Answer: B
Step-by-step explanation:
If she bought 9 packs of pens at 2.50$ each then she spent 22.50$ on pens. If you add up the packs and multiply by the price you get your answer. 2.50 * (2+3+4) = 22.50$
Is 63 cm greater than less than or = to 6 m
63cm is smaller than 6 m
63 cm is less than 6 m. A centimeter is a small unit used to measure length. It is equal to one hundredth of a meter. The term "centi" is used in the International System of Units to represent 1/100 of something.
What is the centimeter?To look at the lengths of 63 cm and 6 m, one need to ensure that both values are in the same unit of measurement. Since 6 m is in meters, we should convert 63 cm to meters before making the comparison.
1 meter is equal to 100 centimeters, so one can convert 63 cm to meters by dividing it by 100:
63 cm = 63/100 m = 0.63 m
So, both values are in meters, and one can compare them:
0.63 m < 6 m
Therefore, one can say that 63 cm is less than 6 m.
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What is the exact circumference of a circle with a diameter 15 inches
The exact circumference of a circle with a diameter of 15 inches is 41.72 inches
How to solve this equation
[tex]\bold{Hey\ there!}[/tex]
[tex]\bold{x^2=81}[/tex][tex]\bold{Take\ your\ particular\ root\ (square\ root\ preferably)}[/tex][tex]\rightarrow{\bold{x=\pm\sqrt{81}}}[/tex][tex]\bold{\frac{\sqrt{81}}{9}=9}[/tex][tex]\boxed{\boxed{\bold{Answer:x\rightarrow9\ or\ x\rightarrow-9}}}\checkmark[/tex][tex]\bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
find the surface area of a prism
The surface area of a rectangular prism is SA = 2wl + 2lh + 2hw
Answer:
There is no prism
Step-by-step explanation:
What is the surface area of the triangular prism?
Answer: A triangular prism has three rectangular sides and two triangular faces. To find the area of the rectangular sides, use the formula A = lw, where A = area, l = length, and h = height. The formula A=1/2 bh
The equation of a line is x = -4 what is the slope
The slope is undefined because it is a vertical line
Answer:
The slope is undefined.Step-by-step explanation:
The vertical line equation has the form x = a (a - any real number).
The vertical line has an undefined slope.
We have x = -4. It's a vertical line. Therefore, the slope is undefined.
Please help I’m really stuck !!
The number in the parenthesis is the X value and they are looking for what the Y value is at that specific X.
So when you look at f(-2), find the Y value where the line crosses.
At X-2, the line crosses Y at -2
At X = 2, the line crosses at Y = 2
At X = 4, the line crosses at Y = 1
The answer is -2,2,1
The data set represents the number of miles Mary jogged each day for the past nine days
Answer:
0
Step-by-step explanation:
0 is the furthest away from the average.
The number 0 would be your outlier
point q is the midpoint on line segment pr. the coordinates of point P are (-5, -3) and the coordinates of point Q are (-2, -6)
What is the y coordinate of point R?
Answer:
The y coordinate of point R is [tex]-9[/tex]
Step-by-step explanation:
we know that
The formula to calculate the midpoint between two points is equal to
[tex]M(x,y)=(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]
In this problem
[tex]R(x2,y2)[/tex]
[tex]Q(-2,-6)=(\frac{-5+x2}{2},\frac{-3+y2}{2})[/tex]
so
[tex]-2=(-5+x2)/2[/tex] --->[tex]x2=-4+5=1[/tex]
[tex]-6=(-3+y2)/2[/tex] --->[tex]y2=-12+3=-9[/tex]
therefore
The y coordinate of point R is [tex]-9[/tex]
A commercial contractor needs to clear a plot of land for a new bank. Ryan can clear the lot in 7.5 hr. Ethan can do the same job in 10.5 hr. How long will it take them, working together, to clear the land ?
Answer:
[tex]4.4\ hours[/tex]
Step-by-step explanation:
we know that
using proportion
Ryan
Find how much can clear in one hour
[tex]\frac{100}{7.5}\frac{\%}{hours}=\frac{x}{1}\frac{\%}{hour}\\ \\x=100/7.5\\ \\x=13.33\%[/tex]
Ethan
Find how much can clear in one hour
[tex]\frac{100}{10.5}\frac{\%}{hours}=\frac{x}{1}\frac{\%}{hour}\\ \\x=100/10.5\\ \\x=9.52\%[/tex]
therefore
Ryan +Ethan in one hour can clear--------> [tex]13.33\%+9.52\%=22.85\%[/tex]
by proportion
[tex]\frac{100}{x}\frac{\%}{hours}=\frac{22.85}{1}\frac{\%}{hours}\\ \\x=100/22.85\\ \\x=4.4\ hours[/tex]
Assume that a DVD player loses 60% of its value every year it is a video store. Suppose the initial number of the DVD player was $80.
What multiplier would you use to calculate the DVD players new values
a.)0.4 is the multiplier
b.)$32 after 1 year, $2.048(or $2.05) after 4 years
c.)V(t) = 80(0.4)t
d.)10 years because it will be below 2 cents
e.) [The graph isn't hard, you just have to plug in the numbers into y=80(0.4)^x]
The multiplier we would use to calculate the DVD players is [tex]80(0.4)^x[/tex].
What is exponential decay and exponential rise ?We get exponential rise when the base of the variable exponent is greater than 1 and exponential decay when base is less than 1.
According to the given question a DVD player loses 60% of its value every year it is a video store.
Also given that the initial value of the DVD player was 80 dollars.
If every years it looses 60% of it's value means it retains it's 40% value and 40% in decimal or fraction can be written as 40/100 = 4/10 = 2/5 = 0.4.
Let us denote the numbers of years by x.
∴ To calculate DVD player value each year after year we'll use [tex]80(0.4)^x[/tex] and it will be an exponential decay as multiplies is less than 1.
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The directions are write and solve two step equations
Answer:
Sarah is 22
Step-by-step explanation:
64 times 4 =44
44 divided by 2= 22
What 1/4 plus 1/2 is
Answer:
the answer is 3/4
Step-by-step explanation:
Answer:
The correct answer is 3/4
Step-by-step explanation:
1/2+1/4=3/4
the volume V of a gas at a constant temperature varies inversely with the pressure P. when the volume is 100 cubic inches the pressure is 25 pounds per square inch. what is the pressure when the volume is 125 cubic inches
Answer:
The pressure is [tex]20\ psi[/tex]
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]
In this problem we have
[tex]V*P=k[/tex]
where
V is the volume of a gas at a constant temperature
P is the pressure
we have
For [tex]V=100\ in^{3}[/tex],[tex]P=25\ psi[/tex]
step 1
Find the value of k
substitute the values of V and P
[tex]100*25=k[/tex]
[tex]k=2,500[/tex]
The equation is equal to [tex]V*P=2,500[/tex]
step 2
Find the pressure when the volume is 125 cubic inches
For [tex]V=125\ in^{3}[/tex]
substitute in the equation and solve for P
[tex]125*P=2,500[/tex]
[tex]P=2,500/125=20\ psi[/tex]
You randomly draw a marble from a bag of marbles that contains 333 blue marbles, 444 green marbles, and 555 red marbles.
What is \text{P(draw a blue marble})P(draw a blue marble)P, left parenthesis, d, r, a, w, space, a, space, b, l, u, e, space, m, a, r, b, l, e, right parenthesis?
Answer:
1/4 or 0.25
Step-by-step explanation:
Isn't latex a devil?
You want to know the probability of a blue marble.
Formula
P(blue) = #Blue / # Total
Givens
#Blue = 333
#Total = 333 + 444 + 555 = 1332
Solution
P(blue) = 333 / 1332 Divide by 111
P(blue) = 3/12
P(blue) = 1/4 or 0.25
Answer:
1/4 or 0.25
Step-by-step explanation:
Find the roots of the polynomial equation.
Answer:
3 ± i5
Step-by-step explanation:
Here we're given four sets of possible roots of the given polynomial. Each set consists of two complex quantities and 1 real quantity.
First, we determine whether +4 is a root, then whether -4 is a root. Let's use synthetic division to do that:
-----------------------
4 / 1 -2 10 136
4 8 72
---------------------------
1 2 18 208 Since the remainder is not zero, 4 is not a root.
Eliminate the first two possible answer choices, and assume that -4 is a root.
Let's check this out to be certain:
-----------------------
-4 / 1 -2 10 136
-4 24 -136
---------------------------
1 -6 34 0
Since the rem. is zero, -4 is a root, and the coefficients of the 2nd-degree quotient are 1, -6 and 34.
In other words, a = 1, b = -6 and c = 34.
Let's apply the quadratic rule to find the roots:
6 ± √(36 - 4[1][34] ) 6 ± √ (-100)
x = ------------------------------ = ----------------------- = 3 ± i5
2 2
So the correct answer is the last one of the four given possible answers:
3 ± i5
Answer:
[tex]3+5i, 3-5i,-4[/tex]
Step-by-step explanation:
Given is a cubic equation in x as
[tex]x^3-2x^2+10x+136=0[/tex]
We know by remainder theorem if f(a) =0 then x=a is a root
Constant term = 136 has factors as 1,2,4,8, 17, 34
We find that f(a) not 0 for a =1,2.
[tex]f(1) = 144\\f(2) = 156\\f(-1) = 123\\f(-4) = -64-2(16)+10(-4)+136 = 0[/tex]
Hence [tex]x=-4[/tex] is one zero.
We can divide by x+4 to make it as a quadratic equation
[tex]x^3-2x^2+10x+136=(x+4)(x^2-6x+34)[/tex]
Now using quadratic formula we can find other roots
[tex]x^2-6x+34=0[/tex] has roots as
[tex]x=\frac{6+/-\sqrt{36-136} }{2} \\=3+5i, 3-5i[/tex]
Thus roots are
[tex]3+5i, 3-5i,-4[/tex]
Circle A has area 500 in2. The diameter of circle B is three times the diameter of circle A. Estimate the area of circle B.
Answer:
456.5
Step-by-step explanation:
The area of circle B is 4,500.81 inches².
The first step to take in order to determine the answer is to determine the value of the diameter of circle B.
Area of a circle = πr²
Where :
π = pi = 3.14
R = radius
500 = 3.14r²
r = √(500 / 3.14)
r = 12.62 inches
Diameter = 2 x radius
2 x 12.62 = 25.24 inches
The second step is to determine the diameter of circle B.
Dimeter of circle B = 3 x 25.24 inches = 75.72 inches
Radius of circle B = 75.72 inches / 2 = 37.86 inches
Determine tie area of circle B
Area of circle B = 3.14 x 37.86² = 4,500.81 inches²
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Help me answer this question:/
Answer: [tex](f\°g)(0)=3[/tex]
Step-by-step explanation:
- For the function g(x) you must find the value of y (output value) when [tex]x=0[/tex]. As you can see in the graph (observe the parabola), when [tex]x=0[/tex] (input value), then:
[tex]y=2[/tex] or [tex]g(0)=2[/tex]
- Now, 2 will be the input value of the function f(x). Then, you must find the value of y (output value) when [tex]x=2[/tex]. As you can see in the graph of this function, when [tex]x=2[/tex], then:
[tex]y=3[/tex] or [tex]f(2)=3[/tex]
Therefore, you can conclude that:
[tex](f\°g)(0)=3[/tex]
Simplify: 3^2 * 3^4
3^2 = 9
3^4= 81
9 x 81 = 729
Your answer is 729 . Good luck (:
What is the length of the unknown leg in the right triangle?
answers on second image.
The correct answer is 8 yd
So far John has run 1/4 of the way to school and walked 3/8 of the way what fraction of the distance to school does John have left?
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫
➷ We know that the total amount of distance he has to go is 8/8.
Add 3/8 and 1/8.
3/8+1/8=4/8. He went half of the way already.
Since he needs 8/8 and he already went 4/8, he has 4/8 left, or 1/2 left to go.
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
DOGE
Paul sketches a right triangle with legs of lengths a and b and a hypotenuse of length h. He writes an equation that relates a, b, and h, and then solves it for h. Which of the following is the solution
for h that Paul writes?
Answer:
D.
Step-by-step explanation:
The pythagorean theorem says that a²+b²=h², therefore h = [tex]\sqrt{a^{2} +b^{2} }[/tex].
Based on Pythagorean theorem, the best solution for h that Paul writes is [tex]h=\sqrt{a^2 + b^2}[/tex]
What is Pythagorean Theorem?Pythagorean theorem can be defined as a fundamental mathematical expression in Euclidean geometry that can be used to determine any of the three (3) sides of a right-angled triangle.
Mathematically, Pythagorean's Theorem is given by this formula:
[tex]h^2 = a^2 + b^2[/tex]
Where:
h is the hypotenuse.a is the adjacent side.b is the opposite side.Simplifying further, we have:
[tex]h^2 = a^2 + b^2\\\\h=\sqrt{a^2 + b^2}[/tex]
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Circus and animal trainers rely on conditioning to train animals to perform tricks. How does this conditioning work?
Question 5 options:
The trainer uses a stimulus, paired with a reward to get the response they want.
The animals inherit these amazing abilities from their parents.
The trainers can imprint certain behaviors on very young animal.
The animals are punished for their natural behaviors.
Answer: the trainer uses a stimulus, paired with a reward to ge the response they want.
Step-by-step explanation:
Plz help!!!!!!!!!!!!
Answer: [tex]\bold{x^{\frac{1}{3}}}[/tex]
Step-by-step explanation:
[tex]\sqrt[6]{x^2} =x^{\frac{2}{6}}=x^{\frac{1}{3}}[/tex]
The price of an item is $21.75. You give the cashier a $20 and a $10 bill. What is the change?
Answer:
$8.25
Step-by-step explanation:
We first need to find the amount of money we give the cashier
20+10 = 30
We give the cashier 30 dollars
Our bill was 21.75
30.00
-21.75
---------------
We need to borrow
2 10.00
-2 1 .75
---------------
We need to borrow
2 9. 10 0
-2 1 .7 5
---------------
We need to borrow
2 9. 9 10
-2 1 .7 5
---------------
8 .2 5
We will get $8.25 back from the cashier
Answer:
Step-by-step explanation:
I gave total $20+$10= $30
$30-$21.75= $8.25
Use the quadratic formula to solve Round irrational solutions to the nearest tenth
Answer:
C. x = -5.6 and x = -1.4
Step-by-step explanation:
The quadratic formula is [tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}[/tex]. Here a=1, b=7, and c=8.
Substitute and you'll have:
[tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a} =\frac{-7+/-\sqrt{7^2-4(1)(8)} }{2(1)}=\frac{-7+/-\sqrt{49-32} }{2)}[/tex]
[tex]\frac{-7+/-\sqrt{17} }{2}=\frac{-7+/-4.1 }{2}= -1.4, -5.6[/tex]
What's the volume of a pipe at a port that is 4 feet in diameter 24 ft long
A. 603.1872
B. 150.7968
C. 314.1632
D. 301.5936
answer: D
explanation:
volume is equal to length * surface area.
surface of a tube base is a circle, so it' surface are can be calculated as:
[tex]\pi \: {r}^{2} [/tex]
where r is a radius
[tex] r \: = \frac{1}{2} diameter[/tex]
so you calculate volume V as:
[tex]v \: = \pi( {r}^{2} ) \times length \: = \pi \times \frac{1}{4} \times {diameter}^{2} \times length[/tex]
[tex]v = 3.14 \times \frac{1}{4} \times 4 \times 4 \times 24 = 301.44[/tex]
so the answer is D
Please help and thank you
Answer:
D
Step-by-step explanation:
The Answer is D, first you would multiply A by 2, then divide it by h. You would then subtract b2 giving you D.
The correct option is D
Step-by-step explanation:See the image
Evaluate the expression 5 to the second power (72-45) divided by 5
Answer:
Step-by-step explanation:
5^2(72-45)/5
25(27)/5
675/5
135
Final answer:
The evaluated expression of 5 to the second power (72 - 45) divided by 5 is 135. This is found by subtracting inside the parentheses, squaring the number 5, multiplying these results, and finally dividing by 5.
Explanation:
Evaluating the Expression
To evaluate the expression 5 to the second power (72 - 45) divided by 5, we follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). First, we calculate the value within the parentheses:
72 - 45 = 27
Next, we raise 5 to the second power (also known as squaring a number):
52 = 5 × 5 = 25
Now, we multiply this result by the value we found within the parentheses:
25 × 27 = 675
Last, we divide by 5:
675 ÷ 5 = 135
Therefore, the evaluated expression is 135.
can somebody please help me find the volume of this triangular prism?
Check the picture below.
the volume of the prism will simply be the product of the triangular area and its length, it has a length of 8, thus
[tex]\bf \stackrel{\textit{area of a triangle}}{A=\cfrac{1}{2}bh}~~ \begin{cases} b=9\\ h=6 \end{cases}\implies A=\cfrac{1}{2}(9)(6)\implies A=27 \\\\\\ \stackrel{\textit{volume of the triangular prism}}{V=27\cdot 8}\implies V=216[/tex]