Estimate the sum. 10 1/9 + 5 14/15
Answer:
Step-by-step explanation:
10+5=15 1/9 goes into 15 about twice so it goes to plus 1
so about without solving is 16 1/15
Find the equation of the tangent at ( 0 , 2) to the circle with equation
(x + 2)2 + (y + 1)2 = 13
Answer:
if this is high school i cant do it
NO LINKS!! Please help me with this problem
Answer:
1122.63ft
Step-by-step explanation:
Let, AB be the height of the monument, BC=789ft be the length of the monument ∠BAC=35.1° be the angle of elevation.
Now,
[tex]tanA=\frac{789ft}{AB} \\\\tan35.1=\frac{789ft}{AB} \\\\AB=\frac{789ft}{0.7028} \\\\AB=1122.63ft[/tex]
Hope this is correct.
There are 20 students on a bus. This is 50% of the total number of students. How many total students are there?
50 % =20 Learners
100%= x
x=100/50
=2
=2×20
=40 learners
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Solve all 3 Questions. 50 Points + Brainelist
Answer:
i) Using log law: [tex]\log_aa=1[/tex]
[tex]\implies \log_55+1=1+1=2[/tex]
ii) [tex]\log \left(\dfrac{15}{8}\right)+4 \log 2-\log 3[/tex]
Using log law [tex]a \log b=\log b^a[/tex]:
[tex]\implies \log \left(\dfrac{15}{8}\right)+\log 2^4-\log 3[/tex]
[tex]\implies \log \left(\dfrac{15}{8}\right)+\log 16-\log 3[/tex]
Using log law [tex]\log a-\log b=\log (\frac{a}{b})[/tex]:
[tex]\implies \log \left(\dfrac{15}{8}\right)+\log\left(\dfrac{16}{3}\right)[/tex]
Using log law [tex]\log a+\log b=\log(ab)[/tex]:
[tex]\implies \log \left(\dfrac{15}{8}\cdot \dfrac{16}{3}\right)[/tex]
[tex]\implies \log 10[/tex]
Using log law: [tex]\log_aa=1[/tex]
[tex]\implies \log_{10} 10=1[/tex]
iii) Take log of base 10:
[tex]\log_{10}(\sqrt{8.357}\times0.895^2)[/tex]
[tex]\implies \dfrac12\log_{10}(8.357)+2\log_{10}(0.895)[/tex]
Log tables
The characteristic of the logarithm of a number is the exponent of 10 in its scientific notation.
The mantissa is found using the log tables and is always prefixed by a decimal point.
The row is the first two non-zero digits of the number, and the column is the 3rd digit of the number
Use the log tables to find [tex]\log_{10}(8.357)[/tex]:
8.357 = 8.357 × 10⁰
⇒ characteristic = 0
log table: row 83, column 5 ⇒ mantissa 9217
(as there is a 4th digit) Mean difference 7 = 4
mantissa + mean difference = 9217 + 4 = 9221 ⇒ 0.9221
characteristic + mantissa = 0 + 0.9221 = 0.9221
Therefore, [tex]\log_{10}(8.357)=0.9221[/tex]
Use the log tables to find [tex]\log_{10}(0.895)[/tex]:
[tex]0.895 = 8.95\times 10^{-1}[/tex]
⇒ characteristic = -1
log table: row 89, column 5 ⇒ mantissa 9518⇒ 0.9518
characteristic + mantissa = -1 + 0.9518= -0.0482
Therefore, [tex]\log_{10}(0.895)=-0.0482[/tex]
Therefore,
[tex]\implies \dfrac12\log_{10}(8.357)+2\log_{10}(0.895)[/tex]
[tex]\implies \dfrac12 \cdot 0.9221+2\cdot-0.0482[/tex]
[tex]\implies 0.36465[/tex]
Therefore,
[tex]\log_{10}(\sqrt{8.357}\times0.895^2)=0.36465[/tex]
Using [tex]\log_ab=c \implies a^c=b[/tex]
[tex]\implies \sqrt{8.357}\times0.895^2=10^{0.36465}[/tex]
[tex]\implies \sqrt{8.357}\times0.895^2=2.3155[/tex]
Add the two expression’s
(7w-5) and (-3w+3)
Answer:
d) 4w - 2
Step-by-step explanation:
(7w-5) and (-3w+3)
(7w-5) + (-3w+3)
1(7w-5) + 1(-3w+3)
7w - 5 - 3w + 3
Combine like terms:
7w - 5 - 3w + 3
7w - 3w - 5 + 3
4w - 2
Hope this helps!
Gcf of 12 30 and 75 list them
Hey there!
12: 1, 2, 3, 4, 6, & 12
30: 1, 2, 3, 5, 6, 10, 15, & 30
75: 1, 3, 5, 15, 25, & 75
LIKE TERMS: 1 and 3
GCF: 3
Therefore, your answer is: 3
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
The table below shows the number of ounces in price for each of the four different bottles of orange juice. Which bottle has a price of $.10 per ounce
Answer:
12 oz bottle
Step-by-step explanation:
See attached image.
what is 1/8 as a fraction decimal and percent
Given: ALMN ~ AQPR, find RQ.
5 8 2r +2 N R 2r +5 A. 11 B. 24 C. 27 D. 32 12 O
Students were asked to choose the city they would most like to visit and 5/10 chose either New York or Los Angeles. If 2/10 of the students chose Los Angeles, what fraction chose New York?
Answer:
3/10
Step-by-step explanation:
There are 10 students
5 of them voted either Los Angeles or New York
That means ignore (screw) the other 5 people
If 2/10 students chose Los Angeles,
that is 2/5 because the others didn't choose those cities that are part of the equation (nobody asked about the other people)
So if 5 people chose two groups of cities, and two people chose one city, that meant 3 chose the other
3/10 (remember its out of all of them) Students Voted for New York
Hope this helps :)
-jp524
PLEASE HELP WITH THIS
Step-by-step explanation:
hope you have got the answer in the attachment.
The measures of the angles of an isosceles triangle are in the ratio
3:3:2. Find the measure of the largest angle.
answer:
67.5
Explanation:
Let the triangle be ΔABC and angles be ∠A,∠B,∠C
Now, we know that all the 3 angles of a triangle sum up to be 180° from the Triangle Sum Property.
:.∠A + ∠B + ∠C = 180
:.3x+3x+2x=180 [3:3:2]
:.8x = 180
:.x = 180/8
:.x = 22.5°
:.
/_A=3x=3(22.5)=67.5°
/_B=3x=3(22.5)=67.5°
/_C=2x=2(22.5)=45°
The table shows the distance Penelope is from the park as she walks to soccer practice. Assume the relationship between the two quantities is linear. Find and interpret the rate of change and initial value. Then write the equation of the function in the form y=mx+b
-- help me
The equation of the function in the form y=mx+b is y = 110x-2020
Rate of a change of functionThe standard equation of a line is expressed as:
y = mx + b
where:
m is the rate of change or slope
b is the intecept
Using the coordinate points
Determine the slope
m = 550/5
m = 110
For the intercept
280 + 110(20) + b
280 = 2200 + b
b = 180 - 2200
b = -2020
Hence the equation of the function in the form y=mx+b is y = 110x-2020
Learn more on rate of change here: https://brainly.com/question/8728504
what is the common greatest factor of 18 and 3
Answer:
It is 3
•°•°•°
Math is poop
Whats the pattern for this numbers 5, 3, 9, 2, 13
Step-by-step explanation:
Go and learn numbers , it will be 1 2 3 4 5
54 years 3 months - 25 years 6 months
Answer: 4 year difference
Step-by-step explanation: 4 year difference
Helpppp plaseeeee hurryyyyy Vocabulary I need the definition of these
Inverso Aditivo
Inverso Multiplicativo
Números Opuestos
Números Recíprocos
Valor Absoluto
Answer:
Inverse Additive
Inverse multiplicative
Opposite Numbers
Reciprocal Numbers
Absolute value
Step-by-step explanation:
Inverse Additive is the number that is added to a given number to make the sum zero. For example, the additive inverse of 3 would be -3, because 3 + -3 = 0.
Inverse multiplicative is defined as a number which when multiplied by the original number gives the product as 1. For example, the multiplicative inverse of 5 would be 1/5, because multiplying 1/5 by the number 5 would equal to the product of 1.
Opposite Numbers- The opposite of a number is the number on the other side of 0 number line, and the same distance from 0. Basically same thing as an additive inverse. The negative version of a positive number, and vice versa.
Reciprocal Numbers- The reciprocal of a number is this fraction flipped upside down. In other words, the reciprocal has the original fraction's bottom number—or denominator—on top and the top number—or numerator—on the bottom.
Absolute value- The absolute value (or modulus) | x | of a real number x is the non-negative value of x without regard to its sign.
I am trying to help my daughter out and I have no clue
does 3x-y=4 and 6x-2y=8 have a solution?
Answer:
No there is no solution
Step-by-step explanation:
X cannot be found no matter how you try to solve the simultaneous equation so therefore y can also not be found.
The points (-1, -8) and (r, 4) lie on a line with slope 3. Find the missing coordinate
Answer:
r = 3
Step-by-step explanation:
Write the equation of the line that passes through the points (7, –4) and (–1, 3), first in point-slope form, and then in slope-intercept form.
Answer:
y +4 = -7/8(x -7)y = -7/8x +17/8Step-by-step explanation:
Given two points, the equation for the line can be found by starting with determining the slope. Then the point-slope form can be used to find the equation. That form can be rearranged to give the slope-intercept form (or any other form you may desire.)
The slope formula is ...
m = (y2 -y1)/(x2 -x1)
m = (3 -(-4))/(-1 -7) = 7/-8 = -7/8
Then the point-slope form using the first point is ...
y -k = m(x -h) . . . . line with slope m through point (h, k)
y +4 = -7/8(x -7) . . . . . line with slope -7/8 through (7, -4)
__
Eliminating parentheses, and subtracting 4 gives the slope-intercept equation:
y +4 = -7/8x +49/8 . . . eliminate parentheses
y = -7/8x +17/8 . . . . . subtract 4; slope-intercept equation
_____
The attached graph shows both forms of the equation draw the same line.
How would I solve this problem?
The area of the garden enclosed by the fencing is
A(x, y) = xy
and is constrained by its perimeter,
P = x + 2y = 200
Solve for x in the constraint equation:
x = 200 - 2y
Substitute this into the area function to get a function of one variable:
A(200 - 2y, y) = A(y) = 200y - 2y²
Differentiate A with respect to y :
dA/dy = 200 - 4y
Find the critical points of A :
200 - 4y = 0 ⇒ 4y = 200 ⇒ y = 50
Compute the second derivative of A:
d²A/dy² = -4 < 0
Since the second derivative is always negative, the critical point is a local maximum.
If y = 50, then x = 200 - 2•50 = 100. So the farmer can maximize the garden area by building a (100 ft) × (50 ft) fence.
Please look at the picture and answer it thank you.
¤ Angle sum property of triangle states that the sum of interior angles of a triangle is 180°
8x + 14 + 42 = 180 8x + 56 = 180 8x = 180 - 56 8x = 124 x = 124 / 8 x = 15Have a great day !!
Answer all 4 please, rounded to the nearest 10th
The length of a classroom is 41 feet.
What is this measurement in yards and feet?
The measurement is yd ft.
Answer:
There are 3 feet in a yard, so divide 34 by 3, which is 11 with a remainder of 1, the remainder 1 is the remaining foot, so 34 feet is 11 yards and 1 foot.
Step-by-step explanation:
A number line shows 1-2, and -13. Which statement is NOT true?
1} < -2 because 1 is located to the right of — 2 on the number line.
1} > -1 because 1 is located to the right of -1 on the number line.
-2} < -1% because -1; is located to the right of —2 on the number line.
Answer:
2nd statement
Step-by-step explanation:
it is
en 56 años , daniel tendra 5 veces la edad que tiene ahora
the answer is 15!
Hope this helps!
Determine the area enclosed by y=2x+3, the x-axis and the ordinates x=3 and x=4
Answer:
[tex]\displaystyle \int\limits^4_3 {2x + 3} \, dx = 10[/tex]
General Formulas and Concepts:
Calculus
Integration
IntegralsIntegration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Area of a Region Formula: [tex]\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
Identify.
y = 2x + 3
x-interval [3, 4]
x-axis
See attachment for graph.
Step 2: Find Area
Substitute in variables [Area of a Region Formula]: [tex]\displaystyle A = \int\limits^4_3 {2x + 3} \, dx[/tex][Integral] Rewrite [Integration Property - Addition/Subtraction]: [tex]\displaystyle A = \int\limits^4_3 {2x} \, dx + \int\limits^4_3 {3} \, dx[/tex][Integrals] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle A = 2 \int\limits^4_3 {x} \, dx + 3 \int\limits^4_3 {} \, dx[/tex][Integrals] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle A = 2 \bigg( \frac{x^2}{2} \bigg) \bigg| \limits^4_3 + 3(x) \bigg| \limits^4_3[/tex][Integrals] Integrate [Integration Rule - FTC 1]: [tex]\displaystyle A = 2 \bigg( \frac{7}{2} \bigg) + 3(1)[/tex]Simplify: [tex]\displaystyle A = 10[/tex]∴ the area bounded by the region y = 2x + 3, x-axis, and the coordinates x = 3 and x = 4 is equal to 10.
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Learn more about integration: https://brainly.com/question/26401241
Learn more about calculus: https://brainly.com/question/20197752
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Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
A researcher decides to determine if the type of writing utensil that a student uses while doing their math affects their accuracy. A group of 1200 high school students in Algebra are randomly divided into four groups. One group uses a regular pencil, another uses a mechanical pencil, one group uses a pen and the fourth group is allowed to use whatever type of utensil they feel like. A math test is given and the results are tabulated for accuracy. The variable- type of writing utensil - is what type of variable?
Since the variable type of writing utensil assumes labels and not numbers, it is classified as qualitative.
What are qualitative and quantitative variables?Qualitative variables: Assumes labels or ranks.Quantitative variables: Assume numerical values.In this problem, the type of writing utensil has 4 labels: regular pencil, mechanical pencil, pen, whatever.
Hence, since the variable assumes labels and not numbers, it is classified as qualitative.
More can be learned about quantitative and qualitative variables at https://brainly.com/question/20598475