Need help on this stastic prob question
-8(2z - 70)
use z = 5 and c = 2
Answer:
480
Step-by-step explanation:
So we have the expression:
[tex]-8(2z-70)[/tex]
And we want to evaluate it for z=5 and c=2:
So:
[tex]=-8(2(5)-70)[/tex]
Multiply within the parentheses:
[tex]=-8(10-70)[/tex]
Subtract within the parentheses:
[tex]=-8(-60)[/tex]
Multiply:
[tex]=480[/tex]
Answer:
480
Step-by-step explanation:
-8( 2(5) - 70)
-8 ( 10 - 70)
-80 + 560
480
What is the area of a rectangle that is \dfrac1{2} 2 1 start fraction, 1, divided by, 2, end fraction of a meter long and \dfrac38 8 3 start fraction, 3, divided by, 8, end fraction of a meter wide?
Answer:
[tex]Area = \frac{3}{16} m^2[/tex]
Step-by-step explanation:
Given
Shape: Rectangle
[tex]Length = \frac{1}{2}\ m[/tex]
[tex]Width = \frac{3}{8}\ m[/tex]
Required
Determine the area of the rectangle;
Area is calculated as thus;
[tex]Area = Length * Width[/tex]
Substitute values for Length and Width
[tex]Area = \frac{1}{2} * \frac{3}{8}[/tex]
[tex]Area = \frac{1 * 3}{2 * 8}[/tex]
[tex]Area = \frac{3}{16}[/tex]
Hence, the area of the rectangle is [tex]\frac{3}{16}m^2[/tex]
Which of the following items is the most likely to have a weight of 5 ounces?
ant
apple
cat
chair
Answer:
apple
Step-by-step explanation:
I did it before
Which of these numbers is composite? (Choice A) A 29 (Choice B) B 41 (Choice C) C 71 (Choice D) D 79 (Choice E) E 99
Answer: E. 99
Step-by-step explanation:
A composite number has more than two factors which means not only including 1 and itself, but at least one other.
factor of 29: 1, 29
factor of 41: 1, 41
factor of 71: 1, 71
factor of 79: 1, 79
factor of 99: 1, 3, 9, 11, 33, 99
Clearly 99 has more than two factors.
Hope this helps!! :)
Please let me know if you have any questions
Rachael bought a snorkel and ear plugs for shallow diving. The snorkel cost \$27.69 , and the ear plugs cost \$2.19 . The sales tax of both items was Rachael paid with 2 twenty-dollar bills. How much change did she receive?
Answer:
The answer is 10.12
Step-by-step explanation:
You add both numbers together and then subtract the sum to the 40 dollars
Help me plz
9.7 +-7.3=?
Answer:
2.4
Step-by-step explanation:
Answer:
2.4
Step-by-step explanation:
Since 7.3 is negative then 9.7+-7.3 is equal
9.7 - 7.3=2.4
please help me once more! I only need the answer to D. The value of x is 10.
k - 4.8=0.32 - 5.4k answer?
Answer:
k =4/5
Step-by-step explanation:
[tex]k - 4.8=0.32 - 5.4k\\\mathrm{Multiply\:both\:sides\:by\:}100\\k\times\:100-4.8\times\:100=0.32\times\:100-5.4k\times\:100\\\\Refine\\100k-480=32-540k\\\\Add\: 480\mathrm{\:to\:both\:sides}\\100k-480+480=32-540k+480\\\\Simplify\\100k=-540k+512\\\\\mathrm{Add\:}540k\mathrm{\:to\:both\:sides}\\100k+540k=-540k+512+540k\\\\Simplify\\640k=512\\\\\mathrm{Divide\:both\:sides\:by\:}640\\\frac{640k}{640}=\frac{512}{640}\\\\k=\frac{4}{5}[/tex]
[tex]\int\limits^e_1 {\frac{1}{x\sqrt{1-(logx)^{2} } } } \, dx[/tex]
For the integral
[tex]I=\displaystyle\int_1^3\frac{\mathrm dx}{x\sqrt{1-(\log x)^2}}[/tex]
(assuming [tex]\log x[/tex] is the natural logarithm with base [tex]e[/tex]) substitute [tex]u=\log x[/tex] and [tex]\mathrm du=\frac{\mathrm dx}x[/tex]. Then the integral is equivalent to
[tex]I=\displaystyle\int_{\log1}^{\log e}\frac{\mathrm du}{\sqrt{1-u^2}}=\int_0^1\frac{\mathrm du}{\sqrt{1-u^2}}[/tex]
Next, substitute [tex]u=\sin t[/tex] and [tex]\mathrm du=\cos t\,\mathrm dt[/tex]:
[tex]I=\displaystyle\int_{\sin^{-1}0}^{\sin^{-1}1}\frac{\cos t}{\sqrt{1-\sin^2t}}\,\mathrm dt=\int_0^{\frac\pi2}\frac{\cos t}{\sqrt{\cos^2t}}\,\mathrm dt[/tex]
We have [tex]\sqrt{x^2}=|x|[/tex] for all [tex]x[/tex], but in the given integration interval, [tex]\cos t\ge0[/tex], so
[tex]I=\displaystyle\int_0^{\frac\pi2}\frac{\cos t}{\cos t}\,\mathrm dt=\int_0^{\frac\pi2}\mathrm dt=\boxed{\dfrac\pi2}[/tex]
(Of course, with a little foresight, you could have immediately combined the two substitutions and started off with letting [tex]\sin u=\log x[/tex].)
90+ POINTS PLEASE HELP Choose one problem below and use trigonometry to solve for a missing angle x of the right triangle
Answer:
[tex]x\approx49.3266\textdegree[/tex]
Step-by-step explanation:
So we want to find Angle x.
Note that we already know the side length of the side opposite to Angle x.
We also know that the hypotenuse is 56.3.
Therefore, we can use the sine function. Recall that:
[tex]\sin(x)=\frac{\text{opposite}}{\text{hypotenuse}}[/tex]
The opposite side is 42.7. The hypotenuse is 56.3. Substitute:
[tex]\sin(x)=\frac{42.7}{56.3}[/tex]
Take the inverse sine of both sides.
[tex]\sin^{-1}(\sin(x))=\sin^{-1}(\frac{42.7}{56.3})[/tex]
The left side cancels:
[tex]x=\sin^{-1}(\frac{42.7}{56.3})[/tex]
Use a calculator. Thus:
[tex]x\approx49.3266\textdegree[/tex]
And that's our answer :)
Answer:
[tex]\Huge \boxed{\mathrm{49.33 \° }}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
The triangle is a right triangle.
We can use trig functions to solve for the missing angle.
[tex]\displaystyle \mathrm{sin \theta =\frac{opposite}{hypotenuse} }[/tex]
The opposite side to angle x is 42.7.
The hypotenuse of the right triangle is 56.3.
[tex]\displaystyle \mathrm{sin} (x)=\frac{42.7}{56.3}[/tex]
Taking inverse sin of both sides.
[tex]\displaystyle x=\mathrm{sin^{-1}}( \frac{42.7}{56.3})[/tex]
[tex]x= 49.3265955[/tex]
The missing angle measures approximately 49.33°.
[tex]\rule[225]{225}{2}[/tex]
Which expression is equivalent to -2 1/4 divided by -2/3
Answer:
27/8 or 3 3/8, 3.375, (3/2)^3
Step-by-step explanation:
convert the mixed number to an improper fraction-9/4 divided by -2/3
dividing two negatives equals a positive; (-) + (-) = (+)9/4 divided by 2/3
to divide by a fraction, multiply by the reciprocal of the fraction( flip, keep, change )9/2 x 3/2
Evaluate each expression if a = -1, b = -8, c = 5, and d = -1.4.
1. |6a|
2. |2b + 4|
3. -|10d +12|
4. |17c| + |3b-5|
Answer:
2
Step-by-step explanation:
An appliance company uses the function f(h) = 40h + 120 to calculate the total repair bill, f(h), for h number of hours worked. Find h if f(h) = $200.
Answer:
fh. = 40h + 120, fh. = $200
200 = 40h + 120
200 - 120 = 40h
80 = 40h
80/40 = h
2 = h
h = 2 hours.
Step-by-step explanation:
please answer. will give brainliest
Answer:
2
Step-by-step explanation:
thats the answer pls give brainliest.
Answer: OPTION B
Step-by-step explanation:
Angle 25° is in the interior of two lines so we are actually finding the alternative interior angles.
Alternate angles are angles that on opposite sides that locate on opposite relative sides of the other lines.
The only three labeled angle that are interior. Angle 25°, Angle 2, and Angle 3.
Angle 25° and Angle 3 are on opposite sides, but they are on the same relative side of the other lines, which does not fit the alternate angle definition.
Angle 25° and Angle 2 are on opposite sides and on the opposite relative side of the other lines, so Angle 2 is the alternate to Angle 25°
Hope this helps!! :)
Please let me know if you have any question
i need help with this whole page
Answer:
Step-by-step explanation:
Hot dogs are sold in packages of 8, and hot dog buns are sold in packages of 12. What is the smallest number of each that could be purchased so that the customer has the same number of hot dogs and buns? And i'm doing a lesson in school, so i need help with this and what is the answer to it in LCM?
During the summer, you charge people $8 per hour for babysitting and a $10 fee for traveling to their home. If you made $130 last weekend, how many hours did you spend babysitting?
Answer:
15
Step-by-step explanation:
lets make an equation and solve it (its easier)
130=8x+10
130-10=8x
120=8x
x=120/8=15 hours
A delivery truck company just bought a new delivery truck and they need to know the maximum volume it can carry. In the front of the truck, there is an extra ledge that sticks out over the driver's cab for extra storage space. What is the maximum amount of cargo that can fit into the new truck?
The image showing the dimensions of the truck in question is missing, so i have attached it.
Answer:
Max amount of cargo that can fit in new truck = 756.39 cu.ft
Step-by-step explanation:
From the diagram attached, we can see that the delivery truck is in the form of a cuboid.
So let's say we extend the perpendicular line from the start of the extra ledge that sticks out to the top of the truck.
This will mean that we have now divided the big truck into 2 different cuboids which we will call C1 and C2.
For C2, We can see that the height is 6' 6", width is 7' 8", length is 14' 3".
Converting the dimensions to inches, we know that, 1 ft = 12 inches
Thus;
6' 6" = (6 × 12) + 6 = 78"
7' 8" = (7 × 12) + 6 = 90"
14' 3" = (14 × 12) + 6 = 174"
Thus, volume of cuboid = Length x width x height
Thus, volume of cuboid 1 is;
V1 = 78 × 90 × 174 = 1221480 cu.inches
Looking at the smaller cuboid C1, the height is 2' 7" and the width remains 7' 8".
To get the length, we have; length = 16' 9" - 14' 3" = 2' 6"
So Converting these to inches gives;
7' 8" = (7 × 12) + 8 = 92"
2' 7" = (2 × 12) + 7 = 31"
2' 6" = (2 × 12) + 6 = 30"
Volume of cuboid 2 is;
V2 = 92 × 31 × 30 = 85560 cu.inches
Total volume = V1 + V2 = 1221480 + 85560 = 1307040 cu.inches
Now, converting cu.inches to cu.ft, we know that;
1 cu.inches = 1/1728 cu.ft
Thus;
1307040 cu.inches = 1307040 × 1/1728 = 756.39 cu.ft
Pls answer this is due by tomorrow so I need help ASAP
5/6 = 0.83333... (Repeating)
2/11 = 0.181818... (Repeating)
17/20 = 0.85 (Terminating)
For the number system diagram, from smallest box to larges, it would be natural numbers, whole numbers, and integers, rational numbers, then real numbers. And irrational numbers off to the side, but considering you only have 3 boxes then put the first 3 I mentioned.
It is definetly possible for a number to be both whole and an integer. As long as it's not a fraction, decimal, or negative value.
What is the area of a rectangle that is 3.1 cm wide and 4.4 cm long? Write the full-precision answer first to see the corresponding feedback before entering the properly-rounded answer.
Answer:
Step-by-step explanation:
The area of a rectangle is expressed as A = Length * Width
Given the length of the rectangle = 4.4 cm
Width of the rectangle = 3.1 cm
Area of the triangle = 4.4 cm * 3.1 cm
Area of the triangle =13.64cm²
The full precision answer is 13.64cm²
Rounding the value up to the nearest cm² will give 14cm². Note that the value is rounded up to 14cm² because the first value (6) after the decimal point is greater than 4, hence 13 will be approximated to 14.
how to solve 10×1000/100
Please explain step by step
Answer:
first divide 1000 by 100 and then multipy the result with 10
Step-by-step explanation:
If it takes Tanya 4.6 hours to get to her cousin's house while driving an average of 40 mph, how far away does her cousin live?
Solve for y. 6y=y+25
Answer:
6y =y+25
6y-y=25
5y=25
y=25/5
y=5
hope that helps: )
Answer:
y = 5
Step-by-step explanation:
[tex]6y=y+25[/tex]
Subtract y from both sides ;
[tex]6y-y=y+25-y[/tex]
Simplify ;
6y - y = 5y
y -y =0
[tex]5y=25[/tex]
Divide both sides by 5
[tex]\frac{5y}{5}=\frac{25}{5}[/tex]
Simplify
[tex]y =5[/tex]
Help me please I’ll give you brainliest
Answer:
i think the answer is a
Step-by-step explanation:
Solve the equation -7x - 9 = 19 x =?
Answer:-4
Step-by-step explanation:
-4 x -7 = 28
28-9=19
Answer:
x=-4
Step-by-step explanation:
We are given the equation:
-7x-9= 19
We want to solve for x. Therefore, we must isolate x on one side of the equation.
9 is being subtracted. The inverse of subtraction is addition. Add 9 to both sides of the equation.
-7x-9+9= 19+9
-7x= 28
x is being multiplied by -7. The inverse of multiplication is division. Divide -7 on both sides.
-7x/-7=28/-7
x= 28/-7
x= -4
Let’s check our solution. Plug -4 in for x and solve.
-7x-9=19
-7(-4)-9=19
28-9=19
19=19
This checks out, so we know our solution is correct.
The solution to the equation -7x-9=19 is x= -4
A restaurant has 2 flavors of ice cream, 4 types of sauce and 7
toppings.
A student chooses one topping and one type of sauce. How many
different desserts could she make?
Answer:
8 differnt types of desserts
Step-by-step explanation:
4 each ice cream
The student council needs posters for the Winter Carnival. The print shop charges $15 for each print job. Each poster will cost an additional
$1.35.
Full Question:
The student council needs posters for the Winter Carnival. The print shop charges $15 for each print job. Each poster will cost an additional $1.35.
Which equation shows the relationship between the number of posters, n, and the total cost, c, in dollars?
Answer:
[tex]C = 15 + 1.35n[/tex]
Step-by-step explanation:
Given
[tex]Base\ Charge = \$15[/tex]
[tex]Cost\ per\ print = \$1.35[/tex]
Required
Determine an equation to calculate the total cost
First, we need to determine the cost of n posters;
If 1 poster costs $1.35, then
[tex]n\ posters = n * 1.35[/tex]
[tex]n\ posters = 1.35n[/tex]
Next, add the cost of n posters to the base charge. This gives total cost (C)
[tex]C = Base\ Charge + n\ posters[/tex]
[tex]C = 15 + 1.35n[/tex]
Answer:
I Did The Test And The Correct Answer is that c will equal to 1.35n + 15
It Is 1.35n + 15
Peter has 100 dollars. His mom gives him x dollars more. Write an expression to represent how much money he now has.
Answer:
100 + x
Step-by-step explanation:
If Peter has an initial 100$, and his mom gives him an additional x$, then we can simply write the total amount in an expression using addition as such:
100 + x
So Peter now has 100 + x amount of dollars.
Cheers.
Answer:
[tex]\huge\boxed{\$(x+100)}[/tex]
Step-by-step explanation:
Peter has = $100
He has been given = $x more.
So, the expression becomes
=> $(100+x)
OR
=> $(x+100)
Can someone please help me ?!
Answer:
sjjxdhbddgcKHCaydkfuksjkgd
Step-by-step explanation:
k,huglzxukugdldlitgjgkdkhf