306119
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A pair of dice are rolled. What is the probability of getting a sum less than 8?
the other person said 'a regular dice'
that is not what im asking im asking for the answer
Answer:
21/36 or 7/12
Step-by-step explanation:
1+1
1+2, 2+1, 2+2
1+3, 3+1, 2+3, 3+2, 3+3, 3+4
1+4, 4+1, 2+4, 4+2, 4+3
1+5, 5+1, 2+5, 5+2
1+6, 6+1
What does 1,000 pennies + 100 nickels + 10 dimes + 10 quartes equal what?
need it fast plz
Answer:
1850 cents
Step-by-step explanation:
1000 pennies = 1000 cents (Multiply by 1)
100 nickels = 500 cents (Multiply by 5)
10 dimes = 100 cents (Multiply by 10)
10 quarters = 250 cents (Multiply by 25)
Total:
1000 + 500 + 100 + 250 = 1850 cents
PLEASE HELP! with this math question
Last question!!!!!
explain if posible
Answer:
<ABT = 43°<TBC = 43°Step-by-step explanation:
Given,
Line BT is the bisector of <ABC
So,
3x + 13 = 5x - 7
=> 13 + 7 = 5x - 3x
=> 20 = 2x
[tex] = > x = \frac{20}{2} [/tex]
=> x = 10
As,
We got the value of x = 10
Therefore,
<ABT = 3x + 13 °
= 3×10 + 13 °
= 30 + 13°
= 43°
<TBC = 5x - 7°
= 5 × 10 - 7°
= 50 - 7°
= 43°
Hence,
Value of <ABT = 43° and value of <TBC = 43° (Ans)
plz just answer it im tired 6th times posting it :(
got scammed out of 100 points so plz
im sry if theres not much points i can give u 7 extra points if u do this
Answer:
l+t=12 3l+2t=32
Step-by-step explanation:
Which of the following relations is a function? A. (7, 1), (-2, 4), (3, 1), (7, 2) B. (3, 4), (-2, 6), (3, 3), (-7, 2) C. (3, 4), (-2, 2), (7, 1), (-7, 2) D. (3, 0), (-2, 3), (7, 1), (-2, 5)
Answer: B I believe
Step-by-step explanation:
I took a pic, I hope that's fine
Answer:
Well in order to find the y-intercept, the “x” has to be 0. To find that we need to find the pattern and to ind the pattern you would need to find the slope. The slope is -4 or 4/ -1
So the Y is 4 and the X is -1
So use that to add or subtract for the pattern
1, -4
0, 0
The y- Intercept is 0 or option (A)
Someone help and PLEASE make sure it’s right
Answer:
Acute angle, doesn't have a 90 degree angle to be a right triangle, neither a wide angle to be an obtuse triangle.
What is the value of the fraction below?
14/0
Answer:
It isn't a number so you would call it undefined
You can think of it like 14 divided by 0 and like siri said “Imagine that you have zero cookies, and you split them evenly among zero friends. How many cookies does each person get? See? It doesn’t make sense. And Cookie Monster is sad that there are no cookies, and you are sad that you have no friends.” In this case, “Imagine that you have 14 cookies, and you split them evenly among zero friends. How many cookies does each person get? See? It doesn’t make sense. And Cookie Monster is happy he gets 14 cookies, and you are sad that you have no friends.”
What Fractions are equal to one half?
Answer:
2/4 4/8 8/16 16/32
Step-by-step explanation:
Answer:
1/2
2/4
3/6
4/8
5/10
6/12
10/20
50/100
100/200
What are the missing coordinates of the vertices of this rectangle?
Answer:
A ( -d , e )
B ( - d , -e )
C ( d , - e )
Step-by-step explanation:
The centroid of the circle is on the origin.
This means that coordinates are an equal distance away from each other
Ex. Coordinate A and coordinate B are an equal distance away.
The only difference between the coordinates is the signs of the x and y values
This is determined by what quadrant the specific coordinate is in
Ex. Coordinate A is in Quadrant 2.
Coordinates in Quadrant 2 have a negative x value and a positive x value
Because Coordinate A and the given coordinates ( d , e ) have an equal distance between them all we have to do to find the missing coordinate is add a negative sign in front of the x value (d)
That being said, the coordinate of A is (-d,e).
This process is used to find the rest of the missing coordinates
for B
B lies in Quadrant 3
Quadrant 3 = ( -x , -y )
* add negative signs to the x and y value of the given coordinate *
B = ( -d , - e)
For C
C lies in Quadrant 4
Quadrant 4 = ( x , - y )
* add a negative sign to the y value of the given coordinate *
C = ( d, -e)
3. The function f(x) = -3.5x + 45;
0
rectangle in terms of its width,
x. Find the area of the rectangle
when its width is 9.5 units.