Answer:
y varies as √(x+5)
Step-by-step explanation:
y varies as √(x+5)
y= k√(x+5)
k is a constant connecting the two sides.
therefore
k=y/√(x+5)
k=4/√(-1+5)
k= 4/√4
k=4/2
k=2
Y when x=11
y=k√(x+5)
y=2√(11+5)
y=2√16
y=2*4
y=8
28. Scott is participating in a monthly push-up challenge. Each day he is expected to increase the number of push-ups he completes by the same amount.
1 2 3 4
On day 1, Scott completed 3 push-ups. On day 2, Scott completed 5 push-ups. On day 3, Scott completed 7
push-ups. On day 4, Scott completed 9 push-ups.
If Scott continues this pattern, how many push-ups will he be able to
Answer:
On day 5, he should be able to do 11
Step-by-step explanation:
Day 1 - 3
Day 2 - 5 (2 more than day before)
Day 3 - 7 (2 more than day before)
Day 4 - 9 (2 more than day before)
Following this pattern of +2, day 5 should be 11.
that's my thought process, so I hope it works
In AKLM, k = 7.7 cm, m = 5.8 cm and ZM=139°. Find all possible values of ZK, to the
nearest 1oth of a degree.
Answer:
no possible triangles
Step-by-step explanation:
just turn it in blank on delta
Which equation is not equivalent
Answer:
C
Step-by-step explanation:
(2x+3)(x+4) = 2x² + 8x + 3x + 12
= 2x² + 11x + 12 ≠ 2x² + 10x + 12
Find the product and fill in the blanks to write in standard complex number form.
(5+3)(8 - 2) =
Answer:
14
Step-by-step explanation:
Find the product and fill in the blanks to write in standard complex number form.
The population of a town is increasing at a rate of 6.2% per year. The city council believes they will have to add another elementary school when the population reaches 100,000. If there are currently 76,000 people living in the town, how long do they have before the new school will be needed?
Answer:
The correct solution is "4.6".
Step-by-step explanation:
Given:
Interest rate,
r = 6.2%
or,
= 0.062
Amount,
A = 100000
Principle,
P = 76000
As we know,
⇒ [tex]A=P(1+\frac{r}{100} )^n[/tex]
On substituting the values, we get
⇒ [tex]100000=76000(1+\frac{6.2}{100} )^n[/tex]
⇒ [tex](1+0.062)^n=\frac{100}{76}[/tex]
On taking log both sides, we get
⇒ [tex]n \ log_e(1.062)=log_e(\frac{100}{76} )[/tex]
⇒ [tex]n=\frac{ln(\frac{100}{76} )}{ln(1.062)}[/tex]
By putting the values of log, we get
⇒ [tex]=4.5622[/tex]
or,
⇒ [tex]=4.6[/tex]
Sofia has 25 coins in nickels and dimes in her pocket for a total of $1.65. How many of each type of coin does she have? First complete the equations below, where N stands for nickels and D stands for dimes. [?]N + [ ]D = 1.65; N + D
Answer:
Step-by-step explanation:
Let n represent nickels & d dimes
given: n + d = 25 #1 (number of coins)
given: .05n + .10d = 1.65 #2 (amount in dollars)
n = 25 - d #3 (rewrite of #1)
.05(25 -d) + .10d = 1.65 (substitute #3 in #2)
1.25 - .05d + .10d = 1.65 (multiply out the left side)
.05d = .40 (collection of like terms)
d = 8 (divided both sides by.05)
n + 8 = 25 (substitute answer for d in #1)
n = 17 (subtract both sides by 8)
There are 8 dimes and 17 nickels.
Check:
17(.05) + 8(.10) = 1.65 (answers in #2)
.85 + .80 = 1.65 (multiply out the left side)
1.65 = 1.65 ✔️ QED
Answer: There are 8 dimes and 17 nickels.
Step-by-step explanation: 0.05N+.10D=1.65; N+D=25
Multiply (3x - 2)(4x - 7).
7x² - 13x+5
B)
7x2 - 29x + 14
C)
12x2 - 13x + 14
D)
12x2 - 29x + 14
Answer:
D
Step-by-step explanation:
...............
.
....
Step-by-step explanation:
[tex] \tt \mapsto \:(3x - 2)(4x - 7) \\ \tt \mapsto \:3x(4x - 7) - 2(4x - 7) \\ \tt \mapsto \: {12x}^{2} - 21x - 8x + 14 \\ \tt \mapsto \: {12x}^{2} - 29x + 14[/tex]
Option D is correct
Using the gross profit method, find the estimated cost of goods sold for the following data and
net sales value of $600.00 to estimate inventory if gross profit on sales is 30 percent.
• January 1 inventory: 320 serving trays purchased at $1.50 per unit cost
• April 1 inventory: 300 serving trays purchased at $1.10 per unit cost
• July 1 inventory: 100 serving trays purchased at $2.00 per unit cost
O $1,010.00
O $420.00
O $200.00
O $330.00
Answer:
$420.00
Step-by-step explanation:
Find the value of the tangent for ZA.
40 in
12 in
391
CH
91
91
10
b.
3
d.
1091
3
10
Please select the best answer from the choices provided
Answer:
a
Step-by-step explanation:
a
WILL GIVE BRAINLIEST anitas and caseys bills do not vary from month to month. anita pays 80 more than casey does each month. over the course of 4 months,their combined bill is 1,520. write the system of equations that describes this situation and solve it to find the montly payments for anita and casey.
Answer:
1520/4=380 per month
Step-by-step explanation:
The monthly payments for Anita and Casey are 230 and 150.
What is equation?"An equation is a formula that expresses the equality of two expressions consisting of variables and/or numbers, by connecting them with the equals sign =."
Assume
Monthly payments for Anita = x
Monthly payments for Casey = y
We have
Anita pays 80 more than Casey does each month.
We can write the equation
x = y + 80
x - y = 80 ...........................(1)
Over the course of 4 months, their combined bill is 1,520.
We can write the equation
4x + 4y = 1520...................(2)
Solving equations (1) and (2) by substituting equation x = y + 80 in equation (2)
⇒4x + 4y = 1520
⇒4(y + 80) + 4y = 1520
⇒4y + 320 + 4y = 1520
⇒8y = 1520-320
⇒8y = 1200
⇒y = [tex]\frac{1200}{8}[/tex]
⇒y = 150
Substitute y = 150 in equation (1)
⇒x - y = 80
⇒x - 150 = 80
⇒x = 80+150
⇒x = 230
Hence, the monthly payments for Anita and Casey are 230 and 150.
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A 25 foot ladder is set against the side of a house so that it reaches up 15 feet. If Damian grabs the ladder at its base and pulls it 3 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 12 ft.) Round to the nearest tenth of a foot.
Answer: 9.8 ft
Step-by-step explanation: did on delta math:)
Answer:
9.8 ft
Step-by-step explanation:
(attached images) source: deltamath
Write the opposite of the situation:
8 yd. gain in foot ball
pls help will give brainiest for fast and correct answer
1
Answer:
-8 yd. lost in football
Step-by-step explanation:
4. The mode of the following data set is 15, 16, 17, 23. 11, 19, 20, 15, 18, 22. 15, 19
Answer:
Step-by-step explanation:
the mode of the given data is 15 because it repeats highest number of times.
00:00
Find the surface area of the square pyramid. Enter your answer in the box.
10 cm
A
11 cm
11 cm
cm2
compete the two column proof
Answer:
i cant read half the stuff on the paper
bye
Determine whether the distribution below represents a probability distribution.
x
P(x)
3
-.3
6
.5
9
.1
12
.3
15
.4
Answer:
No, not a probability distribution.
Step-by-step explanation:
It appears that one of the probabilities in the table (-.3) is negative, which is not allowed.
Find the surface area of the prism.
5 yd
4 yd
12yd
6 yd
The surface area is
square yards.
Answer:
The surface area is 12 square yards.
Step-by-step explanation:
Find the value of x.
Answer:
[tex] \frac{(x - 8) + 4}{(x - 5) + 3} = \frac{4}{3} \\ \frac{x - 4}{x - 2} = \frac{4}{3} \\ 3(x - 4) = 4(x - 2) \\ 3x - 12 = 4x - 8 \\ x = - 4[/tex]
-picture linked-
ILL MARK BRAINLIEST
PLEASE HELP ME ASAP
Answer:
a
Step-by-step explanation:
3.04 divided by 0.04
Answer:
76
Step-by-step explanation:
3.04/ 0.04=76
pls answer from exercise 14.1 a
Answer:
b = 2a - 1
Step-by-step explanation:
a = 1 , b = 2 x 1 - 1 = 2 - 1 = 1
a = 2 , b = 2 x 2 - 1 = 4 - 1 = 3
a = 3, b = 2 x 3 - 1 = 6 - 1 = 5
a = 4, b = 2 x 4 - 1 = 8 - 1 = 7
Answer:
b = 2a - 1
Step-by-step explanation:
We can see the pattern:
1 = 1 + 0 = 1 + 1 - 1
1 = 1 - 1
3 = 2 + 1 = 2 + 2 - 1
3 = 2 + 2 - 1
5 = 3 + 2 = 3 + 3 - 1
5 = 3 + 3 - 1
7 = 4 + 3 = 4 + 4 - 1
7 = 4 + 4 - 1
.
.
.
What is the total number of outcomes for choosing a numbered card from 1 to 10 and a number on a
number cube labeled one to six?
the total number of out comes would be 16^2 or 256.
some extra things...
A numbered card from 1 - 10 would be 1 over 10 or 10% chance of picking correctly.
a number cube from 1 - 6 would be 1 over 6 or 16.66% chance of picking correctly.
if you want to combine these and pick one from both, it becomes 1 over 16 or 6.25% chance of picking both correctly.
A football coach expects 453 people to come to the next game. A set of bleachers holds 56 fans. If each set of bleachers costs $99, will the coach need to spend more than $1,000 for the bleachers? How can you decide without using division? and links are included to but if it is to cheat i am reporting them
Answer:
No need to spend more than $ 1,000
Step-by-step explanation:
assume the coach needs 10 set
10 set will cover 10×56 = 560 people that more than 453.
so,
the cost is only 10× $99 = $ 990
that less than $ 1,000
Answer:
Fewer than 10 sets of bleachers are needed. This is because 5610 560, which is greater than 453. The cost of 10 sets of bleachers would be $9910 $ 990, which is less than $1,000. The coach will not need to spend more than $1,000 for the bleachers.
Write each percent as a common fraction
16 2/3
9514 1404 393
Answer:
1/6
Step-by-step explanation:
16 2/3% = (16 2/3)/100 = (50/3)/100 = 50/300 = 1/6
Answer this question pls!! (Will give Brainliest)
Answer:
22
Step-by-step explanation:
C=2πr
[tex]C=2*3\frac{1}{2} *\frac{22}{7} =2*\frac{7}{2} *\frac{22}{7} =22[/tex]
kamal earned a total of $32500 in 2017
he paid 9% of his amount into his pension
he paid 22% tax on the remainder of his earings
what is the amount left after paying his pension and his tax???
need the working.
$32500 * 0.09 = 2925
32500-2925 = 29575
29575 * 0.22 = 6506.5
Amount left: 29575 - 6506.5 = 23068.5
You find a mutual fund that offers approximately 6% APR compounded
monthly. You will invest enough each month so that you will have $1000 at
the end of the year. How much money will you have invested in total after 1
year?
O A. $711.32
O B. $994.60
O c. $912.86
O D. $972.84
$972.84 is invested in total after 1 year.
Correct option is (D)
What is compound interest?Compound interest is generally understood to be interest that is earned on both the original investment and any subsequent interest. Compound interest is, thus, the interest earned on both the initial principal and the interest that has already been accrued on this principal.
As per the given data:
Compounding frequency (n) = 12
Final value (FV) = $1000
Time period (t) = 12 months = 1 year
[tex]FV = P(1+\frac{r}{n})^{nt}[/tex]
FV – Future worth of the investment is the final balance in our calculation.
P – Initial balance (the value of the investment);
r – Annual interest rate (in decimal);
n – Number of times the interest is compounded per year (compounding frequency); and
t – Numbers of years the money is invested for.
Substituting the given values
[tex]1000 = P(1+\frac{0.06}{12})^{12 \times 1}[/tex]
[tex]P = \$ 972.84[/tex]
Hence, $972.84 is invested in total after 1 year.
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Find the value of x
7-10 plsss
Answer:
Step-by-step explanation:
Hope it helps u!!
The values of x are 7) 155°, 8) 90°, 9) 140° and 10) 20°.
What is Polygons?Polygons are closed figures which has at least three set of line segments joined together.
The polygon with least number of sides is triangle.
7) It is a polygon with 4 sides (quadrilateral)
Sum of the interior angles of a quadrilateral = 360°
45° + 65° + 95° + x = 360°
x = 360° - (45° + 65° + 95°)
x = 155°
8) Sum of the interior angles of a polygon = (n - 2)180°, where n is the number of sides.
There are 6 sides.
Sum of the interior angles = (6 - 2)180° = 720°
x + 140 + 130 + 120 + 90 + 150 = 720
x = 90°
9) n = 5
Sum of the interior angles = (5 - 2) 180° = 540°
2x + 90 + 100 + 70 = 540
2x = 280
x = 140°
10) Sum of the exterior angles of a polygon is 360°.
4x + x + 98 + 162 = 360
5x = 100
x = 20°
Hence the values of x are found.
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3. Which graph shows the probability distribution of the spinner (red, green, blue, yellow)?
Answer: the first graph does
Step-by-step explanation:
pls help!!!! 15 points !!!
Answer:
56 cm
Step-by-step explanation: