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gulaghasi [49]
3 years ago
11

A coffee shop offers 14 different types of flavor shots. If customer can choose any number of flavor shots to have in their coff

ee, how many flavor shot combinations are possible

Mathematics
1 answer:
koban [17]3 years ago
8 0

Answer:

Dear ortizcisco

Answer to your query is provided below

There is 1 combination flavour shot possible for a customer.

Step-by-step explanation:

Explanation is provided below in the image attached

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Find the value of x​
vodka [1.7K]

Answer:

x = 70

y = 110

z = 30

Step-by-step explanation:

all triangles add up to 180

30 + 80 = 110

180 - 110 = 70

x = 70

30 + 40 = 70

70 + 80 = 150

180 - 150 = 30

z = 30

40 + 30 = 70

180 - 70 = 110

y = 110

7 0
3 years ago
Identify the x-intercepts of the function below f(x)=x^2+12x+24
damaskus [11]

<u>ANSWER:  </u>

x-intercepts of  \mathrm{x}^{2}+12 \mathrm{x}+24=0 \text { are }(-6+2 \sqrt{3}),(-6-2 \sqrt{3})

<u>SOLUTION:</u>

Given, f(x)=x^{2}+12 x+24 -- eqn 1

x-intercepts of the function are the points where function touches the x-axis, which means they are zeroes of the function.

Now, let us find the zeroes using quadratic formula for f(x) = 0.

X=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Here, for (1) a = 1, b= 12 and c = 24

X=\frac{-(12) \pm \sqrt{(12)^{2}-4 \times 1 \times 24}}{2 \times 1}

\begin{array}{l}{X=\frac{-12 \pm \sqrt{144-96}}{2}} \\\\ {X=\frac{-12 \pm \sqrt{48}}{2}} \\\\ {X=\frac{-12 \pm \sqrt{16 \times 3}}{2}} \\\\ {X=\frac{-12 \pm 4 \sqrt{3}}{2}} \\ {X=\frac{2(-6+2 \sqrt{3})}{2}, \frac{2(-6-2 \sqrt{3})}{2}} \\\\ {X=(-6+2 \sqrt{3}),(-6-2 \sqrt{3})}\end{array}

Hence the x-intercepts of  \mathrm{x}^{2}+12 \mathrm{x}+24=0 \text { are }(-6+2 \sqrt{3}),(-6-2 \sqrt{3})

8 0
3 years ago
A small square pyramid of height 6 cm was removed from the top of a large square pyramid of height 12cm forming the solid shown.
Semmy [17]

Answer:

15,872 mm³

Step-by-step explanation:

given:

A small square pyramid of height 6 cm was removed from the top of a large square pyramid of height 12cm forming the solid shown.

Find:

the exact volume of the solid

solution:

volume of square base pyramid = (base area)² * h/3

where total h = 12 cm

height of top pyramid (ht)= 6 cm

height of bottom pyramid (hb) = 6 cm

bottom volume =  total volume - the volume on top

so,

total volume = 1/3 (base area)² h

                     = 1/3 (8*8)² * 12

                     = 16,384 mm³

volume on top = 1/3 (top base area)² h

                         = 1/3 (4*4)² * 6

                         = 512 mm³

finally: get the bottom volume:

bottom volume =  total volume - the volume on top

bot. vol = 16,384 mm³ - 512 mm³

             = 15,872 mm³

therefore,

the volume of the cut  pyramid base = 15,872 mm³

5 0
3 years ago
Read 2 more answers
What is 62394 rounded to the nearest ten
Semmy [17]

Answer:

62390

Step-by-step explanation:

you have to round up if it's 5 or more and round down if it's less.

3 0
3 years ago
The total surface area of this cuboid is 112cm squared find the value of x
Liono4ka [1.6K]

Answer:

The height of cuboid is 3 cm

Step-by-step explanation:

Total surface area of cuboid  = 2lb+2bh+2hl

Length of cuboid = 10 cm

Width of cuboid = 2 cm

Let the height be x

Total surface area of cuboid  = 2(10)(2)+2(2)(x)+2(x)(10)

Total surface area of this cuboid is 112 cm squared

 2(10)(2)+2(2)(x)+2(x)(10)=112

40+4x+20x=112

40+24x=112

24x=112-40

24x=72

x=\frac{72}{24}

x=3

Hence the height of cuboid is 3 cm

5 0
3 years ago
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