Answer:
One solution; x = -[tex]\frac{6}{7}[/tex]
Step-by-step explanation:
12x + 6 = 5x
12x - 5x = -6
7x = -6
x = -[tex]\frac{6}{7}[/tex]
Which of the following graphs represents the function f(x)=2^x
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]f(x)=2^{x}[/tex]
This is a exponential function of the form
[tex]y=a(b)^{x}[/tex]
where
a is the initial value
b is the base
In this problem
[tex]a=1[/tex]
[tex]b=2[/tex]
[tex]b=1+r[/tex]
[tex]r=2-1=1=100\%[/tex]
using a graphing tool
The graph in the attached figure
In school there are 550 students if the ratio of lefties to righties is 2:9 how many lefties are in the school
Answer:
100
Step-by-step explanation:
550=L+R
2/9=L/R
=========
Solve the second for L: 2R/9=L
Plug this into the first: 550=2R/9 +R
(2/9+1=11/9) So : 550=11R/9
Now multiply both sides by 9/11: 550(9)/11=R
R=50(9)=450
L=550-R=550-450=100
There are 100 lefties
The number of left-handed students in the school is 100, calculated by dividing the total student population by the sum of the ratio parts and then multiplying by the number of parts for lefties.
To calculate the number of left-handed students in a school with 550 students and a ratio of lefties to righties of 2:9, you first add the parts of the ratio together (2 + 9 = 11 parts). Knowing that 11 parts represent all students, 1 part is equal to 550 students divided by 11, which is 50 students. Because there are 2 parts for lefties, you multiply 50 students by 2 parts to find out that there are 100 left-handed students in the school.
How many more times intense is an earthquake that measures 8 on the Richter scale than an earthquake that measures 5? Explain your answer.
Answer:
1000 times
Step-by-step explanation:
The Richter scale is a logarithmic scale, so we can say an earthquake of magnitude 8 on the Richter scale shows an intensity of 10^8.
In the same way, an earthquake of magnitude 5 on Richter scale will have an intensity of 10^5.
To evaluate the difference, we divide one by the other.
10^8 / 10^5 = 10^3 = 1,000
An earthquake of intensity of 8 is 1,000 times more powerful than one of intensity 5.
Answer:
on edge
A magnitude 8 earthquake is 1,000 times more intense than a magnitude 5 earthquake. A magnitude 8 earthquake is 108 times more intense than a standard earthquake, while a magnitude 5 earthquake is 105 times more intense than a standard earthquake, and 108 ÷ 105 = 103. Each unit increase on the Richter scale corresponds to an intensity increase by a factor of 10. So from 5 to 8 on the Richter scale, the intensity increases by 103 = 1,000.
Last month, when Joe took his puppy to the veterinarian, the puppy weighed 5.4 pounds. This month, the puppy weighed 7.56 pounds. What is the percentage increase of the weight of the puppy?
Answer:
40%
Step-by-step explanation:
We are given that last month, Joe's puppy weight 5.4 pounds while this month, the puppy weighed 7.56 pounds.
We are to find the percentage increase of the weight of the puppy
We know that the formula of percentage increase if given by:
Percentage increase = (new value - initial value)/initial value × 100
So substituting the given values to get:
Percentage increase in puppy's weight = [tex]\frac{7.56-5.4}{5.4} \times 100[/tex] = 40%
11) - V12 + 3V3
Simplify
Answer:
[tex]\large\boxed{-\sqrt{12}+3\sqrt3=\sqrt3}[/tex]
Step-by-step explanation:
[tex]-\sqrt{12}+3\sqrt3=-\sqrt{4\cdot3}+3\sqrt3\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=-\sqrt4\cdot\sqrt3+3\sqrt3=-2\sqrt3+3\sqrt3=(-2+3)\sqrt3=1\sqrt3=\sqrt3[/tex]
GEOMETRY Please help me
Answer:
First option.
Step-by-step explanation:
In this case you need to remember that an angle formed by two intersecting chords is equal to the sum of the intercepted arcs divided by 2. This is:
[tex]Angle\ formed\ by\ two\ intersecting\ chords=\frac{1}{2}(Sum\ of\ intercepted\ arcs)[/tex]
You can identify in the figure that the angle ∠1 is an angle formed by two intersecting chords. Therefore, since the intercepted arcs are SP and QR, you can say the following:
[tex]m\angle 1=\frac{1}2}(mSP+mQR)[/tex]
You can observe that this matches with the first option.
Identify the slope and y-intercept of the graph of the equation. y=4x+3
Answer: the slope is 4 and the y intercept is 3. Hope this helps!
Answer:
slope = 4
y-intercept = 3
Step-by-step explanation:
Note the slope-intercept form: y = mx + b
x & y is found inside the point (x , y).
m is the variable for the slope.
b is the variable for the y-intercept.
Find the corresponding number for the corresponding variable.
slope = m = 4
y-intercept = b = 3
~
What is the ratio fraction form of 25:9
Answer:
25/9
Step-by-step explanation:
Fraction is 25/9 and it's simplified.
Hope my answer has helped you if not i'm sorry.
Rosemarie drove from Philadelphia, Pennsylvania, to Pittsburgh, Pennsylvania. The distance between Philadelphia and Pittsburgh is 305 miles. Rosemarie reached Pittsburgh 5 hours after she left Philadelphia. What is the speed at which she drove her car?
Answer:
The speed was [tex]61\frac{miles}{hour}[/tex]
Step-by-step explanation:
we know that
The speed is equal to divide the distance by the time
Let
s------> the speed in miles per hour
d ----> the distance in miles
t ----> is the time in hours
we know that
[tex]s=\frac{d}{t}[/tex]
we have
[tex]d=305\ miles[/tex]
[tex]t=5\ hours[/tex]
substitute
[tex]s=\frac{305}{5}[/tex]
[tex]s=61\frac{miles}{hour}[/tex]
An essay contains 549 words. To the nearest hundred, how many words are in the essay?
Answer: 500 as 49 is closer to 500 by 1, if it was 550 then it would have been 600. It's basically just estimation or rounding it off to the nearest hundred
The lines shown below are parallel.if the green line has a slope of -3/7 what is the slope of the red line
Answer:
-3/7
Step-by-step explanation:
If the lines are parallel, they have the same slope.
The green line has a slope of -3/7, so the red line must have a slope of -3/7
Multiply or divide as indicated. Y^-9•y^-8•y^10
Answer:
1 / y^7
Step-by-step explanation:
Y^-9•y^-8•y^10
= y^10 / y^9•y^8
= y^10 / y^17
= 1 / y^7
Answer: The answer is y^-7
What is the midpoint of AB?
G
H
I
B
+
-9
A
+ +
-8 -7 -6
+
-5
F
+ +
-4 -3
+ +
-2 -1
+
0
1
2
3
+
4
+
5
+
6
+
7
8
9
Opoint F
O point
point H
Opoint
The midpoint between AB is at point G
Data;
A = -6F = -2G = 1H = 2 I = 3Midpoint of ABThe midpoint of AB can be found as the middle between point A and point B.
Point A starts from -6 and point B is at 8.
If we look through this, the midpoint between A and B is 1 which falls at point G
The midpoint between AB is at point G
Learn more on midpoint of a line here;
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Find the distance between -4 and 10 on a
number line.
Answer:
14 numbers.
Step-by-step explanation:
Since -4 is in the negatives, we would go up on the number line until we reached positive 10. Which would therefore equal, 14.
Answer:
14 units
Step-by-step explanation:
We have to take the absolute value of the measure in both directions, that is
| 10 - (- 4) | = | 10 + 4 | = | 14 | = 14
| - 4 - 10 | = | - 14 | = 14
Figure ABCDE was reflected across the line y=x to create figure A’B’C’D’E’.What are the coordinates of the pre-image of E’?
Answer:
(-2, 6) on edge
Step-by-step explanation:
Use the balanced scale to find the number of grams in 17 kilograms.
Hello! My name is Zalgo and I am here to help you out on the beautiful day!. The answer to your question would be that 17000 grams is the same weight as 1 kilogram since 1 kilogram is the same weight as 1000 grams.
I hope that this helps! :P
"Stay Brainly and stay proud!" - Zalgo
(By the way, can you mark me as Brainliest? I'd greatly appreciate it! Thanks! X3)
Final answer:
To convert 17 kilograms to grams, multiply 17 by 1000 to get 17000 grams.
Explanation:
To find the number of grams in 17 kilograms, we need to understand the relationship between kilograms and grams. One kilogram is equal to 1000 grams. Therefore, to convert kilograms to grams, we multiply by 1000.
Step-by-step conversion:
Start with the given weight in kilograms: 17 kg.Multiply this number by 1000 to convert to grams: 17 kg × 1000 = 17000 grams.So, 17 kilograms is equal to 17000 grams.
Perform the following computation with radicals. Simplify the answer.
Answer:
Sqrt [ 6 ] * 2
Step-by-step explanation:
Sqrt[3]*2 Sqrt[2]
Sqrt [ 3 ] Sqrt [ 2 ] = Sqrt [ 3 * 2 ]:
Sqrt[ 3 * 2 ] 2
Answer:
Sqrt [ 6 ] * 2
ANSWER
[tex]2 \sqrt{6} [/tex]
EXPLANATION
[tex] \sqrt{3} \times 2 \sqrt{2} [/tex]
This is the same as:
[tex]2 \times \sqrt{3} \times \sqrt{2} [/tex]
Recall that:
[tex] \sqrt{a} \times \sqrt{b} = \sqrt{ab} [/tex]
We apply this property of radicals to obtain;
[tex]2 \times \sqrt{3} \times \sqrt{2} = 2 \sqrt{3 \times 2} [/tex]
We simplify to get;
[tex]2 \times \sqrt{3} \times \sqrt{2} = 2 \sqrt{6} [/tex]
Therefore the simplified form of the given expression is
[tex]2 \sqrt{6} [/tex]
Find the non permissible replacement for -5/7s
Answer:
0 is the answer.
Step-by-step explanation:
This would be the same answer as the last problem of yours I answered, since the denominator has to be 0 in the equation -5/7s≠0
s≠0
So the non permissible replacement is 0.
Hope this helps!
Which equation is the inverse of 2(x-2)squared=8(7+y)
Answer:
[tex]f^{-1}(x)=2(+/-)2\sqrt{(7+x)}[/tex]
Step-by-step explanation:
we have
[tex]2(x-2)^{2}=8(7+y)[/tex]
step 1
Exchange x for y and y for x
[tex]2(y-2)^{2}=8(7+x)[/tex]
step 2
isolate the variable y
[tex](y-2)^{2}=4(7+x)[/tex]
take the square root both sides
[tex]y-2=(+/-)\sqrt{4(7+x)}[/tex]
[tex]y=2(+/-)\sqrt{4(7+x)}[/tex]
step 3
Let
[tex]f^{-1}(x)=y[/tex]
[tex]f^{-1}(x)=2(+/-)\sqrt{4(7+x)}[/tex]
[tex]f^{-1}(x)=2(+/-)2\sqrt{(7+x)}[/tex] ----> equation of the inverse
Answer:
y=2+√28+4x
Step-by-step explanation:
Which equation describes the same line as y-5=-2(x+4)
Answer:
The answer should be: A.
An equation which describes the same line as [tex]y-5=-2(x+4)[/tex] is [tex]y=-2x-3[/tex].
Given the following data:
[tex]y-5=-2(x+4)[/tex]
To find an equation which describes the same line as the one given:
In Mathematics, the standard form of an equation of line is given by the following formula;
[tex]y = mx+b[/tex]
Where:
x and y are the points.m is the slope.b is the intercept.Simplifying the given equation, we have:
[tex]y-5=-2(x+4)\\\\y-5 =-2x -8\\\\y = -2x-8+5\\\\y=-2x-3[/tex]
Read more: https://brainly.com/question/18123312
If sin 150° is 1/2 find sin75°
To find sin 75°, use the half-angle identity for sine: sin(2θ) = 2sinθcosθ. Since sin 150° = 1/2, find cos 150° using the Pythagorean identity. Then, use the half-angle identity for sine to find sin 75°.
Explanation:To find sin 75°, we can use the half-angle identity for sine: sin(2θ) = 2sinθcosθ.
Given that sin 150° = 1/2, we can find cos 150° using the Pythagorean identity: sin²θ + cos²θ = 1.
sin²150° + cos²150° = 1, (1/2)² + cos²150° = 1, cos²150° = 1 - (1/4), cos²150° = 3/4.
Since 150° falls in the second quadrant, it has a negative value: cos 150° = -√(3/4) = -√3/2.
Now, we can use the half-angle identity for sine: sin 75° = 2sin(150°/2)cos(150°/2).
sin 75° = 2(sin 150°/2)(cos 150°/2) = 2(√(1/4))(√3/2) = √3/2.
Final answer:
To find sin 75°, we can use the double angle formula for sine and substitute the given value of sin 150°. The result is sin 75° = cos 75°.
Explanation:
To find sin 75°, we can use the double angle formula for sine.
The formula is sin 2θ = 2sin θcos θ. We know that sin 150° = 1/2, so we can substitute θ = 75° into the formula:
sin 2(75°) = 2sin 75°cos 75°
Using the double angle formula, we get:
2sin 75°cos 75° = 2(1/2)cos 75° = cos 75°
Therefore, sin 75° = cos 75°
which transformation can verify congruence by flipping a triangle over the y-axis
Answer:
Reflection
Step-by-step explanation:
reflect it over the y axis it will be congruent
Answer:
reflection
Step-by-step explanation:
if the triangle is reflected it will keep its exact shape and only be flipped over.
(pls mark brainliest)
what equation shows x^2+6x-6=0 rewritten by completing the sqaure
Answer:
(x + 3)² = 15
Step-by-step explanation:
Given
x² + 6x - 6 = 0 ( add 6 to both sides )
x² + 6x = 6
To complete the square
add (half the coefficient of the x- term )² to both sides
x² + 2(3)x + 9 = 6 + 9
(x + 3)² = 15
Follow below steps:
The question asks about rewriting the quadratic equation x^2+6x-6=0 by completing the square. To complete the square for an equation of the form ax^2+bx+c=0, we need to add and subtract the square of half the coefficient of x, which is (b/2)^2, to make it a perfect square trinomial.
Here are the steps for completing the square for the given equation:
Divide all terms by the coefficient of x^2 if it is not 1 (in this case, it is already 1).
Move the constant term to the other side of the equation: x^2 + 6x = 6.
Find (b/2)^2, where b is the coefficient of x, which is 6 in this case. So, (6/2)^2 = 9.
Add and subtract this value inside the equation: x^2 + 6x + 9 - 9 = 6.
Write the left-hand side as a perfect square and simplify the right-hand side: (x+3)^2 - 9 = 6.Finish by repositioning: (x+3)^2 = 15.
The equation x^2+6x-6=0 rewritten by completing the square is (x+3)^2 = 15.
5x + 8y =2
4x -6y =9
Answer:
x = 42/31, y = -37/62
Step-by-step explanation:
5x + 8y =2
4x -6y =9
Multiply the first equation by 4
4(5x + 8y) =2*4
20x +32y = 8
Multiply this equation by -5
-5(4x -6y) =9*-5
-20x +30y = -45
Add them together
20x +32y = 8
-20x +30y = -45
-----------------------------
62y = -37
Divide by 62
62y/62 = -37/62
Multiply the first equation by 3
3(5x + 8y) =2*3
15x +24y =6
And the second equation by 4
4(4x -6y) =9*4
16x -24y = 36
Add them together
15x +24y =6
16x -24y = 36
-----------------
31x = 42
Divide by 31
31x/31 = 42/31
x = 42/31
what is 30% of $40 ?
Answer:
$12
Step-by-step explanation:
30 % × $40 = 30 ÷ 100 × 40 = $12
The value of the Percentage 30% of $40 is: $12
How to calculate the percentage?Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.
Percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".
Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100. It is given by:
Percentage = (value / total value) * 100%
Thus:
30% of $40 is calculated as:
30/100 * 40
= 1200/100
= $12
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Find the perimeter of each of the two noncongruent triangles where a = 15, b = 20, and A = 29°
Answer with explanation:
Using Sine Rule for Congruence of Triangles
[tex]\Rightarrow\frac{a}{\ SinA}=\frac{b}{\ Sin B}=\frac{c}{\ Sin C}\\\\\Rightarrow\frac{15}{\ Sin29^{\circ}}=\frac{20}{\ Sin B}\\\\\Rightarrow\frac{15}{0.49}=\frac{20}{\ Sin B}\\\\\Rightarrow \ SinB=\frac{20 \times 0.49}{15}\\\\\Rightarrow \ SinB=\frac{9.8}{15}\\\\\Rightarrow \ SinB=0.65\\\\B=41^{\circ}[/tex]
Using Angle Sum Property of Triangle
⇒∠A+∠B+∠C=180°
⇒29°+41°+∠C=180°
⇒∠C=180°-70°
⇒∠C=110°
→Again Using Sine Rule
[tex]\Rightarrow \frac{b}{\ Sin B}=\frac{c}{\ Sin C}\\\\\Rightarrow \frac{20}{\ Sin 41^{\circ}}=\frac{c}{\ Sin 110^{\circ}}\\\\\Rightarrow \frac{20}{0.65}=\frac{c}{0.94}\\\\\Rightarrow \frac{20 \times 0.94}{0.65}=c\\\\\Rightarrow c=\frac{18.8}{0.65}\\\\\Rightarrow c=28.92[/tex]
Length of third Side =28.92 unit
So,Perimeter of Triangle
=Sum of sides of triangle
=a +b +c
=15 + 20 +28.92
= 63.92 unit
Answer:
b on edge
Step-by-step explanation:
The second angle of a triangular kite is four times as large as the first. The third angle is 55 degrees ° more than the sum of the other two angles. Find the measure of the second angle
Answer:
50 degrees
Step-by-step explanation:
As the kite is triangular, the sum of all angles will be 180 degrees.
Let x be the first angle.
Then according to the statement second angle is four times as large as the first, second angle will be:
4x
And according to the statement, the third angle is 55 degrees ° more than the sum of the other two angles, third angle will be:
x+4x+55
So,
x+4x+x+4x+55=180
10x+55=180
10x= 180-55
10x=125
x=125/10
x=12.5 degrees
So first angle is 12.5 degrees.
Second angle = 4(12.5)
=50 degrees
Third angle = x+4x+55
= 12.5+50+55
= 117.5 degrees
To check if the sum of angles is 180 degrees
= 12.5+117.5+50 = 180
Hence, second angle is 50 degrees ..
Help Hurry
Without using your calculator, list the cubes of the numbers from 1‒6, and 10. Then write the cube roots of each cube. Memorize these as you have memorized other basic facts.
Answer:
1 cubed 1
2 cubed 8
3 cubed 27
4 cubed 64
5 cubed 125
6 cubed 216
10 cubed 1,000
Cube Root of 1 is 1
Cube Root of 8 is 2
Cube Root of 27 is 3
Cube Root of 64 is 4
Cube Root of 125 is 5
Cube Root of 216 is 6
Cube Root of 1,000 is 10
Step-by-step explanation:
To find the cube of a number multiply that number by itself three times and to find the cube root of a number find one perfect cube less than the original number and then find one greater than the original number and then round if you need to.
To find the cubes of numbers without a calculator, multiply each number by itself twice. To find the cube root, determine which number, when multiplied by itself twice, equals the given cube.
Explanation:In order to list the cubes of the numbers from 1-6 and 10 without a calculator, we need to multiply each number by itself twice. Here are the cubes:
1: 1 x 1 x 1 = 12: 2 x 2 x 2 = 83: 3 x 3 x 3 = 274: 4 x 4 x 4 = 645: 5 x 5 x 5 = 1256: 6 x 6 x 6 = 21610: 10 x 10 x 10 = 1000To find the cube root of each cube, we need to determine which number, when multiplied by itself twice, equals the given cube. Here are the cube roots:
1: Cube root of 1 = 18: Cube root of 8 = 227: Cube root of 27 = 364: Cube root of 64 = 4125: Cube root of 125 = 5216: Cube root of 216 = 61000: Cube root of 1000 = 10Learn more about Cubes and Cube Roots here:https://brainly.com/question/35707400
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Which of the following is a radius of circle B?
BN
MD
NH
Following are the calculation to the radius of circle B:
One of the most important aspects of a circle is the radius. It is also the distance between the circle's center as well as any location on its circumference. In other terms, the diameter of a circle is indeed the continuous line that connects the center of a circle to every point on its circumference.In the given images except for the second circle image, all were wrong because they don't represent circle B.Therefore, the answer is "BN".
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find the simplified product ^3 sqrt 9x^4 * ^3 sqrt 3x^8
[tex]\bf ~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \sqrt[3]{9x^4}\cdot \sqrt[3]{3x^8}\implies (9x^4)^{\frac{1}{3}}\cdot (3x^8)^{\frac{1}{3}}\implies 9^{\frac{1}{3}}\cdot x^{4\cdot \frac{1}{3}}\cdot 3^{\frac{1}{3}}\cdot x^{8\cdot \frac{1}{3}}[/tex]
[tex]\bf 9^{\frac{1}{3}}\cdot 3^{\frac{1}{3}}\cdot x^{\frac{4}{3}}\cdot x^{\frac{8}{3}}\implies (3^2)^{\frac{1}{3}}\cdot 3^{\frac{1}{3}}\cdot x^{\frac{4}{3}+\frac{8}{3}}\implies 3^{\frac{2}{3}}\cdot 3^{\frac{1}{3}}\cdot x^{\frac{12}{3}} \\\\\\ 3^{\frac{2}{3}+\frac{1}{3}}x^4\implies 3^{\frac{3}{3}}x^4\implies 3x^4[/tex]
Answer:
[tex]3x^4[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{9x^4} \cdot \sqrt[3]{3x^8}[/tex]
To simplify it we multiply all the terms inside the cube root
[tex]\sqrt[3]{9x^4} \cdot \sqrt[3]{3x^8}[/tex]
[tex]\sqrt[3]{9x^4 \cdot 3x^8}[/tex]
Now we apply exponential property
[tex]a^m \cdot a^m = a^{mn}[/tex]
[tex]x^4 \cdot x^8 = x^{12}[/tex]
[tex]\sqrt[3]{9x^4 \cdot 3x^8}[/tex]
[tex]\sqrt[3]{27x^{12}}[/tex]
Now we take cube root
[tex]\sqrt[3]{27}=3[/tex]
[tex]\sqrt[3]{x^{12}}=\sqrt[3]{x^3 \cdot x^3 \cdot x^3 \cdot x^3}=x^4[/tex]
[tex]\sqrt[3]{27x^{12}}[/tex]
[tex]3x^4[/tex]