Answers
= 34.5in
Area= 1/2*(a+b)*h
=1/2*(8+15.5)*4
=47in^2
B)Perimeter= 12+6+8.5
=26.5mm
Area=1/2*b*h
=1/2*12*4
=24mm^2
Related Questions
solve the equation2.2^2x-7×2^x-4=0.
Answers
Answer:
2
Step-by-step explanation:
2×2^2x - 7×2^x - 4=02×(2^x)^2 - 7×2^x - 4 = 0Substitute 2^x = y, where y>0
Then we get quadratic equation:
2y^2 - 7y - 4 = 0Solving this, we get y = 4 as positive root, so;
y = 42^x = 42^x = 2^2x = 2Answer is 2
Nidhi is thinking of a number n, and she wants her sister to guess the number. Her first clue is that eight less than three times her number is between one and nineteen. Write a compound inequality that shows the range of numbers that Nidhi might be thinking of
Answers
Answer:
The range of numbers that Nidhi might be thinking of is between 3 and 9.
Step-by-step explanation:
We are given that Nidhi is thinking of a number n, and she wants her sister to guess the number.
Her first clue is that eight less than three times her number is between one and nineteen.
Let the number Nidhi is thinking be 'n'.
So, eight less than three times her number means that;
[tex](3\times \text{n}) - 8 = 3\text{n}-8[/tex]
Now, according to the question; the above equation is between one and nineteen, so;
[tex]1< 3\text{n}-8 < 19[/tex]
Adding 8 to the whole expression;
[tex]1+8< 3\text{n}-8 +8< 19+8[/tex]
[tex]9< 3\text{n}< 27[/tex]
Dividing the whole expression by 3;
[tex]\frac{9}{3} < \frac{3\text{n}}{3} < \frac{27}{3}[/tex]
[tex]3< \text{n}< 9[/tex]
Hence, the range of numbers that Nidhi might be thinking of is between 3 and 9.
Find the value of x.
X = [?]°
68.5°
Х
49.5°
Answers
Answer:
[tex] \boxed{ \bold {\huge{ \boxed{ \sf{x = 62°}}}}}[/tex]
Step-by-step explanation:
Sum of angle of triangle = 180 °
Create an equation :
[tex] \sf{x + 68.5 + 49.5 = 180°}[/tex]
Add the numbers
⇒[tex] \sf{x + 118 = 180}[/tex]
Move 118 to right hand side and change it's sign
⇒[tex] \sf{x = 180 - 118}[/tex]
Subtract 118 from 180
⇒[tex] \sf{x = 62°}[/tex]
Hope I helped!
Best regards!!
The question is on the picture.
Answers
Perimeter: 46
If x = -1 and y = 6, then x + 3xy
(A) 19
(B) 17
(C) 16
(D) -16
(E) -17
Choose
Answers
Answer:
D
Step-by-step explanation:
idk I just guessed tbh
Answer:
E -17
Step-by-step explanation:
3 times -1 is -3
-3 times 6 is -18
-18 + -1 is -17 (++)
What number should be added to 77 to make the sum 0? (5 points)
77
-77
0
-76
Answers
Answer:
-77
Step-by-step explanation:
77+77=154 wrong
77+(-77)=0 right
77+0=77 wrong
77+(-76)=1 wrong
Answer:
b. -77
Step-by-step explanation:
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 420 gram setting. It is believed that the machine is underfilling the bags. A 49 bag sample had a mean of 413 grams. Assume the population variance is known to be 676 . A level of significance of 0.1 will be used. Find the P-value of the test statistic. You may write the P-value as a range using interval notation, or as a decimal value rounded to four decimal places.
Answers
Answer:
The value is [tex]p-value = 0.0297[/tex]
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 420 \ g[/tex]
The The sample size is [tex]n = 49[/tex]
The sample mean is [tex]\= x = 413 \ g[/tex]
The population variance is [tex]\sigma^2 = 676[/tex]
Generally the population standard deviation is mathematically represented as
[tex]\sigma = \sqrt{\sigma^2 }[/tex]
[tex]\sigma = \sqrt{676}[/tex]
[tex]\sigma = 26[/tex]
The null hypothesis is [tex]H_o : \mu = 420 \ g[/tex]
The alternative hypothesis is [tex]H_a : \mu < 420 \ g[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{ \= x - \mu }{ \frac{ \sigma }{\sqrt{n} } }[/tex]
=> [tex]z= \frac{ 413 - 420 }{ \frac{ 26 }{\sqrt{49} } }[/tex]
=> [tex]z = -1.884[/tex]
The p-value is obtained from the z-table table and the value is
[tex]p-value = P(Z < -1.885) = 0.029715[/tex]
[tex]p-value = 0.0297[/tex]
Graphing form equation for y=x^3
Answers
Answer:
Step-by-step explanation:
Which set is closed under subtraction?
the set of whole numbers
the set of natural numbers
the set of rational numbers
the set of irrational numbers
Answers
Answer:
Set of rational numbers
Step-by-step explanation:
Answer:
the set of rational numbers
Step-by-step explanation:
Edge 2021
Which of the numbers below is less than zero? Select all that apply.
A) 1.2
B) 7/2
C)-3.5
D)-0.75
E)-1/3
Answers
C D E
Step-by-step explanation:
All the numbers above (C D E) are negative, making them less than 0.
Answer:
C, D, and E. They are all negative, which means they are less than zero.
1.2 and 7/2 are more than one. 7/2 simplifies to 3 1/2.
a) Find a recurrence relation for the number of bit strings of length n that contain a pair of consecutive 0s.
b) What are the initial conditions?
c) How many bit strings of length seven contain two consecutive 0s?
Answers
Answer:
A) [tex]a_{n} = a_{n-1} + a_{n-2} + 2^{n-2}[/tex]
B) [tex]a_{0} = a_{1} = 0[/tex]
C) for n = 2
[tex]a_{2}[/tex] = 1
for n = 3
[tex]a_{3}[/tex] = 3
for n = 4
[tex]a_{4}[/tex] = 8
for n = 5
[tex]a_{5}[/tex] = 19
Step-by-step explanation:
A) A recurrence relation for the number of bit strings of length n that contain a pair of consecutive Os can be represented below
if a string (n ) ends with 00 for n-2 positions there are a pair of consecutive Os therefore there will be : [tex]2^{n-2}[/tex] strings
therefore for n ≥ 2
The recurrence relation for the number of bit strings of length 'n' that contains consecutive Os
[tex]a_{n} = a_{n-1} + a_{n-2} + 2^{n-2}[/tex]
b ) The initial conditions
The initial conditions are : [tex]a_{0} = a_{1} = 0[/tex]
C) The number of bit strings of length seven containing two consecutive 0s
here we apply the re occurrence relation and the initial conditions
[tex]a_{n} = a_{n-1} + a_{n-2} + 2^{n-2}[/tex]
for n = 2
[tex]a_{2}[/tex] = 1
for n = 3
[tex]a_{3}[/tex] = 3
for n = 4
[tex]a_{4}[/tex] = 8
for n = 5
[tex]a_{5}[/tex] = 19
Simplify the equation 9z-3z=48
Answers
Answer: z=8
Step-by-step explanation:
9z-3z=48
6z=48 ⇔ combine like terms
z=8
Hope this helps
Answer:
z = 8
Step-by-step explanation:
9z - 3z = 48
6z = 46
z = 8
12b + 9 = 12b + 11 what’s the answer
Answers
Answer: b∈∅
Step-by-step explanation:
Answer:
no solutions
Step-by-step explanation:
12b + 9 = 12b + 11
Subtract 12b from each side
12b-12b + 9 = 12b-12b + 11
9 = 11
This is never true, so there are no solutions
a. Guttery invested $147,000 in cash to start the business.
b. Paid $4,700 for the current month's rent.
c. Bought office furniture for $15,420 in cash.
d. Performed services for $8,500 in cash.
e. Paid $1,120 for the monthly telephone bill.
f. Performed services for $14,300 on credit.
g. Purchased a computer and copier for $35,400; paid $11,700 in cash immediately with the balance due in 30 days.
h. Received $7150 from credit clients.
i. Paid $2,700 in cash for office cleaning services for the month.
j. Purchased additional office chairs for $4,500; received credit terms of 30 days.
k. Purchased office equipment for $27,000 and paid half of this amount in cash immediately, the balance is due in 30 days.
I. Issued a check for $8,100 to pay salaries.
m. Performed services for $14,800 in cash.
n. Performed services for $16,300 on credit.
o. Collected $6,700 on accounts receivable from charge customers.
p. Issued a check for $2,250 in partial payment of the amount owed for office chairs.
q. Paid $570 to a duplicating company for photocopy work performed during the month.
r. Paid $1,090 for the monthly electric bill.
s. Guttery withdrew $7.700 in cash for personal expenses.
Required:
Prepare a trial balance, an income statement, a statement of owner's equity, and a balance sheet. Assume that the transactions to
place during the month ended June 30, 2019. Determine the account balances before you start work on the financial statements.
Analyze
< Prey
4 of 10
Next >
Answers
Answer:
unanswerable
Step-by-step explanation:
bruh no one can answer all these questions. try making them seperatly that should help.
match each statement to the reasons given for the geometric proof.
Given: ABCD is a parallelogram
Prove: Diagonals bisect each other(AE=CE and BE = DE
Answers
Answer: 5, 3, 1, 2, 6, 4
Step-by-step explanation:
The proof should be written as follows (which is a different order than provided):
Statement Reason
1. ABCD is a parallelogram 1. Given
2. AB||DC and AD||BC and AB ≅ DC 2. Definition of parallelogram
3. ∠ABD ≅ ∠CDB 3. Alternate Interior Angles Theorem
4. ∠DEC ≅ ∠BEA 4. Vertical Angles Theorem
5. ΔABE ≅ ΔCDE 5. AAS Congruency Theorem
6. AE = CE and BE = DE 6. CPCTC
This is the order provided in your question:
5. ΔABE ≅ ΔCDE 5. AAS Congruency Theorem
3. ∠ABD ≅ ∠CDB 3. Alternate Interior Angles Theorem
1. ABCD is a parallelogram 1. Given
2. AB||DC and AD||BC and AB ≅ DC 2. Definition of parallelogram
6. AE = CE and BE = DE 6. CPCTC
4. ∠DEC ≅ ∠BEA 4. Vertical Angles Theorem
g find the 2 components of vector b = 2i + j - 3k, one parallel to a = 3i - j and another one perpendicular to a
Answers
Answer:
The components of [tex]\vec{b}[/tex] parallel and perpendicular to [tex]\vec {a}[/tex] are [tex]\vec {b}_{\parallel} = \frac{3}{2}\,i-\frac{1}{2}\,j[/tex] and [tex]\vec b _{\perp} = \frac{1}{2}\,i+\frac{3}{2}\,j-3\,k[/tex], respectively.
Step-by-step explanation:
Let be [tex]\vec b = 2\,i+j-3\,k[/tex] and [tex]\vec a = 3\,i-j[/tex], the component of [tex]\vec b[/tex] parallel to [tex]\vec a[/tex] is calculated by the following expression:
[tex]\vec b_{\parallel} = (\vec b \bullet \hat{a}) \cdot \hat{a}[/tex]
Where [tex]\hat{a}[/tex] is the unit vector of [tex]\vec a[/tex], dimensionless and [tex]\bullet[/tex] is the operator of scalar product.
The unit vector of [tex]\vec a[/tex] is:
[tex]\hat{a} = \frac{\vec {a}}{\|\vec a\|}[/tex]
Where [tex]\|\vec {a}\|[/tex] is the norm of [tex]\vec a[/tex], whose value is determined by Pythagorean Theorem.
The component of [tex]\vec{b}[/tex] parallel to [tex]\vec {a}[/tex] is:
[tex]\|\vec {a}\| = \sqrt{3^{2}+(-1)^{2}+0^{2}}[/tex]
[tex]\|\vec {a}\| = \sqrt{10}[/tex]
[tex]\hat{a} = \frac{1}{\sqrt{10}} \cdot (3\,i-j)[/tex]
[tex]\hat{a} = \frac{3}{\sqrt{10}}\,i -\frac{1}{\sqrt{10}} \,j[/tex]
[tex]\vec{b}\bullet \hat{a} = (2)\cdot \left(\frac{3}{\sqrt{10}} \right)+(1)\cdot \left(-\frac{1}{\sqrt{10}} \right)+(-3)\cdot \left(0\right)[/tex]
[tex]\vec b \bullet \hat{a} = \frac{5}{\sqrt{10}}[/tex]
[tex]\vec b_{\parallel} = \frac{5}{\sqrt{10}}\cdot \left(\frac{3}{\sqrt{10}}\,i-\frac{1}{\sqrt{10}}\,j \right)[/tex]
[tex]\vec {b}_{\parallel} = \frac{3}{2}\,i-\frac{1}{2}\,j[/tex]
Now, the component of [tex]\vec {b}[/tex] perpendicular to [tex]\vec{a}[/tex] is found by vector subtraction:
[tex]\vec{b}_{\perp} = \vec {b}-\vec {b}_{\parallel}[/tex]
If [tex]\vec b = 2\,i+j-3\,k[/tex] and [tex]\vec {b}_{\parallel} = \frac{3}{2}\,i-\frac{1}{2}\,j[/tex], then:
[tex]\vec{b}_{\perp} = (2\,i+j-3\,k)-\left(\frac{3}{2}\,i-\frac{1}{2}\,j \right)[/tex]
[tex]\vec b _{\perp} = \frac{1}{2}\,i+\frac{3}{2}\,j-3\,k[/tex]
what is the median of 3 3 4 5 5 5 6 6 6 7 8
Answers
Answer:
5
Step-by-step explanation:
The median is the middle number of the list when put in order from smallest to largest
3 3 4 5 5 5 6 6 6 7 8
There are 11 numbers so the middle number is the 6th ( 5 on the left and 5 on the right
3 3 4 5 5 5 6 6 6 7 8
What is the quotient of 3,968 ÷ 32?
Answers
Answer:
124
Step-by-step explanation:
you just add 32 till u get 3968
Answer: The quotient of 3,968 ÷ 32= 124
Find the differential of each function. (a) y = tan( 5t ) dy = Correct: Your answer is correct. (b) y = 5 − v2 5 + v2
Answers
Answer:
[tex](a)[/tex] [tex]dy = 5sec^2(5t) \ dt[/tex]
[tex](a) \ dy = \frac{-20v}{(5+v^2)^2} \ dt[/tex]
Step-by-step explanation:
Given;
(a) y = tan(5t)
[tex](b) \ y = \frac{5-v^2}{5+v^2}[/tex]
Solving for (a)
y = tan(5t)
let u = 5t
⇒y = tan(u)
du/dt = 5
dy/du = sec²u
[tex]\frac{dy}{dt} =\frac{dy}{du} *\frac{du}{dt} \\\\\frac{dy}{dt} = sec^2(u)*5\\\\\frac{dy}{dt} = 5sec^2(u)\\\\\frac{dy}{dt} = 5sec^2(5t)[/tex]
[tex]dy = 5sec^2(5t) \ dt[/tex]
Solving for b;
let u = 5 - v²
du/dv = -2v
let v = 5+ v²
dv/du = 2v
[tex]\frac{dy}{dv} = \frac{vdu - udv}{v^2} \\\\\frac{dy}{dv} = \frac{-2v(5+v^2) - 2v(5-v^2)}{(5+v^2)^2}\\\\\frac{dy}{dv} = \frac{-10v-2v^3-10v+2v^3}{(5+v^2)^2}\\\\[/tex]
[tex]\frac{dy}{dv} = \frac{-10v-10v}{(5+v^2)^2}\\\\\frac{dy}{dv} = \frac{-20v}{(5+v^2)^2}\\\\dy = \frac{-20v}{(5+v^2)^2} dt[/tex]
what is 57/5as a decimal
Answers
Answer:
11.4
Step-by-step explanation:
57/5 as a mixed number is 11 2/5.
2/5 of a number is also known as 4/10 or 0.4, so add that to 11 to get 11.4.
Answer:
11.4
Step-by-step explanation:
57/5 = 11.4
An Olympic swimming pool is 50 m long, 25 m wide, and 1.5 m deep. How many Olympic pools would be filled by the dollar bills spent by the U.S. federal government in 2011
Answers
Answer:
Number of dollars bills that can be fitted in Olympic pool = 1.67 billion.
Step-by-step explanation:
The dimensions of a dollar bill are 15.5956 cm by 6.6294 cm by 0.010922 cm. The U.S. federal government spent $3.8 trillion in fiscal year 2011.
An Olympic swimming pool is 50 m long, 25 m wide, and 1.5 m deep. How many Olympic pools would be filled by the dollar bills spent by the U.S. federal government in 2011
From above,
The volume for the dimension of the dollar bill = 15.5956 cm × 6.6294 cm × 0.010922 cm
The volume for the dimension of the dollar bill = 1.12922 cm³
The volume for the dimension of the dollar bill = 1.12922 × 10⁻⁶ m³
The volume of the pool = 50 m × 25 m × 1.5 m
The volume of the pool = 1875 m³
Number of dollars bills that can be fitted in pool = volume of the pool/volume of the dimension of dollar bills
Number of dollars bills that can be fitted in Olympic pool =1875 m³ / 1.12922 × 10⁻⁶ m³
Number of dollars bills that can be fitted in Olympic pool = 1,660,438,180
Number of dollars bills that can be fitted in Olympic pool = 1.67 billion.
What is the length of the line segment with endpoints (11, −4) and (−12, −4
Answers
Answer:
23 units
Step-by-step explanation:
Use the distance formula: d = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
Plug in the 2 points:
d = [tex]\sqrt{(-12 - 11)^2 + (-4 + 4)^2}[/tex]
d = [tex]\sqrt{529}[/tex]
d = 23
So, the distance is 23 units
Answer:
length of the line segment =23
Step-by-step explanation:
[tex] (11, −4) = (x_1 , y_1) \\ (−12, −4) = (x_2 , y_2) \\ d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2} }[/tex]
Plug in the values into the equation
[tex]d = \sqrt{( - 12 - 11)^{2} + ( - 4 - ( - 4)^{2} } [/tex]
Simply :
-12-11=- -23
-4(-4) = -4+4=0
[tex]d = \sqrt{( - 23)^{2} + {(0)}^{2} } \\ d = \sqrt{529 + 0} \\ d = \sqrt{529} \\ d = 23[/tex]
Jada is evaluating 8 × 3 × 4. She doesn't know the product of 24 and 4 off the top of her head, so she decides to multiply 3 by 4 first. Which property is Jada using? PLEASE HELP!!
Answers
Answer: Associative property
Step-by-step explanation:
From the question, we are informed that Jada is evaluating 8 × 3 × 4 and that she doesn't know the product of 24 and 4 off the top of her head, so she decides to multiply 3 by 4 first.
The property that Jada is using is the Associative property. This has to do with regrouping of the numbers and then multiplying the numbers in different groups.
Equation:
8-9 = 3(4-5a)
Solution:
16-a =6(4-5a) (step 1)
16-a=24-5a (step 2)
16+ 40 = 24 (step 3)
4a=8 (step 4)
a=2
(step 5)
which statement describes the error in the solution?
Answers
Answer:
the answer is 988 .........
Need help now Please help
Answers
Answer:
D is the correct answer.
Answer:
d
Step-by-step explanation:
taisha ran faster than 15.02 but slower than 14.65
Find the equation of a line containing the given points (4,3) and (8,1). Write the equation in slope-intercept form. Please give step by step explanation.
Answers
Answer:
-1/2
Step-by-step explanation:
y2-y1 1-3 -1
x2-x1 8-4 2
Plz help 7th grade math picture below
Answers
Answer: balance is -44 dollars
This indicates he owes 44 dollars
=======================================================
Explanation:
21 + (-30) = -9 is the balance if we don't account for the overdraft fee
If we do account for the overdraft fee, then -9 + (-35) = -44 is the bank balance.
Note how I'm using negative values to indicate balances in which Nick owes money, rather than it's the amount of money he has. So he owes the bank $44.
------------
A slightly different way to get the answer is to say
21-30 = -9
-9-35 = -44
This is because adding a negative is the same as subtraction.
last year frankie deli made an 11 foot 6 inch submarine this year they plan to make another one 2 feet and 3 inches longer how many feet long will this sandwich be? anserw
Answers
Answer:
13 feet 9 inches
Step-by-step explanation:
11 feet 6 inches + 2 feet 3 inches= 13 feet 9 inches
The graph below shows the number of pages that Victor has left to read in his book at the end of the day over seven days. Pages Left to Read in Victor’s Book On a coordinate plane, the x-axis is labeled Day and the y-axis is labeled Pages left. On day 0 there were 220 pages; Day 1, 180; Day 2, 170; Day 3, 140; Day 4, 140; Day 5, 100; Day 6, 60; Day 7, 40. Which statement is supported by the graph? Victor read 0 pages on day 4. Victor read 170 pages on day 2. Victor read the same number of pages on day 1 and on day 2. Victor read the same number of pages on day 3 and on day 4.
Answers
Answer:
C
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
I had the same question and got it right
In the U.S., 79,816,000 people age 25 and over have completed at least a bachelor’s degree. This is 36% of the population. How many people are age 25 and over in the U.S.?
Answers
Answer:
79,816,000 people
Step-by-step explanation:
Given:
People Age 25 above = 79,816,000 people
Required
Determine the population of people over 25
The first statement of the question reads:
"In the U.S., [tex]79,816,000[/tex] people age 25 and over......"
This statement answers your question;
Hence;
Required Population = 79,816,000 people