Step-by-step explanation:
sin60°=opposite/adjacent sin60°=x/7 √3/2=X/7 u will crisscross it here 7√3/2=XX=7√3/2Carlos has a box of coins that he uses when playing poker
with friends. The box currently contains 33 coins,
consisting of pennies, dimes, and quarters. The number of
pennies is equal to the number of dimes, and the total
value is $3.18. How many of each denomination of coin
does he have?
Number
Denomination of Coins Value
0.01
х 0.01x
х
0.25
33 3.18
The number of quarters is
The number of pennies, which is also equal to the number of dimes, is
(Simplify your answers.)
Answer:
so far i got 8 quarters 14 dimes and 13 pennies
Step-by-step explanation:
ill update you if i got any closer
write the product using exponents. 1/5 x 1/5 x 1/5 x 1/5 x 1/5
Answer: 1/5 with an exponent of 5.
hope this helps :)
Question
Evaluate
6c2 + 2cd + 3d - 4/-6d-3
when c = 1 and d= -2. Enter an integer or a fraction.
This question was not properly written
Complete Question
Evaluate
6c^2 + 2cd + 3d- 4/-6d - 3
when c = 1 and d= -2. Enter an integer or a fraction.
Answer:
Step-by-step explanation:
6c^2 + 2cd + 3d- 4/-6d -3
c = 1 and d= -2.
6 × 1^2 + 2 × 1 × -2 + 3(-2) - 4]/ -6× (-2) -3
6+ (-4) +[ (-6) - 4]/-6(-2) - 3
6 - 4 + -10/12 - 3
2 - 10/9
= -8/9
what is 4x+3=11 what is the value of x?
Answer:
The Answer is x=2
Step-by-step explanation:
Hope this helps!!!!
Answer:
x=2
Step-by-step explanation:
4x+3=11
4x=11-3 ( subtract 3 on both sides)
4x=8
x=2 ( divide 4 on both sides)
How much miles will the car use with 17 gallons of gas?
Answer:
from the graph we can see that
for 2 gallones - it can travell 70 miles
4 gallones - 140 miles
we will take the first case
2 gallones - 70 miles
17 gallones - ? miles
cross multiply
\( \frac{17 \times 70}{2} \)
= 595 miles
Translate žy - 9 BRAINLIEST TO WHOEVER ANSWERS
Answer:
Step-by-step explanation:
In the equation, we are subtracting 9 from \(\frac{2}{3}y-9\). Hence, the first back should be "less", as we are taking out 9.
Nine less than two-thirds of a number is less than the number ___
The second blank must be related to the addition of one. The best word that suits for this sentence would be "plus 1."
Nine less than two-thirds of a number is less than the number plus 1.
Describe the possible values of x.
Step-by-step explanation:
use the picture as a reference
Answer:
x= any value bigger than 5/3 but smaller than 6
I could be 1 or 3, or 4....
5/3<x<6
Step-by-step explanation:
According to triangle inequality theorem, for any given triangle, the sum of two sides of a triangle is always greater than the third side.
(x+11) +(2x+10)>(5x-9)
6>x ( x less than 6)
(x+11)+(5x-9)>(2x+10)
x>2 (x more than 2)
(2x+10)+(5x-9)>(x+11)
x> 5/3 (x more than 5/3)
Find the extreme values of f subject to both constraints. (If an answer does not exist, enter DNE.) f(x, y, z) = yz + xy; xy = 1, y^2 + z^2 = 25
Answer:
pls post pic of question can't understand ur question
Work out the volume of the prism height of 12 4 and five
The calculated volume of the prism is 702 cubic cm
Finding the volume of the prismFrom the question, we have the following parameters that can be used in our computation
The trapezoidal prism (see attachment)
The formula of the volume of a trapezoidal prism is
Volume = Base area * Height
Where we have
Base area = 1/2 * (8 + 10) * 6
Evaluate the sum of 8 and 10
Base area = 1/2 * 18 * 6
Evaluate the products of 1/2, 18 and 6
Base area = 54
Also, we have
Height = 13
So, the volume is calculated as
volume = 13 * 54
Evaluate
volume = 702
Hence, the volume of the prism is 702 cubic cm
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Pablo shares 525 cupcakes in the ratio of 3:4 between his
bakery and a supermarket
How many cupcakes does the supermarket get?
si ABCD son los vertices de un cuadrado y A(2,2) y C (10,8) 2 vertices opuestos. Hallar los otros dos vertices, dar como respuesta la mayor de las ordenadas
The area of the square is given as 100 square unit
How to determine the area of square?You should be aware that the square has all its sides equal
The perpendicular from opposite vertices represent distance
The given vertices are
(2,2) and (10,8)
Using the formula for distance between two points
d=√(10-2)²+(8-2)²
d=√8²+6²
d = √64+36
d=√100
This implies that d=10
The area of a square is given as s²
Area = 10²
Atrea = 100 square units
In conclusion, the area of the square is 100 square units
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Translated question:
The vertices of a square ABCD are A(2,2) and B(10,8), Find the area of the square
Which is the correct answer ?
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
because it is correct
find the area of a rectangle with a length of 10 inches and a width of 4 inches
Answer:
40 in²---------------------
Formula for area of a rectangle with dimensions l and w is:
A = lwSubstitute 10 for l and 4 for w:
A = 10*4A = 40 in²Question 2/2
Question 1 Part B (01.02, 01.03 MC): A boutique owner needs to sell $1,200 in clothing each week. This week, she is within $125 of
her goal.
What does the variable in the equation represent? (2 points)
4 of 19
Back
A. Amount the owner needs to sell
B. Price per item
C. Number of items sold
D. Total sales for the month
1 answer(s) selected
Open notes navigator A
A boutique owner needs to sell $1,200 in clothing each week. This week, she is within $125 of her goal. The variable in the equation is
C. Number of items soldWhat is variable in math?A variable is a quantity that could change depending on the circumstances of an experiment or mathematical problem.
Typically, a variable is denoted by a single letter. The general symbols for variables most frequently used are the letters x, y, and z.
In the context of the problem, the boutique owner wants to make $1,200 in clothing each week. This amount in made by the number of items sold as this is added to get to the amount the boutique owner is targeting
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1)! (b) Complete the table of values for y = 3x + 1.
Please help ❤️
Answer:
y = -2, 1, 4, 7 (in order)
Step-by-step explanation:
Plug in the value of x into the equation to find y.
For example for -1, plug in x as -1 into the equation.
y = 3(x) +1
y = 3(-1) + 1
y = -2
Similarly plug in the x to find the rest of the values for y.
1. The slant height of a cone is 5cm and the radius of its base is 3cm. Find correct to the nearest
whole number the volume of the cone (A) 48cm3 (B) 47cm3 (C) 38cm3 (D)13cm3
The volume of the cone is 13 cm³. option D
How to determine the volumeTo determine the volume of the cone, we have that;
The formula for calculating the volume of a cone is expressed as;
Volume = (1/3)πr ²√(L ² - r ²).
Such that;
r is the radiusL is the slant heightSubstitute the values, we have;
Volume = 1/3 × 3.14 ² × √(25 - 9)
Find the squares, we get;
Volume, V = 1/3 × 9. 86 × √16
Find the square root
Volume, V = 1/3 × 9.86 × 4
Volume, V = 13 cm³
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Convert 500 cubic into gallons round to whole number
The conversion of 500 cubic into gallons round to whole number is 3 gallons.
The concept that will be used is the concept of converswion of units.
It should be noted that there are 7.48 gallons of water in one cubic foot of water. Then we were given 500 cubic, then,
1cubic inch = 0.004329
500 cubic = X gallons
where X is the value in gallons, then cross mul;tiply we have
X= (500 cubic * 0.004329) = 2.1645 gallons
Therefore, the conversion into gallons will gives us 2.1645 gallons, then we can round into whole number was instructed as 3 gallons.
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Marianna finds an annuity that pays 8% annual interest, compounded quarterly. She invests in this annuity and contributes $10,000 each quarter for 6 years. How much money will be in her annuity after 6 years? Enter your answer rounded to the nearest hundred dollars.
The amount of money in Marianna's annuity after 6 years will be approximately $300,516.
To calculate the amount of money in Marianna's annuity after 6 years, we can use the formula for compound interest on an annuity:
A = P * ((1 + r/n)^(n*t) - 1) / (r/n)
Where:
A = the final amount in the annuity
P = the regular contribution (each quarter) = $10,000
r = annual interest rate = 8% = 0.08
n = number of compounding periods per year = 4 (since it's compounded quarterly)
t = number of years = 6
Plugging in the values:
A = 10000 * ((1 + 0.08/4)^(4*6) - 1) / (0.08/4)
Calculating this expression:
A ≈ 10000 * ((1.02)^24 - 1) / 0.02
A ≈ 10000 * (1.601032449136241 - 1) / 0.02
A ≈ 10000 * 0.601032449136241 / 0.02
A ≈ 10000 * 30.05162245681205
A ≈ 300,516.22
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Answer:
304200
Step-by-step explanation:
To find the value of P6, use the savings annuity formula
PN=d((1+r/k)N k−1)r/k.
From the question, we know that r=0.08, d=$10,000, k=4 compounding periods per year, and N=6 years. Substitute these values into the formula gives
P6=$10,000 ((1+0.08/4)6⋅4−1)/(0.08/4).
Simplifying further gives P6=$10,000 ((1.02)24−1)/(0.02) and thus P6=$304,218.62.
Rounding as requested, our answer is 304200.
Why is FOQZ the odd one out in
these sets of letters?
BCDEGPTV AJK FOQZ IY
The odd one out in the set is "FOQZ." It deviates from the pattern by the other sets, where the letters are arranged in Alphabetical order.
The set of letters "BCDEGPTV AJK FOQZ IY" seems to follow a specific pattern. If we examine the letters in each group, we can identify a difference that sets "FOQZ" apart from the others.
In the first group "BCDEGPTV," the letters are arranged in alphabetical order. Similarly, in the second group "AJK," the letters are also in alphabetical order. However, when we look at the third group "FOQZ," the letters do not follow alphabetical order.
Based on this pattern, we can conclude that the odd one out in the set is "FOQZ." It deviates from the pattern followed by the other sets, where the letters are arranged in alphabetical order.
It's worth noting that the pattern could be based on different criteria, such as the position of the letters in the alphabet or some other sequence. Without additional information or context, it is difficult to determine the exact pattern or reason for the deviation.
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if f(x) = 5x -11 what is the value when f(8)
Answer:
29
Step-by-step explanation:
f(8)=5(8)-11
=40-11
=29
Subtract: 11a2– 15b2.
The difference can be displayed as (√11a - √15b) (√11a + √15b).
What are Algebraic Identities?Algebraic identities are equations in which the right-hand side of the equation's value is exactly equal to the left-hand side of the equation's value. Any value for the variables satisfies them. To further comprehend this, let's look at an illustration.
(a + b)² = a² + 2ab + b²(a - b)² = a² - 2ab + b²(a + b)(a - b) = a² - b²(x + a)(x + b) = x² + x(a + b) + abgiven:
11a²– 15b²
Using the identity
(a² - b²)= ( a+ b)(a- b)
so, 11a²– 15b²
[(√11a)²– (√15b)²]
= (√11a - √15b) (√11a + √15b)
Hence, the difference can be displayed as (√11a - √15b) (√11a + √15b).
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The first step to solve the equation 4 3 4 16 is shown below. X G 3 164 3 4 4 4 4 Which property was applied in this step? O Addition Property of Equality O Subtraction Property of Equality Multiplication Property of Equality Division Property of Equality
In this case, we use the addition property of equality: if w
what is -5.3125 in The real Number System?
Answer:
It'd be a rational number
Step-by-step explanation:
Real numbers are a set of numbers containing all of the rational numbers and all of the irrational numbers.
Types of numbers in the rational number "section" are decimals, whole, mixed, and fraction numbers whether they are negative or positive they are rational numbers.
Irrational numbers are numbers that cannot be expressed as the ratio of two integers. So they would be square root, pi and more.
10x-7x+3
simply plssss
Answer:
3x+3
plz mark brainliest
Answer:
3x + 3
Step-by-step explanation:
Combine like terms. Like terms are terms with the same amount of variables.
10x - 7x + 3
(10x - 7x) + 3
Subtract:
10x - 7x = 3x
Remember to bring the constant down.
3x + 3 is your answer.
~
For what value of 2 will the function f(x), be continuous at x=0?
(See Image) Thanks
(i) \(\lim_{x \to \pi/3}\) f(x) = 1 + √3.
(ii) \(\lim_{x \to \frac{\pi}{4}} f(x)\) does not exist.
For λ = 2.5, the function f(x) will be continuous at x = 0.
Given the function is,
f(x) = 1.5, when x = 0
= 1 -2 sin x, when x < π/4
= 1 + 2 sin x, when x > π/4
= 1 + (sin λx/sin 5x)
Now,
\(\lim_{x \to \pi/3}\) f(x) = \(\lim_{x \to \pi/3}\) (1 + 2 sin x) [Since, π/3 > π/4]
= 1 + 2 sin (π/3)
= 1 + 2√3/2 = 1 + √3
Hence, \(\lim_{x \to \pi/3}\) f(x) = 1 + √3.
Now left hand limit is,
\(\lim_{x \to \frac{\pi^+}{4}}\) f(x) = \(\lim_{x \to \frac{\pi^+}{4}}\) (1 + 2sin x) = 1 +2 sin(π/4) = 1 + 2*(1/√2) = 1 + √2
and right hand limit is,
\(\lim_{x \to \frac{\pi^-}{4}}\) f(x) = \(\lim_{x \to \frac{\pi^-}{4}}\) (1 - 2 sin x) = 1 - 2*(1/√2) = 1 - √2
Since left hand limit and right hand limit are not equal so value of \(\lim_{x \to \frac{\pi}{4}} f(x)\) does not exist.
\(\lim_{x \to 0}\) f(x) = \(\lim_{x \to 0}\) (1 + (sin λx/sin 5x)) = 1 + \(\lim_{x \to 0}\) ((sin λx/λx)/(sin 5x/5x))*(λ/5) = 1 + λ/5
Since f(x) is continuous at x = 0.
So, \(\lim_{x \to 0}\) f(x) = f(0)
1 + λ/5 = 1.5
λ/5 = 1.5 - 1 = 0.5
λ = 2.5
Hence the value of λ will be 2.5.
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The angle of elevation to the top of a Building in New York is found to be 4 degrees from the ground at a
distance of 1.75 miles from the base of the building. Using this information, find the height of the building.
Round to the nearest whole number.
Your answer is
Submit Question
feet.
The height of the building can be 649.44 ft
What is angle of elevation ?
angle of elevation states that the angle which is formed between line of sight and horizontal line.
Given, the base of the triangle is 1.75 mile. The angle opposite of the tall side, x, is 4 degrees.
height of the building is an unknown variable (x) .
tan(angle) = opposite length /adjacent length.
Opposite length is x, adjacent length is 1.75 mile, angle is 4 degrees.
tan(4º) = x / 1.75
rearrange for x
x = 1.75*tan(4º) = ~1.75*0.0699 miles.
x = ~0.123
Now to get feet, just multiply by 5,280 ft in one mile
Height of the building is 0.123 miles * 5280 ft/mile = 649.44 ft
Hence , The height of the building can be 649.44 ft .
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Which of the following statements
about the graph of the polynomial
function f(x)= x³ + bx² cx +d do you
believe must be true?
1. It intersects the vertical axis at
one and only one point.
2. It intersects the x-axis in at most
three points.
3. It intersects the x-axis at least
once.
4. As x→∞, f(x)→∞.
5. It has at most two turns.
6. Only 1, 2 and 3 are true.
7. They are true except alternative
5.
8. All these alternatives are true.
The correct answer is option 6: Only 1, 2 and 3 are true.
Following are statements about the graph of the polynomial function f(x) = x³ + bx² + cx + d:
1) It intersects the vertical axis at one and only one point.
This is true because the vertical axis is the y-axis and the coefficient of x³ is 1, which means that the degree of the polynomial is odd and it must intersect the y-axis at only one point.
2) It intersects the x-axis in at most three points.
This is true because the degree of the polynomial is 3, which means it can intersect the x-axis at most 3 times.
3) It intersects the x-axis at least once.
This is also true because the degree of the polynomial is odd and as x approaches infinity or negative infinity, the value of the function will also approach infinity or negative infinity, which means it must cross the x-axis at least once.
4) As x→∞, f(x)→∞.
This is true because the coefficient of the term with the highest degree (x³) is positive, which means that as x approaches infinity, the value of the function also approaches infinity.
5) It has at most two turns.
This is false because a polynomial of degree 3 can have at most 2 turns or points of inflection, but it is not necessarily the case for every polynomial of degree 3.
Therefore, the correct answer is option 6: Only 1, 2 and 3 are true.
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What is the slope of a line parallel to the line whose equation is 4x-y=-4
Answer:
-y= -4x -4
y= 4x +4
slope is 4
Step-by-step explanation:
7x2x2x2 is the prime factorization for which of the following
А
72
B
56
С
44
D
28
A merchant gains 20 %by selling an article for rs 480. what percent would he have gained or lost if he had sold it for rs 430
Answer: 7.5% gain
Step-by-step explanation:
First find the original price of the article.
Assume this price to be x.
x + (x * 20%) = 480
x + 0.2x = 480
1.2x = 480
x = 480/1.2
x = Rs. 400
Original price is Rs. 400.
If the merchant had sold the article for 430, the percent gain would have been:
= (Selling price - original price) / Original price
= (430 - 400) / 400
= 7.5%