Answer:
yes
Step-by-step explanation:
What is the sum of the first 47 terms of the sequence? -215, -201, -187, -173, ...
Answer:
5029
Step-by-step explanation:
There is a common difference between consecutive terms, that is
d = - 201 - (- 215) = - 187 - (- 201) = - 173 - (- 187) = 14
This indicates the sequence is arithmetic with sum to n term
= [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = - 215 and d = 14 , then
= [ (2 × - 215) + (46 × 14) ]
= 23.5 (- 430 + 644)
= 23.5 × 214
= 5029
x ( x + 4 ) − 3 = 4 ( x + 19.5 )
Answer:
9
Step-by-step explanation:
Can you help on #5 I have to estimate & #5 simple yes or no please thank you
If you need an estimate for #5, then you can round each value to the nearest whole number to have...
21.6 turn into 2120.9 turn into 2119.4 turn into 1918.5 turn into 19Add up those values: 21+21+19+19 = 80
-------------------
Another estimate you could do is to round everything to 20, since we're close to this value. Having four copies of 20 added leads to 20+20+20+20 = 80
So they rode a total estimated amount of 80 miles
--------------------
The actual total is: 21.6+20.9+19.4+18.5 = 80.4 miles, which isn't too far off from 80.
solve the quadratic equation by completing the square: 6x²-11x-10=0
Step-by-step explanation:
6x² - 11x - 10 =0{use splitting middle term method} -60x²| |
-4. +15
(6x² - 4x) (15x - 10)2x( 3x - 2 ) +5( 3x - 2)(2x + 5) (3x - 2)2x = -5 or 3x = 2x = -5 or x = 2there fore x = 2give your answer as a mixed number
will someone show me how
to work out questions like this in the pictures step but step
Answer:
The value of given expression is 13 / 3
Step-by-step explanation:
Given expression in the form of improper fraction;
17/3 - [tex]1\frac{1}{3}[/tex]
Find;
The value of given expression
Computation:
⇒ 17/3 - [tex]1\frac{1}{3}[/tex]
Step 1 ;
Change mixed fraction into simple fraction
⇒ 17/3 - 4/3
Step 2 ;
By taking LCM of denominators;
⇒ [17 - 4] / 3
Step 3 ;
Subtract 17 from 3
⇒ [13] / 3
The value of given expression is 13 / 3
What is the converse of the statement below?
“If today is Friday, then tomorrow is Saturday."
Answer:
C (Sorry if its incorrect)
Step-by-step explanation:
I believe its C
Becuase a converse is switching the hypothis and conclusion around
69 to the power of 2
Answer:
4761
Step-by-step explanation:
69 times 69 since it is to the power of 2.
Answer:
4761
Step-by-step explanation:
[tex]69 *69=4761[/tex]
please give brainliest I need to feed my children
find the area, seventh grade math problem please help
Answer:
78 ft²
Step-by-step explanation:
[tex]A=\frac{a+b}{2} h[/tex]
[tex]A=\frac{11+15}{2}6[/tex]
78
Suppose we have two thermometers. One thermometer is very precise but is delicate and heavy (X). We have another thermometer that is much cheaper and lighter, but of unknown precision (Y). We would like to know if we can (reliably) bring the lighter thermometer with us into the field. So, we set up an experiment where we expose both thermometers to 31 different temperatures and measure the temperature with each. We get the following observations
x = 0, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120
y = 0.02, 3.99, 7.91, 12.03, 16.09, 20.00, 23.98, 28.09, 31.94, 36.03, 40.00, 44.05, 47.95, 52.00, 55.87, 59.90, 63.91, 67.95, 72.11, 76.02, 80.01, 84.10, 88.06, 91.74, 96.02, 99.95, 103.87, 108.01, 111.99, 116.04, 120.03
We want to decide if these thermometers seem to be measuring the same temperatures. Let's use the thershold α= 0.1.
Required:
Write down the appropriate hypothesis tests for β1.
Answer:
a)H0: β1= 1 and Ha: β1 ≠1
b) The test statistic is____.t= b- β/ sb
c) The p-value is____.0.999144
(d) Therefore, we can conclude that:_____. there is not enough evidence to reject the null hypothesis.
The data provides no evidence at the 0.1 significance level that these thermometers are not consistent.
Step-by-step explanation:
This is called testing hypotheses about β, the population regression co efficient.
The null and alternate hypotheses are
H0: β1= 1 and Ha: β1 ≠1
The significance level is ∝=0.1 and ∝/2 is 0.05
The critical region at t ∝/2 (29)= t ≤ - 1.699 , t ≥ 1.699
The test statistic is
t= b- β/ sb
which has t distribution with υ= 31-2= 29 degrees of freedom.
Calculations
Ŷ = a +bX
b = SPxy /SS x= Σ(xi-x`)(yi-y`)/Σ(xi-x`)²
b = 39671.6/39680= 0.9998
a = y` - bx`
x`= 60
y`= 59.989
a = 59.989 -0.9998*60 = 0.001734
Syx²= Σ( yi -y`)²/ n-2= 39663.3857/ 29=1367.68965
Syx= 36.9822
Sb= Syx/ √∑ (x-x`)²
Sb= 36.9823/ √39680
Sb= 36.9823/ 199.984
Sb= 0.18493
x-x` y-y` (x-x`)² (x-x`)(y-y`)
-60 -59.969 3600 3598.1419
-56 -55.999 3136 3135.9458
-52 -52.079 2704 2708.1097
-48 -47.959 2304 2302.0335
-44 -43.899 1936 1931.5574
-40 -39.989 1600 1599.5613
-36 -36.009 1296 1296.3252
-32 -31.899 1024 1020.769
-28 -28.049 784 785.3729
-24 -23.959 576 575.0168
-20 -19.989 400 399.7806
-16 -15.939 256 255.0245
-12 -12.039 144 144.4684
-8 -7.989 64 63.9123
-4 -4.119 16 16.4761
0 -0.08903 0 0
4 3.921 16 15.6839
8 7.961 64 63.6877
12 12.121 144 145.4516
16 16.031 256 256.4955
20 20.021 400 400.4194
24 24.111 576 578.6632
28 28.071 784 785.9871
32 31.751 1024 1016.031
36 36.031 1296 1297.1148
40 39.961 1600 1598.4387
44 43.881 1936 1930.7626
48 48.021 2304 2305.0065
52 52.001 2704 2704.0503
56 56.051 3136 3138.8542
60 60.041 3600 3602.4581
∑0 0 39680 (SSx) 39671.6 (SPxy)
Putting the values
The test statistic is
t= b- β/ sb
t= 0.9998-1/ 0.18493
t=-0.0010815
Since the calculated t=-0.0010815 does not lie in the critical region t ∝/2 (29)= t ≤ - 1.699 , t ≥ 1.699 we conclude that these thermometers seem to be measure temperatures.
The p-value is ≈ 0.999144
there is not enough evidence to reject the null hypothesis.
Help me out! I’ll give Brainly :) thank you!!
Answer:
f(5) = 15
Step-by-step explanation:
To evaluate f(5) substitute x = 5 into f(x) , that is
f(5) = 5² - 2(5) = 25 - 10 = 15
HELP
What is the equation of the trend line in the scatter plot ?
Answer:
its decreasing
Step-by-step explanation:
the graph will always be read from left to right.
Solve this exercise using the fact that the sum of the measures of the three angles of a triangle is 180.
In a triangle, the measures of the three angles are x, x+5, and x-35. What is the measure of each angle?
Answer:
X=70
Step-by-step explanation:
70 + 75 + 35 =180
x + x+5 + x-35
12 men can plant the paddy in a rupandehi of field in 10 hours how many men are required to plan the same in 6 hours only
Answer:
20 mens
Step-by-step explanation:
12 men can plant paddy in 10 hours
1 man can plant the paddy in (10 × 12) hours
10 × 12 / 6 = 20
A new car is purchased for $30,000 and over time its value depreciates by one half
every 5 years. What is the value of the car 11 years after it was purchased, to the
nearest hundred dollars?
Answer:
Step-by-step explanation:
6600
The car is about $6529.12 eleven years after it was bought.
What is an exponent?The formula below can be used to determine a car's value after a particular number of years if its value depreciates by half every five years:
[tex]\rm P=P_{\circ} \left ( \dfrac{1}{2} \right)^{x/5}[/tex]
Here, x is how long ago the car was bought.
With x = 11 and a starting value of $30,000, this calculation yields:
[tex]\rm P=$30,000 \times \left ( \dfrac{1}{2} \right)^{11/5}\\[/tex]
Simplify the equation, then we have
P = $30,000 x 0.2176
P = $6529.12
The car is about $6529.12 eleven years after it was bought.
More about the exponent link is given below.
https://brainly.com/question/5497425
#SPJ2
(5x + 10) + (2x -3) =
Answer:
16
Step-by-step explanation:
I think sorry if I'm wrong
Answer: 7x+7
Step-by-step explanation:1
Eliminate redundant parentheses
(5x+10)+(2x-3)
(5x+10)+(2x−3)
5x+10+2x-3
5x+10+2x−3
2
Subtract the numbers
5x+10+2x−3
5x+7+2x
Combine like terms
5x+7+2x
7x+7
Solution
7x+7
find mHK please help
Answer:
66°
Step-by-step explanation:
When a radius(diameter in this case) is perpendicular to a chord, it bisects the chord and the arc formed by the chord. Because of this, we can say mHJ is equal to mKJ. We can write an equation:
mHJ = mKJ
and substitute:
x + 20 = 6x - 45
20 = 5x - 45
65 = 5x
x = 13
mHK is the sum of mHJ and mKJ, we can write mHK as the expression:
x + 20 + 6x - 45
7x - 25
We can substitute x:
7(13) - 25
91 - 25
66°
Kari worked twice as many hours as Chris. She also worked ten less than three times as many hours as Mark. Chris and Mark worked the same number of hours.
Answer:
Kari = 20 hours
Chris = 10
Mark = 10
Explanation:
K is Kari's hours
C is Chris's hours
Karis = 2 x C = K
Chris = C
Mark = C
3C - 10 = K
Assume C is 10 (since 10 is 1/3 of the hours mentioned)
2 x 10 = 20 so K worked 20 hours
20 is twice as much as 10 (C's hours)
and it's 30 - 10 (10 less than 3 times as many hours as Mark)
j need help w number 4 algebra to have to show all work
Answer:
[tex]\sqrt[3]{\frac{-729}{216} } = \sqrt[3]{\frac{9*9*9*}{6*6*6} } = (\frac{9^3}{6^3})^{\frac{1}{3} } = \frac{9}{6} = \frac{3}{2}[/tex]
option a
the width of a rectangular yard is 3 yards more than twice its length. the perimeter of the garden is 192 yards
Answer:
Step-by-step explanation:
W = 2L + 3, and:
P = 2W + 2L = 192
Substituting 2L + 3 for W, we get:
P = 2(2L + 3) + 2L = 192, or
4L + 6 + 2L = 192, or:
6L = 186
L = 186/6 = 31
The length is 31, the width is 62 + 3, or 65
Therefore, the perimeter P is P = 2(31) + 2(65) = 130 + 62 = 192 (OK!)
Plz help me well mark brainliest if correct!!...
9514 1404 393
Answer:
B) fifth grade boys
Step-by-step explanation:
55 tickets is halfway between the lines marked 50 tickets and 60 tickets. The bar that comes closest to that value is the right-most green bar, representing ...
fifth-grade boys
Select the correct answer what are the x-intercepts of these quadric function g(x)=-2(x-4)(x+1)
Simplify the expression:
62^7 +1 + 6xy + 8z^7 + 9 + 6yx
I WILL GIVE BRAINLIEST.
Mr. Ortiz's car drives 12 miles in 20 minutes. Use a model to find out how many miles his car drives in 1 HOUR.
Answer:
36 miles
Step-by-step explanation:
Since there are 60 minutes in a hour, you can see that 20 minutes is a third of that time. To find the answer, you multiply the values by 3 to equal on hour. 20x3 = 60 and 12x3 = 36, meaning he drove 36 miles in a hour.
#2Need help ???!!! For an exam. Please don’t send any links !!! Cannot open. Thank you and answer below please and thank!
Which of the following are solutions to the equation below?
Check all that apply.
4x2 - 81 = 0
What is the sum of the measures of angles 3,4,5?
Answer:
It's equal to 3² + 4² + 5² = 9 + 16 + 25 = 50
Only answer if you’re sure, will give Brainly :) thank you
Plz help me well mark brainliest if correct!!..
.
Answer:
70 ft
Step-by-step explanation:
20 + 20 + 15 + 15 = 70
Please answer the question correctly with factual information for brainliest.
Answer:
3 and 4
Step-by-step explanation:
3^3 = 27
4^3 = 64
Find the surface area of the cube.
5.5 yd
5.5 yd
5.5 yd
The surface area is
square yards.
HELPPPPPP
Answer:181.5
Step-by-step explanation:
5.5*5.5*6
multiply by six because there are six side