Answer:
9
Step-by-step explanation:
For each pizza variety, Daniel can choose 18 different toppings. Therefore, for 23 pizza varieties, Daniel can choose from 23 * 18 = 414 different combinations of varieties and toppings.
For each pizza size, Daniel can choose from 414 different combinations of varieties and toppings. Therefore, for n pizza sizes, Daniel can choose from n * 414 = 3726 combinations
414n = 3726
divide both sides by 414 to isolate the n
n = 9
What is the surface area of a square prism with sides that measure 8 units?
Answer:
384 square units
Step-by-step explanation:
Square prism = Cube
Formula for finding the surface area of a cube = L x L (6)
Surface area = 8 x 8 (6)
Surface area = 64(6)
Surface area = 384 square units
Answer:
384 units squared
Step-by-step explanation:
Square 8 and then multiply by 6.
find the value of x give reasons to justify your solutions b ∈ ac, d ∈
help asap please!! will award brainliest
Answer:
x = 27°
Step-by-step explanation:
180° - 72° = 108°
108° / 4 = 27°
72° + (27° * 4) = 180°
Hope it helps!
In ABC, what is the measure of angle B?
Answer:
D
Step-by-step explanation:
The sum of two remote interior angles (a remote interior angle is the interior angle that is not supplementary to the exterior angle given -- in this case A and B are remote angles) equals the exterior angle.
In This case A + B = 140
A = x + 2
B = 2x
x +2 + 2x = 140
3x + 2 = 140 Subtract 2 from both sides
3x = 138 Divide by 3
x = 138/3
x = 46
<B = 2x
<B = 2*46
<B = 92
31/6=0.1875. Which calculation is NOT a way to find 9/16?
Answer:
A
or
the top right option
or
0.5 + 0.1875
Step-by-step explanation:
We know D or 9 divided by 16 is the same as 9/16, so just solve for that.
Then solve for the others and find the ones that doesn't equal 9/16.
ayone amos right now gonna be answering : yungbreezyf2
ill add you if you follow my t i k t o k(:
A force of 80 N is exerted on an object on a frictionless surface for a distance of 4 meters. If the object has a mass of 10 kg, calculate its velocity
Answer:
V = 8 m/s
Step-by-step explanation:
Assuming that the object was at rest, so μ = 0
Equations
F=ma - Newtons 2nd law
[tex]v^{2} = u^{2} + 2a[/tex]Δx - 4th kinematic equatioin
Step 1 - find "a"
F=m/a
a=F/m
a=80/10
a=8m/s^2
Step 2 - find "v"
v^2 = 0 + 2 * 8 * 4
v^2 = 64
v=8m/s
solue for x
X(3 + X) = 3x + x²
Answer:
here,
3x-3x=
[tex] {x}^{2} - {x}^{2} [/tex]
x=0
I really need help anyone know which option is correct.?
Answer:
B, [tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
This problem is essentially asking one to envision a line passing through the set of points on the coordinate plane, then to find the constant of proportionality of that line. The constant of proportionally, also known as the rate of change, or the slope, is a number that can be used to describe the range that happens between points on a line. The following formula can be used to find the slope of a line passing through a set of points.
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Where the points ([tex]x_1,y_1[/tex]) and ([tex]x_2,y_2[/tex]) are points on the line.
As one can see, on the given coordinate plane, the points ([tex]2,-1[/tex]), and ([tex]4,-2[/tex]) are on the coordinate plane. Substitute these points into the formula to find the slope of the line, then simplify to evaluate the equation and find the slope,
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
([tex]2,-1[/tex]), ([tex]4,-2[/tex])
[tex]=\frac{-2-(-1)}{(4)-(2)}[/tex]
[tex]=\frac{-2+1}{4-2}\\\\=\frac{-1}{2}\\\\=-\frac{1}{2}[/tex]
Write an equation of a line with the given slope and y-intercept.
m = , b = 2
Answer:
Equation is y = mx + 2
Step-by-step explanation:
General equation of line:
[tex]{ \boxed{ \bf{y = mx + b}}}[/tex]
Substitute in considerance of the question:
[tex]{ \sf{ y = mx + 2}}[/tex]
If m is given, substitute for m to the answer.
Given that sin 0 = 21/29, what is the value of cose, for 0° <0<90°? please help
Answer:
3rd option
Step-by-step explanation:
Using the identity
sin²x + cos²x = 1 ( subtract sin²x from both sides )
cos²x = 1 - sin²x ( take the square root of both sides )
cosx = ± [tex]\sqrt{1-sin^2x}[/tex]
Given
sinθ = [tex]\frac{21}{29}[/tex] and 0 < θ < 90 , then
cosθ
= [tex]\sqrt{1-(\frac{21}{29})^2 }[/tex]
= [tex]\sqrt{1-\frac{441}{841} }[/tex]
= [tex]\sqrt{\frac{400}{841} }[/tex] = [tex]\frac{\sqrt{400} }{841}[/tex] = [tex]\frac{20}{29}[/tex]
At noon, Garrett left Magnolia and headed North at 10 kph. At 2 p.m., Ben left Magnolia and headed North. If Ben was 15 km ahead of Garrett at 7 p.m., how fast was Ben
traveling?
Choose one answer.
O
a. 17 kph
o
b. 12 kph
c. 21 kph
Ο Ο
d. 16 kph
Answer:
Step-by-step explanation:
This is simple, but the extra numbers given in the form of the specific times might throw you off.
If Garrett leaves at noon and at 7 Ben is some distance ahead of him, that means that Garrett has been driving for 7 hours. Ben left at 2, so at 7 pm he has been driving for 5 hours. That's part of what's confusing. We'll put that in a table to hopefully make things easier:
d = r * t
G 7
B 5
We also know that Garrett is driving at 10 km/h, so:
d = r * t
G 10 * 7
B r 5
The r is because Ben's rate is our unknown. Look at the top of the table. That is the formula we are going to use to solve this problem: d = rt.
If Garrett drives for 7 hours at 10 km/hr, then the distance he has traveled is 70 km (that's found by multiplying the rate of 10 km/h by the time of 7 hours). Ben's rate, along those same lines of reasoning, is 5r. Fill that in:
d = r * t
G 70 = 10 * 7
B 5r = r * 5
Ok now the table is filled out. Let's look at the rest of the problem. It says that at 7 pm Ben's distance is 15 km more than Garrett's distance. The words "more than" indicate addition. In words that is
"Ben's distance is Garrett's distance plus 15 km" which translates to, mathematically speaking:
5r = 70 + 15 and
5r = 85 so
r = 17
Ben's rate is 17 km/h, choice a.
Can anyone help please with the question please
Answer:
f(x) -5x
g(x) -85x²
f(x) . g(x)
-90x
Answer:
36x³ + 25x² + 12x + 2
Step-by-step explanation:
f(x) × g(x)
= (- 4x - 1)(- 9x² - 4x - 2)
Each term in the second factor is multiplied by each term in the first factor
- 4x(- 9x² - 4x - 2) - 1 (- 9x² - 4x - 2) ← distribute parenthesis
= 36x³ + 16x² + 8x + 9x² + 4x + 2 ← collect like terms
= 36x³ + 25x² + 12x + 2
Hope made 3 different yo-yo's. She used 1 3/4 meters of string for the first yo-yo, 1 meter of string
Answer:
See explanation
Step-by-step explanation:
Your question is different from the attachment
Statement 1
1 adult + 5 Children
$4 for adult and total of $16 for both adult and children
Let
Cost of children skating = x
The equation is
4 + 5x = 16
Statement 2:
Cost of making a bike bag= $4
Selling price of the bike bag = $5
Profit = $16
Let x = number of bike bag
Profit = selling price - cost price
16 = 5x - 4x
16 = x(5 - 4)
Also written as
(5 - 4)x = 16
Statement 3:
Initial temperature = 16°C
Change in temperature per hour = 4°C
Final temperature = 5°C
Let
x = number of hours it changes
16 - 4x = 5
Hope made 3 different yo-yos. She used 1 3/4 meters of string for the first yo-yo, 1 meter of string for the second yo-yo, and a total of meters of string 4 1/3
length of first yo-yo = 1 3/4
length of second yo-yo = 1
Length of third yo-yo = x
Total = 4 1/3
Total length = length of first yo-yo + length of second yo-yo + length of third yo-yo
4 1/3 = 1 3/4 + 1 + x
4 1/3 = 2 3/4 + x
4 1/3 - 2 3/4 = x
13/3 - 11/4 = x
(52-33) / 12 = x
19/12 = x
x = 1 7/12
find length of missing sides just fill in the missing blanks I need the answer dont have to put the explanation
A 30-60-90 triangle follows a unique pattern. It's hypotenuse is double the shortest leg and its longest leg is the shortest leg times the square root of 3.
In this case, we are given the hypotenuse. The hypotenuse is 2 times the shortest leg, so the shortest leg, f, must be 10.
Then, the longest leg of the triangle is the shortest leg times the square root of 3. Therefore, the longest leg is 10 times sqrt(3).
Hope this helps!
A whole number has the first four odd prime numbers as its factors. What is the smallest value this whole number could be?
a. 1 155
b. 945
c. 105
d. 210
Answer:
3×5×7×11=1155
a.1155 the answer
3×5×7×11=1155
What are prime factors?A natural number other than 1 whose only factors are 1 and itself is said to have a prime factor. In actuality, the first few prime numbers are 2, 3, 5, 7, 11, and so forth.
Given
3×5×7×11=1155
To learn more about prime factors refer to:
https://brainly.com/question/1081523
#SPJ2
what is two plus two
Step-by-step explanation:
2+2=4
two plus two is four
Step-by-step explanation:
2+2=4it's four (4)The diagram below represents which percent?
An area model with 4 shaded sections and 1 unshaded section.
Answer:
25%
Step-by-step explanation:
1 ÷ 4 = 0.25
0.25 x 100 = 25 = 25%
For all of the Following use the function LaTeX: P\left(x\right)\:=\:\left(x+3\right)^2+2 . My original vertex is
Answer:
A) Q(x) = (x + 3)² + 5, and the vertex is (-3, 5)
B) R(x) = (x - 3)² + 2, and the vertex is (3, 2)
C) S(x) = (x - 1)² - 5, and the vertex is (1, -5)
Step-by-step explanation:
The given function is P(x) = (x + 3)² + 2
The given function is a parabolic function in vertex form, f(x) = a·(x - h)² + k, and vertex, (h, k)
By comparison, the vertex of the function P(x) = (x + 3)² + 2 is (-3, 2)
A) A function f(x) translated α units UP gives
f(x) (translated α units UP) → f(x) + α
A translation of the function 3 units UP is given by adding 3 to the given function as follows;
Q(x) = P(x) + 3
∴ Q(x) = (x + 3)² + 2 + 3 = (x + 3)² + 5
Q(x) = (x + 3)² + 5, and the vertex by comparison to f(x) = a·(x - h)² + k, and vertex, (h, k) is (-3, 5)
B) A function f(x) translated b units RIGHT gives;
f(x) translated b units right → f(x - b)
∴ P(x) = (x + 3)² + 2 translated 6 units RIGHT gives;
P(x) = (x + 3)² + 2 (translated 6 units RIGHT) → R(x) = (x + 3 - 6)² + 2 = (x - 3)² + 2
R(x) = (x - 3)² + 2, and the vertex by comparison is (3, 2)
C) A function translated α units DOWN and b units RIGHT is given as follows;
[tex]f(x) \ translated \ by\ \dbinom{b}{a} \rightarrow f(x - b) - a[/tex]
Therefore, the given function, P(x) = (x + 3)² + 2, translated 7 units DOWN and 4 units RIGHT gives;
[tex]P(x) = (x + 3)^2 + 5 \ translated \ by\ \dbinom{4}{-7} \rightarrow P(x - 4) - 7 = S(x)[/tex]
S(x) = P(x - 4) - 7 = (x + 3 - 4)² + 2 - 7 = (x - 1)² - 5
[tex]P(x) = (x + 3)^2 + 5 \ translated \ by\ \dbinom{4}{-7} \rightarrow (x - 1)^2 - 5= S(x)[/tex]
S(x) = (x - 1)² - 5, and the vertex by comparison is (1, -5)
Which graph represents an odd function?
Answer:
the second one (the one on the bottom)
Step-by-step explanation:
An odd function is where f(x) = -f(x), and therefore is unchanged when rotated 180 degrees about the origin. This results in the bottom graph.
Need help asapppppppppp
Given a triangle MTN, prove that
<m+<t+<n= 180° strictly
use m, T and N with other
Letters in your triangle.
Answer:
[tex]\angle m + \angle t + \angle n = 180[/tex]
Step-by-step explanation:
Required
Show that:
[tex]\angle m + \angle t + \angle n = 180^o[/tex]
To make the proof easier, I've added a screenshot of the triangle.
We make use of alternate angles to complete the proof.
In the attached triangle, the two angles beside [tex]\angle m[/tex] are alternate to [tex]\angle t[/tex] and [tex]\angle n[/tex]
i.e.
[tex]\angle 1 = \angle t[/tex]
[tex]\angle 2 = \angle n[/tex]
Using angle on a straight line theorem, we have:
[tex]\angle 1 + \angle m + \angle 2 = 180[/tex]
Substitute values for (1) and (2)
[tex]\angle t + \angle m + \angle n = 180[/tex]
Rewrite as:
[tex]\angle m + \angle t + \angle n = 180[/tex] -- proved
The lengths of the sides of a triangle are 3, 3, 312. Can the tangle be a right triangle?
Answer:
Yes it can be right angle triangle
Find the length of the segment indicated. Round to the nearest 10th if necessary
(10 points help plz )
Let be the density function for the shelf life of a brand of banana which lasts up to weeks. Time, , is measured in weeks and . Incorrect answer icon Your answer is incorrect. Find the mean shelf life of a banana using . Round your answer to one decimal place. Mean
The question is incomplete. The complete question is :
Let [tex]p(t) = -0.0375t^2 + 0.225t[/tex] be the density function for the shelf life of a brand of banana which lasts up to 4 weeks. Time, t, is measured in weeks and [tex]$0 \leq t \leq 4$[/tex]. Incorrect answer icon Your answer is incorrect. Find the mean shelf life of a banana using . Round your answer to one decimal place.
Answer:
2.4
Step-by-step explanation:
Given :
[tex]p(t) = -0.0375t^2 + 0.225t[/tex]
Mean :
[tex]$=\int_0^4 tp (t) \ dt$[/tex]
[tex]$=\int_0^4 t (0.0375 t^2 + 0.225t) \ dt$[/tex]
[tex]$=-0.0375 \int_0^4 t^3 \ dt + 0.225 \int_0^4 t^2 \ dt$[/tex]
[tex]$=-0.0375 \left[ \frac{t^4}{4} \right]^4_0 + 0.225 \left[ \frac{t^3}{3} \right]^4_0$[/tex]
[tex]$=-0.0375 (64) + 0.225 \left( \frac{64}{3} \right)$[/tex]
[tex]$=-2.5 + 4.8$[/tex]
= 2.4
Therefore, the mean is 2.4
(4.23)(1.6) please multiple
Answer:
The correct answer is 6.768.
Step-by-step explanation:
(4.23)(1.6) = 6.768
Answer:
6.768
Step-by-step explanation:
(4,23)(1.6)=6.768
what is the measure of angle k?
Answer:
Hence the answer is Letter B.
Step-by-step explanation:
° ° °
Help pls will give brainliest
Answer:
b
Step-by-step explanation:
area of triangle = 1/2 x c x d =cd/2
area of semicircle = 1/2 x π x r^2 = 1/2 x π x (a/2)^2 = 1/2 x π x a^2/4 =πa^2/8
area of shape = area of triangle + area of semicircle
Which angles are congruent to each other?
Angle 4 and Angle 3
Angle 3 and Angle 7
Angle 8 and Angle 5
Angle 1 and Angle 3
Answer:
1 and 3 are congruent
Answer:
Angle 1 and angle 3 are congruent
determine the general term of this sequence -15:-11;-7;,,173
Answer:
UWUNOE BRO HUUZEM HIHUDHS
Step-by-step explanation:
Help me with my work plz.
Answer:
(√366 - 3)/24
Step-by-step explanation:
Given the following:
cos∝ = √3/8 and sinβ = √3/3
Sin(∝-β) = sin∝cosβ - cos∝sinβ
Get sin∝
Since cos∝ = √3/8
adj = √3
hyp = 8
opp = √8² - (√3)²
opp = √64 - 3
opp = √61
Recall that sin∝ = opp/hyp
sin∝ = √61/8
Get cosβ
Since sinβ = √3/3
opp = √3
hyp = 3
adj =√3² - (√3)²
adj = √9-3
adj = √6
Recall that cosβ = adj/hyp
cosβ = √6/3
Substitute the gotten values into the formula
Sin(∝-β) = sin∝cosβ - cos∝sinβ
Sin(∝-β) = ( √61/8)(√6/3)- (√3/8)(√3/3)
Sin(∝-β) = √366/24 - √9/24
Sin(∝-β) = (√366 - 3)/24
