[tex]\log_{10} (3y+2) - 1 = \log_{10}(y-4)\\\\\implies \log_{10} (3y+2) - \log_{10} 10 = \log_{10} (y-4)\\\\\implies \log_{10} \left( \dfrac{3y+2}{10} \right) = \log_{10} (y-4)\\\\\implies \dfrac{3y+2}{10} = y-4\\\\\implies 3y+2 = 10y-40\\\\\implies 10y-3y = 40+2\\\\\implies 7y = 42\\\\\implies y = \dfrac{42}7\\\\\implies y = 6[/tex]
options are
a) -2 and 12/5
b) 1 and 2
c)8/3 and 2
d) 3 and 4
find the unknown measures. round lengths to the nearest hundredth and angle measures to the nearest degree.
Answer:
Angle I = 44
Measure GH=7.64
Measure GI=7.91
Step-by-step explanation:
Angle I:Since we know that m∠H = 46 and m∠G=90, we can find measure angle I by subtracting from 180.
[tex]180=46+90+x\\44=x[/tex]
Measure GH:Since we are given that m∠H = 46, and the triangle is right, we can use trigonometric functions to find the two sides.
First is GH, since it's adjacent to the angle, we will use cosine.
[tex]cos(x)=\frac{adjacent}{hypotenuse} \\cos(46)=\frac{adjacent}{11}\\ 11*cos(46)=adjacent\\7.64=adjacent[/tex]
Measure GI:The same idea as previous, only instead we will use sine since we need to find the opposite.
[tex]sin(x) = \frac{opposite}{hypotenuse}\\ sin(46)=\frac{opposite}{11}\\ 11*sin(46)=opposite\\7.91 = opposite[/tex]
What is the answer to this?
Answer:
4 mm
Step-by-step explanation: The height is the same length of the length
Have a good day!
The volume of a rectangular prism is given by V = l×w×h
48 = 3×4×n
48 = 12n
n = 4
Answer:
n = 4
Step-by-step explanation:
The volume of a rectangular prism is given by
V = l×w×h
Subbing in known variables and solving
48 = 3×4×n
48 = 12n
n = 4
(10x-3)(10x+3) help. please
Answer:
use can FOIL method or grid method
Yummy Cookies just opened a brand new cookie bakery, and sales are increasing every month!
In January, the baker made 10 chocolate chip cookies. In February, the baker doubled the January order, took 6 cookies home to his family, and sold the rest. If the baker continues to double the full amount and then brings 6 cookies home to his family, how many cookies will the baker sell in March and April?
Will mark Brainliest to the first answer!
Answer:
In March the baker will sell 34 chocolate chip cookies. In April he will sell 74 cookies.
Step-by-step explanation:
So first, we end up doubling the original amount of cookies from January for February which gets us 20 cookies, he takes 6 homes leaving us with 14. He continues to double the FULL amount so he doubles 20 for March which gets us 40, then we again take 6 away leaving us with 34. We do the same thing for April. Double 40 getting 80, take away 6 you get 74. Done.
Joey wants to make 2-ounce bags of trail mix for his friends. He has 2 pounds of trail mix. How many 2-ounce bags can he make?
Answer:
16
Step-by-step explanation:
2 pounds = 32 ounces
32 ounces / 2 ounces = 16 ounces
1). Determine which law you would use to find each missing side or angle.
2). Then find it.
Answer:
(a) the law of cosines
(b) approximately 6
Step-by-step explanation:
Check out the attached photo.
The distance between City A and City B is 250 miles. A length of 1.7 feet represents this distance on a certain wall map. City C and City D are 3.06 feet apart on this map. What is the actual distance between City C and City D?
please help me asap...
Answer:
First one.
Step-by-step explanation:
Quantity is usually the best way to know people's preference, that's why Family Feud asks 100 people for their question's answers. This answer may be wrong, since this question is a bit due to opinion. Hope this helps! <3
The graph of an exponential model in the form y=a•b^x passes through the points (3,5) and (4, 10).
Which point is also on the graph?
Answer:
Option C
Step-by-step explanation:
Attached photo might help you out
0.6 litres in the ratio 7:5
PLEASE ANSWER - BRAINLY IF 2 ANSWERS - THANKS ON PROFILE TOO - 5 STAR RATING!
Answer:
$200
Step-by-step explanation:
You can find a point where they are both equal (2,400)
and than divided y/x (400/2)=200
An angle measures 12.8° more than the measure of its supplementary angle. What is the measure of each angle?
Answer:
180 angles usually up and down from each other
Step-by-step explanation:
85.2
94.8
if a1 = 5 and an = an-1 +2 then find the value of a4
Answer:
Step-by-step explanation:
an = (an-1)2 + 5. a1 = 4. Then: a1 = 4. a2 = (4)2 + 5 = 16 + 5 = 21. a3 = (21)2 + 5 = 441 + 5 = 446. a4 = (446)2 + 5 = 198916
helppppppp fasttttt!!!!!!!!!!!!!!!!!!
Answer:
7
Step-by-step explanation:
7+7=14*
14*3.14=43.96
A prince has arrived to rescue a princess standing in a tower balcony 18 meters up across a
moat 12 meters wide. He knew the princess was high up and there was a moat, so he
brought the longest ladder in the kingdom, a 20-meter monster. Is the ladder long enough?
i needddddddd helpppppppppp
Answer:
x = 142°
Step-by-step explanation:
The first thing you need to figure out is the missing interior angle of the triangle.
There is 180 degrees in a triangle, there is a 90° and 52° angle listed, so subtract that from 180° to get the missing angle.
180° - 90° - 52° = 38°
Now we want the exterior angle x. Angle x and the interior angle form a straight line when combined which will also be a 180° angle. You can picture this as a half circle (a full circle is 360°).
So subtract the interior angle 38° from 180°
180° - 38° = 142°
In 1990 an egg cost 2c less than in 1991. In 1992 an egg cost 4c more than in 1991. The cost of 11 eggs in 1990 was the same as the cost of 8 eggs in 1992. Find the cost of an egg in 1991.
Answer:
18
Step-by-step explanation:
given that the eggs cost 16ct in 1990 and 22ct in 1992 you can calculate
16ct+2ct=18ct and 22ct-4ct=18ct
see this vid for full explanation
Find the 9th partial sum of the geometric sequence an=43n–1.
Answer:
39364.
Step-by-step explanation:
I guess its an = 4*(3)^(n-1)
r = 3, a1 = 4 and n = 9
Sum of n terms = a1 * (r^n - 1) / (r - 1)
so S9 = 4 *(3^9 - 1) / (3 - 1)
= 4 * (19683 - 1) / 2
= 78728/2
= 39364.
This is a picture of a cube and the net for the cube.
What is the surface area of the cube?
Answer:
6a²
Step-by-step explanation:
6×5² = 6×25 = 150cm²
thank you
Answer:
150 centimeters cubed
Step-by-step explanation:
[tex]6x2^2= 150[/tex]
On the semester final, Joe scored 85, Jill scored 89, and Bill scored a 99. What was the average (mean) score for
these students?
Answer:
91
Step-by-step explanation:
If we add all of the student's scores we get 273. Because there are 3 students we divide 273 by 3 and we get 91 as the average.
A certain third-degree polynomial function has zeros at-5, -1, and 2. Which could NOT be a factor of the expression that defines the function?
7 - 1
Answer:
I am pretty sure it is the second option
Step-by-step explanation:
Hope this helps
the snake slithered 2.25 m before resting on a rock. Then the snake slithered twice as far as it did before, to catch a rat. When the snake headed home he slithered another 90 cm. What was the total distance the snake slithered?
Answer:
Step-by-step explanation:
2.25m + 2(2.25m) + 90 cm =
2.25m + 4.50m + 90 cm
6.75m + 90 cm
1 cm = 0.01m...so 90 cm = 90 * 0.01 = 0.9m
6.75m + 0.9m = 7.65m <===
2.25m + 2(2.25m) + 90 cm =
2.25m + 4.50m + 90 cm
6.75m + 90 cm
1 cm = 0.01m...so 90 cm = 90 * 0.01 = 0.9m
6.75m + 0.9m = 7.65m
OR../=-
1m = 100 cm....so 7.65m = 7.65 * 100 = 765 cm
pls help me i need help
Answer:
[tex]4p^2-3[/tex]
Step-by-step explanation:
Each ticket to a school dance is $4. The total amount in ticket sales is $332. Write and solve an equation to find the number of students attending the dance.
Answer:
a. 4x = 332
b. 83 students
Step-by-step explanation:
Write equation:
4x = 332
Since we know that each ticket per student is $4, we can use "x" as our variable for the number of students
_________________________________________-
Solve
4x = 332
/4 /4
____________
x = 83 students
Hope this helps :)
The lower part of a window is square shape of side 2.1 metre and the upper part is semicircular with the side of square as the diameter. Find the total surface area covered by the window
Answer:
6.14
Step-by-step explanation:
The required area would be 6.14 m²
I hope I helped you
Answer:
6.14m^2
Step-by-step explanation:
Maybe this will help you..
Factor 5x^2−14x+8.
PLS HELP IM STUCK
[tex]5x^2-14x+8\\\\=5x^2-10x-4x +8\\\\=5x(x-2) -4(x-2)\\\\=(x-2)(5x-4)[/tex]
What property of a rhombus is used in this proof of showing that a triangle is an equilateral triangle?
Answer:
Step-by-step explanation:
The property of rhombus that can be used to proof that a triangle is an equilateral triangle is that when it is split into two equal parts, an equilateral triangle is formed.
What is a rhombus?A rhombus is defined as a quadrilateral that has four equal straight sides with opposite sides parallel and equal opposite angles.
A rhombus with two 60 degree angles and two 120 degree angles can be split by one of its diagonals (the one that bisects the 120 degree angles) into two congruent, equilateral triangles.
Therefore, the property of rhombus that can be used to proof that a triangle is an equilateral triangle is that when it is split into two equal parts, an equilateral triangle is formed.
Learn more about quadrilaterals here:
https://brainly.com/question/26690979
#SPJ2
Consider f(x) = -(c+7)^2 + 4. Which of the following are true for f(x)? Check all that apply. Answer choices: the equation is a quadratic. The graph is linear. the vertex is (7,4). The axis of symmetry is x= -7. The y-intercept is (0,4). The graph has a relative maximum. The equation has no real solutions.
The answers are presented below:
The equation is a quadratic - TRUEThe graph is linear. the vertex is (7,4) - FALSEThe axis of symmetry is x= -7 - TRUEThe y-intercept is (0,4) - FALSE The graph has a relative maximum. - TRUEThe equation has no real solutions. - FALSEQuadratic function
The quadratic function can be represented by a quadratic equation in the Standard form: ax²+bx+c=0 where: a, b and c are your respective coefficients. In the quadratic function the coefficient "a" must be different than zero (a≠0) and the degree of the function must be equal to 2.
The vertex of an up-down facing parabola of the form ax²+bx+c is [tex]x_v=\frac{-b}{2a}[/tex] . Knowing the x-coordinate of vertex, you can find the y-coordinate of vertex. When a vertical line passes through the vertex of the parabola, it is called the axis of symmetry.
The y-intercept is the point where the function crosses the y-axis. And, the x-intercept is the point where the function crosses the x-axis, in other words, when y=0.
First, you should convert the given equation to Standard form.
f(x) = -(c+7)² + 4
f(x)= - (c²+14c+49)+4
f(x)= -c²-14c-49+4
f(x)= -c²-14c-49+4
f(x)= -c²-14c-45
After that, you should check each option of the question.
The equation is a quadraticCorrect because present a degree 2 -- f(x)= -c²-14c-45
The graph is linearIncorrect because it is a quadratic function and this function is represented by a parabola.
The vertex is (7,4)The coefficients are: a=-1, b=-14, c=-45. Therefore,
[tex]c_v=\frac{-b}{2a}=-\frac{-14}{2*(-1)} =-\frac{-14}{-2}=-(7)=-7[/tex]
Incorrect because x-coordinate of vertex is -7
The axis of symmetry is x= -7.Correct because [tex]c_v=\frac{-b}{2a}=-\frac{-14}{2*(-1)} =-\frac{-14}{-2}=-(7)=-7[/tex]
The y-intercept is (0,4)You can find the y-intercept using c=0, then f(x)= -c²-14c-45 will be:
f(x)=-45.
Incorrect because the y-intercept is (0,-45).
The graph has a relative maximum.The coefficient a of a quadratic function is negative, thus the function has a point maximum. A relative maximum point is defined as the point where the function changes your direction. In other words, the values of the function increase before the relative maximum and the values decrease after the relative maximum.
Correct, see the attached image.
The equation has no real solutions.It is possible to find the number of roots or solutions from discriminant.
For quadratic equation the discriminant is determined by D=b²-4ac, where: a, b and c are coefficients.
If D > 0 - the function will have two real solutions;
If D = 0 - the function will have one real solution;
If D < 0 - the function will have imaginary solutions;
For given equation, the coefficients are: a=-1, b=-14, c=-45. Thus, D=(-14)²-4*(-1)*(-45)
D=196-180=16
D=16 thus D > 0
Incorrect because the D>0.
Read more about the quadratic function here:
brainly.com/question/1497716
whats the slope of (0,1) and (3,-5)