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Ghella [55]
3 years ago
8

The expression 5/9 (F – 32) shows how to convert from degrees Fahrenheit to degrees Celsius, where F represents the temperature

in degrees Fahrenheit. What is the temperature in degrees Celsius when the temperature is 113 degrees F?
Mathematics
1 answer:
cricket20 [7]3 years ago
5 0

10 degrees ferenhight

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Will get brainliest!!!!!!!!!!! <br>1 − 3(3 + 6b) = −6(3b + 1) − 2
Arlecino [84]

Answer:

b = infinity

Step-by-step explanation:

1 − 3(3 + 6b) = −6(3b + 1) − 2

1 - 9 - 18b = -18b + 1 -2

1 - 9 = 1 - 2

-8 = -1

7 0
3 years ago
Check screenshot. that is where the question is placed.
Marianna [84]
C is the awnser I believe correct me if I’m wrong
4 0
3 years ago
A tunnel is built in form of a parabola. The width at the base of tunnel is 7 m. On
anastassius [24]

Given:

The width at the base of parabolic tunnel is 7 m.

The ceiling 3 m from each end of the base there are light fixtures.

The height to light fixtures is 4 m.

To find:

Whether it is possible a trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel.

Solution:

The width at the base of tunnel is 7 m.

Let the graph of the parabola intersect the x-axis at x=0 and x=7. It means x and (x-7) are the factors of the height function.

The function of height is:

h(x)=ax(x-7)             ...(i)

Where, a is a constant.

The ceiling 3 m from each end of the base there are light fixtures and the height to light fixtures is 4 m. It means the graph of height function passes through the point (3,4).

Putting x=3 and h(x)=4 in (i), we get

4=a(3)((3)-7)

4=a(3)(-4)

\dfrac{4}{(3)(-4)}=a

-\dfrac{1}{3}=a

Putting a=-\dfrac{1}{3}, we get

h(x)=-\dfrac{1}{3}x(x-7)              ...(ii)

The center of the parabola is the midpoint of 0 and 7, i.e., 3.

The width of the truck is 4 m. If is passes through the center then the truck must m 2 m on the left side of the center and 2 m on the right side of the center.

2 m on the left side of the center is x=1.5.

A trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel is possible if h(1.5) is greater than 2.8.

Putting x=1.5 in (ii), we get

h(1.5)=-\dfrac{1}{3}(1.5)(1.5-7)

h(1.5)=-(0.5)(-5.5)

h(1.5)=2.75

It is clear that h(1.5)<2.8, therefore the trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel is not possible.

4 0
3 years ago
"if z is a standard normal variable, find the probability. the probability that z lies between 0 and 3.01"
spayn [35]
Probability between z = 0 and z = 3.01 is given by

P(0<z<3.01) = P(z<3.01) - P(z<0)

Reading from the z-table, we have
P(z<0) = 0.5
P(z<3.01) = 0.9987

Hence, P(0<z<3.01) = 0.9987 - 0.5 = 0.4987

5 0
3 years ago
What is the eighth term in the sequence x+3, - 2x^2 - 6x, 4x^3 +12x^2​
Anastasy [175]

Answer:

a_8=-128x^8-384x^7

Step-by-step explanation:

The terms of the sequence are:

x+3,-2x^2-6x,4x^3+12x^2,...

We can rewrite the terms in factored form to get;

x+3,-2x(x+3),4x^2(x+3),...

We can see that the subsequent terms are obtained by multiplying the previous term by -2x. This is called the common ratio.

Therefore the first term of this geometric sequence is a_1=x+3 and the common ratio is r=-2x.

The nth term of a geometric sequence is given by: a_n=a_1(r^{n-1}).

Let us substitute the first term, the common ratio, and n=8 to obtain:

a_8=(x+3)(-2x)^{8-1}

a_8=(x+3)(-2x)^{7}

a_8=-128x^7(x+3)

a_8=-128x^8-384x^7

3 0
3 years ago
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