Answer:
40%
Step-by-step explanation:
Percent must be equal to 100, so if 60 are girls, then 40% must be boys.
.
If f(x)=3x^2+x-2, then f(-2)=
________ 11B. If m∠ABC = 74, then what is the measure of AB ?
1.5, 2.25, 3.0, 3.75, ...
Which recursive formula can be used to determine the total amount of time spent making hats based on the total amount of time spent previously?
f(n + 1) = f(n) + 1.5
f(n + 1) = f(n) + 0.75
f(n + 1) = one-halff(n)
f(n + 1) = three-halvesf(n)
The recursive formula can be used to determine the total amount of time spent making hats based on the total amount of time spent previously is f(n + 1) = f(n) + 0.75
Recursive functionsThe general recursive function is expressed as:
an+1 = d + an
where
r is the common difference
Given the sequence below
1.5, 2.25, 3.0, 3.75, ...
Common difference = 2.25 - 1.5 = 0.75
Substitute
f(n + 1) = f(n) + d
f(n + 1) = f(n) + 0.75
Hence the recursive formula can be used to determine the total amount of time spent making hats based on the total amount of time spent previously is f(n + 1) = f(n) + 0.75
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this is a question on a review assignment that i’m stuck on , my summer school teacher said i could get help if i needed. any help would be greatly appreciated
Answer:
volume = 3549.203
Step-by-step explanation:
you need to subtract the volume of the cylinder from the volume of the box
cylinder:
[tex]vol=\pi r^2h\\V=\pi (5)^2(20)\\V=\pi (25)(20)\\V=500\pi[/tex]
box:
[tex]vol=(length)(width)(height)\\V=(20)(16)(16)\\V=5120[/tex]
subtract:
[tex]5120-500\pi =3549.203[/tex]
Angle 1 and Angle 2 are complementary angles. Angle 1 is 5x degrees. Angle 2 is 50 degrees. Find the value of x. Type ONLY the number.
Answer:
x = 8
Step-by-step explanation:
complementary angles sum to 90°
sum the 2 angles and equate to 90
5x + 50 = 90 ( subtract 50 from both sides )
5x = 40 ( divide both sides by 5 )
x = 8
HELP HELP HELP
HELP HELP HELP
HELP HELP HELP
[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
As per the given information ~
The given triangles are similar, so their corresponding sides should be in same ratio :
[tex]\qquad \sf \dashrightarrow \: \dfrac{2x}{4} = \cfrac{5}{x - 3} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{x}{2} = \cfrac{5}{x - 3} [/tex]
[tex]\qquad \sf \dashrightarrow \: x(x - 3) = 10[/tex]
[tex]\qquad \sf \dashrightarrow \: {x}^{2} - 3x = 10 [/tex]
[tex]\qquad \sf \dashrightarrow \: {x}^{2} - 3x - 10 = 0[/tex]
[tex]\qquad \sf \dashrightarrow \: {x}^{2} - 5x + 2x - 10 = 0[/tex]
[tex]\qquad \sf \dashrightarrow \: x(x - 5) + 2(x - 5) = 0[/tex]
[tex]\qquad \sf \dashrightarrow \: (x + 2)(x - 5) = 0[/tex]
so, x = 5 or -2
but since side length can't be negative, we will take x = 5 neglecting the negative value (-2)
So, side lengths of unknown sides are :
[tex] \qquad \sf \dashrightarrow \: {2x = 2 × 5 = 10 units} [/tex]
and
[tex]\qquad \sf \dashrightarrow \: x - 3 = 5 - 3 = 2 \: \: units[/tex]
Will mark Brainliest. Find x
the value of 'x' is 0. 9
How to determine the value
For the given triangle, we have the;
Adjacent side = 7Opposite side = 13 + xWe want to find the value of x
Using the tangent ratio
Tan θ = opposite/adjacent
Let's substitute the value of theta, opposite and adjacent
Tan 60 = 13 + x / 7
1. 73 = 13+ x/ 7
cross multiply
1. 73 × 7 = 13 + x
12. 1 = 13 + x
x = 13 - 12. 1
x = 0. 9
We can see that the value of x is 0. 9
Thus, the value of 'x' is 0. 9
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Please answer hurry!
By trigonometric functions we find that the measure of angle A is approximately 0.12π radians.
How to determine the missing angle in a right triangleIn this question we have a right triangle, of which the length of two sides are known (AB, BC). We can know the measure of angle A by trigonometric functions:
[tex]\tan A = \frac{BC}{AC}[/tex]
[tex]\tan A = \frac{2}{5}[/tex]
A ≈ 0.12π radians
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use the formulas for lowering powers to rewrite the expression in terms of the first power of cosine cos^4
The expression cos⁴ θ in terms of the first power of cosine is [ 3 + 2cos 2θ + cos 4θ]/8.
The power-reducing formula, for cosine, is,
cos² θ = (1/2)[1 + cos 2θ].
In the question, we are asked to use the formulas for lowering powers to rewrite the expression in terms of the first power of cosine cos⁴ θ.
We can do it as follows:
cos⁴ θ
= (cos² θ)²
= {(1/2)[1 + cos 2θ]}²
= (1/4)[1 + cos 2θ]²
= (1/4)(1 + 2cos 2θ + cos² 2θ] {Using (a + b)² = a² + 2ab + b²}
= 1/4 + (1/2)cos 2θ + (1/4)(cos ² 2θ)
= 1/4 + (1/2)cos 2θ + (1/4)(1/2)[1 + cos 4θ]
= 1/4 + cos 2θ/4 + 1/8 + cos 4θ/8
= 3/8 + cos 2θ/4 + cos 4θ/8
= [ 3 + 2cos 2θ + cos 4θ]/8.
Thus, the expression cos⁴ θ in terms of the first power of cosine is [ 3 + 2cos 2θ + cos 4θ]/8.
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A Delivery service charges $25 per pound for making a delivery. If there is an additional 8% sales tax, what is the cost of delivering an item that weighs 4/5 of a pound?
The cost of delivering an item that weighs 4/5 of a pound?$21.60.
How to find the delivery cost?Let x = the number of pounds
Thus, we can say that;
Cost = 25x * 1.08
Since we want to find the cost of delivering an item that weighs 4/5 of a pound, the we will put 4/5 for x to get;
Cost = (25 * 4/5) * 1.08
Cost = 20 * 1.08
Cost = 21.6
The delivery cost would be $21.60.
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pls help i’ll give brainliest
Answer:
A
Step-by-step explanation:
Area of the rectangle is 15*20=300
Area of the triangle is 8*17/2=68
Total area is 300+68=368
Perimeter is 15+20+20+8+17=80
Answer:
[tex]\rm {P = 80 \space\ feet,\space\ A = 360 \space\ square \space\ feet}[/tex]
Step-by-step explanation:
The perimeter of a shape is the sum of all the sides of the shape.
• Perimeter of the polygon = 15 + 20 + 17 + 8 + 20
= 80 feet
To find the area of the polygon, we can separately find the areas of the triangle and the rectangle and then add them together.
• Area of rectangle = length × breadth
= 15 × 20
= 300 square feet
• Area of triangle = [tex]\frac{1}{2}[/tex] × base × height
As the height of the triangle is not provided, we have to calculate it.
Let the height of triangle = [tex]x[/tex]
Using Pythagoras's theorem:
[tex]x^2 + 8^2 = 17^2[/tex]
⇒ [tex]x^2 = 17^2 - 8^2[/tex]
⇒ [tex]x = \sqrt{17^2 - 8^2}[/tex]
⇒ [tex]x=\bf15[/tex]
Now using this value of height, we can find the area of the triangle:
Area of triangle = [tex]\frac{1}{2}[/tex] × 8 × 15
= 60 square feet
• Finally, we can add the areas of the triangle and rectangle together to find the area of the polygon:
Area of polygon = 300 + 60
= 360 square feet
Figure ABCD is a parallelogram.
A
5x + 3
C
B
38
What is the value of x?
6
07
08
09
Answer:
7
Step-by-step explanation:
5x+3=38 subtract the 3 from the 38 leaving you with 35/5 getting you 7
The value of x in the given parallelogram is 7.
What is Quadrilateral?A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles
A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.
So 5x+3=38
We need to find the value of x
Subtract 3 from both sides
5x=38-3
5x=35
Five times of x equal to thirty five
Divide both sides by 5
x=7
Hence, the value of x in the given parallelogram is 7.
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A compound inequality is shown below.
x ≤ 3 and x ≥ 0
Which graph represents the solution of the inequality?
Answer:
b
Step-by-step explanation:
edge
Quick algebra 1 question 25 points!
Only answer if you know the answer, quick shout-out to subtomex0, tysm for the help!
Answer:
1. Translate 5 units up (Fixed after a comment from subtomex0 - Thanks again!)
2. Vertical Compression by a scale factor of 3/8
3. Reflect across the y-axis, and shift 2 units to the left
4. Vertical stretch by a scale factor of 6, and shifting 1 unit up
5. Shifting 11 units to the left
6. Vertical stretch by a scale factor of 8
7. Vertical compression by a scale factor of 1/2, and reflection across the y-axis.
Simplify the expression 3(x + 2)(x2 − x − 8). (6 points)
Answer:
3x³ + 3x² - 30x - 48
Step-by-step explanation:
3(x + 2)(x² - x - 8) ← distribute (x + 2) by 3
= (3x + 6)(x² - x - 8)
each term in the second factor is multiplied by each term in the first factor
= 3x(x² - x - 8) + 6(x² - x - 8) ← distribute both parenthesis
= 3x³ - 3x² - 24x + 6x² - 6x - 48 ← collect like terms
= 3x³ + 3x² - 30x - 48
Jasmine buys a turkey every year . The first time she bought a turkey, in year 0, it cost $15.50. She notices the price is getting more expensive, at a rate of 2%
The price of the turkey based on the percentage given is $15.81.
How to illustrate the information?It was stated that the cost is $15.50 but that there was a 2% increment in price.
Therefore, the new price will be:
= $15.50 + (2% × $15.50)
= $15.50 + $0.31
= $15.81
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Use the distributive property with factoring to find the equivalent expression. 20a + 28b = ( a + 7b)
The equivalent expression after factoring 20a + 28b = ( a + 7b) using the distributive property is 19a + 21b = 0.
What is Distributive Property?According to the distributive property, an expression in the form A (B + C) can be solved as A (B + C) = AB + AC. This distributive law applies to subtraction as well and is written as A (B - C) = AB - AC. This means that operand A is shared by the other two operands.
The given equation is 20a + 28b = ( a + 7b).
20a + 28b = ( a + 7b).
Now, subtract both sides by a.
20a - a + 28b = a + 7b - a.
19a + 28b = 7b.
Now, subtracting both sides by 7b.
19a + 28b - 7b = 7b - 7b.
19a + 21b = 0.
Therefore, the equivalent expression to 20a + 28b = ( a + 7b) is 19a + 21b = 0.
We spend 85 minutes a day in math class. How many hours would we spend in math class in a 9 week period
Answer:
we spend maths class in a. day =85m
.:we spend in a maths class in a 9 week period=85x9x7:- 24=223.125
Choose the equation for the graph.
A. Y=|x/2|-5
B. Y=2|x|+5
C. Y=2|x|-5
D. Y=|x/2|+5
E. Y= |x/5|-2
The correct equation of the given graph is; Option A: y = |x/2| - 5
How to find the equation of a graph?
From the given graph, we can see the following coordinates;
At x = 0, y = -5
At x = 1, y = -4.5
At x = -1, y = -4.5
At x = 2, y = -4
At x = -2, y = -4
Since the y-intercept is at y = -5, looking at the given options, the only one that is correct will be;
y = |x/2| - 5
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I need help with this question, not really understanding
The measure of angle D in the inscribed triangle is as follows;
∠D = 63 degrees
How to solve circle theorem?The circle theorem can be use to find the ∠D as follows;
The triangle BCD is inscribed in the circle.
Using circle theorem,
The angle of each triangle is double the angle of the arc it create.
Therefore,
arc BC = m∠D
m∠B = 134 / 2 = 67 degrees.
Therefore, using sum of angles in a triangle.
67 + 50 + m∠D = 180
m∠D = 180 - 50 - 67
m∠D = 63 degrees.
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We want the following inequality to be
true:
|x| < 9
Which of the following are possible
values for x?
Choose all answers that apply:
A
B
x = -10
x = 7
x = 13
Answer:
x = 7
Step-by-step explanation:
The integer values of x that satisfy |x| < 9 are ...
{-8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7. 8}
Of these values, the only one listed as an answer choice is ...
x = 7
__
Additional comment
The expression |x| means "the absolute value of x". It is the value of x with the sign made positive. That is |-10| = 10, a number greater than 9. Of course, |13| = 13, also a number greater than 9.
someone please help- just look at the picture
Answer:
30
Step-by-step explanation:
18/60 =.3 x 100 = 30
explanation?
please help asap
Answer:
70 degrees = a
Step-by-step explanation:
Triangle= 180 degrees.
Therefore, since a and the unmarked angle are congruent since it is an isosceles triangle, we subtract 40 from 180, with a result of 140. With 140, we divide by 2 to find the degrees for both the unmarked angle and angle a, since they are congruent. 140/2 = 70, Angle A will equal to 70 degrees
Which expression is equivalent to startfraction 10 x superscript 6 baseline y superscript 12 baseline over negative 5 x superscript negative 2 baseline y superscript negative 6 baseline endfraction? assume x not-equals 0, y not-equals 0.
[tex]3/ 5x^6*y^6[/tex] is the solution f the expression [tex](-9x^-1*y^-9) / (-15x^5*y^-3)[/tex]
Given expression:
(-9x^-1*y^-9) / (-15x^5*y^-3)
As we know, any number with negative power can be written in inverse form with positive power.
[tex]x^-a = 1/x^a[/tex]
Two number having same base their powers are added:
[tex]x^a + x^b = x^a+b[/tex]
[tex]= > (-9x^-1*y^-9) / (-15x^5*y^-3)= (-3x^-1*y^-9) / (-5x^5*y^-3)\\=3/(5x^6 y^6)[/tex]
Hence the solution would be [tex]3 (5x^6 y^6)[/tex].
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Answer:
b
Step-by-step explanation:
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each scenario with its effect on the PPC.
These are the effect on the PPC
1st pairs with a point original to PPC. and 2nd pairs with PPC shifts to the left. and 3rd pair with PPC shifts to the right.
According to the statement
we have given the some conditions and we have to match the each scenario with the effect of the PPC.
So, The given effect on the tiles are Tiles
- the PPC shifts to the right
- the PPC shifts to the left
- a point on the original PPC
- a point inside the PPC
- a point outside the PPC
And we have to join it with its pairs.
So,
First :
A manufacturing unit uses all its resources efficiently = A point on the original PPC
Second :
Andrew has 5 hours to complete his homework but uses only 3 hours, so he doesn’t complete it. = The PPC shifts to the left
Third :
A country acquires part of its neighboring country = The PPC shifts to the right
These are the conditions that satisfy the effect of PPC.
So, These are the effect on the PPC
1st pairs with a point original to PPC. and 2nd pairs with PPC shifts to the left. and 3rd pair with PPC shifts to the right.
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Disclaimer: This question was incomplete. Please find the full content below.
Question:
Match each scenario with its effect on the PPC.
Tiles
- the PPC shifts to the right
- the PPC shifts to the left
- a point on the original PPC
- a point inside the PPC
- a point outside the PPC
Pairs
- A manufacturing unit uses all its
resources efficiently.
- Andrew has 5 hours to complete his
homework but uses only 3 hours, so
he doesn’t complete it.
- A country acquires part of its neighboring
country.
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^it doesn't need to be this complicated
Can someone please help???
Answer:
A 0.08
Step-by-step explanation:
) Suppose that we have a bucket of 30 red balls and 70 blue balls. If we pick 20 balls uniformly out of the bucket, what is the probability of getting exactly k red balls
Answer: 30%
Step-by-step explanation:
The circle below is centered at (3, 1) and has a radius of 2. What is its
equation?
Answer:
( x-3) ^2 + ( y-1) ^2 = 4
Step-by-step explanation:
The equation for a circle is given by
( x-h)^2 + ( y-k) ^2 = r^2 where (h,k) is the center and r is the radius
( x-3) ^2 + ( y-1) ^2 = 2^2
( x-3) ^2 + ( y-1) ^2 = 4
Measures of the two triangles DEF and PQR
are shown in the figure. Check if the
triangles are congruent. If congruent, which
of the following statements is true?Justify.
∆DEF ≅ ∆PQR ;
∆ DEF ≅ ∆ QPR ;
∆DEF ≅ ∆RPQ
Triangles ABC and triangle PQR are congruent triangles based on angle-side-angle congruency theorem.
What are congruent triangles?Two triangles are said to be congruent if they have the same shape and their corresponding sides are congruent to each other. Also, their corresponding angles are congruent to each other.
Triangles ABC and triangle PQR are congruent triangles based on angle-side-angle congruency theorem.
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A card is chosen at random from a deck of 52 cards. It is then replaced and a
second card is chosen. What is the probability of choosing a jack and then an
ace card?
O 0.077
0.004*
O 0.0059
O 0.001
Answer: 0.0059 (choice C)
Explanation:
There are 4 jacks out of 52 cards total.
4/52 = 1/13 is the probability of getting a jack.
The same applies to an ace as well.
The probability of a jack followed by an ace is (1/13)*(1/13) = 0.0059 approximately, when we replace the first card. If the replacement wasn't done, then the second probability would be different from 1/13.