Answer:
5 shifts
Step-by-step explanation:
The pool is open for 7 1/2 hours (15/2 hours) per day.
Each lifeguard shift lasts for 1 1/2 hours (3/2 hours).
To get the number of shifts per day, we divide the total hours that the pool is open by the time of each lifeguard shift:
[tex]\frac{15}{2} / \frac{3}{2} \\\\= \frac{15}{2} / \frac{2}{3} \\\\ = 5[/tex]
There are 5 lifeguard shifts per day.
Answer:
5
Step-by-step explanation:
I REALLY NEED HELP MY DAD YELLED AT ME
Answer:
2/3
Step-by-step explanation:
f(x)=g(x)
-3x+4=2
Add 3x
3x+2=4
subtract 2
3x=2
divide by 3
x=2/3
Answer:
x= 2/3
Step-by-step explanation:
The value where f(x) = g(x) is where the two functions intersect
That would be at
f(x) = g(x)
-3x +4 = 2
Subtract 2 from each side
-3x = -2
x = 2/3
We know the y value. Substitute x into the equation
g(2/3) = 2
y = 2
The point is (2/3,2)
Convert the decimal to a percent.
3.06 = a number here %
PLEASE HELP ASAP! Which equation is represented by the graph below? y=e^x+5 y=e^x+4 y=ln x+4 y=ln x+5
Answer:
y = ln(x) + 4
Step-by-step explanation:
Fastest way to do this is to graph each equation into a graphing calc and match it with the given graph.
U 3 4
Lucy buys 7 kg of nuts to sell.
She pays £10 for the nuts.
Lucy puts all the nuts into bags.
She puts 350 g of nuts into each bag.
She then sells each bag of nuts for 75p.
Lucy sells all the bags of nuts.
Work out her percentage profit.
Answer: 50%
Step-by-step explanation:
I'm converting 7kg to grams to make it easier. So £10 = 7000g
£1 = 7000÷10 = 700g
700g÷2 = 350g and if you follow the ratios on top, she payed 50p per 350g
She sells a bag of 350g for 75p.
Percentage profit=[tex]\frac{Change in cost}{original cost}[/tex] × 100
75p - 50p = 25p = change in cost
Percentage profit= [tex]\frac{25}{50}[/tex] × 100
= 50%
Rosa and her brother worked landscaping jobs last summer. Rosa earned $8 more than twice the amount earned by her brother. If their earnings totalled $71, how much did Rosa earn? NEED AN ANSWER
A subscription service charges new
customers $2 per video game plus
$10 for the membership rental card.
Step-by-step explanation:
Graphing Linear Inequalities
This is a graph of a linear inequality:
linear inequality y <= x +2
The inequality y ≤ x + 2
You can see the y = x + 2 line, and the shaded area is where y is less than or equal to x + 2
Linear Inequality
A Linear Inequality is like a Linear Equation (such as y = 2x+1) ...
... but it will have an Inequality like <, >, ≤, or ≥ instead of an =.
How to Graph a Linear Inequality
First, graph the "equals" line, then shade in the correct area.
There are three steps:
Rearrange the equation so "y" is on the left and everything else on the right.
Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)
Shade above the line for a "greater than" (y> or y≥)
or below the line for a "less than" (y< or y≤).
Let us try some examples:
Example: y≤2x-1
1. The inequality already has "y" on the left and everything else on the right, so no need to rearrange
2. Plot y=2x-1 (as a solid line because y≤ includes equal to)
Instructions: Find the angle measures given the figure is a rhombus.
Answer:
m∠1 = 90°
m∠2 = 55°
Step-by-step explanation:
1. m∠1 = 90° because by definition, the diagonals of a rhombus are perpendicular, or intersect at 90°.
2. Because of vertical angles, the angle opposite of ∠1 is also 90°. A triangle has a total of 180°.
m∠2 + 90 + 35 = 180
90 + 35 = 125
m∠2 + 125 = 180
subtract 125 from both sides to solve for m∠2
m∠2 = 55°
What is the equation of the line, in slope-intercept form, that passes through (3,-1) and (-1, 5)?
2 x + 3 y - 7 = 0
2 y=-3x+7
ASAP PLEASE
Answer:
[tex]2y = -3x+7[/tex]
Step-by-step explanation:
The coordinates are (3,-1) and (-1,5)
Finding the slope :
Slope = [tex]\frac{rise}{run}[/tex]
Slope = [tex]\frac{5+1}{-1-3}[/tex]
Slope = [tex]\frac{6}{-4}[/tex]
Slope = [tex]-\frac{3}{2}[/tex]
Now Finding y-intercept.
For this, we'll take any point
Let it be (3,-1)
So,
Point = (x,y) = (3,-1)
=> x = 3, y = -1
Putting in slope intercept form to get b
=> [tex]y = mx+b[/tex]
=> -1 = (3)([tex]-\frac{3}{2}[/tex]) + b
=> b = -1 + [tex]\frac{9}{2}[/tex]
=> b = [tex]\frac{7}{2}[/tex]
Putting m and b in the slope intercept form to get the required equation of line
=> [tex]y = mx+b[/tex]
=> [tex]y = \frac{-3x+7}{2}[/tex]
=> [tex]2y = -3x+7[/tex]
find the solution of pair of equation y=0 and y= -6
Answer:
Step-by-step explanation:
there is no soltion because it is not intersects
Answer:
No solution as it will not intersect.
HELP! URGENT PLEASE!
Answer: -7
Step-by-step explanation:
-3 is across from -7 on the chart, so -7 is the x that houses with the f(x) -3
The first two terms in a sequence are 8 and 11. What is the next value if this sequence is arithmetic?
Answer:
14
Step-by-step explanation:
From the question we are given the first term 8,second term 11 and we are to find the third term.
Using the formula:Tn=a+(n-1)d
Where a=first term=8
n=number of terms =3
d= difference between terms( second term -first term)=11-8=3
T3=8+(3-1)3
=8+2(3)
=8+6
The next term =14
Need answer ASAP TY.............................
Answer:
sin(g) = x/z
Step-by-step explanation:
Sine is opposite over hypotenuse. Our opposite is x and our hypotenuse is z. Therefore, our answer is sin(g) = x/z
Find the sum 3/5+1/9
hope it helps you tell me in the comment box
(•‿•)
Find the area. Use Pi = 3.14 a. 15.1976 cm2 c. 13.816 cm2 b. 6.908 cm2 d. 60.7904 cm2
Answer:
A.
Step-by-step explanation:
Diameter = 4.4 cm
Radius = 2.2 cm
Now
Area of the circle = πr²
= (3.14)(2.2)²
= (3.14)(4.84)
= 15.1976 cm²
Answer:
A.
Step-by-step explanation:
D=4.4, therefore, the Radius is equal to 2.2, half of the diameter.
The formula for Area:
A=pir^2.
A=(3.14)(2.2)^2
A=(3.14)(4.84)
A=15.1976
A=15.1976, which is identical to option A.
Plz HELP!!!!!!!!!!!!!!!!!!!!!
They are Parallel, Intersecting, and perpendicular, if it's helpful let me know
3.
Reasons
Statements
MNOP is a parallelogram
N
PM || ON
M
Given:
Alternate Int. Zs Thm,
MNOP is a parallelogram
MN II PO
Alternate Int. Zs Thm,
Prove:
PM = ON
(For this proof, use only the
definition of a parallelogram;
don't use any properties)
HE
Answer:
3. [tex]\overline{PM}\cong \overline{ON}[/tex] Distances between two parallel lines [tex]\overline{MN} \ and\ \overline{PO}[/tex]
4. [tex]\overline{AC}[/tex] = [tex]\overline{CE}[/tex]: Reason; Corresponding part of ΔACB and ΔDCE
C is the midpoint of [tex]\overline{AE}[/tex]: Reason; [tex]\overline{AC}[/tex] = [tex]\overline{CE}[/tex]: Definition of midpoint
Step-by-step explanation:
3. A parallelogram is defined as a quadrilateral with two opposite sides equal and parallel and having equal opposite interior angles
MNOP is a parallelogram: Reason; Given
[tex]\overline{PM}\left | \right |\overline{ON}[/tex] : Reason; Opposite sides of a parallelogram
∠NOM ≅ ∠OMP: Reason Alternate interior angles
[tex]\overline{MN}\left | \right |\overline{PO}[/tex]: Reason; Opposite sides of a parallelogram
∠NMO ≅ ∠MOP: Reason Alternate interior angles
[tex]\overline{PM}\cong \overline{ON}[/tex] Distances between two parallel lines [tex]\overline{MN} \ and\ \overline{PO}[/tex]
4. [tex]\overline{AB}\left | \right |\overline{DE}[/tex] : Reason; Given
∠EAB ≅ ∠AED: Reason; Alternate int. ∠s Thm
∠ABC ≅ ∠EDB : Reason; Alternate int. ∠s Thm
C is the midpoint of [tex]\overline{BD}[/tex]: Reason; Given
[tex]\overline{BC}[/tex] = [tex]\overline{CD}[/tex]: Reason; Definition of midpoint
Therefore, ΔACB ≅ ΔDCE: Reason Angle Angle Side (AAS) Theorem
[tex]\overline{AC}[/tex] = [tex]\overline{CE}[/tex]: Reason; Corresponding part of ΔACB and ΔDCE
C is the midpoint of [tex]\overline{AE}[/tex]: Reason; Definition of midpoint
What is the best estimate of the sum of the fractions?
31 17
4 3
+
+
8
18
o 12 1 / 2
13
141
15
Answer:
499/36
Step-by-step explanation:
If you find the LCM of all fractions and add them then you get 279/36+204/36+16/36 which is equal to 499/36
Answer:
Its B or 13
Step-by-step explanation:
find the circumference use 3.14 for pie r=2 m
Answer:
= 12.56 m
Step-by-step explanation:
The circumference is found by
C = 2* pi *r
C = 2 * 3.14 * (2)
= 12.56 m
Answer:
12.56 meters
Step-by-step explanation:
The circumference of a circle can be found using the following formula.
c= d* pi
We are given the radius. First, we must find the diameter. The diameter is twice the radius.
d=2*r
We know the radius is 2 meters. Therefore, we can substitute 2 in for r.
d=2*2
Multiply 2 and 2
d=4
The diameter is 4 meters.
Now we know the diameter, and can substitute 4 in for d in the circumference formula.
c= d* pi
d= 4 m
c= 4 m* pi
We also know we are using 3.14 for pi, so we can plug 3.14 in for pi.
c= 4 m * 3.14
c=12.56 m
The circumference of the circle is 12.56 meters.
XYZ is a triangle.
XY = 9.3 cm
YZ= 12.4 cm
Angle XYZ= 38°
Work out the area of triangle XYZ.
Give your answer correct to 3 significant figures.
Answer:
Area of ΔXYZ = 35.499 cm²
Step-by-step explanation:
From the figure attached,
In triangle XOY,
Sin38° = [tex]\frac{\text{OX}}{\text{XY}}[/tex]
OX = (XY)Sin38°
OX = (9.3)Sin38°
= 5.7257 cm
Area of a triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(\text{YZ})(\text{OX})[/tex]
= [tex]\frac{1}{2}(12.4)(5.7257)[/tex]
= 35.499 square cm
Therefore, area of the given triangle XYZ = 35.499 cm².
Which statement is true?
Answer:B
Step-by-step explanation:
Answer:
The real correct answer is C
Step-by-step explanation:
please help me for brainliest
Answer:
Step-by-step explanation:
A) These are the squares of another number or we can say the prime numbers
B) THE NEXT NUMBER IN THE SEQUENCE IS 9 BECAUSE ALL THESE ARE SQUARES OF 8 7 6 5 4 AND THE LAST ONE WILL BE 9
B
Which transformations could have taken place to
map ABC to A'B'C'
B"
a reflection and a dilation
a rotation and a dilation
C"
A"
a translation and a dilation
a reflection and a translation
C
Answer: C
Step-by-step explanation:
Translating A'B'C' to A''B''C'' doesn't change the position of the vertices and to make it smaller you have dilate the figure because that is the only way to change the size of a shape.
.Reflecting the figure changes the position of the vertices so A and D can't be an answer choice.
PLEASE ASAP FOR BRAINLIEST
Answer:
27°
Step-by-step explanation:
Angle ABC is 90°
ACB is 63 because it is vertically opposite angle GCJ
Angle CAB is 27° (90-63)
angle x is 27° (vertically opposite CAB)
Rafael has 118 baseball cards arranged in an album. Each page of the album can hold 9 cards. How many pages are full and how many cards are on the last page?
Answer:
Dear user,
Answer to your query is provided below
Pages full = 13
Card on last page = 1
Step-by-step explanation:
Rafael has 118 baseball cards.
Each album can hold 9.
So, using multiples of 9 or by dividing 118/9
That 1 is remainder.
So, cards on last page is 1
Verify ,
Pages full = (118-1)/9 = 13
PLEASEEEE If z=-1-sqrt3i and z^6 = a+bi, then a=___ and b=___.
Answer:
a = 94
b = -66√3
Step-by-step explanation:
Given z = [tex]-1-i\sqrt{3}[/tex]
[tex]z^{6}=(z^{3})^{2}[/tex]
[tex](-1-i\sqrt{3})^6=[(-1-i\sqrt{3})^3]^2[/tex]
[tex]=[-(1+i\sqrt{3})^3]^{2}[/tex]
[tex]=[(1+i\sqrt{3})^3]^2[/tex]
[tex]=[(1)^3+(i\sqrt{3})^3+3(1)^2(i\sqrt{3})+3(1)(i\sqrt{3})^2]^2[/tex] [(a + b)³ = a³ + b³ + 3a²b + 3ab²]
= [1 + 3i² + 3i√3 + 9i²]²
= [1 - 3 + 3i√3 - 9]²
= [-11 + 3i√3]²
= (11)² -2(3i√3)(11) + (3i√3)²
= 121 - 66i√3 + 27i²
= 121 - 66i√3 - 27
= (94 - 66i√3)
Comparing it with (a + bi),
a = 94 and b = -66√3
30 points A repeating decimal + A fraction...
Answer:
rational
Step-by-step explanation:
Answer:
Rational Number
Step-by-step explanation:
A repeating decimal added to a fraction will result in a rational number.
i’m not sure how to solve “system of equations”
Hey there! :)
Answer:
(2, -2)
Step-by-step explanation:
-2x + y = -6
4x + 3y = 2
We can begin by setting the first equation equal to y:
-2x + y = -6
Add 2x to both sides:
y = 2x - 6
Plug this equation for y into the second equation:
4x + 3(2x - 6) = 2
Distribute:
4x + 6x - 18 = 2
Combine like terms:
10x = 20
x = 2
Plug the value of 'x' into an equation to solve for 'y':
-2(2) + y = -6
-4 + y = -6
y = -2
Therefore, the solution is (2, -2)
The function of fx has been transformed to give go. Witch of the following functions represent gx?
Answer:
Sorry your mouse is blocking the fx equation. Is it x squared? I can't help you if I can't see what the equation is I'm sorry
Step-by-step explanation:
When something is parallel to each other there what
Answer:
they are 2 lines that look ;like this =
Step-by-step explanation: the 2 lines of the equal sign are parallel
Can someone help me im kinda dumb :/
Answer:
9. a₁ = 13, aₙ = aₙ₋₁ × (-2)
10. aₙ = 2 (-3)ⁿ⁻¹
Step-by-step explanation:
9. aₙ = 13 (-2)ⁿ⁻¹
This is a geometric sequence where the first term is 13 and the common ratio is -2.
So the recursive formula is:
a₁ = 13, aₙ = aₙ₋₁ × (-2)
10. a₁ = 2, aₙ = aₙ₋₁ × (-3)
This is a geometric sequence where the first term is 2 and the common ratio is -3.
So the explicit formula is:
aₙ = 2 (-3)ⁿ⁻¹