Answer:
1. 35
2. 145
3. 55
4. 90
5. 145
Step-by-step explanation:
1. 35: angle 1 and 2 are a linear pair (meaning it is in one line and adds to 180). Since we know angle 2 is 145, ∠1 = 180 - 145
∠1 = 35
2. 145: ∠7 = ∠2 because they are alternate angles and alternate angles are equal
3. 55: ∠7 = ∠5 + ∠4 because vertically opposite angles are equal. We know that ∠5 = 90, hence ∠4 would equal 145 - 90 = 55
4. ∠5 = 90. It is given
5. 145: ∠9 = ∠2 because they are vertically opposite
pythagorean theorem calc: find c, a=n/a, b=6
The value of c in the Pythagorean theorem with a = n/a and b = 6 is c = √(n^2 + 36).
The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). In this case, we are given that a = n/a and b = 6.
To find c, we substitute the given values into the Pythagorean theorem formula:
c^2 = a^2 + b^2
Substituting a = n/a and b = 6:
c^2 = (n/a)^2 + 6^2
= n^2/a^2 + 36
To simplify the expression, we can multiply both sides of the equation by a^2:
c^2 * a^2 = n^2 + 36a^2
Taking the square root of both sides gives us the value of c:
c = √(n^2 + 36a^2)
Therefore, the value of c in terms of n and a is c = √(n^2 + 36).
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A baker needs 2 pounds of flour to make 76 cookies.
How many pounds of flour would the baker need to
make 190 cookies?
Answer:
5 pounds
Step-by-step explanation:
2=76
76/2=38
38x5=190
5 pounds because it takes one pound to make 38 cookies
The ratio of the surface area of two cubes is 49:81. Find the ratio of there volumes.
Answer:
343 : 729
Step-by-step explanation:
A cube is made up of 6 square faces. If each face has a side length of a, we can find the surface area of that cube with the formula \(A=6a^2\), since we'll have 6 faces with area a². Let's call the edge length of the first cube a and the edge length of the second cube b. The ratio between their surface areas is then 6a² : 6b², or simply a² : b². If we compare this to our given ratio 49 : 81, we can see that a² = 49 and b² = 81, or, square rooting both equations, a = 7 and b = 9.
The volume of a cube with a side length a is a³, so the ratio between our cubes here must be a³ : b³. Using the values for a and b we just found, this ratio becomes 7³ : 9³, which we can simplify to 343 : 729.
Answer:
343 : 729
Step-by-step explanation:
If the ratio of the sides of a cube = a : b , then
ratio of areas = a² : b² and
ratio of volumes = a³ : b³
Given ratio of areas = 49 : 81, then
ratio of sides = \(\sqrt{49}\) : \(\sqrt{81}\) = 7 : 9 , so
ratio of volumes = 7³ : 9³ = 343 : 729
Need answer ASAP PLS
Answe: 3rd one
Step-by-step explanation:
Answer:
bottom right due to X being grater then 2 on the X-axis
I’m honestly stuck on this for no reason
Answer:
Box above 6: 5 | Box below 7: 6 | Box above 3: 2
Step-by-step explanation:
Answer:
8.5+27.64=36.14
Step-by-step explanation:
which set of ordered pairs could be generated by an exponential function
Answer:
Option C represents an exponential function
Step-by-step explanation:
Generally, we have an exponential function in the form ;
y = a.b^x
Where in fact, a is not 0
In this case, let us have a as 1 and b as 2
So we have;
for x = -1
y = 2^-1 = 1/2
for x = 0
y = 2^0 = 1
for x = 1
y = 2^1 = 2
for x = 2
y = 2^2 = 4
So the correct choice here is the third option
The local newspaper has letters to the editor from 30 people. If this number represents 2% of all of the newspaper's readers, how many readers does the newspaper have?
Answer:
1500 readers
Step-by-step explanation:
30/.02 = 1500 readers
On a map in a geography textbook, the scale is 1 inch equals 60 miles.What is the actual distance for a map distance of 4 1/4 inches?
Answer:
255 miles
Step-by-step explanation:
if 1 inch is 60 miles then you need to times 60 miles by 4.25 which is the same thing as 4 1/4. you then get 255 miles.
can someone help me...........
Answer:
?=5
Step-by-step explanation:
8
\( {8}^{4 - 2 +3} = {8}^{?} \\ {8}^{5} = {8}^{?} \\ 5 = {?}\)
Find the total amount you will pay on a bill of $43.50 and tip rate of 12%.
Answer:
About $48.72
Step-by-step explanation:
Tip = Cost * 0.xx
Total including Tip = Cost * 1.xx
where xx = the percent tip you want to leave.
Which inequality is represented by this graph?
10
I
(0.1) (6.0)
X
- 10
10
- 10
Answer:
C
Step-by-step explanation:
Because in graph there are boxes
And boxez are squre
And C is the answer
You Fool
Yoo Fool
Suppose there are five processes, their arrival time and running time are listed as follows. Adopt FCFS and SJF, respectively, give the schedule order and average waiting time. (12) 1) Give the schedule order of FCFS. (3) 2) Compute the average waiting time of FCFS. (3) Give the schedule order of SJF. (3) 3) 4) Compute the average waiting time of SJF. (3) Process Arrival time Running time Pl 0 3 P2 3 10 P3 4 6 P4 5 1
Average waiting time for FCFS: 8.75
SJF schedule order: Pl -> P4 -> P3 -> P2Average waiting time for SJF: 4.75
To solve this scheduling problem using FCFS (First-Come, First-Served) and SJF (Shortest Job First) algorithms, let's go step by step:
Schedule order for FCFS:
The FCFS algorithm schedules processes based on their arrival time. So, the schedule order for FCFS is as follows:
Pl -> P2 -> P3 -> P4
Average waiting time for FCFS:
To compute the average waiting time for FCFS, we need to calculate the waiting time for each process and then take the average.
Process | Arrival Time | Running Time | Waiting Time
Pl | 0 | 3 | 0
P2 | 3 | 10 | 3
P3 | 4 | 6 | 13
P4 | 5 | 1 | 19
Average waiting time = (0 + 3 + 13 + 19) / 4 = 8.75
Therefore, the average waiting time for FCFS is 8.75.
Schedule order for SJF:
The SJF algorithm schedules processes based on their running time. The process with the shortest running time gets executed first. If multiple processes have the same running time, the process with the earliest arrival time is selected first. The schedule order for SJF is as follows:
Pl -> P4 -> P3 -> P2
Average waiting time for SJF:
To compute the average waiting time for SJF, we need to calculate the waiting time for each process and then take the average.
Process | Arrival Time | Running Time | Waiting Time
Pl | 0 | 3 | 0
P4 | 5 | 1 | 3
P3 | 4 | 6 | 6
P2 | 3 | 10 | 10
Average waiting time = (0 + 3 + 6 + 10) / 4 = 4.75
Therefore, the average waiting time for SJF is 4.75.
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how do you find eg?
Step-by-step explanation:
L side 18 + 10 + 12 = 40
R side = 28
The R side is cut up into lengths of the same ratios as the L
EG = 10 / 40 * 28 = 7
where s is weekly sales in dollars and t is the number of weeks since the end of the campaign. (a) find the rate of change of s (that is, the rate of sales decay).
The rate of change of S for the weekly sales is :
-250 000e⁻°·⁵t
Given:
the sales of the product is :
S = 500,000e^-0.5t
where S is the weekly sales in the dollars and t is the number of weeks since end of the campaign.
we are asked to find the rate of sales dS/dt = ?
that is the rate of sales of delay.
Given:
S = 500,000e^-0.5t
dS/dt =(500,000)e^-0.5t + 500,00 (e^-0.5t)
= 0 + 500,00 (e^-0.5t)
= - 250 000 e^0.5t
therefore, dS/dt = - 250 000 e^0.5t
Hence we get the required answer.
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Pllzzzzz i need help im in a dca helppp
15. What is the value of x in the figure bellow?
Answer:
x=22.5
Step-by-step explanation:
what is the result of -25 x(84/21)+(-3)x(-6) ??
Answer:
-82
Step-by-step explanation:
84/21=4
-25x4=-100
-3x-6=18
-100+18=-82
[Question 1] You are working with a population of crickets. Before the mating season you check to make sure that the population is in Hardy-Weinberg equilibrium, and you find that the population is in equilibrium. During the mating season you observe that individuals in the population will only mate with others of the same genotype (for example Dd individuals will only mate with Dd individuals). There are only two alleles at this locus ( D is dominant, d is recessive), and you have determined the frequency of the D allele =0.6 in this population. Selection acts against homozygous dominant individuals and their survivorship per generation is 80%. After one generation the frequency of DD individuals will decrease in the population. F
:According to the question:You are working with a population of crickets. Before the mating season you check to make sure that the population is in Hardy-Weinberg equilibrium, and you find that the population is in equilibrium.
During the mating season you observe that individuals in the population will only mate with others of the same genotype (for example Dd individuals will only mate with Dd individuals). There are only two alleles at this locus ( D is dominant, d is recessive), and you have determined the frequency of the D allele =0.6 in this population. Selection acts against homozygous dominant individuals and their survivorship per generation is 80%. After one generation the frequency of DD individuals will decrease in the population.
According to the Hardy-Weinberg equilibrium equation p² + 2pq + q² = 1, the frequency of D (p) and d (q) alleles are:p + q = 1Thus, the frequency of q is 0.4. Here are the calculations for the Hardy-Weinberg equilibrium:p² + 2pq + q² = 1(0.6)² + 2(0.6)(0.4) + (0.4)² = 1After simplifying, it becomes:0.36 + 0.48 + 0.16 = 1This means that the population is in Hardy-Weinberg equilibrium. This is confirmed as the frequencies of DD, Dd, and dd genotypes
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24. $5.24 + 23¢ + 2¢ (53)
Answer:
$5.49
Step-by-step explanation:
Rewrite 23¢ and 2¢ as $0.23 and $0.02, and then combine them: $0.25. Now add this result to $5.24. We get $5.49
Is Figure 1 similar to Figure 2?
Answer:
no figure 1 isn't similar to figure 2
Step-by-step explanation:
because its sides aren't the same numbers nor do the numbers correlate with the numbers in figure one its 2 different numbers
see question above to solve
Answer:
b = 30°
Step-by-step explanation:
a + b + 90° = 180°
60° + 90° + b = 180°
150° + b = 180° ( subtract 150° from both sides )
b = 30°
Someone please help explain how to do it and please help me
Answer: 7
Step-by-step explanation:
First, do 221 divided by 13 to get how many dollars per hour which is 17 and then do 119 divided by 17 to get the amount of hours.
Find the equation of the line that passes through (9,-4) and (-1,-8).
Answer:
\(y = \frac{2}{5} x - 7 \frac{3}{5} \)
Step-by-step explanation:
Slope-intercept form
y= mx +c, where m is the gradient and c is the y-intercept.
\(\boxed{gradient = \frac{y1 - y2}{x1 - x2} }\)
Gradient
\( = \frac{ - 4 - ( - 8)}{9 - ( - 1)} \)
\( = \frac{ - 4 + 8}{9 + 1} \)
\( = \frac{4}{10} \)
\( = \frac{2}{5} \)
Substitute the value of the gradient into the equation:
\(y = \frac{2}{5} x + c\)
To find the value of the y-intercept, substitute a pair of coordinates.
When x= -1, y= -8,
\( - 8 = \frac{2}{5} ( - 1) + c\)
\( - 8 = - \frac{2}{5} + c\)
\(c = - 8 + \frac{2}{5} \)
\(c = - 7 \frac{3}{5} \)
Thus the equation of the line is \(y = \frac{2}{5} x - 7 \frac{3}{5} \).
Rocky Mountain Tire Center sells 7,000 go-cart tires per year. The ordering cost for each order is $40, and the holding cost is 40% of the purchase price of the tires per year. The purchase price is $23 per tire if fewer than 200 tires are ordered, $18 per tire if 200 or more, but fewer than 5,000 , tires are ordered, and $15 per tire if 5,000 or more tires are ordered. a) How many tires should Rocky Mountain order each time it places an order?
To determine the optimal order quantity for Rocky Mountain Tire Center, you must consider ordering costs, storage costs, and the purchase price of the tires. The order quantity should minimize the total cost including both ordering cost and storage cost.
The EOQ formula is given by: EOQ = √((2DS) / H)
Where: D = Annual demand (7,000 go-cart tires)
S = Ordering cost per order ($40) H = Holding cost - percentage of the purchase price (40% of the purchase price)
we need to determine the purchase price per tire based on the quantity ordered.
EOQ = √((2 * 7,000 * 40) / (0.4 * 15))
=118 tires
they should order approximately 118 tires.
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use definition 1 or 2 to find the instantaneous rate of change of the function at the given value. f(t) = t2, t = 3
The instantaneous rate of change of a function is the slope of the tangent line to the function at a specific point. It describes the rate at which the function is changing at that exact point.
To find the instantaneous rate of change of the function f(t) = t^2 at t = 3, we need to use definition 1 or 2 of the derivative.
Definition 1: f'(t) = lim h->0 [f(t+h) - f(t)]/h
Plugging in t = 3 and simplifying, we get:
f'(3) = lim h->0 [(3+h)^2 - 3^2]/h
= lim h->0 [9 + 6h + h^2 - 9]/h
= lim h->0 (6 + h)
= 6
Therefore, the instantaneous rate of change of f(t) = t^2 at t = 3 is 6.
Definition 2: f'(t) = lim x->t [f(x) - f(t)]/(x - t)
Plugging in t = 3 and simplifying, we get:
f'(3) = lim x->3 [(x)^2 - 3^2]/(x - 3)
= lim x->3 (x + 3)
= 6
Therefore, the instantaneous rate of change of f(t) = t^2 at t = 3 is also 6 using definition 2.
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A pharmacist put 1.32 ounces of vitamins into pill bottles. Each pill bottle holds 0.033 ounces. How many bottles did the pharmacist use?
Answer:
40 pill bottles
Step-by-step explanation:
pill bottle : ounce of vitamin
1 : 0.033
x : 1.32
\(\frac{1.32}{0.033} *1\) = 40
Perform A Line By Line Estimate For A Proposed Warehouse. The Existing Warehouse Is 10,000SF And Has A Perimeter Of 410LF. The Proposed Warehouse Is 15,000SF, And Has A Perimeter Of 500LF. Calculate The Area And Perimeter Ratios, Enter Them Into The Spreadsheet, And Calculate The Overall Cost For The Proposed 15000 SF Warehouse. Enter The Appropriate Ratio
The Area Ratio is 1.5. and Perimeter Ratio is 1.22. The estimated overall cost for the proposed 15,000 SF warehouse is $150,000.
To perform a line by line estimate for the proposed warehouse, we'll calculate the area and perimeter ratios between the existing and proposed warehouses. We'll then use these ratios to estimate the overall cost for the proposed 15,000 square feet (SF) warehouse.
Given: Existing Warehouse:
Area: 10,000 SF
Perimeter: 410 LF
Proposed Warehouse:
Area: 15,000 SF
Perimeter: 500 LF
First, let's calculate the area ratio:
Area Ratio = Proposed Area / Existing Area
Area Ratio = 15,000 SF / 10,000 SF
Area Ratio = 1.5
Next, let's calculate the perimeter ratio:
Perimeter Ratio = Proposed Perimeter / Existing Perimeter
Perimeter Ratio = 500 LF / 410 LF
Perimeter Ratio = 1.22 (rounded to two decimal places)
We'll now use these ratios to estimate the overall cost for the proposed 15,000 SF warehouse. Since we don't have specific cost figures, we'll assume a linear relationship between the area and cost.
Cost Estimate = Existing Cost * Area Ratio
Let's assume the existing cost is $100,000.
Cost Estimate = $100,000 * 1.5
Cost Estimate = $150,000
Therefore, the estimated overall cost for the proposed 15,000 SF warehouse is $150,000.
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Rational numbers are _____ natural numbers.
sometimes
always
never
Answer: sometimes
Step-by-step explanation:
sometimes
The rational numbers include all the integers, plus all fractions, or terminating decimals and repeating decimals. ... All natural numbers, whole numbers, and integers are rationals, but not all rational numbers are natural numbers, whole numbers, or integers.
A newborn presents with swelling of soft tissue of the scalp which crosses the suture lines with bruising. You suspect:
Caput succedaneum refers to common benign edema that crosses cranial suture lines and midline that appears on an infant's scalp shortly after birth.
Caput succedaneum is swelling (edema) that affects a newborn's scalp. It most commonly occurs from pressure on the head as the baby moves through the birth canal during a prolonged or difficult vaginal delivery. In caput succedaneum (kuh-PUT sec-seh-DAY-knee-um), fluid builds underneath the scalp, causing swelling.
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The given question is incomplete, so i take similar question
What is swelling that crosses the suture lines on the newborn's head called?
Can anyone help me please thank you
Answer:
The first option
Step-by-step explanation:
Because when you multiply the first equation by 2, it sets the -x to -2x which helps cancel the variable out allowing you to easily solve the system of equations.
Find the coordinates of the point 3/10 of the way from A to B.
The coordinates of the point 3/10 of the way between A and B are (-19/15, 1/5).
What is defined as the section formula?The Section formula is used in coordinate geometry to find the ratio of a line segment divided by a point, either internally or externally. It determines the centroid, incenter, and excenters of a triangle.Let P be the point that is 3/10 of a way from A to B. This means that it divides P in the ratio 3:10 = AP/PB = 3/10.
To find the coordinates, use the internal division formula, which is given as:
x = (mx₂ + nx₁)/(m + n)
y = (my₂ + ny₁)/(m + n)
Where,
(x₁, y₁) = A(-3, -5)
(x₂, y₂) = B(12, 4)
m = 3 and n = 10.
Substitute the values to find the x and y coordinates of point P.
y = (3×4 + 10(-5))/(3 +10)
On solving;
y = -19/15
Solve for x coordinates;
y = (3(12) + 10(-3)/(3 +10)
on solving;
y = 1/5
Therefore, the coordinates of the point 3/10 a way from A and B is (-19/15, 1/5).
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