Answers
Answer: a=54
Step-by-step explanation:
2a = (a+10) +44
2a=a+10+44
2a=a+54
a=54
Related Questions
Write the following in point-slope form using the given information: Slope: 2 points
1/15; Point: (3,-5)
Answers
Answer:
[tex]y+5 = \frac{1}{15}(x - 3)}[/tex]
Step-by-step explanation:
Given
[tex]m = \frac{1}{15}[/tex] -- Slope
[tex](x_1,y_1) = (3,-5)[/tex] --- Point
Required
Write an equation in point slope form
The point slope form of an equation is:
[tex]y - y_1 = m(x - x_1)[/tex]
Substitute values for y1, x1 and m
[tex]y-(-5) = \frac{1}{15}(x - 3)}[/tex]
[tex]y+5 = \frac{1}{15}(x - 3)}[/tex]
Hence, the equation in point slope form is:
[tex]y+5 = \frac{1}{15}(x - 3)}[/tex]
Solving further to represent the equation in slope-intercept form, we have:
[tex]y+5 = \frac{1}{15}(x - 3)}[/tex]
[tex]y+5 = \frac{1}{15}x - \frac{1}{15}*3[/tex]
[tex]y+5 = \frac{1}{15}x - \frac{1}{5}[/tex]
Make y the subject
[tex]y= \frac{1}{15}x - \frac{1}{5}-5[/tex]
[tex]y= \frac{1}{15}x - (\frac{1}{5}+5)[/tex]
[tex]y= \frac{1}{15}x - (\frac{1+25}{5})[/tex]
[tex]y= \frac{1}{15}x - (\frac{26}{5})[/tex]
[tex]y= \frac{1}{15}x - \frac{26}{5}[/tex]
An adults heart beats around 2,100 every 30 minutes. A baby’s heart beats about 2,600 times every 20 minutes. How many more beats does a baby’s heart beat in 60 minutes than an adults heart?
Answers
Answer:
3600 beats
7800-4200=3600
Help help help help help
Answers
Answer:
Option 1 and the bottom right answer.
Step-by-step explanation:
Write the first three terms in the sequence given by the formula an = 8n + 4
Answers
Answer:
[tex]a_{1}[/tex] = 12
[tex]a_{2}[/tex] = 20
[tex]a_{3}[/tex] = 28
Step-by-step explanation:
In order to find the values of the first three terms of this sequence we would have to substitute in the "n" values for the first three terms that we mention earlier so. So in order to find the value of the first term we will substitute n with 1 (since the first term will be written as [tex]a_{1}[/tex], and as you see 1 will be equal to n, use the same logic for the other three terms) , in order to find the value of the second term the n would be substituted with 2, and for the third value we will substitute n with 3.
[tex]a_{1}[/tex] = 8 x 1 + 4
[tex]a_{1}[/tex] = 8 + 4
[tex]a_{1}[/tex] = 12
Then.......
[tex]a_{2}[/tex] = 8 x 2 + 4
[tex]a_{2}[/tex] = 16 + 4
[tex]a_{3}[/tex] = 20
And finally .......
[tex]a_{3}[/tex] = 8 x 3 + 4
[tex]a_{3}[/tex] = 24 + 4
[tex]a_{3}[/tex] = 28
A researcher comparing the means of dependent samples consisting of 30 matched pairs and obtained a mean difference of 5 and a standard error of the mean difference of 2. The confidence interval for the mean difference was (1.6, 8.4). What confidence level was used in constructing the interval
Answers
Answer:
91.08%
Step-by-step explanation:
Confidence interval = (1.6, 8.4)
Sample size (n) = 30
Standard Error (E) = 2
Mean (m) = 5
The confidence interval is obtained using the relation :
Mean ± Zcritical * standard error
5 ± Zcritical * 2
5 - (Zcritical * 2) = 1.6
5 - 2Zcritical = 1.6
5 - 1.6 = 2Zcritical
3.4 = 2Zcritical
Zcritical = 3.4 / 2
Zcritical = 1.7
From Z probability calculator
P(Z < 1.7) = 0.044565
α = 1 - (0.044565 * 2) = 0.91087
0.91087 * 100% = 91.08% = 91%
Hence, confidence level = 91.08%
5 = -8 + c
i need help this is extra credit
Answers
Answer:
c is equal to 13
because -8 + 8 is 0 and 0 + 5 is 5 and 8 + 5 is 13
Pleas help me find the answer and show the work to this question
Answers
Answer:
[tex]Leg\ 1 = 8[/tex]
[tex]Leg\ 2 = 15[/tex]
Step-by-step explanation:
Given: See Attachment
Required
Determine the length of the legs
To do this, we apply Pythagoras theorem.
[tex]Hyp^2 = Adj^2 + Opp^2[/tex]
In this case:
[tex]17^2 = x^2 + (2x- 1)^2[/tex]
Open Bracket
[tex]17^2 = x^2 + 4x^2- 2x-2x + 1[/tex]
[tex]17^2 = 5x^2 - 4x + 1[/tex]
[tex]289= 5x^2 - 4x + 1[/tex]
Collect Like Terms
[tex]5x^2 - 4x + 1 - 289 = 0[/tex]
[tex]5x^2 - 4x - 288 = 0[/tex]
Solving using quadratic formula:
[tex]x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]
So:
[tex]x = 8[/tex] or [tex]x = -7.2[/tex]
Since, x can't be negative, then:
[tex]x = 8[/tex]
One of the leg is:
[tex]Leg\ 1 = x[/tex]
[tex]Leg\ 1 = 8[/tex]
[tex]Leg\ 2 = 2x - 1[/tex]
[tex]Leg\ 2 = 2*8 - 1[/tex]
[tex]Leg\ 2 = 16 - 1[/tex]
[tex]Leg\ 2 = 15[/tex]
The solution of 12 + 2x – x = 9x + 28
Answers
Answer:
x = -2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
We move all terms to the left:
9x-28-(x+12)=0
We get rid of parentheses
9x-x-12-28=0
We add all the numbers together, and all the variables
8x-40=0
We move all terms containing x to the left, all other terms to the right
8x=40
x=40/8
x=5
from first principle find the derivative of logx
Answers
Hello!
[tex]\large\boxed{\frac{dy}{dx}logx = \frac{1}{xln10} }[/tex]
Recall that:
[tex]logx[/tex] can be rewritten as:
[tex]log_{10}x[/tex]
Use the equation for the derivative of a log expression:
[tex]\frac{dy}{dx}log_{a}u = \frac{1}{ulna} * u'[/tex]
Substitute in the values in the expression:
[tex]logx = \frac{1}{xln10} * 1 = \frac{1}{xln10}[/tex]
please help!! 10+ points
Answers
Answer:
i dont see the question
Step-by-step explanation:
Please hurry and help me!
Answers
Answer:
The first one is 13/20 second one is 13/25 and the third is equally likely
Step-by-step explanation:
Which of the following is equal to 3.TE?
Answers
4(x-3)=9 what is the first step
Answers
Answer:
x= 5.25
Step-by-step explanation:
You have to get x alone, so do inverse operations.
(Basically, reverse what it is)
4(x-3)=9
divide 4 by both sides to get rid of 4 on left side
9/4 = 2.25
(x-3) = 2.25
Now add 3 to both sides, to get x alone
2.25 + 3 = 5.25
x=5.25
Check work
4(5.25-3) = 9
4(2.25) = 9
9=9
Many firms use on the job training to teach their employees computer programming. Suppose you work in the personnel department of a firm that just finished training a group of its employees to program, and you have been requested to review the performances of one of the trainees on the final test that was given to all trainees. The mean of the test score is 78. Additional information indicated that the median of the test scores was 85. What type of distribution most likely describes the shape of the test scores
Answers
Answer:
Skewed to the left
Step-by-step explanation:
In pearson mode skewdness, the mean, mode and median are used to determine if we have a positive or negative skewed distribution.
Now, If the mean is greater than the median, it means that the distribution is positively skewed and therefore skewed to the right. However, If the mean is less than the median, it means that the distribution is negatively skewed and therefore skewed to the left.
In our question, the median is 85 and mean is 78. Thus, it means median is greater than the mean and as such, the distribution isnegatively skewed and therefore skewed to the left.
Solve for x :)
6x + 4x – 6 = 24 + 9x
Answers
Answer:
x=30
Step-by-step explanation:
6x+4x-6=24+9x
combine like terms
10x-6=24+9x
add 6 on both sides
10x=30+9x
subtract 9x on both sides
x=30
Hope this helps! :)
If r= 1 and 0 = 7, what is the approximate arc length?
20
A. 3.665 units
B. 3.927 units
C. 1.167 units
D. 4.189 units
SUBMIT
Answers
The approximate arc length is,
⇒ s = 3.665 units
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Since, We know that;
The arc length (s) is given by,
⇒ s = r·θ
Here, We have;
r = 1
θ = 7π / 6
Hence, We get;
s = 1 × 7π/6
s = 3.665 units
Thus, The approximate arc length is,
⇒ s = 3.665 units
Learn more about the circle visit:
https://brainly.com/question/24810873
#SPJ7
2. The Youngs decided to book the room at the price that Mrs. Young was given, $1879, because it included breakfast for both of them for the entire stay. The travel agent could not match that price. At the end of the trip, Mr. Young received a bill showing a pre-tax amount of $1879. The tax is 8.5%. When the Youngs went to check out, they told the front desk that the refrigerator in the room had not worked during the majority of their time there. The hotel decided to give them a 5% discount off the pre-tax amount. Mr. Young says the new total will be $1944.77. He shows Mrs. Young how he found the new total.
Since we have to add 8.5% tax and subtract 5% for the discount, this means we will add 3.5% in the end.
8.5 − 5 = 3.5
Therefore, we just need to multiply the cost of the room by 3.5% and add this number to the cost of the room to determine what we owe.
3.5% x 1879= 0.035 x 1879= 65.765, which rounds to $65.77.
Add $65.77 to the total $1879 to get $1944.77.
Explain why Mr. Young’s calculations are incorrect. What is the correct total? Show your work. Round your answers to the nearest cent.
Answers
Answer:
yes
Step-by-step explanation:
There are 12 pieces of pie left over in the cafeteria. If 6 pieces are apple and 6 are cherry, what fraction of the remaining pieces are apple? Simplify your answer as much as you can.
Answers
Answer:
1/2
Step-by-step explanation:
1. The waiting times (in minutes) of customers at a certain bank is given below. 5.5 6.5 6.7 7.2 6.4 7.3 (a) Construct a 95% confidence interval for the mean waiting time of all customers at the bank. (b) Based on the confidence interval in (a), will the bank manager be satisfied if she wishes the average waiting time in her bank to be less than 7 minutes
Answers
Answer:
The 95% confidence interval is
[tex] 5.92 < \mu < 7.284 [/tex]
Step-by-step explanation:
From the question we are told that
The data is 6.5 6.7 7.2 6.4 7.3
Generally the sample mean is mathematically represented as
[tex]\= x = \frac{\sum x }{n}[/tex]
=> [tex]\= x = \frac{ 5.5 + 6.5 + \cdot 7.3 }{ 6}[/tex]
=> [tex]\= x = 6.6[/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{ \frac{ \sum (x_i - \= x )^2 }{ n-1} }[/tex]
=> [tex]\sigma = \sqrt{ \frac{ (5.5 - 6.6 )^2 +(6.5 - 6.6 )^2 + \cdot + (7.3 - 6.6 )^2 }{ 6-1} }[/tex]
=> [tex]\sigma = 0.6512[/tex]
Gnerally the degree of freedom is mathematically represented as
[tex]df = n- 1[/tex]
=> [tex]df = 6 -1[/tex]
=> [tex]df = 5[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the t distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]t_{\frac{\alpha }{2} , 5 } = 2.571 [/tex]
Generally the margin of error is mathematically represented as
[tex]E = t_{\frac{\alpha }{2}, 5 } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 2.571 * \frac{0.6512}{\sqrt{6} }[/tex]
=> [tex]E = 0.6835 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \= x +E[/tex]
=> [tex]6.6 - 0.6835 < \mu < 6.6 + 0.6835[/tex]
=> [tex] 5.92 < \mu < 7.284 [/tex]
EASY MATH PLS HELP
For f(x)= 19-5x, what is the value of f(-3)?
Answers
Answer:
f(x)= 19-5(-3)
19+15
f(x)=34
Step-by-step explanation:
The probability of a coin landing on heads when it is flipped is
0.5.
What is this probability written as a percent?
Answers
Answer:
50%
Step-by-step explanation:Since there is a 0.5 chance of the coin landing on heads add a zero and take off the .0 and you get 50%.
Answer:
50%
Step-by-step explanation:
The theoretical probability to get either heads or tails is 0.5 (or 50 percent). The probabilities of all possible outcomes should add up to 1 (or 100 percent), which it does.
noelle is drawing fraction bars to model the sum of 1/5 and 3/4. What is the smallest number of equally sized pieces each fraction bar can be broken into to find the sum?
Answers
Answer:
the smallest number of equally sized pieces is 20
Step-by-step explanation:
The computation of the smallest number of equally sized pieces is as follows:
Given that
The sum of 1 by 5 and 3/4
Now
if we sum it
= 1 ÷ 5 + 3 ÷ 4
= 4 + 15 ÷ 20
= 19 ÷ 20
Now as if we do the lcm so the denominator sum be 20
Therefore the smallest number of equally sized pieces is 20
-4x + 10y
X=5
Y=7
Find the value of the algebraic expression
Answers
Answer:
50
Step-by-step explanation:
-20+70=50
Please help me!!!
Write the following comparison as a ratio reduced to lowest terms.
25 nickels to 25 dimes
Answers
Answer:
[tex]N:D = 1: 2[/tex]
Step-by-step explanation:
Given
Represent Nickels with N and Dimes with D
[tex]N=25[/tex]
[tex]D=25[/tex]
Required
Write as a ratio to lowest term
Ratio of Nickels to Dime is represented as N:D
[tex]N:D = 25\ nickels : 25\ dimes[/tex]
Convert nickels to dollar
[tex]N:D = 25\ * \$0.05. : 25\ * \$0.10[/tex]
[tex]N:D = 1.25 : 2.5[/tex]
Divide through by 1.25
[tex]N:D = 1.25/2.25 : 2.5/1.25[/tex]
[tex]N:D = 1: 2[/tex]
Hence, the ratio to lowest term is 1:2
raj obtained fifty-one per cent score in an exam with 459 marks if ria gets 702 marks in same exam find the percentage obtained by ria
Answers
Answer:
The percentage (score) obtained by Ria is 78%
Step-by-step explanation:
The given percentage Raj obtained in the exam = 51%
The marks Raj obtained = 459 marks
The marks Ria obtained in the same exam = 702
The percentage obtained by Ria is given as follows
Let x represent the total score of the exam, we have;
51% of x = 459
Therefore;
51/100 × x = 459
x = 459 × 100/51 = 900
The total score in the exam = 900
The percentage score obtained by Ria is therefore given as follows;
Ria's percentage score = (Ria's raw score/(The total score of the exam)) × 100 = (702/900) × 100 = 78%
Therefore, the percentage (score) obtained by Ria = 78%.
Which point is a solution to the linear inequality below:
y - 3x< 1
A (0,0)
B (0, 3)
C (-2, 1)
D (-10, 0)
Answers
Answer:
A (0,0)
Step-by-step explanation:
y - 3x < 1
0 - 3(0) < 1
0 < 1
If a sweater costs $40.00 before the sale and $35.00 after the sale, what was the percent of decrease?
Answers
Answer:
%12.5
Step-by-step explanation:
Answer:
12%
Step-by-step explanation:
What is my perfect crime? I break into Tiffany's at midnight. Do I go for the vault? No, I go for the chandelier. It's priceless. As I'm taking it down, a woman catches me. She tells me to stop. It's her father's business. She's Tiffany. I say no. We make love all night. In the morning, the cops come and I escape in one of their uniforms. I tell her to meet me in Mexico, but I go to Canada. I don't trust her. Besides, I like the cold. Thirty years later, I get a postcard. I have a son and he's the chief of police. This is where the story gets interesting. I tell Tiffany to meet me in Paris by the Trocadero. She's been waiting for me all these years. She's never taken another lover. I don't care. I don't show up. I go to Berlin. That's where I stashed the chandelier.
brittany is listening to a song on the internet. the song is streaming at a rate of 128 kilobits per second. There are 8 kilobits in 1 kilobyte. What is the streaming rate in kilobytes per second?
Answers
Step-by-step explanation:
16 because 128 divided by 8 is 16
(Pls help) A pie crust recipe calls for 2 cups of butter for each 3 cups of flour. Ella is making enough
crusts to use 9 cups of flour. How many cups of butter will she need?
Answers
.6 cups of flour Step-by-step explanation:
12.48 + (-10.636)
1.814
As a decimal
Answers
Answer:
That answer is 1.814
Step-by-step explanation:
