Help Please. Solve for x.
Answer:
x = 16
Step-by-step explanation:
sec(60) = 32 /x
2 = 32/x
x2 =32
x = 16
find four consecutive whole numbers whose sum is 74
Answer:
17, 18, 19, 20
Explanation:
Let the numbers be x, x + 1, x + 2, x + 3
Their sum is equals to 74
x + x + 1 + x + 2 + x + 3 = 74 (group the variables)
x + x + x + x + 1 + 2 + 3 = 74 (simplify)
4(x) + 6 = 74 (subtract both sides by 6)
4x = 68 (divide both sides by 4)
x = 17
Other numbers:
x + 1 = 17 + 1 = 18
x + 2 = 17 + 2 = 19
x + 3 = 17 + 3 = 20
Answer:
17, 18, 19, 20
Step-by-step explanation:
Let four consecutive whole numbers be x, (x + 1), (x + 2) and (x + 3)According to the given condition:x + (x + 1) + (x + 2) + (x + 3) = 74-> 4x + 6 = 74-> 4x = 74 - 6-> 4x = 68-> x = 68/-> x = 17-> x + 1 = 17 + 1 = 18-> x + 2 = 17 + 2 = 19-> x + 3 = 17 + 3 = 20Thus, the four consecutive whole numbers are 17, 18, 19 and 20NEED ANSWER ASAP
Analyze the graph below to identify the key features of the logarithmic function. (6 points)
The x‐intercept is x = −5, and the graph approaches a vertical asymptote at x = −6.
The x‐intercept is y = −5, and the graph approaches a vertical asymptote at y = −6.
The x‐intercept is x = 5, and the graph approaches a vertical asymptote at x = 6.
The x‐intercept is y = 5, and the graph approaches a vertical asymptote at y = 6.
The x intercept is lies at the midpoint of (-6 and -4
so
x=-5 is the x interceptAnd it's translation of logx
translated equation
y=log(x+6) as log x has x intercept at 1Now the vertical asymptote is at
(x+6)=0x=-6Option A
Answer:
The x‐intercept is x = −5, and the graph approaches a vertical asymptote at x = −6
Step-by-step explanation:
From inspection of the graph:
x-intercept is where the curve intercepts the x-axis → x = -5
y-intercept is where the curve intercepts the y-axis → y ≈ 0.75
An asymptote is a horizontal or vertical line which the curve gets infinitely close to, but never touches.
From the portion of the curve in the graph, it appears that the curve gets very close to but never touches:
the vertical line x = -6the horizontal line x = 1(However, without seeing a large portion of the graph, we cannot be sure, particularly for the horizontal asymptote).
Therefore, from the given solution options:
The x‐intercept is x = −5, and the graph approaches a vertical asymptote at x = −6
Please help brainliest who answer's first and correct
Answer:
just start at like 220 i am pretty sure
Step-by-step explanation:
A cube has a volume of 0.215ft³. What is te length of each side of the cube?
Answer:
length ≈ 0.599 feet
Step-by-step explanation:
volume = length³
0.215ft³ = length³
cube root both sides to isolate the length
∛(0.215ft³) = length
length ≈ 0.599 feet
Write and solve an equation to find the value of x.
Answer:
x = 5
Step-by-step explanation:
By the property intersecting chords:
x(16) = (10)(8)
-> x (16) = 80
-> x = 80/16
-> x = 5
PLEASE HELP WILL MARK BRAINLIEST 45 POINTS
Answer:
I got 58.5
I multiplied 3x9 to get 27
then 3x6 to get 18
then 3x9/2 to get 13.5 and added them all together.
Figure A is a scale image of figure B
Answer:
x = 7.5 units
Step-by-step explanation:
10 * .75 = 7.5
What is the area of this right triangle?
30 mm²
39 mm²
60 mm²
78 mm²
Answer:
30
Step-by-step explanation:
since we are looking for the area of a right triangle you want to use the legs of the triangle. Basically 5x12 over 2= 30, I think I am correct if not I apologize/
Answer:
the answer is 78
Step-by-step explanation:
12x 5= 60
60x13=180
180+600=780
the answer equals up to 78
-
Which equation has the same solution as x2 - 6x - 12 = 0?
A (x + 3)2 = 21
B (x - 3)2 = 21
(x + 3)2 = 3
Dx-3) = 3
Answer:
[tex](x-3)^2 =21[/tex]
Step-by-step explanation:
[tex]~~~~~~~x^2-6x-12=0\\\\\implies x^2 -6x +9-21=0 \\\\\implies x^2 -2\cdot x \cdot 3 +3^2=21\\\\\implies (x-3)^2 =21[/tex]
$6300 at 5% annual rate, compounded semi- annually, for 2 years
Answer:
$6954.02.
Step-by-step explanation:
The formula is
A = P(1 + 0.05/n)^2n where A is the amount compounded, P = initial investment and n is the number of years.
A = 6300(1 + (0.05)/2)"(2*2
= 6954.02
22. Which of the following is the equation of the circle shown below? .2 = a. x2 + (y + 3)2 = 3 b. x2 + (y - 3)2 = 3 c. x2 + (y + 3)2 = 9 d. x2 + (y - 3)2 = 9 = --13 2
Answer:
23456789-123456789
Step-by-step explanation:
es la cuadricula
Please help.
fiona asked 150 students to select their favorite fruit and then recorded the results in the bar graph below. fiona will ask another 45 students to select their favorite fruit. based on the information in the bar graph, how many more students from the next 45 are likely to select oranges rather than bananas their favorite fruit?
The number of students that are more likely to select oranges rather than bananas their favorite fruit from the next 45 is; 3.
What no. of students from the next 45 are likely to select oranges rather than bananas their favorite fruit?It follows from the task content that the number of students surveyed initially is 150 and only, 30 -20 = 10 students preferred orange to bananas.
On this note, it follows that the number of students who prefer oranges rather than bananas from the next 45 is; = (45 × 10)/150 = 3.
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The orbit of a planet around the sun is not circular; it is an ellipse with
the Sun at one focus. The aphelion of a planet is the greatest distance
from the sun and the perihelion is its shortest distance. The mean
distance of a planet from the sun is the length of the semimajor axis of
the elliptical orbit. The perihelion of Pluto is 4551 million miles, and the
distance from the center of its elliptical orbit to the sun is 897.5 million
miles. Find the aphelion of Pluto. What is the mean distance of Pluto
from the Sun? Write an equation to represent the orbit of Pluto around
the Sun.
The equation to represent the orbit of Pluto around the Sun will be x²/4659.42 + y²/4566.31 = 1.
How to compute the equation?The distance from the center of the elliptical orbit to the sun is 897.5 million miles. The aphelion will be:
= 5448.5 + 897.5
= 6346 million miles
The equation of ellipse will be:
x²/a² + y²/b² = 1
x²/4659.42 + y²/4566.31 = 1
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As of 2016, Illinois has a population of 12, 801,539 people and has a land area of 55,519 square miles. Texas has a population of 27,862,596 people and a land area of 261, 232 square miles. Based on this data, which state has the greater population density? Move the correct state to the first blank, and move numbers into the remaining blanks to justify the answer. The state with the greater population density is because Illinois Texas 107 231 55,519 261, 232 12,801, 539 27,862, 596
Using it's concept, it is found that the state with greater population density is Illinois.
What is population density?Population density is the number of habitants divided by the area.
Considering the data given, for Illinois, the density is given by:
Di = 12,801,539/55,519 = 230.58 habitants per square mile.
For Texas, the density is given by:
Dt = 27,862,596/261,232 = 106.66 habitans per square mile.
Di > Dt, hence the state with greater population density is Illinois.
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The list 11, 20, 31, 51, 82 is an example of a list of five strictly positive integers
arranged in ascending order and of which we obtain the third integer by adding the
first and second integers, the fourth by adding the second and third
integers, and the fifth by adding the third and fourth integers. How much
such lists of five positive integers have 124 as the fifth integer?
PLEASE HELP ME I GIVE BRAINLIEST
Answer:
[tex]\frac{2\pi }{3} \ ,\ \pi \ ,\ \frac{4\pi }{3}[/tex]
Step-by-step explanation:
suppose cos(x) = y
Then
[tex]2\cos^{2} \left( x\right) +3\cos x+1=0\Longleftrightarrow \begin{cases}2y^{2}+3y+1=0&\\ y=\cos \left( x\right) \ \ \text{and} &0\leqslant x\leqslant 2\pi \end{cases}[/tex]
2y² + 3y + 1 = 0 ⇒ y = -1 or y = -1/2 (because 2-3+1=0)
y = -1 ⇔ cosx = -1 ⇒ x = π (because x∈[0,2π] )
y = -1/2 ⇔ cosx = -1/2 ⇒ x = 2π/3 or x = 4π/3
Final answer :
x = π or x = 2π/3 or x = 4π/3
solve the system using elimination. show all work. write your answer in the form (x,y) 2x-3y=18 x+y=14
Answer:
x=12 y=2
Step-by-step explanation:
Due to fractions have screen shorted the steps in the image above
Grace collected data from twenty of her friends about the number of pets they have. The median number of pets is two.
What does the median say about Grace's data set?
Answer options with 4 options
A.
Everyone Grace surveyed has two pets.
B.
More of Grace's friends have two pets than any other number.
C.
Two is the middle number when the number of pets in the data set is ordered from least to greatest.
D.
Two is the difference between the greatest and least number of pets Grace's friends have.
The statement which median describe about Grace's data set is 2 is the middle number when the number of pets in the data set is arranged from least to greatest.
What is the median of a data set?The median of the data is the middle value of the data set when it arrange in ascending or descending order.
Grace collected data from twenty of her friends about the number of pets they have. The median number of pets is two.
Median=2
By the definition of median of data set, the median two tells that the middle value of the pet is 2 when arranged in high to low point.
Thus, the statement which median describe about Grace's data set is 2 is the middle number when the number of pets in data set is arranged from least to greatest.
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what's the answer?? please help me
The product of the polynomials (3x 2) and (-x^3 – 3) is . when this product is multiplied by (3 x), the coefficient of x4 in the result is
Answer:
(3x + 2)(-x^3 - 3) =
3x(-x^3 - 3) + 2(-x^3 - 3) =
-3x^4 - 2x^3 - 9x - 6 <== result of multiplying (3x+2)(-x^3-3)
now multiply that by (3+x)...
(3+x)(-3x^4 - 2x^3 - 9x - 6) =
3(-3x^4 - 2x^3 - 9x - 6) + x(-3x^4 - 2x^3 - 9x - 6) =
-9x^4 -6x^3 - 27x - 18 - 3x^5 - 2x^4 - 9x^2 - 6x =
-3x^5 - 11x^4 - 6x^3 - 9x^2 - 33x - 18 <== result of multiplying by (3 + x)
the coefficient of x^4 = -11 <==
Step-by-step explanation:
Answer:
(3x + 2)(-x^3 - 3) =
3x(-x^3 - 3) + 2(-x^3 - 3) =
-3x^4 - 2x^3 - 9x - 6 <== result of multiplying (3x+2)(-x^3-3)
now multiply that by (3+x)...
(3+x)(-3x^4 - 2x^3 - 9x - 6) =
3(-3x^4 - 2x^3 - 9x - 6) + x(-3x^4 - 2x^3 - 9x - 6) =
-9x^4 -6x^3 - 27x - 18 - 3x^5 - 2x^4 - 9x^2 - 6x =
-3x^5 - 11x^4 - 6x^3 - 9x^2 - 33x - 18 <== result of multiplying by (3 + x)
the coefficient of x^4 = -11 <==
Step-by-step explanation:
jackson bought 3 pounds of candy for 9.60. What was the price of this candy in cents per ounce? PLS HELP
Answer:
The price of candies in cents per ounce is 20 cents per ounce.
Step-by-step explanation:
960 cents/(48 oz) = 20 cents/oz
What is the volume of a right circular cylinder with a base radius of 6 feet and a height of 10 feet? 900 cubic meters 120 cubic meters 180 cubic meters 360n cubic meters
Step-by-step explanation:
the volume of a cylinder is
base area × height = pi×r² × height
with r being the radius.
so, we get
pi×6² × 10 = pi×36 + 10 = 360pi =
= 1,130.973355... ft³
now we need to look at the conversion rate between feet and meters :
1 ft = 0.3048 m
1 ft² = 0.3048² m² = 0.09290304 m²
1 f³ = 0.3048³ m³ = 0.028316847... m³
1,130.973355... ft³ = 1,130.973355... × 0.028316847... =
= 32.025599... m³
so, something is not right with your answer options. it looks like you put maybe the answer options of a different question in here.
but none of them get even close to the actual solution of the given question.
please help me solve this solve the triangle round to nearest tenth
Answer:
the measurement of the angle A is 39.17°
Find the area of the composite figure below
Answer:
the answer is 25 hope it helps
PLEASE HELP ME I NEED HELP
Step-by-step explanation:
here you go hope it helps
Answer:
a = 9
b = 9√3
Step-by-step explanation:
What is the sum of the first five terms in this series?
6 - 6/3 + 6/9 - 6/27 + . . .?
Answer:
4 14/27
Step-by-step explanation:
The first five terms
6
-6/3
6/9
-6/27
+6/81
The first thing to do is change all the fractions denominators to 81.
Sum = 6*81/81 - 6(27)/81 + 6*9/81 - 6*3/81 + 6/81
Now add
Sum = 366/81
Sum = 4 14/27
Sum = 4.5185
Note the first term. It has been multiplied by 6*81/81. The 81 over 81 does not change the value of anything 6 * 81/81 is still 6. It just makes it easier to combine with the other members of the series.
Which graph correctly shows point A as the sum of the complex numbers z1 and z2?
Which graph correctly shows point A as the sum of the complex numbers z1 and z2?
A.
B.
C.
D.
The graph which correctly shows the point A as the sum of the complex numbers z₁ and z₂ is graph number 4.
What is complex number?A complex number is the combination of real and imaginary number. In a complex number, real part and imaginary part of the number are written together. For example,
a+bi
Here, (a) is the real part while (b) is the imaginary part.
To add the two complex number on the graph, the addition as transition method is used.
In this one complex number is translated to the tip of the other graph. The resultant of addition is equal to the distance between them.
On the graph 4, the transition method of addition is applied.Thus, the graph which correctly shows the point A as the sum of the complex numbers z₁ and z₂ is graph number 4.
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What is the circumference of a circle with a diameter of 85 feet?
feet
(Use 3.14 for Pi.)
Answer:
266.9 feet
thats the answer
sana makatulong poww huhu
FIND THE EXACT AREA PLEASE HELP ILL GIVE BRAINLIESTTTT
Check the picture below.
[tex]\textit{area of a circular ring}\\\\ A=\pi (R^2-r^2)~~ \begin{cases} r=\stackrel{smaller}{radius}\\ R=\stackrel{larger}{radius}\\[-0.5em] \hrulefill\\ r=2\\ R=3 \end{cases}\implies \begin{array}{llll} A=\pi (3^2-2^2)\implies A=5\pi \\\\\\ A\approx 15.71 \end{array}[/tex]
