Answer:
Initial number of trees (t)=204
Step-by-step explanation:
t = initial number of trees
Subtract 5 trees from the initial number of trees
we have,
t-5
each remaining tree made 210 oranges for a total of 41,790 oranges
We have,
(t-5) * 210=41790
Solve the equation
(t-5) * 210=41790
Open the bracket
210t-1050=41790
210t=41790+1050
210t=42840
Divide both sides by 210
210t/210=42840/210
t=204
The initial number of trees on MacDonald farm orange trees (t)=204
If 5 is removed from the initial trees
t-5=204-5
=199 trees
199 trees produce 210 oranges
We have,
199*210=41790 oranges
Answer:
Equation: 210t - 1050 = 41790
204 orange trees
Step-by-step explanation:
answer is from khan academy
pls brainliest :|
Question 20 PLEASE HELP Tell whether the equation: -x+4y=-5 represents a direct variation
Answer:
no, it does not
Step-by-step explanation:
Hello
-x+4y=-5
so
[tex]4y = x-5\\<=> y=\dfrac{1}{4}x-\dfrac{5}{4}[/tex]
we say that y varies directly with x if y=kx
in this example we have an additional constant, the graph is not a line through the origin so this is not a direct variation
hope this helps
Factorize: 9(2a – b)^2 – 4(2a – b)
Answer:
(2 a - b) (18 a - 9 b - 4)
Step-by-step explanation:
Factor the following:
9 (2 a - b)^2 - 4 (2 a - b)
Factor 2 a - b out of 9 (2 a - b)^2 - 4 (2 a - b):
(2 a - b) (9 (2 a - b) - 4)
9 (2 a - b) = 18 a - 9 b:
Answer: (2 a - b) (18 a - 9 b - 4)
The population of Oregon is about 4,000,000 what is the order of magnitude of this number? A) 6 B) 4 C) 3 D) 7
Answer:
A
Step-by-step explanation:
Here, we are tasked with finding the order of magnitude.
What we are basically asked here is to write the number in powers of ten.
Thus
4,000,000 = 4 * 10^6
We can see that 10 is raised to the power of six here and thus we can say that the order of magnitude here is simply 6
The Venn diagram below shows the numbers of students in a class who had curry (C) and salad (S) at lunch. A student is chosen at random. Find P(C U S)
Answer:
Step-by-step explanation:
hello,
how many students ? 14 + 2 + 5 +3 = 24
how many students who had C and S ? 14 + 2 + 5 = 21
so P(C∪S)=21/24=(7*3)/(8*3)=7/8
hope this helps
Is triangleLMN cong triangleOQP? If so, name the postulate that applies.
Answer:
A. The triangles are congruent by SAS.
Step-by-step explanation:
Two sides of one triangle are congruent to two sides of the other triangle. The included angles of the two triangles are congruent.
The triangles are congruent by SAS.
use the figure and given information below. Show the calculations that lead to your results. Given: Polygon ROTFL ~ Polygon SUBAG Perimeter of ROTFL is 52. a) Find m∠G. (1 pt) b) Find AG. (2 pts) c) Find the perimeter of Polygon SUBAG. (2 pts)
Answer:
a) [tex]\angle G = 125^\circ[/tex]
b) AG = 15 units
c) Perimeter of polygon SUBAG = 78 units
Step-by-step explanation:
Given:
Polygon ROTFL ~ Polygon SUBAG
Similar polygons mean they have similar angles and the ratio of corresponding sides and ratio of their perimeter are equal.
Part A:
Given that
[tex]m\angle R = 100^\circ\\m\angle O = 120^\circ\\m\angle T = 75^\circ\\M\angle L = 60^\circ[/tex]
[tex]m\angle L+M\angle L = 180^\circ\\\Rightarrow m\angle L=180-60=120^\circ[/tex]
Sum of all interior angles of a pentagon is [tex]540^\circ[/tex]
[tex]m\angle R+m\angle O+m\angle T+m\angle F+m\angle L=540^\circ\\\Rightarrow 100+120+75+m\angle F+120=540^\circ\\\Rightarrow m\angle F=125^\circ\\[/tex]
Due to similarity property of the two pentagons, [tex]\angle F =\angle G = 125^\circ[/tex]
Part B:
Ratio of corresponding sides is equal.
Given the sides SU = 12, RO = 8 and FL = 10 units respectively.
[tex]\dfrac{SU}{RO}=\dfrac{AG}{FL}\\\dfrac{12}{8}=\dfrac{AG}{10}\\\Rightarrow AG = 15\ units[/tex]
Part C:
Ratio of corresponding sides must be equal to ratio of perimeter of the two polygons:
[tex]\dfrac{RO}{SU} = \dfrac{\text{perimeter of ROTFL}}{\text{perimeter of SUBAG}}\\\Rightarrow \dfrac{8}{12} = \dfrac{52}{\text{perimeter of SUBAG}}\\\Rightarrow \text{perimeter of SUBAG} = 52 \times 1.5\\\Rightarrow \text{perimeter of SUBAG} = 78\ units[/tex]
So, the answers are:
a) [tex]\angle G = 125^\circ[/tex]
b) AG = 15 units
c) Perimeter of polygon SUBAG = 78 units
State whether the data described below are discrete or continuous, and explain why The durations of movies in minutes A Choose the correct answer below OA. The data are continuous because the data can take on any value in an interval. St O B. The data are continuous because the data can only take on specific values OC. The data are discrete because the data can take on any value in an interval. O D. The data are discrete because the data can only take on specific values. G D
Answer:
D. The data are discrete because the data can only take on specific values.
Step-by-step explanation:
Continuous variables are variables that can take on any value in an interval. Examples of continuous variables are length, time, etc.
Discrete variables on the other hand are variables that can only take on specific values.
The durations of movies in minutes can only take on integer values from 0 to 60. Therefore, it is a discrete data.
The correct option is D.
Which points are coplanar?
Answer: ABFE or ABJCDI
Step-by-step explanation: Any points that are in the same plane or face of a 3D figure
please help !! what’s the answer? i don’t understand !!
Answer:
992
Step-by-step explanation:
You must convert the meter the kilometer by miltiplying by 1000
and when you do it you must multiply 0.992 by 1000 since it is a fraction .
or you can work it this way :
0.992⇒1m x(the new rate) ⇒1000m x= 0.992*1000= 992PLZZZZZZZZZZ HLPPPPPPPPP MEEEEEEEEEE what is the factorization of the polynomial graphed below? assume it has no constant factor. write each factor as a polynomial in descending order.
Answer:
(x-5)(x-8)(x+2)=0
Step-by-step explanation:
first look at the x intercept to find the factor
x:-2,5,8
x=-2 then x+2=0
x=5 then x-5=0
x=8 then x-8=0
(x-5)(x-8)(x+2)=0
check for y in the polynomial when x=0
x^3-11x^2+14x+80
x=0 y=80 ( correct according to the graph
Which graph represents the scenario? PLEASE HELP VERY EASY
Answer:
The answer is option B.
The second graph.
Hope this helps you
Which of the following is an equivalent form of the
compound inequality -22 > -5x - 72 -3? (1 point)
Select one:
O a. -5x - 75 -22 and -5x - 72-3
O b. -5x - 7> -22 and -5x - 72-3
O c. -5x > -22 and -7 -3
O d. -5x - 7 < -22 and -5x - 75 -3
Step-by-step explanation:
_22greater than minus 2 x minus minus 72 minus 3
72 minus 22 minus 3greathan than 2x
49greatern than 2 x
A history instructor has given the same pretest and the same final examination each semester. He is interested in determining if there is a relationship between the scores of the two tests. He computes the linear correlation coefficient and notes that it is 1.15. What does this correlation coefficient value tell the instructor?
Answer:
The history instructor has made a computational error.
Step-by-step explanation:
We have that the data represents the linear correlation coefficient and notes it is 1.15
The linear correlation coefficient value which is 1.15 does tell the instructor that the history instructor has made a computational error due to the linear correlation coefficient value falls in the range -1 to +1.
Therefore, the history instructor has made a computational error.
Hey everyone, can you please help me with this question? THANKS!
Answer:
6 granite, 3 marble, 14 sandstone, 1 slate
ratio of sandstone to marble
how many sandstone does she have .....14
how many marble does she have......3
so the ratio would be 14:3
Answer:
C. 14:3
Step-by-step explanation:
Dana has 14 pieces of sandstone.
Dana has 3 pieces of marble.
The ratio of pieces of sandstone to pieces of marble is 14:3.
The ratio cannot be simplified further.
What conclusion can you make from the information below?
Three people (Jack, Karen, and Louis) drive three different types of cars
(Ford, Chevrolet, Honda).
• Jack does not drive a Chevrolet.
• Karen does not drive a Chevrolet,
A. Louis drives a Chevrolet
B. Jack drives a Honda
C. Karen does not drive a Ford.
D. Louis does not drive a Chedly let.
M
Answer:
A.louis drive a chevolet
Step-by-step explanation:
from the question three different people drive different cars . since two out of the three people has been excluded from driving a particular car i.e the third person is the one driving Chevrolet
What is the sum of the fractions? Use the number line and equivalent fractions to help find the answer. Negative 1 and one-fourth + one-half A number line going from negative 3 to 0 in increments of one-fourth. Negative 1 and three-fourths Negative 1 and one-half Negative three-fourths Negative one-half
Answer:
C. Negative three-fourths
Step-by-step explanation:
Given two fractions -1 1/4 and 1/2, the sum of the fractions is expressed as shown below:
-1 1/4 + 1/2
Converting the improper fraction -1 1/4 to mixed fraction will give -5/4. The expression will now become:
-5/4 + 1/2
Taking the LCM of the expression
= (-5+2)/4
= -3/4
Hence the sum of fraction Negative 1 and one-fourth and one-half is negative three-fourths
Answer:
-3/4
Step-by-step explanation:
-1 1/4 +1/2
-5/4 + 2/4
-3/4
I’ll Give Brainlynest
Answer:
The answer is A.
Step-by-step explanation:
I hope this helps!
‼️10 points‼️
1. Match the graph with its equation.
A. y=-3
B. x=-3
C. x=3
D. y=3
Answer:
y=-3
Step-by-step explanation:
This is a horizontal line
Horizontal lines are of the form
y=
The y value is -3
y=-3
━━━━━━━☆☆━━━━━━━
▹ Answer
A. y = -3
▹ Step-by-Step Explanation
Y is represented by a horizontal line and it passes through the point -3 therefore, the answer is y = -3.
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Help!!!!! please!!!!!
Hey there! :)
Answer:
B. The volume of Cylinder B is larger.
Step-by-step explanation:
Find the volumes of each cylinder using the formula V = πr²h:
Cylinder A:
V = π3² · 5
V = 9π · 5
V = 45π units³
Cylinder B:
V = π5²· 3
V = 25π · 3
V = 75π units³
75π u³ > 45π u³, so the volume of Cylinder B is larger.
two factors of -48 have a difference of 19. the factor with a greater absolute value is positive. what is the sum of the factors? -19, -13 13 or 16
Answer:
-19
Step-by-step explanation:
-19 is the absolute value of 19
hope this helps
Answer:
sum = +13
Step-by-step explanation:
The possible factors of 48 are
{1,2,3,4,6,8,12,16,24,48}
Of these, the pair 3,16 gives a sum of 19 and a product of 48.
We are given that 16 (greater absolute value) is positive, so 3 is negative.
The sum of the two is therefore 16-3 = 13
Consider the following quadratic equation. -4x^2+bx-11=0 Determine a possible value of b so that the quadratic has two complex solutions.
Answer:
Step-by-step explanation:
hello,
for [tex]ax^2+bx+c=0[/tex]
[tex]\Delta = b^2-4ac[/tex]
so here
[tex]\Delta = b^2-4*(-4)*(-11)=b^2-176[/tex]
to have two complex solutions we need [tex]\Delta < 0\\[/tex]
so [tex]b^2<176[/tex]
[tex]<=> b < \sqrt{176}=13.266...[/tex]
for instance we can take b = 0
hope this helps
Answer:
The correct answer is 12.
Step-by-step explanation:
i got it correct on my test, thanks to comment on the question above.
given the polynomial function below find F(2)
F(x) = 5x^3 -2x^2 + 3
Answer:
35
Step-by-step explanation:
f(x)=5x^3-2x^2+3
f(2)=5x2^3-2x2^2+3
=5x8-2x4+3
=40-8+3
=40-5
=35
Answer:
35
Step-by-step explanation:
F(x) = 5x^3 -2x^2 + 3
Let x=2
F(2) = 5(2)^3 -2(2)^2 + 3
= 5*8 -2(4) +3
= 40 -8+3
= 32+3
= 35
One positive integer is 1 greater than 3 times another positive integer. If the product of the two integers is 154, then what is the sum of the two integers?
Answer:
29
Step-by-step explanation:
Let the smaller integer be x.
The other integer is 1 greater than 3 times x, or 3x + 1.
The product is 154.
x(3x + 1) = 154
3x^2 + x - 154 = 0
157 = 2 * 7 * 11
14 * 11 = 154
22 * 7 = 154
(3x + 22)(x - 7) = 0
3x + 22 = 0 or x - 7 = 0
3x = -22 or x = 7
x = -22/3 or x = 7
-22/3 is not a positive integer, so we discard that solution.
The smaller integer is 7.
3x + 1 = 3(7) + 1 = 22
The greater integer is 22.
The sum of the integers is 7 + 22 = 29
Answer: 29
Step-by-step explanation:
in the given figure angle 1 is equal to angle 2 then the measurements of angle 3 and angle 4 are
Answer:
(3) = 119
(4) = 119
Step-by-step explanation:
Given isosceles triangle with vertex angle 58.
Need exterior angles of base angles 1 & 2.
Solution:
Vertex angle = 58.
Base angle = x
Sum of triangles = 180 =>
x + x + 58 = 180
Solve for x
x = (180-58)/2 = 122/2 = 61
Exterior angles are supplementary to interior (base) angles, so
(3) = 180-(1) = 180 - 61 = 119
(4) = 180-(2) = 180 - 61 = 119
* note: supplementary means sum of two angles = 180.
The measurements of angle 3 and angle 4 are 119degrees and 119degrees respectively.
The sum of the interior angle of the triangle is 180degrees.
According to the diagram shown:
m<1 + m<2 + 58 = 180
Since <1 = <2, hencce:
m<1 + m<1 + 58 = 180
2m<1 = 180 - 58
2m<1 = 122
m<1 = 122/2
m<1 = 61 degrees
Since <1 = <2, thereofore m<3 = m<4
Get the measure of m<3
m<1 + m<3 = 180 (supplementary angles)
61 + m<3 = 180
m<3 = 180 - 61
m<3 = 119 degrees
Recall that m<3 = m<4, hence m<4 = 119degrees
The measurements of angle 3 and angle 4 are 119degrees and 119degrees respectively.
Learn more here: https://brainly.com/question/21680544
2/3a= -15 - a Please Explain
Hi there! :)
Answer:
a = -9
Step-by-step explanation:
Starting with:
2/3a = -15 - a
Solve for 'a' by isolating the variable:
2/3a = -15 - a
On the right-hand side of the equal sign, make 'a' have a common denominator of 3 to make the simplifying easier:
2/3a = -15 - 3/3a
Add 3a/3 to both sides:
5/3a = -15
Divide both sides by 5/3, or multiply by its reciprocal (3/5)
5/3a(3/5) = -15(3/5)
a = -9
Factor completely x3 + 6x2 + 8x + 48. A (x − 6)(x2 − 8) B (x − 6)(x2 + 8) C (x + 6)(x2 − 8) D (x + 6)(x2 + 8)
Answer:
(x+6)(x^2+8)
D
Step-by-step explanation:
x^3 + 6x^2 + 8x + 48=
x2(x+6)+8(x+6)= take x+6 common factor
(x+6)(x^2+8)
What are the coordinates of point B on Line AC such that AB is 3 times as long as BC? (Screenshots supplied to clarify)
Answer:
B(3.5, 0.5)
Step-by-step explanation:
Given:
A(5,5), Xa=5, Ya=5
C(3,-1), Xc=3, Yc=-1
To find point B, we can use the partition rule, where AB = 3BC, so AB occupies k=3/4 of the distance AC.
B(x,y) = ((1-k)Xa+kXc, (1-k)Ya+kYc)
=(Xa/4+3Xc/4, Ya/4+3Yc/4), substitute values
=(5/4+3*3/4, 5/4+3*(-1)/4)
=(14/4,2/4)
=(3.5, 0.5)
Answer:
(3.5, 0.5) or A
Step-by-step explanation:
Got it right
root( x-1 ) = 2 - root (x+3)
Answer:
[tex]x=1[/tex]
Step-by-step explanation:
[tex]\sqrt{x-1} =2-\sqrt{x+3}[/tex]
Square both sides.
[tex]\left(\sqrt{x-1}\right)^2=\left(2-\sqrt{x+3}\right)^2[/tex]
[tex]x-1=x+7-4\sqrt{x+3}[/tex]
Subtract x on both sides.
[tex]x-1-x=x+7-4\sqrt{x+3}-x[/tex]
[tex]-1=-4\sqrt{x+3}+7[/tex]
Subtract 7 on both sides.
[tex]-1-7=-4\sqrt{x+3}+7-7[/tex]
[tex]-8=-4\sqrt{x+3}[/tex]
Square both sides.
[tex]\left(-8\right)^2=\left(-4\sqrt{x+3}\right)^2[/tex]
[tex]64=16x+48[/tex]
Subtract 48 on both sides.
[tex]64-48=16x+48-48[/tex]
[tex]16=16x[/tex]
Divide both sides by 16.
[tex]\frac{16}{16} =\frac{16x}{16}[/tex]
[tex]1=x[/tex]
Switch sides.
[tex]x=1[/tex]
plz help forgot how to do this
Answer:
the true statements are A. The range for this function is the set (-5) D. The domain for this function is the set(-5)
Given: Line A B intersects Line D E at point C. Prove: AngleDCB Is-congruent-toAngleECA Line D E intersects line B A at point C. A 2-column table with 6 rows. Column 1 is labeled statements with the entries line A B intersects line D E at point C, angle D C B and angle B C E are a linear pair, angle D C B is supplementary to angle B C E, angle B C E and angle E C A are a linear pair, angle B C E is supplementary to angle E C A, angle D C B is-congruent-to angle E C A. Column 2 is labeled reasons with the entries given, definition of linear pair, linear pair post, definition of linear pair, question mark, congruent to supplementary theorem. What is the missing reason in step 5? linear pair postulate given definition of complementary angles congruent complements theorem
Answer:
The missing reason in step 5 is;
The linear pair postulate
Step-by-step explanation:
The information given are;
Column 1, Column 2
Statements, Reasons
Line AB intersect DE at C, Given
∠DCB and ∠BCE are linear pair, Definition of linear pair
∠DCB is supplementary to ∠BCE, Linear pair postulate
∠BCE and ∠ECA are linear pair, Definition of linear pair
∠BCE is supplementary to ∠ECA, Linear pair postulate
∠DCB ≅ ∠ECA, Congruent to supplementary theorem
Therefore, the missing reason in step 5 is the linear pair postulate.
Answer:
itS A
Step-by-step explanation: