Respuesta:
7a - 7ab² - 10
Explicación paso a paso:
Dada la expresión
2a -9ab² + 5a + 2ab² - 10
Sobre simplificar
Primero recopile los términos similares;
= -9ab² + 2ab² + 2a + 5a- 10
= -7ab² + 7a - 10
Volver a escribir
= 7a - 7ab² - 10
Por lo tanto, la expresión requerida es 7a - 7ab² - 10
Nationwide, it is estimated that 40% of service stations have gas tanks that leak to some extent. A new program in California is designed to lessen the prevalence of these leaks. We want to assess the effectiveness of the program by seeing if the percentage of service stations whose tanks leak has decreased. To do this, we randomly sample 27 service stations in California and determine whether there is any evidence of leakage. In our sample, only 7 of the stations exhibit any leakage. Is there evidence that the new program is effective
Answer:
Since the calculated value of z= -1.496 does not fall in the critical region z < -1.645 we conclude that the new program is effective. We fail to reject the null hypothesis .
Step-by-step explanation:
The sample proportion is p2= 7/27= 0.259
and q2= 0.74
The sample size = n= 27
The population proportion = p1= 0.4
q1= 0.6
We formulate the null and alternate hypotheses that the new program is effective
H0: p2> p1 vs Ha: p2 ≤ p1
The test statistic is
z= p2- p1/√ p1q1/n
z= 0.259-0.4/ √0.4*0.6/27
z= -0.141/0.09428
z= -1.496
The significance level ∝ is 0.05
The critical region for one tailed test is z ≤ ± 1.645
Since the calculated value of z= -1.496 does not fall in the critical region z < -1.645 we conclude that the new program is effective. We fail to reject the null hypothesis .
Find the intersection points of the linear and quadratic functions shown below f(x)=2x-5 g(x)= x2+2x-21
Answer:
[tex](-4,-13)[/tex] and [tex](4,3)[/tex] the intersection points.
Step-by-step explanation:
Intersection point of two functions is a common point which satisfies both the functions.
Given functions are,
[tex]f(x)=2x-5[/tex]
[tex]g(x)=x^2+2x-21[/tex]
For a common point of these functions,
[tex]f(x)=g(x)[/tex]
[tex]2x-5=x^2+2x-21[/tex]
[tex]-5=x^2-21[/tex]
[tex]0=x^2-16[/tex]
[tex]x^2=16[/tex]
[tex]x=-4,4[/tex]
For [tex]x=-4[/tex],
[tex]f(-4)=g(-4)=2(-4)-5[/tex]
[tex]=-13[/tex]
For [tex]x=4[/tex],
[tex]f(4)=g(4)=2(4)-5[/tex]
[tex]=3[/tex]
Therefore, [tex](-4,-13)[/tex] and [tex](4,3)[/tex] the intersection points.
Is the function f(x) = 9x2 + 4x – 2 linear, quadratic, or exponential?
Answer:
According to me it is quadratic function.
Answer
The function [tex]f(x)=9x^2+4x-2[/tex] is a quadratic function.
Linear functionsLinear functions are the functions having the highest power as one, whereas the quadratic functions have two as the highest power. On the other hand, the function which has the form of [tex]f(x)=\text{e}^x[/tex] is known as an exponential function.
How to determine whether the function is quadratic or not?The function [tex]f(x)=9x^2+4x-2[/tex] has the highest power of [tex]2[/tex].
Thus, the function [tex]f(x)=9x^2+4x-2[/tex] is a quadratic function.
Learn more about quadratic functions here- https://brainly.com/question/5975436
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The slope of line:
-6x-3y = 12
the circumference of a circle is 28 meters. what is the radius?
A. 7 m
B. 14 m
C. 21 m
D. 28 m
please help me with retake questions? im really confused
Answer:
20°
Step-by-step explanation:
It's a catch. Draw a stronger line (along the circle) from V, going through Z, W, X, and getting to Y. That measures 320°.
Since the whole circle is 360° the segment YV measures 40°. Therefore, angle VXY = 20°.
Trudy has been training for an upcoming marathon. She has kept track of how many miles she runs every day for the past two weeks:
12, 15, 7, 14, 12, 3, 16, 15, 19, 20, 12, 9, 18, and 21.
a. Calculate the mean and median for this data.
Mean:
Median
b. Calculate the Quartile 1 (Q1)
Quartile 2 (Q2)
d. What is the IQR (Interquartile Range):
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
12, 15, 7, 14, 12, 3, 16, 15, 19, 20, 12, 9, 18, 21
Reordering the data:
3, 7, 9, 12, 12, 12, 14, 15, 15, 16, 18, 19, 20, 21
Mean = Σx / n = 193 / 14 = 13.76
The Median :
1/2(n+1)th term
15/2 = 7.5th term
(14 + 15) / 2 = 14.5
First quartile (Q1) :
1/4(n+1)th term
15/4 = 3.75th term
= 12
Q3 :
3/4(15)th term = 11.25 th term
Q3 = 18
Interquartile range = Q3 - Q1
Interquartile range = 18 - 12 = 6
Is this proportional or non proportional and why
Given:
The table of values.
To find:
Whether the given relation in the table is proportional or non proportional.
Solution:
If y is directly proportional to x, then
[tex]y\propto x[/tex]
[tex]y=kx[/tex]
[tex]\dfrac{y}{x}=k[/tex]
Where, k is the constant of proportionality.
It means the ratio of y and x remains same for proportional relation.
From the given table, the points are (10,18), (11,18.6) and (12,19.2). The ratio of y to x for these points are:
[tex]\dfrac{18}{10}=1.8[/tex]
[tex]\dfrac{18.6}{11}\approx 1.69[/tex]
[tex]\dfrac{19.2}{12}=1.6[/tex]
Since the ratio of y to x for the given points are not equal, therefore the given relation is a non proportional relation.
hello please help i’ll give brainliest
Solve for x.
40 = 8(x - 10)
Answer:
x = 15
Step-by-step explanation:
hope this helps, have a great day/night!!
Answer:
15
Step-by-step explanation:
40=8(x - 10)
Distributive property
40 = 8x - 80
Add 80 on both side
120 = 8x
Divide both sides by 8
120/8 = 15
x = 15
what would be the area of a square if it had the side length of 6 cm
Answer:
36
Step-by-step explanation:
since all sides are same, youd multiply 6x6 and that gets ya 36.
Which words name the shape?
Answer: B, Parallelogram, and rectangle
Step-by-step explanation:
A parallelogram requires two parallel sides which that shape has.
A rectangle requires all angles to be right angles and that shape has all angles being right angles.
The shape is not a rhombus since all sides are not the same and it's not a square for the same reason.
Find the slope of the line that passes through each pair of points.
Answer:
0.5
Step-by-step explanation:
Slope (m) =
ΔY
ΔX
=
1
2
= 0.5
θ =
arctan( ΔY ) + 180°
ΔX
= 206.56505117708°
ΔX = 0 – 2 = -2
ΔY = 0 – 1 = -1
Distance (d) = √ΔX2 + ΔY2 = √5 = 2.2360679774998
Equation of the line:
y = 0.5x
When x=0, y = 0
When y=0, x = -0
BRAINIEST PLEASE??
Help please quick. I need answers quick.
Answer:
Slope is 1/2
Step-by-step explanation:
1/2 is a fraction not a integer.
For every change of 1 y there is a change of 2 x
Factorise x2+3x-4. please
Answer:
(−1) (+4)
Step-by-step explanation:
A certain television is advertised as a 85 inch TV if the width of the TV is 67 how tall is the TV
Answer:
Step-by-step explanation:
Apply the Pythagorean Theorem:
85^2 = 67^2 + h^2, where h is the height of the TV
Then 7225 = 4489 + h^2, or
h^2 = 2736, or h = +√2736 = 52.3 inches
The TV is 52.30 inches tall if the television is advertised as an 85-inch TV if the width of the TV is 67.
What is a right-angle triangle?It is defined as a triangle in which one angle is 90 degrees and the other two angles are acute angles. In a right-angled triangle, the name of the sides are hypotenuse, perpendicular, and base.
We have:
A certain television is advertised as a 85 inch TV
It means the diagonal length is 85 inches.
Width of the TV = 67 inches
Let's suppose the TV is x inches Tall
So from the Pythagoras theorem:
[tex]\rm 85^2 = x^2+67^2[/tex]
7225 = x² + 4489
x = 52.30 inches
Thus, the TV is 52.30 inches tall if the television is advertised as an 85-inch TV if the width of the TV is 67.
Learn more about the right angle triangle here:
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f(x) = x2. What is g(x)?
Answer:
B
Step-by-step explanation:
Graph shrinks, that means for every x value there is a higher y value. So coefficient of x is definitely more than 1. Try to substitute x = 1 to (9x)^2 and (3x)^2.
(3(1))^2 = 9
In circle B with m \angle ABC= 30m∠ABC=30 and AB=14AB=14 units, find the length of arc AC. Round to the nearest hundredth.
Answer:
the answer is 130 because why not
Answer:
The answer is 7.33 m
Step-by-step explanation:
I looked it up lolTree one is meters tall. Tree two is 10.5 meters tall. What is the scale factor
Answer: 10.5
Step-by-step explanation:
Teachers were told that next year they would receive a percent increase in their salary. Mrs. Bennett is making $32,000 a year and will receive $2,550.00 more next year. What is the percent increase? Round to the nearest percent. I need this answer ASAP please and thank you!
Answer:
7.97%
Step-by-step explanation:
Given data
Original Salary= $32,000
Increase= $2,550.00
percent increase= increase/original *100
Percent increase= 2,550.00/32000*100
Percent increase= 0.0796875*100
Percent increase= 7.97%
Hence the increase is 7.97%
Which ones the right answer?
The answer is D. (7,8)
You are able to count from 0 to ten, and you always put the x number first!
Hope this helps :)
what is the value of sin E? write your answer as a simplified fraction
Answer:
[tex] \frac{20}{101} [/tex]
Step-by-step explanation:
I hope this helps
Would you rather go without TV or junk food the rest of your life?
Answer:
Junk food because the TV gives you something to do.
Step-by-step explanation:
Have a great day :)
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Therefore, x = 8
The image above will help you better understand why.
Answer:
x=8
Step-by-step explanation:
It is really easy just try to multiply
PLEASE ANSWER ASAP NO LINKS!!!!
Answer:
a
Step-by-step explanation:
same slope
Answer:
d
Step-by-step explanation:
i say this because of the reason of how the line goes along the y and x
Write the polynomial in standard form:
3x-4-6x^2+5x^3
Answer:
see explanation
Step-by-step explanation:
we are gonna write it in terms of descending or ascending order
but I'm gonna do mine in ascending order
it gonna be:
5x³-6x²+3x-4
Help plzz i added a pic
Answer: A. 16
Step-by-step explanation:
16Step-by-step explanation:
Enter the value of
(0.01)(−0.1)(10)(−100)
The value of the expression (0.01) × (−0.1) × (10) × (−100) will be 1.
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ (0.01) × (−0.1) × (10) × (−100)
Simplify the expression, then we have
⇒ (0.01) × (−0.1) × (10) × (−100)
⇒ (0.01) × (0.1) × (10) × (100)
⇒ 1
The value of the expression (0.01) × (−0.1) × (10) × (−100) will be 1.
More about the value of the expression link is given below.
https://brainly.com/question/23671908
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maria is renting kayaks from a local shop that charges a 10$ fee plus an hourly rate of 7.50 for how long can maria rent the kayak if she only pays a total of 70$
Answer: Let Maria can rent the kayak for x hours. Thus, Maria can rent the kayak for 8 hours.
Step-by-step explanation:
Use the algebra tiles to help you solve the equation 4x - 5 = 7