Answer:
x = 2 and x = -3
Step-by-step explanation:
We need to find the value of x in the below expression.
[tex]\sqrt{x+7} -1=x[/tex]
Adding 1 to both sides,
[tex]\sqrt{x+7} -1+1=x+1\\\\\sqrt{x+7}=x+1[/tex]
Squaring both sides,
[tex]x+7=(x+1)^2\\\\x+7=x^2+1+2x\\\\x^2+1+2x-x-7=0\\\\x^2+x-6=0\\\\x=2\ and\ -3[/tex]
Hence, this is the required solution.
[tex]\bf\huge x=2 [/tex]
Step-by-step explanation:
Given that :[tex]\sqrt{x+7} -1=x\\[/tex]to find :[tex]\sqrt{x+7} -1=x\\[/tex]explanation :⟼ [tex]\sqrt{x+7} -1=x\\[/tex]
⟼ √x + 7 = x + 1
⟼ x + 7 = x² + 2x + 1
⟼ x + 7 - x² - 2x - 1 = 0
⟼ -x + 6 -x² = 0
⟼ x² + x - 6 = 0
⟼ (x-2) (x+3) = 0
⟼ x = 2 and x = -3
When x = -3 the original equation √x+7-1 = x does not hold true. We will drop x = -3 from the solution set.Therefore,
⟼ x = 2.
verification :⟼ let take x = 2
⟼ [tex]\sqrt{x+7} -1=x\\[/tex]
⟼ √2+7 - 1 = 2
⟼ √9 - 1 = 2
⟼ 3 - 1 = 2
⟼ 2 = 2
hence verified ☑️What is the distance between (5, 5) (5, -2)
Answer:
7 units
Step-by-step explanation:
To find the distance between a pair of points, use the distance formula, [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]. Substitute the x and y values of (5,5) and (5, -2) into the formula and simplify:
[tex]d= \sqrt{(5-5)^2+(5+2)^2} \\d = \sqrt{(0)^2+(7)^2} \\d = \sqrt{0+49} \\d = \sqrt{49}\\d=7[/tex]
So, the answer is 7 units.
Find the volume of the pyramid.
I will ONLY give you a brainliest if your answer is CORRECT!
Answer:
72 cm³
Step-by-step explanation:
Volume of a triangular pyramid = a*(h/3), where a is the area of the base triangle and h is the height from the base to the highest point.
We need to first find a, the area of the bas triangle:
Area of triangle = (1/2)bh, where b is the length of the base and h is the perpendicular height.
a = (1/2)12*4
a = 6*4
a = 24 cm²
Knowing a, we can know find the volume:
Volume = a*(h/3)
= 24*(9/3)
= 24*3
= 72 cm³
Can I get answer please
A car manufacturer has two production plants in different cities. Every day, plant A produces 120 of a certain
type of car, while plant B produces 80 of those cars. On average, all of these cars have a paint thickness of
0.04 mm with a standard deviation of 0.003 mm.
Every day, quality control experts take separate random samples of 10 cars from each plant and calculate the
mean paint thickness for each sample. They then look at the difference between those sample means.
Consider the formula:
031-32 =
02
+
ni 12
Why is it not appropriate to use this formula for the standard deviation of TA
IB?
Answer: We cannot assume independence for the cars sampled from plant B.
Step-by-step explanation: Khan Academy “With a sample size of 10 cars, we need at least 100 cars in the population to assume independence based on the 10% condition, but there are only 80 cars made each day at plant B.”
Answer: We cannot assume independence of the cars sampled from plant B.
Step-by-step explanation:
complete the table for the equation. plz helppp
Find the surface area.
Answer:
1120
Step-by-step explanation:
area of triangle= 1/2★base★height
area of traingle =1/2★15★8=60
area of 2 triangle= 60+60=120
area of base rectangle= length ★breath
=15★25=375
area of slanting rectangle= 25★17=425
area of side rectangle=8★25=200
so total area= 120+375+425+200=1120
The length, 1, of a wheelchair ramp is 3 more than 11
width, w. Which equation represents the relationship between
the length and the width of the ramp?
Answer: the length is 8
Step-by-step explanation: Because 11 minus 8 is 3
(d) State any two(2) properties of a semiconductor material.
Answer:
Semiconductors are somewhere in-between conductors and insulators. This means that they are specific when it comes to conducting electricity meaning that their conduction of electricity varies based on their condition at the time.
For instance, they can conduct electricity when heated.
Properties:
1. Perfect insulator at Absolute Zero.
As mentioned above, semi conductors are better at conducting electricity when they are heated. At Absolute zero - the lowest temperature possible - therefore, these materials would conduct absolutely no electricity thereby making them perfect insulators.
2. More resistance than Conductors but less than Insulators
As mentioned above, they have properties in-between those of insulators and conductors. One of those is their resistance. They can resist more than conductors but less than insulators.
(q8) Find the volume of the solid obtained by rotating the region bounded by
, and the x-axis about the y axis.
Rotating the area enclosed by, and the x-axis about the y axis yields the solid's volume, which is [tex]9\pi[/tex]. option C.
The cylindrical shell method can be used to determine the solid's volume after rotating the region enclosed by the curves x = 3y, x = 3, and the x-axis about the y-axis.
Let's begin by mapping the area:
The parabola that opens to the right and passes between the points (0,0) and (9,3) is represented by the curve x = 3y.
The volume element must be expressed in terms of y in order to set up the integral. Imagine rotating a narrow strip of material with width dy along the y-axis to create a cylindrical shell.
The tallness of theThe difference between the x-values of the curves x = 3 and x = 3y yields the cylindrical shell:
h = 3 - (3√y) = 3(1 - √y)
The distance between the y-axis and the curve x = 3y, denoted by the symbol r, and the circumference of the cylindrical shell is 2r. Here, r equals 3y.
The volume element is thus:
dV = 2π(3√y)(3(1 - √y)) dy
The integral may now be set up to determine the entire volume:
V = ∫[0,3] 2π(3√y)(3(1 - √y)) dy
This integral can be simplified to give us the solid's volume. After analysing the integral, we determine that is the right response. 9 cubed units.option C
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QUESTION 6 1 POINT
Using the table, what is the average daily balance of the credit card for the August 1 through August 31 billing period?
Round your answer to the nearest dollar.
Provide your answer below:
Day
1
8
16
24
Activity
Payment
Purchase
Purchase
Adjustment Closing Balance
-550
4
+200
+150
850
300
500
650
Rounded to the nearest dollar, the average daily balance of the credit card for the August 1 through August 31 billing period is $74.
To find the average daily balance of the credit card for the August 1 through August 31 billing period, we need to calculate the sum of the daily balances and divide it by the number of days in the billing period.
Let's calculate the daily balances for each day:
Day 1: Closing Balance = $850
Day 8: Closing Balance = $300
Day 16: Closing Balance = $500
Day 24: Closing Balance = $650
To calculate the daily balances, we need to consider the activities that occurred on each day.
On Day 1, there was no activity recorded, so the closing balance remains at $850.
On Day 8, a payment of $550 was made. Therefore, the closing balance is $850 - $550 = $300.
On Day 16, a purchase of $200 was made. Therefore, the closing balance is $300 + $200 = $500.
On Day 24, a purchase of $150 was made and an adjustment of $4 was applied. Therefore, the closing balance is $500 + $150 - $4 = $650.
Now, let's calculate the average daily balance:
Sum of daily balances = $850 + $300 + $500 + $650 = $2300
Number of days in the billing period = 31
Average daily balance = Sum of daily balances / Number of days = $2300 / 31 ≈ $74.19
For more such questions on balance
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Three gears are arranged as shown in the figure. Find angle θ.
Answer:
Answer: 111∘
Step-by-step explanation:
Find x and y thank you for you’re help
Answer:
y = 18
x = 15.588
Find the Value of x. I WILL GIVE YOU BRAINLIEST!!!!! +to the person who answers first)
Answer:
hi
Step-by-step explanation:
5x+10+2x+10+90=180
5x+2x=180-10-10-90
7x=70
x=10
have a nice day
If I get paid $5 for every 10 minutes, how much do I get paid an hour?
Step-by-step explanation:
30$ hope it helped I don't know if its correct though let me know if I'm wrong
ITS DUE TODAY PLS HELP
The circumference of the ball is 9.4 inches. What is the approximate surface area and volume of the ball? Round your answers to the nearest unit.
The surface area of the ball is approximately
square inches
The volume of the ball is approximately
cubic Inches
Answer:
i. The surface area of the ball is approximately 28.0 square inches.
ii. The volume of the ball is approximately 14.0 cubic inches.
Step-by-step explanation:
The ball has the shape of a sphere, so that;
C = 2[tex]\pi[/tex]r
9.4 = 2 x [tex]\frac{22}{7}[/tex] x r
65.8 = 44r
r = [tex]\frac{65.8}{44}[/tex]
r = 1.50 inches
The radius of the ball is 1.50 inches.
i. Surface area of a sphere = 4[tex]\pi[/tex][tex]r^{2}[/tex]
So that,
surface area of the ball = 4 x [tex]\frac{22}{7}[/tex] x [tex](1.5)^{2}[/tex]
= 28.2857
The surface area of the ball is approximately 28.0 square inches.
ii. Volume of the ball = Volume of a sphere = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
Volume of the ball = [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](1.5)^{3}[/tex]
= 14.1429
The volume of the ball is approximately 14.0 cubic inches.
Maria and Ming start at the same point and drive in opposite directions. Maria drives 54 mph and Ming drives 48 mph. How far apart will they be in 3 hours?
Answer:
Step-by-step explanation:
Remark
They are going in opposite directions. That means you add the distances.
Total Distance = Maria_d + Ming_d
Ming
d = ?
r = 48 mph
t = 3 hour
d = r * t
d = 48 * 3
d = 144 miles
Maria
d = ?
r = 54 miles / hour
t = 3 hours
d = r * t
d = 54 * 3
d = 162
Total distance
Total = 162 + 144
Total = 306 miles
geometry math help plz answer all questions
Find the distance between the two points rounding to the nearest tenth (if
necessary).
(3,6) and (1,8)
Help pls i'm lost i really need help
On a super clearance sale, bathing suits were marked 85% off. What is
the sale price of a bathing suit that was originally priced $60?
Answer: $9
Step-by-step explanation: 85% off means when you multiply the number by 0.85 you subtract that from the original number, 60 times 0.85 is 51 and 60-51=9! Hope this helps!
What is the value of the exponential expression below?
36 1/2
Answer:
D. 6
Step-by-step explanation:
[tex]36 {}^{ \frac{1}{2} } = \sqrt{36} = 6[/tex]
Open Picture Need Help With 11 & 12
Answer:
Step-by-step explanation:
7). (x + 3)(x + 7)
= x(x + 7) + 3(x + 7)
= x² + 7x + 3x + 21
= x² + 10x + 21
8). (4x + 2)(x - 2)
= 4x(x - 2) + 2(x - 2)
= 4x² - 8x + 2x - 4
= 4x² - 6x - 4
9). (3x + 2)(2x + 5)
= 3x(2x + 5) + 2(2x + 5)
= 6x² + 15x + 4x + 10
= 6x² + 19x + 10
10). (x² - 6)(x - 4)
= x²(x - 4) - 6(x - 4)
= x³ - 4x² - 6x + 24
11). (x² + 9)(x - 3)
= x²(x - 3) + 9(x - 3)
= x³ - 3x² + 9x - 27
12). (4x²- 4)(2x + 1)
= 4x²(2x + 1) - 4(2x + 1)
= 8x³ + 4x² - 8x - 4
I need these answers
Answer:
Volume of triangular prism = 126 cm³
Step-by-step explanation:
Given:
Base of side triangle = 6.3 cm
Height of triangular prism = 4 cm
Length of side = 10 cm
Find:
Volume of triangular prism
Computation:
Volume of triangular prism = Area of triangular cross section x Length of side
Volume of triangular prism = (1/2)(b)(h) x Length of side
Volume of triangular prism = (1/2)(6.3)(4) x 10
Volume of triangular prism = (6.3)(2) x 10
Volume of triangular prism = 12.6 x 10
Volume of triangular prism = 126 cm³
joann is having a party. she wants to make punch. the recipe for punch uses 4 pints of orange juice, 5 cups of apple juice, 1/2 galloon of lemonade and 2 quarts of pinapple juice. Joann decides to pour her punch into 1- quart containers to fit in her refrigerator until the party starts. She has eight 1 - quart containers. Will all of her punch fit into the containers?
HELP HELP HELP THIS IS DUE TODAY PLZZ HELP ME 1. Plot and label the temperatures on a number line. You can create it by using a drawing program, by drawing it by hand and sending in a picture, or by describing in detail how the completed number line should look.
Answer:
What's the the temperatures?
Step-by-step explanation:
NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ
Answer:
0.3
Step-by-step explanation:
in theory the chance to get heads is 0.5 however only two of the coin flips resulted in heads so the experimental probability is 0.2. the difference between these is 0.3.
Answer:
the correct answer is D because you have got 10flips with 2head the probability for it 2/10 or 0.02 and you know we don't always get the same result as always, and you wanna add some for the reason and you got 0.03 ( ◜‿◝ )♡
Will give BRAINLIEST
Answer:
It’s 330
Step-by-step explanation:
Just multiply 440 by 0.75 and you would get 330. Have a nice day!
QUICK 20 POINTS !!
Use the equation machine to solve this equation.
x = __
Answer:
x=2 (-7 , then -5 for the drag part)
Answer:
2
Step-by-step explanation:
What is the range of the function y=3√√x+8 1x
Answer:
The range of the function is: -∞≤y≤∞.
Consider the provided function.
The range of the function is the set of all values which a function can produce or the set of y values which a function can produce after substitute the possible values of x.
The range of a cubic root function is all real numbers.
Now consider the provided function.
The above function can be written as:
Taking cube on both sides.
The graph of the function is shown in figure 1:
For any value of x we can find different value of y.
Here, the cube root function can process negative values. Since, the function can produce any values, the range of the given function is -∞≤y≤∞ .
Therefore, the range of the function is: -∞≤y≤∞ (A).
5 cm
1 cm
1 cm
2 cm
4 CM
The perimeter of this shape is
13 cm
18 cm
20 cm
22 cm
Answer:
the perimeter of the shape is 13cm
Step-by-step explanation:
Perimeter is the distance round a shape. As for polygons perimeter is the sum of all the sides. In this polygon, the sum of all the sides is 5cm + 1cm + 1cm + 2cm + 4cm which is equal to 13cm