Answer:
Width = 3 inch and length = 6 inch
Step-by-step explanation:
The width of a frame = x
A frame 3-in longer than it was wide. Length = 3+x
Area of the frame = 18 sq inch
We need to find the the dimensions of the length and width of the frame Zach purchased,
Area of a rectangle is given by : A = lb
[tex]x(3+x)=18\\\\x^2+3x-18=0\\\\x^2+6x-3x-18=0\\\\x(x+6)-3(x+6)=0\\\\x=-6,3[/tex]
Neglecting negative value
Width = 3 inch
Length = 3 + 3 = 6 inch
Hence, the dimensions of the length and width of the frame is 6 inch and 3 inch respectively.
Determine the domain of the function graphed above.
Answer:
Domain: (-∞, ∞)
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x)Step-by-step explanation:
According the the graph, we see that our x-values are spanning forever in both directions. Therefore our domain is:
(-∞, ∞) or -∞ < x < ∞
x^2+8x=0
what is the sum of the solutions? please help me!!
Answer:
Step-by-step explanation:
0
,
8
A square has a side length 9 cm. What is its area? A square has an area of 9 cm2. What is its side length?
Answer:
Area = 81; Side Length = 3
Step-by-step explanation:
The area of a square is the side lenght squared, and 9² is 81.
The side lengh can be found by taking the square root of the area. √9 = 3
Gail collects trading cards. Her favorites are baseball and football cards. For
every 10 baseball cards she owns, Gail has 17 football cards. What is the
ratio of baseball cards to football cards in her collection?
O A. 17:10
B. 10 and 17
O c. 12
O D. 17 to 10
Step-by-step explanation:
its ratio so it has to be A
y = 12 • 3x for x = –2
Answer:
y=-72
Step-by-step explanation:
3(-2) = -6, y=12 times -6, y= -72
A communications tower is supported by two wires, connected at the same point on the ground. One is attached to the tower at D and the long-on at C. The angle AD makes with the ground is 30 ° and the angle between the two wires is 10 °. How much below the top of the tower is the shorter one attached?
Answer:
10.99 m
Step-by-step explanation:
✍️What we are basically asked to solve here is to find the distance between C and D.
To find CD, find the length of BC, and BD. Their difference will give us CD.
Thus, BC - BD = CD.
✍️Finding BC using trigonometric ratio formula:
[tex] \theta = 30 + 10 = 40 [/tex]
Opposite side = BC = ??
Adjacent side = 42 m
Thus:
[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]
Plug in the values
[tex] tan(40) = \frac{BC}{42} [/tex]
Multiply both sides by 42
[tex] tan(40) \times 42 = \frac{BC}{42} \times 42 [/tex]
[tex] 35.24 = BC [/tex]
BC = 35.24 m
✍️Finding BD using trigonometric ratio formula:
[tex] \theta = 30 [/tex]
Opposite side = BD = ??
Adjacent side = 42 m
Thus:
[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]
Plug in the values
[tex] tan(30) = \frac{BD}{42} [/tex]
Multiply both sides by 42
[tex] tan(30) \times 42 = \frac{BD}{42} \times 42 [/tex]
[tex] 24.25 = BD [/tex]
BD = 24.25 m
✍️How much below the top of the tower is the shorter one attached:
Thus,
BC - BD = CD
35.24 m - 24.25 m = 10.99 m
If a bug can flap its wings at a rate of 77 times in 9 seconds, how many times do they flap their wings in 1.119 minutes? Round to 1 decimal.
What is the quotient of
3/4 and 1/5
Answer:
3.75
Step-by-step explanation:
consider the equation x-y=-1 ..calculate the value of y if x =1
Answer:
y = 2
Step-by-step explanation:
For the equation x - y = -1, if x = 1,
then we would plug that in to solve for the y value
1 - y = -1
Subtract 1 from both sides to find y
-y = - 2
Divide by -1 to find y
y = 2.
To double check our answer we would plug in our x-value and y-value into the equation
1 - 2 = -1
This is true, so our answer is y = 2
Answer:
y = 2
Step-by-step explanation:
x - y = -1
1 - y = -1
1 + 1 - y = 0
2 - y = 0
2 = y
y = 2
what is the equation of the line in slop-intercept form HELPP PLZZZZZZZZZZ
Answer:
y = 3/5x + 3
Step-by-step explanation:
(y2-y1)/(x2-x1) = slope
pick 2 points (0,3) and (-5,0)
(0-3)/(-5-0) = -3/-5 = 3/5
y = 3/5x + b
3 = 3/5(0) + b, b = 3
equation y = 3/5x + 3
Seema deposited $800 in a saving account earning 2.88% compounded annually. To the nearest cent, how much will she have in 16 years? Do not include the dollar sign in your answer.
Answer:
1260.04
Step-by-step explanation:
The formula for compound interest is:
A = P(1+[tex]\frac{r}{n}[/tex][tex])^{nt}[/tex] where A is the final amount, P is the initial principal balance, r is the interest rate, n is the number of times interest applied per time period and t is the number of time periods elapsed. Since the deposit was compounded annually, just like the interest, we can omit the n in the equation.
Applying the formula to question:
800(1+[tex]\frac{2.88}{100}[/tex][tex])^{16}[/tex] = 1260.04 (rounded off to nearest cent since it's money)
(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] =
Answer:
It may be 220 9/23. If it's wrong sorry lol.
Step-by-step explanation:
/
Which statement is false?
A.
by SSS
B.
by SAS
C.
by SAS
D.
Answer:
sorry, i haven't understood your question!! how can i tell which statement is false.
20. John Navarro is a salesperson in the appliance department at Morris
Appliance, Inc. He is guaranteed a minimum salary of $185 per week, or
5.5 percent of his total sales—whichever is greater. What is his gross pay
for a week in which his total sales were $3,422?
Answer:
$373.21Step-by-step explanation:
Step one:
weekly pay = $185
commission= 5.5% of sales= 0.055
let the sale be x
and his gross pay be represented by y
hence the expression for the total/gross pay is
y=0.055x+185
Step two:
Required is the gross pay y for x=3422
substituting we have
y=0.055*3422+185
y=188.21+185
y=373.21
Hence for a sale of $3,422 made his gross pay is $373.21
heidi subtract 9 from 17. first she adds to get 10.then she added again to find her answer is heidi correct Heidi is not correct to add blank then you add blank more to get 10 to 17 the answer is
Answer:
Heidi wants to compute:
17 - 9.
First, she adds to get 10, (we want to subtract 10, this is easier than subtracting 9) then she can do:
17 - 9 + 0
adding zero does not change the sum
1 - 1 = 0
then:
17 - 9 + 0 = 17 - 9 + 1 - 1
Now we can do:
17 - 9 - 1 + 1
17 - (9 + 1) + 1
17 - 10 + 1
(17 - 10) + 1
7 + 1 = 8
Then, first she needs to add -1, in order to subtract 10, and then she must add 1. As we added a number and its inverse, in total we added zero, so the sum did not change, but was easier to compute.
Then, you need
Can a quadratic have one real and one non real root
Answer:
Yes, it is possible. We already know that complex roots exist in conjugate pair but the case is true only when the equation has real coefficients. But on the other hand, if the equation has complex coefficients, then it is possible to attain one real and one complex root.
Please I need help thank you
Answer:
its 40
Step-by-step explanation:
You've already divided 320 and 8 and you get 40
find gcd of (510,92)
Answer:
The GCD of 510 and 92 is 2
Step-by-step explanation:
510 : 2 = 255
510 : 3 = 170
510 : 4 = 127.5
92 : 2 = 46
92 : 3 = 30.6667
92 : 4 = 23
hope this helps!
A line contains the points A, B, C, and D. Point B is
between points A and C. Point D is between points C
and B. Which of the following inequalities must be true
about the lengths of these segments?
F. BC < AB
G. BD < AB
H. BD < CD
J. CD < AB
K. CD
Answer:
a
Step-by-step explanation:
aa
What is the sign of the product (–5)(–3)(–8)(–6)? Positive, because the products (–5)(–3) and (–8)(–6) are negative, and the product of two negative numbers is positive Positive, because the products (–5)(–3) and (–8)(–6) are positive, and the product of two positive numbers is positive Negative, because the products (–5)(–3) and (–8)(–6) are negative, and the product of two negative numbers is negative Negative, because the products (–5)(–3) and (–8)(–6) are positive, and the product of two positive numbers is negativeWhat is the sign of the product (–5)(–3)(–8)(–6)? Positive, because the products (–5)(–3) and (–8)(–6) are negative, and the product of two negative numbers is positive Positive, because the products (–5)(–3) and (–8)(–6) are positive, and the product of two positive numbers is positive Negative, because the products (–5)(–3) and (–8)(–6) are negative, and the product of two negative numbers is negative Negative, because the products (–5)(–3) and (–8)(–6) are positive, and the product of two positive numbers is negative
Answer:
The sign is positive.
Step-by-step explanation:
(-5)(-3)
= 15 (double negative)
15(-8)
=-120 (positive negative)
(-120)(-6)
= 720 (negative negative)
Therefore, the sign of the answer is positive.
Hope this helped!
Answer:
The sign is postive
Step-by-step explanation:
(-5)(-3)
= 15 (double negative)
15(-8)
=-120 (positive negative)
(-120)(-6)
= 720 (negative negative)
1. Alison has 3 skirts, 2 shirts, and 2 pairs of shoes. How many different combinations of
skirt, shirt, and shoes can she choose?
Answer:
12
Step-by-step explanation:
3x2x2 or make a tree diagram
Re-write the equation in slope-intercept form: 5x + 4y = 20
Answer:
y=5-5/4x
Step-by-step explanation:
slope-intercept form: y=mx+b (m= slope, b= y-intercept)
5x + 4y = 20
4y=20-5x
simplify
y=5-5/4x
3. You receive an order for 0.5 g of Tigan IM. You have a 5 mL vial labeled 100 mg/mL. What is the
volume you will need to fill the order?
a. 2 mL
c. 0.5 mL
b. 5 mL
d. 0.02 mL
Answer:
52
Step-by-step explanation:
4.
It takes a lady 3 days to wash the windows
inside and out. Her husband can do the job
in 4 days. How fast can they do it together?
P and q are integers that are multiple of 5. Which of this
not true about p and q
(a) P + q is divisible by 5
(b) P –q is divisible by 10
(c) P + q is divisible by 20
(d) P + q is divisible by 25
Answer:
we conclude that the only option (a) is true.
Step-by-step explanation:
As we know that the multiples of 5 are the numbers which we get when we multiply by 5.
i.e.
5×1=5
5×2=10
Here, 5 and 10 are multiples of 5.
Let p and q are integers that are multiples of 5.
Let us consider
p=5
q=10
so
p+q=5+10
= 15
A number is divisible by 5 if it ends in 5 or 0.
i.e. 15/5 = 3
so p+q is divisible by 3 as there is no remainder left.
Therefore, option (a) is true.
Checking the other options:
(b) P –q is divisible by 10
As
p=5
q=10
so
p-q=5-10
= -5
Numbers that are divisible by 10 need to be even or divisible by 2 and divisible by 5.
As -5 is not divisible by 2.
So, option b is NOT true.
(c) P +q is divisible by 20
As
p=5
q=10
so
p-q=5+10
= 15
Divisibility rule of 20 implies that the last two digits of the number are either 00 or divisible by 20 .
Therefore, P + q= 20 is not divisible by 20 as we don't get the whole number.
(d) P + q is divisible by 25
As
p=5
q=10
so
p-q=5+10
= 15
p+q=15 is not divisible by 25 as it does not end with 00, 25, 50, or 75.
so, option d is NOT correct.
Therefore, we conclude that the only option (a) is true.
simplify the following square root √ -1 =
Answer:
1 .
because sqare root of -1= 1
In a certain company a salesman is paid a fixed salary for $3140 per month plus an annual commision of 2% on the TOTAL value of cars sold for the year. If the salesman sold cars valued at $720000 in 2009 calculate:
(i) his fixed salary for the year
(ii) the amount he recieved in commision for the year
(iii) his TOTAL income for the year
Step-by-step explanation:
(i) 12 months × fixed salary
= 12 × 3140
= 37680 $
(ii) commission = total × 2%
= 720000 × 0.02
= 14400 $
(iii) fixed salary + commission
= 37680 + 14400 = 52080 $
Mason Crosby kicked a career long 61 yard field goal. How many feet did the ball travel?
Answer:
fgqwefgwdgnbn8jhvdsihijhofwebhiwg7dyhdg h hy7rhbfwe r2eery
Step-by-step explanation:
sdheeht vuhudfvbujhnrsdgbkbhdpouibeihbrtuiovb esg7veg8sgxvuew hr 8b0uw e
Find the value of P for which the inflows will equal the outflows. Find the effective rate first.
Rate 8% p y c d
Year Outflows Inflows
0 -P
1 -2P
2 -4P
3 -8P
4 -16P
5 $24,000
6 $30,000
7 $36,000
8 $42,000
9 $48,000
10 $54,000
Answer:
The answer is "p= $5,246".
Step-by-step explanation:
Using formula:
Present value of [tex]\frac{in-flow}{out-flow}[/tex] = cash-flow [tex]\times[/tex] present value of discounting factor(rate %, time period)
[tex]\to -p-\frac{2p}{1.08}-\frac{4p}{1.08^2}- \frac{8p}{1.08^3}-\frac{16p}{1.08^4} =\frac{24000}{1.08^5}+ \frac{30000}{1.08^6}+ \frac{36000}{1.08^7} + \frac{42000}{1.08^8}+ \frac{48000}{1.08^9}+ \frac{24000}{1.08^{10}}\\\\[/tex]
[tex]\to -p[1+\frac{2}{1.08}+\frac{4}{1.08^2}+ \frac{8}{1.08^3}+\frac{16}{1.08^4}] = 127960.43169\\\\\to -p[24.3923427] = 127960.43169\\\\\to -p = \frac{127960.43169}{24.3923427}\\\\\to p= 5245.93\\\\\to p= 5246[/tex]
if two dice are rolled one time, find the probability of getting a sum less than or equal to 4
Answer:
The probability of getting a sum less than or equal to 4 is 1/6.
Step-by-step explanation:
When two dices are rolled, the number of outcomes are: 6*6 = 36 which is written in ordered pairs consisting of outcome of both dices.
When two dices are rolled, the number of sample space elements is:
[tex]n(S) = 36[/tex]
Let A be the event that the sum of outcomes is less than or equal to 4:
[tex]A = \{(1,1),(1,2),(1,3),(2,1),(2,2),(3,1)\}[/tex]
That implies
[tex]n(A) = 6[/tex]
The probability of getting sum less than or equal to 4 will be:
[tex]P(A) = \frac{n(A)}{n(S)} = \frac{6}{36} = \frac{1}{6}[/tex]
Hence,
The probability of getting a sum less than or equal to 4 is 1/6
The probability of getting a sum less than as well as equivalent to 4 will be "[tex]\frac{1}{6}[/tex]".
Probability:The probability that may be an outcome will happen together in random experiment. The greater the likelihood of such an occurrence, the further probable it will materialize.
Let,
The event that the sum less than as well as equivalent to 4 be "A".
According to the question,
Whenever the 2 dices are rolled, the no. of outcomes will be:
= 6 × 6
= 36
and,
The no. of sample elements will be:
n(S) = 36
Now,
A = {(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (3, 1)}
The probability be:
→ P(A) = [tex]\frac{n(A)}{n(S)}[/tex]
= [tex]\frac{6}{36}[/tex]
= [tex]\frac{1}{6}[/tex]
Thus the response above is correct.
Find out more information about probability here:
https://brainly.com/question/24756209