Step-by-step explanation:
[tex]area \: of \: rectangle \: = \: length \: \times width \\ area = (2x - 3) \times (x + 7) \\ = 2 {x}^{2} + 14x - 3x - 21 \\ = 2 {x}^{2} + 11x - 21[/tex]
I need help with this
Topic 3 Assessment
POSSIBLE POINTS 11
Are the following functions linear or nonlinear? Function A
Function B
Function A
Function B
X3 6 9 1215
ty
9
y510152025 8
6
5
4
3
2
6
7 8 9
1
2
3 4 5 6 7 8 9
Nex
I think function A is linear and function B isnt
Step-by-step explanation:
Function A has a constant rate of change and function B looks like a curve
Choose the two situations that describe volume.
A. measuring the length and width of a box
B. finding the total number of cubes a box will hold
C. counting how many blocks make up a block tower
D. measuring the length of each side of a desk using cubes
E. counting the number of cubes it takes to cover the entire surface of a desk
What is it?
Answer:
B and C are volume
A = area/perimeter
D = Perimeter
E = surface area
Pls help I’m so confused,,
What is 7/9÷1/3 I really want to know
HELPPPPPPPP !!!!!!!!!
Solve the inequality:
10x+5≥25
Select one:
x≥2
x≥20
x≥30
x≥3
Answer:
x≥2
Step-by-step explanation:
Step 1: Subtract 5 from both sides.
10x+5−5≥25−5
10x≥20
Step 2: Divide both sides by 10.
10x /10 ≥ 20 /10
HOPE IT HELPS
Complete the statement. Round to the nearest hundredth if necessary. 64 lb ≈ kg
Answer:
64 lb = 29.029912 kg
Rounded to the nearest hundredth is 29.03 kg
hope this helps!
if m7 = 55°, which of the following statements are true? Select all that apply.
A. m6 = 55°
B. m5 = 135°
C. m1 + m4 = 250°
B. m1 + m6 = m7 + m4
Answer:
A. m∠6 = 55°
C. m∠1 + m∠4 = 250°
D. m∠1 + m∠6 = m∠7 + m∠4
DOES ANYONE KNOW THESE ANSWERS PLEASE HELP
Marking Branliest
A right rectangular pyramid is sliced horizontally (Across) at the red line by a plane paralell to the base of the pyramid. What is the shape of the cross-section ?
Answer:
Rectangle
Step-by-step explanation:
Since the base is a rectangle and the pyramid was cut horizontally that would leave the shape of the cross-section to be a rectangle as well.
hope this helped, have a great day :)
Answer:
Rectangle
Step-by-step explanation:
1. An AP has a common difference of 3. Given that the nth term is 32, and the sum of the first n terms is 185, calculate the value of n.
Answer:
The value of n is 10
Step-by-step explanation:
The formula of the nth term of the arithmetic progression is a[tex]_{n}[/tex] = a + (n - 1)d
a is the first termd is the common difference between each 2 consecutive termsn is the position of the termThe formula of the sum of nth terms is S[tex]_{n}[/tex] = [tex]\frac{n}{2}[/tex] [2a + (n - 1)d]
∵ An AP has a common difference of 3
∴ d = 3
∵ The nth term is 32
∴ a[tex]_{n}[/tex] = 32
→ Substitute them in the 1st rule above
∵ 32 = a + (n - 1)3
∴ 32 = a + 3(n) - 3(1)
∴ 32 = a + 3n - 3
→ Add 3 to both sides
∴ 35 = a + 3n
→ Switch the two sides
∴ a + 3n = 35
→ Subtract 3n from both sides
∴ a = 35 - 3n ⇒ (1)
∵ The sum of the first n terms is 185
∴ S[tex]_{n}[/tex] = 185
→ Substitute the value of S[tex]_{n}[/tex] and d in the 2nd rule above
∵ 185 = [tex]\frac{n}{2}[/tex] [ 2a + (n - 1)3]
∴ 185 = [tex]\frac{n}{2}[/tex] [2a + 3(n) - 3(1)]
∴ 185 = [tex]\frac{n}{2}[/tex] [2a + 3n - 3]
→ Multiply both sides by 2
∴ 370 = n(2a + 3n - 3)
∴ 370 = 2an + 3n² - 3n
→ Substitute a by equation (1)
∴ 370 = 2n(35 - 3n) + 3n² - 3n
∴ 370 = 70n - 6n²+ 3n² - 3n
→ Add the like terms in the right side
∵ 370 = -3n² + 67n
→ Add 3n² to both sides
∴ 3n² + 370 = 67n
→ Subtract 67 from both sides
∴ 3n² - 67n + 370 = 0
→ Use your calculator to find n
∴ n = 10 and n = 37/3
∵ n must be a positive integer ⇒ 37/3 neglecting
∴ n = 10
∴ The value of n is 10
The shelf life of a battery produced by a major company is known to be normally distributed, with a mean life of 4 years and a standard deviation of 0.75 years. What is the upper quartile of the battery shelf life? What range of years contains the middle 68% of all battery shelf lives?
Answer:
4.5 years ; (3.25, 4.75)
Step-by-step explanation:
Given that :
Mean , m = 4
Standard deviation, s = 0.75
The upper quartile, which is the 3rd quartile of a standard normal distribution is 0.67
Therefore, the upper quartile Q3:
Q3 = mean + 0.67 * standard deviation
Q3 = 4 + 0.67(0.75)
Q3 = 4 + 0.5025
Q3 = 4.5025
Q3 = 4.5 years
Range of values that contain the middle 68%
According to the empirical rule;
68% is within 1 standard deviation of the mean
Therefore ;
Interval will be ;
Mean ± 1 standard deviation
(4 - 0.75) ; (4 + 0.75)
(3.25, 4.75)
Mrs. Davis has 54 dollars and 50 cents saved, she will save 33 dollars and twenty-five cents each week for the next 30 weeks, she will not spend any of the money, how many dollars will miss Davis have saved after 30 weeks.
Answer:
$1,053.50
Step-by-step explanation:
First you need to multiply $33.30 by 30 so you can figure out how much she'll save over the next 30 weeks. You will get $999. Then you add $54.50 and $999 together to get 1,053.50.
please help me in this question
Answer:
m= 4Step-by-step explanation:
(-5)^(m + 3) × (-5)^8 = (-5)^15(-5)^(m + 3 + 8) = (-5)^15(-5)^(m + 11) = (-5)^15m + 11 = 15m = 4Solve for x check the picture
Answer:
x = 21
Step-by-step explanation:
2x and 42 are alternate angles and are congruent, so
2x = 42 ( divide both sides by 2 )
x = 21
If you roll a number cube two times, what is the probability of rolling an even on the first roll and a four on the second roll?
Answer:
1/12
Step-by-step explanation:
Probability is a ratio derived as the number of possible outcomes divided by the total outcome.
On a number cube, the even sides are 2, 4 and 6. This means that the possible outcome for rolling an even is 3 while the total outcome is 6. Hence the probability of rolling an even P(E)
= 3/6
The probability of rolling a 4 P(4)
= 1/6 (4 appears on one side)
Hence the probability of rolling an even on the first roll and a four on the second roll
P(En4) = 3/6 * 1/6
= 3/36
= 1/12
10 x L - 9 + -2P im stuck there
Answer:
thx this really helps
Step-by-step explanation:
PLEASE ANSWER ASAP FOR BRAINLIEST!!! A triangle has side lengths of 17 cm and 8 cm. Which could be the value of the third side, 28 cm or 23 cm? The value (select) v cm is the value of the third side.
Answer:
23
Step-by-step explanation:
The sum of any two sides of a triangle has to be greater than the other side
Only 23 meets this criteria
Answer:
i think it is 23
There are 320 students in a school, There are 36 more boys than girls. What fraction of the students are boys?
Answer:
89/160
Step-by-step explanation:
Total number of students= 320
Total number of students=x+y=320
Let x= number of boys
Let y= number of girls
If there are 36 more boys than girls:
36+y=x
x+y=320 ( given x= 36+y)
36+y+y=320
36+2y=320
2y=320-36
2y=284
y=284/2
y=142
Therefore number of girls=142
Since 36+y=x
36+142=x
x=178
Therefore number of boys =178
Fraction of students that are boys=
178/320
89/160
Cheyenne is playing a board game. Her score was −225 at the start of her turn, and at the end of her turn her score was −405. What was the change in Cheyenne's score from the start of her turn to the end of her turn?
The change was__ points
Find the slope of the line that contains the pair of points: (6,3)
Answer:
1/2
Step-by-step explanation:
Let the coordinate points be (6,3) and (4,2)
Slope = y2-y1/x2-x1
x1 = 6, y1 = 3, x2 = 4 and y2 =2
Substitute
slope = 2-3/4-6
Slope = -1/-2
Slope = 1/2
Hence the slope of the coordinate is 1/2
Note that the other Coordinate was assumed
Tell whether the number is prime or composite.
68
Answer:It's composite
Step-by-step explanation:It's composssssiiiiitttteeeee
In 5 + In x = 1
this is from my algebra 2 class and we just have to solve
Answer:
2
Step-by-step explanation:
In 5 + In x = 1
In 5 + In x = In 10 (Because In 10 = 1)
In(5x) = In 10
5x = 10
x = 10/5
x = 2
I need helppp soo like yeah
Answer:
x = 30°
Step-by-step explanation:
Since 2 of the sides are congruent then the triangle is isosceles and the 2 base angles are congruent, both 75°
The sum of the 3 angles in a triangle = 180°, then
x = 180° - (75 + 75)° = 180° - 150° = 30°
show that (X+1)(x+3)(x+5)=ax3+bx2+cx+d
Answer:
a = 1
b = 9
c = 23
d = 15
Step-by-step explanation:
Expand it out:
(x^2 + 4x + 3)(x+5)
(x^3 +4x^2 +3x + 5x^2 + 20x + 15)
=x^3 + 9x^2 + 23x +15
someone please help me, i don’t understand this
Answer:
1.b
2.c
3.e
4.d
5.a
Step-by-step explanation:
Answer:
So the first one is B
The second is C
the third is E
The fourth is D
and the fifth is A
Step-by-step explanation:
Hope this helped
A rectangular prism has a length of 10ft, a height of 3ft, and a width of 4ft. What is its volume, in cubic ft?
Answer:
120
Step-by-step explanation:
deltamath
120 cubic ft is the volume of rectangular prism having a length of 10ft, a height of 3ft, and a width of 4ft
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
A rectangular prism is a 3D figure with 6 rectangular faces.
Given, rectangular prism has a length of 10ft, a height of 3ft, and a width of 4ft.
To find the volume of rectangular prism we have to multiply length, width and height.
Volume =Length×Width×Height
Put the values of length, width and height in the above formula.
=10×4×3
=120 cubic ft
Hence 120 cubic ft is the volume of rectangular prism having a length of 10ft, a height of 3ft, and a width of 4ft
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
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Solve:
4(-6) =
-9(5) =
-1.5(-7) =
Answer:
5
Step-by-step explanation:
A spinner has five sections. The table below shows the results of 60 spins.
based on the table, what is the probability the spinner lands in section U or section X on the next spin
answer choices
a. 13%
b. 17%
c. 30%
d. 50%
Answer:
D
Step-by-step explanation: