what is the solution to the exponential equation 8x = 1/4
Divide each term in
8x=1/4 by 8 and simplify.
Exact Form: x=1/32
Decimal Form: x=0.03125
[tex]~~~8^x = \dfrac 14\\\\\implies 2^{3x} = 2^{-2}\\\\\implies 3x = -2 \\\\\implies x = -\dfrac 23[/tex]
HELPPPP HEL-P MEE ME
Answer:
208
Step-by-step explanation:
the formula is:
2*(width*lenght+height*lenght+height*width)
2*(6*8+4*8+4*6)
208
Answer:
208 m²[tex] \: [/tex]
Step-by-step explanation:
In the given figure, it is given a net of cuboid where, the length is 8m, the breadth is 6m and the height is 4m and we have to find the surface area of the cuboid.
So, the formula for finding the surface area is ;
[tex]\\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \: Surface\: area_{(cuboid)}=2(lb + bh + lh )}}}}}} \: \: \bigstar \\ \\[/tex]
Now, we'll substitute the values in the formula :
[tex]\\{ \longrightarrow \qquad{ {{ \sf{ { \: Surface\: area_{(cuboid)}=2(8.6 + 6.4 + 8.4 }}}}}}) \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ {{ \sf{ { \: Surface\: area_{(cuboid)}=2(48 + 24 + 32 }}}}}}) \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ {{ \sf{ { \: Surface\: area_{(cuboid)}=2(104 }}}}}}) \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ { \pmb{ \frak{ { \: Surface\: area_{(cuboid)}=208 }}}}}}\: \: \\ \\[/tex]
Therefore,
The surface area of the cuboid is 208m²Can someone help me with this problem
d(4.4)
hope it really helps ...!!!
A company is promoting two employees to the director and manger roles. If there are currently 35 employees, how many ways can those positions be filled?
1785
1190
595
270
Answer:
595
Step-by-step explanation:
2 positions for 35 employees.
[tex]C(n) = (\frac{n}{k}) = \frac{n!}{(k!(n-k)!)}[/tex]
Where n = 35, total number of employees and k = 2, how many spots available
[tex]\frac{35}{2} = \frac{35!}{2!(n-k)!} = \frac{35*34}{2 * 1} = 595[/tex]
Answer:
595
Step-by-step explanation:
Write an example problem(s) for area.
Answer:
Example 1.
A square with side lengths of 5.
5*5 = 25.
So the area would be 25 units ^2
Example 2.
A rectangle with a length of 9 and a width of 4
9*4 = 36
So the area is 36 units ^2
Answer:
A square with side lengths of 5.5*5 = 25.
Step-by-step explanation:
Half of the product of two consecutive numbers is 105. which equation can be used to solve for n, the smaller of the two numbers? n2 n – 210 = 0 n2 n – 105 = 0 2n2 2n 210 = 0 2n2 2n 105 = 0
The equation that can be used to solve for n, the smaller of the two numbers would be n² + n - 210 = 0.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
If we use n to be the smaller number of two integer numbers, then the next consecutive number is n + 1.
The product of those two numbers would become n × (n + 1) = n (n + 1).
Half of that product is n (n + 1) / 2.
And the question states that the equation is equal to 105, so the equation becomes,
n (n + 1) / 2 = 105
Now we have to simplify that equation until we get an expression equal to one of the choices,
Multiply both sides by 2
n (n + 1) = 210
n² + n = 210
Subtract 210 from both sides
n² + n - 210 = 0
Thus, the equation formed is the quadratic equation.
Learn more about quadratic equations;
brainly.com/question/13197897
Answer:
n² + n - 210 = 0 is your answer! hope it helps!
Step-by-step explanation:
Someone solve number 8 pleaseeeee
Answer:
2 cats
Step-by-step explanation:
12% of 24 = 2.88
Answer:
2 cats were adopted.
Step-by-step explanation:
When finding a percentage of something, heres a trick. Just take the number you taking the perccentage of, and mutiply it by the percentage. In this case, 24*12.
24*12 = 288.
Now take that new number and divide it by 100. Now you have your answer. In this case,
288/100 = 2.88.
Becuase these are cats, we can't have or adopt half of one XD. You can't adopt half of a cat, so we round it down to 2. Meaning, 2 cats were adopted.
can you answer it pls and by the way i am in 5th grade
Step-by-step explanation:
3×3 = 9, so it's greater than 3
3×4/3 = 4, so it's greater than 3
3×5/5 = 3, so it's equal to 3
3x4/9 = 4/3, so it's less than 3
3x5/6 = 5/2, so it's less than 3
An urn of boiling water in an office has a capacity of 20litres. If it filled to maximum capacity, calculate the number of 250ml cups that can be shared from it.
What is the vertex of g(x) = 3x2 − 12x 7? (−6, −5) (−2, −5) (2, −5) (6, −5)
The vertex of g(x) = [tex]\rm 3x^2 - 12x + 7[/tex] is (2, -5), the correct option is C.
What is the vertex of the parabola?The vertex of a parabola is the highest or lowest point, also known as the maximum or minimum of a parabola.
The standard equation of the vertex of the parabola is;
[tex]\rm a(x - h)^2 + k[/tex]
Where h and k are the coordinates of the vertex of the parabola.
The given expression is;
[tex]\rm =3x^2 - 12x + 7\\\\= 3(x^2 - 4x) + 7\\\\ = 3[ (x - 2)^2 - 4)] + 7\\\\= 3(x - 2)^2 - 12 + 7\\\\= 3(x - 2)^2 - 5[/tex]
On comparing with the standard form of vertex of the parabola
h = 2 and k = -5
Hence, the vertex of g(x) = [tex]\rm 3x^2 - 12x + 7[/tex] is (2, -5).
To know more about parabola click the link given below.
https://brainly.com/question/20333425
A rubber bouncy ball is dropped from a height
of 177.00 cm onto a hard flat floor. After each
bounce, the ball returns to a height that is 19%
less than the previous maximum height. What
is the maximum height reached after the 9th
bounce?
Answer:
0.0000571
Step-by-step explanation:
Height after 9th bounce = Initial height * (19/100)^9
= 177*(0.19)^9
= 0.00005711572
Please help
I need the lateral surface area
Answer:
[tex]la = 588 \: \: {cm}^{2} [/tex]
Step-by-step explanation:
Lateral area for trapezoidal prism:
- Is the sum of all the areas excluding the base area.
la - Lateral area
[tex]a = 20\\ b = 10 \\ c = 10 \\ d = 9 \\ l = 12[/tex]
[tex]la = al + \: bl + \: cl + \: dl[/tex]
[tex]la = l(a + \: b + \: c + \: d)[/tex]
[tex]la = 12(20 + 10 + 10 + 9)[/tex]
[tex]la = 588 \: \: {cm}^{2} [/tex]
help please im in class rn
Answer:
https://brainly.com/question/27407610
Step-by-step explanation:
What is 11 in x 17 in (7.7 in x 23) in
33117.7 in is the answer I believe…
Answer:
33117.7
Step-by-step explanation:
33117.7 is the perfect answer
Express cos S as a fraction in simplest terms.
Answer:
cos S = 7/25
Step-by-step explanation:
cosine is the ratio of the side adjacent to angle S and the hypotenuse.
use the pythagorean Theorem to or a Pythagorean triple to find the third side of the triangle It is a 7-24-25 triple or
b²=c²-a²
b=√c²-a²
b=√625-196
b=√49=7
cos S = 7/25
find the height of the equilateral triangle
Answer:
height of the equilateral triangle is 5cm
by the use of Pythagoras
Step-by-step explanation:
H^2 = A^2 + O^2devide the base of the triangle i.e 3 as A and 6 as HO is Same as height hby substitution6^2 = 3^2 + O^236 = 9 + O^2O^2 = 36-9O = √27O or h = 5.19Quadratic Functions - Part 2
Graphing Quadratic Functions Using Vertex Form - Part 1
Independence Practice
1. Identify the vertex, complete the table and graph g(x) = (x – 4)^2 – 5.
2. Identify the vertex, complete the table and graph h(x) = (x + 1)^2 + 4.
Answer:
h(x) = (x + 1)^2 + 4/ 23+40 =49
Step-by-step explanation:
The step by step is on papamath.com
The community center organizers want to buy 600 hot dogs. What will the cost be if they purchased the packages with the best buy? The best buy is 50 for 12 dollars
Answer:
144
Step-by-step explanation:
do 5 into 600 and u get 12 have a good day!!!
Answer:
$144
Step-by-step explanation:
first, we need to divide 600 by 50, to get them organized for the best packages. 600/50 = 12.
then, we multiply that (the 12) by the cost ($12/ea) so 12*12 which is $144 if they use the bundling.
40x40x40 divided by 6 Help me pls
Answer:
the answer is 10666.6666667.
Step-by-step explanation:
40*40*40=64000
64000/ 6=10666.6666667
Real world problem for quadratic using square root property?
please help
Answer:
Example:
Sri Rangaman's flower garden is now a square. If she enlarges it by increasing the width 1 meter and the length 3 meters, the area will be 19 square meters more than the present area. What is the length of a side now?
Another Example how to solve it:
1. Solve the quadraticsa) (2x + 5)2 = 10b) x2 - 2x + 1 = 52. Given the formula HF = -16t2 + HI. How long does it take a ball to fall from a roof to the ground 25 feet below1. Solve the quadraticsa) (2x + 5)2 = 10b) x2 - 2x + 1 = 52. Given the formula HF = -16t2 + HI. How long does it take a ball to fall from a roof to the ground 25 feet below
How to use the square root function in word problems?Examples: 1. The floor of a square room is covered with square-foot floor tiles. If 81 tiles cover the floor, how long is each side of the room?2. Mr. Dase found a square digital image of a famous painting on a Web site. The image contained 490,000 pixels. How many pixels high is the image?
please help im so confused (need asap)
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve ~
[tex]\qquad \tt \dashrightarrow \:10 {x}^{2} - 25x + 15 = 0[/tex]
[tex]\qquad \tt \dashrightarrow \:5(2x {}^{2} - 5x + 3) = 0[/tex]
[tex]\qquad \tt \dashrightarrow \:2x {}^{2} - 5x + 3 = 0[/tex]
[tex]\qquad \tt \dashrightarrow \:2x {}^{2} - 3x - 2x + 3 = 0[/tex]
[tex]\qquad \tt \dashrightarrow \:x(2x - 3) - 1(2x - 3) = 0[/tex]
[tex]\qquad \tt \dashrightarrow \:(x - 1)(2x - 3) = 0[/tex]
Therefore, the required factors are ~ (x - 1) and (2x - 3)
So, correct choice is B
a. 30
b. 86
c. 32
d. 79
Answer:
30°
Step-by-step explanation:
<KOL = <JOL - <JOK
= 58° - 28°
= 30°
I NEED THIS ASAP
five doctors are selected at random from a hospital employing 27 doctors to fill out a question
*WILL GIVE BRAINLIEST
Answer:
See below
Step-by-step explanation:
There are 27 C 5 ways to choose 5 doctors from 27
= 27 ! /(22! 5!) = 80730 ways to choose 5
This is a COMBINATION.
Answer: Combination
Step-by-step explanation: It has no order of selection. It is random and can't be paired like permutation.
Compare with another response
Felipe received a $15.25 gift card for a photo center. He used it to buy prints that cost 6 cents each. The remaining balance, B (in dollars), on the card after
buying x prints is given by the following
B = 15.25 -0.06x
What is the remaining balance on the card if Felipe bought 50 prints?
Can anyone help me ?
Answer:
12.25
Step-by-step explanation:
B = 15.25 -0.06x
B = 15.25 -0.06(50)
B = 12.25
.............................................
Answer:
90 degrees
Step-by-step explanation:
it is a right angle
The is a picture show all details and work
(triangles)
Answer:
x: 8.75
y: 8.5
Step-by-step explanation:
Since the two triangles are similar, you can find the scale of LJK relevant to TRS by dividing 7/4 = 1.75
This means each side of LJK is 1.75 times greater than the respective side of TRS
Now you can plug this in to the other two sides by doing 5*1.75=8.75 and 6*1.75=10.5
This solves x, but since side LK is y+2, y is 10.5-2=8.5
x=8.75
y=8.5
At approximately what time on the next day does the depth first reach 4 meters? 3:00 am 4:00 am 5:00 pm 10:00 am
Answer:
the answer is B, 4:00 am
Step-by-step explanation:
Answer:
At approximately what time on the next day does the depth first reach 4 meters?
3:00 am
4:00 am
5:00 pm
10:00 am
The correct answer is B. 4:00 am
7 The scouts are collecting canned food to donate to the food bank. Their goal is to
collect 550 cans of food. By the end of the first hour, they had collected 13 bags with
16 cans of food in each bag. By the end of the second hour, they had collected 12
more bags with 15 cans of food in each bag. How many more cans of food do they
need to collect to meet their goal of 550? Show all your work.
The scouts need to collect
more cans of food to meet their goal of 550.
Answer:
162 Cans more to reach goal of 550 cans.
Step-by-step explanation:
See attached image for the calculations
par
-
129
2 A stew recipe calls for 3.75 pounds of meat. Jack wants to make 5 batches of stew.
How many pounds of meat does he need? Show your work.
Answer:
18.75 pounds
Step-by-step explanation:
3.75 pounds per 5 batches
batch 1 : 3.75 7.5
add them + + 7.5
batch 2: 3.75 = 15
= +3.75
7.5 = 18.75
hope this helped
batch 3: 3.75
add them +
batch 4 3.75
= 7.5
batch 5 3.75
 GIVING BRAINLIEST TO THE PERSON THAT CAN EXPLAIN THIS THE BEST (:
Answer:
the given picture is not clear