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stira [4]
3 years ago
8

Please help it’s a pic

Mathematics
2 answers:
Evgesh-ka [11]3 years ago
7 0

Answer:

58°

Step-by-step explanation:

<MQR = <XQL (vertically opposite angles)

28 + 5b = 70 - 2b

28 - 70 = -2b - 5b

-42 = -7b

-42/-7 = b

6 = b

<MQR = 28 + 5b

= 28 + 5(6)

= 28 + 30

= 58°

Tamiku [17]3 years ago
5 0

Answer:

(A)

Step-by-step explanation:

<XQL and <MQR are vertical angles, which means that their measures are equal to each other.

I used the two equations to solve for b.

[see first picture]

When B got solved, I replaced b in MQR's equation with 6 (B = 6), and I got 58, which is option A.

[see second picture]

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liq [111]
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When we multiply them together, we get 34.54 inches as our total answer.
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4 years ago
a car travels 2 5/8 miles in 3 1/2 minutes at a constant speed. Write an equation to represent the distance, d, that the car tra
marissa [1.9K]

Answer:

d(m) = (1.05 miles/min)*m

Step-by-step explanation:

Divide 2 5/8 miles by 3 1/2 minutes to obtain the unit rate (miles per minute):

2 5/8 miles

--------------------

3 1/2 minutes


First, convert 2 5/8 miles and 3 1/2 minutes to improper fractions:

21/8 miles             21/8 miles

------------------  =  ----------------------  =  21/20 miles/minute

5/2 minutes         20/8 minutes


The constant rate is (21/20) miles/minute, or 1.05 miles/minute.

Thus, the equation representing the distance, d, that the car travels in m minutes is

d(m) = (1.05 miles/min)*m

8 0
3 years ago
Read 2 more answers
A new DVD is available for sale in a store one week after its release. The cumulative revenue, $R, from sales of the DVD in this
AnnyKZ [126]

Solution :

It is given that :

$f'(t) = (350 \ln   t)'$

       $=350(\ln t)'$

        $=\frac{350}{t}$

So, f(5)=350 \ln (5) \approx 563

     $f'(5) = \frac{350}{5}$

              =70

The relative change is then,

$\frac{f'(5)}{f(5)}=\frac{70}{350\ \ln(5)}$

         $=\frac{1}{5\ \ln(5)}$

         $\approx 0.12$

          =12\%

This means that after 5 weeks, the revenue from the DVD sales in $563 with a rate of change of $70 per week and the increasing at a continuous rate of 12% per week.

3 0
3 years ago
HELPPPPPPPPP 55 POINTS Isabel graphed the following system of equations.
Arturiano [62]

Answer:

1.  Substitute y = -3x +4 for y in the first equation

2.  Combine like terms and isolate x

3.  Substitute in x into the 2nd equation to get y

Step-by-step explanation:

1.  Substitute y = -3x +4 for y in the first equation

2x- (-3x+4) = 6

2.  Combine like terms

5x -4 = 6

5x -4 +4 = 6+4

5x=10  Divide by 5 to isolate x

5x/5 =10/5

x=2

3. Substitute in x into the 2nd equation to get y

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5 0
4 years ago
Based on data collected 5 years ago, a hotel expects that 24% of all guests will request smoking rooms. The hotel suspects that
9966 [12]

Answer:

The calculated value Z = 2.3084 > 1.96 at 5% level of significance

Null hypothesis is rejected

Alternative hypothesis is accepted

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Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given the hotel takes a random sample of 223 guests. Out of this sample, 39 guests requested smoking rooms.

Sample proportion

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Given Population proportion 'P' = 0.24

Given random sample size 'n' = 223

Level of significance ∝ =0.05

The critical value Z₀.₀₅ = 1.96

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<u><em>Alternative Hypothesis</em></u> (H₁) : P≠ 0.24

<u><em>Step(ii)</em></u>:-

<em>Test statistic </em>

            Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }

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Null hypothesis is rejected

Alternative hypothesis is accepted

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