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dsp73
1 year ago
6

Plane STL and plane Z would intersect at

Mathematics
2 answers:
mina [271]1 year ago
6 0
D NONE OF TGE ABOVE
C THE LETTER ONTHE FRONTWILL BE W THE LETTER ON THE BOTTOM WILL BE W
Sveta_85 [38]1 year ago
3 0

⇒When two planes intersect, their intersection is a line.

 When , Plane STL and plane Z , intersect, their intersection is Segment TL.

Option D:  None Of The Above

⇒Option A

The letter on the front will be W .

The letter on the bottom will be X.

   

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An Adult ticket at an amusement park costs $24.95 and a child's ticket costs $15.95. A group of 10 people paid $186.50 to enter
leva [86]

Answer:

There were 3 adults

Step-by-step explanation:

Step 1: Derive the first expression

a+c=10...equation 1

where;

a=number of adults

c=number of children

And total number of people=10

Step 2: Derive the second expression;

Total cost of tickets=(price per child ticket×number of children)+(price per adult ticket×number of adults)

where;

Total cost of tickets=$186.50

price per child ticket=$15.95

price per adult ticket=$24.95

number of children=c

number of adults=a

replacing;

(15.95×c)+(24.95×a)=186.5

24.95 a+15.95 c=186.5....equation 2

Step 3: Combine equation 1 and 2 and solve simultaneously

24.95 a+15.95 c=186.5

-

24.95(a+c=10)

(24.95 a-24.95 a)+(15.95 c-24.95 c)=186.5-(24.95×10)

-9 c=-63

c=-63/-9

c=7

replace the value for c in equation 1

a+c=10

a+7=10

a=10-7

a=3

There were 3 adults

6 0
2 years ago
Which function has a range of y < 3?
Setler79 [48]

Using a graphing tool

Let's graph each of the cases to determine the solution of the problem

<u>case A)</u> y=3(2^{x})  

see the attached figure N 1

The range is the interval--------> (0,∞)

y> 0

therefore

the function y=3(2^{x}) is not the solution

<u>case B)</u> y=2(3^{x})

see the attached figure N 2  

The range is the interval--------> (0,∞)

y> 0

therefore

the function y=2(3^{x}) is not the solution

<u>case C)</u> y=-2^{x}+3  

see the attached figure N 3    

The range is the interval--------> (-∞,3)  

y< 3

therefore

the function   y=-2^{x}+3    is the solution

<u>case D)</u> y=2^{x}-3  

see the attached figure N 4  

The range is the interval--------> (-3,∞)  

y>-3

therefore

the functiony=2^{x}-3 is not the solution

<u>the answer is</u>

y=-2^{x}+3

5 0
2 years ago
Read 2 more answers
Charles wants to find out if the students in foreign language classes spend more time in class speaking in English or in the for
Nuetrik [128]

C. The way the sample was chosen may overrepresent or underrepresent students taking certain language classes.

The samples he chose may not be a representative sample because the number of students per foreign language class may not be the same. Since classes have different numbers of students, one may have a very large number of students while another may have only a few. Taking equal number of students per class is not a representative sample because it doesn't represent the students correctly.

6 0
1 year ago
Read 2 more answers
Apply the distributive property to factor out the greatest common factor of all three terms. 24c+36d+18
mihalych1998 [28]

Answer:

GCF = 6

Step-by-step explanation:

24c+36d+18

6(4c)+6(6d)+6(3)

6(4c+6d+3)

7 0
1 year ago
Solve the following quadratic equations by extracting square roots.Answer the questions that follow.
Vikentia [17]

Answer:

1.  x=±4

2. t=±9

3. r=±10

4. x=±12

5. s=±5

Step-by-step explanation:

1. x^2 = 16

Taking square root on both sides

\sqrt{x^2}=\sqrt{16}\\\sqrt{x^2}=\sqrt{(4)^2}\\

x=±4

2. t^2=81

Taking square root on both sides

\sqrt{t^2}=\sqrt{81}\\\sqrt{t^2}=\sqrt{(9)^2}

t=±9

3. r^2-100=0

r^{2}-100=0\\r^2 =100\\Taking\ Square\ root\ on\ both\ sides\\\sqrt{r^2}=\sqrt{100}\\\sqrt{r^2}=\sqrt{(10)^2}

r=±10

4. x²-144=0

x²=144

Taking square root on both sides

\sqrt{x^2}=\sqrt{144}\\\sqrt{x^2}=\sqrt{(12)^2}

x=±12

5. 2s²=50

\frac{2s^2}{2} =\frac{50}{2}\\s^2=25\\Taking\ Square\ root\ on\ both\ sides\\\sqrt{s^2}=\sqrt{25}\\\sqrt{s^2}=\sqrt{(5)^2}

s=±5 ..

4 0
1 year ago
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