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atroni [7]
3 years ago
10

Given 16 = −5 + z4solve for z

Mathematics
2 answers:
AysviL [449]3 years ago
8 0
Hi,

16 = - 5 + z4 \\ - 4z + 16 = - 5 \\ - 4z = - 5 - 16 \\ - 4z = -21

Now just divide both sides of equation by -4.

z = \frac{21}{4}

Simplify:

z = 5 \frac{1}{4} \: \: \: \: \: \: \: \: \: \: \: \: \: fraction \: result

Decimal form:

z = 5.25 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: decimal \: result

Hope this helps.
r3t40
dmitriy555 [2]3 years ago
3 0

69 is the answer that makes the most sense. all the rest would not add up

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A culture of bacteria that initially contained 2000 bacteria has a count of 18000 after 2 hrs. Determine the function that expre
melomori [17]

Answer:

y= 8000x + 2000

Step-by-step explanation:

to find the formula we can use the points given in the question:

the slope:

to get the slope we can take the 2 points, (0,2000) and (2,18000) where x values are time and y values are bacteria

now using slope-intercept form we can get \frac{18000-2000}{2-0} which gives a slope of 8000 meaning for each hour there are 8000 new bacteria

intercept:

since we start with 2000 bacteria we know this is the y intercept so when x is 0

formula:

y=8000x + 2000

8 0
2 years ago
The vertices of a triangle are A(2,5), B(1, 2), and C(3, 1). Find the coordinates of the image after a dilation with respect
Dmitry_Shevchenko [17]

The coordinates of the image after a dilation with respect to the origin is A'' (2,10), B" (0,4), C" (4,2) .

<h3>How does dilation work?</h3>

Dilation of a figure will leave its sides get scaled (multiplied) by same number. That number is called the scale factor of that dilation.

Its also called scaling of a figure, but due to the involvement of coordinates, it involves a center of a dilation, which is like a pinned point that stays at the same place after dilation.

Its like we enlarge or shorten the size of the figure (or keep it same, when scale factor = 1).

The vertices of a triangle are A(2,5), B(1, 2), and C(3, 1).

A' = 2(2.5) = (4,10)

B' = 2(1,2) = (2,4)

C' = 2(3,1) = (6,2)

Translation of 2 units left means change in x

A'' = (4-2,10) = (2,10)

B" = (2-2,4) = (0,4)

C" = (6-2,2) = (4,2)

Translation of 1 units up means change in y

Learn more about vertices ;

brainly.com/question/27886655

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7 0
2 years ago
Help me pleaseeeeeee
morpeh [17]

Answer:

A

Step-by-step explanation:

u move the decimal place left 2 spaces and u would get 0.024

3 0
2 years ago
What is the beat estimate for the quotient? 591.3 device by 29
Sedbober [7]
Hi there!

To estimate, we can round:

591.3 is approximately 600
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Now, we divide:

600 / 30 = 20

Hope this helps!
6 0
3 years ago
Xanthe and Sarah do some fundraising for their local nursing home. Together they raised $$$302. If Xanthe raised $$$102 more tha
Dimas [21]

Given :

Xanthe and Sarah together raised $302 .

If Xanthe raised $102 more than Sarah .

To Find :

The amount raised by Sarah .

Solution :

Let , amount raise by Sarah is x .

So , by the relation given , price raised by Xanthe is 102 + x .

Now , sum of their amount raised is :

x+(x+102)=302\\\\2x=302-102\\\\x=\$100

Therefore , the amount raised by Sarah is $100 .

Hence , this is the required solution .

6 0
3 years ago
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