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Answer:
b = -8, 2.5
Step-by-step explanation:
The equation can be rewritten to standard form:
2b² +11b -40 = 0
In this form, it can be factored by looking for factors of (2)(-40) that have a total of +11.
-80 = 80(-1) = 40(-2) = 20(-4) = 16(-5) = 10(-8)
The factors 16 and -5 total 11, so we can now write the equation in a form suitable for factoring by grouping:
2b² +16b -5b -40 = 0 . . . . write the b term using the numbers we found
2b(b +8) -5(b +8) = 0 . . . . factor pairs of terms
(2b -5)(b +8) = 0 . . . . . . . . finish the factoring
Solutions are values of b that make these factors zero:
2b -5 = 0 ⇒ b = 5/2
b +8 = 0 ⇒ b = -8
Solution to the equation are b = -8 and b = 5/2.
PLEASE HELP ME I NEED HELP PLEASE HELP
Answer: a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
because i have had this question before.
A family discount card offers deals for the cinema. The card states:
The cost of an adult is $10. A child’s ticket is $6.
FAMILY DISCOUNT CARD
- 45% off all adults tickets
- Children save 2/5 off of full price tickets
a) How much will it cost to buy 2 adult tickets and children’s tickets?
b) The cost of a family discount card is $40 per year. How many times in the same year would 2 adults and 3 children need to go before you start to save
money on the cost of the card? 7m
Answer:
a)£21.80
b) 3 trips
Step-by-step explanation:
The cost of an adult is $10.
A child’s ticket is $6.
FAMILY DISCOUNT CARD
- 45% off all adults tickets
- Children save 2/5 off of full price tickets
a) How much will it cost to buy 2 adult tickets and children’s tickets?
(a)
Adults: 2 × £10 = £20
(45 ÷ 100) x £20 = £9
£20 - £9 = £11
Children: 3 × £6 = £18
2 /5 of £18 = £7.20
£18 - £7.20 = £10.80
Total: £11 + £10.80 = £21.80
b) The cost of a family discount card is $40 per year. How many times in the same year would 2 adults and 3 children need to go before you start to savemoney on the cost of the card?
(b) Cost without discount = £20 + £18 = £38b)
No card
1 trip
1 × £38 = £38
2 × £38 = £76
3 × £ 38 = £114
With card
£40 + (1 × £21.80) = £61.80
2 trips 2 × £38 = £76 £40 + (2 × £21.80) = £83.60
3 trips 3 x £38 = £114 £40 + (3 × £21.80) = £105.40
3 trips before the discount card starts being cheaper than regular price
PLEASE HELP QUICK WILL GIVE BRAINLYIST!!!!
Point C is the center of dilation. Line segment B A is dilated to create line segment B prime A prime. The length of C A is 4. The length of A A prime is 16.
What is the scale factor of the dilation of line segment BA?
One-fifth
One-fourth
4
5
Answer:
D
Step-by-step explanation:
Cus the other guy is big brain
The scale factor of the dilation of line segment BA is 5.
What is Scale factor?To adjust the size of a figure without altering its shape, a scale factor is a number or conversion factor that is utilised. It is employed to change the size of an object. If the original figure's dimensions and the dilated (increased or lowered) figure's dimensions are known, the scale factor can be determined.
When both the original dimensions and the new dimensions are known, the scale factor may be determined. When employing the scale factor, there are two terms that must be understood. When a figure's size is increased, we refer to this as scaling up, and when its size is decreased, we refer to this as scaling down.
Given:
AC= 4
AA' = 16
and, A'C= 16+ 4 = 20
So, scale factor = AC/ A'C
= 4/5
= 1/5
Hence, the scale factor of the dilation of line segment BA is 5.
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prove that√P is irrational for any prime number P
Answer:
Step-by-step explanation:
I’m not sure if this is super accurate, but since P is prime, the only factors it has is 1 and itself, meaning that the square root of it will be irrational
Let f(x) = 5x ^ 2 - x + 1 and g(x) = - 3x . Evaluate the composition (fg)(1)
9514 1404 393
Answer:
-15
Step-by-step explanation:
(fg)(1) = f(1)×g(1) = (5×1² -1 +1)×(-3·1) = (5)×(-3)
(fg)(1) = -15
6 friends are going on a trip and are splitting the cost of a rental house that is $534. How much does each person have to pay?
Answer:
$89
Step-by-step explanation:
cost of the house is $534 as 6 PEOPLE are going to obtain the cost of a single person you have to divide the total value by 6
Angle DEB is 71. What size is ABD
Answer:
71°
Step-by-step explanation:
ABD is alternate to DEB. Therefore ADB = DEB = 71°
The required size of angle ABD is 71.
What is alternate segment theorem?The theorem states that “For any circle, the angle formed between the tangent and the chord through the point of contact of the tangent is equal to the angle formed by the chord in the alternate segment”.
Now it is given that,
angle DEB = 71
Also given that B is the point on the circumference of the circle, and suppose “O” be the centre of the circle.
Now, AC is the tangent of the circle that passes through point B.
The tangent makes an angle ABD with the chord BD.
Now, given that ∠DEB = 71 in the alternate segment.
Now, we have to prove that ∠ABD = 71.
Thus, OD =OB (Both are the radii of the circle)
Also, ∠ODB = ∠OBD (since the angles opposite to the equal sides are equal)
Since, OBD is an isosceles triangle
∠BOD = 180° – ∠ODB – ∠OBD
∠BOD = 180° – 2∠OBD …(1)
Since, the line segment AC is the tangent line,
∠OBA = 90°
Therefore, ∠OBA = 90° – ∠OBD …(2)
From the equations (1) and (2), we can write
∠AOB = 2∠DEB
We know that the angle at the centre of the circle is twice the angle at the circumference of the circle.
∠BOD = 2∠DEB
∠DEB = (½)∠BOD
Now, substitute ∠BOD = 2∠DEB in the above equation, we get
∠DEB = (½)2∠DEB
∠DEB = ∠DEB
⇒ ∠DEB =71
Thus, the required size of angle ABD is 71.
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Find the surface area Find the total surface area of the rectangular prism. 6 1/2 cm 3 3 cm. Please help fast
Step-by-step explanation:
(3•2)+(3•2)+(6.5•3)+(6.5•3)+(2•6.5)+(2•6.5)
=77
simplify ⁴/7÷(3⅓+2⅘)
Which operation could be used to solve this equation?
x - 7 = 38
A=Addition
B=Subtraction
C=Multiplication
D=Division
Answer:
The answer is that you have to have Addition and division to solve this equation
Write an equation for the nth term of the arithmetic sequence 37, 29, 21, 13, ....
An equation for the nth term of the arithmetic sequence is an
Answer:
n= 37 -8n
the first n is the end result, the second in the equation is the __ number, the nth number
Step-by-step explanation:
A certain student has taken 124 credit hours so far in college. The student took the same number of credit hours in each fall semester and the same number of credit hours in each spring semester. The equation 15x + 16y 124 represents this situation, where x is the number of fall semesters and y is the number of spring semesters in which the student has taken classes. How many more credit hours did the student take in each spring semester than in each fall semester?
Answer:
Hi how are you doing today Jasmine
A side of the triangle below has been extended to form an exterior angle of 159°. Find the value of x
Answer:
Find the the angle by subtracting 159 from 180 that’s your answer= 21 degrees
Step-by-step explanation:
brainliest plssss
Answer:
Show the answer choices
Step-by-step explanation:
Show answer choices
2x + 6y = -18
--8x - y = 22
Please solve for me it’s due right now
Answer: (-2.478, -2.174)
Step-by-step explanation:
the equation in slop intercept form are:
- y=1/3x - 3
-y= -8x - 22
unit rate for $128 for food for 16 dogs please its friday i need this
Answer:
Step-by-step explanation:
Unit rate = 128 ÷ 16 = 8$
Answer:
$8 if it's wrong i'm sorry.
PLEASE!!!!!!!The adjoining figure shows two circles with the same center. The
radius of the larger circle is 10 cm and the radius of the smaller circle
is 4 cm. Find the area of the shaded region.
[tex]\boxed{\boxed{\pink{\sf \leadsto Hence \ the \ area \ of \ shaded \ region \ is 264 cm^2}}}[/tex]
Step-by-step explanation:Here , two circles are given which are concentric. The radius of larger circle is 10cm and that of smaller circle is 4cm . And we need to find thelarea of shaded region.
From the figure it's clear that the area of shaded region will be the difference of areas of two circles.
Let the,
Radius of smaller circle be r .Radius of smaller circle be r .Area of shaded region be [tex]\bf Area_{shaded}[/tex][tex]\bf \implies Area_{Shaded}= Area_{bigger}-Area_{smaller} \\\\\bf\implies Area_{Shaded} = \pi R^2 - \pi r^2 \\\\\bf\implies Area_{shaded} = \pi ( R^2-r^2) \\\\\bf\implies Area_{shaded} = \pi [ (10cm)^2 - (4cm)^2] \\\\\bf\implies Area_{shaded} = \pi [ 100cm^2-16cm^2] \\\\\bf\implies Area_{shaded} = \pi \times 84cm^2 \\\\\bf\implies Area_{shaded} = \dfrac{22}{7}\times 84cm^2 \\\\\bf\implies \boxed{\red{\bf Area_{shaded} = 264 cm^2 }}[/tex]
Hence the area of the shaded region is 264 cm².The production of a certain pist Increase from
50,000 units to 89000 units in 5 years . If
the production increase uniforormuly - What
Increase in production:
is the Annual
9514 1404 393
Answer:
7800 units per year
Step-by-step explanation:
The increase over 5 years is ...
89,000 -50,000 = 39,000 . . . . units
Then the increase per year is ...
(39,000 units)/(5 years) = 7,800 units/year
Find the values of x and y 155 13x 5y
Answer:
6
Step-by-step explanation:
3/5 (divide) 1/2
1.3/10
2.1 1/10
3.1 1/5
Answer:
1 - 0.3 (3/10)
2 - 1.1 (11/10)
3 - 2.2 (11/5)
For 3/5 (divide) 1/2, the answer is 1.2
Step-by-step-explanation:
3/5 = 0.6
1/2 = 0.5
0.6 / 0.5 = 1.2
Find x. I WILL GIVE BRAINLIEST. Please answer asap.
Answer:
70°
Step-by-step explanation:
180-105=75
35+75=110
180-110=70
the quotient of a number and -5 increased by one is at most 7
Answer:
the quotient of a number (any letter of the alphabet) n(-5) = nx5 = 7
Step-by-step explanation:
Please Hurry
What is 0.857142857143 as a Fraction? (Please simplify if possible.)
Answer: I think it's (0.857142857143 as a fraction equals 857142857143/1000000000000)
Step-by-step explanation:
0.857142857143 as a fraction is 7.714285714287/9, which cannot be simplified further.
What is decimal?Decimals are numbers that have two components, a whole number component and a fractional component, which are separated by a decimal point.
To convert 0.857142857143 to a fraction:
Let x = 0.857142857143
Then 10x = 8.57142857143
Subtracting x from 10x gives:
10x - x = 8.57142857143 - 0.857142857143
Simplifying:
9x = 7.714285714287
Dividing by 9:
x = 0.857142857143 = 7.714285714287/9
Therefore, 0.857142857143 as a fraction is 7.714285714287/9, which cannot be simplified further.
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These are the cost and revenue functions for a line of trumpets sold at a music store: RX) = 76x -0.25x2 C(x) = -7.75x + 5,312.5 Based on these functions, what is the maximum profit that can be made, to the nearest dollar? A. $1,469 B. $1,702 C. $3,375 D. $5,776
Answer: It is not D.
Step-by-step explanation: I got it wrong lol
Answer:
C.
Step-by-step explanation:
A person standing 248 feet from the base of a church observed the angle of elevation to the
church's steeple to be 43. How tall is the church? (Give your answer to the nearest whole number)
How tall is the church?
Answer:
h = 231 feet
Step-by-step explanation:
Given that,
A person standing 248 feet from the base of a church, x = 248 feet
The angle of elevation to the church's steeple to be 43°.
We need to find the tall of the church. Let the length of the church is h. Using trigonometry to find it.
[tex]\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{h}{x}\\\\h=x\tan\theta\\\\h=248\times \tan(43)\\\\=231.26\ \text{feet}[/tex]
or
h = 231 feet
So, the height of the church is 231 feet.
What percentage of students age 15 and above travel to school by car? Round to the nearest whole percent.
Answer:
18%
Step-by-step explanation:
First, we need to find out the underage of 15 for walking/biking. 152-65=87
then we subtract 87 and 60 from 165 to get 18%
WORKSHEET-2
7. The natio of the cincumference of the diameter is
2. The distance around a circular region is known as it's
3. Find the area and circumference of circle whose radius is 35 cm
Сло
=2
= 22
Cincumference
AREA
Answer:
1. [tex]\frac{C}{D}[/tex] = 3.143
2. Circumference
3. Area of the circle is 3850 [tex]cm^{2}[/tex].
ii. Circumference of the circle is 220 cm.
Step-by-step explanation:
The area, A, and the circumference, c, of a circle can be determined respectively by:
A = [tex]\pi[/tex][tex]r^{2}[/tex]
C = 2[tex]\pi[/tex]r
where r is the radius of the circle.
1. the ratio of the circumference and diameter, D, of a circle is:
r = [tex]\frac{D}{2}[/tex]
so that,
C = 2[tex]\pi[/tex][tex]\frac{D}{2}[/tex]
C = [tex]\pi[/tex]D
[tex]\frac{C}{D}[/tex] = [tex]\pi[/tex]
= [tex]\frac{22}{7}[/tex]
= 3.143
2. The distance around a circular region is known as it's circumference.
3. Given a circle of radius 35 cm, then:
A = [tex]\pi[/tex][tex]r^{2}[/tex]
= [tex]\frac{22}{7}[/tex] x [tex](35)^{2}[/tex]
= [tex]\frac{22}{7}[/tex] x 1225
= 22 x 175
A = 3850
Area of the circle is 3850 [tex]cm^{2}[/tex].
C = 2[tex]\pi[/tex]r
= 2 x [tex]\frac{22}{7}[/tex] x 35
= 2 x 22 x 5
= 220
C = 220 cm
Circumference of the circle is 220 cm.
Ms.Heinen's desk is 3 feet by 2 feet. What is the perimeter of her desk?
Answer: 10 ft
Step-by-step explanation:
Her desk is a rectangle
Perimeter of a rectangle: 2 ( l + b )
l = 3 ft
b = 2 ft
2 ( 3 + 2 ) = 2 (5) = 10
The perimeter of her desk is 10 ft.
Find using y=Mx+b
M=3 and (5,-4)
Answer:
m is the slope, and bb is the yy-intercept
this is the slope-intercept form of a line, y=mx + b, where it is clearly labeled using arrows that the slope is denoted by the letter m and the y-intercept is denoted by letter b
Answer:
y=3x-19
Step-by-step explanation:
-4=(5)(3)+b
-4=15+b
-19=b
y=3x-19
Given a population mean of 53.7 with a standard deviation of 1.3 and a sample size
of 6, answer these questions:
Part A: What is the standard deviation of the sampling distribution of x? Show your
work. (5 points)
Part B: What does the sample size need to be if you want the standard deviation of
the sampling distribution of x to be 0.325? Show your work.
Answer:
A) standard deviation of the sampling distribution of x is 0.5307
B) the sample size needs to be 16, if you want the standard deviation of the sampling distribution of x to be 0.325
Step-by-step explanation:
Given that;
Population mean μ = 53.7
standard deviation σ = 1.3
sample size n = 6
Sampling distribution of x" follows Normal distribution
x" η N ( μ_x" =μ, σ_x"= σ/√n)
A)
standard deviation of the sampling distribution of x
⇒X" = σ_x" = σ/√n
we substitute
= 1.3/√6
= 1.3 / 2.4494
= 0.5307
Therefore standard deviation of the sampling distribution of x is 0.5307
B)
if σ_x" = 0.325
⇒ σ/√n = 0.325
we substitute in the value of σ
⇒ 1.3/√n = 0.325
√n = 1.3 / 0.325
√n = 4
n = 4²
n = 16
Therefore the sample size needs to be 16, if you want the standard deviation of the sampling distribution of x to be 0.325
Select the correct answer
Gavin collects a certain type of seashell. He has 160 seashells. The seashells' weights are distributed normally, with a mean of 120 grams and a
standard deviation of 26 grams.
How many of the seashells weigh at least 68 grams?
A 134
В.152
C.156
D. 109
Answer: C.156
Step-by-step explanation:
Given: Total seashells = 160
mean = 120
population standard deviation = 26 grams
The probability that the seashells weigh at least 68 grams :-'
[tex]P(X\geq68) =P(\dfrac{x-\mu}{\sigma}\geq\dfrac{68-120}{26})\\\\=P(z\geq-2)\\\\=P(z<2)\ \ \ [P(Z\geq-z)=P(Z<z)]\\\\= 0.9772\ \ \ [\text{By p-value table}][/tex]
Total seashells weigh at least 68 grams = 0.9772 x 160 = 156.352≈ 156
Hence, the correct option is C.156
Answer:
156/C
Step-by-step explanation:
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