The value of the function g(h(10)) will be 2√2.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
Given that g(x) is √(x-4) and h(x) is 2x - 8. The value of the function g(h(10)) will be calculated as:-
h(x) = 2x - 8
At x = 10 the value of the function h(x) will be:-
h(10) = ( 2 x 10 ) - 8
h(10) = 20 - 8
h(10 ) = 12
Calculate the value of the function g(h(10)):-
g(h(10)) = √(x-4)
g(h(10)) = √(h(10)-4)
g(h(10)) = √( 12 -4 )
g(h(10)) = √( 8 )
g(h(10)) = 2√2.
Therefore, the value of the function g(h(10)) will be 2√2.
To know more about functions follow
https://brainly.com/question/27918659
#SPJ2
Rafa went to Lone Star Auto who charges $35 for each car plus $7 per hour. If Rafa's bill was $63, how many hours did he get his car worked on?
Answer: 4 hours
Step-by-step explanation:
Given
Auto charge a fixed amount of $35
and $7 per hour
Rafa bill was $63
Suppose Rafa travels for x hours. So, we can write
[tex]\Rightarrow 63=35+7x\\\Rightarrow 28=7x\\\Rightarrow x=4\ \text{hour}[/tex]
A 7-meter by 7-meter square is reduced so that each side is half as long as the original.
a. Describe the new square. (Side length)
b. Write the ratio of the perimeters in the order New:Original.
c. Write the ratio of the areas in the order New:Original.
Answer:
Step-by-step explanation:
7m ÷ 2 = 3.5mPart A: New square is 3.5-meter by 3.5-meterThe original square's perimeter is 7x4=28-meter.The new square's perimeter is 3.5x4=12-meterPart B: The ratio is 12:28 or 3:7The original square's area is 7²=49 meter²The new square's area is 3.5²=12.25 meter²Part C: The ratio is 49:12.25If 192 out of 600 students at a school bought their lunch, what is the percentage of students that bought their lunch?
Answer:
32%
Step-by-step explanation:
Which of the following topics would you discuss first in a speech on applications of math in the everyday world?
geometry
calculus
basic operations
algebra
Answer:
basic operations
Step-by-step explanation:
QUIZ 3: ORGANIZING SPEECHES
Which equation represents a line which is parallel to the line x+4y=-20x+4y=−20?
Answer:
y=7x+3, y=7x−6
The radius of a circle is 1 yard. What is the circle's circumference?
r=1 yd
Use 3.14 for .
The circumference of the circle is 6.28 yards.
What is circumference of the circle?"It is the length of the boundary of the circle."
Formula to calculate the circumference of the circle:C = 2 × π × r, where 'r' is the radius of the circle.
For given example,
r = 1 yd.
π = 3.14
Using the formula for the circumference of circle,
⇒ C = 2 × π × r
⇒ C = 2 × 3.14 × 1
⇒ C = 6.28 yd.
Therefore, the circumference of the circle is 6.28 yards.
Learn more about circumference of the circle here:
https://brainly.com/question/12441329
#SPJ2
240 t-shirts made in 9 hours. Round to the nearest tenth.
Answer:
240/9=26.6666666667
Rounded:
26.7
Brainlist Pls!
Karla made a model of her grandfather's fishing boat using a scale where 2 inches represents 3 feet. Her grandfather's actual boat is 28 feet long. What is the length of Karla's model boat?
the answer is 3 1\9. thats the lentgh of the boat
3 1/9 this could be done on a calculator
Marcus got a ratio of correctly answered questions to total questions of 9 : 12 on his past
quiz. What percent of the quiz did Marcus answer incorrectly?
I NEED HELP QUICKK
Answer:
The correct answer is 30%
What is this pls? i have no time
Answer:
number lines of x>4 and x<-1 respectively
Step-by-step explanation:
Which statement accurately describes the scatterplot?
У
:.
.
A. There are two outliers.
B. There are three distinct clusters.
C. The points seem to be clustered around a line.
D. There are no outliers. .
The correct statement accurately describes the scatterplot is,
⇒ The points seem to be clustered around a line.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
A scatterplot is shown in figure.
Now, By given figure, We get;
When we draw the line of equation,
⇒ The points seem to be clustered around a line.
Hence, The correct statement accurately describes the scatterplot is,
⇒ The points seem to be clustered around a line.
Learn more about the equation of line visit:
https://brainly.com/question/18831322
#SPJ5
What is the midpoint of the vertical line segment graphed below? (2, 4), (2, -9) A. (4, -5). B. (2, -5/2). C. (2, -5). D. (4, 5/2)
Answer:
B. [tex] (2, -\frac{5}{2}) [/tex]
Step-by-step explanation:
Given:
(2, 4) and (2, -9)
Required:
Midpoint of the vertical line with the above endpoints
Solution:
Apply the midpoint formula, which is:
[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]
Where,
(2, 4) = (x_1, y_1)
(2, -9) = (x_2, y_2)
Plug in the values into the equation:
[tex] M(\frac{2 + 2}{2}, \frac{4 + (-9)}{2}) [/tex]
[tex] M(\frac{4}{2}, \frac{-5}{2}) [/tex]
[tex] M(2, -\frac{5}{2}) [/tex]
Solve for the missing value.
58
i think it is 58 degrees
pls help 209572.999129 round to the nearest cent
Answer:
$209,573.00
Step-by-step explanation:
when rounding to a place, you only need to look at the numbers one place beyond the place you are rounding to. For example, if you want to round 0.878 to the nearest tenth, you only need to look at 0.87, since both 0.87 and 0.878 round to 0.9. In this case, you are rounding to the nearest hundredth because one cent represents one hundredth of a dollar. You only need to look at 209572.999. Since the last digit is 9, which is greater than 5, you round up to 209573.00.
hope this helps please lmk if its wrong :)
Kit charges customers an initial fee plus a certain amount per hour to walk their pets. The table below shows the amount of money that Kit earns at her job based on the number of hours that she works. Which of the following equations represents a scenario where Kit would charge customers a higher rate to walk their pets than what is shown in the table?
Answer:
The answer would be 7.5
Step-by-step explanation:
This is due to if there were to be a chart it would start at 15 then continue by 7.5 which would then lead to 1 hour which is 22.5 min additionally other people are not answering this because you did not give all the information such as the chart etc and the answers unlike me i have the toolds and the questions.
The equation y = 8x+10 represents a scenario where Kit is charged a higher hourly rate to walk their pets.
What is a linear equation?It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as the linear equation in one variable.
As per the table:
When the hours are 0 earnings are $15
Initial fee = $15
And when hours are 1 earnings is 22.5
∴ $22.5 = initial fee + hourly rate
Hourly rate to walk their pets = 22.5 - 15 = $7.5
So from the equation:
y = 7.25x + 20
Here 7.25 is the hourly rate to walk their pets and 20 represents the initial cost.
After observing all the equations:
In the equations:
y = 8x + 10
The hourly rate to walk their pets is 8 and the initial cost is $10 in this case Kit is charged a higher hourly rate.
Thus, the equation y = 8x+10 represents a scenario where Kit is charged a higher hourly rate to walk their pets.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
How do I sort them because it doesn’t quite make sense to me
Answer:
can't see image
Step-by-step explanation:
The door has marbles in it 3/10 of the marbles are red 5/10 of the marbles are blue two tenths of the marbles are green which of these fractions is equivalent to 4/8
Answer:
5/10
Step-by-step explanation:
4/8 =1/2
5/10=1/2 so that it
A city is interested in building a parking garage in a certain area. Three hundred randomly selected residents from this area were asked, "Do you support the city's decision to build a parking garage in your area?" Of the 300 residents interviewed, 203 said no, 7 said yes, and 90 had no opinion. A large-sample z-confidence interval, p ± z * square root of p hat times 1 minus p hat over n, was constructed from these data to estimate the proportion of the residents who support building a parking garage in a certain area. Which of the following statements is correct for this confidence interval?
This confidence interval is valid because a sample size of more than 30 was used.
This confidence interval is not valid because the quantity np is too small.
This confidence interval is valid because each area resident was asked the same question.
The confidence interval is valid because no conditions are required for constructing a large-sample confidence interval for a proportion.
This confidence interval is not valid because "no opinion" was included as a response category for the question.
Answer:
This confidence interval is not valid because the quantity np is too small.
Step-by-step explanation:
300(7/300)= 7<10
The measure of the length and width of the rectangle is given as 135 feet and 92 feet respectively.
What is a rectangle?A rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.
Here, we have,
to determine the dimensions
From the information given, we have the following proofs;
Width, w = x+15
Length, l = 2(x+15) - 49
Length, l = 2x + 30 - 49
Length = 2x - 19
The formula for perimeter of a rectangle is given as;
Perimeter = 2( length + width)
Substitute the expressions into the formula
Perimeter = 2 ( x+ 15 + 2x - 19 )
Perimeter = 2 (3x - 4)
Perimeter = 6x - 8
We have that the area is 162 more than 27 times the perimeter, which is Area = 27 (perimeter )+ 163
Area = 27(6x-8) + 162
Expand the bracket
Area= 162x - 216 + 162
Area = 162x - 54
But we know that
Area = length × width
Substitute the expressions
Area = (x+15)(2x-19)
Area = 2x² - 19x +30x - 285
Area = 2x² + 11x - 285
Equate the two formulas for area
162x - 54 = 2x² +11x - 285
Collect like terms
2x² + 11x - 285 - 162x + 54 = 0
2x² - 151x - 231 = 0
Solve the quadratic equation
(2x + 3)(x-77) = 0
Let's solve for x
x - 77 = 0
x = 77
The expression for the width;
Width = x+15
Width = 77 + 15
Width = 92 feet
The expression for the length
Length = 2(x+15) - 49
Length = 2 ( 77 + 15) - 49
Length = 154 + 30 - 49
Length = 184 - 49
Length = 135 feet
Thus, the measure of the length and width of the rectangle is given as 135 feet and 92 feet respectively.
Learn more about a rectangle here:
brainly.com/question/17297081
#SPJ3
what is your dream job?
My dream job is to be a pro football player for the NFL.
Answer:
a Nurse
Step-by-step explanation:
A coach of a baseball team orders hats for the players on his team. Each hat costs .The shipping charge for the entire order is . There is no tax on the order. The total cost of the coach’s order is less than . Which inequality can be used to determine the greatest number of hats, , the coach orders?
Answer:
9.95h + 5 < 125
Step-by-step explanation:
You left out the numbers to solve the question, but I've already encountered this question before, so yeah.
can someone help me. its hard
Answer:
complementary angles
Step-by-step explanation:
We know that complementary angles add up to 90 degrees which is andgles a and b.
By the way, can you follow me on Brainly?
Thanks!
Answer:
B. Complementary angles
Step-by-step explanation:
angle a + angle b = 90 degrees
the two angles form a right angle
two angles that add up to 90 degrees are called complementary angles
Help!! Il give thanks
Answer:80
Step-by-step explanation:
All angles in a triangle add up to 180.
70+30= 100
180-100= 80
There you have it
Aiden borrows a book from a public library. He read a few pages on day one. On day two, he reads twice the number of pages than he read on day one. On the third day, he reads six pages less than he reads on the first day. If he has read the entire book that contains 458 pages, how many pages did he read on day three?
Answer:
.
Step-by-step explanation:
You have a rectangular box with the dimensions of 4 feet x 2
feet x 1 foot. You have to get it painted red. The painting will cost
$2.50 per square foot. How much will it cost you?
Answer:120
Step-by-step explanation:
4x2x1=8, 6 sides with 2.50
What is the slope of the linear equation: y=-5x+6
Answer Choices:
A. -5
B. -5x
C. 1/5
D. 6
What is the formula to find the IQR or at least how do you calculate it from a boxplot?
Answer:
The IQR is the difference between quartile 3 and 1
Step-by-step explanation:
Answer:
IQR = Q3 - Q1
A circular rug has a diameter of 12 feet. Part A What is the circumference, In feet, of the rug rounded to the nearest hundredth? Use 3.14 for it.
Answer:
C =37.68 ft
Step-by-step explanation:
Circumference is given by
C = pi * d where d is the diameter
C = 3.14 * 12
C =37.68 ft
how do i get the answer and what is the answer? im looking for a right answer not just someone who types in the mayo mayo
Answer:
x = 51°
Step-by-step explanation:
The straight line segment has a total angle of 180°. Therefore, to find the angle inside the triangle that is next to 94°, subtract 94 from 180:
180° - 94° = 86°
That angle is almost a right angle but not quite. Now, to find x, add up the two angles inside the triangle and subtract it from 180°:
43° + 86° = 129°
180° - 129° = 51°
What is the Y-intercept of the simplified equation??
Answer: -7
Step-by-step explanation: y+3x=8x-7
subtract 3x from both sides y=5x-7
y=Mx+b
b=-7
PLEASE HELP ME 20 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
by using formula (a+b)^2=a^2+2ab+b^2
in these two we have to just open the formula
(3x+2y)^2
=(3x)^2+2(3x)(2y)+(2y)^2
=9x^2+12xy+4y^2
(3y+2x)^2
=(3y)^2+2(3y)(2x)+(2x)^2
=9y^2+12xy+4x^2