The expression is equivalent to 7(4+1).
option (A) is correct.
To find the equivalent of the given number.
What is expression?Algebraic expressions are combinations of variables , numbers, and at least one arithmetic operation.
The expression is 28+7 is equivalent to :
=7 times 4 equals 28
=7 times 1 is 7
=7(4+1)
So, the expression is equivalent to 7(4+1).
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The missing option is
A 7(4 + 1)
B 4(7 + 1)
C 4(7 + 3)
D 7(4 + 7)
f(g(x)) g(f(x)) ANSWER QUESTION BELOW BRIEF RESPONSE
Given statement solution is :- "F(g(x)) g(f(x))": The function F(x) is composed with g(x), and the result is further composed with g(f(x)).
"f(g(x)) g(f(x))": The function g(x) is composed with f(x), and the result is further composed with g(f(x)).
The expressions "F(g(x)) g(f(x))" and "f(g(x)) g(f(x))" are compositions of functions. The answer to the question posed would depend on the specific functions F(x) and g(x), as well as f(x) and g(x) in the second expression.
To provide a brief response:
For the expression "F(g(x)) g(f(x))": The function F(x) is composed with g(x), and the result is further composed with g(f(x)). The order of composition is F(g(x)) first, followed by g(f(x)).
For the expression "f(g(x)) g(f(x))": The function g(x) is composed with f(x), and the result is further composed with g(f(x)). The order of composition is f(g(x)) first, followed by g(f(x)).
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Question 2. solve the system of equations using the inverse Matrix.a. ( -7, - 4)b. (7, 4)c. ( -123, 157)d. ( 123, - 157)
we have the system
7x-9y=13
-4x+5y=-8
in matrix notation
7 -9 x 13
=
-4 5 y -8
AX=B
where
A= 7 -9
-4 5
Find A^-1
Det A=(35-(36))
Det A=-1
the inverse matrix is equal to
-1 5 9 13 ------- > (5)(13)+(9)(-8) ------> -7
4 7 -8 (4)(13)+(7)(-8) -4
multiply by -1
-7*-1=7
-4*-1=4
therefore
the solution is (7,4)
option BI need the answer too this equation fast. 5х = 6.15?
Answer: x = 1.23
Explanation:
Divide both sides by 5:
5x/5 = 6.15/5
Simplify the fraction:
x = 6.15/5
Simplify the arithmetic:
x = 1.23
HOPE THIS IS HELPFUL
Can someone help me answer this problem on ixl!!
Answer:
20 blogs
Step-by-step explanation:
Step 1: Determine the proportion of pop culture blogs:
First, we need to determine the proportion of pop culture blogs already written. We can do this by dividing the number of pop culture blogs already written by the total number of blogs written:
The proportion of pop culture bloggers = Number of pop culture bloggers / Total number of bloggers
Proportion = 26 / (20 + 26 + 7 + 12)
Proportion = 26 / 65
Proportion = 0.4
Step 2: Multiply the proportion of pop culture blogs by the number of upcoming blogs:
To determine the expected number of pop culture blogs that will be written given the data, we can multiply the proportion of pop culture blogs already written by the number of upcoming blogs:
Expected number of pop culture blogs = proportion of pop culture blogs * number of upcoming blogs
Expected number = 0.4 * 50
Expected number = 20
Thus, you should expect 20 pop culture blogs to be written given the data.
What is the equation of a line that has a slope of - 1/2 and a y intercept of 3
y = ½x +3
Step-by-step explanation:
Slope = m = ½
y-intercept = 3
Substitute values into Slope intercept form :
\(y = mx + b\)
Where m = slope
b = y intercept
\(y = \frac{1}{2} x + 3\)
Two vessels are steaming eastward with the same speed. Vessel A departed from position
(83°16’N, 48°51’W), and Vessel B from position (32°43’N, 48°51’W). If they left their respective
ports at the same time, which vessel will reach the prime meridian first? Explain briefly your
answer.
When Vessel A and Vessel B start steaming at the same time and with same speed then Vessel B will reach the Prime Meridian first as it is at a closer distance to Prime Meridian.
What is distance?
Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.
The coordinates of position of Vessel A is = (83°16’N, 48°51’W)
The coordinates of position of Vessel B is = (32°43’N, 48°51’W)
The coordinates of position of Prime Meridian is = (0°0’N, 0°0’W)
First calculate the distance in kilometers for Vessel A.
From initial position (83°16’N, 48°51’W) to final position (0°0’N, 0°0’W) -
The distance in kilometers is 9516 km.
Now, calculate the distance in kilometers for Vessel B.
From initial position (32°43’N, 48°51’W) to final position (0°0’N, 0°0’W) -
The distance in kilometers is 6270 km.
The distance from Vessel A to Prime Meridian is greater than the distance from Vessel B to Prime Meridian.
Therefore, it can be seen that vessel B will reach the prime meridian first.
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10, 9, 11, 8, 15, 18, 13
1. Calculate the mean, median, and mode. Round to the nearest tenth.
Answer:
Median: 11
Mean: 12
Mode: none
Step-by-step explanation:
M A T H W A Y helps
Mode is something that is repeated multiple times
so
Answer:
Median- 11
Mean-12
Mode-none
Step-by-step explanation:First step: Put the numbers in order 8,9,10,11,13,15,18
The median is the middle number so that would be 11
Median-11
Mode is the most repeated number as you can see there is none
Mode- none
Mean is the average of all the numbers so first you add them all together and divide it by 7 because there are 7 numbers in total.
Mean- 12
Find y
A)10
B)2
C)15
D)4
Answer:
y = 4Step-by-step explanation:
3y = y + 8
3y - y = 8
2y = 8
y = 8÷2
y = 4
Answer:
4
Step-by-step explanation:
what is the difference of twice a number and 3 is 11
Answer:
2x - 3 = 11
x = -21
Step-by-step explanation:
Write v as the sum of two vector components if v = -5i+6j and w = 3i+4j
Vector v can be written as the sum of two vector components, \(v_x = -5i\) and \(v_y = 6j\)
To write vector v as the sum of two vector components, we need to decompose it into two vectors along different directions.
v = -5i + 6j
w = 3i + 4j
We can decompose vector v into two components, one along the x-axis and the other along the y-axis.
Let's denote the component along the x-axis as \(v_x\) and the component along the y-axis as \(v_y.\)
The x-component, \(v_x,\) represents the projection of vector v onto the x-axis and can be found using the dot product of v and the unit vector i:
\(v_x = v . i = (-5i + 6j) . i = -5i . i + 6j . i = -5\)
Similarly, the y-component, \(v_y,\) represents the projection of vector v onto the y-axis and can be found using the dot product of v and the unit vector j:
\(v_y = v . j = (-5i + 6j) . j = -5i . j + 6j . j = 6\)
Now, we can write vector v as the sum of its components:
\(v = v_x + v_y = -5i + 6j\)
So, vector v can be written as the sum of two vector components: -5i along the x-axis and 6j along the y-axis.
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What is the best estimate of the sum of 5 1/5 and 8 5/6
The necessary interventions for a patient with acute pan-creatitis who is at risk for paralytic ileus are options 1, 2, 4, and 5. Because, The common consequence of acute pan-creatitis known as paralytic ileus prevents the intestines' normal motility by inflaming the tissues around it.
(1).Provide enteral feedings: Enteral nutrients may help to encourage bowel movement.
(4).Ask if patient has passed : The passing of flatus can indicate the return of bowel function
(5).Maintain nasogastric tube : An NG tube can aid in stomach decompression and stop gastric distension.
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Angle 1=3x+52
Angle 2=x^2+40
Angle 3=70
Find the measures of the three angles
Answer:
Step-by-step explanation:
I am assuing it is a traingale so the tolal angle is 180
3x+52+x^2+40+70=180
3x+x^2=18
x^2+3x-18=0
(x+6)(x-3)=0
x=-6 x=3
line a x=-6; line b x=3
angle 1:
a. -6*3+52=34
b. 9+52=61
angel 2:
a. -6^2+40=76
b. 9+40=49
Angle 3: 70
a. 70+76+34=180
b. 61+49+70=180
Which graph represents function g if g(x)=f(2x)
The new function g(x) which is equal to f(2x) will be stretched or compressed by the factor 2.
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function f(x) shown in the coordinate plane.
The function g(x) = f(2x)
As we can see in the new function g(x) it is the transformation of the f(x).
Transformation is applied as below:
x → 2x (x is replaced by the twice of it)
= f(x)
= f(2x)
= g(x)
When the function is multiplied by a positive number it will be stretched or compressed according to that factor vertically and in the given function the factor is 2 which means the g(x) will be stretched or compressed according to that factor.
Thus, the new function g(x) which is equal to f(2x) will be stretched or compressed by the factor 2.
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PLSS HELP!! I NEED TO FIND THE SURFACE AREA OF THIS CYLINDER!!
Answer:
338π
Step-by-step explanation:
\(2\pi rh+2\pi r^2\)
\(2\pi *7*20+2\pi *7^2=240\pi +98\pi\)
4+4=
A 8
B 16
C 12
D 4
Brianna can use the equation y = 5x to calculate her pay, where y represents the amount of pay, and x represents the number of hours worked.
How many hours did Brianna work if she was paid $63.50?
y = 5x
63.5 = 5x
x = 12.7 hours
The number of hours did Brianna work, if she was paid amount $63.50 as salary, is 12.7 hours.
What is an unknown variable?Unknown variables are used to find the unknown values of the problem using the algebraic expressions.
To find the values of unknown quantity, the statements of a problem is converted in the algebraic equation using the variable in place of unknown numbers.
Brianna uses the equation to calculate here pay is,
\(y = 5x\)
Here y represents the amount of pay, and x represents the number of hours worked.
The number of hours did Brianna work if she was paid $63.50 has to be find out.
As the total amount, Brianna get is $63.50 and this is represented by the variable y in the above equation.
Thus, put the value of y in the above equation to find the value of number of hours as,
\(63.50= 5x\\x=\dfrac{63.50}{5}\\x=12.7\)
Hence, the number of hours did Brianna work, if she was paid amount $63.50 as salary is 12.7 hours.
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Use the diagram to find lengths. BP is the perpendicular blsector of AC. QC is the perpendicular bisectorof BD. AB = BC =CDSuppose BP = 8 cm and AD = 45 cm. What is the length of PC
We know that
BP and EC are perpendicular bisectors. This means they form a 90° angle at the intersection points B and C, also, the equally divide segments AC and BD.
Now, to find PC, first, we need to find segment BC in order to use Pythagorean's theorem.
We know that AD=45, and it's also formed by the sum of segments AB, BC, and CD, which are all the same, that's why we are going to call them x.
\(AD=3x=45\rightarrow x=\frac{45}{3}=15\)This means segment BC is equal to 15 centimeters.
Now, we can use Pythagorean's theorem to find BP which is a leg of triangle PCB
\(PC^2=BC^2+BP^2\)But, BP=8 and BC=15, so
\(PC=\sqrt{15^2+8^2}=\sqrt[2]{225+64}=\sqrt{289}=17\operatorname{cm}\)Therefore, segment PC is 15 centimeters long.Graph the following equation -3y+6x+=6
Answer:
Step-by-step explanation: Here's a step-by-step guide on how to graph the equation -3y + 6x = 6:
Isolate y: To isolate y, first subtract 6x from both sides of the equation: -3y + 6x = 6 => -3y = -6x + 6.
Divide both sides of the equation by -3: Dividing both sides of the equation by -3, we get: -3y / -3 = (-6x + 6) / -3.
Simplify the equation: On simplifying the equation, we get: y = 2x - 2.
Plot the y-intercept: The y-intercept of the equation is when x = 0. So, when x = 0, y = 2 * 0 - 2 = -2. This point is (0, -2). Plot this point on the graph.
Plot a second point: Pick a value of x and plug it into the equation to find the corresponding y value. For example, let's take x = 1. Plugging x = 1 into the equation, we get y = 2 * 1 - 2 = 0. This point is (1, 0). Plot this point on the graph.
Draw the line: Connect the two points plotted on the graph. This line represents the solution set of the equation.
That's it! You have successfully graphed the equation -3y + 6x = 6.
Answer:
Step-by-step explanation:
In the diagram below AB is parallel to CD. What is the value of X?
1.25 is closer to 1.04 or not ?
plz heelp
Answer:
NO
Step-by-step explanation:
I've already told you, it is closer to 1 than 1.25
there are how many distinct website graphics to be created?
According to the question there are 35 distinct website graphics that can be created by using at least four of seven different bitmap images.
What is website?A website is a collection of related web pages, images, videos, and other digital assets that are hosted on a web server and can be accessed by users over the internet. A website is typically identified by a unique domain name and can be accessed by typing the URL into a web browser.
Using the formula for calculating the number of combinations of size k from a set of size n (n choose k), we can calculate the number of distinct website graphics that can be created by using at least four of seven different bitmap images as follows:
n = 7 (7 different bitmap images)
k = 4 (at least 4 of the 7 bitmap images)
Number of distinct website graphics = (7 choose 4) = 35
Therefore, there are 35 distinct website graphics that can be created by using at least four of seven different bitmap images.
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The pendulum of an antique clock has been damaged and needs to be replaced. If the original pendulum completed one swing every 1.5 seconds, how long should the new pendulum be? Use the formula: A.0.25 centimetersB.234.8 centimetersC.55.9 centimetersD.351 centimeters
Answer: We essentially have to find the variable L, provided the value of the duration of one complete swing, or the period:
\(T=2\pi\sqrt{\frac{L}{980}}\Rightarrow(1)\)The value of the variable T is a known quantity in the equation (1), therefore plugging it into the equation (1) gives the following equation:
\((1.5)=2\pi\sqrt{\frac{L}{980}}\Rightarrow(2)\)The solution is found by solving for the variable L in the equation (2), the steps for the answer are as follows:
\(\begin{gathered} \begin{equation*} (1.5)=2\pi\sqrt{\frac{L}{980}} \end{equation*} \\ \\ \\ (\frac{3}{2})=2\pi\sqrt{\frac{L}{980}} \\ \\ \frac{1}{2\pi}\times\frac{3}{2}=\sqrt{\frac{L}{980}} \\ \\ \\ (\frac{1}{2\pi}\times\frac{3}{2})^2=\frac{L}{980}\rightarrow(\frac{1}{4\pi^2}\times\frac{9}{4})=\frac{L}{980}\Rightarrow\frac{1}{\pi^2}\times\frac{9}{16}=\frac{L}{980} \\ \\ \\ L=(\frac{980\times9}{16})\times\frac{1}{\pi^2}=\frac{2205}{4}\times\frac{1}{\pi^2} \\ \\ \\ L=55.853302482 \\ \\ \\ L\approx55.9cm \end{gathered}\)The answer is 55.9 centimeters or Option C.
It takes Marcia 2 hours to complete a car trip, and it takes Stacy
at a spa, the customer is offered a choice of fice different massages and eight different pedicures. How many different combunations are there of one massage and one peducre
Answer:
There are 40 different combinations possible of one massage and one pedicure.
Step-by-step explanation:
We have that:
For each combination of messages, there are eight different pedicures.
There are five possible combinations of messages.
So
5*8 = 40
There are 40 different combinations possible of one massage and one pedicure.
Figure ABCD is a parallelogram. Is it also a rhombus? Why or why not?
D
5m
B
5 m
C
OA. It cannot be determined, because a parallelogram with congruent
adjacent sides may or may not be a rhombus.
B. No, because all four sides are congruent.
C. Yes, because adjacent sides are congruent.
D. No, because adjacent sides are congruent.
The true statement about the parallelogram is (c) Yes, because adjacent sides are congruent.
How to determine the true statement about the parallelogramGiven that
Figure ABCD is a parallelogram
Such that
Side lengths = 5 cm
This means that
The figure is a square
As a general rule
All squares can be classified as rhombus
This is because a rhombus is a quadrilateral with all four sides of equal length and square is a type of rhombus in which all four sides are equal in length
Hence, the true statement is (c)
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What is the circumference of the circle? (use 3.14 for pi)
(WORTH 30 POINTS)
Answer:
119.32
Step-by-step explanation:
\(A = 2 * 3.14 * 19 = 119.32\)
the temperatures at midday on march 1st in five cities are shown in the bar chart below. What is the difference in temperature between rome and munich?
The difference in temperature between Rome and Munich is given as follows:
6ºC.
How to obtain the difference in temperatures?The difference in temperature between Rome and Munich is given by the subtraction of Rome's temperature by Munich's temperature.
The bar graph in the context of this problem gives the temperature for each town.
From the bar graph given by the image presented at the end of the answer, the temperatures for Rome and Munich are given as follows:
Rome: 11 ºC.Munich: 5 ºC.Hence the difference in temperature between Rome and Munich is given as follows:
11 - 5 = 6ºC.
Missing InformationThe graph is given by the image presented at the end of the answer.
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i need help with the answer i also need to explain this question
Answer: B: 20
Step-by-step explanation: We can take 40% as a fraction to make it 4/10, simplifying gives 2/5. 2/5 of 50 is 20!
Hope this Helps!
The graph shows the relationship between
the volume of coffee in a cup and the length
of time Cassie pours coffee into the cup.
milliliters
200
150
100
50+
(1,50)
seconds
1
2
3
What does 50 mean in this situation?
Answer: A
Step-by-step explanation:
I did it already
Answer:
A
Step-by-step explanation:
What type of angles are these?
Complementary, Supplementary, or Neither
Got It? Do these problems to find out.
-15
85° | 90°
75
Answer:
a: Neither; b: Complementary
Step-by-step explanation:
Complementary= 90 degrees
Supplementary= 180 degrees
For letter a. the answer is neither because 85 +90= 175 degrees, not 90 or 180 degrees.
For letter b. the answer is complementary because 75 +15= 90 degrees.