Answers
Answer: Choice A) -3
Work Shown:
[tex]\log_{2}(x+7) = 2\\\\x+7 = 2^2\\\\x+7 = 4\\\\x = 4-7\\\\x = -3\\\\[/tex]
Which leads us to choice A. In the second step, I used the rule that [tex]\log_b(y) = x[/tex] is equivalent to [tex]y = b^x[/tex]. For each equation, the b is the base. Note how logs undo exponents and vice versa.
Answer:
-3
Step-by-step explanation:
log2(x+7) = 2
Raise each side by base 2
2^log2(x+7) = 2^2
x+7 = 4
Subtract 7 from each side
x+7-7 = 4-7
x=-3
Related Questions
Describe the relationship between the area of a circle and it’s circumference
Answers
Answer: We know that for any circle with radius r the formula for the area and circumference of the circle is given as: Area of circle=πr². ... Hence, to describe the relationship between the area of a circle and its circumference. The Area of circle is 1/2 times the radius times the circumference.
Step-by-step explanation:
how would one solve this
Answers
What is the answer the the equation 3(n-4)= -9
Answers
Answer:
i believe the answer is N=1
Helllllppppp please????
Answers
Answer:
7.75
Step-by-step explanation:
(I'm assuming you need to find the missing side of the triangle)
To find missing values in a right angle. we will use the pythagoras theorem which states that:
h^2 = a^2 + b^2
16^2 = 14^2 + b^2
256 = 196 + b^2
256 - 196 = b^2
60 = b^2 (take sqaure root)
b= 7.75
Answer from Gauthmath
7.75
Step-by-step explanation:
*I’m a big starter to brainly so I’ll appreciate if I can get brainliest please thank you*
Solve the right triangle is a incomplete question. Instead the correct question should’ve been: “Solve for the missing side length”.
Two things we need to understand for this
• Pythagorean theorem
• A, b and c sides
——————————————————————
Pythagorean theorem: a formula used to solve for a missing side length.
Pythagorean theorem = a^2 + b^2 = c^2 where a^2 would be 14 b^2 would be missing side and c^2 would be 16.
Makes sense cause the two sides added (a^2 & b^2) add up to c^2 which is the largest side.
Now we’re going to get right into the steps!
Step 1. Find the missing side length of the right triangle
a^2 + b^2 = c^2
Substitute the side lengths to the formula
14^2 + b^2 = 16^2
Simplify the exponents
196 + b^2 = 256
Solve for b^2
b^2 = 256 - 196
b^2 = 60
Note: that’s not the final answer that is just side b being squared now to undo the square we must square root 60.
Sqrt rt 60 = 7.75
So the missing side length of the triangle would be 7.75
The distance traveled (in meters) by a frog is modeled by the equation d=0.2t where d is the distance traveled in meters and t is the time in minutes. Find the distance traveled in 25 minutes
Answers
Answer:
5 meters traveled in distance.
Step-by-step explanation:
Since we are finding the distance of a frog traveling ? distance in 25 mins, we can substitute t for 25. If we do, 0.2 x 25 = 5, d = 5.
Hope this helps!
The graph shows a line and two similar triangles.
On a coordinate plane, a line goes through (0, 0) and (6, 4). A small triangle has a rise of 2 and run of 3. A larger triangle has a rise of 4 and run of 6.
Which expression finds the equation of the line?
StartFraction y Over x EndFraction = three-halves
StartFraction y Over x EndFraction = two-thirds
StartFraction y Over 2 EndFraction = StartFraction 3 Over x EndFraction
StartFraction y Over 3 EndFraction = StartFraction x Over 2 EndFraction
Answers
Answer: Choice B) [tex]\frac{y}{x} = \frac{2}{3}[/tex]
This is the same as saying y/x = 2/3
Or I suppose you could say "y over x = two-thirds".
===============================================
Explanation:
Recall that slope is rise over run
slope = rise/run
The rise being the change in y, while the run is the change in x.
So we could informally think of it as slope = y/x
-----------
Since we're told that it "has a rise of 2 and run of 3", this means slope = 2/3.
The slope is both y/x and also 2/3.
Equating the two expressions leads us to y/x = 2/3. This is why choice B is the final answer.
-----------
Side notes:
This trick only works when the line goes through the origin (0,0)To rephrase the last bullet point, the line must have y intercept 0.If you multiplied both sides by x, then you get y = (2/3)xAnswer:
B
Step-by-step explanation:
(-_-)
find the missing segment in the image below
Answers
Answer:
Step-by-step explanation:
I replace x instead of ?.
35/35+(x+35)=(60_35)/60
.....35×60=875+25x+875
2100=1750+25x
350=25x---->x=350÷25=14....x:14
What is the answer to this question? Please give a step by step explanation.
Answers
Answer:
25
Step-by-step explanation:
8b^2 +2a(4c-b)
Let a = 1/4 b=2 c= -3
8 ( 2)^2 +2(1/4) ( 4*-3 -2)
Parentheses first
8 ( 2)^2 +2(1/4) ( -12 -2)
8 ( 2)^2 +2(1/4) ( -14)
Then exponents
8 ( 4) +2(1/4) ( -14)
Then multiply
32 -7
Subtract
25
Part C
Now try this one. Write a description of the partitioned function using known function types, including transformations.
Answers
Answer:
Please find the complete question in the attached file.
Step-by-step explanation:
All three functions are defined as follows:
For function 1:
The module on the absolute value function instance example also is known as this function:
[tex]f(x)=|x| \ \left \{ {{x, \ \ x>0} \atop {-x \ \ <0}} \right.[/tex]
This is [tex]f(x)= x, \ \ x<0[/tex] in the following diagram.
For function 2:
It is an algebraic function of in this function
It also is a quadratic polynomial functional with a [tex]y=x^2, \ \ x>0[/tex] value.
For function 3:
The cubic polynomial equation is evaluated for in this function
The value of the graph is:
[tex]y=-x^3 \ \ \ \ and\\\\\to y= f(x)\\\\\to y= -f(x)\\\\[/tex]
I don't think that there is enough info for this problem, but could someone try to help?
Answers
Answer:
12
Step-by-step explanation:
Rectangle : Let length = b & width = a
PQ = QR = 6
LR = QR - PL = 6 - a
ΔPQR ~ ΔMLR
In similar triangles, corresponding sides are in same ratio.
[tex]\frac{PQ}{QR}=\frac{ML}{LR}\\\\\frac{6}{6}=\frac{a}{6-b}[/tex]
[tex]1 =\frac{a}{6-b}[/tex]
6 - b = a
6 = a + b
a +b = 6
Perimeter of rectangle = 2*(length +width}
= 2*(a+ b)
= 2 * 6
= 12
Year 10 girls = 70, year 10 boys = 140, what fraction of year 10 are boys?
Answers
Answer:
2/3
Step-by-step explanation:
140/(140+70)
=140/210
simplified
=2/3
You add 70 and 140 which equals 210. 210 divided by 14 is 15 and 140 divided 14 equals 10. So you have 10 over 15 so you divide both by 5 and you get 2/3
Which of the following is the solution to 9|x +4|>54 ?
O A. x2-10 or x 2 2
O B. xs-10 and x 2
C. x2
O D. X<-10 or x >2
Answers
Answer:
x>2 or x<-10
Step-by-step explanation:
9|x +4|>54
Divide each side by 9
9/9|x +4|>54/9
|x +4|>6
There are two solutions, one positive and one negative
x+4 >6 or x+4 < -6
Subtract 4 from each side
x+4-4 >6-4 or x+4-4 < -6-4
x>2 or x<-10
I NEED HELP please hurry!!!
Answers
Answer:
H
Step-by-step explanation:
Answer:
J
Step-by-step explanation:
Area of Rectangle = length x width
(2x + 11) * (3x+5)
= (2x * 3x) + (2x*5) + (11*3x) + (11*5)
= 6x^2 + 10x + 33x + 55
= 6x^2 + 43x + 55
Answered by Gauthmath
Supón que un obrero manufactura cajas rectangulares dedistintos tamaños. La longitud de cualquier caja debe ser superior a su ancho en al menos 3 cm, y el perímetro no puede ser superior a los 24 m. ¿Cuáles son las medidas posibles de una caja?
Answers
Answer:
Dado que un obrero manufactura cajas rectangulares de distintos tamaños, y la longitud de cualquier caja debe ser superior a su ancho en al menos 3 cm, y el perímetro no puede ser superior a los 24 cm, para determinar cuáles son las medidas posibles de una caja se debe realizar el siguiente cálculo:
X + X + 6 = 24
2X = 18
X = 9
Por lo tanto, la caja puede tener 4.5 centímetros de ancho por 7.5 de largo, o bien ir aumentando su longitud en desmedro de su anchura.
Need help here! Tytyty
Answers
Step-by-step explanation:
First, we want to find profit given revenue and cost. Because profit = revenue - cost, we can write the profit function, P(x), as R(x) - C(x) and go from there.
P(x) = R(x) - C(x)
P(x) = (-x²+24x) - ( 10x + 30)
P(x) = -x²+24x - 10x-30
P(x) = -x²+14x-30
In a quadratic function such as this, the graph opens downward (meaning that it goes from up to down) if the leading coefficient is negative and vice versa. Here, since -1 is attached to x², we can say that the graph opens downward. The point where the direction of the slope changes (when it goes from up to down), or the peak of the quadratic, is called the vertex.
The x value of the vertex is given by -b/(2a) in a quadratic of form ax²+bx+c. As a=-1 and b=14 here, we can say that -b/(2a) =
-14/(2*-1) = -14/-2
= 7
Therefore, the x value of the vertex, or the number of containers sold that maximizes profit, is 7.
4. Three friends are collecting football cards. They have 240 cards between them. Zukile has 60 more cards than Adam, and Siya has twice as many cards as Adam. If Adam has x number of cards, write and solve an equation to find how many cards they each have.
Answers
Answer:
Zukile has 105, Adam has 45, Siya has 90
Step-by-step explanation:
Not sure how right this is, but I did: 240=2x+x+(60+x)
Simplify to: 240=60+4x
Simplify to: 180=4x
Simplify to: 45=x
x^2-1/4y^2, if x=9, and y=2
Answers
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Use properties to evaluate - (- = {)6.
O A. 1
B.
c.-
O D. 1 /
SUBMIT
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Answer:
-4/5
Step-by-step explanation:
first use bodmas to evaluate work on brackets then division
Five and a quarter million in figures
Answers
he perimeter of the scalene triangle is 54.6 cm.
A scalene triangle where all sides are different lengths. The base of the triangle, labeled 3 a, is three times that of the shortest side, a. The other side is labeled b.
Which equation can be used to find the value of b if side a measures 8.7 cm?
Answers
Answer:
54.6 - (8.7 + 3*8.7) = b
Step-by-step explanation:
we know the value of a
a = 8.7
the side '3a' is 3 times a
3*8.7 = 26.1
now the definition of perimeter is all the sides added up together :
side a + side 3a + side b = 54.6
8.7 + 26.1 + b = 54.6
34.8 + b = 54.6
b = 19.8
or
side a + side 3a + side b = 54.6
side 4a + side b = 54.6
4*8.7 + b = 54.6
a.) What is the measurement of the missing side (c)?
b.) What is the angle of (x)?
Answers
Which theorem is used?
Answers
Answer:
E
Step-by-step explanation:
I believe it should be E because it uses parallel lines
Bill went to the store to purchase new clothes for the upcoming school year. Bill purchased 8 shirts, 4 pairs of shorts, and 2 pairs of pants. If a single outfit consists of one shirt and either one pair of shorts or one pair of pants, how many outfits can Bill create with the clothes he purchased
Answers
Answer:
Hence 48 outfits can Bill create with the clothes he purchased.
Step-by-step explanation:
Now the given are,
8 shirts,
4 pairs of shorts,
2 pairs of pants.
Here we have to find the outfits can Bill create with the clothes he purchased:
8 * (4+2) = 48.
Bill can create 64 outfits with the clothes he purchased
The given parameters are:
[tex]Shirt = 8[/tex]
[tex]Shorts = 4[/tex]
[tex]Pant = 2[/tex]
Bill can only select one of each cloth, at a time.
So, the number of outfits is the product of the number of shirts, shorts and the pants.
So, we have:
[tex]n = Shirt \times Shorts \times Pant[/tex]
This gives
[tex]n = 8 \times 4 \times 2[/tex]
Evaluate the product
[tex]n = 64[/tex]
Hence, Bill can create 64 outfits
Read more about counting and selection at:
https://brainly.com/question/4658834
identify each of the following as rational or irrational.
Answers
Answer:
Step-by-step explanation:
A rational number can be written as a fraction of two integers.
√23 is irrational because we do not know what the square root of 23 is in terms of integers in a fraction.
104.42 is rational because it can be expressed as 10442/100 . We can express it as this because
104.42 * 1 = 104.42 * 100/100 = 10442/100, and multiplying something by 1 keeps it the same
√64 is rational because it is equal to 8, and 8/1 is equal to 8
49.396 with the 6 repeating is rational because we can express 49.39 as
49.39 * 1 = 49.39 * 100/100 = 4939/100, and we are then left with
49.396- 49.39 = 0.006 (with the 6 repeating). A repeating decimal can be expressed as x/9, with the x representing all values before the repetition begins multiplied by 10.
For example, 0.6 with the 6 repeating can be represented as 6/9. This is because 0.6 * 10 = 6, and we divide that by 9. Similarly, 0.006 with the 6 repeating can be represented by 0.06/9
We add the two fractions together to get
4939/100 + 0.06/9
multiply both fractions by the other's denominator to even them out and make the numerator of the second fraction an integer
(4939*9)/(100*9) + (0.06*100)/(9*100)
= 44451/900 + 6/900
= 44460/900
Assuming that the last number has only the digits given, that is rational because, similarly to 104.42, it can be multiplied by a power of 10 to result in (integer)/(integer), making it rational. If the dots represent infinite digits, then it is not rational because there are infinite digits that are not repeating, and there is no way to know the last digit, so it is impossible to write a fraction from it
Carlos compro cierta cantidad de panes puso 1/4 de esa cantidad sorbre su bandeja y dejo el resto de panes en la bolsa ¿Cuantos panes dejo Carlos en la bolsa?
Answers
Answer:
The quantity of loaves left in the bag is 3/4.
Step-by-step explanation:
Carlos bought a certain amount of loaves, put 1/4 of that amount on his tray and left the rest of the loaves in the bag. How many loaves did Carlos leave in the bag?
Quantity of loaves in tray is 1/4
So, the quantity of loaves in the bag is
[tex]1-\frac{1}{4}=\frac{3}{4}[/tex]
Evaluate 6 + 3b if b = 7
Answers
Step-by-step explanation:
6+3b=6+3(7)=6+21=27
Very easy
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The dimensions of a conical funnel are shown below: A conical funnel is shown with the height of the cone as 8 inches and the radius of the base as 3 inches. Nisha closes the nozzle of the funnel and fills it completely with a liquid. She then opens the nozzle. If the liquid drips at the rate of 15 cubic inches per minute, how long will it take for all the liquid to pass through the nozzle? (Use π = 3.14.) 3.34 minutes 5.02 minutes 13.39 minutes 15.07 minutes
Answers
Answer:
B
Step-by-step explanation:
r=3 in
h=8 in
Volume of funnel
[tex]V=\frac{1}{3}\pi r^2h\\=\frac{1}{3} \times 3.14 \times 3^2 \times 8\\=75.36 in.^3\\time ~taken~to~drip out=\frac{75.36}{15}\\\approx 5.02~minutes.[/tex]
Answer:
5.02 is right
Step-by-step explanation:
i hope this helps
2. Which of the following values of x are solutions
to the equation x2 + 2x = 3? Select all that
apply.
Answers
Answer:
C and D
Step-by-step explanation:
Given
x² + 2x = 3 ( subtract 3 from both sides )
x² + 2x - 3 = 0 ← in standard form
Consider the factors of the constant term (- 3) which sum to give the coefficient of the x- term (+ 2)
The factors are + 3 and - 1 , since
3 × - 1 = - 3 and 3 - 1 = + 2 , then
(x + 3)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3 → D
x - 1 = 0 ⇒ x = 1 → C
Please explain how to do this. 7th grade math. Worth 20 points.
Answers
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:find}}{\blue{:}}}}}[/tex]
The value of [tex]x[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\longrightarrow{\green{x=12° }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
We know that,
[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]
➪ 95° + (3[tex]x[/tex] +4)° + (4[tex]x[/tex] - 3)° = 180°
➪ 3[tex]x[/tex] + 4[tex]x[/tex] + 95° + 4° -3° = 180°
➪ 7[tex]x[/tex] + 96° = 180°
➪ 7[tex]x[/tex] = 180° - 96°
➪ 7[tex]x[/tex] = 84°
➪ [tex]x[/tex] = [tex]\frac{84°}{7}[/tex]
➪ [tex]x[/tex] = 12°
Therefore, the value of [tex]x[/tex] is 12°.
Now, the three angles of the triangle are 95°, 40° and 45° respectively.
[tex]\large\mathfrak{{\pmb{\underline{\purple{To\:verify}}{\purple{:}}}}}[/tex]
✒ 95° + 40° + 45° = 180°
✒ 180° = 180°
✒ L. H. S. = R. H. S.
[tex]\boxed{Hence\:verified.}[/tex]
Hello Guys I need help with...The highest common factor of 6x;,8xy
Answers
Answer:
2x
Step-by-step explanation:
Given
6x and 8xy
The highest common factor of 6 and 8 is 2
The highest common factor of x and xy is x
Then
The highest common factor of 6x and 8xy is 2x
