Answer:
16.68
Step-by-step explanation:
just add them like regular numbers then just put the decimal
If each quadrilateral below is a kite, find the missing measures.
Answer:
F and H are both 121 degrees
Step-by-step explanation:
"A kite has 4 interior angles and the sum of these interior angles is 360°. In these angles, it has one pair of opposite angles that are obtuse angles and are equal." - Cue math
Ok, so the two acute angles add up to 118 degrees, and in order to find the remaining angles we need, subtract 118 from 360 to get 242. Because the two obtuse angles are equivalent, divide 242 by 2 to get the measure of each.
You would like to have $20,000 to use a down payment for a home in five years by making regular, end-of-month deposits into an annuity that pays 6% interest compounded monthly.
How much should you deposit each month?
Round your answer to the nearest cent. Do not include the dollar sign in the answer box below.
The amount that should be deposited monthly is $286.66.
What is a monthly deposit?The monthly deposit is the periodic payment into an investment account that earns interest at a compound rate.
The monthly deposit can be determined using an online finance calculator.
N (# of periods) = 60 months (5 years x 12)
I/Y (Interest per year) = 6%
PV (Present Value) = $0
FV (Future Value) = $20,000
Results:
Monthly Deposit = $286.66
Sum of all periodic deposits = $17,199.36
Total Interest = $2,800.64
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What is the probability of rolling a two on the first die and a three on the second die?
Answer:
a dice has 1 two and 1 three
1/6 *1/6 =1/36
2c-10<3c-9 solve the following inequality
Answer:
\(c > -1\)
Step-by-step explanation:
\(2c-10 < 3c-9\\-10 < c-9\\-1 < c\\c > -1\)
5=1 2/3x how do I solve for x?
You'll first Cross multiply: 5× 3x
that'll give you 15x.
15x=12(12 is a numerical constant).
Divide both sides by the the coefficient of X .That is 15x/15= 12/15
Therefore the answer is 12/15= x
\(\huge\textbf{Hey there!}\)
\(\mathsf{5 = 1 \dfrac{2}{3}x}\)
\(\mathsf{1 \dfrac{2}{3}x = 5}\)
\(\mathsf{\dfrac{1\times3 + 2}{3}x= 5}\)
\(\mathsf{\dfrac{3 + 2}{3}x = 5}\)
\(\mathsf{\dfrac{5}{3}x = 5}\)
\(\large\text{MULTIPLY }\rm{\dfrac{3}{5}}\large\text{ to BOTH SIDES}\)
\(\mathsf{\dfrac{3}{5}\times\dfrac{5}{3}x = \dfrac{3}{5}\times5}\)
\(\large\text{SIMPLIFY IT!}\)
\(\mathsf{x = \dfrac{3}{5}\times5}\)
\(\mathsf{x = \dfrac{3}{5}\times\dfrac{5}{1}}\)
\(\mathsf{x = \dfrac{3\times5}{5\times1}}\)
\(\mathsf{x = \dfrac{15}{5}}\)
\(\mathsf{x = \dfrac{15\div5}{5\div5}}\)
\(\mathsf{x = \dfrac{3}{1}}\)
\(\mathsf{x = 3\div1}\)
\(\mathsf{x = 3}\)
\(\huge\text{Therefore, your answer: \boxed{\mathsf{x = 3}}}\huge\checkmark\)
~\(\frak{Amphitrite1040:)}\)help please it's due tomorrow
\( \{ \: \alpha \: , \: \beta , \: a, \: b \}\)
\( \sf \longrightarrow \: No. \: of \: \: subsets = {2}^{n} \)
where, n denotes to number of elements in set .
Since, given set contains 4 elements .
Thus , 2⁴ {2 raise to power 4} .
\( \sf \longrightarrow \: No. \: of \: \: subsets = {2}^{4} \)
\( \sf \longrightarrow \: No. \: of \: \: subsets = 2 \times 2 \times 2 \times 2\)
\( \sf \longrightarrow \: No. \: of \: \: subsets = 4 \times 4\)
\( \sf \longrightarrow \: No. \: of \: \: subsets = 16\)
Therefore, Required subsets are 16.
They are , Namely;
\( \sf \longrightarrow \: subsets \: = \phi \: \{ \alpha \} \{ \beta \} \{ a\} \{ b\} \: \{ \alpha \beta \} \{ \alpha a\} \{ \alpha b\} \{ \beta a\} \{ \beta b\} \: .....\)
_____________________________
Additional Information:-If n is the number of elements in the set then,
No. of subsets possible for this subset is 2^n that's the (2 raise to the power n).
Let's take another example, {1,2}
Here, n = 2
subsets =2^2 =4
Subsets = ϕ, {1}, {2},{1,2}
Note :- every set is a subset of itself i.e. {1,2} and ϕ is a subset of every set
Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples? Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples?Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples?Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples? Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples? Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples?
What is 126,476,461 divided by 364,555
Answer:
346.93
Step-by-step explanation:
please i’ll fail if i don’t get this right. please i’ll give brainlyist The current temperature of 15°F below zero is 18°F below the high temperature of the day. What is the high temperature for the
day?
OA. 5°F
ов. 33°F
OC. 3°F
OD. 33°F
Answer:
I think its C
Step-by-step explanation:
The graph compares the weights in pounds of 100 dogs and cats that are brought in
to a veterinarian's office. Using the medians, how much more does a typical dog weigh than a typical cat?
Answer:20
Step-by-step explanation:this is wrong
Answer:
40
Step-by-step explanation:
subtract median of dogs and median of cats
So my last question was to explain (4^7/5^2)^3 • and I got that one right but now I have this question and I’m not sure how to do it because on my last one I have to multiply the inside exponent by the outside one, except now there is not outside one
Sorry if that was confusing, but can somebody explain this to me too?
Answer:
\(\dfrac{11^{-4}}{11^8}=\dfrac{1}{11^{12}}\)
Step-by-step explanation:
Apply exponent rule: \(a^{-b}=\dfrac{1}{a^b}\)
\(11^{-4}=\dfrac{1}{11^4}\)
\(\implies \dfrac{11^{-4}}{11^8}=\dfrac{1}{11^8 \cdot 11^4}\)
Apply exponent rule: \(a^b \cdot a^c=a^{b+c}\)
\(\implies \dfrac{1}{11^8 \cdot 11^4}=\dfrac{1}{11^{(8+4)}}\)
\(\implies \dfrac{1}{11^{(8+4)}}= \dfrac{1}{11^{12}}\)
three sides of triangle is x cm y cm z cm its perimeter and semi perimeter
Answer:
Step-by-step explanation:
Perimeter:
\(P=(x+y+z) \ cm\)
Semi-perimeter:
\(SP=\frac{1}{2} (x+y+z) \ cm\)
A trawler A is 40km west of another trawler B. A set off at 20kmh travel at 25kmh. What course should trawler B take to intercept trawler A
Trawler B should take a course that is 18 degrees east of north.
How to explain the angleIn order to intercept Trawler A, Trawler B must travel in a direction that will bring it closer to Trawler A. Since Trawler A is traveling due west, Trawler B must travel in a direction that is east of north. The angle that is 18 degrees east of north will bring Trawler B closest to Trawler A.
Here are the steps to find the course that Trawler B should take:
Draw a diagram of the situation.
Label the two trawlers A and B.
Draw a line representing the direction that Trawler A is traveling.
Draw a line representing the direction that Trawler B should travel.
Measure the angle between the two lines.
The angle between the two lines will be 18 degrees. Therefore, Trawler B should take a course that is 18 degrees east of north.
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plot points for the function f(x)=x^+2x
The equation f(x)=x² + 2x is a quadratic equation, and it passes through the points (0,0) and (1,3)
How to plot the points for the equation?The equation is given as:
f(x)=x² + 2x
Set x = 0
f(0)= 0² + 2(0) = 0
Set x = 1
f(1)= 1² + 2(1) = 3
The above means that the equation f(x)=x² + 2x passes through the points (0,0) and (1,3)
See attachment for the graph of f(x)=x² + 2x
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Which of the following fractions converts to a terminating decimal greater than one?
A. 4/3
B.7/2
C. 1/4
D.13/11
Answer:
B.7/2
Step-by-step explanation:
4/3 = 1.3333...
The number is greater than one, but it is NOT a terminating decimal.
7/2 = 3.5
The number is greater than one and terminating.
1/4 = 0.25
The number is terminating but less than one.
13/11 = 1.181818...
The number is greater than one, but it is NOT a terminating decimal.
Option B is the correct answer.
Hope this helps.
Considering that a fraction is a division, the correct option is:
B.7/2
---------------------------------
To convert the fraction to decimal, we divide the numerator by the denominator.
---------------------------------
Option A:
\(\frac{4}{3} = 1.333333....\)
Greater than one, but non-terminating.
---------------------------------
Option B:
\(\frac{7}{2} = 3.5\)
Greater than one and terminating, thus this is the correct option.
---------------------------------
Option C:
Denominator greater than the numerator, thus less than one.
---------------------------------
Option D:
\(\frac{13}{11} = 1.1818181818....\)
Greater than one, but non-terminating.
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Lucy has 270 green crayons and 360 brown crayons. If she
packs them into bags by color and each bag contains 6
crayons, how many more bags of brown crayons will she have
than bags of green crayons?
bags
Answer:
15 more bags.
Step-by-step explanation:
360/6= 60.
270/6=45
60-45=15.
Hope this helps. <3
Pls help I need help on this question
Answer: B
Step-by-step explanation: Hope this helps:)
Find the quotient of 10^-4/10^2
The quotient of 10⁻⁴/10² is 10⁻⁶
How to Find the quotient of 10⁻⁴/10²?Quotient is the result obtained by dividing one quantity by another. It represents the value that is obtained after division.
For example, if you divide 20 by 2, the quotient is 10 because 20 divided by 2 equals 10.
Division law states that:
10ᵃ / 10ᵇ = 10ᵃ⁻ᵇ
In this case have:
10⁻⁴/10² = 10⁻⁴⁻² (Division law)
10⁻⁴/10² = 10⁻⁶
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Graph the line with slope 1/3 and y-intercept −2.
The graph of the function y = 1/3x - 2 is added as an attachment
Sketching the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
Slope = 1/3y-intercept = -2So, the equation is
y = 1/3x - 2
The above function is a linear function that has been transformed as follows
Vertically stretched by a factor of 1/3Shifted down by 2 unitsNext, we plot the graph using a graphing tool by taking note of the above transformations rules
The graph of the function is added as an attachment
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The radius of a circle is 4 miles. What is the length of a 45° arc?
45°
r=4 mi
The length of a 45° arc with a radius of 4 miles is approximately 3.14 miles, calculated using the formula for arc length.
To determine the length of a 45° arc given a radius of 4 miles, we can use the formula: Arc length = (angle measure / 360°) x 2πr, where r is the radius of the circle and π is a constant equal to approximately 3.14.
Substituting the given values into the formula, we get: Arc length = (45° / 360°) x 2π(4 mi)Arc length = (1/8) x 2π(4 mi)Arc length = (1/8) x 8π Arc length = π
The length of the 45° arc is approximately 3.14 miles.
Summary: To find the length of a 45° arc of a circle, we use the formula: Arc length = (angle measure / 360°) x 2πr. Given a radius of 4 miles, we can substitute the values into the formula to get the length of the 45° arc, which is approximately 3.14 miles.
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1 The figure shows a rectangle inscribed in a circle.
Determine the area of the shaded region. Use 3.14
for and round to the nearest tenth.
Answer:
46.8 cm²
Step-by-step explanation:
The diagonal of the square has length \(\sqrt{6^2+10^2}=2\sqrt{34}\). Therefore, the radius of the circle is \(\sqrt{34}\), meaning the area is \(\pi(\sqrt{34})^2 \approx 34(3.14)=106.76\).
The area of the rectangle is \((6)(10)=60\) cm².
Subtracting the areas, the answer is 46.76 cm², which is 46.8 cm² to the nearest tenth.
the mean mass of 5 men is 76kg. the masses of 4 of the men are 72kg, 74kg, 75kg, and 81kg, what is the mass of the 5th? And
Answer:
78kg
Step-by-step explanation:
Let total mass be M.
mean=M÷5=76
M=380kg
mass of 4men is 72+74+75+81=302kg
mass of 5th man=380-302=78kg
please help me solve. I have answered this with 37.7 and 113.04 and neither are correct.
The radius is 3cm. The area of a sphere is 4πr^2.
3^2 is 9
4π*9=36π
3/4 of a number is 21. What is the number?
21 the number is 21 the number of 1 is 21
Answer:
28
Step-by-step explanation:
3/4 of 21 is easily figured out to be 28 by finding out what we can get from dividing 21 by 3 and adding that once back into 21.
Brainliest please . . . . .
Solve:
A baseball card is purchased for $40 and increases in value by
5% each year over the next two years. How much is the card
worth at the end of the two-year period?
Answer:
$44
Step-by-step explanation:
since its original price is $40, you would just add 5% but since it says 5% EACH year for 2 years , it would be 10%
you would just add 40 plus %10 if im not mistaken which is $44 so the price just went up $2 each year.
sorry if im wrong.
solve |x-3| if x>5 HELP ME!!!!!!!!!!
Answer:
Step-by-step explanation:
chill
If x > 5, then x - 3 > 0 since x is greater than 3. Therefore, |x - 3| = x - 3.
What number is equivalent to
32 + 6 – (14 – 5 × 2) ÷ 4
A
234
B
1012
C
14
D
15
Answer:
C you all welcome:)
Step-by-step explanation:
A was wrong sorry to tell you
Una docena de bananos cuesta $2.650. ¿Cuántas docenas podría comprar una persona con $22.500?. ¿Cuánto obtendría de devueltas? (ojo, existe más de una solución)
Podras comprar un total de 8 docenas, y sobrara $1.30
¿Cuantas docenas se pueden comprar con $22.50?
Sabemos que una docena de bananos cuesta $2.65, y queremos ver cuantas docenas se peden comprar con $22.50, para ver esto, debemos tomar el cociente entre la cantidad de dinero que tenemos y el precio de una docena.
Obtendremos:
$22.50/$2.65 = 8.49
Redondenado al proximo numero entero obtenemos 8, es decir, se pueden comprar 8 docenas.
La cantidad que sobra es:
$22.50 - 8*$2.65 = $1.30
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Naomi's dining room is 7 yards wide and 7 yards long. Naomi wants to install wooden trim around the top of the room. The trim costs $9.00 per yard. How much will it cost Naomi to buy enough trim?
For the functions f(x) = 7x + 4 , h(x) =10/x− 3 and g(x) = 3x − 2
Evaluate
g(4)
h{g(4)}
f-1 (11)
Answer:
g(4) = 10
f⁻¹(11) = 1
h{g(4)} =
if h(x) = (10/x) – 3 = 7
if h(x) = 10/(x – 3) = 10/7
____________
f⁻¹(x) = (x - 4) / 7