Hello.
-7h + 2(-4h + 5) > -4h + 1 + 10 ; solve for h
Our first step is to get rid of all the parenthesis. We can do this by simplifying everything out.
-7h - 8h + 10 > -4h + 11
Add like terms.
-15h + 10 > -4h + 11
Now, we must isolate our variables. We do this by moving all variables to one side and moving our other numbers to the other.
Subtract 10 from both sides. Then, add 4h to both sides.
-15h + 4h > 11 - 10
Simplify.
-11h > 1
Divide both sides by -11.
However, keep in mind that when dividing with a negative, you must change the sign. Therefore, > turns into <
-11h ÷ -11 < 1 ÷ -11
h < 1/-11
Therefore, h < -1/11
We are given with an inequality and we need to solve for h . So let's start
[tex]{:\implies \quad \sf -7h+2(-4h+5)> -4h+1+10}[/tex]
[tex]{:\implies \quad \sf -7h-8h+10> -4h+11}[/tex]
[tex]{:\implies \quad \sf -15h+10> -4h+11}[/tex]
Add 4h to both sides
[tex]{:\implies \quad \sf -15h+10+4h> \cancel{-4h}+11+\cancel{4h}}[/tex]
[tex]{:\implies \quad \sf -11h+10> 11}[/tex]
Subtracting 10 from both sides ;
[tex]{:\implies \quad \sf -11h+10-11> \cancel{11}-\cancel{11}}[/tex]
[tex]{:\implies \quad \sf -11h-1> 0}[/tex]
Adding 1 to both sides
[tex]{:\implies \quad \sf -11h-\cancel{1}+\cancel{1}> 1}[/tex]
[tex]{:\implies \quad \sf -11h>1}[/tex]
Now dividing both sides by -11 also , when we divide or multiply an inequality by a -ve , we changes the sign too. So ;
[tex]{:\implies \quad \sf \dfrac{-11h}{-11}< -\dfrac{1}{11}}[/tex]
[tex]{:\implies \quad \sf h< -\dfrac{1}{11}}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{h\in \left(-\infty ,-\dfrac{1}{11}\right)}}}[/tex]
find the product of 3 and 2y-4x=8
Answer:
Step-by-step explanation:
3 * (2y - 4x) = 8
6y - 12x = 8
divide by 2 throughout
3y - 6x = 4
-6x + 3y -4 = 0
To find the product of 3 and the expression 2y - 4x, we multiply both sides of the equation by 3, resulting in 6y - 12x = 24.
The student's question asks us to find the product of 3 and the expression 2y - 4x = 8. Multiplying both sides of the equation by 3 we get:
3 * (2y - 4x) = 3 * 86y - 12x = 24The product of 3 with each term on the left side of the equation has been calculated, resulting in a new equation: 6y - 12x = 24. It is important to carry out the multiplication operation carefully, ensuring that each term within the parentheses is multiplied by 3.
Which expression represents five less than the square of one more than a number?
(x + 1)2 - 5
5 - (x + 1)2
(x²+ 1) - 5
5-(x²+1)
Answer:
(x+1)² - 5
Step-by-step explanation:
one more than a number: x+1
the square of that (x+1)²
five less than that (x+1)² - 5
A triangle has a base of 5 centimeters and a height of 8 centimeters.
What is the area of the triangle?
A. 10 cm2
B. 13 cm2
C. 20 cm2
D. 40 cm2
Answer:
C. 20 cm^2 is the area. Hope this helped you.
Answer: c. 20
Step-by-step explanation:
The formula to finding a triangle is base times height over 2.
5 x 8/ 2=
40/2=
20
How do the graphs of f(x)=x^2 and g(x)=3/4x^2
Easily putting the equation into Google, I found a graph for you! :)
Answer:
the answer is b.
the graph of g(x) is the graph of f(x) compressed vertically by a factor of 3/4
Step-by-step explanation:
why? bc i did the review
n a drawer, there are 12 pairs of socks, 6 of which are white. If you randomly select two pairs of socks, what is the probability that both are white? Express your answer as a reduced fraction.
The probability that both pairs of socks selected from a drawer containing 12 pairs, 6 of which are white, are white, is 5 out of 22.
Explanation:The subject of this question is the probability in mathematics, specifically dealing with combinations. In the problem, there are 12 pairs of socks and 6 of them are white. When we are drawing two pairs, we want both to be white which defines our event space.
To find the answer, we need to divide the number of favorable outcomes by the total number of outcomes. The favorable outcome is the probability of choosing 2 white socks out of 6 which can be calculated by combinations (represented by the formula C(n, k) = n! / [k!(n - k)!]). So, C(6, 2) = {6! / [2!(6 - 2)!]} = 15.
The total number of outcomes is the number of ways to pick 2 pairs out of 12, calculated by combinations as well, C(12, 2) = {12! / [2!(12 - 2)!]} = 66.
Now, the probability is favorable outcomes divided by total outcomes = 15/66 = 5/22.
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HELP PLEASE be QUICK
Answer:
C=62.83
Step-by-step explanation:
C=2πr
Radius= Diameter/2
C=2π(10)
C=62.83
Is 6/10 greater than 1/2
Answer:
No 1/2 is greater
Step-by-step explanation:
1:look at both 1/2 and 6/10
2: see which one gets to the denominator first
3: which ever one it is will be greater
4:the answer is 1/2 because if you add one more to 1/2 you get 2/2
MULTIPLE CHOICE:
if the solution to an inequality is t < 7.4, which of the numbers below would be part of the solution?
O4.7
O5.1
O7.4
O8.2
O9.6
Answer:
4.7 and 5.1
Step-by-step explanation:
7.4 only works if it shows less than or equal to inequality
What values of b satisfy 3(2b + 3)2 = 36?
b = StartFraction negative 3 + 2 StartRoot 3 EndRoot Over 2 EndFraction and StartFraction negative 3 minus 2 StartRoot 3 EndRoot Over 2 EndFraction
b = StartFraction negative 3 + 2 StartRoot 3 EndRoot Over 2 EndFraction and StartFraction negative 3 minus 2 StartRoot 3 EndRoot Over 2 EndFraction
b = StartFraction 3 Over 2 EndFraction and StartFraction negative 9 Over 2 EndFraction
b = Start Fraction 9 Over 2 EndFraction and StartFraction negative 3 Over 2 EndFraction
Answer: b=-3+2√3/2
-3-2√3/2
Step-by-step explanation: it's A on edg
The value of b which satisfies the given quadratic equation is both: A. b = (-3 + 2√3)/2 and (-3 - 2√3)/2.
How to solve a quadratic equation?
In this exercise, you're required to solve for the value of b which satisfies the given quadratic equation. Thus, we would simplify the quadratic equation as follows:
3(2b + 3)² = 36
Dividing both sides by 3, we have:
(2b + 3)² = 12
Taking the square root of both sides, we have:
2b + 3 = ±√12
2b + 3 = ±√4 × √3
2b + 3 = ±2√3
2b = -3 ± 2√3
b = (-3 + 2√3)/2 and (-3 - 2√3)/2.
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PLEASE HELP
BRAINLIEST
Find the value of x in the figure.
Answer:
x = 27
Step-by-step explanation:
Using the information in the figure, we can conclude that the 3x - 17, x + 40, and 2x - 5 would be the measures of the three interior angles of the triangle. The sum of the interior angles of a triangle is 180° (use the equation: (n-2) × 180°).
By using this information, we can conclude that (3x - 17) + (x + 40) + (2x - 5) would equal 180. We can put this into the equation:
(3x - 17) + (x + 40) + (2x - 5) = 180
To find the value of x in this equation (solve for x), we would have to get the equation into the form x = _.
(3x - 17) + (x + 40) + (2x - 5) = 180
3x - 17 + x + 40 + 2x - 5 = 180
Combine like terms.
6x + 18 = 180
Subtract 18 from both sides to get rid of the +18 on the left side.
6x = 180 - 18
Simplify.
6x = 162
Divide 6 form both sides to get rid of the coefficient of 6 on the left side.
x = 162 ÷ 6
Simplify.
x = 27
x = 27
I hope this helps. :)
________+ 1 1/10=3 1/2
Answer: 12/5 or 2 2/5
Step-by-step explanation:
From the question: ________+ 1 1/10=3 1/2
Let the missing value be x
Convert the improper fraction to proper fraction
1 1/10 = 11/10
3 1/2= 7 /2
Therefore, x + 11/10 = 7/2
Subtract both sides of the equation by 11/10 to get the value of x
x + 11/10 - 11/10 = 7/2 - 11/10
x = 24/10
x = 12/5 or 2 2/5
Answer:
2.4 or 2 2/5
Step-by-step explanation:
1. Creating the Equation
This problem is meant to have you work backwards from the information given. In this case, there is no reason to organize information, as this is not a word problem.
Instead, a simpler approach would be to replace the blank space with the variable x.
Once x replaces the blank space, the equation should appear as shown:
x + 1 1/10 = 3 1/2
2. Solving for x
Now that the equation was created, use the order of operations to solve for x.
Firstly, convert all the mixed numbers into improper fractions to simplify the solving process.
x + 11/10 = 7/2
Next, convert the 7/2 fraction into the same denominator as the 11/10 fraction. To do this, multiply both the numerator and the denominator by 5/5.
x + 11/10 = 7/2
x + 11/10 = 5/5(7/2)
x + 11/10 = 35/10
Finally, subtract the 11/10 fraction from both sides of the equation to find the solution to x.
x + 11/10 = 35/10
x + 11/10 - 11/10 = 35/10 - 11/10
x = 24/10
x = 2 4/10
(Simplify the fraction if needed)
x = 2 2/5
As said earlier, x was meant to represent the final answer.
x + 1 1/10 = 3 1/2
x = 2 2/5
2 2/5 + 1 1/10 = 3 1/2
A gray wolf's sperm contains
39 chromosomes. He mates with a female gray wolf.
How many chromosomes will there be in the resulting zygote?
Answer:
The resulting zygote will have 78 chromosomes.
Step-by-step explanation:
The sperm and eggs are the sex cells of animals. These cells contain half the number of chromosomes compared to the number of chromosomes present in the somatic cell of that particular organism.
When the sperm and the egg cell unite to form a zygote, the 39 chromosomes in the wolf's sperm and the 39 chromosomes in the female wolf's egg will add up to male 78 chromosomes in the zygote.
In the process of sexual reproduction in wolves, each parent contributes 39 chromosomes. So, a zygote formed from the sperm of a male wolf and the egg of a female wolf will contain a total of 78 chromosomes.
Explanation:The concept is related to the process of sexual reproduction in mammals, which includes wolves. Since the process of sexual reproduction involves the combination of both parents' genetic material, each parent contributes half the total number of chromosomes in a zygote.
In the case of a gray wolf, the sperm contains 39 chromosomes. Therefore, the egg from the female gray wolf will also contain 39 chromosomes. When the sperm and egg meet during fertilization, they combine to form a zygote containing a total of 78 chromosomes — 39 from the male and 39 from the female.
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if measure angle MPL=63 HOW COULD I FIND THE OTHERS?
answer:
JK = 27
NJ = 153
JL = 117
KNM = N/A
MJL = N/A
JLK = N/A
step-by-step explanation:
you can see there are pairs of vertical angles which means they would be equalremember a circle adds up to 360the arc's measure and the angle's measure would be equalsince we know ∠MPL is 63°, and ∠KPL is 90°, we can find the others too∠NPM + ∠MPL = 90
∠NPM + 63 = 90
∠NPM = 27°
so, ∠JPK = 27° (since they are vertical angles)
now, add up all the ones you know to find the other angle63 + 90 + 27 + 27 + X = 360
let x be the missing angle63 + 90 + 27 + 27 + X = 360
207 + X = 360
X = 153
so, ∠JPN = 153°
now put the measures of the arcsARCS:
JK = 27
NJ = 153
JL = 117
KNM = N/A
MJL = N/A
JLK = N/A
- sorry this is the furthest i can help, i have only learnt up to that so do not know how to find the rest.
using the relationship between intercepted arc and central angle, the missing measures are:
a. m(JK) = 27°
b. m(NJ) = 153°
c. m(JL) = 117°
d. m(KNM) = 207°
e. m(MJL) = 297°
f. m(JLK) = 333°
Central Angle and measure of Intercepted ArcThe central angle is always equal to the measure of the intercepted arc.A full circle = 360 degrees.Half circle = 180 degrees.Given:
m∠MPL = 63°
a. m(JK) = 180 - 90 - 63 = 27°
m(JK) = 27°
b. m(NJ) = 180 - m(JK)
m(NJ) = 180 - 27
m(NJ) = 153°
c. m(JL) = 90 + 27
m(JL) = 117°
d. m(KNM) = 180 + 27
m(KNM) = 207°
e. m(MJL) = 27 + 180 + 90 = 297°
f. m(JLK) = 360 - 27
m(JLK) = 333°
Therefore, using the relationship between intercepted arc and central angle, the missing measures are:
a. m(JK) = 27°
b. m(NJ) = 153°
c. m(JL) = 117°
d. m(KNM) = 207°
e. m(MJL) = 297°
f. m(JLK) = 333°
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An oblique prism has a base area of 3x2 square units.
An oblique prism has a base area of 3 x squared square units. The base of the prism is a quadrilateral. The distance from the top quadrilateral to the bottom quadrilateral is 13. A right triangle is drawn outside of the prism and has the side with length 13 as its hypotenuse. The base length of the triangle is 5.
What expression represents the volume of the prism, in cubic units?
Answer:
36x²
Step-by-step explanation:
i just did it on edge 2020
The volume of the oblique prism can be calculated by multiplying the base area by the height of the prism.
Explanation:The volume of an oblique prism can be calculated by multiplying the area of its base by its height. In this case, the base area is given as 3x2 square units, and the height of the prism is 13 units. Therefore, the expression that represents the volume of the prism is 3x2 * 13 = 39x2 cubic units.
which expression is a factor of the quadratic 6x^2-11x-35?
2x-7, 2x-5, 2x+7, 2x+5
1. Split the second term in 6x^2 - 11x - 35 into two terms
6x^2 + 10x - 21x - 35
2. Factor out common terms in the first two terms, then in the last two terms
2x(3x + 5) - 7(3x + 5)
3. Factor out the common term 3x + 5
(2x - 7)
Split the second term in 6x^2 - 11x - 35 into two terms
6x^2 + 10x - 21x - 35
2. Factor out common terms in the first two terms, then in the last two terms
2x(3x + 5) - 7(3x + 5)
3. Factor out the common term 3x + 5
(2x - 7)
Can anyone help me with this math and explain how you got it if you can? If not just the answer and the number to the question.
Which is the greatest risk when investing in stocks? A. call risk B. inflationary risk C. interest rate risk D. liquidity risk E. market risk
Answer:
E. market risk
Step-by-step explanation:
When investing in stock, an investor should be aware of three key risks which are;
The market riskThe Inflation risk Liquidity riskMarket risk involves loses that are as result of entire performance of financial markets. Examples are stock market bubbles.Inflation risk is concerned with cash used for an investment, where changes in power to purchase may cause inflation risk.Liquidity risks happens when an investor is unable to sell or buy earlier enough to prevent losses.
The correct option is E. market risk
The information regarding the market risk is as follows;
It includes the losses that leads to the overall performance of the financial markets like - stock marketSo we can say that the market risk termed to the high risk at the time of investing in the stock.Learn more: brainly.com/question/17429689
Which expression is evaluated to -18-64
Answer:
-82
Step-by-step explanation:
-18 - 64
-82
Answer: -82
Jay earns $2,500 a month. He pays
$850 a month to rent an apartment
What percent of Jay's income does
he pay for rent?
Answer: 34%
Step-by-step explanation: 2,500 - 34% = 850 the remaining 76% equals 1,650
1. Express 4 factors of -20: (-20%)(-2)(-20)(-28)
2. Expand the expression:
-2.-2.-2.-2..0.0.
3. Simplify to the exponential form: (-2)4. (4574
4. Evaluate the base 2 power: 16. (054
5. Apply the power of a power: 162"
What is the value of x in the simplified power? x=
The value of x in the simplified power is 20.
Solution:
Given expression: [tex]\left(-2 d^{5}\right)^{4}[/tex]
Step 1: Express 4 factors of [tex]-2 d^{5}[/tex]
[tex]\left(-2 d^{5}\right)\left(-2 d^{5}\right)\left(-2 d^{5}\right)\left(-2 d^{5}\right)[/tex]
Step 2: Expand the expression
[tex]-2 \cdot-2 \cdot-2 \cdot-2 \cdot d^{5} \cdot d^{5} \cdot d^{5} \cdot d^{5}[/tex]
Step 3: Simplify to the exponential form
There four -2 terms and four [tex]d^5[/tex] terms.
[tex](-2)^{4} \cdot\left(d^{5}\right)^{4}[/tex]
Step 4: Evaluate the base 2 power.
[tex](-2)^{4}=16[/tex]
[tex](-2)^{4} \cdot\left(d^{5}\right)^{4}=16 \cdot\left(d^{5}\right)^{4}[/tex]
Step 5: Apply the power of a power.
Using exponent rule: [tex](a^m)^n=a^{mn}[/tex]
So that [tex]\left(d^{5}\right)^{4}=d^{5\times4}=d^{20}[/tex]
[tex]16 \cdot\left(d^{5}\right)^{4}=16d^{20}[/tex]
[tex]16 d^{x}=16 d^{20}[/tex]
⇒ x = 20
The value of x in the simplified power is 20.
Simplify the expression.
t+2+6t
=
Answer:
7t+ 2
Step-by-step explanation:
(12+4) divided by (11-7)
pemdas order of operations
Answer:
4
Step-by-step explanation:
[tex]\frac{12+4}{11-7} =\frac{16}{4} =4[/tex]
Anna baked 333 batches of cookies with ccc cookies in each batch. She then ate 888 cookies!
How many cookies does Anna have left?
Hello friend!
If each batch has three cookies (which I suppose is what the "ccc" means,
Your quick answer is 111. :)
If Anna has baked 333 batches of cookies and each batch has three cookies, then 333 multiplied by 3 is 999. If Anna ate 888 cookies then 999 minus 888 is 111.
Take care friend!
-Edge
Answer:
3c-8
Step-by-step explanation:
Please help I appreciate it
Answer:
A
Step-by-step explanation:
g(x) got smaller
A - makes it thinner
B & C - move it to the left or right
D- makes it wider
Answer:
Step-by-step explanation:
#1 I
#2 D
#3 K
If the trapezoid below is reflected across the x-axis, what are the coordinates
of B?
A. (4-8)
B.(-4,-8)
C. (-4,8)
D. ( -8,-4)
As you may have intentionally forgotten to add the diagram. The diagram of the trapezoid is attached below.
Answer:
The point B(4, 8) after reflection across x-axis would be B'(4, -8).
B(4, 8) → B'(4, 8)
Step-by-step explanation:
The rule of reflection across the x-axis states that a reflection of a point, let say M(x, y), across the x-axis does not change the value of x-coordinate but changes the sign of the y-coordinate of the point.
In a nutshell,
The point M(x, y) after reflection across x-axis would be M'(x, -y)
M(x, y) → M'(x, -y)
From the diagram attached below, the coordinate of point B is (4, 8).
So, according to the rule of reflection across the x-axis, the coordinates of the image of the point B (4, 8) after the reflection across the x-axis will be B'(4, -8).
i.e.
The point B(4, 8) after reflection across x-axis would be B'(4, -8).
B(4, 8) → B'(4, 8)
The point (x, y) is the top of a polygon. Which point would it map to if the polygon were reflected over the x-axis and then translated 5 units down?
A) (x, y+5)
B) (x,-y-5)
C) (-x+5, -y)
D) (-x, -y+5)
Answer:
it´s b for sure
Step-by-step explanation:
The coordinates of the transformed point is (x,-y-5), the correct option is B.
What is Reflection of an object?The reflection of an object refers to creating a mirror image of the object, similar in shape and size, just the coordinates are switched.
When a point is reflected over an axis, the coordinate of the other axis changes to its additive inverse.
The coordinates (x,y) when reflected over x axis change to (x,-y)
The polygon is reflected over x axis
then the coordinate ( x,y) will become (x,-y)
After translation, 5 units down, the coordinate change to
( x, -y-5)
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What is the decimal 89.023 in word and expanded form
Answer: Eighty Nine and Twenty Three Thousandths
Step-by-step explanation:
Answer:
eighty-nine and twenty-three thousandths <------ word form
80 + 9 + 0.02 + 0.003 <------ expanded form
A passenger on a ship dropped his camera into the ocean. If it is descending at a rate of -4.2 meters per second, how long (in seconds) until it hits the bottom of the ocean, which is at -1875 meters? Round to the nearest second.
The hypotenuse of a 45°-45°-90° triangle measures 22 StartRoot 2 EndRoot units.
A right triangle is shown. The length of the hypotenuse is 22 StartRoot 2 EndRoot 2 units. The lengths of the other 2 sides are congruent.
What is the length of one leg of the triangle?
11 units
11 StartRoot 2 EndRoot units
22 units
22 StartRoot 2 EndRoot units
Length of the other leg is 22 units
Step-by-step explanation:
Step 1: The length of the other legs can be found using Pythagoras Theorem given hypotenuse = 22√2. Let the sides be x.Hypotenuse² = x² + x²
(22√2)² = 2x²
⇒ x² = 22 × 22 × 2/2 = 22 × 22
∴ x = 22 units
Answer:
C
Step-by-step explanation:
2 triangles are shown. Line M N is the line of reflection. Line segment X prime X has a midpoint at point A. Line segment Z prime Z has a midpoint at point B. Line segment Y prime Y has a midpoint at point C. Which statements must be true about the reflection of ΔXYZ across Line M N? Select three options. m∠X'Z'Y' = 90° m∠MCY = 90° XX' ≅ YY' BZ' ≅ BZ XY || X'Y'
The statements that are true with respect to the reflection of Δ XYZ are:
Option A - m∠X'Z'Y' = 90°
Option B - m∠MCY = 90° and
Option D - BZ' ≅ BZ.
What is the reflection in math?Geometrically speaking, reflection in math simply refers to a flip image of a shape, all dimensions remaining the same.
When every point in a figure is equidistant from it's equivalents points on the mirror image, both images are said to be a reflection of one another.
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Answer:
A, B, D
Step-by-step explanation:
edge 2022