Answers
Related Questions
Find the length of x.
Answers
Answer:
5
Step-by-step explanation:
6/4 = 7.5/x
7.5/1.5=5
Find the product.
10(-7)
Answers
Answer:
-70
Step-by-step explanation:
If a number is right by a parathesis () then you multiply the number inside the parathesis by the number next to them.
15 pints because 2 questions
Answers
Answer:
1.its B
2.G
Step-by-step explanation:
The ratio of boys to girls in a group is 3:1. If there are 52 more boys than girls, work out how
many people there are in total.
Answers
Answer:
104
Step-by-step explanation:
The ratio of boys : girls = 3 : 1 = 3x : x ( x is a multiplier )
There are 52 more boys than girls , so
3x = x + 52 ( subtract x from both sides )
2x = 52 ( divide both sides by 2 )
x = 26, then
3x = 3 × 26 = 78 ← number of boys
Total number = 78 + 26 = 104
Use the limit definition of the derivative to find the slope of the tangent line to the curve
f(x)= 7x^2 + 7x + 3 at x= 4
Answers
Answer:
[tex]\displaystyle f'(4) = 63[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Expand by FOIL (First Outside Inside Last)FactoringFunction NotationTerms/CoefficientsCalculus
Derivatives
The definition of a derivative is the slope of the tangent line.
Limit Definition of a Derivative: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]
Step-by-step explanation:
Step 1: Define
f(x) = 7x² + 7x + 3
Slope of tangent line at x = 4
Step 2: Differentiate
Substitute in function [Limit Definition of a Derivative]: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{[7(x + h)^2 + 7(x + h) + 3]-(7x^2 + 7x + 3)}{h}[/tex][Limit - Fraction] Expand [FOIL]: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{[7(x^2 + 2xh + h^2) + 7(x + h) + 3]-(7x^2 + 7x + 3)}{h}[/tex][Limit - Fraction] Distribute: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{[7x^2 + 14xh + 7h^2 + 7x + 7h + 3] - 7x^2 - 7x - 3}{h}[/tex][Limit - Fraction] Combine like terms (x²): [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7x + 7h + 3 - 7x - 3}{h}[/tex][Limit - Fraction] Combine like terms (x): [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7h + 3 - 3}{h}[/tex][Limit - Fraction] Combine like terms: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7h}{h}[/tex][Limit - Fraction] Factor: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{h(14x + 7h + 7)}{h}[/tex][Limit - Fraction] Simplify: [tex]\displaystyle f'(x)= \lim_{h \to 0} 14x + 7h + 7[/tex][Limit] Evaluate: [tex]\displaystyle f'(x) = 14x + 7[/tex]Step 3: Find Slope
Substitute in x: [tex]\displaystyle f'(4) = 14(4) + 7[/tex]Multiply: [tex]\displaystyle f'(4) = 56 + 7[/tex]Add: [tex]\displaystyle f'(4) = 63[/tex]This means that the slope of the tangent line at x = 4 is equal to 63.
Hope this helps!
Topic: Calculus AB/1
Unit: Chapter 2 - Definition of a Derivative
(College Calculus 10e)
expand and simplify (X+7) (x-2)
Urgent please my teacher threatened me with an axe
Answers
Answer:
x²+5x-14
Step-by-step explanation:
expand out the brackets:
x²-2x+7x-14
simplify:
x²+5x-14
Kim spent $44 on eating utensils. Spoons cost $4 and forks cost $6. If she bought a total of 9 utensils then how many of each kind did she buy?
Answers
Answer:
3 spoons and 6 forks
Step-by-step explanation:
9 = x + y; x= 9-y
44 = 4x + 6y
44 = 4(9-y) + 6y
44 = 36 - 4y +6y
44 = 36 +2y
2y = 44-36 = 12
y = 12/2 =6
x= 9-y = 9-6 =3
Explanation: 4 x 4= 16 + 6 x 4 = 24 + 4 = $44 or 4 x 5 = 20
The sales tax in your city is 8.8 and an item costs $63 before tax.
How much tax would you pay on that item?
Round to the nearest hundredth or cent.
Answers
this represents the tax
if you round it, it would be $3.17
A car salesman receives 3% commission on his total weekly sales. Last week his total sales were £28500
How much commission does he earn?
Answers
The diameter of a circl
10. d = 6.7 in.
Answers
Can somebody pls help me out wit dis
Answers
Answer:
i can't see it
Step-by-step explanation:
Answer:
a. x is equal to the number of sweat shirts made
b. $1100 is I think the base cost it takes to produce shirts
c. x=30
d. $5845
hope I helped.
Step-by-step explanation:
a. context
b. if x=the number of sweat shirts made then 65×x means that it costs $65 to produce one shirt and in that case to make any shirts it would cost $1100 to get the process set up so that they can make the shirts.
c. if c(x)=3050 then that means that that is the total cost to make all the shirts they made at that time. We know x is the number of shirts and because of that we want to solve for x. to do that we need to isolate x, the first step would be to take 3050 and sub that into the first equation
3050=1100+65x
subtract 1100 from both sides
3050-1100=65x
1950=65x
divide both sides by 65
1950÷65=x
simplify
30=x
d. you take the equation at the top c(x)=1100+65x and sub in 73 for x.
1100+(65×73)
simplify
1100+4745=5845
I need help with this. Please!
Answers
Add them all up = 48+9+15
Write an equation in slope-Intercept form from the polnts (-4,-2) and (-3,5)
y = 1/7x
y = 1/7x + 26
y = 7x + 26
x = 7y + 26
Answers
Answer:
y=7x+26
Step-by-step explanation:
First we have to find the slope of the lines.
(-4,-2)
(-3,5)
Our slope is going to equal 7
then we take a point and use it to find the equation
y--2=7(x--4)
y+2=7x+28
y=7x+26
An 11-m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 14 m. Find the length of the shadow. If necessary,
round your answer to the nearest tenth.
14
11
?
Answers
Answer:
8.66 m
Step-by-step explanation:
Given that,
The distance from the top of the building to the tip of the shadow is 14 m
The height of the building is 11 m.
We need to find the length of the shadow. we can see that the length of the shadow forms the base of the triangle.
The distance from the top of the building to the tip of the shadow form hypotensue and height of the building forms perpendicular. So, we can use Pythagoras theorem to find the base.
So,
[tex]H^2=b^2+h^2\\\\b^2=H^2-h^2\\\\b=\sqrt{14^{2}-11^{2}}\\\\b=8.66\ m[/tex]
So, the length of the shadow is 8.66 m.
can you help me please
Answers
Answer:
25/6
Step-by-step explanation:
Find the value of each variable and the measure of each labeled angle (2x) (3x-42)
Answers
Step-by-step explanation:
Head opposite angles
2x= 3x-42
x= 42°
the angles are 84°
Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles. The value of x is 42 and the measure of the two given angles is 84° each.
What are vertical angles?Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles.
The two of the given angles are vertically opposite angles, therefore, the measure of the two given angles will be the same.
(2x)° = (3x - 42)°
2x = 3x - 42
Subtract 2x from both sides of the equation and add 42 to both sides of the equation,
2x - 2x + 42 = 3x - 42 - 2x + 42
42 = 3x - 2x - 42 + 42
42 = x
Therefore, the value of x is 42. Now, the measure of each angle can be written as,
(2x)° = 2(42) = 84°
(3x - 42)° = 3(42) - 42 = 84°
Hence, the value of x is 42 and the measure of the two given angles is 84° each.
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1 1/2×(−6/15) Not a big math person what is this?
Answers
Answer:
11/2×(-6/15)
=-11/2×6/15
=-11×3/15
=-11×1/5
=-11/5
HELP PLEASE CHECK MY ANSWER!!!
Answers
Answer:
its almost correct but its just a little bit off
Step-by-step explanation:
1. on the left its on the two bring it closer to the 4 than the 2 so its gonna be right before the four ill insert a picture so u can see as well.
2. on the left side its going to be right before -2.
3. on the bottom its going to be moved down to -18 and a little bit out going to the right.
the picture is right there hope it helped
a fruit company delivers its fruit in two types of boxes large and small a delivery of five large boxes and two small boxes have a total weight of 88kg delivery of three large boxes in 8 small boxes has a total of 97 kg how much does each type of box weigh
Answers
Answer:
Large boxes:19 kg
Small boxes:5 kg
There are 39 students in a class.
16 of the students are female. Find the percentage of the class that are female.
Give your answer to the nearest percent.
Answers
to get a percentage: (16/39)x100
percentage = 41%
Determine if each of the numbers below is a solution to the inequality 3x-2<2-2x. SHOW ALL OF YOUR WORK
a. 2
b. 1/2
c. -3
d. 2/3
Answers
Answer:
b, c, and d are solutions
Step-by-step explanation:
3x - 2 < 2 - 2x
5x - 2 < 2
5x < 4
x < 4/5
b) 1/2 < 4/5 true
c) -3 < 4/5 true
d) 2/3 < 4/5 true
I am thinking of 2 numbers.
The sum of the two numbers is 553.
Their difference is 225.
What are the 2 numbers?
Answers
Hope this helped! Mark me brainliest if you’d like, im tryna get too expert!
x - y = 225
x + x + 225 = 553
2x = 553 - 225
2x = 328
Divide by 2.
x = 164
164 + y = 553
y - 164 = 225
553 - 164 = 389
225 + 164 = 389
The two mystery numbers are 164 and 389.
NOTE: Angles not necessarily drawn to scale.
PLEASE HELP I WILL MARK BRAINLIST
Answers
angles are supplementary so they add to 180.
180-133=47
Answer:
47
Step-by-step explanation:
133+133=266
360-266=94
94/2=47
I think hopefully!
Which pairs of equations are parallel?
a) y = 3x + 4 and y = 3x+1
b) y =- 3x + 4 and y = 3x + 1
c) y=x-1 and y = x+1
d) y = 2x + 3 and y = 2x + 1
Answers
Answer:
x by 1 times 15 to the third power
Step-by-step explanation:
A square pyramid is sliced in half, parallel to the base.
Which of the following statements describes the cross-section?
A triangle with the same height as the pyramid
A square that is smaller than the base
A square that is congruent to the base
A trapezoid that is shorter than the pyramid
Answers
Answer:
I think the answer is a because it not getting any smaller
Answer:
I think a trapezoid that is shorter than the pyramid because it's parallel to the base which automatically know it's not the same height because there's a certain length thats cut off.
Step-by-step explanation:
Carter is going to invest $210 and leave it in an account for 5 years. Assuming the interest is compounded annually, what interest rate, to the nearest tenth of a percent, would be required in order for Carter to end up with $250?
Answers
Answer:360
Step-by-step explanation:g-g5
The rate of interest will be 0.35.
What is compound interest?
Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.
Compound interest formula[tex]CI = P(1+\frac{r}{n}) ^{nt} -P[/tex]
and, the Amount is given by
[tex]A = P(1+\frac{r}{n} )^{nt}[/tex]
Where,
A is amount
P is principal
r is rate of interest
n is number of times interest is compounded per year
t is time
According to the given question
Principal, P = $210
Amount, A = $250
Time, t = 5 years
n = 1
Therefore, the interest rate is given by
Amount = [tex]P(1+\frac{r}{n}) ^{nt}[/tex]
⇒[tex]250 = 210(1+\frac{r}{1}) ^{5}[/tex]
⇒[tex]\frac{250}{210} =(1+r)^{5}[/tex]
⇒[tex]1.19 = (1+r)^{5}[/tex]
⇒[tex]\sqrt[5]{1.19} = 1+r\\[/tex]
⇒ 1.035 = 1 + r
⇒ r = 1.035 - 1
⇒ r = 0.35
Hence, the interest rate is o.35.
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eighteen is equal to the product of a number (n) and 9
Answers
eighteen is equal to the product of a number 9 and 9
2/5 divided by 4 and reduce the answer
Answers
Answer:
1/10 i guess
Step-by-step explanation:
2/5=0.4
0.4/4=0.1
0.1=1/10 (one tenth_
Answer:
1/10
Step-by-step explanation:
2/5 ÷4 is the same as 2/20, which is 1/10
Convert 2,000 cm to kilometers.
* fraction form *
Answers
Answer:
1/50
Step-by-step explanation:
Answer! Plz plz pls pls
Answers
Answer:
201.5238
Step-by-step explanation:
201.5238
calculator
Answer:
$201.52
Step-by-step explanation:
156.95 x 0.20 = 31.39 tip
subtotal = 188.34
188.34 x 1.07 = 201.52
