Answer:
16k
Step-by-step explanation:
k=3log2
k=(48\16) log2
16k= 48log2
16k=log2 48
Numbers can be expressed in logarithms.
The value of [tex]\mathbf{log_248}[/tex] is [tex]\mathbf{k + 4}[/tex]
The expressions are given as:
[tex]\mathbf{k = log_23}[/tex]
[tex]\mathbf{log_248}[/tex]
Express 48 as 3 * 16
[tex]\mathbf{log_248 = log_2(3 \times 16)}[/tex]
Split
[tex]\mathbf{log_248 = log_2(3) + log_2(16)}[/tex]
Express 16 as 2^4
[tex]\mathbf{log_248 = log_2(3) + log_2(2^4)}[/tex]
Rewrite as:
[tex]\mathbf{log_248 = log_2(3) + 4log_22}[/tex]
In logarithms:
[tex]\mathbf{log_aa = 1}[/tex]
So, we have:
[tex]\mathbf{log_248 = log_2(3) + 4(1)}[/tex]
[tex]\mathbf{log_248 = log_2(3) + 4}[/tex]
Substitute [tex]\mathbf{k = log_23}[/tex]
[tex]\mathbf{log_248 = k + 4}[/tex]
Hence, the value of [tex]\mathbf{log_248}[/tex] is [tex]\mathbf{k + 4}[/tex]
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Luke called a repairman to fix the furnace at his cabin. The repairman charged $35 per hour plus a fee of $25 for the service call, as represented by the expression in the box.
(THE EXPRESSION IN THE BOX IS "35x + 25")
In the expression, what is represented by the variable x?
A) the number of hours it took the repairman to fix the furnace.
B) the distance in miles from the repairman's shop to Luke's cabin.
C) the number of service calls made by the repairman to Luke's cabin.
D) the total amount in dollars that Luke paid to have the furnace repaired.
(I need the answer ASAP)
Answer:
The answer is A.
Step-by-step explanation:
To find the value you have to know how many hours the repairman took to repair. Then after you find how many hours he took multiply the hours by 35 than add 25.
So the equation would look like 35x hr+25 =
hr=hours
ellie is preheating her oven before using it to bake. the initial temperature of the oven is 65° and the temperature will increase the rate of 10° per minute after being turned on what is the temperature of the oven six minutes after being turned on what is the temperature of the oven 10 minutes after being turned on
Answer:
The temperature of the oven after 6 minutes is 125 degrees and after 10 minutes its 165 degrees.
Step-by-step explanation:
10 x 6 = 60
60+65=125
10 x 10 = 100
100+65=165
Which physical property do the two rocks share?
A. Shininess
B. Color
C. State
D. Texture
Answer:
Step-by-step explanation:
State promise
The two rocks share the option C. State.
What are Physical Properties?Physical properties are properties of a substance which does not involve any chemical composition or changes in the substance.
Examples are color, density, hardness, and so on.
Given are two rocks.
Clearly, from the picture, we can say that shininess is different. The first rock is more shining.
Clearly colors are also not same.
Regarding the state of both rocks, both rocks are solid. So they share the property of state.
Texture is also different for both. Second one is harder texture.
Hence the physical property that both rocks share is state.
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It costs $0.50 to download an individual song and $4 to download an album.
Jada has $15 to spend downloading music.
Complete the table showing three ways Jada can spend $15 downloading individual songs and albums.
Answer:
Below are the three ways.
Hope I helped :)
The completed table is given below and the equation for the given situation is 15=4a+0.50s.
Given that, it costs $0.50 to download an individual song and $4 to download an album.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Jada has $15 to spend downloading music.
Let s be number of songs and a be number of albums
So an equation for the given situation is 15=4a+0.50s
From table, in row 1
Given number of songs is 6
15=4a+0.50(6)
⇒ 15=4a+3
⇒ 4a=12
⇒ a=3
From table, in row 2
Given number of albums is 1
15=4(1)+0.50s
⇒ 0.50s=11
⇒ s=11/0.50
⇒ s=22
From table, in row 3
Given number of albums is 30
15=4a+0.50(30)
⇒ 15-15=4a
⇒ a=0
Hence, the completed table is given below and the equation for the given situation is 15=4a+0.50s.
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if f(x) = 3x-2 and g(x) =2x+1 find (f+g)(x)
A. 5x-1
B. 5x-3
C. x-1
D. x-3
pls help find the inequality represented by the graph
Answer:
use the linear equation of a line
equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.
now u do the rest
help
Use the Pythagorean theorem to write an equation for 16^2+12^2=c^2
Answer:
C=20
Step-by-step explanation:
Pythagorean theorem is a^2 + b^2=c^2. So, a=16, and b=12. 16 squared is 256. 12 squared is 144. 256+144=400. 400=c^2. So, the square root of 400=c. and that is 20.
He cafeteria at Midtown Middle School surveyed 575 students about their favorite food. If 8% of the students surveyed liked chicken, how many students said that chicken is their favorite food?
Answer:
46.08 students said that chicken is their favorite food.
Step-by-step explanation:
Let X denote the number of students who liked chicken.
The proportion of students who liked chicken is, p = 0.08.
About n = 576 students were surveyed about their favorite food.
Every student's answer was independent of the others.
Thus, the random variable X follows a binomial distribution with parameters n = 576 and p = 0.08.
The probability mass function of X is:
[tex]P(X=x)={576\choose x}(0.08)^{x}(1-0.08)^{576-x};\ x=0,1,2,3...576[/tex]
Then expected number of students who said that chicken is their favorite food is:
[tex]E(X)=np\\\\=576\times0.08\\\\=46.08[/tex]
Thus, 46.08 students said that chicken is their favorite food.
Helllppppppp 25 pointsssss$
Answer:
192x^3y^9
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
What is the solution of the equation modeled below?
Answer:
3x+4=7x-8
Step-by-step explanation:
hoped it helped..
Marcus can choose between a monthly salary of $1,500 plus a 5.5% commission of sales or $2,000 plus a 3% commission of sales. He expects about $8,000 in sales each month. Which salary option should he choose?
Answer:
2,000 plus a 3% commision :))
Step-by-step explanation:
n-3/4 = 2 3/4
(Change mixed number into a improper fraction)
Answer:
2 3/4 = 11/4 :)
Step-by-step explanation:
Whole number times denominator then add the numerator!
Hope this helps, marks as brainliest please!
2. If mZ1 = 71 degrees, find the measure of the other 7 angles.
The measure of the other 7 angles are;
m∠2 = m∠3 = 109°; m∠4 = m∠5 = m∠8 = 71°; m∠6 = m∠7 = 109°
We are given;
m∠1 = 71°
Thus;
m∠1 and m∠2 are angles that form a straight line and as such they are supplementary angles and sum up to 180°
Thus; m∠1 + m∠2 = 180°
71 + m∠2 = 180°
m∠2 = 180 - 71
m∠2 = 109°
Now, m∠2 and m∠3 are alternate angles and as such;
m∠2 = m∠3
Thus; m∠3 = 109°
Similarly,
m∠1 and m∠4 are alternate angles and as such;
m∠1 = m∠4
Thus;
m∠4 = 71°
m∠1 and m∠5 are corresponding angles and as such;
m∠1 = m∠5
Thus;
m∠5 = 71°
m∠2 and m∠6 are corresponding angles and as such;
m∠2 = m∠6
Thus;
m∠6 = 109°
Similar to how angles were gotten earlier, we can say that;
m∠5 = m∠8 = 71°
and m∠6 = m∠7 = 109°
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What is the binary number for 12
Step-by-step explanation:
[tex]12=8+4=2^3+2^2=\bold1\cdot2^3+\bold1\cdot2^2+\bold0\cdot2^1+\bold0\cdot2^0\\\\12_{10}=1100_2[/tex]
BRAINLY ANNND POINTS FOR RIGHT ANSWER AND STEP BY STEP
3r+4=qr-5p for r
Answer:
r = qr - 5p - 4
Step-by-step explanation:
3r + 4 = qr - 5p
Subtract:
3r = qr - 5p - 4
Divide:
r = qr - 5p - 4
Will give brainliest! The line passing through points (4, 0) and (–2, 1) has a slope of:
-1/6
Hope this helped!
Answer:-1/6
Step-by-step explanation:
Click on all of the equations that have a larger v intercept and a smaller rate of change than the function in the graph
y = $1=3 = 24+5
Answer:
y+6
Step-by-step explanation:
a rectangle has a length of x3y4 inches a width of xy7 inches. which expression represents the ratio of the length of the rectangle to the width of the rectangle?
Answer: R = x^2/y^3
Step-by-step explanation:
here we will use the relation:
x^a/x^b = x^(a - b)
We know that:
Length = x^3*y^4
Width = x*y^7
And we want to find an expression that represents the ratio between the length and the width.
Then we just need to take the quotient Lenght/width or:
R = ( x^3*y^4)/(x*y^7)
Now first let's distribute in such way the x's and the y's are separated, and then let's use the relationship that is above.
= (x^3/x)*(y^4/y^7) = x^(3 - 1)*y^(4 - 7) = x^2*y^-3
R = x^2/y^3
The ratio of the length of the rectangle to the width of the rectangle is [tex]\frac{x^{2} }{y^{3} }[/tex]
Rectangle:Given that,
Area of rectangle is multiplication of length and width of rectangle.
length of rectangle [tex]=x^{3} y^{4}[/tex] inches
Width of rectangle [tex]=xy^{7}[/tex] inches.
the ratio of the length of the rectangle to the width of the rectangle is,
[tex]=\frac{x^{3}y^{4} }{xy^{7} } =\frac{x^{2} }{y^{3} }[/tex]
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I am stuck here, please help :(
Answers:
7 i think.
Step-by-step explanation:
15
The warmest temperature last winter was 17° F. The very next day, the temperature dropped 22° F. What was the actual temperature at the
end of the second night?
°F
Answer:
-5 degrees fahrenheit
-6(2+a)=-48 what is the value for a
Answer:
6
Step-by-step explanation:
-6(2+a) = -48
-6 × 2 + -6 × a = -48
-12 - 6a = -48
-6a = -48 + 12
-6a = -36
a = -36/-6
a = 6
hope you understood!
Identify the domain and range of the relation!
Can someone help me with 2-4
Convert -62.8º C into Fº using the correct formula below. Conversion Formulas: Cº = (Fº - 32º) 1095-02-02-01-00_ 1.8 Fº = 1.8 x Cº + 32º K = Cº + 273
Answer:
- 81.04°F
Step-by-step explanation:
Given the question :
Convert - 62.8°C into F°
Using the conversion formula :
Fº = 1.8 x Cº + 32º
C = - 62.8°
Fº = (1.8 x - 62.8)+ 32º
F° = - 113.04° + 32°
= - 81.04°F
298ºK is the answer
Cº = 77º - 32º / 1.8 = 25º Kº = 25º + 273 Kº = 298º
Someone please help me:)
Answer: D
Step-by-step explanation:
Pleaser answer correctly !!!!!!!!!!!!!!!!!!! *use mathematical language* Will mark brainliest !!!!!!!!!!!!!!
Answer:
Vertical angles are always congruent, or of equal measure. ... Both pairs of vertical angles (four angles altogether) always sum to a full angle (360°). Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees. so therefore verticle angles DO NOT form a linear pair
Step-by-step explanation:
brainliest please ? :)
A. What is the slope of the trend line?
B. What is the meaning of the slope in context of the problem?
C. What is the y-intercept?
D. What is the equation?
E. Predict how many words per minute Jaime would type after 11 weeks. Explain how you made your prediction.
Answer:
Slope is 4/9 The y intercept is where the line crosses on the Y line of the graph i think its 15 or something along those lines. I dont have enough time to answer the rest but i really hope somebody else does!!
Step-by-step explanation:
The cost of 5 pounds of vegetables is $7.55. What is the constant of proportionality that relates the cost of dollars, y,
to the number of pounds of vegetables, x?_(Write a numeric value in decimal form. Do not include units)
Answer:
1.51
Step-by-step explanation:
[tex]y[/tex] = Cost in dollars of vegetables
[tex]x[/tex] = Number of pounds of vegetables
[tex]y\propto x[/tex]
[tex]\Rightarrow y=kx[/tex]
where k = Constant of proportionality
[tex]k=\dfrac{y}{x}[/tex]
In one case
[tex]y = 7.55\$[/tex]
and [tex]x = 5\ \text{pounds}[/tex]
[tex]k=\dfrac{7.55}{5}\\\Rightarrow k=1.51[/tex]
The constant of proportionality is 1.51.
Majed wants to earn at least $30 trimming trees. He charges $7 per hour and pays $5 in equipment fees. What are the possible numbers of hours Majed could trim trees?
Use t for the number of hours.
Write your answer as an inequality solved for t.
Answer:
Step-by-step explanation:
So basically what you want to do is set up an inequality to where 30 is on one side and the variable and the payment is on the other side. The payment is taking away from the profit, so you subtract it. It should look something like this:
30≥7t-5
Now we shall solve for t. Get all like terms to one side:
35≥7t
And divide
5≥t
At least 5 hours to make 30 dollars
Can you help me with my math ixl
Answer:
b = 72
Step-by-step explanation:
2b - 62 = b-10
Subtract b from both sides!
b -62 = 10
Add 62 to both sides
b = 72
Step-by-step explanation:
since TUVW is a rectangle, VU = WT
b - 10 = 2b - 62
b = 52
Topic: Properties of polygons
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what is the input value other than -7 for which h(x)=3
Answer:jrntker,fgv;rmjhnopgykjpftg.l/;[]ref
Step-by-step explanation:
wem,yk6iotfkmmkgjjjkdlmeruijtnmgjhudjmv n