Answer:
34 cm
Step-by-step explanation:
Keep in mind that the perimeter of a rectangle is the sum of the measures of its sides. This means that the sum of the longer sides and the shorter sides is the perimeter of the rectangle.
Let "L" represent the longer side (length) of the rectangle and "S" represent the shorter side (width) of the rectangle.
⇒ Perimeter of rectangle = L + S + L + S
⇒ Perimeter of rectangle = 2(L) + 2(S)
⇒ Perimeter of rectangle = 2(L + S)
Now, let's substitute the length and the width in the perimeter and simplify.
⇒ Perimeter of rectangle = 2(10 + 7) [L = 10; S = 7]
⇒ Perimeter of rectangle = 2(17)
⇒ Perimeter of rectangle = 34 cm
Answer: 70 cm
Step-by-step explanation: 10 x 7 = 70
hope this helps
Freda bought 700 grams of almonds and 500 grams of cashews. How many kilograms of nuts did Freda buy in all?
Answer:
1.2kl
Step-by-step explanation:
1000grams=1kilogram
700+500=1200
so 1.2kilograms
Is this adjacent, vertical, linear, or complimentary?
Adjacent angles share a common side. Think of two neighboring adjacent apartments that share a common wall.
An employee wants to invest $50,000 in a pension plan. One investment offers 4% compounded quarterly. Another offers 3.75% compounded continuously.
(a) Which investment will earn more interest in 4 yr?
(b) How much more will the better plan earn?
Using compound interest and continuous compouding, it is found that:
a) The investment at 4% compounded quarterly will earn more interest in 4 years.
b) The better plan will earn $537 more.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year.In this problem, the parameters are: P = 50000, r = 0.04, n = 4, t = 4, hence the amount will be of:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(4) = 50000\left(1 + \frac{0.04}{4}\right)^{4 \times 4}[/tex]
A(4) = $58,629.
What is the continuous compounding formula?It is given by:
[tex]A(t) = Pe^{rt}[/tex]
In this problem, this option has r = 0.0375, hence:
[tex]A(4) = 50000e^{0.0375 \times 4} = 58092[/tex]
Then:
Item a:
The investment at 4% compounded quarterly will earn more interest in 4 years.
Item b:
58629 - 58092 = $537.
The better plan will earn $537 more.
More can be learned about compound interest at https://brainly.com/question/25781328
What is three multiples of 6
Answer:
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60
Step-by-step explanation:
Mark stands at the intersection in observes if cars go left right or straight. After watching for a while, he recorded that 10 cars went straight for cars went left and six cars went right. Estimate the probability that the next car goes left then place the probability on the scale below. help me pls. I have way more packets and I need them done by tmr
Answer:
0.2
Step-by-step explanation:
Total number of cars: 10 + 4 + 6 = 20
Number of cars that turned left: 4
p(left) = 4/20 = 0.2
To place 0.2 on the scale, divide the segment from 0 to 1/2 into 5 equal parts, and place 0.2 on rthe second from the left.
During which time period was the ANNUAL rate of increase of the speed the GREATEST?
A) from year 1 to year 2
B) from year 1 to year 3
C) from year 1 to year 4
D) from year 1 to year 5
Answer:
A) year 1 to year 2
Step-by-step explanation:
The increases in speed are found by subtracting the speed from the year before.
1 to 2: 46 -38 = 8
2 to 3: 52 -46 = 6
3 to 4: 57 -52 = 5
4 to 5: 61 -57 = 4
The greatest increase was from year 1 to year 2.
is 25 fl oz greater than, less than, or equal to 1 pint?
Answer needs to be RIGHT, to be brainliest
Answer:
greater than
Step-by-step explanation:
there is 16 fl oz in a pint so 25>16
Stacy’s goal is to run at an average speed of 1 mile per 10 minutes. What is the number of laps that she must run in 1/2 hour to reach her goal?
Answer:
3 miles (3 laps)
Step-by-step explanation:
Assuming 1 lap is a mile, and 1/2 hour has 30 minutes, 1 mile per 10 minutes gives us 3 miles.
find the value of 6y - 1 given that 17y - 8 = 9
Answer:
5
Step-by-step explanation:
if 17y-8=9, then you could say that 17y=17, by adding 8 to both sides.
So, y=1
Then, plug that value into the new equation 6y-1.
You recieve 6(1)-1
Therefore, the value of the new equation is 5
Find the lengths of the sides of the triangle, then click to identify the triangle as scalene, isosceles, or equilateral. K(7, 0), L(3, 4), M(2, -1)
Answer:
triangle KLM is isosceles
Step-by-step explanation:
[tex]kl = \sqrt{(3 - 7) ^{2} + ({4 - 0) ^{2} } } = 4 \sqrt{2} \\ lm = \sqrt{(2 - 3 ) ^{2} + ( - 1 - 4) ^{2} } = \sqrt{26} \\ lk = \sqrt{(2 - 7) ^{2} + ( - 1 - 0) ^{2} = \sqrt{26} } [/tex]
therefore it is isosceles.
Between which two consecutive whole number is V67 located? NEED HELP PLEASE
Answer:
betweennnnnnn 8 and 9!!! :)
A 100g apple is placed on a table. What is the force in newtons of the apple on the table?
Answer:
1N
Step-by-step explanation:
Assuming acceleration of gravity=10m/s²
Force=100/1000kg×10m/s²=1N
Determine whether the statement is true or false.
When an event is almost certain to happen, its complement will be an unusual event.
If the converse of a conditional statement is false, then what other statement must be false?
Answer:
The statement is false
Help I don't understand this math. Whoever gets the right answer gets Brainlist! :)
Find the equation using this graph.
Answer:
the slope is 2
y=2x-1
Step-by-step explanation:
y(2)-y(1)/x(2)-x(1) is the formula for slope
-1-0/0-0.5=-1/0.5=2
however, it is looking for the equation
y=mx+b
(b=y intercept)
m=slope
y=2x-1
Answer:
Step-by-step explanation:
The equation of a line is y = m*x + b
So plug in the numbers...
the slope is the change in y over the change in x or (y - y₁)/(x - x₁)
(-1 - 0)/(0 - 0.5) = 2
so... m = 2
and b is the y-intercept which is -1
therefore the answer is: y = 2x - 1
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
( I have verified my answer on an online calculator)
1. What is the cross section formed by cutting a cylinder perpendicular to its base?
2. What is the cross section formed by cutting a cone parallel to its base?
3. What is Cavalier's Principle? Can you think of an example applying it to everyday life?
…………….
Answer:
1
Depends on the cross section axis
place a cylinder can on a table , circular and side down .Look down at it and you see the other end so the cross section is circle
Turn it on its side and the cross section is rectangle
Nicole makes $8 per hour working at a daycare center. How much money would Nicole make in 2 1/2 hours?
Answer:
$20
Step-by-step explanation:
take 8 and multiply it by 2 and you get 16
then take half of 8 which is 4 and add it on
16+4=20
At the frozen yogurt shop, a machine fills cups with 4 ounces of frozen yogurt before adding the toppings. After the cups are filled, customers add as many toppings as they want without exceeding a total weight of 6 ounces. Which of the following represent the acceptable weights for the frozen yogurt options? Select all that apply:
A.) 0 < x ≤ 6
B.) 0 < x ≤ 3
C.) 4 ≤ x ≤ 6
D.) x ≤ 6
E.) |x - 5| ≤ 1
F.) |x - 2| ≤ 6
Answer
4 ≤ x ≤ 6 and |x - 5| ≤ 1
Step-by-step explanation:
I answered the question...i got it right...
Round your answer to the nearest hundredth. Please help!!
[tex]\tan \angle B = \dfrac{AC}{BC} \\\\\implies \angle B = \tan^{-1} \left(\dfrac{AC}{BC} \right) = \tan^{-1}\left(\dfrac 56 \right)=39.81^{\circ}[/tex]
Please Help i need a professional no scam answers that have been happening i need to get allot done bye friday
Answer:
39%
Step-by-step explanation:
21/125=.168
33/125=.264
.432-.044352=.387648*100=39%
The graph of f(x) = x2 is translated to form g(x) = (x – 5)2 + 1.
On a coordinate plane, a parabola, labeled f of x, opens up. It goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4).
Which graph represents g(x)?
On a coordinate plane, a parabola opens up. It goes through (2, 10), has a vertex at (5, 1), and goes through (8, 10).
On a coordinate plane, a parabola opens up. It goes through (2, 8), has a vertex at (5, negative 11), and goes through (8, 8).
On a coordinate plane, a parabola opens up. It goes through (negative 8, 10), has a vertex at (negative 5, 1), and goes through (negative 2, 10).
On a coordinate plane, a parabola opens up. It goes through (negative 8, 8), has a vertex at (negative 5, negative 11), and goes through (negative 2, 8).
it goes through the point (2, 10), has a vertex at (5, 1) and goes through the point (8, 10)
Steve drew two circles, one with a radius of 10.0 cm and another
with a diameter of 10.0 cm. Which circle is which
Answer:
Circle 1 = diameter of 10 cm
Circle 2 = radius of 10 cm
Step-by-step explanation:
The radius is half the diameter.
If both the radius and the diameter are the same length, then the circle with the radius of 10 is larger because 10 times 2 is a 20 cm diameter.
The larger circle is circle #2. If we use the logic from above, the larger circle, #2, has a radius of 10 cm. This leaves us with circle #1 having a diameter of 10 cm.
Circle 1 has a diameter of 10
Circle 2 has a radius of 10
Step-by-step explanation:Diameter and Radius
The diameter is the distance from one point on a circle to the opposite side. Radius is the distance from the center of a circle to a point on the circle. This means that the diameter is twice the size of the radius.
Finding Diameter
One way to find out which circle is which is to find the diameter of both. We know that one of the circles had a diameter of 10. The circle that has a radius of 10 must have a diameter of 20 because 10*2=20. Since the circle with a radius of 10 has a diameter of 20, it must be the larger circle, Circle 2.
Reading the Graph
Additionally, you can read the figure given to you. The radius is from the center of a circle to the outside. The line drawn is 10 meters and goes from the center of circle 2 to the outside of circle 2. Thus, this circle must have a radius of 10.
When K is positive the parabola ____
Answer:
when the parabola form updward than k is positivesolve for x ~
[tex]{x {}^{2} - 4x = 0}[/tex]
★ list all the possible values ~
thankyou ~
Answer:
x = 0,4
Step-by-step explanation:
Given
x² - 4x = 0Simplifying
Take x to be a common factor so we'll have 2 factors⇒ x(x - 4) = 0⇒ x = 0 and x = 4⇒ x = 0,4Answer:
All values of x are 0 and 4 .Step-by-step explanation:
In this question we have given an equation that is x² - 4x = 0 and we have asked to find all the possible values of x . So finding our answer ,
[tex] \longmapsto \: x {}^{2} - 4x = 0[/tex]
Step 1 : We are taking x common :
[tex] \longmapsto \: x(x - 4) = 0[/tex]
Step 2 : That means :
[tex] \longmapsto \:x = 0 \: and \: (x - 4) = 0[/tex]
Step 3 : Finding value of x for x - 4 :
[tex] \longmapsto \:x = 4[/tex]
[tex] \pink{ \boxed{ \sf{Therefore , \: value \: of \: x \: are \: 0 \: and \: 4 }}}[/tex]
#Keep Learning439,532 written in verbal form
Answer:four hundred and thirty nine thousand five hundred and thirty two
Step-by-step explanation:
Answer:
four hundred thirty nine thousand, five hundred thirty two
Step-by-step explanation:
Hope this helps :)
A random sample of banana tree yields has a sample mean of x=67 banana and sample standard deviation of s= 2 bananas. Use the empirical rule to estimate the percentage of banana yields that are less than 61 bananas. Round your answer to the nearest hundredth.
Using empirical rule, 99.85% of the data falls above 61
Data;
Mean = 67standard deviation = 3Empirical RuleUsing empirical rule, it states that 68% of data is within 1 standard deviation from the mean mean± standard deviation 95% of data falls within 2 standard deviations from the mean mean± 2* standard deviation and 99.7% of data falls within 3 standard deviations from the mean mean± 3sd . So we can say that 0.15% of data are below mean minus 3 * standard deviation and 0.15% of data are above mean+3sd. In this case, the mean is 67 , SD = 3.
And if 61 is 3×SD below mean
[tex]Pr(X > 61)=1-Pr(X\leq 61) = 1 - 0.0015 = 0.9985\\1-0.0015=0.9985[/tex]
99.85% of data is above 61
Learn more about empirical rule here;
https://brainly.com/question/13351801
Emily walked 5 2/6 miles in the morning and another 3 3/5 miles in the afternoon What was the total distance she walked?
Answer:
The correct answer would be 8 14/15 miles.
Step-by-step explanation:
You have to get the fractions 5 2/6 and 3 3/5 to a common denominator (30) getting you the fractions 10/30 and 18/30. 10/30+18/30 is 28/30 which can simplify to 14/15. 5+3 = 8 getting you the answer of 8 14/15
Which expression does sine of the quantity pi plus theta end quantity plus cosine of the quantity pi over 2 minus theta end quantity simplify to?
sin θ + cos θ
2cos θ
0
1
(Equation in photo below)
Answer:
(c) 0
Step-by-step explanation:
Each of the terms in the expression represents a different transformation of a different trig function. Expressing those as the same trig function can make it easier to find the sum.
__
We can start with the identity ...
cos(x) = sin(x +π/2)
Substituting the argument of the cosine function in the given expression, we have ...
cos(π/2 -θ) = sin((π/2 -θ) +π/2) = sin(π -θ) = -sin(θ -π)
__
The first term, sin(π +θ), is a left-shift of the sine function by 1/2 cycle, so can be written ...
sin(π +θ) = -sin(θ)
The second term is the opposite of a right-shift of the sine function by 1/2 cycle, so can be written ...
cos(π/2 -θ) = -sin(θ -π) = sin(θ)
Then the sum of terms is ...
sin(π +θ) +cos(π/2 -θ) = -sin(θ) +sin(θ) = 0
The sum of the two terms is identically zero.
Which persons dues are cheaper per month? explain. (please help)
Answer:
Claire
Step-by-step explanation:
kinda confusing problem given by my teacher:
What is the total discount percent as compared to the original price, if trousers are discounted by 12% and then a further 20% discount is given and new price is $281.6. (answer like this xx.x)
Answer:
Below
Step-by-step explanation:
281.6x20%= 56.32
281.6+56.31=337.91
337.91x12%=40.55
337.91+40.55=378.46