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Citrus2011 [14]
3 years ago
5

sqrt%7B50%7D%20%20-%203%20%5Csqrt%7B8%7D%20" id="TexFormula1" title="6 \div \sqrt{2} - 40 \div \sqrt{32} + 2 \sqrt{50} - 3 \sqrt{8} " alt="6 \div \sqrt{2} - 40 \div \sqrt{32} + 2 \sqrt{50} - 3 \sqrt{8} " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Flura [38]3 years ago
5 0
The answer of that equation is 2 and square root of 2
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What is the first term in a geometric sequence if the common ratio is −4 and the sum of the first four terms is −255?
posledela
Sn=A1(1-r^n)/(1-r)
Sum of a finite geometric series formula
We know the sum, number of terms and rate, so you plug those in.
-255=A1(1-(-4)^4))/(1-(-4)
-255=A1(1-256)/5
-255=A1(-255)/5
-1275=A1(-255)
5=A1

Hope this helped! Let me know if you have any questions.
8 0
3 years ago
Olivia made 14 outfits for her dolls. Each outfit used 3/5 of fabric. If she started with 10 3/4 yards of fabric, how much did s
Zepler [3.9K]

Answer:

0.1 yards of fabric

Step-by-step explanation:

Data provided in the question:

Number of outfits made for the doll = 14

Fabric used in each outfit = \frac{3}{5} yards of fabric

Starting fabric available = 10 × \frac{3}{4} or \frac{30}{4} yards

Now,

The total fabric used in making the outfits of 14 dolls

= 14 × \frac{3}{5} yards of fabric

= \frac{42}{5} yards of fabric

Therefore,

The fabric left after making the outfits

= Fabric available in the start - Fabric used  in making the outfits

= \frac{30}{4} yards - \frac{42}{5} yards

= \frac{30\times5-42\times4}{4\times5} yards

=  \frac{150-168}{20} yards

= \frac{2}{20} yards

= 0.1 yards of fabric

5 0
3 years ago
Help me please!!!!!!
Verdich [7]

Answer:

c.

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
The scatter plot shows the number of customers in a restaurant for hours of the dinner services on two different Saturday nights
charle [14.2K]

A. The value y-intercept represent in the context of the problem is 50.

B. The slope of the line is -10.

C. The equation to represent the line is y= -10x+50.

D. The number of customers in the restaurant at 8:30pm is 35.

<u>Step-by-step explanation:</u>

The equation of the line is given by y=mx+c.

y is the number of customers and x is the hours.

7.00 p.m. is considered as 0.

To find the slope m =\frac{rise}{run}.

rise = y_{2}-y_{1}.

run = x_{2}-x_{1}.

From the graph, choose two points. Let us take (0,50) and (4,10).

m=\frac{-40}{4}.

m=-10.

∴The equation can be written as y= -10x+c.

To find the y-intercept value c, substitute any point.

Let us substitute(0,50) for instance,

50=0+c.

c=50.

The equation for the given graph is y= -10x+50.

To find the customers at the restaurant at 8.30 pm.

we know that x=0 at 7.00 pm,

∴ x=1.5 can be considered as 8.30 pm.

Substitute x=1.5 in the line equation.

y= -10(1.5)+50.

y= -15-50.

y= 35.

5 0
3 years ago
Solve the slope…. pls
Zielflug [23.3K]

Answer:

slope = 5/7

Step-by-step explanation:

Given the x-intercept: (-7, 0) and the y-intecept: (0, 5):

We can use the slope formula:

m = \frac{y2 - y1}{x2 - x1}

Let (x1, y1) = (-7, 0)

(x2, y2) = (0, 5)

Plug these values into the slope formula:

m = \frac{y2 - y1}{x2 - x1} = \frac{5 - 0}{0 - (-7)} = \frac{5}{7}

Therefore, the slope is 5/7

4 0
2 years ago
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