Answer:
−
2
g
+
20
h
+
1
Step-by-step explanation:
Answer:
Its 13
Step-by-step explanation:
Let f(x) = x^2 - 2 and h(x) = x - 1;
compute h(f(2))
Answer:
1
Step-by-step explanation:
2^2-2=2
2-1=1
hopefully you will find it helpful
does 1, 2, 5 from a right triangle
9514 1404 393
Answer:
no
Step-by-step explanation:
The two short sides, 1 and 2, do not have a sum greater than the long side, 5, so these lengths do not form any sort of triangle.
__
Lengths 1, 2, √5 satisfy the Pythagorean theorem, so will form a right triangle.
1² +2² = (√5)²
1 + 4 = 5 . . . . . . Pythagorean theorem is satisfied
a, b, and c are positive real numbers;
a×b= 5742×6368
a×c= 5748×6362
c×b= 5738×6372
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And please clarify your answers in a simple language
Given the equations a × b = 5742 × 6368, a × c = 5748 × 6362, and c × b = 5738 × 6372, we need to determine the relationship between the three variables a, b, and c.
By comparing the given equations, we notice that the numbers on the right-hand side of each equation are very close to each other, differing only by small amounts. This suggests that a, b, and c are approximately equal.Since a × b, a × c, and c × b involve the same numbers with slight variations, we can conclude that a, b, and c are all very close in value.
Therefore, the inequality we can infer from this information is a ≈ b ≈ c, indicating that a, b, and c are approximately equal.
In simple terms, based on the given equations, it suggests that the values of a, b, and c are very similar or approximately equal to each other.
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Convert the following equation
into standard form.
y = -7x/2 - 3
Answer:
7x + 2y = - 6
Step-by-step explanation:
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
given
y = - \(\frac{7}{2}\) x - 3 ( multiply through by 2 to clear the fraction )
2y = - 7x - 6 ( add 7x to both sides )
7x + 2y = - 6 ← in standard form
Solve g(x) = 10, if g(x) = 2/x+1
Answer:
x = -0.8.
Step-by-step explanation:
To solve for x in the equation g(x) = 10, we need to find the value of x that makes g(x) equal to 10. Since we are given that g(x) = 2/x+1, we can substitute this expression for g(x) in the equation g(x) = 10 to get:
2/x+1 = 10
Next, we can multiply both sides of the equation by x+1 to get rid of the fraction on the left side:
2 = 10 * (x+1)
This simplifies to 2 = 10x + 10, which we can rearrange to get 2 - 10 = 10x. Subtracting 10 from both sides gives us -8 = 10x. Finally, dividing both sides by 10 gives us the solution: x = -0.8.
Therefore, the value of x that makes g(x) equal to 10 is x = -0.8.
Anu was checking her emails she casually told her friend siting next to her the ratio of unread emails in my inbox is 4:1 The total number of emails is 120 what is the number of unread emails in her inbox
In a case whereby Anu was checking her emails and she casually told her friend siting next to her the ratio of unread emails in my inbox is ratio 4:1 where the total number of emails is 120 then the number of unread emails in her inbox is 96mails.
How can the unread mails be calculated?The concept that will be used here is ratio. An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls)
The total mails in her box is 120
The we can represent the unread mails as 4x and read mails be 1x
This can be expressed as :
(4x+1x)=120mails
5x=120mails
x=120/5
x=24
This implies that the uread mails(4×24)
=96mails
Then the number of the read mail =(1×24)=24mails
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Give your answer in scientific notation using only WHOLE numbers.
The number of pennies weighing as much s earth is 193 × 10²⁴
What are index forms?Index forms are described as described as those forms that are used to represent numbers that are too large or small in more proper ways.
Other names for index forms are scientific notation and standard forms.
What is ratio?Ratio is described as the comparison of numbers or variables on the basis of their size.
It shows how many times one number contains another.
From the information given, we have that;
The earth weighs = 5. 972 × 10 ²⁴ kilograms
The penny weighs = 3.1 × 10 ⁻³ kilograms
Divide the values
= 5. 972 × 10 ²⁴/3.1 × 10 ⁻³
= 1.93 × 10 ²⁶
= 193 × 10²⁴
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Find each difference
(- 13n ) - ( 17 - 5n)
Tublu buys a cylindrical water tank of height 1.4m and diameter 1.1m to catch rainwater off his roof. He has a full 2 litres tin of paint in his store and decides to paint the tank (not the base). If he uses 250 ml to cover 1 m2, will he have enough paint to cover the tank with one layer of paint? [take π=3.142] Tublu buys a cylindrical water tank of height 1.4m and diameter 1.1m to catch rainwater off his roof. He has a full 2 litres tin of paint in his store and decides to paint the tank (not the base). If he uses 250 ml to cover 1 m2, will he have enough paint to cover the tank with one layer of paint? [take π=3.142]
Answer:
Step-by-step explanation:
Height of the cylinder = 1.4 m
diameter of the cylinder = 1.1 m
Tublu has a full 2 litre tin of paint
Assume that the tank has an open top to allow the capturing of rainwater.
Also, Tublu does not need to paint the base of the tanks.
Tublu needs 250 ml to cover 1 m^2 of the tank body
Only the body of the tank is to be painted, so we find the perimeter of the tank body.
from basic circle mensuration, perimeter of the tank body = \(\pi d\)
where d is the diameter of the tank
==> 3.142 x 1.1 = 3.456 m
If we imagine that this perimeter of the tank body is spread out, it will form a rectangle with a height of 1.4 m from the base.
The area of this rectangle that will be formed = (perimeter of the cylinder body) x ( height of the cylinder)
==> 3.456 x 1.4 = 4.838 m^2
this area is the area of the tank that needs to be painted.
Now we convert the 250 ml to litre, we'll have
250 ml = 250 x 10^-3 litres = 0.25 litres
Since 250 ml or rather 0.25 litres of paint is needed to cover 1 m^2 area of the tank's body, then, we will need
==> 4.838 x 0.25 = 1.21 litres of paint
Since Tublu has a full 2 litres tin of paint, and he needs 1.21 litres to cover the body of the tank, then we can say that Tublu has more than enough paint to cover the tank surface in one layer coating.
Finde the value of x in the proportion ( 5x+ 1 ):3 =(2x +2): 7(6 x) = (4x) :7
In the proportion (5x + 1):3 = (2x + 2):7, the value of x is -1/29.
In the proportion (6x):(4x) = 7, there is no value of x that satisfies the proportion.
To find the value of x in the given proportions, let's solve them one by one:
(5x + 1) : 3 = (2x + 2) : 7
To solve this proportion, we can cross-multiply:
7(5x + 1) = 3(2x + 2)
35x + 7 = 6x + 6
Subtracting 6x from both sides and subtracting 7 from both sides:
35x - 6x = 6 - 7
29x = -1
Dividing both sides by 29:
x = -1/29
Therefore, the value of x in the first proportion is -1/29.
(6x) : (4x) = 7
To solve this proportion, we can simplify the left side:
6x / 4x = 7
Dividing both sides by 2x:
3/2 = 7
This equation is not true, as 3/2 is not equal to 7.
Therefore, there is no value of x that satisfies the second proportion.
In summary, the value of x in the proportion (5x + 1) : 3 = (2x + 2) : 7 is -1/29, and there is no value of x that satisfies the proportion (6x) : (4x) = 7.
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Question 9 of 60
Which symbol correctly compares the fractions below? 3/7 ? 4/14
O A. =
B. >
O C. <
OD. None of these are correct.
SUBMIT
Use the image to determine the direction and angle of rotation.
graph of triangle ABC in quadrant 4 and a second polygon A prime B prime C prime in quadrant 2
90° clockwise rotation
90° counterclockwise rotation
180° clockwise rotation
270° counterclockwise rotation
The angle of rotation for the described transformation is
180° clockwise rotationHow to know the angle of rotationThe movement or transformation described is form quadrant 4 to quadrant 2.
The transformation will require 180 degrees transformation.
In this type of transformation, both clockwise and the counter clockwise have similar effects
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In a certain science experiment, it was required to estimate the nitrogen
content of the blood plasma of a certain colony of rats at their 37th day of age.
A sample of 9 rats was taken at random and the following data was obtained
(grams per 100cc of plasma):
0.98, 0.83, 0.99, 0.86, 0.90, 0.81, 0.94, 0.92, and 0.87.
Find the estimates for the average content and the variation in nitrogen
content in the colony.
The estimates for the average content is 0.9.
The variation in nitrogen content in the colony is 0.0036.
What is the average of a data set?
The average of a data set or the mean of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.
The sum of the data set is calculated as follows;
total = 0.98 + 0.83 + 0.99 + 0.86 + 0.9 + 0.81 + 0.94 + 0.92 + 0.87
total = 8.1
The estimated average of the nitrogen content = 8.1/9 = 0.9
The deviation of each data from the mean;
= (0.98 - 0.9), (0.83 - 0.9), (0.99 - 0.9), (0.86 - 0.9), (0.9 - 0.9), (0.81 - 0.9), (0.94 - 0.9), (0.92 - 0.9), (0.87 - 0.9)
= 0.08, -0.07, 0.09, -0.04, 0, -0.09, 0.04, 0.02, -0.03
The sum of the square of each data from the mean;
= (0.08)² + (-0.07)² + (0.09)² + (-0.04)² + (0.0)² + (-0.09)² + (0.04)² + (0.02)² + (-0.03)²
= 0.032
The variation of the data sample = (0.032)/9 = 0.0036
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Find x. √11 X = √17 VIRI X
1.243 is the measure of the value of x from the given expression
Solving rational equationsRational equations are those that contain rational expressions. A rational expression is a fraction with polynomial numerator and denominator. A rational expression, in other terms, is a ratio between two polynomials.
Given the following rational equation
√11 x = √17
We need to determine the measure of the value of x.
Taking the square of both sides we will have:
(√11 x)² = (√17)²
11x² = 17
x² = 17/11
x² = 1.545
Take the square root of both sides
√x² = √1.545
x = 1.243
Hence the measure of the value of x from the given equation is 1.243.
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Hello I'm in a math test and I really need help so please answer
Answer:
u
Step-by-step explanation:
Answer:
U
Explanation:
That’s just how it is. :)
Q1) (a) (i) Write x²+8x-9 in the form (x+k)² +h.
PLEASE ANSWER QUICKLY!!!!!
Answer:
(x+4)^2 -25
Step-by-step explanation:
x²+8x-9 in the form (x+k)² +h.
We need to complete the square.
x^2 +8x -9
Take the coefficient of x.
8
Divide by 2.
8/2 =4
Square it.
4^2 = 16
Add this then subtract i.
x^2 +8x+16 -16 -9
The x^2 +8x+16 becomes (x+4) ^2 and we can simplify the remaining terms.
(x+4)^2 -25
middle school math problem.....
Answer:
hi bro how are yuo join this meeting i will say you ans
Step-by-step explanation:
Answer:
Part A: 27.32
Part B: 4.92
Step-by-step explanation:
25.30*.08(or 8%) is equal to 2.024
25.30+2.024=27.324=27.32
32.24-27.32=4.92
help please rn please help
Answer: the answer is MO=5
Step-by-step explanation:
Assume your home is assessed at $245,000. You have a $171,000 loan for 25 years at 6 percent. Your property tax rate is 1.4 percent of the assessed value. In year one, you would pay $10,260 in mortgage interest and $3,430 in property tax (1.4 percent on $245,000 assessed value).
Answer: $3,833.20
Step-by-step explanation:
Mortgages interest and property tax are both federal deductions so they will reduce taxes:
= 10,260 + 3,430
= $13,690
The tax saving is therefore:
= 13,690 * tax rate
= 13,690 * 28%
= $3,833.20
-2x + 9y=-41 and -2x -5y =1
7. During a sale at the Honda dealership, Mr. Sherman notices the great 10 points
sales price ($33,500) and purchases two cars for his daughters. What will
he pay in total for the two cars, including 8.875% sales tax?
A. $72,946.25
B. $36,473.13
C. $41,372.50
D. $82,745
Answer: A
Step-by-step explanation:
First you add up the total prices of both cars
$67,000
Next find 8.875% of that and add to total price of both cars
Answer= $72,946.25
Evaluate the expression, showing work please
5((8+2)+3(6-3))
Answer:
The answer is 59
Step-by-step explanation:
5(8+2)+3(6-3)
5*8=40
5*2=10
3*6=18
3*-3=-9
(40+10)+(18-9)
50+9=59
2x {3x [40 - (I0 x 2)]} = ?
the answer its 120 hope helps you
Given the circle below with chords FG and HI. Find the length of FJ. Round to the nearest tenth if necessary. 9-4 H 21 F J 26 25 G T
Based on the information, EFH and GHF does not have to be congruent.
What are congruent angles?Congruents angles are presented in the figure below. Congruent angles are angles that have the same measure or size. When two angles are congruent, they look exactly the same, even if they are in different orientations.
The symbol used to represent congruence is an equals sign with a tilde above it, like this: ≅. For example, if angle A and angle B have the same measure, we can write it as:
angle A ≅ angle B
Congruent angles play an important role in geometry because they allow us to compare and analyze different shapes and figures. In particular, when two angles are congruent, we can use this fact to make conclusions about other angles and sides of a shape.
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In circle O shown, points E, F, G, and H lie on the circle asshown and chords FH and GE intersect at J. Based on thisinformation alone, which two angles below do not have tobe congruent?m(1) angle FJE and angle HJG(2) angle EFH and angle HGE(3) angle EFH and angle GHF(4) angle FEG and angle FHG
Alyana needs to buy a piece of glass to cover the top of a circular table. The table has a diameter of 24 inches. How much glass is needed for the job? [Use pi = 3.14] *
Answer:
452.16 inches²
Step-by-step explanation:
→ Write circle area formula
π × r²
→ Substitute in the numbers
3.14 × 12²
→ Simplify
452.16 inches²
64 players started how many left after 3 rounds
Answer: 8
Step-by-step explanation:
I do not understand the question. But if my interpretation is correct, then:
If there are 64 players and 3 rounds, 32 will get out in the first round. 16 will get out in the second, and 8 will get out on the third. Thus, the answer is 64-(32+16+8) or just simply 8.
Is 12 x 2-5/6 greater than, less than or equal to
Answer: 5/6 will be greater than 5/8.
Step-by-step explanation:
Please help!!!!!!!!!
The equation of the line passing through two points is given by the point-slope form of the equation of a line, where m is the slope of the line and (x1, y1) is any point on the line. Plugging in the coordinates, we get: m = (-4 - 8) / (-4 - 2)m = -12 / -6m = 2. Now we can use one of the points to write the equation, which is y = 2x + 4.
What is the slope of the line?The slope of the line passing through the points (2, 8) and (-4, -4) is 2.
To find the equation of the line passing through two points, we need to use the point-slope form of the equation of a line. This form is given by:
y - y1 = m(x - x1)
where m is the slope of the line, and (x1, y1) is any point on the line.
First, we need to find the slope of the line passing through the points (2, 8) and (-4, -4). The slope of a line passing through two points (x1, y1) and (x2, y2) is given by:
m = (y2 - y1) / (x2 - x1)
Plugging in the coordinates, we get:
m = (-4 - 8) / (-4 - 2)
m = -12 / -6
m = 2
Now that we have the slope, we can use one of the points to write the equation of the line. Let's use the point (2, 8). Plugging in the values, we get:
y - 8 = 2(x - 2)
Simplifying this equation, we get:
y - 8 = 2x - 4
y = 2x + 4
Therefore, the equation of the line that passes through the points (2, 8) and (-4, -4) is y = 2x + 4.
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An electrician wants to know whether batteries made by two manufacturers have
significantly different voltages. The voltage of 108 batteries from each manufacturer
were measured. The population standard deviations of the voltage for each
manufacturer are known. The results are summarized in the following table.
Manufacturer Sample mean voltage (millivolts) Population standard deviat
A
B
179
178
1
What type of hypothesis test should be performed? Select
What is the test statistic? Ex: 0.12
Does sufficient evidence exist to support the claim that the voltage of the batteries made
by the two manufacturers is different at the a= 0.05 significance level?
The appropriate hypothesis test is a two-sample t-test for independent samples.
The appropriate hypothesis test in this scenario is a two-sample t-test for independent samples. Since the population standard deviations are known, we can use the Z-test instead.
The test statistic can be calculated using the formula:
t = (x1 - x2) / sqrt((s1^2 / n1) + (s2^2 / n2))
Where:
x1 and x2 are the sample means for Manufacturer A and Manufacturer B, respectively.
s1 and s2 are the population standard deviations for Manufacturer A and Manufacturer B, respectively.
n1 and n2 are the sample sizes for Manufacturer A and Manufacturer B, respectively.
Plugging in the given values:
x1 = 179, x2 = 178, s1 = 1, s2 = 5, n1 = n2 = 108
t = (179 - 178) / sqrt((1^2 / 108) + (5^2 / 108))
t = 1 / sqrt(0.00926 + 0.0463)
t ≈ 1 / sqrt(0.05556)
t ≈ 1 / 0.2357
t ≈ 4.241
To determine whether there is sufficient evidence to support the claim that the voltage of the batteries made by the two manufacturers is different, we compare the calculated t-value to the critical value from the t-distribution at the desired significance level (0.05).
The decision depends on the degrees of freedom for the test, which is calculated as (n1 + n2 - 2) = (108 + 108 - 2) = 214.
Using a t-table or statistical software, we find that the critical value for a two-tailed test with a significance level of 0.05 and 214 degrees of freedom is approximately ±1.972.
Since the calculated t-value of 4.241 exceeds the critical value of 1.972, we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that the voltage of the batteries made by the two manufacturers is different at the 0.05 significance level.
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Select all ratios that are equivalent to 4:5.
Answer:
The two equivalent ratios of 4:5 are 8:10 and 12:15
Hope this helps!
Answer:
8 : 10 and 12 : 15
Hope this helps :)