Answer:
[tex]\large\boxed{\text{If is "or", then}\ x>-2\dfrac{1}{15}}\\\boxed{\text{If is "and", then}\ x>1\dfrac{9}{14}}[/tex]
Step-by-step explanation:
[tex]7x+\dfrac{3}{2}>13\qquad\text{multiply both sides by 2}\\\\14x+3>26\qquad\text{subtract 3 from both sides}\\\\14x>23\qquad\text{divide both sides by 14}\\\\x>\dfrac{23}{14}=1\dfrac{9}{14}\\=====================\\\\\dfrac{5}{2}x-\dfrac{1}{3}>-\dfrac{11}{2}\qquad\text{multiply both sides by 2}\\\\5x-\dfrac{2}{3}>-11\qquad\text{multiply both sides by 3}\\\\15x-2>-33\qquad\text{add 2 to both sides}\\\\15x>-31\qquad\text{divide both sides by 15}\\\\x>-\dfrac{31}{15}=-2\dfrac{1}{15}\\=====================[/tex]
Final answer:
To solve the compound inequality, each inequality is solved individually. The first inequality yields x > 1.64285714, and the second yields x > -2.06666667. As this is an 'or' compound inequality, the solution is the union of both, leading to x > 1.64285714.
Explanation:
To solve the compound inequality 7x + 3/2 > 13 or 5/2x - 1/3 > -11/2, we need to treat each inequality separately and then find the union of their solutions.
For the first inequality:
Subtract 3/2 from both sides to get 7x > 11.5.
Divide both sides by 7 to find x > 11.5/7, which simplifies to x > 1.64285714.
For the second inequality:
Multiply both sides by 6 to clear the fraction, leading to 15x - 2 > -33.
Add 2 to both sides to get 15x > -31.
Divide both sides by 15 to find x > -31/15, which simplifies to x > -2.06666667.
The solution is the set that satisfies at least one of these inequalities. Since x > 1.64285714 or x > -2.06666667, the overall solution is x > 1.64285714.
Tate has a bag of golf balls. 3 red 5 blue 2 yellow 2 green. What is the probability that he pulls out a blue one?
5/11 or 2.2 I believe you do this bye adding all them up and put the 5 as the numortor and 11 as the bottom
Answer:
1/22
Step-by-step explanation:
Given: ΔXYZ
AB is a midsegment parallel to XY. The slope of AB is
2
3
.
What is the slope of XY?
A) 0
B) -
2
3
C)
2
3
D) undefined
Answer:
C) 2/3Step-by-step explanation:
If AB is parallel to XY, then they have the same slope.
If the slope of AB is 2/3, then the slope of XY is 2/3 too.
The value of which of these expressions is closest to e ?
A. (1 + 1/14)^14
B. (1 + 1/12) ^12
C. (1 + 1/13)^13
D. (1 + 1/11) ^11
Answer:
It's A, Apex confirmed
Step-by-step explanation:
Answer:
the answer is A
Step-by-step explanation:
What is the expression (3x²y³) ³
Final answer:
The expression (3x²y³) ³ is found by cubing the coefficient and multiplying each variable's exponent by 3, which results in 27x⁶y⁹.
Explanation:
When we deal with the cubing of exponentials, as in the expression (3x²y³) ³, both the numerical coefficient and the variables with their exponents are raised to the power of 3. The rules of exponents guide us to cube the number 3 and multiply the exponents of x and y by 3.
To cube the number 3, we would calculate 3³, which equals 27. For the variables, we apply the exponent to each exponent: x raised to the 2³ (which is 6) and y raised to the 3³ (which is 9). Hence, the expression (3x²y³) ³ simplifies to 27x⁶y⁹. This demonstrates that when cubing an exponential expression, we obtain a new exponent for each variable by multiplying the original exponent by 3, and we cube the numerical coefficient as well.
2x + y = 3 x - 2y = -1 If equation two is multiplied by -2 and then the equations are added, the result is _____. -3y = 3 3y = 5 5y = 5
Answer:
5y=5
Step-by-step explanation:
Given equations
2x + y = 3 (i)
x - 2y = -1 (ii)
Multiplying equation (ii) by -2
Both sides of equation will be multiplies by -2.
-2(x-2y)= -2(-1)
The new equation will be
-2x+4y=2 => (iii)
Adding equation (iii) with equation (i), adding respective sides of both equations
(2x+y)+(-2x+4y)=3+2
2x+y-2x+4y=5
5y=5
So, after multiplying equation (ii) by -2 and then adding it to the first equation will give 5y=5
Answer:
[tex]5y=5[/tex]
Step-by-step explanation:
[tex]2x + y = 3[/tex]
[tex]x - 2y = -1[/tex]
If equation two is multiplied by -2, then the equation becomes
[tex]x - 2y = -1[/tex] times -2 becomes
[tex]-2x + 4y = +2[/tex]
Now we add both equations
[tex]2x + y = 3[/tex]
[tex]-2x + 4y = +2[/tex]
----------------------------------
[tex]0 + 5y = 5[/tex]
[tex]5y=5[/tex]
If f(12)=4(12)-20 which function gives f(x)
hope it helps you!!!!!!!!!!
Please help me. I desperately need to pass Math T-T
Answer:
60 degrees
Step-by-step explanation:
C = 2(pi)r
The radius is 12 cm. We can find the circumference of a circle with radius 12 cm.
C = 2(pi)r = 2(3.14)(12 cm) = 75.36 cm
The length of the arc of the sector is 12.56 cm.
We can find the fraction this length is of the full circumference.
(12.56 cm)/(75.36 cm) = 1/6
The length of the arc of this sector is 1/6 the length of the circumference of the entire circle.
That means the angle of the sector is 1/6 the angle of an entire circle.
An entire circle has a central angle of 360 degrees.
1/6 * 360 degrees = 60 degrees
picking a purple marble from a jar with 10 green and 10 purple marbles
Answer:
9 purple 10 green
Step-by-step explanation:
20 total- you have a 50 50 chance (50 percent) to get either color
Find x pleeeasssseee
the answer will beeeeeeeeeeeeeeeeee c
The answer to your question is b
A needle is 2 inches long. A piece of ribbon is 6 feet long. Which diagram and statement best represents their lengths?
The answer is D . The bottom right corner .
The diagram and statement that best represents their lengths is as follows:
The ribbon is 36 times as long as the needle.
LengthLength is use to identify the size of an object or the distance.
The needle is 2 inches long
The piece of ribbon is 6 feet long.
Let's convert the sizes to same unit to be able to compare them . Therefore,
12 inches = 1 ft
2 inches = ?
Therefore, 2 inches = 2 / 12 = 1 / 6 ft
Therefore, the ribbon is 36 times as long as the needle.
1 / 6 × 36 = 6 ftlearn more on length here: https://brainly.com/question/5870703?referrer=searchResults
List in order from least to greatest
Answer:-5/6 -1/6 5/3
A square sandbox in Trisha's backyard has an area of 81 square feet. Find x, the diagonal length of the sandbox.
9 × 9 would be the answer or just 9. Since 9 × 9 = 81. So, I believe you could put 9 if there is only one x spot but if there is 2 you can put 9 × 9. Hope this helps! c:
Answer:
12.7 feet
Step-by-step explanation:
no <3
Jolene invests her savings in two bank accounts, one paying 6 percent and the other paying 9 percent simple interest per year. She puts twice as much in the lower-yielding account because it is less risky. Her annual interest is 7266 dollars. How much did she invest at each rate?
Amount invested at 6 percent interest is $
Amount invested at 9 percent interest is $
Answer:
Amount invested at 6 percent interest is $69,200
Amount invested at 9 percent interest is $34,600
Step-by-step explanation:
Let the amount invested (or principal) at 6 percent interest be $2x
The principal(P) (amount invested) at 9 percent interest will be $x
Amount(A) = P(1 + rt)
Time(t) = one year = 1
Amount at 6% interest = 2x(1 + 0.06) = $2.12x
Interest accumulated = Amount - Principal = $2.12x - $2x = $0.12x
Amount at 9% interest = x(1 + 0.09) = $1.09x
Interest accumulated = Amount - Principal = $1.09x - $x = $0.09x
Total interest = $7,266
So, $0.12x + $0.09x = $7,266
$0.21x = $7,266
x = [tex]\frac{7,266}{0.21}[/tex] = $34,600
The principal (amount invested) at 9 percent interest rate is $34,600
The principal (amount invested) at 6 percent interest rate is 2 × $34,600 = $69,200
Helpppp show work please
So, input into distance formula to get ....
√(22-(-18))²+(0-9)²
√1600+81
√1681 is about 41.
Answer:
41 units
Step-by-step explanation:
Distance equation: Distance = √((x₁ - x₂)² + (y₁ - y₂)²), where (x₁, y₁) is one coordinate, and (x₂,y₂) is the other.
Plug in: √((-18 - 22)² + (9 - 0)²)
Add: √((-40)² + (9)²)
Exponents: √(1600 + 81)
Add: √1681
Square roots: ± 41
Domain: 41 units (negatives are not allowed)
What part of 5 3/5 is 7/10
Answer:
[tex]\frac{7}{10}[/tex] is [tex]\frac{1}{8}[/tex] of [tex]5\frac{3}{5}[/tex]
Step-by-step explanation:
step 1
we know that
To find what part of [tex]5\frac{3}{5}[/tex] is [tex]\frac{7}{10}[/tex], divide [tex]\frac{7}{10}[/tex] by [tex]5\frac{3}{5}[/tex]
but
First convert mixed number to an improper fraction
[tex]5\frac{3}{5}=\frac{5*5+3}{5}=\frac{28}{5}[/tex]
so
substitute
[tex]\frac{(7/10)}{(28/5)}=\frac{7}{56}=\frac{1}{8}[/tex]
therefore
[tex]\frac{7}{10}[/tex] is [tex]\frac{1}{8}[/tex] of [tex]5\frac{3}{5}[/tex]
10 points One question NEED TO SHOW WORK
Answer:
h = 3πx
Step-by-step explanation:
The volume (V) of the cylinder is calculated using the formula
V = πr²h ( r is the radius and h the height )
V = π × x² × 3x = 3πx³
The volume of the cuboid therefore has volume of 3πx³, that is
x × x × h = 3πx³
x²h = 3πx³ ( divide both sides by x² )
h = 3πx³ ÷ x² = 3πx
Evaluate 2x^-4y for x = 2 and y = 4. -64 1/8 1/2
ANSWER
[tex] \frac{1}{2} [/tex]
EXPLANATION
The given expression is;
[tex]2 {x}^{ - 4} y[/tex]
We want to find the value of this expression when x=2 and y=4.
We substitute to get,
[tex]2 {(2)}^{ - 4} (4) [/tex]
[tex]8 \times {2}^{ - 4} [/tex]
Recall that
[tex] {a}^{ - m} = \frac{1}{ {a}^{m} } [/tex]
This implies that,
[tex]8 \times {2}^{ - 4} = 8 \times \frac{1}{ {2}^{4} } [/tex]
[tex]8 \times {2}^{ - 4} = 8 \times \frac{1}{16 } = \frac{1}{2} [/tex]
Answer:
Step-by-step explanation:
Joey can put together 4 budgets in 2 minutes. What is the unit rate for one burger?
30 seconds/per burger
Answer:
30 seconds
Step-by-step explanation:
4 burgers in 2 mins
1 burger
= 2 ÷ 4
= 0.5 min
= 30 seconds
Please Answer Attachment Below Thanks
Answer:
Step-by-step explanation:
The interior angles of a heptagon add up to 5*180 = 900
So
x + 143 + 116 + 135 + 135 + 116 + 155 = 900 Add up the known angles
x + 800 = 900 Subtract 800 from both sides
x + 800 - 800 = 900 - 800 Combine
x = 100
Enter the number that belongs in the green box
Answer:
x=96°
y=96°
Step-by-step explanation:
y=84° because of vertical angles. the measure of all 4 angles added together is 360°, so we add the 84° and the other 84° angle, and subtract them from 360° to get the sum of the other two angles
360°-(84°+84°)=192°
divide 192° by 2 to get the measure of one angle
therefore, x=96°
Answer:
x = 96 and y = 84
Step-by-step explanation:
Given
A Point
Angles x,y and 84 degrees
Required
Find x and y
First, we should note that angle x and 84 degrees are supplementary.
Two angles are said to be supplementary if they add up to 180 degrees
i.e. x + 84 = 180
x + 84 = 180
Make x the subject of formula
x = 180 - 84
x = 96
In the similar vein, angle x and y are supplementary.
so, x + y = 180
Substitute 96 for x
So, we have
96 + y = 180
make y the subject of formula
y = 180 - 96
y = 84
Hence, x = 96 and y = 84
NEED ANSWER ASAP
the expression below is the factor of what trinomial -6(x+6)(x+7)
Answer:
[tex]-6x^{2}-78x-252[/tex] or [tex]-(6x^{2}+78x+252)[/tex]
Step-by-step explanation:
we have
[tex]-6(x+6)(x+7)[/tex]
Applying distributive property
[tex]-6(x+6)(x+7)=-6[x^{2}+7x+6x+42]\\=-6[x^{2} +13x+42]\\=-6x^{2}-78x-252\\=-(6x^{2}+78x+252)[/tex]
These prisms are similar. Find the surface area of the larger prism in decimal form.
Answer:
176.4
Step-by-step explanation:
1.) 7/5 = surface area/90 = (7/5)^2 = 49/25
2.) sa/90 = 49/25
3.) 4,410/25a
Surface area is 176.4
Answer:
176.4
Step-by-step explanation:
Does anyone know the answer??
Answer:
C
Step-by-step explanation:
Use the Pythagorean Theorem.
[tex]a^2+b^2=c^2 \\ \\ 100^2+b^2=125^2 \\ \\ 10000+b^2=15625 \\ \\ b^2=5625 \\ \\ b=\sqrt{5625} \\ \\ b=75[/tex]
i’ll mark brainliest please help
Answer:
False
Step-by-step explanation:
The distance between two points is found by
d = sqrt((y2-y1)^2 + (x2-x1)^2)
= sqrt( (4-7)^2 + (6-2)^2)
=sqrt( 3^2 +4^2)
= sqrt(9+16)
=sqrt(25)
= 5
Answer:
False
Step-by-step explanation:
Because....
[tex]\sqrt[]{(6-2)^2+(4-7)^2}[/tex][tex]\sqrt{(4)^2 +(-3)^2}[/tex][tex]\sqrt[]{16+9}[/tex][tex]\sqrt{25}[/tex] ≈ 5 NOT 6 units* Hopefully this helps:) Mark me the brainliest:)!!!
∞ 234483279c20∞
Find the height of a prism if the base is a right triangle with legs 3 inches and 5 inches, and the volume of the prism is 150 cubic inches
Answer:
the height is 20 inches
Step-by-step explanation:
Answer: 20 inches
Step-by-step explanation:
This is a triangular prism, we first need to find the area of the triangle!
A (triangle) = 1/2 x base of triangle x height of triangle
A = 1/2 x 3 x 5 = 7.5 square inches
Now lets work out the height of the prism, we can use the volume of the prism to do so.
V = Area of triangle x height
150 = 7.5 x height
Height = 150/7.5 = 20 inches
ILL MARK YOU AS BRAINLIEST, RATE YOU A 5, AND THANK YOU! 70 POINTS!
what is the surface area of this rectangular prism? i-ready
Answer:
290 in²Step-by-step explanation:
From the net:
S.A. = 2(25 in²) + 4(60 in²) = 50 in² + 240 in² = 290 in²
From the model:
The formula of a Surface Area of a rectangular prism:
S.A. = 2(lw + lh + wh)
l - length
w - width
h - height
We have l = 5 in, w = 5 in, and h = 12 in. Substitute:
S.A. = 2(5 · 5 + 5 · 12 + 5 · 12) = 2(25 + 60 + 60) = 2(145) = 290 in²
Answer: 290 in.^2
Step-by-step explanation: Just did on iready. Hope i helped! (:
Please help me! I do not understand one of the questions and it would be outstanding if you could help me! I'm sorry if I seem a little desperate, I've been working on this quiz for the past hour.
Dan wants to arrange his red, blue, and green bags in a row on a shelf, where R is red, B is blue, and G is green. Which tree diagram best shows the sample space of all the possible ways to arrange the three bags in a row on a shelf?
Option one: A tree diagram is shown. The lines branch out to R, B, and G. In the first row, the lines branch out from R to B to G and from R to G to R. In the second row, the lines branch out from B to R to G and from B to G to B. In the last row, the lines branch out from G to R to B and from G to B to R.
Option two: A tree diagram is shown. The lines branch out to R, B, and G. In the first row, the lines branch out from R to B to B and from R to G to B. In the second row, the lines branch out from B to R to B and from B to G to R. In the last row, the lines branch out from G to R to B and from G to B to R
Option three: A tree diagram is shown. The lines branch out to R, B, and G. In the first row, the lines branch out from R to B to G and from R to G to B. In the second row, the lines branch out from B to R to G and from B to G to B. In the last row, the lines branch out from G to R to B and from G to B to G.
Option four: A tree diagram is shown. The lines branch out to R, B, and G. In the first row, the lines branch out from R to B to G and from R to G to B. In the second row, the lines branch out from B to R to G and from B to G to R. In the last row, the lines branch out from G to R to B and from G to B to R.
Thank you in advanced for helping me, it really means a lot. I don't know where I would be without you all, thank you! <3
See the attached image. The tree should consist of paths (left-to-right) that exhaust all the possible arrangements. 3 choices for the first bag (R, G, or B), 2 choices for the second (color availability depends on the first bag), and 1 for the third (again dependent on previous color), so there are [tex]3\cdot2\cdot1=3!=6[/tex] possible arrangements/permutations.
Answer: It's option 4
Step-by-step explanation: Let me fill you in on a trick I learned and why this is right so... every time you see a tree diagram like this you have to make sure that each letter across from each other match EX. P Q
Q P
See how p and p match across from each other that means it's correct here's why because each time you have a tree diagram you have EX. Q P but now you have to find another way you can make it and another way is to flip it when EX. Q P now if you flip it...
P Q
Now if you do this the letters end up matching every time which is how you know it's correct.
I know this looks long but its actually an easy trick to understand I hope you get what I'm saying hope this helps have a good day !
what is the slope of (2 , -2) (0,4)
Answer:
-3
Step-by-step explanation:
The slope for two points is found by
m = (y2-y1)/(x2-x1)
= (4--2)/(0-2)
= (4+2)/(0-2)
= (6/-2)
=-3
Answer:
The slope is -3
Step-by-step explanation:
[tex]\frac{y}{x}[/tex]
You do the change in y over the change in x
[tex]\frac{-2 - 4}{2 - 0}[/tex]
which equals
[tex]\frac{-6}{2} = -3[/tex]
Please help:):):) Your awesome
Answer:
Q1: 11x - 8
Q2: 2x + 10
Q3: -3v + 12
Answer:
Q1: 11x + 8
Q2: 2x + 10
Q3: 3v - 12
if y varies directly as z and inversely as x and y=16 and z=2 when x=42, find y when x=14 and z=8
*Edit* It's high school math. Forgot to change it from middle.
Answer:
y = 192
Step-by-step explanation:
Given y varies directly as z and inversely as x then the equation relating them is
y = [tex]\frac{kx}{z}[/tex] ← k is the constant of variation
To find k use the condition y = 16 and z = 2 when x = 42
k = [tex]\frac{yx}{z}[/tex] = [tex]\frac{16(42)}{2}[/tex] = 336
y = [tex]\frac{336z}{x}[/tex] ← equation of variation
When x = 14 and z = 8, then
y = [tex]\frac{336(8)}{14}[/tex] = 192