Answer:
x ≤ 3
Step-by-step explanation:
2(4+2x)≥5x+5
8+4x≥5x+5
4x-5x≥5-8
-x≥-3
x ≤ 3
[tex]\tt\displaystyle\2(4+2x)\geq 5x+5\\\\8+4x\geq 5x+5\\\\4x-5x\geq 5-8\\\\-x\geq -3\\\\x\leq 3 \\\\Answer: x\leq 3 \quad or \quad x\in(-\infty;3][/tex]
i desperately need help with this one as well omg.. and i think it also needs a quadratic formula
Hello,
[tex]Formula:\ y=k*a^x+b\\\\ \lim_{x \to -\infty} y=-3 \Longrightarrow -3=k*a^{-\infty}+b=0+b \Longrightarrow b=-3\\\\if \ x=0\ then\ y=-2 \Longrightarrow -2=k*a^0-3 \Longrightarrow k=1\\\\if \ x=1\ then\ y=3 \Longrightarrow 3=a^1-3 \Longrightarrow a=6\\\\\boxed{y=6^x-3}\\[/tex]
Solve, (-10)-(-2)^3-(-2)x(-11)
Answer:
−10−1(−2)^3−1(−2)(−11)
● −10−1(−8)−1(−2)(−11)
●−10+8−1(−2)(−11)
●−10+8−22
●−10+8−22
☆Answer:-24
○●○●○●○●○●○
Hope it helps
Have a great day!!
Tomaz realized that the tip of a second hand on a clock rotates about the center of the clock. He watched the second hand rotate around the center of the clock for 15 seconds. Which describes the rotation he observed?
270 degrees clockwise rotation
90 degrees clockwise rotation
180 degrees rotation
90 degrees counterclockwise rotation
Answer:
Step-by-step explanation:
Second hand on a clock rotates at rate 360 degrees per 60 seconds.
360 degrees - 60 sec
x degrees - 15 sec
90 clockwise rotation (none hand of a clock rotates counter-clockwise :))
Answer:
90 degrees clockwise rotation
Step-by-step explanation:
A softball pitcher has a 0.507 probability of throwing a strike for each pitch. If the softball pitcher throws 15 pitches, what is the probability that exactly 8 of them are strikes? Insert the correct symbol to represent this probability.
Answer:
The probability that the pitcher throws exactly 8 strikes out of 15 pitches is approximately 0.199
Step-by-step explanation:
The given probability that the pitcher throws a strike, p = 0.507
The number of pitches thrown by the pitcher = 15 pitches
The probability that the pitcher does not throw a strike, q = 1 - P
∴ q = 1 - 0.507 = 0.493
By binomial theorem, we have;
[tex]P(X = r) = \dbinom{n}{r}p^{r} \cdot q^{n-r}= \dbinom{n}{r}p^{r} \cdot \left (1-p \right )^{n-r}[/tex]
When X = r = 8, and n = 15, we get;
The probability that the pitcher throws exactly 8 strikes out of 15 pitches, P(8), is given as follows
P(8) = ₁₅C₈ × 0.507⁸ × (1 - 0.507)⁽¹⁵ ⁻ ⁸⁾ = 6,435 × 0.507⁸ × 0.493⁷ ≈ 0.199
Each side of a square office is 3 meters long. It will cost $44.14 per square meter to replace
the carpet in the office. What would be the total cost to replace the carpet?
Answer:
3*3*44.14$
That's the answer
Use a calculator
A plane travels at a speed of 213 miles per hour.
Work out an estimate for the number of seconds the plane takes to travel 1 mile.
Answer:
0.28 seconds
Step-by-step explanation:
To solve, I usually set up an equation.
miles = 213 = 1
sec 60 x
Then use cross multiplication.
213x=60
Divide both sides by 213
x=0.281690141
If you are supposed to round, round.
Hope this helps!
Answer:Hope this helps.
Step-by-step explanation:
It is a special kind of segment, ray, or line that intersects a given segment at a 90∘ 90 ∘ angle, and passes through the given segment's midpoint.
Answer:
Perpendicular bisector
Step-by-step explanation:
Given
The above statement
Required
What describes the given statement?
The term that describes the given statement is the perpendicular bisector.
This is so because:
- The perpendicular bisector passes through midpoints
- The point of intersection is at the [tex]90^o[/tex]
please help
thank you!
have a nice day!
Answer:
From left to right:
The first one is 2
The second one is 1/2
The third one is 2
The fourth one is 1
Step-by-step explanation:
One triangle has an angle of 81 degrees and the corresponding angle of the other triangle is 2x - 5 degrees, find the value of x?
Answer:
[tex]x=43[/tex]
Step-by-step explanation:
Corresponding angles are equal. It is implied that the two angles referred to in the triangles are equal, otherwise they should not be labelled as corresponding.
Therefore, we can set both equations equal to each other:
[tex]2x-5=81^{\circ}[/tex]
Add 5 to both sides:
[tex]2x=86[/tex]
Divide both sides by 2:
[tex]x=\frac{86}{2}=\boxed{43}[/tex]
£410 is divided between Gordon, Malachy & Paul so that Gordon gets twice as much as Malachy, and Malachy gets three times as much as Paul. How much does Malachy get?
Answer:
malachy got 123 euros
Step-by-step explanation:
if i m right than give me brainliest
[tex]factorise : - \\ \\ 4x {}^{2} - 56x + 196 \\ \\ please \: help \: [/tex]
[tex]\large\bold{\underline{\underline{ 4( {x - 7})^{2} }}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]4x {}^{2} - 56x + 196[/tex]
Take [tex]4[/tex] as the common factor.
[tex] = 4( {x}^{2} - 14x + 49)[/tex]
[tex] = 4( {x}^{2} - 7x - 7x + 49)[/tex]
Taking [tex]x[/tex] as common from first two terms and [tex]7[/tex] from last two terms, we have
[tex] = 4 \: [ x(x - 7) - 7(x - 7) ][/tex]
Taking the factor [tex](x-7)[/tex] as common,
[tex] = 4(x - 7)(x - 7)[/tex]
[tex] = 4( {x - 7})^{2} [/tex]
[tex]\bold{ \green{ \star{ \red{Mystique35}}}}⋆[/tex]
Through any two points there is exactly one _____
space.
plane.
line.
point.
Answer:
C. Line
Is the correct answer
The amount (mass) of Carbon in a 24 gram sample of Methane is 18 grams. Find the percent of carbon in the sample.
The percent of carbon in the 24 gram sample of methane is 75%.
To find the percent of carbon in the sample of methane, you can use the formula:
Percent of Carbon = (Mass of Carbon / Total Mass of Sample) * 100
Given that the mass of carbon in the sample is 18 grams and the total mass of the sample is 24 grams, we can substitute these values into the formula:
Percent of Carbon = (18 grams / 24 grams) * 100
Percent of Carbon = (0.75) * 100
Percent of Carbon = 75%
Therefore, the percent of carbon in the 24 gram sample of methane is 75%.Mass of Carbon: The problem states that the mass of carbon in the sample of methane is 18 grams. This means that out of the total mass of the sample, 18 grams is specifically attributed to carbon.
Total Mass of Sample: The total mass of the sample is given as 24 grams. This represents the combined mass of all the elements present in the sample, including carbon and hydrogen.
Percent Calculation: To find the percentage of carbon in the sample, we use the formula: (Mass of Carbon / Total Mass of Sample) * 100. This formula calculates the fraction of carbon relative to the total mass of the sample and converts it to a percentage.
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What do you know about the hypotenuse of triangle abc
Step-by-step explanation:
it is the longest side of the triangle and to find it we must appy a formula c square =a square + b square..thats all i know hehe
Describe fully the transformation that maps triangle a onto triangle B
Answer:
The transformation that maps Triangle A onto Triangle B is a reflection of Triangle A across the axis "y=-1".
Step-by-step explanation:
The transformation that maps triangle A to triangle B is a reflection over the line y = -1.
Given are two triangles A, we need to determine the transformation performed to get the image of triangle A, i.e., triangle B.
The coordinates of the triangle A are:
(1, -5), (1, -2) and (3, -2)
The coordinates of the triangle B are:
(1, 3), (1, 0) and (3, 0)
By comparing the corresponding vertices, we can observe that the x-coordinates remain the same while the y-coordinates change.
The transformation that maps triangle A to triangle B is a reflection over the line y = -1.
This reflection flips the triangle across the line, resulting in the change of sign for the y-coordinates while leaving the x-coordinates unchanged.
Hence the transformation performed to obtain triangle B from triangle A is a reflection over the line y = -1.
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Complete the table to investigate dilations of
exponential functions.
x
2x
3.2x
23.
1
-2
6
+
2 음
3 을
3
4
3
2
64
1
8
1
2
-1
0
a
b
C
1
1
d
e
f
2
4
12
64
а:
11
b =
C
e =
f=
d
DONE
Answer:
a = 1
b = 3
c = 1
d = 2
e = 6
f = 8
Step-by-step explanation:
found the answer on socratic and brainly
The values of the exponential functions, a, b, c, d, e and f are 1, 3, 1, 2, 6, 8 respectively.
What is meant by exponential function ?Exponential function is defined as a mathematical function which is written in the form f(x) = aˣ where a is a constant called base of the function and x is a variable. It is used to find the exponential growth or decay of a given data.
Here,
(a) Value of x = 0
So, a = 2ˣ = 2⁰
a = 1
(b) Value of x = 0
So, b = 3 * 2ˣ
b = 3 * 1
b = 3
(c) Value of x = 0
c = 2³ˣ = 2⁰
c = 1
(d) Value of x = 1
d = 2ˣ = 2¹
d = 2
(e) Value of x = 1
e = 3 * 2ˣ
e = 3 * 2¹ = 3 * 2
e = 6
(f) Value of x = 1
f = 2³ˣ = 2³
f = 8
Hence,
The values of the exponential functions, a, b, c, d, e and f are 1, 3, 1, 2, 6, 8 respectively.
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Point D is the incenter of triangle BCA. If mZFHG = 61°, what is the measure of 2FDG?
Answer:
122
Step-by-step explanation:
The angle subtended by an arc of a circle at the center is double times the angle subtended by it any point of the remaining part of circle
∠FDG = 2*FHG
= 2 * 61
= 122°
Answer:
122
Step-by-step explanation:
PLEASE HELP! Which point would be included in the solution set of this system of inequalities?
A. (-2,10)
B. (2,10)
C. (0,0)
D. (-2,-10)
Answer:
D
Step-by-step explanation:
-10 < -6 - 1
-10 < - 7 (ok)
-10 < -4 - 3
-10 < -7 (ok)
The answer is D (-2, -10)
What are the units of the area of the figure?
C5
millimeters
4 mm
cubic millimeters
square centimeters
O square millimeters
6 mm
Answer:
the answer is square millimeters
1) Enlun mixes 8 cups of pineapple juice and 14 cups of cranberry juice to make a fruit punch. Assuming he always mixes in the same ratio, write an equation that describes the proportional relationship between cups of pineapple juice (p) and cups of cranberry juice (c).
a) How many cups of pineapple juice are needed for 63 cups of cranberry juice?
Answer:
p = 4/7c
p = 36 cups when c = 63 cups
Step-by-step explanation:
Cups of pineapple juice, p = 8
Cups of cranberry juice, c = 14
equation that describes the proportional relationship between cups of pineapple juice (p) and cups of cranberry juice (c)
p = k * c
Where,
k = constant of proportionality
p = k * c
8 = k * 14
8 = 14k
k = 8/14
k = 4/7
Therefore,
p = 4/7c
How many cups of pineapple juice are needed for 63 cups of cranberry juice?
p = 4/7c
p = 4/7 * 63
= (4 * 63) / 7
= 252/7
= 36
p = 36
p = 36 cups when c = 63 cups
23 x 32 is the prime factorization for which one of these choices?
⟶ 2³ × 3² is the prime factorization for which one of these choices?
Let's check,
1) 6 = 3 × 2 [So, obviously not this choice]
2) 25 = 5 × 5 = 5² [Not this either]
3) 36 = 3 × 2 × 2 × 3 = 3² × 2² [Doesn't match with 2³ × 3²]
4) 72 = 2 × 2 × 2 × 3 × 3 = 2³ × 3² [Matches]
⟶ The answer is, choice 72.
[tex]\underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex]
The length of a rectangle exceeds its width by 3 inches. The area of the rectangle is 70
square inches. Find its dimensions. Hint: as in the example, use the equation for area,
A = lw.
Answer:
70= (x+3)
Step-by-step explanation:
the length of the rectangle its width by 3 inches, if the width is x,the length will be x+3. so A=LW= 70
To find= 70= (x+3)x
x= 7 or -10
Given the function f(x) = -5|x + 1 + 3, for what values of x is f(x) = -12?
O x = -2x = 4
O x = -2, x = 4
O x = 2, X= 4
O x= 2 X= 4
or, - 12= - 5x-5-15
or, - 12= - 5x-20
or, - 12+20= - 5x
or, 8= - 5x
or, x= 8÷-5
Also,
F(x)= - 5(x+1+3)
or, f(8÷-5)= - 5(8÷-5+1+3)
= - 5(8-5-15÷-5)
= - 5×-12÷-5
= - 12 #
Q14SIMPLIFY THE EXPRESSION 6ab of2adivided by12x12ab+14a-a
Answer:
25
Step-by-step explanation:
6ab of 2a ÷ 12 × 12ab + 14a - a
= 6ab * 2a ÷ 12 × 12ab + 14a - a
= 12a²b ÷ 144ab + 13a
= 12*a*a*b / 144*a*b + 13*a
= a/12 + 13*a
= 1/12 + 13
= 1/25
El ministerio de educación publicó los resultados obtenidos por los colegios en la última prueba icfes saber 11. En el colegio San estaban el promedio de los estudiantes en la prueba de razonamiento cualitativo fue de 75,8 ¿ que significa este resultado?
Answer:
El indicador mencionado en el enunciado indica que la suma de los resultados de las pruebas de razonamiento cualitativo de los estudiantes dividido por la población de los estudiantes arroja ese promedio.
El promedio indica el valor "central" del indicador, no estudia la dispersión de los resultados de las pruebas, es decir, como se distribuye la colección de indicadores.
Step-by-step explanation:
El indicador mencionado en el enunciado indica que la suma de los resultados de las pruebas de razonamiento cualitativo de los estudiantes dividido por la población de los estudiantes arroja ese promedio.
El promedio indica el valor "central" del indicador, no estudia la dispersión de los resultados de las pruebas, es decir, como se distribuye la colección de indicadores.
If you answer this correctly you get a cookie
Answer:
3/9
Step-by-step explanation:
P(G,G) = 1/3 × 1/3 = 1/9
P(B,B) = 1/9
P(Y,Y) = 1/9
P(same colour) 1/9 + 1/9 + 1/9 = 3/9
Dave and Ellen are newly married and living in their first house. The yearly premium on their homeowner's insurance policy is $450 for the coverage they need. Their insurance company offers a 5 percent discount if they install dead-bolt locks on all exterior doors. The couple can also receive a 2 percent discount if they install smoke detectors on each floor. They have contacted a locksmith, who will provide and install dead-bolt locks on the two exterior doors for $50 each. At the local hardware store, smoke detectors cost $7 each, and the new house has two floors. Dave and Ellen can install them themselves.
Answer:
A. 4.44years
B. 1.5years
C. Yes
Step-by-step explanation:
a. Calculation to determine how many years will it take Dave and Ellen to earn back in discounts the cost of the dead-bolts
First step is to determine the Annual discount for dead-bolts using this formula
Annual discount for dead-bolts=Discount percent × Annual premium
Let plug in the formula
Annual discount for dead-bolts=0.05 × $450
Annual discount for dead-bolts=$22.50
Now let determine the Recovery period using this formula
Recovery period=Cost of dead-bolts / Annual discount for dead-bolts
Let plug in the formula
Recovery period= (2 × $50)/ $22.50
Recovery period=$100/$22.50
Recovery period= 4.44years
Therefore Assuming their insurance rates remain the same, how many years will it take Dave and Ellen to earn back in discounts the cost of the dead-bolts will be 4.44years
b. Calculation to determine How many years will it take Dave and Ellen to earn back in discounts the cost of the smoke detectors
First step is to calculate the Annual discount for smoke alarms using this formula
Annual discount for smoke alarms=Discount percent × Annual premium
Let plug in the formula
Annual discount for smoke alarms=0.02 × $450
Annual discount for smoke alarms=$9.00
Now let determine the Recovery period using this formula
Recovery period=Cost of smoke alarms / Annual discount for smoke alarms
Let plug in the formula
Recovery period=(2 × $7) / $9.00
Recovery period=$14/$9.00
Recovery period= 1.5 years
Therefore How many years will it take Dave and Ellen to earn back in discounts the cost of the smoke detectors will be 1.5years
C. YES, Based on the information I WOULD recommend Dave and Ellen to invest in the SAFETY ITEMS, if they plan to stay in that house for about 5 years reason been that a home that is equipped with HOME SAFETY ITEMS can help to prevent UNFORESEEABLE ACCIDENTS that may occur, which is why SAFETY ITEMS is vital for every home regardless of the recovery period.
HELP ASAP WILL MARK BRAINLIEST!!!!!
A Ferris wheel car moves from point C to point D on the circle shown below:
D
38°
А ferris wheel car moves from point C to D on the circle shown below:
d = 20 ft
What is the arc length the car traveled, to the nearest hundredth?
2.18 feet
4.31 feet
5.84 feet
6.63 feet
Answer:
AL= 6.63
Step-by-step explanation:
C = 2[tex]\pi r[/tex]
C = 2[tex]\pi 10[/tex]
C = 20[tex]\pi[/tex]
[tex]AL = \frac{38}{360} 20\pi[/tex]
AL= 6.63
The length of the arc travelled by the car is 6.63 feet.
What is the arc length of a circle?The distance along the part of circumference of any circle or any curve (arc) is called arc length of a circle.
Formula for calculating the arc lengthArc length = θ×[tex]\frac{\pi }{180}[/tex]× r
where,
θ is central angle of arc
r is the radius of circle
What is diameter of the circle?The diameter of a circle is any straight line segment that passes through the center of the circle and whose end points lie on the circumference of the circle.
Formula for the calculating arc lengthdiameter = 2× radius
According to the given question
we have
θ = 38 degrees
diameter = 20ft
⇒ radius = [tex]\frac{20}{2}[/tex]
⇒ radius = 10
Therefore,
the arc length the car traveled = 38×[tex]\frac{\pi }{180}[/tex]× 10
= 38×[tex]\frac{3.14}{180}[/tex]×10
=[tex]\frac{1193.2}{180}[/tex]
=6.63 feet
Hence, the arc length the car travelled is 6.63feet.
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find k so that x+2 is a factor of x^3 - kx^2 + 2x + 7k
Answer:
k = 4
Step-by-step explanation:
If (x + 2) is a factor then f(- 2) = 0
f(x) = x³ - kx² + 2x + 7k , then
f(- 2) = (- 2)³ - k(- 2)² + 2(- 2) + 7k = 0
⇒ - 8 - k(4) - 4 + 7k = 0
⇒ - 8 - 4k - 4 + 7k = 0
⇒ 3k - 12 = 0 ( add 12 to both sides )
⇒ 3k = 12 (divide both sides by 3 )
⇒ k = 4
Answer:
k = 4
Step-by-step explanation:
If x + 2 is a factor of x³ - kx² + 2x + 7k then
the value of x = -2
Solve for k
f ( x ) = x³ - kx² + 2x + 7kplug -2 as x in the expression.
f ( -2) = ( -2)³ - k ( -2)² + 2 ( -2 ) + 7 k = 0expand the exponents
= -8 -4k -4 + 7k = 0combine like terms
= -8 -4 + -4k + 7k = 0= -12 + 3k = 0add 12 to both side
-12 + 12 + 3k = 123k = 12divide each side by 3
3k / 3 = 12/3k = 4What is the shape of this distribution? A. Unimodal skewed B. Uniform C. Bimodal symmetric D. Unimodal symmetric E. Bimodal skewed
Answer:
D
Step-by-step explanation:
It can't be C and B since it doesn't have two parts, and if it was uniform it would have another part attached to the bottom. Moreover, it can't be A since it isn't positively skewed or negatively skewed, so it must be D.
The shape of this distribution is Unimodal symmetric.
Option D is the correct answer.
What is a histogram?A histogram is a representation of the distribution of data with intervals.
We have,
In statistics, a distribution is considered unimodal symmetric if it has a single mode or peak and is symmetric around that mode.
This means that the data is evenly distributed on both sides of the mode and is equally likely to occur on either side.
A common example of a unimodal symmetric distribution is the normal distribution, also known as the Gaussian distribution or bell curve.
Thus, the shape of this distribution is Unimodal symmetric.
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