if x =7 then plug in 7 for x
4(7) - 2((7)+a) = 8
28 - 14 -2a = 8
14 - 2a = 8
-2a = -6
a = 3
Answer:
Step-by-step explanation:
Given: f(x) = 2x + 5 and g(x) = x2 and h(x) = -2x h(g(f(x))) = x² + x +
Answer:
[tex]\Large \boxed{h(g(f(x)))=-8x^2-40x-50}[/tex]
Step-by-step explanation:
[tex]f(x)=2x+5 \\\\ g(x)=x^2 \\\\h(x)=-2x[/tex]
[tex]h(g(f(x)))=-2((2x+5)^2)[/tex]
Expanding and solving for brackets.
[tex]h(g(f(x)))=-2(4x^2+20x+25)[/tex]
Distributing -2 to the terms in the brackets.
[tex]h(g(f(x)))=-8x^2-40x-50[/tex]
Answer:
-8x^2 - 40x - 50
Step-by-step explanation:
f(x) = 2x + 5
g(x) = x^2
h(x) = -2x
h(g(f(x))) =
First find g(f(x))
g(f(x)) = (2x+5) ^2 = 4x^2 + 10x + 10x +25
= 4x^2 + 20x + 25
The stick this in for g(f(x)
h(g(f(x))) = -2 (4x^2 + 20x + 25)
= -8x^2 - 40x - 50
The density of a certain material is such that it weighs 6 pounds per pint of volume. Express this density in grams per liter. Round your answer to the nearest whole number.
Answer:
Density = 4779 grams per liter
Step-by-step explanation:
here we need to convert
pounds to gram
pint to liter
1 pound = 454 grams
1 pint = 0.57 liters
given
density = 6 pounds per pint
now using grams in place of pound and
liter in place of pint we have
density = 6 pounds per pint = 6*454 grams /0.57 liters
density = 2724 pounds/ 0.57 liters = 4778.94 grams / liters
Density when rounded to nearest whole number is 4779 grams / liters
x
B.
A
с
D
which points are coplanar and noncollinear ?
Answer:
step by step
Step-by-step explanation:
I dont understand ?? try to re write it
Find the area of the base B of the solid.
7 in
Volume= 84 π in. 2
Answer:
12
Step-by-step explanation:
v=[tex]\pi[/tex]r²h
84[tex]\pi[/tex]=
84[tex]\pi[/tex]÷7
12=r²
area of a circle is [tex]\pi[/tex]r²
so B is 12[tex]\pi[/tex]in²
The area of the base of the cylinder in the image given will be 12pi in.
How to Find the Base Area of a Cylinder?The formula for the volume of a cylinder = πr²h, where:
Base area of the cylinder (B) = πr²
(r is the radius)
The Height of the cylinder = h
The given cylinder has the following,
Height of cylinder (h) = 7 in.
Volume of cylinder = 84pi in.³
Then Substitute into the volume formula:
(πr²)7 = 84pi
(B)7 = 84pi (B = area of the base)
Divide both sides by 7;
(πr²)7/7 = 84pi /7
B = 12pi
Therefore, the area of the base of the cylinder in the image given will be 12pi in.
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Find the product and simplify your answer.
-9x2(-3x5 + 5x - 5)
W
Answer:
In simplest/simplified form and in descending order, your answer would be -18x^3 + 45x^2. Hope this helps!
Step-by-step explanation:
Solve the literal equation for the given variable
n =4/5(m+7); m
Answer:
[tex]m = \frac{5n}{4} - 7[/tex]Step-by-step explanation:
[tex]n = \frac{4}{5} (m + 7)[/tex]First of all multiply both sides by 5
That's
[tex]5n = 5 \times \frac{4}{5} (m + 7) \\ 5n = 4(m + 7)[/tex]Next divide both sides by 4
That's
[tex]m + 7 = \frac{5n}{4} [/tex]
Subtract 7 from both sides to make m stand alone
We have
[tex]m + 7 - 7 = \frac{5n}{4} - 7[/tex]We have the final answer as
[tex]m = \frac{5n}{4} - 7[/tex]Hope this helps you
[tex] \sqrt{225} + \sqrt{169} [/tex]
Find:
Answer:
28
Step-by-step explanation:
√225 + √169
√225 = 15
√169 = 13
15 + 13 = 28
The answer is 28
please help me once more! I only need the answer to D. The value of x is 10.
In an average month, Jaden sends 200 texts and talks for 100 minutes. Give the cost for plan A and for plan B. Then tell which plan will cost Jaden the least amount of
money.
Plan A
Jaden has a prepaid phone plan (Plan A) that charges 15 cents for each text sent and 10 cents per minute for calls.
Plan B
Jaden discovers another prepaid phone plan (Plan B) that charges a flat fee of $15 per month, then $.05 per text sent or minute used.
Answer:
Plan B
Step-by-step explanation:
Let's calculate the amount required for each plan
Plan A0.15*200 + 0.10*100 = $40Plan B15 + 200*0.05 + 100*0.05 = $30As we see Plan B costs less
The measure of 2A is 18° greater than the measure of 2B. The two angles are complementary. Find
the measure of each angle.
The MzA is
and mzB is
lo
Answer:
2A=54°
2B=36°
Step-by-step explanation:
2A=x+18
2B=x
x+x+18=90
2x=90=18
2x=72
x=36
2A=x+18=36+18=54
2B=x=36
Can someone please help mee :)
Solve each equation below.
у
a.) 5% + 8 = 53 b.)-bw-12=51 c.) + 12 = -2
Joey's lunch at a restaurant cost $13.00, without tax. He leaves the waiter a tip of 17% of the cost of the lunch, without tax. What is the total cost of the lunch, including the tip, without tax?
Need help on this stastic prob question
q1: How can you rewrite -8 -− 10 as an additional problem? q2: Find the difference: -11 -− 5
Answer:
1. 2
2. -6
Step-by-step explanation:
I guess you tried to write -8-(-10) in the first question. Minus sign cancels out minus sign to give addition sign. So that is -8+10 which is 2.
The second question the sam thing applies -11-(-5) which is -11+5 which is -6
URGENT!! 25 points. help on C please. this assignment is already late
Answer:
[tex]7+(11-4\times 2)=10[/tex]
Step-by-step explanation:
So, this question involves you to play around with the numbers and the operations a bit. I've come up with a solution, but perhaps there are others as well.
So, we have:
[tex]7\text{ } 11\text{ } 4\text{ } 2\text{ } =\text{ } 10[/tex]
So, what we can do is, for instance, multiply 4 and 2. Subtract that into 11. And then add the difference to 7. Thus:
[tex]7+(11-4\times 2)=10[/tex]
This is a true number sentence. Let's do it to make sure.
First, do the operations inside the parentheses.
Multiplication comes first, so multiply:
[tex]7+(11-8)=10[/tex]
Again, do the parentheses first. Subtract:
[tex]7+(3)=10[/tex]
Now add:
[tex]10=10[/tex]
So our answer is correct :)
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
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?
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
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
Given:
p: student achieves 90 percent on the geometry final.
q: student will receive a passing grade in geometry class.
Which statement is logically equivalent to q - p?
O If a student achieves 90 percent on the geometry final, then the student will pass geometry class.
O If a student passes geometry class, then the student achieved 90 percent on the geometry final.
O If a student did not achieve 90 percent on the geometry final, then the student did not pass geometry class.
O If a student did not pass geometry class, then the student did not achieve 90 percent on the geometry final.
Answer:the answer is c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Robot 1 is at Asteroid U. Calculate the distance between U (38,22) and W (55,30) to the nearest thousandths, then add a driveDistance block to drive the robot to Asteroid W.
Answer:
When we have two vectors:
A = (a1, a2)
B = (b1, b2)
The distance between these two vectors is:
D = √( (a1 - b1)^2 + (a2 - b2)^2)
In this case, the vectors are:
U = (38, 22) and W = (55, 30)
The distance between U and W is:
D = √( (38 - 55)^2 + (22 - 30)^2 )
D = √( 289 + 64) = √353 = 18.7882
We want to round it to the nearest thousandths (the third digit to the right of the decimal point).
Then we must look at the next one (the fourth)
if the fourth digit is 5 or smaller, we round down
if the fourth digit is larger than 5, we round up.
We can see that in 18.7882 the fourth digit after the decimal point is a 2, so we round down, then the distance between U and W is:
D = 18.788
Now i guess that you want a line that connects U with W so the robot can follow it,
To find the line you can use a linear relation:
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
So we want a line that passes through the points U and W, the slope of this line will be:
a = (30 - 22)/(55 - 38) = 0.47
Then the equation is:
y = 0.47*x + b
to find the value of b, we know that this line passes through the point (38,22) then:
y = 22 = 0.47*38 + b
b = 22 - 0.37*38 = 7.94
The line that can use the robot to go from U to W is:
y = 0.47*x + 7.94
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:
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
In the past year Pablo watched 76 movies that he thought were very good he watched 80 movies over the whole year of the movies he watched what percentage did he rate as very good
Answer:
95%
Step-by-step explanation:
We convert 80 into ten or 100. In this case, we should use 10.
76/80 = 9.5/10
Then we set the denominator as 100. (because percentages have a denominator as 100)
95/100
Then it's 95%. Hope this helps.
solve for x : 3 ( x + 1 ) = 2 ( x - 1 )
Answer:
-5
3 ( -5 + 1 ) = 2 ( -5 - 1 ) = 0
They both equal negative 12
Margaret used 12 gallons of gas to drive 252 miles. How many miles can
Margaret drive with 16 gallons of gas?
(7,-5) and (2,3)
Find the slope of the two given points
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]
what is the square root of 169/196
Answer:
sqrt 169 is 13
sqrt 196 is 14
Step-by-step explanation:
The square root of the number in the fractional form [tex]\frac{169}{196}[/tex] is the number in fractional form [tex]\frac{13}{14}[/tex].
Given a number:
[tex]\frac{169}{196}[/tex]
It is required to find the square root of the number.
The square root of the fraction can be found by taking the square root of each component and dividing it.
That is:
[tex]\sqrt{\frac{x}{y} } =\frac{\sqrt{x} }{\sqrt{y} }[/tex]
Here, x = 169 and y = 196.
So, this can be written as:
[tex]\sqrt{\frac{169}{196} } =\frac{\sqrt{169} }{\sqrt{196} }[/tex]
[tex]=\frac{13}{14}[/tex]
Hence, the fraction is [tex]\frac{13}{14}[/tex].
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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.