Answer:
a) log 2 (48 ×3 ×9 )
log 2 1296
10.3
b) log 4 24 - log 4 3/4 log 4 2
log 4 36
2.58
Please help me multiply this
Answer:
(x-4y)(x-3y) ÷(x+8y)(x-8y)×(x+8y)÷3(x-3y)
=3(x-4y)÷(x-8y)
There is currently a linear bike path that goes through the points (4, 0) and (7, 4). The park commission is planning to build a new bike path that is parallel to the old one that passes through the point (2, 5).
Answer:
y = 3/4x +7/2
Step-by-step explanation:
slope of line = difference of 2nd x value - 1st x value/ 2nd y value - 1st y value
x difference /y difference = 3/4 = slope
y = 3/4x
to find y-intercept, add a variable
y = 3/4x + B
then add the first x and y value point numbers into equation
0 = 3/4(4) + B
-3 = B
put back B into equation.
y = 3/4x - 3 which is the linear path the biker is going
now you can use another variable to find the new bike path
y = 3/4x + A
plug in the x value 2 and y value 5 from (2,5)
5 = 3/2 + A
A = 7/2
there-fore the new line which is parallel to the old line is:
y = 3/4x +7/2
The fitness center held a weight loss competition in which 128 people participated. The amount of weight loss was normally distributed with a mean of 18 pounds and a standard deviation of 5.4 pounds. Approximately how many people lost at least 15 pounds?
Answer:
37
Step-by-step explanation:
Given :
Sample size, n = 128
Mean, μ = 18
Standard deviation, σ = 5.4
Number of people who lost atleast 15 pounds :
The Zscore = (x - μ) / (σ)
Zscore = (15 - 18) / 5.4
Zscore = - 3 / 5.4
Zscore = - 0.5555
P(Z < - 0.555) = 0.28945
Number of people who lost atleast 15 pounds :
0.28945 * 128 = 37.0496
= 37 people
Which division is shown by the model?
Step-by-step explanation:
where the model step by step explanation
Which is a pair of vertical angles?
∠VRU and ∠SRT
∠TRS and ∠VRW
∠TRV and ∠WRU
∠WRV and ∠SRW
Answer: ∠TRS and ∠VRW (Choice B)
========================================================
Explanation:
Ignore ray RU. I would redraw the entire thing without ray RU as part of the picture. See below.
Notice how lines TW and SV intersect to form an X shape.
The angles TRS and VRW shown in red are opposite one another, so we consider them to be vertical angles. Vertical angles are always congruent.
Answer:
B ∠TRS and ∠VRW
Step-by-step explanation:
find the missing length indicated.
Answer:
Step-by-step explanation:
x is the geometric mean because it is a part of both the small triangle on the left (with base 81) and the whole triangle (with base 225). Setting up the geometric means formula:
[tex]\frac{81}{x}=\frac{x}{225}[/tex] and cross multiply to get
[tex]x^2 =18225[/tex] so
x = [tex]\sqrt{18225}[/tex] and
x = 135
Find y.
PLEASE HELP ASAPPPP
Answer:
y = 4
Step-by-step explanation:
[tex]\frac{sin(90)}{4\sqrt{2} } = \frac{sin(45)}{y}[/tex]
Answer:
y = 4
Step-by-step explanation:
Using the cosine ratio in the right triangle and the exact value
cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{y}{4\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
y × [tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )
y = 4
A high school coach wants to buy new athletic shorts for the 15 members of the basketball team. The coach must spend less than $200 on the shorts. Which inequality represents the maximum cost of each pair, s, the coach can buy?
Answer:
A. 15s < 200
Step-by-step explanation:
Which inequality represents how many pairs of shorts, s, the coach can buy?
A. 15s < 200
B.15s > 200
C. 15s <(with line under)200
D 15s >(with line under)200
Let
s = cost of eat short
Number of students (Short) = 15
Less than (<)
The inequality:
Number of short * cost of each short < $200
15 * s < 200
15s < 200
s < 200/15
s < $13.333333333333
Answer:A. 15s < 200
Step-by-step explanation:A. 15s < 200
Can someone help me with this math homework please!
Answer:
- 2 / 7
Step-by-step explanation:
Let,
x1 = 7
x2 = 14
y1 = 2
y2 = 0
Formula : -
Slope = ( y2 - y1 ) / ( x2 - x1 )
Slope
= ( 0 - 2 ) / ( 14 - 7 )
= - 2 / 7
[tex]slope \\ = \frac{Δy}{Δx} \\ = \frac{(4 - 2)}{(0 - 7)} \\ = \frac{2}{ - 7} \\ \\ so \: the \: slope \: is \: \frac{2}{ - 7}.[/tex]
This is the answer.
Hope it helps!!
The number of days (d) is equal
to the dividing of the number of hours (h) and 24.
A. d = h - 24
B. h = 24 d
C. h = 24-h
D. h = 24 + h
Answer:
B
Step-by-step explanation:
[tex]d \: = \frac{h}{24} [/tex]
[tex]h \: = 24d[/tex]
Se preguntó a 44 estudiantes por el tiempo, medido en minutos, que tardan en
llegar a su sitio de estudio. Las respuestas obtenidas fueron: 15,20,17,24,45,40,35,39,46,44,50,47,42,40,38,30,35,45,35,45,35,37,47,48,58,55,38,37,40,43,40,39,45,48,50,35,20,57,55,56,47,43,37,34,50,60
a) Clasifique la variable y construya la
TDF correspondiente al histograma.
b) Realice 4 interpretaciones de los
datos condensados en la TDF del punto a).
c) Realice el histograma, el polígono de
frecuencias y la ojiva de esta variable.
Answer:
sdfghjkl
Step-by-step explanation:
Please help me solve this question
Answer:
A = 16 units²
Step-by-step explanation:
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
The right triangle on the left is a 3- 4- 5 ( Pythagorean triple )
Then b = 4 and h = 4 , so
A = 4 × 4 = 16 units²
The ratio of parents, students and teachers is
21:3:6.
What proportion of the total is parents?
GIVE ANSWER IN PERCENTAGE.
Answer:
Answer
Step-by-step explanation:
21+3+6
= 30
Ratio of parents = 21
10% of 30 = 30/10
= 3
21 is __% of 30
= 21/30 * 100
= 0.7 * 100
= 70%
In a 100 metre race, the time of the winner was 10. 57 seconds and the time of the athel athlete who came third was 10. 64 seconds Write down a possible time for the athlete who came Second
Answer:
10.61
Step-by-step explanation:
What is the circumference os the circle shown below? (Round your answer to the nearest tenth.)
Answer:
Option C(66.0)
Step-by-step explanation:
C = 2πr
C=Circumference
π=3.14(pi)
r=radius
C=2x3.14x10.5
3.14x10.5=32.97
32.97x2=65.94
65.94 rounded to nearest tenth is 65.9, so basically 66.0.
the sum of two positive consecutive integers is x. in terms of x, what is the value of the smaller of these two integers?
Answer:
In terms of x, the smaller integer is (x - 1)/2
Step-by-step explanation:
Two consecutive positive integers can be written as:
n and (n + 1)
Where n is an integer and:
n > 0.
notice that the smaller of the two integers is n.
We know that the sum of these two integers is equal to x, then:
n + (n + 1) = x
we can rewrite this as:
2n + 1 = x
solving this for n (the smaller of the two integers) we get:
2n = x - 1
n = (x - 1)/2
In terms of x, the smaller integer is (x - 1)/2
When the length of each side of a square is increased by 5 cm, its area is increased by 895 cm2. Find the length of a side before the increase.
The length of a side before the increase is...
Answer:
Step-by-step explanation:
Increasing the side length by 5 is represented as s + 5. To get the area of a square we multiply side times side: [tex](s+5)^2=s^2+10s+25[/tex]
The area of a square is s². If we are increasing this area s² by 895, then to represent this we have s² + 895.
Put that together into an equation:
[tex]s^2+10s+25=s^2+895[/tex] and simplify to
10s = 870 so
s = 87
Let's check that. The area before the addition to the side is 87*87 = 7569; the area after the addition of 5 cm is 92*92 = 8464. The difference is
8464 - 7569 = 895 so we did good!
What is the solution to the linear equation?
d – 10 – 2d + 7 = 8 + d – 10 – 3d
(need answer asap)
Answer:
-10 -2d+7=8-10-3d
-2d + 7 =8 -3d
-2d + 7 =3d = 8
-2d + 3d = 8-7
d=8-7
d=1
Answer:
[tex]d = 1[/tex]
Step-by-step explanation:
Step 1: Combine like terms
[tex]d - 10 - 2d + 7 = 8 + d - 10 - 3d[/tex]
[tex](d - 2d) + (-10 + 7) = (8 - 10) + (d - 3d)[/tex]
[tex](-d) + (-3) = (-2) + (-2d)[/tex]
Step 2: Add 2d to both sides
[tex]-d + 2d - 3 = -2 - 2d + 2d[/tex]
[tex]d - 3 = -2[/tex]
Step 3: Add 3 to both sides
[tex]d - 3 + 3 = -2 + 3[/tex]
[tex]d = 1[/tex]
Answer: [tex]d = 1[/tex]
Manuel y Sara recorren cierta distancia, y los tiempos que emplean están en la razón 21 / 15 . La velocidad de Manuel es de 56km/h. ¿Cuál es la velocidad de Sara?
Answer:
The speed of Sara is 78.4 km/h.
Step- by-step explanation:
Manuel and Sara travel a certain distance, and the times they use are in the ratio 21/15. Manuel's speed is 56km / h. What is Sara's speed?
Let the distance is d.
speed of Manuel = 56 km/h
time taken by Manuel = 21 t
time taken by Sara = 15 t
Let the speed of Sara is v.
Distance = speed x time
For Manuel:
d = 56 x 21 t ..... (1)
For Sara:
d = v x 15 t ..... (2)
From (1) and (2)
56 x 21 t = v x 15 t
v = 78.4 km/h
find the sum or difference of the polynomials. Write your answer in descending
order.(-3x2 + 2x + 1) + (-8x2 + 3x + 2)
i think by x2 you meant x²
(-3x² + 2x + 1) + (-8x² + 3x + 2)
-11x² + 5x + 3
what are the points for the equation y +2 = - 3/4 (x+4)
Answer:A(1,-5)
B(6,-8)
Step-by-step explanation:
What is the simplified form of the following expression?
5 58-18-2-82
02.12
o 5.82
o 9.2
O 152
Answer:
[tex]5 \sqrt{2} [/tex]
please help what is the answer?
Answer:
12
Step-by-step explanation:
The altitude divides the hypotenuse into parts using this proportion
6/n = n / 18 Cross multiply
n^2 = 6 * 18
n^2 = 108
n = sqrt(108)
n = sqrt(4 * 9 * 3)
n = 2*3 *sqrt(3)
n = 6*sqrt(3)
Now use Pythagoras to get m. m is the hypotenuse of the small triangle on the left
m^2 = n^2 + 6^2
m^2 = 6^2 *sqrt(3)^2 + 36
m^2 = 36*3 + 36
m^2 = 108 + 36
m^2 = 144
m = sqrt(144)
m = 12
Find the area of the parallelogram. 7 in. 12 in. [ ] Area = [?] in.
Answer:
Area= Base x height
Area= 7 x 12 inch
Area= [tex]84inch^{2}[/tex]
Brainliest please
Negative 2 (x + 5) = negative 2 (x minus 2) + 5 What is the solution to Yuto's equation? –10 9 no solution infinitely many solutions
Use the order of operations to simplify this expression. Express your answer in simplest form.
1/2+2/3÷ 5/9
Answer:
1/4/3÷5/9
1/4/3÷9/5
1/4/3/5
Please anyone help me
If die is rolled two times, find the probably of getting "1'twice.
Math Answer[tex] {1}\{36} [/tex]
Feel fre e too ask me
Please understand it
#BrainliestBunch
Which expression represents the number of apples Johnny has?
Johnny picks 14 apples and gives some to his friends.
Answer:
Step-by-step explanation:
Let the number of apples given to his friends = x
To represent the number of apples Johnny has, subtract the apples given to his friends from 14
Number of apples with Johnny = 14 - x
find the length of side x to the nearest tenth
Answer:
x = 2 sqrt(3)/3
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 60 = 1 /x
x sin 60 =1
x = 1 /sin 60
x = 1 / sqrt(3)/2
x = 2 sqrt(3)/3
Please help me!!!!! You have to match the slope of each line
Answer:
it would be line to zero slope that's all I can do for u pal maybe..