[tex]\text{Given that,}\\\\\log_b x =2,~~ \log_b y=5,~~ \log_b z = 4\\\\\\\log_b(x\cdot y)\\\\=\log_b x + \log_b y~~~~~~~~~~~~~~~;[\log_b(MN) = \log_b M+ \log_b N ] \\\\=2+5\\\\=7\\\\\\\log_b\left( \dfrac{xy^2}{z^2}\right)\\\\=\log_b (xy^2) - \log_b z^2~~~~~~~~~~;\left[\log_b\left(\dfrac MN \right) = \log_b M - \log_b N \right] \\\\=\log_b x +\log_b y^2 - 2\log_b z\\\\=\log_b x + 2 \log_b y - 2 \log_b z\\\\=2+2 \cdot5 - 2 \cdot 4\\\\=2+10-8\\\\=10-6\\\\=4[/tex]
Find the measure of x.
Hint: Use the Pythagorean Theorem. If the diameter is 32, then the radius is half of it.
Answer:
18.36 to nearest hundredth.
Step-by-step explanation:
base of the triangle = 1/3 * 32 = 16.
x^2 = 9^2 + 16^2
x^2 = 81 + 256 = 337
x = √337 = 18.36.
At 3 pm, the outside temperature was -2°F. The temperature then fell steadily by 2*Fevery hour for the next four hours. What was the temperature at 7 pm?
Answer:
-10*F at 7pm
Step-by-step explanation:
Ali has $550 in his bank, he owes $145 to his sister, $225 to his brother, and $90 to his friend. How much money does he have to save if he needs a bike worht $600 (USE INTEGERS)
Answer: He needs to save $510
Step-by-step explanation: money owed 145+225 +90= 460
Has 550 in the bank, deduct money owed 550-460 =$90
He needs a bike of $600 and has only $90
Please help I give brainiest
Answer:
x = 23 y =67
Step-by-step explanation:
Since a rectangle is made up of 4 right angles you can solve y with the following equation:[tex]23 + y =90[/tex]
Then to solve for x, since x, y and the right angle makes up a triangle and a triangle has 180 degrees. You can use the following equation to solve for x:
[tex]x + 67 + 90 = 180[/tex]
identify the figure with the vertices A (3,5) B (3,1) C (0,1)
Answer:
It makes a right traiangle.
Step-by-step explanation:
Graph the points and you will see that it makes a right triangle.
The figure formed by the vertices A(3,5), B(3,1), and C(0,1) is a right-angled triangle.
In this triangle, side BC is the shortest side with a length of 3 units, side AB is the longest side with a length of 4 units, and side AC has a length of 5 units.
The right angle is formed between side BC and side AC at point C (0,1).
Here, we have to identify the figure with the given vertices A (3,5), B (3,1), and C (0,1), we can plot these points on a coordinate plane.
Let's plot the points A(3,5), B(3,1), and C(0,1) on a Cartesian coordinate plane.
A(3,5): This point is located at x-coordinate 3 and y-coordinate 5.
B(3,1): This point is located at x-coordinate 3 and y-coordinate 1.
C(0,1): This point is located at x-coordinate 0 and y-coordinate 1.
Since point A and point B share the same x-coordinate (x = 3), they lie on a vertical line. Point C has a different x-coordinate, so we need to connect it with the others to complete the figure.
The figure formed by connecting the points A, B, and C is a right-angled triangle.
To calculate the distances between the vertices, we'll use the distance formula:
Distance between two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given by:
Distance = √[tex]((x_2 - x_1)^2 + (y_2 - y_1)^2)[/tex]
Let's calculate the distances:
Distance between A(3,5) and B(3,1):
Distance_AB = √[tex]((3 - 3)^2 + (1 - 5)^2)[/tex]
Distance_AB = √(0 + 16)
Distance_AB = √16
Distance_AB = 4 units
Distance between A(3,5) and C(0,1):
Distance_AC = √[tex]((0 - 3)^2 + (1 - 5)^2)[/tex]
Distance_AC = √[tex]((-3)^2 + (-4)^2)[/tex]
Distance_AC = √(9 + 16)
Distance_AC = √25
Distance_AC = 5 units
Distance between B(3,1) and C(0,1):
Distance_BC = √[tex]((0 - 3)^2 + (1 - 1)^2)[/tex]
Distance_BC = √[tex]((-3)^2 + 0^2)[/tex]
Distance_BC = √9
Distance_BC = 3 units
As we calculated, the distances between the vertices of the figure are:
AB = 4 units
AC = 5 units
BC = 3 units
Based on the distances, we can determine that the figure formed by the vertices A(3,5), B(3,1), and C(0,1) is a right-angled triangle.
In this triangle, side BC is the shortest side with a length of 3 units, side AB is the longest side with a length of 4 units, and side AC has a length of 5 units.
The right angle is formed between side BC and side AC at point C (0,1).
To learn more on triangle click:
brainly.com/question/29126067
#SPJ3
The angles shown are supplementary What is
the value of x One angle is 3x and the other is 96
Answer:
x = 28
Step-by-step explanation:
Supplementary angles mean that both angles are equal to 180. So, the equation becomes 3x + 96 = 180. Solving for x, we get 28.
Answer:
The value of x is 28
Step-by-step explanation:
Given :
Angles are supplementary One angle = 3xOther angle = 96Now,
Supplementary angles are a pair of angles that make sum of 180° .
Therefore, The sum of given angles will be equal to 180°.
i.e. one angle + other angle = 180°
Substituting the values of angles , we get..
[tex]⇢3x + 96 = 180[/tex]
[tex]⇢3x = 180 - 96[/tex]
[tex]⇢3x = 84[/tex]
[tex]⇢x = \frac{84}{3} [/tex]
[tex]⇢ \boxed{x = 28}[/tex]Joanne is making punch. She uses 1/2 gallon of orange juice, 3 quarts of lemonade, and 1 1/4 gallons of apple cider. How many quarts of punch will she have all together?
Answer:
10 Quarts
Step-by-step explanation:
First, convert 1/2 gallons into quarts. 1/2x4=2. Then convert 1 1/4 to quarts. 1 1/4x4=5. Finally, add it all togher. 2+5+3=10. So, the answer is 10 quarts.
what are the domain and range?
Answer:
domain x [0,4] range y [0,64]
Step-by-step explanation:
Find the area of the region bounded by the functions f(x) = x4 and g(x) = 2 − x2
a. 44/15
b. 22/15
c. 88/15
d. none of these
Been stuck on this one for a while...
Please help I will give you Brainly
Which expression Is equlvalent tc the given
12-9v4
6r3y2
2x3v2
-642
-3,2
•
21642
Answer:
[tex]2x^{6}y^{2} }[/tex]
Step-by-step explanation:
Just Simplifying the Fraction.
we get,
[tex]=\frac{12x^{9} y^{4} }{6x^{3}y^{2} } \\\\=2x^{9-3} y^{4-2} \\=2x^{6} y^{2}[/tex]
NEED HELP ASAP!! NEED BOTH DONE BY 9:25 PLEASE HELLPPPPPP!!! GIVING BRAINLIEST TO BEST ANSWERS!
1. Solve two and one third times four fifths.
1 four sixths
2 twenty eight fifteenths
3 twenty seven fifteenths
4 twenty eight sixths
2.Solve two and one third times two and three fourths.
1 four and three twelfths
2 six and five twelfths
3 seven and five twelfths
4 eight and three twelfths
Answer:
Question1:
2 twenty eight fifteenths
Question2:
3 seven and five twelfths
Step-by-step explanation:
1st question solution
[tex]\dashrightarrow \sf 2\dfrac{1}{3} *\dfrac{4}{5}[/tex]
[tex]\dashrightarrow \sf \dfrac{7}{3} *\dfrac{4}{5}[/tex]
[tex]\dashrightarrow \sf \dfrac{28}{15}[/tex]
2nd question answer
[tex]\dashrightarrow \sf 2\dfrac{1}{3} *2\dfrac{3}{4}[/tex]
[tex]\dashrightarrow \sf \dfrac{7}{3} *\dfrac{11}{4}[/tex]
[tex]\dashrightarrow \sf \dfrac{77}{12}[/tex]
[tex]\dashrightarrow \sf 6\dfrac{5}{12}[/tex]
Have you ever uploaded a photo you took to a social media site? If so, there is a good chance that because you agreed to the social media company’s terms of service, the company can use your photo for promotional reasons. Do you think it is okay that social media companies make users agree to let them use users’ photos? Why or why not?
Compare what you think about social media companies using users’ photos to people claiming photos they found online as their own. Is one practice worse than the other? Why or why not?
Write one to two sentences explaining what you think about social media companies requiring users to agree to the company using their images for promotional purposes. Provide at least one reason that supports your idea.
Write two to three sentences comparing people claiming photos they found online as their own to social media companies using user images. Provide at least one reason that supports your idea.
Answer:
I think it would be fine if they notified you but only if they used me for a good reason.
On the other hand...
no matter if it's on the agreement if it is inappropriate on your part it is illegal and you can complain.
-5x2-7x2
the twos are the squared.
Answer:
-12x²
Step-by-step explanation:
Given expression:
[tex]-5x^{2} -7x^{2}[/tex]
Since both terms in the expression have common terms, we can subtract the terms by combining like terms.
[tex]\implies x^{2} (-5 -7)[/tex]
[tex]\implies x^{2} (-12)[/tex]
[tex]\implies -12x^{2}[/tex]
Is (3,-3) a solution of the graphed system of inequalities?
Choose 1 answer:
(A) Yes
(B) No
Answer:
(B) No
Step-by-step explanation:
If I remember correctly a solution is a point that is on the shaded area or on a solid line, the point 3,-3 is not on the shaded region and not on a solid line. Even if it was on the line in this problem it wouldn't be a solution because it is a dotted line. Hope this helps!
Which are the foci of the hyperbola represented by 5x2 – 4y2 + 80 = 0?
Step-by-step explanation:
[tex]5 {x}^{2} - 4 {y}^{2} + 80 = 0[/tex]
[tex]5 {x}^{2} - 4 {y}^{2} = - 80[/tex]
[tex] - \frac{ 5{x}^{2} }{16} + \frac{ {y}^{2} }{20} = 1[/tex]
[tex] \frac{ {y}^{2} }{20} - \frac{5 {x}^{2} }{16} = 1[/tex]
To find foci,
[tex]c = \sqrt{ {a}^{2} + b {}^{2} } [/tex]
so
[tex]c = \sqrt{20 + 16} [/tex]
[tex]c = \sqrt{36} [/tex]
[tex]c = ±6[/tex]
Since the y term has a greater denomiator, our foci is
(0,6) and (0,-6)
Which of these numbers is a
perfect square?
How do you know?
a) 10
b) 50
c) 81
d) 20
Answer:
C. 81 because 9 going to make 81 an perfect square.
If k(x) = 5x - 6, which expression is equivalent to (k + k)(4)?
Answer:
Answer:
Expression equivalent to (k + k)(4) is 28.
Step-by-step explanation:
Given:
k(x) = 5x - 6
We need to find an expression equivalent to (k + k)(4)
First, we find,
(k + k)(x) = k(x) + k(x)
= ( 5x - 6 ) + ( 5x - 6 )
= 5x - 6 + 5x - 6
= 5x + 5x - 6 - 6
= 10x - 12
Now, (k + k)(4) = 10(4) - 12 = 40 - 12 = 28
Therefore, the Expression equivalent to (k + k)(4) is 28.
A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6.
Which statements are always true regarding the diagram? Select three options.
m∠5 + m∠3 = m∠4
m∠3 + m∠4 + m∠5 = 180°
m∠5 + m∠6 =180°
m∠2 + m∠3 = m∠6
m∠2 + m∠3 + m∠5 = 180°
Answer: Options 3, 4, 5
Step-by-step explanation:
Here are the numbers of times 9 people ate out last month. 3,3,4 ,4 ,3 ,7,6 ,7,7 Find the modes of this data set. If there is more than one mode, write them separated by commas. If there is no mode, click on "No mode."
Answer:
3, 7
Step-by-step explanation:
3, 3, 3, 4, 4, 6, 7, 7, 7
3 and 7
Can someone help me?
Just #1 please
Answer:
x=15
Step-by-step explanation:
A line is 180 degrees
We know that 8x+19=139
8x+19=139
subtract 19 from both sides to isolate x
8x=120
divide both sides by 8
8x/8=120/8
x=15
Find the angle of cd round to the nearest tenth
Find the zeros of the function y = -4x^2 + 16
[tex]-4x^2+16 & =0\\\\\implies -4(x^2-4) & =0 \\\\\implies x^2-4 =0\\ \\\implies x^2-2^2 =0\\\\\implies (x+2)(x-2)=0\\\\\implies x=2,~~x = -2[/tex]
Is -14 greater than 9
Answer:
No, -14 is not greater than 9
Step-by-step explanation:
because -14 is a negative interger making the postive a higher/greater number
which equation represents the line through (0, 0) and (2,5)
Answer:
[tex]y=\frac{5}{2}x[/tex]
Step-by-step explanation:
First of all, we need to find the gradientWe can do this with [tex]\frac{\triangle y}{\triangle x}[/tex] ([tex]\frac{change\ in\ y}{change\ in\ x}[/tex])[tex]\frac{5-0}{2-0}[/tex][tex]\frac{5}{2}[/tex][tex]y=\frac{5}{2}x+c[/tex]Choose one of the coordinates to find cI choose (2, 5)[tex]5=\frac{5}{2}\times 2 + c[/tex][tex]5=5+c[/tex][tex]c=0[/tex]The equation is [tex]y=\frac{5}{2}x[/tex]Leon has a bag of 4 red balls, 3 green balls and 6 yellow balls. He takes a ball out and replaces it 50 times. Out of those 50 trails he pulls out a green ball 12 times. What is the experimental probability of getting a green ball on his next trial?
What is the solution to the system of equations shown below?
6x – 3y = -9
3(2x - y) = 9
А
(-1, 1)
B
(1, -1)
с
no solution
D
infinitely many solutions
how do i round 0.942 to the nearest tenth!!
Answer: 0.9
Step-by-step explanation: All you need to just keep your decimal (0.9) as it is since 4 and 2 are below 5 then you don't need to round it higher. I hope this helped!
0.942
to find:the nearest tenth of 0.942
solution:to round to the nearest tenth, if the number in hundredths place is 5 or more you'll have to round up, if not keep it as it is and remove all the digits in the right side.
=0.9
hence, the nearest tenth of 0.942 is 0.9
the pre image of a line has the equation y=-7x. this line is translated -5 units along the x-axis and the 8 units along the y-axis. which is the equation of the image of this line?
ill mark you brainliest if youre right
Answer:
(b) y = -7x -27
Step-by-step explanation:
When x and y in the equation y = f(x) are replaced by (x-h) and (y-k), the function graph is translated h units right and k units up. The translated function can be written as ...
y -k = f(x -h)
y = f(x -h) +k . . . . . . add k
__
Your function is ...
y = -7x
and you want to translate it by (h, k) = (-5, 8). That makes it ...
y' = -7(x -(-5)) +8 = -7x -35 +8
y' = -7x -27
Ashlynn runs 3 miles each morning. How far does Ashlynn run in feet?
Answer: 15840
Step-by-step explanation: multiply the length value by 5280
Answer:
15840 feet
Step-by-step explanation:
5280 (feet per mile) times 3 (the amount of miles Ashlynn runs every morning) is 15840
A golf ball is hit so that it travels a horizontal distance of 400 feet and reaches a
maximum height of 190 feet.
Determine a quadratic equation that models the path of the golf ball, assuming it starts at the origin.
Considering the vertex, the quadratic equation that models the path of the golf ball is given by:
y = -0.0011875(x - 400)² + 190
What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
In this problem, the vertex is at the maximum height of the parabola, given by (400, 190), hence h = 400, k = 190, and:
y = a(x - 400)² + 190
It starts at the origin, that is, when x = 0, y = 0, hence:
0 = 400²a + 190
a = -190/400²
a = -0.0011875.
Hence, the equation is:
y = -0.0011875(x - 400)² + 190
More can be learned about quadratic equations at https://brainly.com/question/24737967