Answer:
17
Step-by-step explanation:
The diagonal forms a triangle.
Use the Pythagorean theorem
Diagonal = sqrt(8^2 + 15^2)
Diagonal = sqrt(64 + 225)
Diagonal = sqrt( 289)
Diagonal = 17
Answer: 17 inches
How would I do this??
Part 1
[tex]\left(\frac{g}{h}\right)(x) = \frac{g(x)}{h(x)}\\\\\left(\frac{g}{h}\right)(x) = \frac{3x-5}{-2x^2+7}\\\\\left(\frac{g}{h}\right)(3) = \frac{3(3)-5}{-2(3)^2+7}\\\\\left(\frac{g}{h}\right)(3) = \frac{4}{-11}\\\\\left(\frac{g}{h}\right)(3) = -\frac{4}{11}\\\\[/tex]
Answer: -4/11
====================================================
Part 2
Set the denominator function equal to zero and solve for x to find which values to kick out of the domain.
[tex]h(x) = 0\\\\-2x^2+7 = 0\\\\7 = 2x^2\\\\2x^2 = 7\\\\x^2 = 7/2\\\\x^2 = 3.5\\\\x = \sqrt{3.5} \ \text{ or } x = -\sqrt{3.5}\\\\[/tex]
This shows that if x is equal to either of those values, then the denominator h(x) will be zero. These are the values to kick out of the domain to prevent a division by zero error. Any other value of x is valid in the domain.
Answer: [tex]x = \sqrt{3.5} \text{ and } x = -\sqrt{3.5}\\\\[/tex]
3(-4x - 3) + 50 - 5= 0
Answer:
-12x-9+50-5=0
-12x+41-5=0
-12x+36=0
-12x=0-36
x= -36/-12
x = 3 Answer...
hope it helps
Answer:
[tex]x=3[/tex]
Step-by-step explanation:
[tex]3(-4x - 3) + 50 - 5= 0[/tex]
⇒ Subtract 50- 5 from both sides:-
[tex]3\left(-4x-3\right)+50-5-\left(50-5\right)=0-\left(50-5\right)[/tex]
[tex]3\left(-4x-3\right)=-45[/tex]
⇒ Divide both sides by 3:-
[tex]\frac{3\left(-4x-3\right)}{3}=\frac{-45}{3}[/tex]
[tex]-4x-3=-15[/tex]
⇒ Add 3 to both sides:-
[tex]-4x-3+3=-15+3[/tex]
[tex]-4x=-12[/tex]
⇒ Divide both sides by -4:-
[tex]\frac{-4x}{-4}=\frac{-12}{-4}[/tex]
[tex]x=3[/tex]
OAmalOHopeO
Evaluate f(x) when x = 3.
Answer:
56
Step-by-step explanation:
Since 3 is between -6 and 9 we use the first definition
f(3) = 6 x^2 +2
= 6(3)^2+2
= 6(9) +2
= 54+2
= 56
Diagnostic
Analytics
When completing an online shopping transaction, a typical shopper takes 7 seconds to
select each product and another 9 seconds to complete the check-out process. If it takes 37
seconds to complete a transaction, how many products are being purchased?
products
Submit
Answer:
In 26 seconds to complete a transaction, 2 products are being purchased.
Step-by-step explanation:
1 item = 9 seconds
Time taken in all to check out = 8 seconds
Time taken to shop = 26 seconds
Now as check out process takes 8 seconds, so the
Time left to ACTUALLY SHOP = Total Time - Time Used to check out
= 26 seconds = 8 seconds = 18 seconds
Shopping of 1 item = 8 seconds
Shopping of 2 items = 2 x ( Time taken in 1 item) = 2 x 9 = 18 seconds
So, in 18 seconds, 2 clothing item can be selected.
Hence,in 26 seconds to complete a transaction, 2 products are being purchased.
Can someone please help me I don’t know how to do this (Due today)
First go to the y intercept (or the b in y=mx+b) look for the slope and plot the points on the graph they're talking about e.g. #23 the y-intercept is 6 go to the 6 on the y axis, and then look at the slope (x), so it goes up and over to the right since it's positive by 1
Two terms of a geometric sequence are given. Find the first five terms. Please help asap
Answer:
4, 8, 16, 32, 64
Step-by-step explanation:
The nth term of a geometric sequence is
[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]
Given
a₇ = 256 and a₁₀ = 2048 , then
a₁ [tex]r^{6}[/tex] = 256 → (1)
a₁ [tex]r^{9}[/tex] = 2048 → (2)
Divide (2) by (1)
[tex]\frac{a_{1}r^{9} }{a_{1}r^{6} }[/tex] = [tex]\frac{2048}{256}[/tex]
r³ = 8 ( take the cube root of both sides )
r = [tex]\sqrt[3]{8}[/tex] = 2
Substitute r = 2 into (1)
a₁ × [tex]2^{6}[/tex] = 256
a₁ × 64 = 256 ( divide both sides by 64 )
a₁ = 4
Then
a₁ = 4
a₂ = 2a₁ = 2 × 4 = 8
a₃ = 2a₂ = 2 × 8 = 16
a₄ = 2a₃ = 2 × 16 = 32
a₅ = 2a₄ = 2 × 32 = 64
pls pls pls help meeeeee
Answer:
i think you just extend the coordinates to the side, except the right point, by 3, and then the bottom ones go down by 3, and the top one goes up by 3
Step-by-step explanation:
The shaded area in the distribution below represents approximately 95% of the data. Use the diagram to find the mean and the standard deviation.
Answer:
85 i guess
Step-by-step explanation:
The mean of the distribution is 70 and the standard deviation of the distribution is 4.
The shaded area in the distribution below represents approximately 95% of the data. This means that the shaded area is equal to 1.96 standard deviations from the mean.
The 68-95-99.7 rule states that 95% of the data in a normal distribution falls within 2 standard deviations of the mean. So, the shaded area in the distribution below represents the area between 1.96 standard deviations below the mean and 1.96 standard deviations above the mean.
The mean of the distribution is the center of the shaded area. The standard deviation of the distribution is the distance from the mean to the edge of the shaded area.
In this case, the mean of the distribution is approximately 70. The standard deviation of the distribution is approximately 4.
Here is a step-by-step explanation of how to find the mean and the standard deviation:
Identify the shaded area in the distribution.
Remember that the shaded area represents 95% of the data.
Use the 68-95-99.7 rule to determine that the shaded area is between 1.96 standard deviations below the mean and 1.96 standard deviations above the mean.
Find the mean by averaging the two points on the distribution that are 1.96 standard deviations from the mean.
Find the standard deviation by subtracting the mean from one of the points on the distribution that is 1.96 standard deviations from the mean.
Therefore, the mean of the distribution is approximately 70 and the standard deviation of the distribution is approximately 4.
To learn more about standard deviation here:
https://brainly.com/question/13498201
#SPJ2
A car left Sydney at 9 am and arrived in
Melbourne at 6 pm. The distance travelled
was 711 km. Find the car's average speed.
km/h
Answer:
average speed = distance/ time
711/9
79km/h
Find the Quotient. Do NOT round
22.14 divided by 1.2
Answer:
18.45
Step-by-step explanation:
I used a calculator
A package of 4 red,white and blue hats costs $8. What is the unit rate
Answer:
$2/ hat
Step-by-step explanation:
Find the unit rate:
$ to hats
8 to 4
Divide by four to get the unit rate; over 1
2 to 1
So, $2 per hat
Hope this helps!
Somebody that knows the answer please help ASAP!!!!!
Answer:
Below!
Step-by-step explanation:
To find the volume of a cylinder, you can use this formula : v = πr^2h
r = 12km , h = 7 km
v = π(12km)^2(7)
= 3166.72539
Round to the nearest 10th
= 3166.7 km^3
Hope this helps! Best of luck <3
Which statement is true regarding the graphed functions
f(4)=g(4)
F(4)=g(2)
F(2)=g(-2)
F(-2)=g(-2)
I NEED HELP WITH THIS!! 50 POINTS!!!
Drag each system of equations to the correct location on the table.
Classify each system of equations as having a single solution, no solution, or infinite solutions.
Answer:
Starting with the first one, we need to convert both of the equations into slope-intercept form. y = -2x + 5 is already in that form, now we just need to do it to 4x + 2y = 10.
2y = -4x + 10
y = -2x +5
Since both equations give the same line, the first one has infinite solutions.
Now onto the second one. Once again, the first step is to convert both of the equations into slope-intercept form.
x = 26 - 3y becomes
3y = -x + 26
y = -1/3x + 26/3
2x + 6y = 22 becomes
6y = -2x + 22
y = -1/3 x + 22/6
Since the slopes of these two lines are the same, that means that they are parallel, meaning that this one has no solutions.
Now the third one. We do the same steps.
5x + 4y = 6 becomes
4y = -5x + 6
y = -5/4x + 1.5
10x - 2y = 7 becomes
2y = 10x - 7
y = 5x - 3.5
Since these two equations are completely different, that means that this system has one solution.
Now the fourth one. We do the same steps again.
x + 2y = 3 becomes
2y = -x + 3
y = -0.5x + 1.5
4x + 8y = 15 becomes
8y = -4x + 15
y = -1/2x + 15/8
Once again, since these two lines have the same slopes, that means that they are parallel, meaning that this one has no solutions.
Now the fifth one.
3x + 4y = 17 becomes
4y = -3x + 17
y = -3/4x + 17/4
-6x = 10y - 39 becomes
10y = -6x + 39
y = -3/5x + 3.9
Since these equations are completely different, there is a single solution.
Last one!
x + 5y = 24 becomes
5y = -x + 24
y = -1/5x + 24/5
5x = 12 - y becomes
y = -5x +12
Since these equations are completely different, this system has a single solution.
Step-by-step explanation:
hope this helps you out:)
Problem 1 Find the mBC.
Answer:
m BC = 100
Step-by-step explanation:
Since the angle is at the center, the arc has the same measurement as the angle
m BC = 100
draw the graphs of the lines represented by the equations 3x-4y=1 and 4x-3y=6 in the same graph. also find the coordinates of the point where the two lines intersect
Answer:
I've attached the graph with it, the intersection point is,
x = 3, y = 2
The quantity of milk consumed in five households in a week is 10L.12.13 L. 11 L and
14 L Find the mean weekly consumption of milk by these bouseholds. Also find the number
of households whose consumption is more than the mean weekly consumption
Answer:
12
Step-by-step explanation:
Add 10l to 12l to13l to11l to 14l=60l the divide 60l by the number of houses which will be 12 and there is your correct answer
Which angle number represents an angle adjacent to /EHD?
In the diagram, ∠5 is adjacent to ∠EHD.
Angle
Angles are formed when two rays intersect at a point. An angle is also formed when to lines intersect each other, thereby the two lines share a common endpoint.
Adjacent angles are two angles that have a common side and a common vertex (corner point). They are placed side by side to each other.
In the diagram, ∠5 is adjacent to ∠EHD.
Find out more on Angle at: https://brainly.com/question/25770607
plese help asap!!! .................
Answer:
what do you need to find? Area? perimeter?
Step-by-step explanation:
find the angle measures given the figure is a rhombus.
[tex] \large \tt{{❃ \: S \: O \: L \: U \: T \: I \: O \: N : }}[/tex]
A rhombus is a parallelogram in which all sides are equal i.e AB = BC = CD = CA Let ∠ A be x. In the ∆ ABC , AB = AC which means they are isosceles triangle and we know the opposite angles of isosceles triangle are equal i.e ∠ A = ∠ C = x. The sum of angles of a triangle is always 180°. Now , Find out the value of x :[tex] \large{ \tt{❁ \:x + x + 98 = 180 \degree \: [ Sum\: of \: angle \: of \: a \: triangle ]}}[/tex]
[tex] \large{ \tt{⟶2x + 98 \degree= 180 \degree}}[/tex]
[tex] \large{ \tt{⟶ \: 2x = 180 \degree - 98 \degree}}[/tex]
[tex] \large{ \tt{⟶ \: 2x = 82 \degree}}[/tex]
[tex] \large{ \tt{ ⟶x = \frac{82 \degree}{2} }}[/tex]
[tex] \large{ \tt{⟶ \: x = 41 \degree}}[/tex]
The value of x is 41°. Now , Find the measure of ∠ 1 :[tex] \large{ \tt{ ↔\angle \: 1 = x \degree = \boxed{41 \degree}}}[/tex] [ Being alternate angles ]
Hence , Our final answer is 41° .- Alternate angles are the non-adjacent interiors pair of angles lying to the opposite side of a transversal when it intersects two straight line segments. Alternate angles form ' Z ' shape.
Hope I helped! Let me know if you have any questions regarding my answer. :)Solve the equation for x.
5x - ( 4x - 1) = 2
1
a.
C.
1
9
bi
b. - 1
d.
1
Answer:
x = 1
Step-by-step explanation:
5x - (4x - 1) = 2
Let's get rid of the parenthesis
Multiply whatever is in the parenthesis by -1 since there is a minus sign before it
5x - 4x + 1 = 2
Move common terms to one side, so subtract 1 from both sides
5x - 4x + 1 = 2
- 1 - 1
5x - 4x = 1
Subtract the 5x by 4x
x = 1
Answer:
x = 1
Step-by-step explanation:
5x - (4x - 1) = 2
5x - 4x + 1 = 2 {Distribute property (-1) is distributed with 4x and (-1)}
Combine like terms
x + 1 = 2
Subtract 1 from both sides
x = 2 - 1
x = 1
Which of the following equations of a line is NOT written in standard form?
A. 12x - 2y = 82
B. y = -2x - 1
C. x – 7y = 22
D. -x + 5y = 10
Answer: B
Step-by-step explanation:
Its written in slope intercept form not standard
Find the value of x for which l||m
Answer:
30 =x
Step-by-step explanation:
The angles are correcting angle and corresponding angles are equal when the lines are parallel
55 = x+25
Subtract 25 from each side
55-25 = x+25
30 =x
The telephone numbers in a small town have two digits. They run from 00 to 99.
Of the 100 possible numbers, those that become smaller when reversed are not used, i.e. 21 is not used.
What is the maximum number of telephone numbers this town could have?
Answer:
[tex]55[/tex]
Step-by-step explanation:
We'll be using case-work to solve this problem. Let's call the ones digit of the telephone number [tex]B[/tex] and the tens digit [tex]A[/tex]. Each telephone number can be represented as [tex]AB[/tex].
Since the question states that numbers that are smaller when their digits are reversed are not used, we have the following inequality:
[tex]B\geq A[/tex]
This is because if [tex]A>B[/tex], the number would become smaller when [tex]A[/tex] and [tex]B[/tex] are switched in [tex]AB[/tex]. However, if [tex]A=B[/tex] or [tex]B>A[/tex], the number will not become smaller.
Let's work our way up starting with [tex]A=0[/tex]. If [tex]A=0[/tex], there are 10 other numbers (0-9) that we can choose for [tex]B[/tex] that adhere to the condition [tex]B\geq A[/tex]:
[tex]0B,\\01, 02, 03,...[/tex]
Therefore, there are 10 possible telephone numbers when the tens digit is 0.
Repeat the process, now assigning [tex]A=1[/tex]. Now, we only have the digits 1-9 to choose from for [tex]B[/tex], since [tex]B[/tex] needs to be greater than or equal to A. Therefore, there are 9 possible telephone numbers when the tens digit is 1.
This pattern continues. As we work our way up through the cases (when increasing [tex]A[/tex] by 1), the number of possible telephone numbers decreases by 1, since there becomes one less option for [tex]B[/tex].
The last case would be [tex]A=9[/tex] in which case there would only be one option for [tex]B[/tex] and that would be 9.
Since there are 10 cases (0-9), add up the possible telephone numbers for each case:
[tex]\displaystyle \sum_{n=1}^{10}n=1+2+3+4+5+6+7+8+9+10=\boxed{55}[/tex]
Alternatively, recall that the sum of this series can be found using [tex]\frac{n(n+1)}{2}[/tex], where [tex]n[/tex] is the number of values in the set. In this case, [tex]n=10[/tex], and we have:
[tex]1+2+3+4+5+6+7+8+9+10=\frac{10(11)}{2}=\frac{110}{2}=\boxed{55}[/tex]
Economy Hardware Store ordered items retailing for $2,500. They received a chain discount of 20/5/2. Find the net cost.
The net cost after discounts will be $ 2,450.
Given that Economy Hardware Store ordered items retailing for $ 2,500, and they received a chain discount of 5/20/2, the following calculation must be performed to find the net cost, knowing that the net cost is equal to the initial cost minus the discounts made about it:
First, the discount percentage must be calculated.
5/20/2 = X
4/2 = X
2 = X
Then, this percentage must be subtracted from the initial value.
2500 x (1-0.02) = X
2500 x 0.98 = X
2450 = X
Therefore, the net cost after discounts will be $ 2,450.
Learn more in https://brainly.com/question/17003148.
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Which of the following statements is incorrect about the data set that includes 1,2,3,4,5,6,7?
A. The data set has no mode
B. The data set has a second quartile of 6
C. The data set has the same mean and median
D. The data set has an interquartile range of 4
Answer:
b or d
Step-by-step explanation:
igxgkztjsy,hfzfjzitzgmzfjztzutzjvahfzgkzjrJt
Answer:
A
Step-by-step explanation:
A mode is the value that appears most frequently in the data set because there is not more than one of any number the data set has no mode.
Which is true about the solution to the system of inequalities shown?
y > 3x + 1
y < 3x – 3
they don't share any points
that's one thing, but I don't know what your options are of course.
see screenshot for illustration of the inequalities
necesito ayuda con esto
Answer:
nacho taco Guadalupe Juan ching chong
Step-by-step explanation:
Noob
Answers plssssssssssssssssss
Answer:
3/2
Step-by-step explanation:
if u divide two fractions, it is same as multiplying with its reciprocal
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the estimated value of each expression with its position on the number line. + A B C D E ++ + 1 2 3 4 5 6 7 -2 -1 0 A B С D E V90-V40 V35 - 42 V5 – V6 2127-148 V54 - V24 18 – V8
Answer:
1. D
2.C
3. E
4.A
Step-by-step explanation:
the guy above or below me is incorrect.