Answer:
3
Step-by-step explanation:
Answer:3
Step-by-step explanation:
Which expression is equivalent to
5^10 x 5^5?
a.5^2
b.5^5
c.5^15
d.5^50
The expression into an equivalent form [tex]5^{10} \times 5^5[/tex] is [tex]5^{15}[/tex].
What are equivalent expressions?Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions.
To derive equivalent expressions of some expressions, we can either make it look more complex or simple. Usually, we simplify it.
We need the expression into an equivalent form.
This expression could also be given by;
[tex]5^{10} \times 5^5[/tex]
Now plug the values then we get;
[tex]5^{10} \times 5^5\\\\= 5^{10+ 5} \\\\= 5^{15}[/tex]
Hence, the expression into an equivalent form [tex]5^{10} \times 5^5[/tex] would be; [tex]5^{15}[/tex]
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An orange has a volume of about 113.1 cm3. What is the area of the cross section when it is cut in half? Round to the nearest tenth.
Answer:
r = 1.0 cm to the nearest tenth
Step-by-step explanation:
The formula for the area of a circle of radius r is A = (pi)r². So, from the given information we need to determine the radius of the orange. The volume formula is V = (4/3)(pi)r³ and in this case V = 113.1cm³. Thuis,
(4/3)(pi)r³ = 113.1cm³
3 3(113.1 cm³)
Multiplying both sides by ------------ , we get r³ = --------------------- , and so
4(pi) 12.57
r³ = 339.3 cm³ / 12.57 ≈ 0.997, so that r ≈ ∛(0.997 cm³) ≈ 0.9999, or
r = 1.0 cm to the nearest tenth.
-12 + 18. = 70
complete the square
What is the range of the function y=e* + 1 graphed below?
[tex]$f: \mathbb{R} \rightarrow \mathbb{R}, f(x) = e^{x} + 1$[/tex]
[tex]\text{Range}(f) = \{y \in \mathbb{R} \vert x \in \mathbb{R}, f(x) = y\}[/tex]
[tex]\text{Suppose $f(x) = a$}\\e^{x} + 1 = a \implies e^{x} = a - 1 \implies x = \ln(a-1)\\[/tex]
[tex]\text{For the logarithm to be real, it must be true that $a - 1 > 0$}\\\text{But then we have that } a > 1. \implies \boxed{\text{Range}(f) = (1, \infty)}[/tex]
Answer:
The answer is D. y > 1 on edge
Two fire-lookout stations are 100 miles apart, with station A directly south of station B. Both stations spot a fire. The bearing of the fire from station A is Upper N 55 degrees Upper EN55°E and the bearing of the fire from station B is Upper S 60 degrees E.S60°E. How far, to the nearest tenth of a mile, is the fire from each lookout station?
Answer:
The distance from station A to the fire is 90.4 miles
The distance from station B to the fire is 95.6 miles
Step-by-step explanation:
Given that 2 fire stations are 100 miles apart.
Station A = N 55°E
Station B = S 60°E
To find the distance of the fire from each station, let's use the law of sines,
From the diagram, our values are:
A = 55°
B = 60°
Let's take C as point of fire.
Since the total sum of angle in a triangle is 180,
A+B+C=180
C = 180 - A - B
C = 180 - 55 - 60 = 65°
For station A.
[tex] \frac{Sin A}{a} = \frac{Sin C}{c} [/tex]
[tex]\frac{Sin55}{a} = \frac{Sin65}{100}[/tex]
[tex]a = \frac{Sin55 * 100}{Sin65}[/tex]
[tex]a = 90.38[/tex]
The distance from station A to the fire is 90.4 miles
For station B:
[tex] \frac{Sin B}{b} = \frac{Sin C}{c} [/tex]
[tex]\frac{Sin60}{b} = \frac{Sin65}{100}[/tex]
Solving for b, we have:
[tex]a = \frac{Sin60 * 100}{Sin65}[/tex]
[tex]a = 95.6[/tex]
The distance from station B to the fire is 95.6 miles
The measure of one acute angle in this right triangle is 30°. What is the measure of the
other acute angle?
300
OA) 30°
OB) 60°
OC) 70°
OD) 90°
Answer:
60°
..................
Answer:
Dear mate your answer is 60
when is a event likely, not likely, unlikely in probolility
i need help
Answer:
umm is there something else we need to see
If it takes two skilled workers 2 weeks to
remodel two bathrooms, how long will it take
10 skilled workers to remodel 10 bathrooms?
Andre is preparing for the school play and needs to paint the cardboard castle backdrop that measures feet by 6 feet.
How much cardboard does he need to paint?
If one bottle of paint covers an a area of 40 square feet, how many bottles of paint does Andre need for his backdrop
Answer:
a. 85.5 sq ft
b. 3 bottles
Step-by-step explanation:
a. The cardboard is rectangular in shape. How much he needs to paint is the same as the cardboard that he needs to paint.
The area of a rectangle is given as:
A = L * B
where L = length and B = breadth
Therefore, the area of the cardboard having dimensions 14 1/4 feet by 6 feet is:
A = 14 1/4 * 6
A = 57 / 4 * 6 = 85.5 sq feet
He needs to paint 85.5 sq feet of the cardboard.
b. On bottle of paint covers 40 sq feet. The number of bottles he will need for his backdrop will be the area he needs to paint divided by the amount of paint that can cover 40 sq feet:
85.5 / 40 = 2.14
Since the number of bottles he will need is a whole number and its greater than 2, then it must be 3.
To paint the entire cardboard, he must have 3 bottles of paint.
Answer:
75 feet
Step-by-step explanation:
Sally completely solves at least 7 questions per hour and at most 10 questions per hours. Based on this information, what is a possible number of questions that Sally can completely solve in 5 hours?
Answer:
Minimum-35
Maximum-50
Step-by-step explanation:
Sally can solve 35 questions in 5 hours and at most 70 question in 5 hours.
What is mean by Ratio?
A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
Given that,
Minimum number of questions sally can solve in 1 hour = 7
Maximum number of questions sally can solve in 1 hour = 10
Now minimum of of question sally can solve in 5 hour,
= 5x7
= 35 questions
And Maximum number of question she can solve in 5 hour,
= 5x10
= 50 questions.
Hence,
In 5 hours she can solve,
Minimum 35 questions
Maximum 50 questions.
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Help me ASAP‼️! A walkway surrounds a rectangular garden. The width of the garden is 9 feet, and the length is 12 feet. The width of the walkway around the garden is the same on every side . Write an expression that represents the total area of the garden and walkway.
_____ q^2+____q+_____
Answer:
total area of the garden and walkway = 2a² + 21a + 54
Step-by-step explanation:
The walkway surrounds the rectangular garden. The width of the garden is 9 ft and the length is 12 ft. Since the width of the walkway around the garden is the same on every side let us use a to represent the width around the garden.
The garden is rectangular and the width of the walkway around the garden is uniform. The width added on both end of the width of the rectangle will be 2a while the width added to the both length of the rectangle will be 2a also.
Therefore
total area of the garden and walkway = length × width
length of garden and the walkway = 2a + 12
width of garden and the walkway = 2a + 9
total area of the garden and walkway = (2a + 12)(2a + 9)
total area of the garden and walkway = 4a² + 18a + 24a + 108
total area of the garden and walkway = 4a² + 42a + 108
divide through by 2
total area of the garden and walkway = 2a² + 21a + 54
What is the solution to the inequality?
-2x - 4 ≤ 11
Thank you!
Answer:
x ≥ -15/2
Step-by-step explanation:
-2x - 4 ≤ 11
Add 4 to each side
-2x - 4+4 ≤ 11+4
-2x ≤ 15
Divide each side by -2, remembering to flip the inequality since we are dividing by a negative
-2x/-2 ≥ 15/-2
x ≥ -15/2
Answer:
x≤-7.5
Step-by-step explanation:
-2x - 4 ≤ 11
Add 4 to both sides
-2x≤15/-2
Divide
x≤-7.5
Prove the triangles are congruent
Answer:
1: two sides and angle of one triangle are congruent.
Step-by-step explanation:
The triangles are congruent because two sides and the generated angle of a triangle correspond to their respective sections. If two angles and the side used in one triangle are identical.
Hope this helps
Find the average of 23 and −7.
Answer:
8
Step-by-step explanation:
23 + (-7) =16
16/2 = 8
Answer: 8
Step-by-step explanation:
23+(-7) = 16/2 = 8
Of the following approximate conversions of Fahrenheit into Celsius, which is most accurate?
a. 14°F Almost-equals -10.8°C
b. 78°F Almost-equals 25.3°C
c. 106°F Almost-equals 41.7°C
d. 7°F Almost-equals -12.9°C
NVM it's B
Answer:
its B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Un kg de banane costa cat doua kilograme de portocale . Un restaurant a cumparat 30 de kg de portocale si 45 de kg de banane , pentru care a platit 360 de lei . Determinati pretul unui kg de portocale.
am nevoie urgent de raspuns .
Answer:
One kilogram of oranges cost $3.Step-by-step explanation:
The problem states
1 kilogram of bananas costs as much as 2 kilograms of oranges. ([tex]1 \ kg \ bananas = 2 \ kg \ oranges[/tex])30 kilograms of oranges plues 45 kilograms of bananas cost $360.Let's call [tex]x[/tex] one kilogram bananas and [tex]y[/tex] one kilogram oranges. The cost is related by
[tex]x=2y[/tex]
Also, we know by given
[tex]45x+30y=360[/tex]
Replacing the first equation into the second one, we have
[tex]45(2y)+30y=360\\90y+30y=360\\120y=360\\y=\frac{360}{120}\\ y=3[/tex]
Then, we find the other value
[tex]x=2(3)=6[/tex]
Therefore, one kilogram of oranges cost $3.
Annie has $18.00 to spend at the grocery store. She is going to buy bags of nuts that cost $5.70 each and one box of cookies that costs $4.25.Write and solve an inequality that models this situation and could be used to determine the maximum number of bags of nuts, n, Annie can buy. (Show all your work)
Answer: She can buy up to 2 bags of nuts
Step-by-step explanation:
Hi, to answer this question we have to write an inequality:
The product of the number of bags of nuts bought (n) and the price per bag (5.70); plus the price of one box of cookies (4.25) must be less or equal to Annie's money (18).
5.70n +4.25 ≤18
Solving for x:
5.70n ≤18 -4.25
5.70n ≤13.75
n ≤13.75/5.70
n ≤2.41
n ≤2 (rounded)
She can buy up to 2 bags of nuts
Answer:2
Step-by-step explanation:
The prism shown has a volume of 798 cm3.
a l of 9.5 and a width of 8
What is the height of the prism?
8.6 cm
10.5 cm
17.5 cm
45.6 cm
Answer:
10.5 cm
Step-by-step explanation:
Volume = base area × height
798 = (9.5 × 8) × height
height = 798/76
height = 10.5
Answer:
The answer is 10.5
Step-by-step explanation:
I got it correct on edge 2021
EASY 30 POINTS! The population of the town of White Plains has decreased by 2.2 percent per year since 1970. In 1995, the town had a population of approximately 1,200 people. Which of the following functions represents the town’s population, P, y years since 1995?
P(y) = 1,200(−2.2)y
P(y) = 1,200(0.978)y
P(y) = 1,200(−2.2)y − 25
P(y) = 1,200(0.978)y − 25
GIVING BRANLIEST
Answer:
B
Step-by-step explanation:
work out 4.50 ÷ 0.05
Answer:
90
Step-by-step explanation:
Solve the system of equations using substitution.
y = 5x + 5 x = - 3
A.(- 20, - 3)
B.(- 10, - 3)
C.(- 3, - 10)
D.(- 3, - 20)
Answer:
C. (-3, -10)
Step-by-step explanation:
First label the 2 equations.
y=5x +5 -----(1)
x= -3 -----(2)
subst. (2) into (1):
y= 5(-3) +5
y= -15 +5 (expand)
y= -10 (simplify)
Thus, the answer is (-3, -10).
Answer:
THe answer is C
Step-by-step explanation:A
As seen by the last answer when we substitute the variable we can get (-3,-10)
x=-3------(2)
y=5x+5-----(1)
y=5(-3)+5
y=-15+5
y=-10
so (-3,-10) is the correct answer
Question 16 (Essay Worth 7 points)
Verify the identity.
tan (x + π/2) = -cot x
Step-by-step explanation:
We know that tan=sin/cos, so tan(x+π/2)=
[tex]\frac{sin(x+pi/2)}{cos(x+pi/2)}[/tex]
Then, we know that sin(u+v)=sin(u)cos(v)+cos(u)sin(v),
so our equation is then
[tex]\frac{sin(x)cos(\pi/2)+cos(x)sin(\pi/2)}{cos(x+\pi/2)} = \frac{cos(x)}{cos(x+\pi/2) }[/tex]
Then, cos(u+v)=cos(u)cos(v)-sin(u)sin(v), so our expression is then
[tex]\frac{cos(x)}{cos(x)cos(\pi/2)-sin(x)sin(\pi/2)} = \frac{cos(x)}{-sin(x)} = -cot(x)[/tex]
Solve these equations. If possible, reduce your answers.
3/4x=−1 1/4
Answer:
-1 2/6
Step-by-step explanation:
Answer:
Step-by-step explanation:
Name a quadrilateral with exactly two pairs of congruent angles.
parallogram it has exactly 2 pairs of congruent angles
Answer:
Parallelogram.
Step-by-step explanation:
I NEED ANSWER ASAP!
Chiara has 26 coins that equal 34 cents. All the coins are pennies, p, and nickels, n. How many nickels and pennies does Chiara have? Use the table to guess and check.
1. 20 pennies and 6 nickels
2. 21 pennies and 5 nickels
3. 23 pennies and 3 nickels
4. 24 pennies and 2 nickels
Answer:
#4
Step-by-step explanation:
p+n=26
.01p+.05n=.34
graph it out by desmos...?
you'll get the coordinates (24,2)
The number of pennies and nickels chiara has is 24 pennies and 2 nickels; the correct option is 4
What is the solution for an equation?The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of those variable would give a true mathematical statement.
Let;
p = the number of penny coins
n = the number of nickel coins
Remember;
1 penny = $0.01
1 nickel = $0.05
Chiara has 26 coins that equal 34 cents
so, p + n = 26
isolate the variable x;
p = 26 - n...equation(1)
34 cents=$0.34
0.01p + 0.05n = 0.34
Multiply by 100 both sides;
1p + 5n =$34
isolate the variable x;
p = 34 -5n...equation(2)
Create a table to guess;
Assume different values of n and determine the value of p in equation 1 and equation 2
The solution is when the value of p in the equation 1 must be equal to the value of p in equation 2
For n=1;
equation 1; p = 26-1 = 25
equation 2; p = 34-5(1)= 29
29 is not equal to 25
For n=2
equation 1; p= 26-2 = 24
equation 2; p= 34-5(2) = 24
24=24
Hence, the answer is (2,24)
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Given that the y intercept is 3 and the slope is -2/3 what is the equation of the line?
a) y=2/3x+3 b) y= -2/3+3
c) y=3x-2/3 d) y=3x+2/3
Answer:
B y=-2/3x+3
Step-by-step explanation:
y=mx+b
y=-2/3x+3
Answer:
Step-by-step explanation: y= -2/3x+3
Evaluate the following expression using the given values: (1 point)
Find x - 3y if x = 3 and y = -2.
-9
-3
3
9
Answer: 9
Step-by-step explanation:
x-3y
(3)-3(-2)
3+6
9
It is D i took the test!
what is 40/32 in its simplest form
Answer:
1 and 1/4
Step-by-step explanation:
40/32 divided by 8 = 5/4
5 divided by 4 = 1 R1
5/4 = 1 1/4
Which situation gives you the fewest number of possible outcomes?
A.
You choose 2 beads from a jar of 9 beads.
B.
You choose 4 cards out of 8 cards.
C.
You choose 5 people out of 6 people.
D.
You choose 4 socks out of 32 socks in a drawer.
Answer:
c you choose 5 out of 6 people
PLZ HELP
On a coordinate plane, triangle J K L has points (0, negative 1), (negative 2, 1), and (3, 3).
Reflect the triangle over the y-axis and find the coordinate of the image of point K.
K’(2, 1)
K’(–2, 1)
K’(–2, –1)
K’(2, –1)
Answer:
K'(2, 1 )
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ), thus
K(- 2, 1 ) → K'(2, 1 )
A - Trust me, its A
The people above are wrong